summaryrefslogtreecommitdiff
path: root/tempering_analysis.nb
blob: 80e02b2143bc7fe554e40dd9f44a0ec760a89243 (plain)
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
(* Content-type: application/vnd.wolfram.mathematica *)

(*** Wolfram Notebook File ***)
(* http://www.wolfram.com/nb *)

(* CreatedBy='Mathematica 12.0' *)

(*CacheID: 234*)
(* Internal cache information:
NotebookFileLineBreakTest
NotebookFileLineBreakTest
NotebookDataPosition[       158,          7]
NotebookDataLength[    379721,       7420]
NotebookOptionsPosition[    372668,       7302]
NotebookOutlinePosition[    373035,       7318]
CellTagsIndexPosition[    372992,       7315]
WindowFrame->Normal*)

(* Beginning of Notebook Content *)
Notebook[{
Cell[BoxData[
 RowBox[{
  RowBox[{"getData", "[", "dir_", "]"}], ":=", 
  RowBox[{"Dataset", "[", 
   RowBox[{
    RowBox[{
     RowBox[{"With", "[", 
      RowBox[{
       RowBox[{"{", 
        RowBox[{
         RowBox[{"data", "=", 
          RowBox[{"Import", "[", "#", "]"}]}], ",", 
         RowBox[{"metadata", "=", 
          RowBox[{"ToExpression", "/@", 
           RowBox[{"Rest", "[", 
            RowBox[{"StringSplit", "[", 
             RowBox[{
              RowBox[{"FileBaseName", "[", "#", "]"}], ",", "\"\<_\>\""}], 
             "]"}], "]"}]}]}]}], "}"}], ",", 
       RowBox[{"<|", 
        RowBox[{
         RowBox[{"\"\<n\>\"", "\[Rule]", 
          RowBox[{"metadata", "[", 
           RowBox[{"[", "1", "]"}], "]"}]}], ",", 
         RowBox[{"\"\<\[Beta]0\>\"", "\[Rule]", 
          RowBox[{"metadata", "[", 
           RowBox[{"[", "2", "]"}], "]"}]}], ",", 
         RowBox[{"\"\<\[Beta]1\>\"", "\[Rule]", 
          RowBox[{"metadata", "[", 
           RowBox[{"[", "3", "]"}], "]"}]}], ",", 
         RowBox[{"\"\<N\>\"", "\[Rule]", 
          RowBox[{"metadata", "[", 
           RowBox[{"[", "4", "]"}], "]"}]}], ",", 
         RowBox[{"\"\<\[Beta]s\>\"", "\[Rule]", 
          RowBox[{"data", "[", 
           RowBox[{"[", "1", "]"}], "]"}]}], ",", 
         RowBox[{"\"\<f\>\"", "\[Rule]", 
          RowBox[{"data", "[", 
           RowBox[{"[", "2", "]"}], "]"}]}], ",", 
         RowBox[{"\"\<ps\>\"", "\[Rule]", 
          RowBox[{"data", "[", 
           RowBox[{"[", "3", "]"}], "]"}]}], ",", 
         RowBox[{"\"\<Es\>\"", "\[Rule]", 
          RowBox[{"data", "[", 
           RowBox[{"[", "4", "]"}], "]"}]}], ",", 
         RowBox[{"\"\<Cs\>\"", "\[Rule]", 
          RowBox[{
           SuperscriptBox[
            RowBox[{"data", "[", 
             RowBox[{"[", "1", "]"}], "]"}], "2"], 
           RowBox[{"data", "[", 
            RowBox[{"[", "5", "]"}], "]"}]}]}], ",", 
         RowBox[{"\"\<\[Rho]s\>\"", "\[Rule]", 
          RowBox[{
           RowBox[{"(", 
            RowBox[{
             RowBox[{"#", "/", 
              RowBox[{"Total", "[", "#", "]"}]}], "&"}], ")"}], "/@", 
           RowBox[{"data", "[", 
            RowBox[{"[", 
             RowBox[{"6", ";;"}], "]"}], "]"}]}]}]}], "|>"}]}], "]"}], "&"}], 
    "/@", 
    RowBox[{"FileNames", "[", 
     RowBox[{"FileNameJoin", "[", 
      RowBox[{"{", 
       RowBox[{"dir", ",", "\"\<hmm_*.dat\>\""}], "}"}], "]"}], "]"}]}], 
   "]"}]}]], "Input",
 CellChangeTimes->{{3.778948155736003*^9, 3.778948220094614*^9}, {
   3.778948251774682*^9, 3.778948445776267*^9}, 3.7849915996103563`*^9, {
   3.784991674882406*^9, 3.784991676833317*^9}, {3.785001256798332*^9, 
   3.785001295499127*^9}, {3.7850013404547863`*^9, 3.785001375744542*^9}, {
   3.78500144259391*^9, 3.7850014923774643`*^9}, {3.7850917037659607`*^9, 
   3.785091718086301*^9}, {3.785804403591153*^9, 3.7858046033535*^9}, {
   3.7858046959527397`*^9, 3.7858046963435593`*^9}, {3.785804895089408*^9, 
   3.785804919668272*^9}, {3.785870396919524*^9, 3.785870421125996*^9}, {
   3.789742875252179*^9, 3.7897428826827908`*^9}, {3.789745855694088*^9, 
   3.7897458585723753`*^9}, 3.789745905309957*^9, {3.789816778074827*^9, 
   3.789816780007482*^9}},
 CellLabel->"In[1]:=",ExpressionUUID->"6ca216e4-4a7b-4e5f-a718-f4e70c77d6a2"],

Cell[BoxData[
 RowBox[{
  RowBox[{
   RowBox[{"c", "[", 
    RowBox[{"\[Beta]i_", ",", "\[Beta]j_"}], "]"}], "[", "A_", "]"}], ":=", 
  RowBox[{"2", 
   FractionBox[
    RowBox[{"(", 
     RowBox[{
      SuperscriptBox["\[Beta]i", "2"], "+", 
      SuperscriptBox["\[Beta]j", "2"]}], ")"}], 
    SuperscriptBox[
     RowBox[{"(", 
      RowBox[{"\[Beta]i", "-", "\[Beta]j"}], ")"}], "2"]], 
   SuperscriptBox[
    RowBox[{"InverseErfc", "[", "A", "]"}], "2"]}]}]], "Input",
 CellChangeTimes->{{3.7789451133983593`*^9, 3.778945185413146*^9}, {
  3.778945446992125*^9, 3.778945447478743*^9}},
 CellLabel->"In[2]:=",ExpressionUUID->"f756d73a-4921-45d7-acd1-44fe21438a02"],

Cell[BoxData[
 RowBox[{
  RowBox[{"Ts", "[", "dat_", "]"}], ":=", 
  RowBox[{"dat", "[", "\"\<\[Beta]s\>\"", "]"}]}]], "Input",
 CellChangeTimes->{{3.778948523412203*^9, 3.778948610089134*^9}, {
  3.7789486512266293`*^9, 3.778948654153482*^9}, {3.785091924316422*^9, 
  3.785091992968083*^9}, {3.785804631517852*^9, 3.785804644235256*^9}},
 CellLabel->"In[3]:=",ExpressionUUID->"c91e85b2-f90e-40d7-bf19-7a03fd9499bb"],

Cell[BoxData[
 RowBox[{
  RowBox[{"Cstmp", "[", "dat_", "]"}], ":=", 
  RowBox[{"With", "[", 
   RowBox[{
    RowBox[{"{", 
     RowBox[{"ts", "=", 
      RowBox[{"Ts", "[", "dat", "]"}]}], "}"}], ",", 
    RowBox[{"{", 
     RowBox[{
      RowBox[{
       RowBox[{
        RowBox[{"{", 
         RowBox[{"#", ",", 
          RowBox[{"#", "+", 
           RowBox[{"ts", "[", 
            RowBox[{"[", "2", "]"}], "]"}], "-", 
           RowBox[{"ts", "[", 
            RowBox[{"[", "1", "]"}], "]"}]}]}], "}"}], "&"}], "/@", "ts"}], 
      ",", 
      RowBox[{"dat", "[", "\"\<ps\>\"", "]"}]}], "}"}]}], "]"}]}]], "Input",
 CellChangeTimes->{{3.7789537137281647`*^9, 3.7789537203664207`*^9}, {
  3.785804654584515*^9, 3.785804658431868*^9}},
 CellLabel->"In[4]:=",ExpressionUUID->"1b068f0a-fa61-487d-893c-5b00f279e758"],

Cell[BoxData[
 RowBox[{
  RowBox[{"Cs", "[", "dat_", "]"}], ":=", 
  RowBox[{"With", "[", 
   RowBox[{
    RowBox[{"{", 
     RowBox[{"ts", "=", 
      RowBox[{"Ts", "[", "dat", "]"}]}], "}"}], ",", 
    RowBox[{"MapThread", "[", 
     RowBox[{
      RowBox[{
       RowBox[{"{", 
        RowBox[{
         RowBox[{"Mean", "[", 
          RowBox[{"{", 
           RowBox[{
            RowBox[{"#1", "[", 
             RowBox[{"[", "1", "]"}], "]"}], ",", 
            RowBox[{"#1", "[", 
             RowBox[{"[", "2", "]"}], "]"}]}], "}"}], "]"}], ",", 
         RowBox[{
          RowBox[{"c", "[", 
           RowBox[{
            RowBox[{"#1", "[", 
             RowBox[{"[", "1", "]"}], "]"}], ",", 
            RowBox[{"#1", "[", 
             RowBox[{"[", "2", "]"}], "]"}]}], "]"}], "[", "#2", "]"}]}], 
        "}"}], "&"}], ",", 
      RowBox[{"{", 
       RowBox[{
        RowBox[{"MapThread", "[", 
         RowBox[{
          RowBox[{
           RowBox[{"#1", "+", 
            RowBox[{"{", 
             RowBox[{"0", ",", "#2"}], "}"}]}], "&"}], ",", 
          RowBox[{"{", 
           RowBox[{
            RowBox[{"Most", "[", "ts", "]"}], ",", 
            RowBox[{"Differences", "[", "ts", "]"}]}], "}"}]}], "]"}], ",", 
        RowBox[{"dat", "[", "\"\<ps\>\"", "]"}]}], "}"}]}], "]"}]}], 
   "]"}]}]], "Input",
 CellChangeTimes->{{3.7789479000625353`*^9, 3.7789480157738333`*^9}, {
  3.778948503834503*^9, 3.778948518745183*^9}, {3.778948666921554*^9, 
  3.778948688346896*^9}, {3.7789536224795513`*^9, 3.778953623110043*^9}, {
  3.778953673879937*^9, 3.778953685238799*^9}, {3.778953742582839*^9, 
  3.778953745606895*^9}, {3.7850922784387903`*^9, 3.785092334045607*^9}, {
  3.785804672596216*^9, 3.785804675153932*^9}},
 CellLabel->"In[5]:=",ExpressionUUID->"83b164e2-d1bf-4be5-bf92-d3645cb950ca"],

Cell[BoxData[
 RowBox[{
  RowBox[{"logZ0", "[", "n_", "]"}], ":=", 
  RowBox[{
   RowBox[{
    RowBox[{"(", 
     RowBox[{"n", "-", "1"}], ")"}], 
    RowBox[{"(", 
     RowBox[{
      RowBox[{"n", "/", "4"}], "+", "1"}], ")"}], 
    RowBox[{"Log", "[", "2", "]"}]}], "+", 
   RowBox[{"Sum", "[", 
    RowBox[{
     RowBox[{
      RowBox[{
       FractionBox["k", "2"], 
       RowBox[{"Log", "[", "\[Pi]", "]"}]}], "-", 
      RowBox[{"Log", "[", 
       RowBox[{"Gamma", "[", 
        RowBox[{"k", "/", "2"}], "]"}], "]"}]}], ",", 
     RowBox[{"{", 
      RowBox[{"k", ",", "2", ",", "n"}], "}"}]}], "]"}]}]}]], "Input",
 CellChangeTimes->{{3.784991222937964*^9, 3.784991266472834*^9}, {
  3.784991403570047*^9, 3.784991404177*^9}, {3.7849915386807756`*^9, 
  3.784991539440803*^9}, {3.7860403579487467`*^9, 3.7860404711525*^9}, {
  3.7860406298600283`*^9, 3.7860406306484127`*^9}},
 CellLabel->"In[6]:=",ExpressionUUID->"f81a2199-caac-407b-95bf-2211d7b265a5"],

Cell[BoxData[
 RowBox[{
  RowBox[{
   RowBox[{"logZ", "[", "n_", "]"}], "[", "\[Beta]_", "]"}], ":=", 
  RowBox[{
   RowBox[{"logN", "[", "n", "]"}], "+", 
   RowBox[{"n", 
    RowBox[{
     RowBox[{"(", 
      RowBox[{"n", "-", "1"}], ")"}], "/", "4"}], 
    RowBox[{"Log", "[", 
     FractionBox[
      RowBox[{"2", "\[Pi]", " ", "\[ExponentialE]"}], 
      RowBox[{"n", " ", "\[Beta]"}]], "]"}]}]}]}]], "Input",
 CellChangeTimes->{{3.7860366301695232`*^9, 3.78603671133499*^9}, {
  3.7860405792534246`*^9, 3.786040612454341*^9}, {3.786040708688937*^9, 
  3.7860407113402042`*^9}, {3.789830910073181*^9, 3.789830910887369*^9}, {
  3.789831116169219*^9, 3.789831161489019*^9}},
 CellLabel->"In[7]:=",ExpressionUUID->"a0e3da7a-9e7b-466f-bc4d-cb0b0d8819f4"],

Cell[BoxData[
 RowBox[{
  RowBox[{"\[CapitalDelta]Ss", "[", "dat_", "]"}], ":=", 
  RowBox[{"With", "[", 
   RowBox[{
    RowBox[{"{", 
     RowBox[{
      RowBox[{"ts", "=", 
       RowBox[{"Ts", "[", "dat", "]"}]}], ",", 
      RowBox[{"cs", "=", 
       RowBox[{"Cs", "[", "dat", "]"}]}]}], "}"}], ",", 
    RowBox[{
     RowBox[{
      RowBox[{"{", 
       RowBox[{
        RowBox[{"Mean", "[", "#1", "]"}], ",", 
        FractionBox[
         RowBox[{"#2", 
          RowBox[{"(", 
           RowBox[{
            RowBox[{"#1", "[", 
             RowBox[{"[", "2", "]"}], "]"}], "-", 
            RowBox[{"#1", "[", 
             RowBox[{"[", "1", "]"}], "]"}]}], ")"}]}], 
         RowBox[{"Mean", "[", "#1", "]"}]]}], "}"}], "&"}], "@@@", 
     RowBox[{"Thread", "[", 
      RowBox[{"{", 
       RowBox[{
        RowBox[{"Rest", "@", 
         RowBox[{"Rest", "[", 
          RowBox[{"FoldList", "[", 
           RowBox[{
            RowBox[{
             RowBox[{"{", 
              RowBox[{
               RowBox[{"#1", "[", 
                RowBox[{"[", "2", "]"}], "]"}], ",", "#2"}], "}"}], "&"}], 
            ",", 
            RowBox[{"{", 
             RowBox[{"0", ",", "0"}], "}"}], ",", "ts"}], "]"}], "]"}]}], ",", 
        RowBox[{
         RowBox[{"Cs", "[", "dat", "]"}], "[", 
         RowBox[{"[", 
          RowBox[{"All", ",", "2"}], "]"}], "]"}]}], "}"}], "]"}]}]}], 
   "]"}]}]], "Input",
 CellChangeTimes->{{3.779561994673626*^9, 3.7795620342479887`*^9}, {
  3.779700498628436*^9, 3.779700513292344*^9}, {3.7797005747090063`*^9, 
  3.779700575188902*^9}, {3.779700627710291*^9, 3.7797006535654173`*^9}, {
  3.779700716133662*^9, 3.7797008200306168`*^9}, {3.779700857824486*^9, 
  3.7797008584386597`*^9}, {3.7797008994884863`*^9, 3.779700901055118*^9}, {
  3.779700939144706*^9, 3.779700939215414*^9}, {3.784991004834445*^9, 
  3.7849910388807697`*^9}, {3.78499127505939*^9, 3.78499130611341*^9}, {
  3.784991358538706*^9, 3.784991380665337*^9}, {3.78499900310424*^9, 
  3.7849990048956738`*^9}, {3.7860344496890173`*^9, 3.786034449949182*^9}, {
  3.786034500347063*^9, 3.786034500511032*^9}},
 CellLabel->"In[8]:=",ExpressionUUID->"cfeba3ce-dc48-40c8-b8b8-f34cf59a253d"],

Cell[BoxData[
 RowBox[{
  RowBox[{
   RowBox[{"Cf", "[", "dat_", "]"}], "[", "x_", "]"}], ":=", 
  RowBox[{
   RowBox[{"Interpolation", "[", 
    RowBox[{"Normal", "@", 
     RowBox[{"Prepend", "[", 
      RowBox[{
       RowBox[{"Thread", "[", 
        RowBox[{"{", 
         RowBox[{
          RowBox[{"Normal", "@", 
           RowBox[{"dat", "[", "\"\<\[Beta]s\>\"", "]"}]}], ",", 
          RowBox[{
           RowBox[{
            RowBox[{"Normal", "@", 
             RowBox[{"dat", "[", "\"\<Cs\>\"", "]"}]}], "/", 
            RowBox[{"Normal", "@", 
             RowBox[{"dat", "[", "\"\<\[Beta]s\>\"", "]"}]}]}], "/", 
           SuperscriptBox[
            RowBox[{"dat", "[", "\"\<n\>\"", "]"}], "2"]}]}], "}"}], "]"}], 
       ",", 
       RowBox[{"{", 
        RowBox[{"0", ",", "0"}], "}"}]}], "]"}]}], "]"}], "[", "x", 
   "]"}]}]], "Input",
 CellChangeTimes->{{3.78981937873456*^9, 3.789819402196154*^9}, 
   3.789819474816937*^9, {3.790681092801322*^9, 3.790681117801856*^9}, {
   3.790681180513014*^9, 3.7906811931278267`*^9}, {3.790681242639571*^9, 
   3.790681258207963*^9}, {3.7906812901132507`*^9, 3.790681290231492*^9}, {
   3.790681402002227*^9, 3.790681423050158*^9}, {3.790685542851465*^9, 
   3.790685542953432*^9}, {3.790685591570828*^9, 3.790685622587248*^9}, {
   3.7906857070679502`*^9, 3.7906857098174353`*^9}, {3.790686466475259*^9, 
   3.7906865000258904`*^9}, {3.790686531395797*^9, 3.790686531553914*^9}},
 CellLabel->
  "In[263]:=",ExpressionUUID->"9b0c3339-71cd-41f6-9ef3-ca7bd5b2e440"],

Cell[BoxData[
 RowBox[{
  RowBox[{"oldSs", "[", "dat_", "]"}], ":=", 
  RowBox[{"With", "[", 
   RowBox[{
    RowBox[{"{", 
     RowBox[{"ss", "=", 
      RowBox[{"\[CapitalDelta]Ss", "[", "dat", "]"}]}], "}"}], ",", 
    RowBox[{"Thread", "[", 
     RowBox[{"{", 
      RowBox[{
       RowBox[{"ss", "[", 
        RowBox[{"[", 
         RowBox[{"All", ",", "1"}], "]"}], "]"}], ",", 
       RowBox[{"Accumulate", "[", 
        RowBox[{"ss", "[", 
         RowBox[{"[", 
          RowBox[{"All", ",", "2"}], "]"}], "]"}], "]"}]}], "}"}], "]"}]}], 
   "]"}]}]], "Input",
 CellChangeTimes->{{3.779700960584425*^9, 3.7797010023114433`*^9}, {
  3.7849910515540743`*^9, 3.784991075832299*^9}, {3.784991369146078*^9, 
  3.7849913764007483`*^9}, {3.784991547938244*^9, 3.784991556568716*^9}, {
  3.7849917900181932`*^9, 3.784991803720964*^9}, {3.784991863633103*^9, 
  3.784991884800845*^9}, {3.784992068826951*^9, 3.7849920762732773`*^9}, {
  3.784992122226707*^9, 3.7849921237610617`*^9}, {3.7849921543708973`*^9, 
  3.784992167089695*^9}, {3.784992239922765*^9, 3.784992242761147*^9}, {
  3.7849989835196743`*^9, 3.784998984447055*^9}, {3.785000974761281*^9, 
  3.785000975480179*^9}, {3.789830929032741*^9, 3.789830929207098*^9}},
 CellLabel->
  "In[114]:=",ExpressionUUID->"a1830ef0-911d-442d-b5d2-b62c202fce89"],

Cell[BoxData[
 RowBox[{
  RowBox[{
   RowBox[{"Sf", "[", "dat_", "]"}], "[", "x_", "]"}], ":=", 
  RowBox[{"Integrate", "[", 
   RowBox[{
    RowBox[{
     RowBox[{"Cf", "[", "dat", "]"}], "[", "x", "]"}], ",", "x"}], 
   "]"}]}]], "Input",
 CellChangeTimes->{{3.789817903707137*^9, 3.789817918665738*^9}, {
   3.7898179830831623`*^9, 3.789818070963172*^9}, 3.789818128172594*^9, {
   3.789818328048049*^9, 3.789818328991467*^9}, {3.78981865828652*^9, 
   3.789818665814815*^9}, {3.789819419187801*^9, 3.7898194204672337`*^9}, {
   3.789831192249136*^9, 3.789831192735342*^9}},
 CellLabel->
  "In[115]:=",ExpressionUUID->"c5d823f9-e85c-4b3b-b05c-3154ec28aa66"],

Cell[BoxData[
 RowBox[{
  RowBox[{"ff", "[", 
   RowBox[{"dat_", ",", "\[CapitalDelta]x_", ",", "\[Delta]x_"}], "]"}], ":=", 
  RowBox[{"Module", "[", 
   RowBox[{
    RowBox[{"{", "x", "}"}], ",", 
    RowBox[{"Module", "[", 
     RowBox[{
      RowBox[{"{", 
       RowBox[{
        RowBox[{"n", "=", 
         RowBox[{"dat", "[", "\"\<n\>\"", "]"}]}], ",", "\[Beta]", ",", 
        RowBox[{"xmax", "=", 
         RowBox[{"dat", "[", "\"\<\[Beta]1\>\"", "]"}]}]}], "}"}], ",", 
      "\[IndentingNewLine]", 
      RowBox[{"Solve", "[", 
       RowBox[{
        RowBox[{
         RowBox[{"(", 
          RowBox[{
           RowBox[{
            RowBox[{"Sf", "[", "dat", "]"}], "[", "x", "]"}], "/.", 
           RowBox[{"{", 
            RowBox[{"x", "\[Rule]", "xmax"}], "}"}]}], ")"}], "==", 
         RowBox[{
          RowBox[{"(", 
           RowBox[{
            RowBox[{"logZ0", "[", "n", "]"}], "-", 
            RowBox[{
             RowBox[{"logZ", "[", "n", "]"}], "[", "xmax", "]"}]}], ")"}], 
          "/", 
          SuperscriptBox["n", "2"]}]}], ",", 
        RowBox[{"logN", "[", "n", "]"}]}], "]"}]}], "\[IndentingNewLine]", 
     "]"}]}], "]"}]}]], "Input",
 CellChangeTimes->{{3.7898311955449543`*^9, 3.7898312093030577`*^9}, {
  3.789831243231729*^9, 3.789831244079329*^9}, {3.789831294191235*^9, 
  3.789831426152293*^9}, {3.789831478986567*^9, 3.789831485824489*^9}, {
  3.7898315199939957`*^9, 3.789831522392721*^9}, {3.789831606978533*^9, 
  3.7898316137600183`*^9}, {3.789831690098496*^9, 3.789831713568328*^9}, {
  3.790686819364822*^9, 3.790686924891573*^9}},
 CellLabel->
  "In[293]:=",ExpressionUUID->"b26da0ea-b484-4f10-9733-25392042ef58"],

Cell[BoxData[
 RowBox[{
  RowBox[{"d", "=", 
   RowBox[{
   "getData", "[", "\"\<~/doc/research/hadamard/code/monte_carlo\>\"", 
    "]"}]}], ";"}]], "Input",
 CellChangeTimes->{{3.778948447393362*^9, 3.778948476191824*^9}, {
  3.7795618755287123`*^9, 3.779561880399358*^9}, {3.785804692431429*^9, 
  3.785804692864304*^9}, {3.7858129014364243`*^9, 3.7858129030771227`*^9}, {
  3.789743002867009*^9, 3.789743004777854*^9}},
 CellLabel->
  "In[117]:=",ExpressionUUID->"3b7ef50e-b362-4da3-b734-818bb17a7c2f"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"d", "[", 
  RowBox[{"All", ",", 
   RowBox[{
    RowBox[{"{", 
     RowBox[{"#n", ",", "#N", ",", "#\[Beta]1"}], "}"}], "&"}]}], 
  "]"}]], "Input",
 CellChangeTimes->{{3.790500857951195*^9, 3.790500873614827*^9}},
 CellLabel->
  "In[118]:=",ExpressionUUID->"1d9176bd-3b77-4ecc-9453-1c9a125a6eca"],

Cell[BoxData[
 TemplateBox[{TagBox[
    DynamicModuleBox[{
     TypeSystem`NestedGrid`PackagePrivate`$state$$ = 
      Data`UnorderedAssociation[
       "RowCount" -> 8, "Length" -> 8, "InitialType" -> TypeSystem`Vector[
          TypeSystem`Tuple[{
            TypeSystem`Atom[Integer], 
            TypeSystem`Atom[Integer], 
            TypeSystem`Atom[Real]}], 8], "Shape" -> 
        TypeSystem`PackageScope`Limited[
          TypeSystem`PackageScope`ColumnShape[
           TypeSystem`PackageScope`RowShape[{
             TypeSystem`PackageScope`AtomShape[34], 
             TypeSystem`PackageScope`AtomShape[34], 
             TypeSystem`PackageScope`AtomShape[60]}]], 8, {}], "InitialData" -> 
        TypeSystem`PackageScope`CacheHandle[2074065195], "Type" -> 
        TypeSystem`Vector[
          TypeSystem`Tuple[{
            TypeSystem`Atom[Integer], 
            TypeSystem`Atom[Integer], 
            TypeSystem`Atom[Real]}], 8], "HandleQ" -> True, "RowTarget" -> 20,
         "Data" -> TypeSystem`PackageScope`CacheHandle[2074065195]], 
      TypeSystem`NestedGrid`PackagePrivate`$path$$ = {}, 
      TypeSystem`NestedGrid`PackagePrivate`$pos$$ = 1, 
      TypeSystem`NestedGrid`PackagePrivate`$grid$$ = 
      DynamicModule[{
        TypeSystem`NestedGrid`PackagePrivate`renderedGrid = Deploy[
           Style[
            Grid[{{
               Pane[
                Annotation[
                 RawBoxes["12"], 
                 TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[1451539263][
                  GeneralUtilities`Slice[1, 1]], "Mouse"], 
                ImageSize -> {{34, Full}, Automatic}, 
                Alignment -> {Left, Baseline}], 
               Pane[
                Annotation[
                 RawBoxes["64"], 
                 TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[1451539263][
                  GeneralUtilities`Slice[1, 2]], "Mouse"], 
                ImageSize -> {{34, Full}, Automatic}, 
                Alignment -> {Left, Baseline}], 
               Pane[
                Annotation[
                 RawBoxes["25.0"], 
                 TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[1451539263][
                  GeneralUtilities`Slice[1, 3]], "Mouse"], 
                ImageSize -> {{60, Full}, Automatic}, 
                Alignment -> {Left, Baseline}]}, {
               Pane[
                Annotation[
                 RawBoxes["12"], 
                 TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[1451539263][
                  GeneralUtilities`Slice[2, 1]], "Mouse"], 
                ImageSize -> {{34, Full}, Automatic}, 
                Alignment -> {Left, Baseline}], 
               Pane[
                Annotation[
                 RawBoxes["128"], 
                 TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[1451539263][
                  GeneralUtilities`Slice[2, 2]], "Mouse"], 
                ImageSize -> {{34, Full}, Automatic}, 
                Alignment -> {Left, Baseline}], 
               Pane[
                Annotation[
                 RawBoxes["50.0"], 
                 TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[1451539263][
                  GeneralUtilities`Slice[2, 3]], "Mouse"], 
                ImageSize -> {{60, Full}, Automatic}, 
                Alignment -> {Left, Baseline}]}, {
               Pane[
                Annotation[
                 RawBoxes["12"], 
                 TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[1451539263][
                  GeneralUtilities`Slice[3, 1]], "Mouse"], 
                ImageSize -> {{34, Full}, Automatic}, 
                Alignment -> {Left, Baseline}], 
               Pane[
                Annotation[
                 RawBoxes["128"], 
                 TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[1451539263][
                  GeneralUtilities`Slice[3, 2]], "Mouse"], 
                ImageSize -> {{34, Full}, Automatic}, 
                Alignment -> {Left, Baseline}], 
               Pane[
                Annotation[
                 RawBoxes["50.0"], 
                 TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[1451539263][
                  GeneralUtilities`Slice[3, 3]], "Mouse"], 
                ImageSize -> {{60, Full}, Automatic}, 
                Alignment -> {Left, Baseline}]}, {
               Pane[
                Annotation[
                 RawBoxes["16"], 
                 TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[1451539263][
                  GeneralUtilities`Slice[4, 1]], "Mouse"], 
                ImageSize -> {{34, Full}, Automatic}, 
                Alignment -> {Left, Baseline}], 
               Pane[
                Annotation[
                 RawBoxes["64"], 
                 TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[1451539263][
                  GeneralUtilities`Slice[4, 2]], "Mouse"], 
                ImageSize -> {{34, Full}, Automatic}, 
                Alignment -> {Left, Baseline}], 
               Pane[
                Annotation[
                 RawBoxes["25.0"], 
                 TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[1451539263][
                  GeneralUtilities`Slice[4, 3]], "Mouse"], 
                ImageSize -> {{60, Full}, Automatic}, 
                Alignment -> {Left, Baseline}]}, {
               Pane[
                Annotation[
                 RawBoxes["16"], 
                 TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[1451539263][
                  GeneralUtilities`Slice[5, 1]], "Mouse"], 
                ImageSize -> {{34, Full}, Automatic}, 
                Alignment -> {Left, Baseline}], 
               Pane[
                Annotation[
                 RawBoxes["64"], 
                 TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[1451539263][
                  GeneralUtilities`Slice[5, 2]], "Mouse"], 
                ImageSize -> {{34, Full}, Automatic}, 
                Alignment -> {Left, Baseline}], 
               Pane[
                Annotation[
                 RawBoxes["50.0"], 
                 TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[1451539263][
                  GeneralUtilities`Slice[5, 3]], "Mouse"], 
                ImageSize -> {{60, Full}, Automatic}, 
                Alignment -> {Left, Baseline}]}, {
               Pane[
                Annotation[
                 RawBoxes["20"], 
                 TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[1451539263][
                  GeneralUtilities`Slice[6, 1]], "Mouse"], 
                ImageSize -> {{34, Full}, Automatic}, 
                Alignment -> {Left, Baseline}], 
               Pane[
                Annotation[
                 RawBoxes["64"], 
                 TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[1451539263][
                  GeneralUtilities`Slice[6, 2]], "Mouse"], 
                ImageSize -> {{34, Full}, Automatic}, 
                Alignment -> {Left, Baseline}], 
               Pane[
                Annotation[
                 RawBoxes["25.0"], 
                 TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[1451539263][
                  GeneralUtilities`Slice[6, 3]], "Mouse"], 
                ImageSize -> {{60, Full}, Automatic}, 
                Alignment -> {Left, Baseline}]}, {
               Pane[
                Annotation[
                 RawBoxes["8"], 
                 TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[1451539263][
                  GeneralUtilities`Slice[7, 1]], "Mouse"], 
                ImageSize -> {{34, Full}, Automatic}, 
                Alignment -> {Left, Baseline}], 
               Pane[
                Annotation[
                 RawBoxes["64"], 
                 TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[1451539263][
                  GeneralUtilities`Slice[7, 2]], "Mouse"], 
                ImageSize -> {{34, Full}, Automatic}, 
                Alignment -> {Left, Baseline}], 
               Pane[
                Annotation[
                 RawBoxes["25.0"], 
                 TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[1451539263][
                  GeneralUtilities`Slice[7, 3]], "Mouse"], 
                ImageSize -> {{60, Full}, Automatic}, 
                Alignment -> {Left, Baseline}]}, {
               Pane[
                Annotation[
                 RawBoxes["8"], 
                 TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[1451539263]
                 [
                  GeneralUtilities`Slice[8, 1]], "Mouse"], 
                ImageSize -> {{34, Full}, Automatic}, 
                Alignment -> {Left, Baseline}], 
               Pane[
                Annotation[
                 RawBoxes["128"], 
                 TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[1451539263][
                  GeneralUtilities`Slice[8, 2]], "Mouse"], 
                ImageSize -> {{34, Full}, Automatic}, 
                Alignment -> {Left, Baseline}], 
               Pane[
                Annotation[
                 RawBoxes["50.0"], 
                 TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[1451539263][
                  GeneralUtilities`Slice[8, 3]], "Mouse"], 
                ImageSize -> {{60, Full}, Automatic}, 
                Alignment -> {Left, Baseline}]}}, BaseStyle -> {ContextMenu -> {
                 MenuItem["Copy position to clipboard", 
                  KernelExecute[
                   TypeSystem`NestedGrid`PackagePrivate`toCurrentPosition[
                   TypeSystem`NestedGrid`PackagePrivate`copyClip]], 
                  MenuEvaluator -> Automatic], 
                 MenuItem["Copy data to clipboard", 
                  KernelExecute[
                   TypeSystem`NestedGrid`PackagePrivate`toCurrentData[
                   TypeSystem`NestedGrid`PackagePrivate`$state$$, 
                    TypeSystem`NestedGrid`PackagePrivate`copyClip]], 
                  MenuEvaluator -> Automatic], Delimiter, 
                 MenuItem["Paste position in new cell", 
                  KernelExecute[
                   TypeSystem`NestedGrid`PackagePrivate`toCurrentPosition[
                   TypeSystem`NestedGrid`PackagePrivate`cellPaste]], 
                  MenuEvaluator -> Automatic], 
                 MenuItem["Paste data in new cell", 
                  KernelExecute[
                   TypeSystem`NestedGrid`PackagePrivate`toCurrentData[
                   TypeSystem`NestedGrid`PackagePrivate`$state$$, 
                    TypeSystem`NestedGrid`PackagePrivate`cellPaste]], 
                  MenuEvaluator -> Automatic]}, FontFamily -> "Verdana", 
               FontSize -> 12}, Alignment -> Left, RowMinHeight -> 1.5, 
             Dividers -> All, FrameStyle -> GrayLevel[0.85], 
             BaseStyle -> {FontFamily -> "Verdana", FontSize -> 12}], 
            LineBreakWithin -> False, ContextMenu -> {}, NumberMarks -> False,
             ShowAutoStyles -> False]], 
         TypeSystem`NestedGrid`PackagePrivate`initialQ = True, 
         TypeSystem`NestedGrid`PackagePrivate`self = $Failed}, 
        Dynamic[
         TypeSystem`NestedGrid`PackagePrivate`setupViewPath[
         TypeSystem`NestedGrid`PackagePrivate`$path$$, If[
            Not[TypeSystem`NestedGrid`PackagePrivate`initialQ], 
            
            Module[{TypeSystem`NestedGrid`PackagePrivate`tmpGrid$ = $Failed, 
              TypeSystem`NestedGrid`PackagePrivate`tmpData$ = 
              TypeSystem`NestedGrid`PackagePrivate`LookupCacheValue[
                TypeSystem`NestedGrid`PackagePrivate`$state$$["Data"]]}, 
             TypeSystem`NestedGrid`PackagePrivate`tmpGrid$ = 
              If[TypeSystem`NestedGrid`PackagePrivate`tmpData$ === 
                TypeSystem`NestedGrid`PackagePrivate`$NotCached, 
                TypeSystem`NestedGrid`PackagePrivate`renderedGrid, 
                TypeSystem`NestedGrid`PackagePrivate`renderGrid[
                TypeSystem`NestedGrid`PackagePrivate`$state$$, 
                 TypeSystem`NestedGrid`PackagePrivate`$path$$, 
                 TypeSystem`NestedGrid`PackagePrivate`$pos$$, 
                 TypeSystem`NestedGrid`PackagePrivate`$grid$$, 1451539263][
                TypeSystem`NestedGrid`PackagePrivate`tmpData$]]; If[
               Not[
                FailureQ[TypeSystem`NestedGrid`PackagePrivate`tmpGrid$]], 
               TypeSystem`NestedGrid`PackagePrivate`renderedGrid = 
               TypeSystem`NestedGrid`PackagePrivate`tmpGrid$]; Null]]; 
          TypeSystem`NestedGrid`PackagePrivate`initialQ = False; 
          TypeSystem`NestedGrid`PackagePrivate`$pos$$; If[
            FailureQ[TypeSystem`NestedGrid`PackagePrivate`renderedGrid], 
            TypeSystem`SparseGrid[
             TypeSystem`H["(data no longer present)"]], 
            If[GeneralUtilities`$DebugMode, 
             Row[{TypeSystem`NestedGrid`PackagePrivate`renderedGrid, "  ", 
               TypeSystem`NestedGrid`PackagePrivate`formatState[
               TypeSystem`NestedGrid`PackagePrivate`$state$$, 
                TypeSystem`NestedGrid`PackagePrivate`$path$$, 
                TypeSystem`NestedGrid`PackagePrivate`$pos$$]}], 
             TypeSystem`NestedGrid`PackagePrivate`renderedGrid]]], 
         TrackedSymbols :> {TypeSystem`NestedGrid`PackagePrivate`$pos$$}], 
        DynamicModuleValues :> {}], 
      TypeSystem`NestedGrid`PackagePrivate`$posCell$$, 
      TypeSystem`NestedGrid`PackagePrivate`$topBar$$ = Dynamic[
        TypeSystem`NestedGrid`PackagePrivate`alignBar[
        TypeSystem`NestedGrid`PackagePrivate`$state$$][
         TypeSystem`NestedGrid`PackagePrivate`makeFramedBar[
          TypeSystem`PackageScope`Pathbar[
          TypeSystem`NestedGrid`PackagePrivate`$path$$, 
           TypeSystem`NestedGrid`PackagePrivate`updateState[
           TypeSystem`NestedGrid`PackagePrivate`$state$$, 
            TypeSystem`NestedGrid`PackagePrivate`$path$$, 
            TypeSystem`NestedGrid`PackagePrivate`$pos$$, 
            TypeSystem`NestedGrid`PackagePrivate`$grid$$, 1451539263]]]], 
        TrackedSymbols :> {TypeSystem`NestedGrid`PackagePrivate`$path$$}], 
      TypeSystem`NestedGrid`PackagePrivate`$bottomBar$$ = Framed[
        Dynamic[
         Replace[
          MouseAnnotation[Null], {
          TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[1451539263][Null] -> 
           "", TypeSystem`NestedGrid`PackagePrivate`$SliceMarker[1451539263][
             Pattern[TypeSystem`NestedGrid`PackagePrivate`path, 
              Blank[]]] :> (
            TypeSystem`NestedGrid`PackagePrivate`$lastPath = 
             TypeSystem`NestedGrid`PackagePrivate`path; 
            TypeSystem`NestedGrid`PackagePrivate`makePathTrail[
             TypeSystem`NestedGrid`PackagePrivate`path, 
              TypeSystem`NestedGrid`PackagePrivate`makePathElements]), Null :> 
           Spacer[10], Blank[] :> Spacer[10]}], TrackedSymbols :> {}], 
        FrameStyle -> None, ImageMargins -> 0, FrameMargins -> 0, Alignment -> 
        Top, ImageSize -> {Automatic, 14}]}, 
     DynamicBox[
      ToBoxes[
       Column[
        If[TypeSystem`NestedGrid`PackagePrivate`$path$$ == {}, {
          TypeSystem`NestedGrid`PackagePrivate`displayScrollBar[
          TypeSystem`NestedGrid`PackagePrivate`$grid$$, 
           TypeSystem`NestedGrid`PackagePrivate`$state$$, 
           TypeSystem`NestedGrid`PackagePrivate`$pos$$], 
          TypeSystem`NestedGrid`PackagePrivate`onDesktopShow[
           TypeSystem`NestedGrid`PackagePrivate`alignBar[
           TypeSystem`NestedGrid`PackagePrivate`$state$$][
           TypeSystem`NestedGrid`PackagePrivate`$bottomBar$$]]}, {
         TypeSystem`NestedGrid`PackagePrivate`$topBar$$, 
          TypeSystem`NestedGrid`PackagePrivate`displayScrollBar[
          TypeSystem`NestedGrid`PackagePrivate`$grid$$, 
           TypeSystem`NestedGrid`PackagePrivate`$state$$, 
           TypeSystem`NestedGrid`PackagePrivate`$pos$$], 
          TypeSystem`NestedGrid`PackagePrivate`onDesktopShow[
           TypeSystem`NestedGrid`PackagePrivate`alignBar[
           TypeSystem`NestedGrid`PackagePrivate`$state$$][
           TypeSystem`NestedGrid`PackagePrivate`$bottomBar$$]]}], Spacings -> 
        If[TypeSystem`NestedGrid`PackagePrivate`$path$$ == {}, 
          0, {{}, {0, 0.05, 0}}]], StandardForm], 
      ImageSizeCache -> {157., {108.5, 115.5}}, 
      TrackedSymbols :> {
       TypeSystem`NestedGrid`PackagePrivate`$state$$, 
        TypeSystem`NestedGrid`PackagePrivate`$grid$$}], 
     BaseStyle -> {LineBreakWithin -> False}, Deinitialization :> 
     TypeSystem`NestedGrid`PackagePrivate`deleteState[
      TypeSystem`NestedGrid`PackagePrivate`$state$$], 
     DynamicModuleValues :> {}, Initialization :> 
     Block[{$ContextPath = $ContextPath}, 
       Needs["TypeSystem`"]]], Deploy, DefaultBaseStyle -> "Deploy"]},
  "CopyTag",
  DisplayFunction->(#& ),
  InterpretationFunction->("Dataset[<>]"& )]], "Output",
 CellChangeTimes->{3.790500873928317*^9, 3.790680744086668*^9, 
  3.790681304959074*^9},
 CellLabel->
  "Out[118]=",ExpressionUUID->"305f9fe3-8a8d-4a5c-b42b-c23e67a6afbb"]
}, Open  ]],

Cell[BoxData[{
 RowBox[{
  RowBox[{"sample8", "=", 
   RowBox[{"d", "[", 
    RowBox[{"SelectFirst", "[", 
     RowBox[{
      RowBox[{
       RowBox[{"#n", "\[Equal]", "8"}], "&&", 
       RowBox[{"#N", "\[Equal]", "128"}]}], "&"}], "]"}], "]"}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"sample12", "=", 
   RowBox[{
    RowBox[{"d", "[", 
     RowBox[{"Select", "[", 
      RowBox[{
       RowBox[{
        RowBox[{"#n", "\[Equal]", "12"}], "&&", 
        RowBox[{"#N", "\[Equal]", "128"}], "&&", 
        RowBox[{"#\[Beta]1", "\[Equal]", "50"}]}], "&"}], "]"}], "]"}], "[", 
    RowBox[{"[", "2", "]"}], "]"}]}], ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"sample16", "=", 
   RowBox[{"d", "[", 
    RowBox[{"SelectFirst", "[", 
     RowBox[{
      RowBox[{
       RowBox[{"#n", "\[Equal]", "16"}], "&&", 
       RowBox[{"#N", "\[Equal]", "64"}], "&&", 
       RowBox[{"#\[Beta]1", "\[Equal]", "50"}]}], "&"}], "]"}], "]"}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"sample20", "=", 
   RowBox[{"d", "[", 
    RowBox[{"SelectFirst", "[", 
     RowBox[{
      RowBox[{
       RowBox[{"#n", "\[Equal]", "20"}], "&&", 
       RowBox[{"#N", "\[Equal]", "64"}]}], "&"}], "]"}], "]"}]}], 
  ";"}]}], "Input",
 CellChangeTimes->{{3.789831908881502*^9, 3.789831945703508*^9}, {
  3.7898604011843967`*^9, 3.789860408737005*^9}, {3.789864913402884*^9, 
  3.789864920183464*^9}, {3.789865009416779*^9, 3.789865014802567*^9}, {
  3.789892804356556*^9, 3.789892813604467*^9}, {3.789893714396906*^9, 
  3.789893716106145*^9}, {3.7898968668142767`*^9, 3.789896872979452*^9}, {
  3.789932602730394*^9, 3.789932608991914*^9}, {3.7905000270031652`*^9, 
  3.790500027298358*^9}, {3.790500832505785*^9, 3.7905008364464607`*^9}, {
  3.7905008834877453`*^9, 3.790500908670889*^9}, {3.790680745136145*^9, 
  3.790680750622045*^9}},
 CellLabel->
  "In[187]:=",ExpressionUUID->"965aa541-441e-48ee-b9c7-6c04093a0d42"],

Cell[BoxData[{
 RowBox[{
  RowBox[{
   RowBox[{"c8", "[", "x_", "]"}], "=", 
   RowBox[{
    RowBox[{"Cf", "[", "sample8", "]"}], "[", "x", "]"}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{
   RowBox[{"c12", "[", "x_", "]"}], "=", 
   RowBox[{
    RowBox[{"Cf", "[", "sample12", "]"}], "[", "x", "]"}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{
   RowBox[{"c16", "[", "x_", "]"}], "=", 
   RowBox[{
    RowBox[{"Cf", "[", "sample16", "]"}], "[", "x", "]"}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{
   RowBox[{"c20", "[", "x_", "]"}], "=", 
   RowBox[{
    RowBox[{"Cf", "[", "sample20", "]"}], "[", "x", "]"}]}], ";"}]}], "Input",\

 CellChangeTimes->{{3.7860306193210077`*^9, 3.786030620479714*^9}, {
  3.786030896792254*^9, 3.786030897100741*^9}, {3.786380888045945*^9, 
  3.786380925007681*^9}, {3.786381157019925*^9, 3.786381157479299*^9}, {
  3.789745775534863*^9, 3.789745775611329*^9}, {3.7897469477345467`*^9, 
  3.789746974292004*^9}, {3.7897497620872917`*^9, 3.78974976216495*^9}, {
  3.789816756139023*^9, 3.789816807097396*^9}, {3.789819433657423*^9, 
  3.7898194634932632`*^9}, {3.7898319317305803`*^9, 3.789831978527664*^9}, {
  3.7898649246393833`*^9, 3.789864928959545*^9}, {3.789865019225033*^9, 
  3.7898650248002462`*^9}, {3.7898928173005323`*^9, 3.789892817580557*^9}, {
  3.789896880637479*^9, 3.789896886211711*^9}, {3.789932613953886*^9, 
  3.78993261910413*^9}},
 CellLabel->
  "In[264]:=",ExpressionUUID->"0885a315-6bfe-4916-87e6-8a66c95472da"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"Plot", "[", 
  RowBox[{
   RowBox[{"{", 
    RowBox[{
     RowBox[{"x", " ", 
      RowBox[{"c8", "[", "x", "]"}]}], ",", 
     RowBox[{"x", " ", 
      RowBox[{"c12", "[", "x", "]"}]}], ",", 
     RowBox[{"x", " ", 
      RowBox[{"c16", "[", "x", "]"}]}]}], "}"}], ",", 
   RowBox[{"{", 
    RowBox[{"x", ",", "0.0001", ",", "10"}], "}"}], ",", 
   RowBox[{"AxesLabel", "\[Rule]", 
    RowBox[{"{", 
     RowBox[{"\[Beta]", ",", "\"\<c(\[Beta])\>\""}], "}"}]}], ",", 
   RowBox[{"PlotRange", "\[Rule]", "All"}], ",", 
   RowBox[{"PlotLegends", "\[Rule]", 
    RowBox[{"{", 
     RowBox[{
      RowBox[{"n", "\[Equal]", "8"}], ",", 
      RowBox[{"n", "\[Equal]", "12"}], ",", 
      RowBox[{"n", "\[Equal]", "16"}]}], "}"}]}]}], "]"}]], "Input",
 CellChangeTimes->CompressedData["
1:eJxTTMoPSmViYGCQAGIQveXA9HOxNm8cBbfxXwXRSRekHoDog4/DXoDoE1pT
3oDoV4wb34PofheJryC6K6YUTC8s6ZGJA9LbCvrAtNi/5DAQvSqnNw5EL5Kt
qGsA0gJh4Z0ges7/W+cagXTJx5MXQXRDcvmLdiDddqvlFYh+dHL/LxCtbPfg
D4j+XLJBqgNIJ65YpgCiz0Zc1wDROh5huiDaIOj3ialA2s31H5hm0qz5Mx1I
M//K+guib6wr5JgBpPc0rwLT+xM3z1oKsr93F5jWO1yyEkR/Llq5FkSzzXc8
DqLX6KicANE80frTlwNp7n99YFpUs2oOiD4WVAOmUxw3cO4E0jMthblA9LMN
/4VA9CvOkyIguo7zeMh52zeOQf7MYSC6oIU1CkTzKJ4H0wBokcHO
  "],
 CellLabel->
  "In[269]:=",ExpressionUUID->"b9af9737-77db-4699-8144-d484234a5c9a"],

Cell[BoxData[
 TemplateBox[{GraphicsBox[{{{{}, {}, 
       TagBox[{
         Directive[
          Opacity[1.], 
          RGBColor[0.368417, 0.506779, 0.709798], 
          AbsoluteThickness[1.6]], 
         LineBox[CompressedData["
1:eJwV13k4VO8XAHApS5aMuWRnxqikJH1bKDlHaZE1qST7TrYkpI02IVtClCUp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          "]]}, 
        Annotation[#, "Charting`Private`Tag$67707#1"]& ], 
       TagBox[{
         Directive[
          Opacity[1.], 
          RGBColor[0.880722, 0.611041, 0.142051], 
          AbsoluteThickness[1.6]], 
         LineBox[CompressedData["
1:eJwVl3c8198Xx41SiYzP8LHHR/FVZgmFc0SDNLRQQlaSUVGiZZSQFIUSQior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          "]]}, 
        Annotation[#, "Charting`Private`Tag$67707#2"]& ], 
       TagBox[{
         Directive[
          Opacity[1.], 
          RGBColor[0.560181, 0.691569, 0.194885], 
          AbsoluteThickness[1.6]], 
         LineBox[CompressedData["
1:eJwVl3k4lG0XwKUkomRmzJgZM7ZKKrSK5JwKRUoIkVDWCiWlTfayJKWFiKKk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          "]]}, 
        Annotation[#, "Charting`Private`Tag$67707#3"]& ]}}, {}}, {
    DisplayFunction -> Identity, Ticks -> {Automatic, Automatic}, 
     AxesOrigin -> {Automatic, Automatic}, FrameTicks -> {{Automatic, 
        Charting`ScaledFrameTicks[{Identity, Identity}]}, {Automatic, 
        Charting`ScaledFrameTicks[{Identity, Identity}]}}, 
     GridLines -> {None, None}, DisplayFunction -> Identity, 
     PlotRangePadding -> {{
        Scaled[0.02], 
        Scaled[0.02]}, {
        Scaled[0.05], 
        Scaled[0.05]}}, PlotRangeClipping -> True, ImagePadding -> All, 
     DisplayFunction -> Identity, AspectRatio -> 
     NCache[GoldenRatio^(-1), 0.6180339887498948], Axes -> {True, True}, 
     AxesLabel -> {
       FormBox["\[Beta]", TraditionalForm], 
       FormBox["\"c(\[Beta])\"", TraditionalForm]}, 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]], 
     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 -> {All, All}, PlotRangeClipping -> 
     True, PlotRangePadding -> {{Automatic, Automatic}, {
       Automatic, Automatic}}, Ticks -> {Automatic, Automatic}}],FormBox[
    FormBox[
     TemplateBox[{
       RowBox[{"n", "\[LongEqual]", "8"}], 
       RowBox[{"n", "\[LongEqual]", "12"}], 
       RowBox[{"n", "\[LongEqual]", "16"}]}, "LineLegend", 
      DisplayFunction -> (FormBox[
        StyleBox[
         StyleBox[
          PaneBox[
           TagBox[
            GridBox[{{
               TagBox[
                GridBox[{{
                   GraphicsBox[{{
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[0.5], 
                    Opacity[1.], 
                    RGBColor[0.368417, 0.506779, 0.709798], 
                    AbsoluteThickness[1.6]], {
                    LineBox[{{0, 10}, {20, 10}}]}}, {
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[0.5], 
                    Opacity[1.], 
                    RGBColor[0.368417, 0.506779, 0.709798], 
                    AbsoluteThickness[1.6]], {}}}, AspectRatio -> Full, 
                    ImageSize -> {20, 10}, PlotRangePadding -> None, 
                    ImagePadding -> Automatic, 
                    BaselinePosition -> (Scaled[0.1] -> Baseline)], #}, {
                   GraphicsBox[{{
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[0.5], 
                    Opacity[1.], 
                    RGBColor[0.880722, 0.611041, 0.142051], 
                    AbsoluteThickness[1.6]], {
                    LineBox[{{0, 10}, {20, 10}}]}}, {
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[0.5], 
                    Opacity[1.], 
                    RGBColor[0.880722, 0.611041, 0.142051], 
                    AbsoluteThickness[1.6]], {}}}, AspectRatio -> Full, 
                    ImageSize -> {20, 10}, PlotRangePadding -> None, 
                    ImagePadding -> Automatic, 
                    BaselinePosition -> (Scaled[0.1] -> Baseline)], #2}, {
                   GraphicsBox[{{
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[0.5], 
                    Opacity[1.], 
                    RGBColor[0.560181, 0.691569, 0.194885], 
                    AbsoluteThickness[1.6]], {
                    LineBox[{{0, 10}, {20, 10}}]}}, {
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[0.5], 
                    Opacity[1.], 
                    RGBColor[0.560181, 0.691569, 0.194885], 
                    AbsoluteThickness[1.6]], {}}}, AspectRatio -> Full, 
                    ImageSize -> {20, 10}, PlotRangePadding -> None, 
                    ImagePadding -> Automatic, 
                    BaselinePosition -> (Scaled[0.1] -> Baseline)], #3}}, 
                 GridBoxAlignment -> {
                  "Columns" -> {Center, Left}, "Rows" -> {{Baseline}}}, 
                 AutoDelete -> False, 
                 GridBoxDividers -> {
                  "Columns" -> {{False}}, "Rows" -> {{False}}}, 
                 GridBoxItemSize -> {"Columns" -> {{All}}, "Rows" -> {{All}}},
                  GridBoxSpacings -> {
                  "Columns" -> {{0.5}}, "Rows" -> {{0.8}}}], "Grid"]}}, 
             GridBoxAlignment -> {"Columns" -> {{Left}}, "Rows" -> {{Top}}}, 
             AutoDelete -> False, 
             GridBoxItemSize -> {
              "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, 
             GridBoxSpacings -> {"Columns" -> {{1}}, "Rows" -> {{0}}}], 
            "Grid"], Alignment -> Left, AppearanceElements -> None, 
           ImageMargins -> {{5, 5}, {5, 5}}, ImageSizeAction -> 
           "ResizeToFit"], LineIndent -> 0, StripOnInput -> False], {
         FontFamily -> "Arial"}, Background -> Automatic, StripOnInput -> 
         False], TraditionalForm]& ), 
      InterpretationFunction :> (RowBox[{"LineLegend", "[", 
         RowBox[{
           RowBox[{"{", 
             RowBox[{
               RowBox[{"Directive", "[", 
                 RowBox[{
                   RowBox[{"Opacity", "[", "1.`", "]"}], ",", 
                   InterpretationBox[
                    ButtonBox[
                    TooltipBox[
                    GraphicsBox[{{
                    GrayLevel[0], 
                    RectangleBox[{0, 0}]}, {
                    GrayLevel[0], 
                    RectangleBox[{1, -1}]}, {
                    RGBColor[0.368417, 0.506779, 0.709798], 
                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
                    FrameStyle -> 
                    RGBColor[
                    0.24561133333333335`, 0.3378526666666667, 
                    0.4731986666666667], FrameTicks -> None, PlotRangePadding -> 
                    None, ImageSize -> 
                    Dynamic[{
                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
                    AbsoluteCurrentValue[Magnification]}]], 
                    StyleBox[
                    RowBox[{"RGBColor", "[", 
                    RowBox[{"0.368417`", ",", "0.506779`", ",", "0.709798`"}],
                     "]"}], NumberMarks -> False]], Appearance -> None, 
                    BaseStyle -> {}, BaselinePosition -> Baseline, 
                    DefaultBaseStyle -> {}, ButtonFunction :> 
                    With[{Typeset`box$ = EvaluationBox[]}, 
                    If[
                    Not[
                    AbsoluteCurrentValue["Deployed"]], 
                    SelectionMove[Typeset`box$, All, Expression]; 
                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
                    FrontEnd`Private`$ColorSelectorInitialColor = 
                    RGBColor[0.368417, 0.506779, 0.709798]; 
                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
                    MathLink`CallFrontEnd[
                    FrontEnd`AttachCell[Typeset`box$, 
                    FrontEndResource["RGBColorValueSelector"], {
                    0, {Left, Bottom}}, {Left, Top}, 
                    "ClosingActions" -> {
                    "SelectionDeparture", "ParentChanged", 
                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
                    Automatic, Method -> "Preemptive"], 
                    RGBColor[0.368417, 0.506779, 0.709798], Editable -> False,
                     Selectable -> False], ",", 
                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}], 
               ",", 
               RowBox[{"Directive", "[", 
                 RowBox[{
                   RowBox[{"Opacity", "[", "1.`", "]"}], ",", 
                   InterpretationBox[
                    ButtonBox[
                    TooltipBox[
                    GraphicsBox[{{
                    GrayLevel[0], 
                    RectangleBox[{0, 0}]}, {
                    GrayLevel[0], 
                    RectangleBox[{1, -1}]}, {
                    RGBColor[0.880722, 0.611041, 0.142051], 
                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
                    FrameStyle -> 
                    RGBColor[
                    0.587148, 0.40736066666666665`, 0.09470066666666668], 
                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
                    Dynamic[{
                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
                    AbsoluteCurrentValue[Magnification]}]], 
                    StyleBox[
                    RowBox[{"RGBColor", "[", 
                    RowBox[{"0.880722`", ",", "0.611041`", ",", "0.142051`"}],
                     "]"}], NumberMarks -> False]], Appearance -> None, 
                    BaseStyle -> {}, BaselinePosition -> Baseline, 
                    DefaultBaseStyle -> {}, ButtonFunction :> 
                    With[{Typeset`box$ = EvaluationBox[]}, 
                    If[
                    Not[
                    AbsoluteCurrentValue["Deployed"]], 
                    SelectionMove[Typeset`box$, All, Expression]; 
                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
                    FrontEnd`Private`$ColorSelectorInitialColor = 
                    RGBColor[0.880722, 0.611041, 0.142051]; 
                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
                    MathLink`CallFrontEnd[
                    FrontEnd`AttachCell[Typeset`box$, 
                    FrontEndResource["RGBColorValueSelector"], {
                    0, {Left, Bottom}}, {Left, Top}, 
                    "ClosingActions" -> {
                    "SelectionDeparture", "ParentChanged", 
                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
                    Automatic, Method -> "Preemptive"], 
                    RGBColor[0.880722, 0.611041, 0.142051], Editable -> False,
                     Selectable -> False], ",", 
                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}], 
               ",", 
               RowBox[{"Directive", "[", 
                 RowBox[{
                   RowBox[{"Opacity", "[", "1.`", "]"}], ",", 
                   InterpretationBox[
                    ButtonBox[
                    TooltipBox[
                    GraphicsBox[{{
                    GrayLevel[0], 
                    RectangleBox[{0, 0}]}, {
                    GrayLevel[0], 
                    RectangleBox[{1, -1}]}, {
                    RGBColor[0.560181, 0.691569, 0.194885], 
                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
                    FrameStyle -> 
                    RGBColor[
                    0.37345400000000006`, 0.461046, 0.12992333333333334`], 
                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
                    Dynamic[{
                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
                    AbsoluteCurrentValue[Magnification]}]], 
                    StyleBox[
                    RowBox[{"RGBColor", "[", 
                    RowBox[{"0.560181`", ",", "0.691569`", ",", "0.194885`"}],
                     "]"}], NumberMarks -> False]], Appearance -> None, 
                    BaseStyle -> {}, BaselinePosition -> Baseline, 
                    DefaultBaseStyle -> {}, ButtonFunction :> 
                    With[{Typeset`box$ = EvaluationBox[]}, 
                    If[
                    Not[
                    AbsoluteCurrentValue["Deployed"]], 
                    SelectionMove[Typeset`box$, All, Expression]; 
                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
                    FrontEnd`Private`$ColorSelectorInitialColor = 
                    RGBColor[0.560181, 0.691569, 0.194885]; 
                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
                    MathLink`CallFrontEnd[
                    FrontEnd`AttachCell[Typeset`box$, 
                    FrontEndResource["RGBColorValueSelector"], {
                    0, {Left, Bottom}}, {Left, Top}, 
                    "ClosingActions" -> {
                    "SelectionDeparture", "ParentChanged", 
                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
                    Automatic, Method -> "Preemptive"], 
                    RGBColor[0.560181, 0.691569, 0.194885], Editable -> False,
                     Selectable -> False], ",", 
                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}]}],
              "}"}], ",", 
           RowBox[{"{", 
             RowBox[{#, ",", #2, ",", #3}], "}"}], ",", 
           RowBox[{"LegendMarkers", "\[Rule]", "None"}], ",", 
           RowBox[{"LabelStyle", "\[Rule]", 
             RowBox[{"{", "}"}]}], ",", 
           RowBox[{"LegendLayout", "\[Rule]", "\"Column\""}]}], "]"}]& ), 
      Editable -> True], TraditionalForm], TraditionalForm]},
  "Legended",
  DisplayFunction->(GridBox[{{
      TagBox[
       ItemBox[
        PaneBox[
         TagBox[#, "SkipImageSizeLevel"], Alignment -> {Center, Baseline}, 
         BaselinePosition -> Baseline], DefaultBaseStyle -> "Labeled"], 
       "SkipImageSizeLevel"], 
      ItemBox[#2, DefaultBaseStyle -> "LabeledLabel"]}}, 
    GridBoxAlignment -> {"Columns" -> {{Center}}, "Rows" -> {{Center}}}, 
    AutoDelete -> False, GridBoxItemSize -> Automatic, 
    BaselinePosition -> {1, 1}]& ),
  Editable->True,
  InterpretationFunction->(RowBox[{"Legended", "[", 
     RowBox[{#, ",", 
       RowBox[{"Placed", "[", 
         RowBox[{#2, ",", "After"}], "]"}]}], "]"}]& )]], "Output",
 CellChangeTimes->{{3.789892956413993*^9, 3.7898929737838*^9}, {
   3.7898931796488657`*^9, 3.789893185478931*^9}, 3.789893717676383*^9, 
   3.789896892805759*^9, 3.789896932602099*^9, {3.7899326251012287`*^9, 
   3.78993264237978*^9}, {3.789932679168812*^9, 3.7899327107492943`*^9}, 
   3.7905000315139427`*^9, 3.790500838648793*^9, 3.790500910351964*^9, {
   3.790502567475996*^9, 3.790502576644142*^9}, 3.7905026149063463`*^9, 
   3.790680757682643*^9, {3.790681246578779*^9, 3.790681261868206*^9}, 
   3.790681309259865*^9, 3.790681406243614*^9, 3.790685469194167*^9, 
   3.790685547079666*^9, 3.790685601758918*^9, 3.790685715830799*^9, {
   3.790686478036804*^9, 3.790686534979245*^9}},
 CellLabel->
  "Out[269]=",ExpressionUUID->"e1f95041-b6aa-4781-9b15-f8e2c4b7aff3"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"Show", "[", 
  RowBox[{"LogLogPlot", "[", 
   RowBox[{
    RowBox[{"{", 
     RowBox[{
      RowBox[{
       RowBox[{"(", 
        RowBox[{"1", "-", 
         RowBox[{"3", "/", "\[Pi]"}]}], ")"}], "x"}], ",", 
      RowBox[{"c8", "[", "x", "]"}], ",", 
      RowBox[{"c12", "[", "x", "]"}], ",", 
      RowBox[{"c16", "[", "x", "]"}]}], "}"}], ",", 
    RowBox[{"{", 
     RowBox[{"x", ",", "0.00001", ",", "25"}], "}"}], ",", 
    RowBox[{"AxesLabel", "\[Rule]", 
     RowBox[{"{", 
      RowBox[{"\[Beta]", ",", "\"\<c(\[Beta]) / \[Beta]\>\""}], "}"}]}], ",", 
    
    RowBox[{"PlotLegends", "\[Rule]", 
     RowBox[{"{", 
      RowBox[{
      "\"\<High-\!\(\*StyleBox[\"T\",FontSlant->\"Italic\"]\) expansion\>\"", 
       ",", 
       RowBox[{"n", "\[Equal]", "8"}], ",", 
       RowBox[{"n", "\[Equal]", "12"}], ",", 
       RowBox[{"n", "\[Equal]", "16"}]}], "}"}]}], ",", 
    RowBox[{"PlotStyle", "\[Rule]", 
     RowBox[{"Prepend", "[", 
      RowBox[{
       RowBox[{
        RowBox[{"ColorData", "[", "97", "]"}], "/@", 
        RowBox[{"Range", "[", "3", "]"}]}], ",", "Black"}], "]"}]}]}], "]"}], 
  "]"}]], "Input",
 CellChangeTimes->{{3.7897457807422733`*^9, 3.789745832490975*^9}, {
   3.7897459208379374`*^9, 3.789745986715302*^9}, {3.7897460206302223`*^9, 
   3.7897460455314837`*^9}, {3.789746088758369*^9, 3.7897460916675463`*^9}, {
   3.789746404389237*^9, 3.7897464044512587`*^9}, {3.7897468671247663`*^9, 
   3.7897469324195147`*^9}, {3.7898168197536173`*^9, 
   3.7898169067292557`*^9}, {3.7898195108437023`*^9, 
   3.7898195343107243`*^9}, {3.789832003730896*^9, 3.789832020151675*^9}, {
   3.789832149993394*^9, 3.789832167007585*^9}, {3.789832405514276*^9, 
   3.789832453208054*^9}, {3.78983251872959*^9, 3.78983255469631*^9}, {
   3.7898604238537827`*^9, 3.789860423945956*^9}, {3.789864931880006*^9, 
   3.789864939343019*^9}, {3.789865027552593*^9, 3.789865029328581*^9}, {
   3.789892821605682*^9, 3.789892821829767*^9}, {3.789893469770935*^9, 
   3.789893523416409*^9}, {3.789896909604662*^9, 3.7898969280516768`*^9}, {
   3.78993271416635*^9, 3.7899327158509693`*^9}, {3.790501039529852*^9, 
   3.790501039713043*^9}, {3.790501336673828*^9, 3.7905013914221354`*^9}, 
   3.790687109212183*^9},
 CellLabel->
  "In[303]:=",ExpressionUUID->"d80acc58-e355-49f5-8e82-b7a019a31499"],

Cell[BoxData[
 TemplateBox[{GraphicsBox[{{{{}, {}, 
       TagBox[{
         Directive[
          Opacity[1.], 
          AbsoluteThickness[1.6], 
          GrayLevel[0]], 
         LineBox[CompressedData["
1:eJwVxX8403kcAHATtm9+xCRrzY8xm5ZJCLXp+4lDPI8c1/VUK5wTS+L0zI8O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          "]]}, Annotation[#, "Charting`Private`Tag$77931#1"]& ], 
       TagBox[{
         Directive[
          Opacity[1.], 
          AbsoluteThickness[1.6], 
          RGBColor[0.368417, 0.506779, 0.709798]], 
         LineBox[CompressedData["
1:eJwVlWk41PsbxvmNMTOWYcaayr6FKZTRQX1/kb2cLElKJWJoUQ5JaFMok6OQ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          "]]}, 
        Annotation[#, "Charting`Private`Tag$77931#2"]& ], 
       TagBox[{
         Directive[
          Opacity[1.], 
          AbsoluteThickness[1.6], 
          RGBColor[0.880722, 0.611041, 0.142051]], 
         LineBox[CompressedData["
1:eJwVlmk8lP0Xxmcsc8+MsY01RXaylDZk+92RqCQSiaJCIk9SaENlyVqRsqVE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          "]]}, 
        Annotation[#, "Charting`Private`Tag$77931#3"]& ], 
       TagBox[{
         Directive[
          Opacity[1.], 
          AbsoluteThickness[1.6], 
          RGBColor[0.560181, 0.691569, 0.194885]], 
         LineBox[CompressedData["
1:eJwVl3k4lF8bx8f6zDDRjDVJ9i2KZElynmghRbSJSpYKKRFaEEXIUqRCO1FJ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          "]]}, 
        Annotation[#, "Charting`Private`Tag$77931#4"]& ]}}, {}}, {
    DisplayFunction -> Identity, 
     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}, DisplayFunction -> Identity, DisplayFunction -> Identity, 
     Ticks -> {Quiet[
        Charting`ScaledTicks[{Log, Exp}][#, #2, {6, 6}]]& , Quiet[
        Charting`ScaledTicks[{Log, Exp}][#, #2, {6, 6}]]& }, 
     AxesOrigin -> {-11.512925464970229`, -14.619668330378314`}, 
     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}, 
     DisplayFunction -> Identity, PlotRangePadding -> {{
        Scaled[0.02], 
        Scaled[0.02]}, {
        Scaled[0.05], 
        Scaled[0.05]}}, PlotRangeClipping -> True, ImagePadding -> All, 
     DisplayFunction -> Identity, 
     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,
        "ClippingRange" -> {{{-11.512925164321222`, 
        3.2188755242191944`}, {-14.619668330378314`, 
        0.11934465787337491`}}, {{-11.512925164321222`, 
        3.2188755242191944`}, {-14.619668330378314`, 0.11934465787337491`}}}},
      DisplayFunction -> Identity, AspectRatio -> 
     NCache[GoldenRatio^(-1), 0.6180339887498948], Axes -> {True, True}, 
     AxesLabel -> {
       FormBox["\[Beta]", TraditionalForm], 
       FormBox["\"c(\[Beta]) / \[Beta]\"", TraditionalForm]}, 
     AxesOrigin -> {0, 0}, 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 -> {{Automatic, Automatic}, {Automatic, Automatic}}, 
     GridLines -> {None, None}, GridLinesStyle -> Directive[
       GrayLevel[0.5, 0.4]], 
     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[{{-11.512925464970229`, 
         Log[25]}, {-14.619668330378314`, 
        0.11934465787337491`}}, {{-11.512925464970229`, 
       3.2188758248682006`}, {-14.619668330378314`, 0.11934465787337491`}}], 
     PlotRangeClipping -> True, PlotRangePadding -> {{
        Scaled[0.02], 
        Scaled[0.02]}, {
        Scaled[0.02], 
        Scaled[0.02]}}, Ticks -> {Automatic, Automatic}}],FormBox[
    FormBox[
     TemplateBox[{
      "\"High-\\!\\(\\*StyleBox[\\\"T\\\",FontSlant->\\\"Italic\\\"]\\) \
expansion\"", 
       RowBox[{"n", "\[LongEqual]", "8"}], 
       RowBox[{"n", "\[LongEqual]", "12"}], 
       RowBox[{"n", "\[LongEqual]", "16"}]}, "LineLegend", 
      DisplayFunction -> (FormBox[
        StyleBox[
         StyleBox[
          PaneBox[
           TagBox[
            GridBox[{{
               TagBox[
                GridBox[{{
                   GraphicsBox[{{
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[0.5], 
                    Opacity[1.], 
                    AbsoluteThickness[1.6], 
                    GrayLevel[0]], {
                    LineBox[{{0, 10}, {20, 10}}]}}, {
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[0.5], 
                    Opacity[1.], 
                    AbsoluteThickness[1.6], 
                    GrayLevel[0]], {}}}, AspectRatio -> Full, 
                    ImageSize -> {20, 10}, PlotRangePadding -> None, 
                    ImagePadding -> Automatic, 
                    BaselinePosition -> (Scaled[0.1] -> Baseline)], #}, {
                   GraphicsBox[{{
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[0.5], 
                    Opacity[1.], 
                    AbsoluteThickness[1.6], 
                    RGBColor[0.368417, 0.506779, 0.709798]], {
                    LineBox[{{0, 10}, {20, 10}}]}}, {
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[0.5], 
                    Opacity[1.], 
                    AbsoluteThickness[1.6], 
                    RGBColor[0.368417, 0.506779, 0.709798]], {}}}, 
                    AspectRatio -> Full, ImageSize -> {20, 10}, 
                    PlotRangePadding -> None, ImagePadding -> Automatic, 
                    BaselinePosition -> (Scaled[0.1] -> Baseline)], #2}, {
                   GraphicsBox[{{
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[0.5], 
                    Opacity[1.], 
                    AbsoluteThickness[1.6], 
                    RGBColor[0.880722, 0.611041, 0.142051]], {
                    LineBox[{{0, 10}, {20, 10}}]}}, {
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[0.5], 
                    Opacity[1.], 
                    AbsoluteThickness[1.6], 
                    RGBColor[0.880722, 0.611041, 0.142051]], {}}}, 
                    AspectRatio -> Full, ImageSize -> {20, 10}, 
                    PlotRangePadding -> None, ImagePadding -> Automatic, 
                    BaselinePosition -> (Scaled[0.1] -> Baseline)], #3}, {
                   GraphicsBox[{{
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[0.5], 
                    Opacity[1.], 
                    AbsoluteThickness[1.6], 
                    RGBColor[0.560181, 0.691569, 0.194885]], {
                    LineBox[{{0, 10}, {20, 10}}]}}, {
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[0.5], 
                    Opacity[1.], 
                    AbsoluteThickness[1.6], 
                    RGBColor[0.560181, 0.691569, 0.194885]], {}}}, 
                    AspectRatio -> Full, ImageSize -> {20, 10}, 
                    PlotRangePadding -> None, ImagePadding -> Automatic, 
                    BaselinePosition -> (Scaled[0.1] -> Baseline)], #4}}, 
                 GridBoxAlignment -> {
                  "Columns" -> {Center, Left}, "Rows" -> {{Baseline}}}, 
                 AutoDelete -> False, 
                 GridBoxDividers -> {
                  "Columns" -> {{False}}, "Rows" -> {{False}}}, 
                 GridBoxItemSize -> {"Columns" -> {{All}}, "Rows" -> {{All}}},
                  GridBoxSpacings -> {
                  "Columns" -> {{0.5}}, "Rows" -> {{0.8}}}], "Grid"]}}, 
             GridBoxAlignment -> {"Columns" -> {{Left}}, "Rows" -> {{Top}}}, 
             AutoDelete -> False, 
             GridBoxItemSize -> {
              "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, 
             GridBoxSpacings -> {"Columns" -> {{1}}, "Rows" -> {{0}}}], 
            "Grid"], Alignment -> Left, AppearanceElements -> None, 
           ImageMargins -> {{5, 5}, {5, 5}}, ImageSizeAction -> 
           "ResizeToFit"], LineIndent -> 0, StripOnInput -> False], {
         FontFamily -> "Arial"}, Background -> Automatic, StripOnInput -> 
         False], TraditionalForm]& ), 
      InterpretationFunction :> (RowBox[{"LineLegend", "[", 
         RowBox[{
           RowBox[{"{", 
             RowBox[{
               RowBox[{"Directive", "[", 
                 RowBox[{
                   RowBox[{"Opacity", "[", "1.`", "]"}], ",", 
                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
                   InterpretationBox[
                    ButtonBox[
                    TooltipBox[
                    GraphicsBox[{{
                    GrayLevel[0], 
                    RectangleBox[{0, 0}]}, {
                    GrayLevel[0], 
                    RectangleBox[{1, -1}]}, {
                    GrayLevel[0], 
                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
                    FrameStyle -> GrayLevel[0.], FrameTicks -> None, 
                    PlotRangePadding -> None, ImageSize -> 
                    Dynamic[{
                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
                    AbsoluteCurrentValue[Magnification]}]], 
                    StyleBox[
                    RowBox[{"GrayLevel", "[", "0", "]"}], NumberMarks -> 
                    False]], Appearance -> None, BaseStyle -> {}, 
                    BaselinePosition -> Baseline, DefaultBaseStyle -> {}, 
                    ButtonFunction :> With[{Typeset`box$ = EvaluationBox[]}, 
                    If[
                    Not[
                    AbsoluteCurrentValue["Deployed"]], 
                    SelectionMove[Typeset`box$, All, Expression]; 
                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
                    FrontEnd`Private`$ColorSelectorInitialColor = 
                    GrayLevel[0]; 
                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
                    MathLink`CallFrontEnd[
                    FrontEnd`AttachCell[Typeset`box$, 
                    FrontEndResource["GrayLevelColorValueSelector"], {
                    0, {Left, Bottom}}, {Left, Top}, 
                    "ClosingActions" -> {
                    "SelectionDeparture", "ParentChanged", 
                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
                    Automatic, Method -> "Preemptive"], 
                    GrayLevel[0], Editable -> False, Selectable -> False]}], 
                 "]"}], ",", 
               RowBox[{"Directive", "[", 
                 RowBox[{
                   RowBox[{"Opacity", "[", "1.`", "]"}], ",", 
                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
                   InterpretationBox[
                    ButtonBox[
                    TooltipBox[
                    GraphicsBox[{{
                    GrayLevel[0], 
                    RectangleBox[{0, 0}]}, {
                    GrayLevel[0], 
                    RectangleBox[{1, -1}]}, {
                    RGBColor[0.368417, 0.506779, 0.709798], 
                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
                    FrameStyle -> 
                    RGBColor[
                    0.24561133333333335`, 0.3378526666666667, 
                    0.4731986666666667], FrameTicks -> None, PlotRangePadding -> 
                    None, ImageSize -> 
                    Dynamic[{
                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
                    AbsoluteCurrentValue[Magnification]}]], 
                    StyleBox[
                    RowBox[{"RGBColor", "[", 
                    RowBox[{"0.368417`", ",", "0.506779`", ",", "0.709798`"}],
                     "]"}], NumberMarks -> False]], Appearance -> None, 
                    BaseStyle -> {}, BaselinePosition -> Baseline, 
                    DefaultBaseStyle -> {}, ButtonFunction :> 
                    With[{Typeset`box$ = EvaluationBox[]}, 
                    If[
                    Not[
                    AbsoluteCurrentValue["Deployed"]], 
                    SelectionMove[Typeset`box$, All, Expression]; 
                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
                    FrontEnd`Private`$ColorSelectorInitialColor = 
                    RGBColor[0.368417, 0.506779, 0.709798]; 
                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
                    MathLink`CallFrontEnd[
                    FrontEnd`AttachCell[Typeset`box$, 
                    FrontEndResource["RGBColorValueSelector"], {
                    0, {Left, Bottom}}, {Left, Top}, 
                    "ClosingActions" -> {
                    "SelectionDeparture", "ParentChanged", 
                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
                    Automatic, Method -> "Preemptive"], 
                    RGBColor[0.368417, 0.506779, 0.709798], Editable -> False,
                     Selectable -> False]}], "]"}], ",", 
               RowBox[{"Directive", "[", 
                 RowBox[{
                   RowBox[{"Opacity", "[", "1.`", "]"}], ",", 
                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
                   InterpretationBox[
                    ButtonBox[
                    TooltipBox[
                    GraphicsBox[{{
                    GrayLevel[0], 
                    RectangleBox[{0, 0}]}, {
                    GrayLevel[0], 
                    RectangleBox[{1, -1}]}, {
                    RGBColor[0.880722, 0.611041, 0.142051], 
                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
                    FrameStyle -> 
                    RGBColor[
                    0.587148, 0.40736066666666665`, 0.09470066666666668], 
                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
                    Dynamic[{
                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
                    AbsoluteCurrentValue[Magnification]}]], 
                    StyleBox[
                    RowBox[{"RGBColor", "[", 
                    RowBox[{"0.880722`", ",", "0.611041`", ",", "0.142051`"}],
                     "]"}], NumberMarks -> False]], Appearance -> None, 
                    BaseStyle -> {}, BaselinePosition -> Baseline, 
                    DefaultBaseStyle -> {}, ButtonFunction :> 
                    With[{Typeset`box$ = EvaluationBox[]}, 
                    If[
                    Not[
                    AbsoluteCurrentValue["Deployed"]], 
                    SelectionMove[Typeset`box$, All, Expression]; 
                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
                    FrontEnd`Private`$ColorSelectorInitialColor = 
                    RGBColor[0.880722, 0.611041, 0.142051]; 
                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
                    MathLink`CallFrontEnd[
                    FrontEnd`AttachCell[Typeset`box$, 
                    FrontEndResource["RGBColorValueSelector"], {
                    0, {Left, Bottom}}, {Left, Top}, 
                    "ClosingActions" -> {
                    "SelectionDeparture", "ParentChanged", 
                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
                    Automatic, Method -> "Preemptive"], 
                    RGBColor[0.880722, 0.611041, 0.142051], Editable -> False,
                     Selectable -> False]}], "]"}], ",", 
               RowBox[{"Directive", "[", 
                 RowBox[{
                   RowBox[{"Opacity", "[", "1.`", "]"}], ",", 
                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
                   InterpretationBox[
                    ButtonBox[
                    TooltipBox[
                    GraphicsBox[{{
                    GrayLevel[0], 
                    RectangleBox[{0, 0}]}, {
                    GrayLevel[0], 
                    RectangleBox[{1, -1}]}, {
                    RGBColor[0.560181, 0.691569, 0.194885], 
                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
                    FrameStyle -> 
                    RGBColor[
                    0.37345400000000006`, 0.461046, 0.12992333333333334`], 
                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
                    Dynamic[{
                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
                    AbsoluteCurrentValue[Magnification]}]], 
                    StyleBox[
                    RowBox[{"RGBColor", "[", 
                    RowBox[{"0.560181`", ",", "0.691569`", ",", "0.194885`"}],
                     "]"}], NumberMarks -> False]], Appearance -> None, 
                    BaseStyle -> {}, BaselinePosition -> Baseline, 
                    DefaultBaseStyle -> {}, ButtonFunction :> 
                    With[{Typeset`box$ = EvaluationBox[]}, 
                    If[
                    Not[
                    AbsoluteCurrentValue["Deployed"]], 
                    SelectionMove[Typeset`box$, All, Expression]; 
                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
                    FrontEnd`Private`$ColorSelectorInitialColor = 
                    RGBColor[0.560181, 0.691569, 0.194885]; 
                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
                    MathLink`CallFrontEnd[
                    FrontEnd`AttachCell[Typeset`box$, 
                    FrontEndResource["RGBColorValueSelector"], {
                    0, {Left, Bottom}}, {Left, Top}, 
                    "ClosingActions" -> {
                    "SelectionDeparture", "ParentChanged", 
                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
                    Automatic, Method -> "Preemptive"], 
                    RGBColor[0.560181, 0.691569, 0.194885], Editable -> False,
                     Selectable -> False]}], "]"}]}], "}"}], ",", 
           RowBox[{"{", 
             RowBox[{#, ",", #2, ",", #3, ",", #4}], "}"}], ",", 
           RowBox[{"LegendMarkers", "\[Rule]", "None"}], ",", 
           RowBox[{"LabelStyle", "\[Rule]", 
             RowBox[{"{", "}"}]}], ",", 
           RowBox[{"LegendLayout", "\[Rule]", "\"Column\""}]}], "]"}]& ), 
      Editable -> True], TraditionalForm], TraditionalForm]},
  "Legended",
  DisplayFunction->(GridBox[{{
      TagBox[
       ItemBox[
        PaneBox[
         TagBox[#, "SkipImageSizeLevel"], Alignment -> {Center, Baseline}, 
         BaselinePosition -> Baseline], DefaultBaseStyle -> "Labeled"], 
       "SkipImageSizeLevel"], 
      ItemBox[#2, DefaultBaseStyle -> "LabeledLabel"]}}, 
    GridBoxAlignment -> {"Columns" -> {{Center}}, "Rows" -> {{Center}}}, 
    AutoDelete -> False, GridBoxItemSize -> Automatic, 
    BaselinePosition -> {1, 1}]& ),
  Editable->True,
  InterpretationFunction->(RowBox[{"Legended", "[", 
     RowBox[{#, ",", 
       RowBox[{"Placed", "[", 
         RowBox[{#2, ",", "After"}], "]"}]}], "]"}]& )]], "Output",
 CellChangeTimes->{
  3.790500033011464*^9, 3.79050084055266*^9, 3.7905009114756613`*^9, 
   3.7905010403939533`*^9, {3.790501365461398*^9, 3.790501391778983*^9}, 
   3.790680768133603*^9, {3.790681247430805*^9, 3.7906812623349133`*^9}, 
   3.79068130990163*^9, 3.7906856024308653`*^9, 3.7906857162813396`*^9, {
   3.790686478844146*^9, 3.7906865357958193`*^9}, 3.790687109731969*^9},
 CellLabel->
  "Out[303]=",ExpressionUUID->"8e44c7c9-5ce5-472b-9910-b5854ac7e6dc"]
}, Open  ]],

Cell[BoxData[{
 RowBox[{
  RowBox[{
   RowBox[{"s8", "[", "x_", "]"}], "=", 
   RowBox[{
    RowBox[{"Sf", "[", "sample8", "]"}], "[", "x", "]"}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{
   RowBox[{"s12", "[", "x_", "]"}], "=", 
   RowBox[{
    RowBox[{"Sf", "[", "sample12", "]"}], "[", "x", "]"}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{
   RowBox[{"s16", "[", "x_", "]"}], "=", 
   RowBox[{
    RowBox[{"Sf", "[", "sample16", "]"}], "[", "x", "]"}]}], ";"}]}], "Input",\

 CellChangeTimes->{{3.789818072879238*^9, 3.78981807590705*^9}, {
  3.789818340608953*^9, 3.7898183589082117`*^9}, {3.7898187403625097`*^9, 
  3.789818745944372*^9}, {3.789818811197695*^9, 3.789818811385725*^9}, {
  3.789831546161499*^9, 3.789831546839629*^9}, {3.7898320404262114`*^9, 
  3.7898320553038607`*^9}, {3.789864943007975*^9, 3.7898649514318943`*^9}, {
  3.789892831115396*^9, 3.789892831435464*^9}, {3.789896963511537*^9, 
  3.7898969690204773`*^9}},
 CellLabel->
  "In[271]:=",ExpressionUUID->"09f155dc-a270-465f-83b4-5452a9d3c6a6"],

Cell[BoxData[{
 RowBox[{
  RowBox[{"fit8", "=", 
   RowBox[{"ff", "[", 
    RowBox[{"sample8", ",", "1", ",", "0.01"}], "]"}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"fit12", "=", 
   RowBox[{"ff", "[", 
    RowBox[{"sample12", ",", "1", ",", "0.01"}], "]"}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"fit16", "=", 
   RowBox[{"ff", "[", 
    RowBox[{"sample16", ",", "1", ",", "0.01"}], "]"}]}], ";"}]}], "Input",
 CellChangeTimes->{{3.789818955879264*^9, 3.7898190417484913`*^9}, {
  3.789819085394668*^9, 3.789819091758133*^9}, {3.789819628723962*^9, 
  3.7898196362971153`*^9}, {3.7898199879787416`*^9, 3.789820000838752*^9}, {
  3.789820614022482*^9, 3.78982065862674*^9}, {3.789831005306398*^9, 
  3.7898310300074987`*^9}, {3.789831442674109*^9, 3.789831462231441*^9}, {
  3.7898317830894527`*^9, 3.789831783399386*^9}, {3.789832066674664*^9, 
  3.78983207936756*^9}, {3.7898624522781687`*^9, 3.789862458686954*^9}, {
  3.7898649576818438`*^9, 3.7898649685188828`*^9}, {3.7898928388527813`*^9, 
  3.789892842756661*^9}, {3.789896975455278*^9, 3.789896979805492*^9}},
 CellLabel->
  "In[294]:=",ExpressionUUID->"faf27222-05ad-48db-b551-d6176fd5d567"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"LogLinearPlot", "[", 
  RowBox[{
   RowBox[{"Evaluate", "[", 
    RowBox[{"{", 
     RowBox[{
      RowBox[{"s8", "[", "x", "]"}], ",", 
      RowBox[{
       RowBox[{
        RowBox[{"(", 
         RowBox[{
          RowBox[{"logZ0", "[", "8", "]"}], "-", 
          RowBox[{
           RowBox[{"logZ", "[", "8", "]"}], "[", "x", "]"}]}], ")"}], "/", 
        SuperscriptBox["8", "2"]}], "/.", 
       RowBox[{"fit8", "[", 
        RowBox[{"[", "1", "]"}], "]"}]}], ",", 
      RowBox[{"s12", "[", "x", "]"}], ",", 
      RowBox[{
       RowBox[{
        RowBox[{"(", 
         RowBox[{
          RowBox[{"logZ0", "[", "12", "]"}], "-", 
          RowBox[{
           RowBox[{"logZ", "[", "12", "]"}], "[", "x", "]"}]}], ")"}], "/", 
        SuperscriptBox["12", "2"]}], "/.", 
       RowBox[{"fit12", "[", 
        RowBox[{"[", "1", "]"}], "]"}]}], ",", 
      RowBox[{"s16", "[", "x", "]"}], ",", 
      RowBox[{
       RowBox[{
        RowBox[{"(", 
         RowBox[{
          RowBox[{"logZ0", "[", "16", "]"}], "-", 
          RowBox[{
           RowBox[{"logZ", "[", "16", "]"}], "[", "x", "]"}]}], ")"}], "/", 
        SuperscriptBox["16", "2"]}], "/.", 
       RowBox[{"fit16", "[", 
        RowBox[{"[", "1", "]"}], "]"}]}]}], "}"}], "]"}], ",", 
   RowBox[{"{", 
    RowBox[{"x", ",", "1", ",", "25"}], "}"}], ",", 
   RowBox[{"AxesLabel", "\[Rule]", 
    RowBox[{"{", 
     RowBox[{"\[Beta]", ",", 
      RowBox[{"(", 
       RowBox[{
        RowBox[{"s", "[", "0", "]"}], "-", 
        RowBox[{"s", "[", "\[Beta]", "]"}]}], ")"}]}], "}"}]}], ",", 
   RowBox[{"PlotStyle", "\[Rule]", 
    RowBox[{
     RowBox[{"ColorData", "[", "97", "]"}], "/@", 
     RowBox[{"Riffle", "[", 
      RowBox[{
       RowBox[{"Range", "[", "3", "]"}], ",", 
       RowBox[{"Range", "[", "3", "]"}]}], "]"}]}]}], ",", 
   RowBox[{"PlotLegends", "\[Rule]", 
    RowBox[{"{", 
     RowBox[{
      RowBox[{"n", "\[Equal]", "8"}], ",", "None", ",", 
      RowBox[{"n", "\[Equal]", "12"}], ",", "None", ",", 
      RowBox[{"n", "\[Equal]", "16"}], ",", "None"}], "}"}]}]}], 
  "]"}]], "Input",
 CellChangeTimes->{{3.7898191382164*^9, 3.78981915322369*^9}, {
   3.789819203381546*^9, 3.7898192055038*^9}, {3.789819326102756*^9, 
   3.789819347009884*^9}, {3.789819591195232*^9, 3.789819600655766*^9}, {
   3.7898196738325663`*^9, 3.789819677929298*^9}, {3.7898197611734333`*^9, 
   3.78981977649758*^9}, {3.7898322181303864`*^9, 3.789832224367557*^9}, {
   3.789832474001747*^9, 3.789832488208096*^9}, {3.7898326615380707`*^9, 
   3.789832728584391*^9}, {3.7898604327260637`*^9, 3.7898604328817043`*^9}, {
   3.7898649731597443`*^9, 3.789864977151291*^9}, {3.7898928942783813`*^9, 
   3.789892895301448*^9}, 3.789893744798514*^9, {3.789896988834631*^9, 
   3.789896988839439*^9}, {3.790501199339796*^9, 3.790501228605167*^9}, {
   3.790501312814767*^9, 3.790501318389104*^9}, {3.790502626780437*^9, 
   3.790502637745879*^9}, {3.790687415941184*^9, 3.790687512627081*^9}},
 CellLabel->
  "In[312]:=",ExpressionUUID->"511fd1ec-10b6-4e80-beb1-748a7f18c95e"],

Cell[BoxData[
 TemplateBox[{GraphicsBox[{{{{}, {}, 
       TagBox[{
         Directive[
          Opacity[1.], 
          AbsoluteThickness[1.6], 
          RGBColor[0.368417, 0.506779, 0.709798]], 
         LineBox[CompressedData["
1:eJwV0Gs81PkCx/Fx98+2ZFkWlVq7NTVli6Ny6PuzJ1TkkiSXibV5aVEZimrd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          "]]}, 
        Annotation[#, "Charting`Private`Tag$84574#1"]& ], 
       TagBox[{
         Directive[
          Opacity[1.], 
          AbsoluteThickness[1.6], 
          RGBColor[0.368417, 0.506779, 0.709798]], 
         LineBox[CompressedData["
1:eJwV0H8803kcwPGVsX3lKm7KpZB0pdaDUvL7/dEd7tFqaOdHOo1F4iTKJcVC
xFwkFsqP1h6tkvlRMSRWDg8szc5EQzR9W4lUfsSSrvvj9Xj+/1rLOrYveDGB
QNj7vf9dxzvr5cqPcgqYFDbleuWLi0bPOnyheoCHju1u9ep8cTFMfu6lBoDv
+haZ/6s8sdGo0KuVGgk2PoPDZifyxAfFnOQGagIY1P/w7V5WrnjBfNawjpoF
w0kR9lIJV0xnVqhEVB546FlWkXZdEs/MpXdWUyuBxzpM+/hHsvhB5ZJ+heIR
EARGK4sE0ZDipp1TpN0OBltbSPNxORCmk0Lgp3WB6JjpDfdmHrSHPiWSR+Sw
qpu/OYl1G8pnJ8OWTfbBpowgo4vsCqDNs4rN/QahMdQqjn3lPnDpoc/8ng0D
e0UPuS6wBlp2XsyMUiiBG7FSMvzmATD695fpauPwREdNsH3YCDfy9OKTKCrY
UupkDRsew2U+zU5IeQtN3K76Q6omGAkxP8hE7yDo+rYzvM5mmHKZ3jbiOg7V
GsE9jJxWCHgRHPHh1ARQOCGhxmfbQMQqpR3o+gBODLvOscAOKFZerb0p+wiU
E4MSS7MnUCUe6BO9+QSz1R7EDJ2nsLnksqfF+CRw6NxeplwKXRO8+HDSNOhr
/n58/csuaPUPNzm/egbomq3DBd0yWNNXbkg2/gy+lrzCzup/gV/xSwd95yy8
D2f9taS0G9Jy3GVfHebAW36hgJglB3GxoTvHUQ0/H7xWwo7sATOSXcJzxhdg
z12RE4OewegZKZbtMw9C8fweV7deeLG3xnVZ1FcIzHNT5jj2wTo3pvpIygLE
XzrNZFk8h/Y9bK3Nqd/gmEh/09hyBUh7Pyt93Qno7Vi+bpJmP4QtG4vokhGQ
LT3ZtfttP5T5IWuR5yL0XuZzSNA+AKlyRx/2wCJEDfmx6NzDQciWn7yh9l+M
YMNOszXXXsB2jf20/aOLkWJ2V1sTdwhItSeNwo9qoJun+wd0HYchKWGKOj6u
gXTTOe1JZcPAjTG87BFLRM780ubYDS+hdyre/MgXIhqQJh6mX3kJd3mclaw0
TWSn9WRFCUUJVgHTqENPC3Xu1bZvzlDCa0Fh7uscLdR2Z16zYUEJlqvGXXBj
EkpffmjIPnYE7lBi1+bzSajq73hm/rsR6DQNtqkzJSM9gwuM6gOvIJWpvv2w
jIysy5Z6+/a8gihTiUu0BYaafFy+9bnikBUSGVezFUNOU/rS7t9wKBfq31db
Yag263Xx0904jFoHmCTaYEjYnurUTMchiDatznDGUK59R3yFNw7e0caVtxgY
CjN2n085jIND64lV/TEYoqh857adx8FvyU+eRqcxlHnOvH1LGg6xHo2pgXEY
0jZR529Mx0GkIE+rEjC04FtgY5SJg8VEkXSKg6E3HYMxWC4OpgZtyUsLMdRY
zpoZEuCA/I/WexZjyIZm1aq4hQOTr/eJy8PQPZVGbk8JDoVUf6ahAEO3TQQ7
JGU46Dt/st1YjqHsbFW0qBqH7efzIv+sxNBSi9pf79bgsE/icKv8HobSJGkU
YR0OmV6plB01GIojbqq63oCD8CqVdqoOQzM89blCMQ6SIVlifT2GjjtKGHmP
v/8xi6ldaMDQ++cF67L/wYEctnrC+RGGjpwMn7zQgsN/6d5YjQ==
          "]]}, 
        Annotation[#, "Charting`Private`Tag$84574#2"]& ], 
       TagBox[{
         Directive[
          Opacity[1.], 
          AbsoluteThickness[1.6], 
          RGBColor[0.880722, 0.611041, 0.142051]], 
         LineBox[CompressedData["
1:eJwVkHc41YsDh5GLk5vGbd0UIpWckpbK+HxLRkaZcUhGJLIqSRnRNXJDkVBZ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          "]]}, 
        Annotation[#, "Charting`Private`Tag$84574#3"]& ], 
       TagBox[{
         Directive[
          Opacity[1.], 
          AbsoluteThickness[1.6], 
          RGBColor[0.880722, 0.611041, 0.142051]], 
         LineBox[CompressedData["
1:eJwV0Hk41HkAx/FxxY9tlfTYsIk8T6npUWklj3y+dpd2c5NCO44pctZ4oqJR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          "]]}, 
        Annotation[#, "Charting`Private`Tag$84574#4"]& ], 
       TagBox[{
         Directive[
          Opacity[1.], 
          AbsoluteThickness[1.6], 
          RGBColor[0.560181, 0.691569, 0.194885]], 
         LineBox[CompressedData["
1:eJwVlnk01IsbxqdIDRUp5dpC3cIdtAklz1eiIoQiyRrpCulqoSJkTUq2SsiS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          "]]}, 
        Annotation[#, "Charting`Private`Tag$84574#5"]& ], 
       TagBox[{
         Directive[
          Opacity[1.], 
          AbsoluteThickness[1.6], 
          RGBColor[0.560181, 0.691569, 0.194885]], 
         LineBox[CompressedData["
1:eJwVxXk4lHkAB3BXY161qzx6atMibEvNo0NKou9vtodqJ4SsTBhNeUSIzZOS
alhHamsLHVpmNUskVxK6kNWso2LsYNzMOOZVHpUro7S7f3yezyr+MTd/DTU1
Naf//L9p5jkPR1H49qmWCt2D20XIGD1nN8faCxerJHmptwhCTMy0s/wgTPF6
yDwtguFovoeYFQa3fSpucbkIvlVJcc9YAuS1brvzZf2fmLf4aPCIdQXesko7
oWkWnHlFI2WsTLzqqQ3sYt7B9OyFVw9ZxRApm//y+OcuHhcv7OrsrEayd2C3
eMF9xO/UScnQqQd5kGuyprsUQYvi1UTnm+GbYbN61x8VqA98rcVUSDF82L5B
u/QpCj9OBOlOyBDqpOaTyK4G5xNfaMHtgbHnyuwu1xqkOge2cdv6kZDXz7m0
vxYvtvx2ObxTDjPruJt8OzHcu7wKlugMIcqS/5C5uw5ZN/TOxOqPgMEzOtmy
sQHXRBzbfH0auzvi0mb1XkIRYOHLI2/ArjG7+N7gNSYdpjYqHMew9b3rVYZ6
M/x6/UPfnRxHfoXli2imBGX8e5wDze+gyuLlrlrYAqH8VsUdyXvIWQLf/Z9a
UFrVLStTfsD3b59Fz6hLsfbuNdd1YxPQ3vkmxHxaiubxzDPB2lNgd1j//Xy+
FWKfYOOEldPwuiJtStJox7eyQgOm0QwoBf+eYrIdoqIdDc5bPmJZyNfj2XMy
nE9xkXy2m0Vl8t0FqncdqBIauCTZq8DuudkYPdAJM21bQYf7HIx52bMBw10Y
Pd1EJXt+wq3o26rBjm70OpU76oZ/xjHJ40MNAz0w3clTHYmfhxHHPLp3sBf1
e84y1iZ+wVG/+IC4tj40tc/I97uokQtt53x2h/YjSPdtaLNEjeQ1lIalKftR
wCWby1zVia0kpUvgN4BEqb3n2W51cuJ4TFS6fADJ0hNZKh8NIlAMa6h7y7FJ
04vjNapBbMa5VWl9cmhXnDAMDtEklXWO/qe5CsQKJlljY5qkpLSbP9miQGqk
wbW9p7SIm11M6m2PQbRPnrE4MqdFqq9mFN1oGsT9zKRl/PMLSG9s3fxz9yFY
+U2RBj0GOZKQkf1L6xCGs9OvD6cwSKXnqPVl52GsXzHmMGSkTWprHVQvJcPI
0z+16qZIm1z/sjx3354RvDLxt3lkwiSyPdcLjteOIJGnyn1awCRia5MRsaMS
4SaNDhHrKBL79judQ9VKXAkIiy7fQBHnHr+vYmuUKMxf+kBlRZEVr39ffLtW
idHNfsYxNhQpKVqyrK9OicOcKdUlNkUGf/5sekCixE8RRsU57hTZNSu1d5cr
YSc+vqIrkiKLGXHhO7RocBd+42oYRZHu6coIPoPGqb2ViQejKZI7MhsZw6RR
1smcGhFQ5If6Y2erFtFYN57RNJlEkYhfD1zctpSGyfK6uK/TKSLTs8q2Wk2D
+IQ8cRVSJEszNNfNnAZPpPchNZMiYZO598LX0Ehn+fAMsimi02ZYUmRJYyn7
w1bzQorYpulUrd1CY1PCjbCjxRRhXnCo+XErDbdGu5zCEopIowQvArfRuOyR
qG9dTpFg7+nGHNDIv8XinHxEERunDU1iNo3GPknMkycUYWwPbhnaQWPULLJi
/hlFWixzWrUcaTCDVo6zqykiNJLLTHfR+BdgwV0y
          "]]}, 
        Annotation[#, "Charting`Private`Tag$84574#6"]& ]}}, {}}, {
    DisplayFunction -> Identity, 
     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}, DisplayFunction -> Identity, DisplayFunction -> Identity, 
     Ticks -> {Quiet[
        Charting`ScaledTicks[{Log, Exp}][#, #2, {6, 6}]]& , Automatic}, 
     AxesOrigin -> {0., 0}, FrameTicks -> {{Automatic, 
        Charting`ScaledFrameTicks[{Identity, Identity}]}, {Quiet[
         Charting`ScaledTicks[{Log, Exp}][#, #2, {6, 6}]]& , 
        Charting`ScaledFrameTicks[{Log, Exp}]}}, GridLines -> {None, None}, 
     DisplayFunction -> Identity, PlotRangePadding -> {{
        Scaled[0.02], 
        Scaled[0.02]}, {
        Scaled[0.05], 
        Scaled[0.05]}}, PlotRangeClipping -> True, ImagePadding -> All, 
     DisplayFunction -> Identity, 
     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,
        "ClippingRange" -> {{{6.569134336465715*^-8, 
        3.218875759176857}, {-0.023763995773367852`, 0.7900561557771544}}, {{
        6.569134336465715*^-8, 3.218875759176857}, {-0.023763995773367852`, 
        0.7900561557771544}}}}, DisplayFunction -> Identity, AspectRatio -> 
     NCache[GoldenRatio^(-1), 0.6180339887498948], Axes -> {True, True}, 
     AxesLabel -> {
       FormBox["\[Beta]", TraditionalForm], 
       FormBox[
        RowBox[{
          RowBox[{"s", "(", "0", ")"}], "-", 
          RowBox[{"s", "(", "\[Beta]", ")"}]}], TraditionalForm]}, 
     AxesOrigin -> {0, 0}, CoordinatesToolOptions -> {"DisplayFunction" -> ({
         Exp[
          Part[#, 1]], 
         Part[#, 2]}& ), "CopiedValueFunction" -> ({
         Exp[
          Part[#, 1]], 
         Part[#, 2]}& )}, 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]], 
     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[25]}, {-0.023763995773367852`, 0.7900561557771544}}, {{
        0, 3.2188758248682006`}, {-0.023763995773367852`, 
        0.7900561557771544}}], PlotRangeClipping -> True, 
     PlotRangePadding -> {{
        Scaled[0.02], 
        Scaled[0.02]}, {
        Scaled[0.02], 
        Scaled[0.02]}}, Ticks -> {Automatic, Automatic}}],FormBox[
    FormBox[
     TemplateBox[{
       RowBox[{"n", "\[LongEqual]", "8"}], "None", 
       RowBox[{"n", "\[LongEqual]", "12"}], "None", 
       RowBox[{"n", "\[LongEqual]", "16"}], "None"}, "LineLegend", 
      DisplayFunction -> (FormBox[
        StyleBox[
         StyleBox[
          PaneBox[
           TagBox[
            GridBox[{{
               TagBox[
                GridBox[{{
                   GraphicsBox[{{
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[0.5], 
                    Opacity[1.], 
                    AbsoluteThickness[1.6], 
                    RGBColor[0.368417, 0.506779, 0.709798]], {
                    LineBox[{{0, 10}, {20, 10}}]}}, {
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[0.5], 
                    Opacity[1.], 
                    AbsoluteThickness[1.6], 
                    RGBColor[0.368417, 0.506779, 0.709798]], {}}}, 
                    AspectRatio -> Full, ImageSize -> {20, 10}, 
                    PlotRangePadding -> None, ImagePadding -> Automatic, 
                    BaselinePosition -> (Scaled[0.1] -> Baseline)], #}, {
                   GraphicsBox[{{
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[0.5], 
                    Opacity[1.], 
                    AbsoluteThickness[1.6], 
                    RGBColor[0.880722, 0.611041, 0.142051]], {
                    LineBox[{{0, 10}, {20, 10}}]}}, {
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[0.5], 
                    Opacity[1.], 
                    AbsoluteThickness[1.6], 
                    RGBColor[0.880722, 0.611041, 0.142051]], {}}}, 
                    AspectRatio -> Full, ImageSize -> {20, 10}, 
                    PlotRangePadding -> None, ImagePadding -> Automatic, 
                    BaselinePosition -> (Scaled[0.1] -> Baseline)], #3}, {
                   GraphicsBox[{{
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[0.5], 
                    Opacity[1.], 
                    AbsoluteThickness[1.6], 
                    RGBColor[0.560181, 0.691569, 0.194885]], {
                    LineBox[{{0, 10}, {20, 10}}]}}, {
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[0.5], 
                    Opacity[1.], 
                    AbsoluteThickness[1.6], 
                    RGBColor[0.560181, 0.691569, 0.194885]], {}}}, 
                    AspectRatio -> Full, ImageSize -> {20, 10}, 
                    PlotRangePadding -> None, ImagePadding -> Automatic, 
                    BaselinePosition -> (Scaled[0.1] -> Baseline)], #5}}, 
                 GridBoxAlignment -> {
                  "Columns" -> {Center, Left}, "Rows" -> {{Baseline}}}, 
                 AutoDelete -> False, 
                 GridBoxDividers -> {
                  "Columns" -> {{False}}, "Rows" -> {{False}}}, 
                 GridBoxItemSize -> {"Columns" -> {{All}}, "Rows" -> {{All}}},
                  GridBoxSpacings -> {
                  "Columns" -> {{0.5}}, "Rows" -> {{0.8}}}], "Grid"]}}, 
             GridBoxAlignment -> {"Columns" -> {{Left}}, "Rows" -> {{Top}}}, 
             AutoDelete -> False, 
             GridBoxItemSize -> {
              "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, 
             GridBoxSpacings -> {"Columns" -> {{1}}, "Rows" -> {{0}}}], 
            "Grid"], Alignment -> Left, AppearanceElements -> None, 
           ImageMargins -> {{5, 5}, {5, 5}}, ImageSizeAction -> 
           "ResizeToFit"], LineIndent -> 0, StripOnInput -> False], {
         FontFamily -> "Arial"}, Background -> Automatic, StripOnInput -> 
         False], TraditionalForm]& ), 
      InterpretationFunction :> (RowBox[{"LineLegend", "[", 
         RowBox[{
           RowBox[{"{", 
             RowBox[{
               RowBox[{"Directive", "[", 
                 RowBox[{
                   RowBox[{"Opacity", "[", "1.`", "]"}], ",", 
                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
                   InterpretationBox[
                    ButtonBox[
                    TooltipBox[
                    GraphicsBox[{{
                    GrayLevel[0], 
                    RectangleBox[{0, 0}]}, {
                    GrayLevel[0], 
                    RectangleBox[{1, -1}]}, {
                    RGBColor[0.368417, 0.506779, 0.709798], 
                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
                    FrameStyle -> 
                    RGBColor[
                    0.24561133333333335`, 0.3378526666666667, 
                    0.4731986666666667], FrameTicks -> None, PlotRangePadding -> 
                    None, ImageSize -> 
                    Dynamic[{
                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
                    AbsoluteCurrentValue[Magnification]}]], 
                    StyleBox[
                    RowBox[{"RGBColor", "[", 
                    RowBox[{"0.368417`", ",", "0.506779`", ",", "0.709798`"}],
                     "]"}], NumberMarks -> False]], Appearance -> None, 
                    BaseStyle -> {}, BaselinePosition -> Baseline, 
                    DefaultBaseStyle -> {}, ButtonFunction :> 
                    With[{Typeset`box$ = EvaluationBox[]}, 
                    If[
                    Not[
                    AbsoluteCurrentValue["Deployed"]], 
                    SelectionMove[Typeset`box$, All, Expression]; 
                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
                    FrontEnd`Private`$ColorSelectorInitialColor = 
                    RGBColor[0.368417, 0.506779, 0.709798]; 
                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
                    MathLink`CallFrontEnd[
                    FrontEnd`AttachCell[Typeset`box$, 
                    FrontEndResource["RGBColorValueSelector"], {
                    0, {Left, Bottom}}, {Left, Top}, 
                    "ClosingActions" -> {
                    "SelectionDeparture", "ParentChanged", 
                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
                    Automatic, Method -> "Preemptive"], 
                    RGBColor[0.368417, 0.506779, 0.709798], Editable -> False,
                     Selectable -> False]}], "]"}], ",", 
               RowBox[{"Directive", "[", 
                 RowBox[{
                   RowBox[{"Opacity", "[", "1.`", "]"}], ",", 
                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
                   InterpretationBox[
                    ButtonBox[
                    TooltipBox[
                    GraphicsBox[{{
                    GrayLevel[0], 
                    RectangleBox[{0, 0}]}, {
                    GrayLevel[0], 
                    RectangleBox[{1, -1}]}, {
                    RGBColor[0.368417, 0.506779, 0.709798], 
                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
                    FrameStyle -> 
                    RGBColor[
                    0.24561133333333335`, 0.3378526666666667, 
                    0.4731986666666667], FrameTicks -> None, PlotRangePadding -> 
                    None, ImageSize -> 
                    Dynamic[{
                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
                    AbsoluteCurrentValue[Magnification]}]], 
                    StyleBox[
                    RowBox[{"RGBColor", "[", 
                    RowBox[{"0.368417`", ",", "0.506779`", ",", "0.709798`"}],
                     "]"}], NumberMarks -> False]], Appearance -> None, 
                    BaseStyle -> {}, BaselinePosition -> Baseline, 
                    DefaultBaseStyle -> {}, ButtonFunction :> 
                    With[{Typeset`box$ = EvaluationBox[]}, 
                    If[
                    Not[
                    AbsoluteCurrentValue["Deployed"]], 
                    SelectionMove[Typeset`box$, All, Expression]; 
                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
                    FrontEnd`Private`$ColorSelectorInitialColor = 
                    RGBColor[0.368417, 0.506779, 0.709798]; 
                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
                    MathLink`CallFrontEnd[
                    FrontEnd`AttachCell[Typeset`box$, 
                    FrontEndResource["RGBColorValueSelector"], {
                    0, {Left, Bottom}}, {Left, Top}, 
                    "ClosingActions" -> {
                    "SelectionDeparture", "ParentChanged", 
                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
                    Automatic, Method -> "Preemptive"], 
                    RGBColor[0.368417, 0.506779, 0.709798], Editable -> False,
                     Selectable -> False]}], "]"}], ",", 
               RowBox[{"Directive", "[", 
                 RowBox[{
                   RowBox[{"Opacity", "[", "1.`", "]"}], ",", 
                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
                   InterpretationBox[
                    ButtonBox[
                    TooltipBox[
                    GraphicsBox[{{
                    GrayLevel[0], 
                    RectangleBox[{0, 0}]}, {
                    GrayLevel[0], 
                    RectangleBox[{1, -1}]}, {
                    RGBColor[0.880722, 0.611041, 0.142051], 
                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
                    FrameStyle -> 
                    RGBColor[
                    0.587148, 0.40736066666666665`, 0.09470066666666668], 
                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
                    Dynamic[{
                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
                    AbsoluteCurrentValue[Magnification]}]], 
                    StyleBox[
                    RowBox[{"RGBColor", "[", 
                    RowBox[{"0.880722`", ",", "0.611041`", ",", "0.142051`"}],
                     "]"}], NumberMarks -> False]], Appearance -> None, 
                    BaseStyle -> {}, BaselinePosition -> Baseline, 
                    DefaultBaseStyle -> {}, ButtonFunction :> 
                    With[{Typeset`box$ = EvaluationBox[]}, 
                    If[
                    Not[
                    AbsoluteCurrentValue["Deployed"]], 
                    SelectionMove[Typeset`box$, All, Expression]; 
                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
                    FrontEnd`Private`$ColorSelectorInitialColor = 
                    RGBColor[0.880722, 0.611041, 0.142051]; 
                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
                    MathLink`CallFrontEnd[
                    FrontEnd`AttachCell[Typeset`box$, 
                    FrontEndResource["RGBColorValueSelector"], {
                    0, {Left, Bottom}}, {Left, Top}, 
                    "ClosingActions" -> {
                    "SelectionDeparture", "ParentChanged", 
                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
                    Automatic, Method -> "Preemptive"], 
                    RGBColor[0.880722, 0.611041, 0.142051], Editable -> False,
                     Selectable -> False]}], "]"}], ",", 
               RowBox[{"Directive", "[", 
                 RowBox[{
                   RowBox[{"Opacity", "[", "1.`", "]"}], ",", 
                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
                   InterpretationBox[
                    ButtonBox[
                    TooltipBox[
                    GraphicsBox[{{
                    GrayLevel[0], 
                    RectangleBox[{0, 0}]}, {
                    GrayLevel[0], 
                    RectangleBox[{1, -1}]}, {
                    RGBColor[0.880722, 0.611041, 0.142051], 
                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
                    FrameStyle -> 
                    RGBColor[
                    0.587148, 0.40736066666666665`, 0.09470066666666668], 
                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
                    Dynamic[{
                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
                    AbsoluteCurrentValue[Magnification]}]], 
                    StyleBox[
                    RowBox[{"RGBColor", "[", 
                    RowBox[{"0.880722`", ",", "0.611041`", ",", "0.142051`"}],
                     "]"}], NumberMarks -> False]], Appearance -> None, 
                    BaseStyle -> {}, BaselinePosition -> Baseline, 
                    DefaultBaseStyle -> {}, ButtonFunction :> 
                    With[{Typeset`box$ = EvaluationBox[]}, 
                    If[
                    Not[
                    AbsoluteCurrentValue["Deployed"]], 
                    SelectionMove[Typeset`box$, All, Expression]; 
                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
                    FrontEnd`Private`$ColorSelectorInitialColor = 
                    RGBColor[0.880722, 0.611041, 0.142051]; 
                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
                    MathLink`CallFrontEnd[
                    FrontEnd`AttachCell[Typeset`box$, 
                    FrontEndResource["RGBColorValueSelector"], {
                    0, {Left, Bottom}}, {Left, Top}, 
                    "ClosingActions" -> {
                    "SelectionDeparture", "ParentChanged", 
                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
                    Automatic, Method -> "Preemptive"], 
                    RGBColor[0.880722, 0.611041, 0.142051], Editable -> False,
                     Selectable -> False]}], "]"}], ",", 
               RowBox[{"Directive", "[", 
                 RowBox[{
                   RowBox[{"Opacity", "[", "1.`", "]"}], ",", 
                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
                   InterpretationBox[
                    ButtonBox[
                    TooltipBox[
                    GraphicsBox[{{
                    GrayLevel[0], 
                    RectangleBox[{0, 0}]}, {
                    GrayLevel[0], 
                    RectangleBox[{1, -1}]}, {
                    RGBColor[0.560181, 0.691569, 0.194885], 
                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
                    FrameStyle -> 
                    RGBColor[
                    0.37345400000000006`, 0.461046, 0.12992333333333334`], 
                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
                    Dynamic[{
                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
                    AbsoluteCurrentValue[Magnification]}]], 
                    StyleBox[
                    RowBox[{"RGBColor", "[", 
                    RowBox[{"0.560181`", ",", "0.691569`", ",", "0.194885`"}],
                     "]"}], NumberMarks -> False]], Appearance -> None, 
                    BaseStyle -> {}, BaselinePosition -> Baseline, 
                    DefaultBaseStyle -> {}, ButtonFunction :> 
                    With[{Typeset`box$ = EvaluationBox[]}, 
                    If[
                    Not[
                    AbsoluteCurrentValue["Deployed"]], 
                    SelectionMove[Typeset`box$, All, Expression]; 
                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
                    FrontEnd`Private`$ColorSelectorInitialColor = 
                    RGBColor[0.560181, 0.691569, 0.194885]; 
                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
                    MathLink`CallFrontEnd[
                    FrontEnd`AttachCell[Typeset`box$, 
                    FrontEndResource["RGBColorValueSelector"], {
                    0, {Left, Bottom}}, {Left, Top}, 
                    "ClosingActions" -> {
                    "SelectionDeparture", "ParentChanged", 
                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
                    Automatic, Method -> "Preemptive"], 
                    RGBColor[0.560181, 0.691569, 0.194885], Editable -> False,
                     Selectable -> False]}], "]"}], ",", 
               RowBox[{"Directive", "[", 
                 RowBox[{
                   RowBox[{"Opacity", "[", "1.`", "]"}], ",", 
                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
                   InterpretationBox[
                    ButtonBox[
                    TooltipBox[
                    GraphicsBox[{{
                    GrayLevel[0], 
                    RectangleBox[{0, 0}]}, {
                    GrayLevel[0], 
                    RectangleBox[{1, -1}]}, {
                    RGBColor[0.560181, 0.691569, 0.194885], 
                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
                    FrameStyle -> 
                    RGBColor[
                    0.37345400000000006`, 0.461046, 0.12992333333333334`], 
                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
                    Dynamic[{
                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
                    AbsoluteCurrentValue[Magnification]}]], 
                    StyleBox[
                    RowBox[{"RGBColor", "[", 
                    RowBox[{"0.560181`", ",", "0.691569`", ",", "0.194885`"}],
                     "]"}], NumberMarks -> False]], Appearance -> None, 
                    BaseStyle -> {}, BaselinePosition -> Baseline, 
                    DefaultBaseStyle -> {}, ButtonFunction :> 
                    With[{Typeset`box$ = EvaluationBox[]}, 
                    If[
                    Not[
                    AbsoluteCurrentValue["Deployed"]], 
                    SelectionMove[Typeset`box$, All, Expression]; 
                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
                    FrontEnd`Private`$ColorSelectorInitialColor = 
                    RGBColor[0.560181, 0.691569, 0.194885]; 
                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
                    MathLink`CallFrontEnd[
                    FrontEnd`AttachCell[Typeset`box$, 
                    FrontEndResource["RGBColorValueSelector"], {
                    0, {Left, Bottom}}, {Left, Top}, 
                    "ClosingActions" -> {
                    "SelectionDeparture", "ParentChanged", 
                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
                    Automatic, Method -> "Preemptive"], 
                    RGBColor[0.560181, 0.691569, 0.194885], Editable -> False,
                     Selectable -> False]}], "]"}]}], "}"}], ",", 
           RowBox[{"{", 
             RowBox[{#, ",", #2, ",", #3, ",", #4, ",", #5, ",", #6}], "}"}], 
           ",", 
           RowBox[{"LegendMarkers", "\[Rule]", "None"}], ",", 
           RowBox[{"LabelStyle", "\[Rule]", 
             RowBox[{"{", "}"}]}], ",", 
           RowBox[{"LegendLayout", "\[Rule]", "\"Column\""}]}], "]"}]& ), 
      Editable -> True], TraditionalForm], TraditionalForm]},
  "Legended",
  DisplayFunction->(GridBox[{{
      TagBox[
       ItemBox[
        PaneBox[
         TagBox[#, "SkipImageSizeLevel"], Alignment -> {Center, Baseline}, 
         BaselinePosition -> Baseline], DefaultBaseStyle -> "Labeled"], 
       "SkipImageSizeLevel"], 
      ItemBox[#2, DefaultBaseStyle -> "LabeledLabel"]}}, 
    GridBoxAlignment -> {"Columns" -> {{Center}}, "Rows" -> {{Center}}}, 
    AutoDelete -> False, GridBoxItemSize -> Automatic, 
    BaselinePosition -> {1, 1}]& ),
  Editable->True,
  InterpretationFunction->(RowBox[{"Legended", "[", 
     RowBox[{#, ",", 
       RowBox[{"Placed", "[", 
         RowBox[{#2, ",", "After"}], "]"}]}], "]"}]& )]], "Output",
 CellChangeTimes->{
  3.789819154559926*^9, 3.7898192058383102`*^9, {3.789819328973916*^9, 
   3.789819347233488*^9}, {3.789819586510404*^9, 3.789819601266243*^9}, {
   3.7898196317659693`*^9, 3.789819637118384*^9}, 3.7898196782312527`*^9, {
   3.789819743383521*^9, 3.789819776802191*^9}, 3.789820003836022*^9, 
   3.7898200483861856`*^9, {3.789820594030262*^9, 3.789820707787868*^9}, {
   3.7898224631465263`*^9, 3.7898224693046827`*^9}, 3.7898317351153708`*^9, {
   3.789831769123528*^9, 3.7898317873044233`*^9}, 3.7898320868229*^9, {
   3.789832219182062*^9, 3.7898322246789417`*^9}, 3.789832488485786*^9, {
   3.7898326687007637`*^9, 3.7898327288395452`*^9}, {3.7898604293463984`*^9, 
   3.789860433244069*^9}, {3.789862454221322*^9, 3.789862459724276*^9}, 
   3.78989284423855*^9, 3.789892895680129*^9, {3.7898937316741867`*^9, 
   3.7898937451922913`*^9}, {3.7898969827585917`*^9, 3.789896989637113*^9}, 
   3.790500048307528*^9, 3.790500844463442*^9, 3.790500913757571*^9, 
   3.790501318999692*^9, 3.790502638211178*^9, 3.7906807712547293`*^9, 
   3.790681264559465*^9, 3.790681313682047*^9, 3.790685724380177*^9, {
   3.790686481233158*^9, 3.7906865375867577`*^9}, {3.790687438279323*^9, 
   3.790687513180407*^9}},
 CellLabel->
  "Out[312]=",ExpressionUUID->"79776383-7b0a-4c8c-96fb-ec0fcc44679e"]
}, Open  ]],

Cell[BoxData[
 RowBox[{
  RowBox[{"ns", "=", 
   RowBox[{
    RowBox[{
     RowBox[{"Import", "[", 
      RowBox[{
      "\"\<https://oeis.org/A206711/b206711.txt\>\"", ",", "\"\<Table\>\""}], 
      "]"}], "[", 
     RowBox[{"[", 
      RowBox[{
       RowBox[{"2", ";;"}], ",", "2"}], "]"}], "]"}], "/", "2"}]}], 
  ";"}]], "Input",
 CellChangeTimes->{{3.78982026538109*^9, 3.789820353900846*^9}},
 CellLabel->
  "In[278]:=",ExpressionUUID->"5a1efa6e-dfe2-4d60-ae14-3a6c7a1d321c"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{
   RowBox[{"(", 
    RowBox[{
     RowBox[{"Exp", "[", 
      RowBox[{"logN", "[", "8", "]"}], "]"}], "-", 
     RowBox[{"ns", "[", 
      RowBox[{"[", "2", "]"}], "]"}]}], ")"}], "/", 
   RowBox[{"ns", "[", 
    RowBox[{"[", "2", "]"}], "]"}]}], "/.", 
  RowBox[{"fit8", "[", 
   RowBox[{"[", "1", "]"}], "]"}]}]], "Input",
 CellChangeTimes->{{3.7860347589391937`*^9, 3.786034815522037*^9}, {
  3.7860348927276173`*^9, 3.786034892871313*^9}, {3.786034938992958*^9, 
  3.786034939228087*^9}, {3.786035027428249*^9, 3.786035027598805*^9}, {
  3.78603612665457*^9, 3.786036174521947*^9}, {3.786036298387973*^9, 
  3.786036298558413*^9}, {3.786036391518311*^9, 3.786036392481715*^9}, {
  3.789817322122814*^9, 3.78981734350443*^9}, {3.78981904967447*^9, 
  3.789819050028948*^9}, {3.78981989295175*^9, 3.789819900229203*^9}, {
  3.789820346352702*^9, 3.789820358949071*^9}, {3.789831035088595*^9, 
  3.789831035495175*^9}, {3.790686939117031*^9, 3.790686939521482*^9}},
 CellLabel->
  "In[313]:=",ExpressionUUID->"90d2bb91-ba31-44f8-b0ca-47994c701e88"],

Cell[BoxData["0.011528892817073534`"], "Output",
 CellChangeTimes->{{3.786034765393785*^9, 3.786034815805835*^9}, {
   3.786034880548635*^9, 3.7860348931752234`*^9}, {3.7860349290857697`*^9, 
   3.78603493955373*^9}, 3.7860350281548758`*^9, 3.786035066093541*^9, 
   3.786035221700058*^9, 3.786036062003336*^9, 3.7860360946394253`*^9, {
   3.786036127322308*^9, 3.786036132430464*^9}, {3.786036162798462*^9, 
   3.786036197237939*^9}, {3.786036258065976*^9, 3.7860363091693296`*^9}, 
   3.786036393224642*^9, 3.786036435908414*^9, 3.786036506475976*^9, {
   3.78981732702774*^9, 3.789817367917185*^9}, {3.789817799899253*^9, 
   3.789817828202737*^9}, 3.789819050485126*^9, 3.78981908819144*^9, {
   3.789819607127367*^9, 3.7898196375034018`*^9}, 3.789819744075357*^9, {
   3.789819893666527*^9, 3.789819900694466*^9}, 3.789820004964889*^9, 
   3.789820359137393*^9, {3.789820594929513*^9, 3.78982070858637*^9}, {
   3.789822463806806*^9, 3.789822470222951*^9}, {3.789831035829953*^9, 
   3.789831039712731*^9}, 3.7898311296448107`*^9, 3.789831173331883*^9, {
   3.789831771607078*^9, 3.7898317882862673`*^9}, 3.7898321075130663`*^9, 
   3.789860441009506*^9, {3.789862455358055*^9, 3.7898624604158573`*^9}, 
   3.7898928491271963`*^9, 3.789895378453265*^9, 3.78989699519963*^9, 
   3.790500053288452*^9, 3.7905008466582413`*^9, 3.790500915366055*^9, 
   3.790680774016933*^9, 3.790681267181381*^9, 3.7906813151258707`*^9, 
   3.790685728199264*^9, {3.790686487552446*^9, 3.790686539072474*^9}, {
   3.7906869354035*^9, 3.790686939935053*^9}, 3.790687522332919*^9},
 CellLabel->
  "Out[313]=",ExpressionUUID->"c0e31b1c-6cff-4223-a724-2c5b4f4824e5"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{
   RowBox[{"(", 
    RowBox[{
     RowBox[{"Exp", "[", 
      RowBox[{"logN", "[", "12", "]"}], "]"}], "-", 
     RowBox[{"ns", "[", 
      RowBox[{"[", "3", "]"}], "]"}]}], ")"}], "/", 
   RowBox[{"ns", "[", 
    RowBox[{"[", "3", "]"}], "]"}]}], "/.", 
  RowBox[{"fit12", "[", 
   RowBox[{"[", "1", "]"}], "]"}]}]], "Input",
 CellChangeTimes->{{3.789820082827054*^9, 3.789820111656827*^9}, {
  3.78982037403331*^9, 3.78982038294141*^9}, {3.789831775865436*^9, 
  3.78983177611141*^9}, {3.790686943324568*^9, 3.79068694357749*^9}},
 CellLabel->
  "In[314]:=",ExpressionUUID->"24a1235a-0106-41db-84ea-024b7cb0822c"],

Cell[BoxData["0.014621758308675504`"], "Output",
 CellChangeTimes->{{3.789820091591922*^9, 3.789820112136485*^9}, 
   3.789820384157509*^9, {3.789820595407804*^9, 3.789820619979476*^9}, {
   3.7898206520168953`*^9, 3.789820708977715*^9}, {3.789822464040449*^9, 
   3.789822470632036*^9}, {3.789831772132658*^9, 3.789831789119802*^9}, 
   3.789832108205226*^9, 3.78986044212982*^9, {3.789862456024865*^9, 
   3.7898624608924503`*^9}, 3.789892849403596*^9, 3.789895378722474*^9, 
   3.789896995440785*^9, 3.790500053923429*^9, 3.790500846700687*^9, 
   3.790500915950795*^9, 3.7906807745707397`*^9, 3.7906812676631613`*^9, 
   3.790681315798389*^9, 3.790685728471385*^9, {3.7906864883651733`*^9, 
   3.790686539448419*^9}, 3.790686943835453*^9, 3.790687522603384*^9},
 CellLabel->
  "Out[314]=",ExpressionUUID->"13476d45-5bbd-4649-8fa4-e986b06fb75c"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{
   RowBox[{"(", 
    RowBox[{
     RowBox[{"Exp", "[", 
      RowBox[{"logN", "[", "16", "]"}], "]"}], "-", 
     RowBox[{"ns", "[", 
      RowBox[{"[", "4", "]"}], "]"}]}], ")"}], "/", 
   RowBox[{"ns", "[", 
    RowBox[{"[", "4", "]"}], "]"}]}], "/.", 
  RowBox[{"fit16", "[", 
   RowBox[{"[", "1", "]"}], "]"}]}]], "Input",
 CellChangeTimes->{{3.78986498754324*^9, 3.789864996472858*^9}, {
  3.790686947012381*^9, 3.790686947257492*^9}},
 CellLabel->
  "In[315]:=",ExpressionUUID->"6c35788f-083e-448b-82aa-5d86bb96b55a"],

Cell[BoxData[
 RowBox[{"-", "0.9584040342730118`"}]], "Output",
 CellChangeTimes->{3.78989699778589*^9, 3.790680775155786*^9, 
  3.790681268587042*^9, 3.790681316297798*^9, 3.790685728795175*^9, 
  3.7906865399149313`*^9, 3.790686947637628*^9, 3.7906875228290997`*^9},
 CellLabel->
  "Out[315]=",ExpressionUUID->"df7c4f95-664c-4667-af1e-fe8e47cb5783"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"fit16New", "=", 
  RowBox[{"Solve", "[", 
   RowBox[{
    RowBox[{
     RowBox[{"NIntegrate", "[", 
      RowBox[{
       RowBox[{
        RowBox[{"Interpolation", "[", 
         RowBox[{
          RowBox[{"Prepend", "[", 
           RowBox[{
            RowBox[{"Normal", "[", 
             RowBox[{"sample16", "[", 
              RowBox[{
               RowBox[{"Thread", "[", 
                RowBox[{"{", 
                 RowBox[{"#\[Beta]s", ",", 
                  RowBox[{"#Cs", "/", "#\[Beta]s"}]}], "}"}], "]"}], "&"}], 
              "]"}], "]"}], ",", 
            RowBox[{"{", 
             RowBox[{"0", ",", "0"}], "}"}]}], "]"}], ",", 
          RowBox[{"Method", "\[Rule]", "\"\<Spline\>\""}]}], "]"}], "[", "x", 
        "]"}], ",", 
       RowBox[{"{", 
        RowBox[{"x", ",", "0", ",", "50"}], "}"}]}], "]"}], "==", 
     RowBox[{"(", 
      RowBox[{
       RowBox[{"logZ0", "[", "16", "]"}], "-", 
       RowBox[{
        RowBox[{"logZ", "[", "16", "]"}], "[", "50", "]"}]}], ")"}]}], ",", 
    RowBox[{"logN", "[", "16", "]"}]}], "]"}]}]], "Input",
 CellChangeTimes->{{3.7906857384191933`*^9, 3.790685738688867*^9}, {
  3.790685770072997*^9, 3.7906858559293222`*^9}, {3.790685893260291*^9, 
  3.790685977649507*^9}},
 CellLabel->
  "In[301]:=",ExpressionUUID->"c12fa5e5-5063-4b4c-9c3f-33314d3bf3a5"],

Cell[BoxData[
 RowBox[{"{", 
  RowBox[{"{", 
   RowBox[{
    RowBox[{"logN", "[", "16", "]"}], "\[Rule]", "72.82835892655817`"}], 
   "}"}], "}"}]], "Output",
 CellChangeTimes->{{3.7906857941792307`*^9, 3.7906858562074223`*^9}, 
   3.790685909680387*^9, {3.7906859466224937`*^9, 3.790685978424323*^9}, 
   3.7906865407791567`*^9, 3.790686951549755*^9},
 CellLabel->
  "Out[301]=",ExpressionUUID->"2914ae7c-4997-40c6-ae62-793d718e2cea"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{
   RowBox[{"(", 
    RowBox[{
     RowBox[{"Exp", "[", 
      RowBox[{"logN", "[", "16", "]"}], "]"}], "-", 
     RowBox[{"ns", "[", 
      RowBox[{"[", "4", "]"}], "]"}]}], ")"}], "/", 
   RowBox[{"ns", "[", 
    RowBox[{"[", "4", "]"}], "]"}]}], "/.", 
  RowBox[{"fit16New", "[", 
   RowBox[{"[", "1", "]"}], "]"}]}]], "Input",
 CellChangeTimes->{{3.7906859819371147`*^9, 3.790685988545287*^9}},
 CellLabel->
  "In[302]:=",ExpressionUUID->"999b2b2d-cb71-4e35-875f-2e890e432c80"],

Cell[BoxData[
 RowBox[{"-", "0.038587921004973685`"}]], "Output",
 CellChangeTimes->{3.790685988837531*^9, 3.790686541209792*^9, 
  3.7906869521066313`*^9},
 CellLabel->
  "Out[302]=",ExpressionUUID->"6c8cbe80-6b6a-4d30-a4d8-b1258c4d2ceb"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"ns", "[", 
  RowBox[{"[", "4", "]"}], "]"}]], "Input",
 CellChangeTimes->{{3.790686194939144*^9, 3.7906862275450993`*^9}},
 CellLabel->
  "In[226]:=",ExpressionUUID->"13f9cb8e-33ff-4686-bbb8-4d58374d239f"],

Cell[BoxData["44263406458183601052293529600000"], "Output",
 CellChangeTimes->{{3.790686196185197*^9, 3.790686228175531*^9}},
 CellLabel->
  "Out[226]=",ExpressionUUID->"0d50940b-c5f5-44ca-810a-714e1ad8f681"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"Plot", "[", 
  RowBox[{
   RowBox[{
    RowBox[{"tmp", "[", "x", "]"}], "x"}], ",", 
   RowBox[{"{", 
    RowBox[{"x", ",", "0", ",", "50"}], "}"}], ",", 
   RowBox[{"PlotRange", "\[Rule]", 
    RowBox[{"{", 
     RowBox[{
      RowBox[{"{", 
       RowBox[{"0", ",", "10"}], "}"}], ",", "All"}], "}"}]}]}], 
  "]"}]], "Input",
 CellChangeTimes->{{3.7906858407227783`*^9, 3.790685870177423*^9}, {
  3.7906864361879272`*^9, 3.790686445075185*^9}},
 CellLabel->
  "In[227]:=",ExpressionUUID->"8272a1c8-4c17-4097-8634-a997066bf642"],

Cell[BoxData[
 GraphicsBox[{{{}, {}, 
    TagBox[
     {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[
      1.], LineBox[CompressedData["
1:eJwl2Xc81d//AHApGkb23mSXdW3XfeFyb8q1JVuZoYyEkjSVkETJFiLJCn2M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       "]]},
     Annotation[#, "Charting`Private`Tag$62295#1"]& ]}, {}},
  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{0, Automatic},
  DisplayFunction->Identity,
  Frame->{{False, False}, {False, False}},
  FrameLabel->{{None, None}, {None, None}},
  FrameTicks->{{Automatic, 
     Charting`ScaledFrameTicks[{Identity, Identity}]}, {Automatic, 
     Charting`ScaledFrameTicks[{Identity, Identity}]}},
  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}, All},
  PlotRangeClipping->True,
  PlotRangePadding->{{0, 0}, {
     Scaled[0.05], 
     Scaled[0.05]}},
  Ticks->{Automatic, Automatic}]], "Output",
 CellChangeTimes->{3.790686445298112*^9},
 CellLabel->
  "Out[227]=",ExpressionUUID->"6ff7dd61-33ec-4b7b-bbe0-cb1daa8344fc"]
}, Open  ]],

Cell[BoxData[{
 RowBox[{
  RowBox[{"\[Rho]8", "=", 
   RowBox[{"sample8", "[", 
    RowBox[{
     RowBox[{"Thread", "[", 
      RowBox[{"{", 
       RowBox[{"#\[Beta]s", ",", 
        RowBox[{"5000", 
         RowBox[{
          RowBox[{"#\[Rho]s", "[", 
           RowBox[{"[", 
            RowBox[{"All", ",", "5001"}], "]"}], "]"}], "/", 
          RowBox[{"Sqrt", "@", "#n"}]}]}]}], "}"}], "]"}], "&"}], "]"}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"\[Rho]12", "=", 
   RowBox[{"sample12", "[", 
    RowBox[{
     RowBox[{"Thread", "[", 
      RowBox[{"{", 
       RowBox[{"#\[Beta]s", ",", 
        RowBox[{"5000", 
         RowBox[{
          RowBox[{"#\[Rho]s", "[", 
           RowBox[{"[", 
            RowBox[{"All", ",", "5001"}], "]"}], "]"}], "/", 
          RowBox[{"Sqrt", "@", "#n"}]}]}]}], "}"}], "]"}], "&"}], "]"}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"\[Rho]16", "=", 
   RowBox[{"sample16", "[", 
    RowBox[{
     RowBox[{"Thread", "[", 
      RowBox[{"{", 
       RowBox[{"#\[Beta]s", ",", 
        RowBox[{"5000", 
         RowBox[{
          RowBox[{"#\[Rho]s", "[", 
           RowBox[{"[", 
            RowBox[{"All", ",", "5001"}], "]"}], "]"}], "/", 
          RowBox[{"Sqrt", "@", "#n"}]}]}]}], "}"}], "]"}], "&"}], "]"}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"\[Rho]20", "=", 
   RowBox[{"sample20", "[", 
    RowBox[{
     RowBox[{"Thread", "[", 
      RowBox[{"{", 
       RowBox[{"#\[Beta]s", ",", 
        RowBox[{"5000", 
         RowBox[{
          RowBox[{"#\[Rho]s", "[", 
           RowBox[{"[", 
            RowBox[{"All", ",", "5001"}], "]"}], "]"}], "/", 
          RowBox[{"Sqrt", "@", "#n"}]}]}]}], "}"}], "]"}], "&"}], "]"}]}], 
  ";"}]}], "Input",
 CellChangeTimes->{{3.7905019043473682`*^9, 3.7905019700870667`*^9}, {
  3.790502002763351*^9, 3.790502012968639*^9}, {3.7905024679717703`*^9, 
  3.790502472800358*^9}, {3.790502738458009*^9, 3.790502748395129*^9}, {
  3.7905028635862017`*^9, 3.7905028895420027`*^9}},
 CellLabel->"In[36]:=",ExpressionUUID->"49fe8588-a840-4740-82fd-06e6920b19de"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"ListLogPlot", "[", 
  RowBox[{
   RowBox[{"{", 
    RowBox[{"\[Rho]8", ",", "\[Rho]12", ",", "\[Rho]16"}], "}"}], ",", 
   RowBox[{"PlotRange", "\[Rule]", 
    RowBox[{"{", 
     RowBox[{
      RowBox[{"{", 
       RowBox[{"0", ",", "10"}], "}"}], ",", 
      RowBox[{"{", 
       RowBox[{"0.0001", ",", "0.5"}], "}"}]}], "}"}]}], ",", 
   RowBox[{"Joined", "\[Rule]", "True"}], ",", 
   RowBox[{"PlotLegends", "\[Rule]", 
    RowBox[{"{", 
     RowBox[{
      RowBox[{"n", "\[Equal]", "8"}], ",", 
      RowBox[{"n", "\[Equal]", "12"}], ",", 
      RowBox[{"n", "\[Equal]", "16"}]}], "}"}]}], ",", 
   RowBox[{"AxesLabel", "\[Rule]", 
    RowBox[{"{", 
     RowBox[{"\[Beta]", ",", 
      RowBox[{
       SubscriptBox["\[Rho]", "0"], "[", "\[Beta]", "]"}]}], "}"}]}]}], 
  "]"}]], "Input",
 CellChangeTimes->{{3.790501877407139*^9, 3.790501891324082*^9}, {
  3.790501974222625*^9, 3.7905020566343613`*^9}, {3.7905026457917023`*^9, 
  3.790502688930539*^9}, {3.79050273258263*^9, 3.790502736403462*^9}, {
  3.790502791574119*^9, 3.790502816300976*^9}, {3.7905029000440617`*^9, 
  3.790502900230397*^9}},
 CellLabel->"In[40]:=",ExpressionUUID->"63c8922f-d24e-46ca-a537-602acfdc4822"],

Cell[BoxData[
 TemplateBox[{GraphicsBox[{{}, {{{}, {}, {
        Hue[0.67, 0.6, 0.6], 
        Directive[
         PointSize[0.009166666666666668], 
         RGBColor[0.368417, 0.506779, 0.709798], 
         AbsoluteThickness[1.6]], 
        LineBox[CompressedData["
1:eJwBEQPu/CFib1JlAgAAADAAAAACAAAA/Knx0k1iUD9Kyvf2hGjwv6Hgvf5/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         "]]}, {
        Hue[0.9060679774997897, 0.6, 0.6], 
        Directive[
         PointSize[0.009166666666666668], 
         RGBColor[0.880722, 0.611041, 0.142051], 
         AbsoluteThickness[1.6]], 
        LineBox[CompressedData["
1:eJwBIQXe+iFib1JlAgAAAFEAAAACAAAA/Knx0k1iUD/IIVFX4Irvv5maqbXV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         "]]}, {
        Hue[0.1421359549995791, 0.6, 0.6], 
        Directive[
         PointSize[0.009166666666666668], 
         RGBColor[0.560181, 0.691569, 0.194885], 
         AbsoluteThickness[1.6]], 
        LineBox[CompressedData["
1:eJwBIQPe/CFib1JlAgAAADEAAAACAAAA/Knx0k1iUD99aEmv8fvuvxLZB1kW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         "]]}}, {{
        Directive[
         PointSize[0.009166666666666668], 
         RGBColor[0.368417, 0.506779, 0.709798], 
         AbsoluteThickness[1.6]]}, {
        Directive[
         PointSize[0.009166666666666668], 
         RGBColor[0.880722, 0.611041, 0.142051], 
         AbsoluteThickness[1.6]]}, {
        Directive[
         PointSize[0.009166666666666668], 
         RGBColor[0.560181, 0.691569, 0.194885], 
         AbsoluteThickness[1.6]]}}, {{
        Directive[
         PointSize[0.009166666666666668], 
         RGBColor[0.368417, 0.506779, 0.709798], 
         AbsoluteThickness[1.6]]}, {
        Directive[
         PointSize[0.009166666666666668], 
         RGBColor[0.880722, 0.611041, 0.142051], 
         AbsoluteThickness[1.6]]}, {
        Directive[
         PointSize[0.009166666666666668], 
         RGBColor[0.560181, 0.691569, 0.194885], 
         AbsoluteThickness[1.6]]}, {}, {}, {}, {}, {}, {}, {}}, {{
        Directive[
         PointSize[0.009166666666666668], 
         RGBColor[0.368417, 0.506779, 0.709798], 
         AbsoluteThickness[1.6]]}, {
        Directive[
         PointSize[0.009166666666666668], 
         RGBColor[0.880722, 0.611041, 0.142051], 
         AbsoluteThickness[1.6]]}, {
        Directive[
         PointSize[0.009166666666666668], 
         RGBColor[0.560181, 0.691569, 0.194885], 
         AbsoluteThickness[1.6]]}, {}, {}, {}, {}, {}, {}, {}}}, {{}, {}}}, {
    DisplayFunction -> Identity, GridLines -> {None, None}, DisplayFunction -> 
     Identity, DisplayFunction -> Identity, DisplayFunction -> Identity, 
     DisplayFunction -> Identity, AspectRatio -> 
     NCache[GoldenRatio^(-1), 0.6180339887498948], Axes -> {True, True}, 
     AxesLabel -> {
       FormBox["\[Beta]", TraditionalForm], 
       FormBox[
        RowBox[{
          SubscriptBox["\[Rho]", "0"], "(", "\[Beta]", ")"}], 
        TraditionalForm]}, AxesOrigin -> {0, -9.210340371976182}, 
     DisplayFunction :> Identity, Frame -> {{False, False}, {False, False}}, 
     FrameLabel -> {{None, None}, {None, None}}, FrameTicks -> {{
        Charting`ScaledTicks[{Log, Exp}], 
        Charting`ScaledFrameTicks[{Log, Exp}]}, {Automatic, Automatic}}, 
     GridLines -> {None, None}, GridLinesStyle -> Directive[
       GrayLevel[0.5, 0.4]], 
     Method -> {
      "OptimizePlotMarkers" -> True, 
       "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
           (Identity[#]& )[
            Part[#, 1]], 
           (Exp[#]& )[
            Part[#, 2]]}& ), "CopiedValueFunction" -> ({
           (Identity[#]& )[
            Part[#, 1]], 
           (Exp[#]& )[
            Part[#, 2]]}& )}}, 
     PlotRange -> {{0, 10}, {-9.210340371976182, -0.6931471805599453}}, 
     PlotRangeClipping -> True, PlotRangePadding -> {{0, 0}, {0, 0}}, 
     Ticks -> {Automatic, 
       Charting`ScaledTicks[{Log, Exp}]}}],FormBox[
    FormBox[
     TemplateBox[{
       RowBox[{"n", "\[LongEqual]", "8"}], 
       RowBox[{"n", "\[LongEqual]", "12"}], 
       RowBox[{"n", "\[LongEqual]", "16"}]}, "PointLegend", 
      DisplayFunction -> (FormBox[
        StyleBox[
         StyleBox[
          PaneBox[
           TagBox[
            GridBox[{{
               TagBox[
                GridBox[{{
                   GraphicsBox[{{
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[0.5], 
                    RGBColor[0.368417, 0.506779, 0.709798], 
                    AbsoluteThickness[1.6]], {
                    LineBox[{{0, 10}, {20, 10}}]}}, {
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[0.5], 
                    RGBColor[0.368417, 0.506779, 0.709798], 
                    AbsoluteThickness[1.6]], {}}}, AspectRatio -> Full, 
                    ImageSize -> {20, 10}, PlotRangePadding -> None, 
                    ImagePadding -> Automatic, 
                    BaselinePosition -> (Scaled[0.1] -> Baseline)], #}, {
                   GraphicsBox[{{
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[0.5], 
                    RGBColor[0.880722, 0.611041, 0.142051], 
                    AbsoluteThickness[1.6]], {
                    LineBox[{{0, 10}, {20, 10}}]}}, {
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[0.5], 
                    RGBColor[0.880722, 0.611041, 0.142051], 
                    AbsoluteThickness[1.6]], {}}}, AspectRatio -> Full, 
                    ImageSize -> {20, 10}, PlotRangePadding -> None, 
                    ImagePadding -> Automatic, 
                    BaselinePosition -> (Scaled[0.1] -> Baseline)], #2}, {
                   GraphicsBox[{{
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[0.5], 
                    RGBColor[0.560181, 0.691569, 0.194885], 
                    AbsoluteThickness[1.6]], {
                    LineBox[{{0, 10}, {20, 10}}]}}, {
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[0.5], 
                    RGBColor[0.560181, 0.691569, 0.194885], 
                    AbsoluteThickness[1.6]], {}}}, AspectRatio -> Full, 
                    ImageSize -> {20, 10}, PlotRangePadding -> None, 
                    ImagePadding -> Automatic, 
                    BaselinePosition -> (Scaled[0.1] -> Baseline)], #3}}, 
                 GridBoxAlignment -> {
                  "Columns" -> {Center, Left}, "Rows" -> {{Baseline}}}, 
                 AutoDelete -> False, 
                 GridBoxDividers -> {
                  "Columns" -> {{False}}, "Rows" -> {{False}}}, 
                 GridBoxItemSize -> {"Columns" -> {{All}}, "Rows" -> {{All}}},
                  GridBoxSpacings -> {
                  "Columns" -> {{0.5}}, "Rows" -> {{0.8}}}], "Grid"]}}, 
             GridBoxAlignment -> {"Columns" -> {{Left}}, "Rows" -> {{Top}}}, 
             AutoDelete -> False, 
             GridBoxItemSize -> {
              "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, 
             GridBoxSpacings -> {"Columns" -> {{1}}, "Rows" -> {{0}}}], 
            "Grid"], Alignment -> Left, AppearanceElements -> None, 
           ImageMargins -> {{5, 5}, {5, 5}}, ImageSizeAction -> 
           "ResizeToFit"], LineIndent -> 0, StripOnInput -> False], {
         FontFamily -> "Arial"}, Background -> Automatic, StripOnInput -> 
         False], TraditionalForm]& ), 
      InterpretationFunction :> (RowBox[{"PointLegend", "[", 
         RowBox[{
           RowBox[{"{", 
             RowBox[{
               RowBox[{"Directive", "[", 
                 RowBox[{
                   RowBox[{"PointSize", "[", "0.009166666666666668`", "]"}], 
                   ",", 
                   InterpretationBox[
                    ButtonBox[
                    TooltipBox[
                    GraphicsBox[{{
                    GrayLevel[0], 
                    RectangleBox[{0, 0}]}, {
                    GrayLevel[0], 
                    RectangleBox[{1, -1}]}, {
                    RGBColor[0.368417, 0.506779, 0.709798], 
                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
                    FrameStyle -> 
                    RGBColor[
                    0.24561133333333335`, 0.3378526666666667, 
                    0.4731986666666667], FrameTicks -> None, PlotRangePadding -> 
                    None, ImageSize -> 
                    Dynamic[{
                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
                    AbsoluteCurrentValue[Magnification]}]], 
                    StyleBox[
                    RowBox[{"RGBColor", "[", 
                    RowBox[{"0.368417`", ",", "0.506779`", ",", "0.709798`"}],
                     "]"}], NumberMarks -> False]], Appearance -> None, 
                    BaseStyle -> {}, BaselinePosition -> Baseline, 
                    DefaultBaseStyle -> {}, ButtonFunction :> 
                    With[{Typeset`box$ = EvaluationBox[]}, 
                    If[
                    Not[
                    AbsoluteCurrentValue["Deployed"]], 
                    SelectionMove[Typeset`box$, All, Expression]; 
                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
                    FrontEnd`Private`$ColorSelectorInitialColor = 
                    RGBColor[0.368417, 0.506779, 0.709798]; 
                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
                    MathLink`CallFrontEnd[
                    FrontEnd`AttachCell[Typeset`box$, 
                    FrontEndResource["RGBColorValueSelector"], {
                    0, {Left, Bottom}}, {Left, Top}, 
                    "ClosingActions" -> {
                    "SelectionDeparture", "ParentChanged", 
                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
                    Automatic, Method -> "Preemptive"], 
                    RGBColor[0.368417, 0.506779, 0.709798], Editable -> False,
                     Selectable -> False], ",", 
                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}], 
               ",", 
               RowBox[{"Directive", "[", 
                 RowBox[{
                   RowBox[{"PointSize", "[", "0.009166666666666668`", "]"}], 
                   ",", 
                   InterpretationBox[
                    ButtonBox[
                    TooltipBox[
                    GraphicsBox[{{
                    GrayLevel[0], 
                    RectangleBox[{0, 0}]}, {
                    GrayLevel[0], 
                    RectangleBox[{1, -1}]}, {
                    RGBColor[0.880722, 0.611041, 0.142051], 
                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
                    FrameStyle -> 
                    RGBColor[
                    0.587148, 0.40736066666666665`, 0.09470066666666668], 
                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
                    Dynamic[{
                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
                    AbsoluteCurrentValue[Magnification]}]], 
                    StyleBox[
                    RowBox[{"RGBColor", "[", 
                    RowBox[{"0.880722`", ",", "0.611041`", ",", "0.142051`"}],
                     "]"}], NumberMarks -> False]], Appearance -> None, 
                    BaseStyle -> {}, BaselinePosition -> Baseline, 
                    DefaultBaseStyle -> {}, ButtonFunction :> 
                    With[{Typeset`box$ = EvaluationBox[]}, 
                    If[
                    Not[
                    AbsoluteCurrentValue["Deployed"]], 
                    SelectionMove[Typeset`box$, All, Expression]; 
                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
                    FrontEnd`Private`$ColorSelectorInitialColor = 
                    RGBColor[0.880722, 0.611041, 0.142051]; 
                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
                    MathLink`CallFrontEnd[
                    FrontEnd`AttachCell[Typeset`box$, 
                    FrontEndResource["RGBColorValueSelector"], {
                    0, {Left, Bottom}}, {Left, Top}, 
                    "ClosingActions" -> {
                    "SelectionDeparture", "ParentChanged", 
                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
                    Automatic, Method -> "Preemptive"], 
                    RGBColor[0.880722, 0.611041, 0.142051], Editable -> False,
                     Selectable -> False], ",", 
                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}], 
               ",", 
               RowBox[{"Directive", "[", 
                 RowBox[{
                   RowBox[{"PointSize", "[", "0.009166666666666668`", "]"}], 
                   ",", 
                   InterpretationBox[
                    ButtonBox[
                    TooltipBox[
                    GraphicsBox[{{
                    GrayLevel[0], 
                    RectangleBox[{0, 0}]}, {
                    GrayLevel[0], 
                    RectangleBox[{1, -1}]}, {
                    RGBColor[0.560181, 0.691569, 0.194885], 
                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
                    FrameStyle -> 
                    RGBColor[
                    0.37345400000000006`, 0.461046, 0.12992333333333334`], 
                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
                    Dynamic[{
                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
                    AbsoluteCurrentValue[Magnification]}]], 
                    StyleBox[
                    RowBox[{"RGBColor", "[", 
                    RowBox[{"0.560181`", ",", "0.691569`", ",", "0.194885`"}],
                     "]"}], NumberMarks -> False]], Appearance -> None, 
                    BaseStyle -> {}, BaselinePosition -> Baseline, 
                    DefaultBaseStyle -> {}, ButtonFunction :> 
                    With[{Typeset`box$ = EvaluationBox[]}, 
                    If[
                    Not[
                    AbsoluteCurrentValue["Deployed"]], 
                    SelectionMove[Typeset`box$, All, Expression]; 
                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
                    FrontEnd`Private`$ColorSelectorInitialColor = 
                    RGBColor[0.560181, 0.691569, 0.194885]; 
                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
                    MathLink`CallFrontEnd[
                    FrontEnd`AttachCell[Typeset`box$, 
                    FrontEndResource["RGBColorValueSelector"], {
                    0, {Left, Bottom}}, {Left, Top}, 
                    "ClosingActions" -> {
                    "SelectionDeparture", "ParentChanged", 
                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
                    Automatic, Method -> "Preemptive"], 
                    RGBColor[0.560181, 0.691569, 0.194885], Editable -> False,
                     Selectable -> False], ",", 
                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}]}],
              "}"}], ",", 
           RowBox[{"{", 
             RowBox[{#, ",", #2, ",", #3}], "}"}], ",", 
           RowBox[{"LegendMarkers", "\[Rule]", 
             RowBox[{"{", 
               RowBox[{
                 RowBox[{"{", 
                   RowBox[{"False", ",", "Automatic"}], "}"}], ",", 
                 RowBox[{"{", 
                   RowBox[{"False", ",", "Automatic"}], "}"}], ",", 
                 RowBox[{"{", 
                   RowBox[{"False", ",", "Automatic"}], "}"}]}], "}"}]}], ",", 
           RowBox[{"Joined", "\[Rule]", 
             RowBox[{"{", 
               RowBox[{"True", ",", "True", ",", "True"}], "}"}]}], ",", 
           RowBox[{"LabelStyle", "\[Rule]", 
             RowBox[{"{", "}"}]}], ",", 
           RowBox[{"LegendLayout", "\[Rule]", "\"Column\""}]}], "]"}]& ), 
      Editable -> True], TraditionalForm], TraditionalForm]},
  "Legended",
  DisplayFunction->(GridBox[{{
      TagBox[
       ItemBox[
        PaneBox[
         TagBox[#, "SkipImageSizeLevel"], Alignment -> {Center, Baseline}, 
         BaselinePosition -> Baseline], DefaultBaseStyle -> "Labeled"], 
       "SkipImageSizeLevel"], 
      ItemBox[#2, DefaultBaseStyle -> "LabeledLabel"]}}, 
    GridBoxAlignment -> {"Columns" -> {{Center}}, "Rows" -> {{Center}}}, 
    AutoDelete -> False, GridBoxItemSize -> Automatic, 
    BaselinePosition -> {1, 1}]& ),
  Editable->True,
  InterpretationFunction->(RowBox[{"Legended", "[", 
     RowBox[{#, ",", 
       RowBox[{"Placed", "[", 
         RowBox[{#2, ",", "After"}], "]"}]}], "]"}]& )]], "Output",
 CellChangeTimes->{{3.790501975959618*^9, 3.7905020568911247`*^9}, 
   3.79050247396424*^9, {3.790502647200412*^9, 3.790502689232744*^9}, 
   3.790502749273424*^9, {3.790502792035192*^9, 3.790502816523964*^9}, {
   3.790502872347569*^9, 3.790502900553187*^9}, 3.7906808091204977`*^9},
 CellLabel->"Out[40]=",ExpressionUUID->"e31e8467-ff32-46ec-80d5-174702afc3f4"]
}, Open  ]],

Cell[BoxData[{
 RowBox[{
  RowBox[{"E8", "=", 
   RowBox[{"sample8", "[", 
    RowBox[{
     RowBox[{"Thread", "[", 
      RowBox[{"{", 
       RowBox[{"#\[Beta]s", ",", 
        RowBox[{"#Es", "/", 
         SuperscriptBox["#n", "2"]}]}], "}"}], "]"}], "&"}], "]"}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"E12", "=", 
   RowBox[{"sample12", "[", 
    RowBox[{
     RowBox[{"Thread", "[", 
      RowBox[{"{", 
       RowBox[{"#\[Beta]s", ",", 
        RowBox[{"#Es", "/", 
         SuperscriptBox["#n", "2"]}]}], "}"}], "]"}], "&"}], "]"}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"E16", "=", 
   RowBox[{"sample16", "[", 
    RowBox[{
     RowBox[{"Thread", "[", 
      RowBox[{"{", 
       RowBox[{"#\[Beta]s", ",", 
        RowBox[{"#Es", "/", 
         SuperscriptBox["#n", "2"]}]}], "}"}], "]"}], "&"}], "]"}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"E20", "=", 
   RowBox[{"sample20", "[", 
    RowBox[{
     RowBox[{"Thread", "[", 
      RowBox[{"{", 
       RowBox[{"#\[Beta]s", ",", 
        RowBox[{"#Es", "/", 
         SuperscriptBox["#n", "2"]}]}], "}"}], "]"}], "&"}], "]"}]}], 
  ";"}]}], "Input",
 CellChangeTimes->{{3.7905019043473682`*^9, 3.7905019700870667`*^9}, {
  3.790502002763351*^9, 3.790502012968639*^9}, {3.7905021289101*^9, 
  3.7905021961735163`*^9}, {3.790502479326455*^9, 3.7905024854037313`*^9}},
 CellLabel->"In[41]:=",ExpressionUUID->"666e65f1-8d79-40dc-9b3a-fee9e9d2fc06"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"ListPlot", "[", 
  RowBox[{
   RowBox[{"{", 
    RowBox[{"E8", ",", "E12", ",", "E16"}], "}"}], ",", 
   RowBox[{"PlotRange", "\[Rule]", 
    RowBox[{"{", 
     RowBox[{
      RowBox[{"{", 
       RowBox[{"0", ",", "10"}], "}"}], ",", "All"}], "}"}]}], ",", 
   RowBox[{"Joined", "\[Rule]", "True"}], ",", 
   RowBox[{"PlotLegends", "\[Rule]", 
    RowBox[{"{", 
     RowBox[{
      RowBox[{"n", "\[Equal]", "8"}], ",", 
      RowBox[{"n", "\[Equal]", "12"}], ",", 
      RowBox[{"n", "\[Equal]", "16"}]}], "}"}]}], ",", 
   RowBox[{"AxesLabel", "\[Rule]", 
    RowBox[{"{", 
     RowBox[{"\[Beta]", ",", 
      RowBox[{"e", "[", "\[Beta]", "]"}]}], "}"}]}]}], "]"}]], "Input",
 CellChangeTimes->{{3.790501877407139*^9, 3.790501891324082*^9}, {
  3.790501974222625*^9, 3.7905020566343613`*^9}, {3.790502159523988*^9, 
  3.790502162452405*^9}, {3.7905026513955193`*^9, 3.790502656361638*^9}, {
  3.790502718545635*^9, 3.79050272132894*^9}},
 CellLabel->"In[45]:=",ExpressionUUID->"fdefbdb5-3432-48a1-ab56-2911aa735797"],

Cell[BoxData[
 TemplateBox[{GraphicsBox[{{}, {{{}, {}, {
        Hue[0.67, 0.6, 0.6], 
        Directive[
         PointSize[0.007333333333333334], 
         RGBColor[0.368417, 0.506779, 0.709798], 
         AbsoluteThickness[1.6]], 
        LineBox[CompressedData["
1:eJwtlQs0VfkXx2/+7vXI5JUQKSKh8kqJy91X3klGYZpQeUTGaKKH6jYqChlN
KMoqSYnSXw+v5LFDUd70uAhJUe7rh2gQNccsZ62zzvqs31r77PPd3+8+mn77
3APFaDTaCeqefU7fHmnf7OfGuhTK7PDz4OH1vorvUf8cYVU9O7vYxYuHsv0L
gzxpF1l5B/vDy715mKtJv9P1Io/1OXTe9fFgHjaJ15SeUR1gqZpnZhus4KNx
6lBaXAmP1Z7jMRa7jY/znjwIahkQsnpppu+qfudjvv63fMk/R1iSHxUcNC7w
8Yza8ORu8TFWW8PK1B2P+Dhlm6HtU/CVFX7T1Gi0m49/LjEPsh2aZG3u1o87
yRCgw4u8CJnn06xj4yOth/UE+JQ/RS97/5119bSVcJgtwDf9W2l/5dBAcXfN
SwMfAfKfubkW8ufB29ODFomRAow9u//7im3/g7GplInuiwI8aZ2k68QVh606
9b3uhQJcG/z5Wp8WA5bsf85obxKgeYy+2bFMCUi4PabYzBPgkaEVxpKhUnB9
j6PSs5+EWPXD86H/B2mQ+n1DWr++EE8lKJldYshAt0Jpn4yNEA0T4pvqxmXg
a1pPSqyHEL3N5ZLpjQtgJm7ngzPHheiYk89JlZCDqZf2By3Shegf1Wl15JIc
nLXs/VhSKMTKr43JNDN5sHzKCh1qE2LGMdk0da48eCja9kgMCzFExVrrVoAC
oPRwz6CUCB/Kx3HHDRSh8BD1xatE+CPy3q+XhxXhNdPhY5mLCA+/CStrLV8I
NeMrvf8OEWFxUKp4rpMS/MEPy+BxRHjduUkjmL4IPH4ur+9KFqEzUdt5jKEM
Lh+UfZ3uipDzuj5mp7QKcN1CDLOqRLg9bK+ZtkgFYk65F4a3ifD+364+k42q
4FnqNsntnTtvXgxMY2oSAhHeKWEUO8upgw6Pfm1wSoSLE24VpLCXQHpL6dtx
BsGFrNruohgNoLsWn7RUIBg2axDNZeAbXTn2dSnBuDW5+y6/XAZJMhuKM/QI
LvpvAJqwK99ufqsRwW212PJITgu2h6acrTUnOLRr5lqNQAuSvb9vnGITnJX7
04PlkJd64EK0E8FsV8oq/trgZxR1unELwa30G8kWbB1YGnOCI+VFsDmuvbdv
0wrwikxLmPAlmH74StZyVV2I56S5pwUQVBxlt+wp0gV7nYNi6cEEK9xTNc8p
rQR79vDE1xCCTZaubUlMPZhe9zSyaT/BycygAp6pAcjvj9BX5RDULp2OHbNc
BSFTghP8EwR9Nz2XsHq7Cv7R6jp3O5pgSRutV8xpDWgXDnifjaf6P1KnZxFu
CMuDG7V5iQSNL+urXBQ3gmrjhgzx8wQPpqiIe1obgUfFtGtKEsHHTjJiBjlG
oNvJC3e+QPDFAOvmO2tj0LE+fGomjaCR/m3F1kJjUIqQO1CYTrDu8aNEBphA
5ZqaqMdXCZbpys4vKjaBmTPxDL1Mgj1FMZzWFFM4ukFQ6X+TYP/QxYcy8mvB
KqA+NvPWXH+n1kLLjf4f53IJqnN2m3gsM4NgxsjJJXkE3RLTwhRemkHA0Ebl
V/8n+K5vfsptv3VwY3un9cd7BCXvqv8akLcOJOnZwQP3CbJH/Bt9DNbD5aix
zekPCf7lzBNfm7QevnwwXM0roPxxY1453cQcNh0KFe8vIsik5PauNIct9y4E
xpUQvFyWel7WYgNIjxYk8R8RnFaJ4CpUb4BOtk6+/2OCZr6UQlkW0BN5OOBu
OcGdEs2qPy+2hNPLHbM7KghGBCcJOVGWcAltBusrCcpeMc0qlGBCkdrxRokn
BIu/zLyKjGcCryl3Ur+KYH7HzkNbRExIiPMbZVQTFDOIXdQZZgXjnfO4SjUE
cQFV4KkVaNsF/PKM4kdwqr/O0RpWS7ltbXhKMJ6y2/wP1sDd8mP7l2cESxMZ
w4vMWZBWa1ieXEtQIbuiSrmYBRw9ZvChOoKz7axXAXAzLytyeU6dzwbICuDK
wkGrZopDyg+kqBwA+PS83jD6BcGr8lSBFgCampxmfj3BdbMGlWJDWDZ3j38D
wdgcr3oTFzaUflNfurqR4PrFT3Ysi2dDX6dGxXuKnwgymKvK2WAZNtFzoIlg
3+rzmROqNmBSN5p/tJngWKjn8XxPG+Ddr169tIXgf3smywa2NMh6D1CcZ+21
48EnG9CYEnmmthJcMmtI3Y3gpnJh79o2Sn+9Brm68I3AiP5N9Lltbp61G2F2
7d5tJ0ibveRsgZ6lG+j+kmCgav8vyixb+DyuO1JKcQEvokgpwRbStZ4M+bwi
ODC6tH1fnS1o5G7V6KFYlyqjLm0HV6reGe55TdWfDaynHRTWu+ydoXiQikfl
OTsoGS7fFvqGIJUO244OO/Axa5GfpPiVAfXGlfZAN721K5FLUO0nSoFd9hCj
V589QrH5RHXAnfP2EBBBbdwOgpzR+26/VdvDsoKCz1cp3kTZV/67Paj565aL
dxJ0CJ+UHWI5wJ69OYPhFFN/rUDVZAfoYi6Inuycy+crB5hWlhQL6CIoMJxN
pCMEBX47X9I152dnR5D3au5VfUv5z+H90YVnHIGZZXMwguJ0SbUM3xeOcPMP
K2nu2zn9aE5wTE5sVKeb4L/nUiX8
         "]]}, {
        Hue[0.9060679774997897, 0.6, 0.6], 
        Directive[
         PointSize[0.007333333333333334], 
         RGBColor[0.880722, 0.611041, 0.142051], 
         AbsoluteThickness[1.6]], 
        LineBox[CompressedData["
1:eJwtVAk01fsTvyJbZb+urZBe11L2bOEOcl2lovcqCU/on0opeaHFmld/T6EI
aZHyL5Q1lKVRUpKIsqaiJO7y+8aLJMvjf96cM2fOzOecmTmfWTR9g7bsXkCj
0aLmdN5O5Y60bfR1ZY0wwzvpclzMuJRb1u4Wz1LdtWDrHkUu5vBtZdtzilj0
0NwZfR0uNrUs2dg9XMcimoYWyOHiG+fyystyrSznBhXx3gNc/M3KffaLYTfL
/MWWLuOLXKygBnOlHvSxbF3+TLGp4aJNu6Z53dkBlpTS47HuD1wsOhtWkqk8
xBr+T2B75gwXV5z0cIwM4LGyXGl+dio8hLf7OpQ/UKwzJY2/m5rxUPTqcek0
tRGWwcthoa2uPKz5pLD0+edRlmla0+Y1++dwl76Od9XfWMz3rh7f4njoUG8R
KR8/ztp0PfmC1TUeeiY+HtP2nGCFhqRH8Cp4GCjxI2uPySRLmxMYKv2Kh+tu
rD1zRWeKlbLpsQx3iIfVQ3ocE8UZ1nSNX88RGh/rbS7ahgjR4GCXUpEJg4/S
2pnBcd9pUNShEG64mo8HLNM+5o0KQbDv4ZABez5mmdNzDccXQMe1zpJEdz5a
nX8RyZkVBnHqxLmRA3wUF26pOb1oIRSE9jt0xfDROiuwkb5MFG4zAz5GpvHR
Z8feLZJWYlAnfJyrdoePKxz93et3ikNgTuYf/rV87E7Rq34RJwEJtY4KUW/4
OOgZn9/4UBKK6xcrtQ/xMWn/HAOzi8ApbmVX/xQf1b7+2HXKcAmcszsKm6QF
6CQctmhFgBRcDi+wjdIU4N0beRLZBdJgYefiM2MiwAtruJoqJ2Wgc0+k7Va2
AJ91Xt0hpyEL57wSC3XdBWhxXUbodJEsPJI7XKgaIMDPr5a//WErBxV5s3/6
hQnQZbo6l1MvBwVVDK26MwLMdiz/e9pUHg7l+Cpkpwkw0+aV5OIMeZiMVffx
/p8A9xkuqXMakAf3iUmPtBIBrv11qPqpvgKc08+fbUcBSnfMWjaFKoDDze3X
FzcLsE73fYN1iQJEX5rQ39YjwKiRxSqTXxSg4Gi97t5BAY56lxn3M+hgq/20
Jm9EgGOrj1SuYtMhSW9slfi0AFVd6r7KHqZDsvwTkUExCnf9VyxlYwYd3Nj5
1TvkKAzwtJA5X0+H/koafl9KYd78uXylQ4KxeIabDoXRtslMZ4YiJE03SmWb
UPhyuCS9y1oRFrKlVeJsKOw7ZS+i5qsIY/UqJ/WdKBQ1mJRsS1CE0MFcnHKj
sD21ZdT6viJwz9dybnpSqL/tjY/KoCJMrU8XC9lDoTTV3HOAwYAeuLUkJJhC
evIuetA6BjT0xdPGj1Mo9/jGWa2jDLBDvdaqOArDhcZbc/MZUFZ1Xy8ykcL0
2rtV4VwGyEZ2xX7JoPD2JyPhVCMlOC0/2b7/5r/9xShBxYTrSH8BhZ42zJqg
XiU44SiqKv+AwlIS3xe5QRksJIMTSusoVN42wh5sVQb+VMOliGYKL5tk3zMP
U4GFuSWlGd0Uzk/LzUYVplq9ZjMHKKQV+D9ja6iBj/qs3RFCod7cuEaZS4Ev
XvkqaJJCbWbPVo7lMnhffdchTYTgB+NbL3x91YGzrVLyLymC7OLetn0cDfis
KRLzhEFw91w27y8akJPuVHhTg2Bw/LmB0URNqCxlqrN1CGr4UR72tsshoLD3
YrgRwTGZs5TG+HLoXJgrdMiSYG710v57tVpwRnh9ZIQdwRG/Jq8NZ1bAnRD/
tiYOwU65UbsW9i/gKS7z3G4zQf1Zzelx+koY22gR+WQrwfii/uHU0ZWQnO7W
aOBJkCtiKmvWywTmN0/VcF+C7RIBywO7tMF796KmqgCCy24NcfQ/6IBWccWt
hwcJmuXbbt/ZqgtW6byJviMEnecLdOhBWe/PJNFwgiq1OzXsRlaBXXDKhF7E
nO/Wo3pCSB+eVe5tfRpDsM4/z+c3OQPozDymrHCaYOLAqHqbuiHkmHnfiviL
4KklmwtT6g2hb2z995lEgm77L4Ve9jWCaOnhgL8vEJz49VNOpogx5EUpMzCN
4PrjsQYu5cZwP6Vv8komQdb2ncUYaAKB5o/MN14jqDee9u4CwxRU0l73xGYT
HNo3F3lpCh7ql3TLcwh+dGdUtCatASHLWauh2wRD2CnjopvNoF9Ka7A5n6DW
2x8R+xabQ49peWdMAcGwYzmrHHrN4dDra9OcYoLEwtEp+IEFHJaTOihxj6DO
/INOt4RQiSKR6+UEDauY0ov+sIJoz48Nwg8I+nv1soXd14KkVexP1yqCe2lB
0SKO1mAi9NM8uYZgsvQxs3x9G2iti9bPQYLNynMErrIFqwHG1KNHc3zNv38D
FliH0a4+qyOYZBS6WlMdoNPLv/RRPUGjDF2l1JsA5ofEuCnPCGpHJDzYr2MH
Cb/33HF+TnAeflNsB3eCvxaQRoKl3CNldAd7cPVf/i21iSBKzV1Ekz28Xpu1
VKqZ4NPeslMnAhyAmSrseq2FoPgdNQ//nw7wOUjUULiVYKyb85Woi+tg02dF
g91tBL03NIjZ6DnC9y7NwpzXBLNUDN6teOgID2NM/VrfEPQ6UD9TspMN91ut
W4Q6/t3/72y4EE9PU+8kOFjwy0DsRSfYdb7C2biLoIMa76OZPQcCfDS2u3QT
pP1fnMHQs18quIfgP7J2EnM=
         "]]}, {
        Hue[0.1421359549995791, 0.6, 0.6], 
        Directive[
         PointSize[0.007333333333333334], 
         RGBColor[0.560181, 0.691569, 0.194885], 
         AbsoluteThickness[1.6]], 
        LineBox[CompressedData["
1:eJwdkHs41XccgF3Ok/tEnIs09yMkcxyzNnU+Dk/Oyp0eLG1GWlGK5LYNJSp3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         "]]}}, {{
        Directive[
         PointSize[0.007333333333333334], 
         RGBColor[0.368417, 0.506779, 0.709798], 
         AbsoluteThickness[1.6]]}, {
        Directive[
         PointSize[0.007333333333333334], 
         RGBColor[0.880722, 0.611041, 0.142051], 
         AbsoluteThickness[1.6]]}, {
        Directive[
         PointSize[0.007333333333333334], 
         RGBColor[0.560181, 0.691569, 0.194885], 
         AbsoluteThickness[1.6]]}}, {{
        Directive[
         PointSize[0.007333333333333334], 
         RGBColor[0.368417, 0.506779, 0.709798], 
         AbsoluteThickness[1.6]]}, {
        Directive[
         PointSize[0.007333333333333334], 
         RGBColor[0.880722, 0.611041, 0.142051], 
         AbsoluteThickness[1.6]]}, {
        Directive[
         PointSize[0.007333333333333334], 
         RGBColor[0.560181, 0.691569, 0.194885], 
         AbsoluteThickness[1.6]]}, {}, {}, {}, {}, {}, {}, {}}, {{
        Directive[
         PointSize[0.007333333333333334], 
         RGBColor[0.368417, 0.506779, 0.709798], 
         AbsoluteThickness[1.6]]}, {
        Directive[
         PointSize[0.007333333333333334], 
         RGBColor[0.880722, 0.611041, 0.142051], 
         AbsoluteThickness[1.6]]}, {
        Directive[
         PointSize[0.007333333333333334], 
         RGBColor[0.560181, 0.691569, 0.194885], 
         AbsoluteThickness[1.6]]}, {}, {}, {}, {}, {}, {}, {}}}, {{}, {}}}, {
    DisplayFunction -> Identity, DisplayFunction -> Identity, AspectRatio -> 
     NCache[GoldenRatio^(-1), 0.6180339887498948], Axes -> {True, True}, 
     AxesLabel -> {
       FormBox["\[Beta]", TraditionalForm], 
       FormBox[
        RowBox[{"e", "(", "\[Beta]", ")"}], TraditionalForm]}, 
     AxesOrigin -> {0, -0.8002006004774308}, 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]], 
     Method -> {
      "OptimizePlotMarkers" -> True, 
       "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
           (Identity[#]& )[
            Part[#, 1]], 
           (Identity[#]& )[
            Part[#, 2]]}& ), "CopiedValueFunction" -> ({
           (Identity[#]& )[
            Part[#, 1]], 
           (Identity[#]& )[
            Part[#, 2]]}& )}}, 
     PlotRange -> {{0, 10}, {-0.9956235625, -0.81048601953125}}, 
     PlotRangeClipping -> True, PlotRangePadding -> {{0, 0}, {
        Scaled[0.05], 
        Scaled[0.05]}}, Ticks -> {Automatic, Automatic}}],FormBox[
    FormBox[
     TemplateBox[{
       RowBox[{"n", "\[LongEqual]", "8"}], 
       RowBox[{"n", "\[LongEqual]", "12"}], 
       RowBox[{"n", "\[LongEqual]", "16"}]}, "PointLegend", 
      DisplayFunction -> (FormBox[
        StyleBox[
         StyleBox[
          PaneBox[
           TagBox[
            GridBox[{{
               TagBox[
                GridBox[{{
                   GraphicsBox[{{
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[0.5], 
                    RGBColor[0.368417, 0.506779, 0.709798], 
                    AbsoluteThickness[1.6]], {
                    LineBox[{{0, 10}, {20, 10}}]}}, {
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[0.5], 
                    RGBColor[0.368417, 0.506779, 0.709798], 
                    AbsoluteThickness[1.6]], {}}}, AspectRatio -> Full, 
                    ImageSize -> {20, 10}, PlotRangePadding -> None, 
                    ImagePadding -> Automatic, 
                    BaselinePosition -> (Scaled[0.1] -> Baseline)], #}, {
                   GraphicsBox[{{
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[0.5], 
                    RGBColor[0.880722, 0.611041, 0.142051], 
                    AbsoluteThickness[1.6]], {
                    LineBox[{{0, 10}, {20, 10}}]}}, {
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[0.5], 
                    RGBColor[0.880722, 0.611041, 0.142051], 
                    AbsoluteThickness[1.6]], {}}}, AspectRatio -> Full, 
                    ImageSize -> {20, 10}, PlotRangePadding -> None, 
                    ImagePadding -> Automatic, 
                    BaselinePosition -> (Scaled[0.1] -> Baseline)], #2}, {
                   GraphicsBox[{{
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[0.5], 
                    RGBColor[0.560181, 0.691569, 0.194885], 
                    AbsoluteThickness[1.6]], {
                    LineBox[{{0, 10}, {20, 10}}]}}, {
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[0.5], 
                    RGBColor[0.560181, 0.691569, 0.194885], 
                    AbsoluteThickness[1.6]], {}}}, AspectRatio -> Full, 
                    ImageSize -> {20, 10}, PlotRangePadding -> None, 
                    ImagePadding -> Automatic, 
                    BaselinePosition -> (Scaled[0.1] -> Baseline)], #3}}, 
                 GridBoxAlignment -> {
                  "Columns" -> {Center, Left}, "Rows" -> {{Baseline}}}, 
                 AutoDelete -> False, 
                 GridBoxDividers -> {
                  "Columns" -> {{False}}, "Rows" -> {{False}}}, 
                 GridBoxItemSize -> {"Columns" -> {{All}}, "Rows" -> {{All}}},
                  GridBoxSpacings -> {
                  "Columns" -> {{0.5}}, "Rows" -> {{0.8}}}], "Grid"]}}, 
             GridBoxAlignment -> {"Columns" -> {{Left}}, "Rows" -> {{Top}}}, 
             AutoDelete -> False, 
             GridBoxItemSize -> {
              "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, 
             GridBoxSpacings -> {"Columns" -> {{1}}, "Rows" -> {{0}}}], 
            "Grid"], Alignment -> Left, AppearanceElements -> None, 
           ImageMargins -> {{5, 5}, {5, 5}}, ImageSizeAction -> 
           "ResizeToFit"], LineIndent -> 0, StripOnInput -> False], {
         FontFamily -> "Arial"}, Background -> Automatic, StripOnInput -> 
         False], TraditionalForm]& ), 
      InterpretationFunction :> (RowBox[{"PointLegend", "[", 
         RowBox[{
           RowBox[{"{", 
             RowBox[{
               RowBox[{"Directive", "[", 
                 RowBox[{
                   RowBox[{"PointSize", "[", "0.007333333333333334`", "]"}], 
                   ",", 
                   InterpretationBox[
                    ButtonBox[
                    TooltipBox[
                    GraphicsBox[{{
                    GrayLevel[0], 
                    RectangleBox[{0, 0}]}, {
                    GrayLevel[0], 
                    RectangleBox[{1, -1}]}, {
                    RGBColor[0.368417, 0.506779, 0.709798], 
                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
                    FrameStyle -> 
                    RGBColor[
                    0.24561133333333335`, 0.3378526666666667, 
                    0.4731986666666667], FrameTicks -> None, PlotRangePadding -> 
                    None, ImageSize -> 
                    Dynamic[{
                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
                    AbsoluteCurrentValue[Magnification]}]], 
                    StyleBox[
                    RowBox[{"RGBColor", "[", 
                    RowBox[{"0.368417`", ",", "0.506779`", ",", "0.709798`"}],
                     "]"}], NumberMarks -> False]], Appearance -> None, 
                    BaseStyle -> {}, BaselinePosition -> Baseline, 
                    DefaultBaseStyle -> {}, ButtonFunction :> 
                    With[{Typeset`box$ = EvaluationBox[]}, 
                    If[
                    Not[
                    AbsoluteCurrentValue["Deployed"]], 
                    SelectionMove[Typeset`box$, All, Expression]; 
                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
                    FrontEnd`Private`$ColorSelectorInitialColor = 
                    RGBColor[0.368417, 0.506779, 0.709798]; 
                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
                    MathLink`CallFrontEnd[
                    FrontEnd`AttachCell[Typeset`box$, 
                    FrontEndResource["RGBColorValueSelector"], {
                    0, {Left, Bottom}}, {Left, Top}, 
                    "ClosingActions" -> {
                    "SelectionDeparture", "ParentChanged", 
                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
                    Automatic, Method -> "Preemptive"], 
                    RGBColor[0.368417, 0.506779, 0.709798], Editable -> False,
                     Selectable -> False], ",", 
                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}], 
               ",", 
               RowBox[{"Directive", "[", 
                 RowBox[{
                   RowBox[{"PointSize", "[", "0.007333333333333334`", "]"}], 
                   ",", 
                   InterpretationBox[
                    ButtonBox[
                    TooltipBox[
                    GraphicsBox[{{
                    GrayLevel[0], 
                    RectangleBox[{0, 0}]}, {
                    GrayLevel[0], 
                    RectangleBox[{1, -1}]}, {
                    RGBColor[0.880722, 0.611041, 0.142051], 
                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
                    FrameStyle -> 
                    RGBColor[
                    0.587148, 0.40736066666666665`, 0.09470066666666668], 
                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
                    Dynamic[{
                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
                    AbsoluteCurrentValue[Magnification]}]], 
                    StyleBox[
                    RowBox[{"RGBColor", "[", 
                    RowBox[{"0.880722`", ",", "0.611041`", ",", "0.142051`"}],
                     "]"}], NumberMarks -> False]], Appearance -> None, 
                    BaseStyle -> {}, BaselinePosition -> Baseline, 
                    DefaultBaseStyle -> {}, ButtonFunction :> 
                    With[{Typeset`box$ = EvaluationBox[]}, 
                    If[
                    Not[
                    AbsoluteCurrentValue["Deployed"]], 
                    SelectionMove[Typeset`box$, All, Expression]; 
                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
                    FrontEnd`Private`$ColorSelectorInitialColor = 
                    RGBColor[0.880722, 0.611041, 0.142051]; 
                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
                    MathLink`CallFrontEnd[
                    FrontEnd`AttachCell[Typeset`box$, 
                    FrontEndResource["RGBColorValueSelector"], {
                    0, {Left, Bottom}}, {Left, Top}, 
                    "ClosingActions" -> {
                    "SelectionDeparture", "ParentChanged", 
                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
                    Automatic, Method -> "Preemptive"], 
                    RGBColor[0.880722, 0.611041, 0.142051], Editable -> False,
                     Selectable -> False], ",", 
                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}], 
               ",", 
               RowBox[{"Directive", "[", 
                 RowBox[{
                   RowBox[{"PointSize", "[", "0.007333333333333334`", "]"}], 
                   ",", 
                   InterpretationBox[
                    ButtonBox[
                    TooltipBox[
                    GraphicsBox[{{
                    GrayLevel[0], 
                    RectangleBox[{0, 0}]}, {
                    GrayLevel[0], 
                    RectangleBox[{1, -1}]}, {
                    RGBColor[0.560181, 0.691569, 0.194885], 
                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
                    FrameStyle -> 
                    RGBColor[
                    0.37345400000000006`, 0.461046, 0.12992333333333334`], 
                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
                    Dynamic[{
                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
                    AbsoluteCurrentValue[Magnification]}]], 
                    StyleBox[
                    RowBox[{"RGBColor", "[", 
                    RowBox[{"0.560181`", ",", "0.691569`", ",", "0.194885`"}],
                     "]"}], NumberMarks -> False]], Appearance -> None, 
                    BaseStyle -> {}, BaselinePosition -> Baseline, 
                    DefaultBaseStyle -> {}, ButtonFunction :> 
                    With[{Typeset`box$ = EvaluationBox[]}, 
                    If[
                    Not[
                    AbsoluteCurrentValue["Deployed"]], 
                    SelectionMove[Typeset`box$, All, Expression]; 
                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
                    FrontEnd`Private`$ColorSelectorInitialColor = 
                    RGBColor[0.560181, 0.691569, 0.194885]; 
                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
                    MathLink`CallFrontEnd[
                    FrontEnd`AttachCell[Typeset`box$, 
                    FrontEndResource["RGBColorValueSelector"], {
                    0, {Left, Bottom}}, {Left, Top}, 
                    "ClosingActions" -> {
                    "SelectionDeparture", "ParentChanged", 
                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
                    Automatic, Method -> "Preemptive"], 
                    RGBColor[0.560181, 0.691569, 0.194885], Editable -> False,
                     Selectable -> False], ",", 
                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}]}],
              "}"}], ",", 
           RowBox[{"{", 
             RowBox[{#, ",", #2, ",", #3}], "}"}], ",", 
           RowBox[{"LegendMarkers", "\[Rule]", 
             RowBox[{"{", 
               RowBox[{
                 RowBox[{"{", 
                   RowBox[{"False", ",", "Automatic"}], "}"}], ",", 
                 RowBox[{"{", 
                   RowBox[{"False", ",", "Automatic"}], "}"}], ",", 
                 RowBox[{"{", 
                   RowBox[{"False", ",", "Automatic"}], "}"}]}], "}"}]}], ",", 
           RowBox[{"Joined", "\[Rule]", 
             RowBox[{"{", 
               RowBox[{"True", ",", "True", ",", "True"}], "}"}]}], ",", 
           RowBox[{"LabelStyle", "\[Rule]", 
             RowBox[{"{", "}"}]}], ",", 
           RowBox[{"LegendLayout", "\[Rule]", "\"Column\""}]}], "]"}]& ), 
      Editable -> True], TraditionalForm], TraditionalForm]},
  "Legended",
  DisplayFunction->(GridBox[{{
      TagBox[
       ItemBox[
        PaneBox[
         TagBox[#, "SkipImageSizeLevel"], Alignment -> {Center, Baseline}, 
         BaselinePosition -> Baseline], DefaultBaseStyle -> "Labeled"], 
       "SkipImageSizeLevel"], 
      ItemBox[#2, DefaultBaseStyle -> "LabeledLabel"]}}, 
    GridBoxAlignment -> {"Columns" -> {{Center}}, "Rows" -> {{Center}}}, 
    AutoDelete -> False, GridBoxItemSize -> Automatic, 
    BaselinePosition -> {1, 1}]& ),
  Editable->True,
  InterpretationFunction->(RowBox[{"Legended", "[", 
     RowBox[{#, ",", 
       RowBox[{"Placed", "[", 
         RowBox[{#2, ",", "After"}], "]"}]}], "]"}]& )]], "Output",
 CellChangeTimes->{{3.790501975959618*^9, 3.7905020568911247`*^9}, {
   3.790502162871426*^9, 3.790502197077286*^9}, 3.7905024866172*^9, {
   3.790502652323476*^9, 3.7905026569786167`*^9}, 3.790502722784449*^9, 
   3.790680810877782*^9},
 CellLabel->"Out[45]=",ExpressionUUID->"8893f64b-517b-443f-b85a-3a6f0281d005"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"ListPlot", "[", 
  RowBox[{
   RowBox[{"d", "[", 
    RowBox[{"All", ",", 
     RowBox[{
      RowBox[{"Thread", "[", 
       RowBox[{"{", 
        RowBox[{"#\[Beta]s", ",", 
         RowBox[{
          RowBox[{"Range", "[", "#N", "]"}], "/", 
          RowBox[{"Sqrt", "[", "#N", "]"}]}]}], "}"}], "]"}], "&"}]}], "]"}], 
   ",", 
   RowBox[{"Joined", "\[Rule]", "True"}]}], "]"}]], "Input",
 CellChangeTimes->{{3.789860752342498*^9, 3.789860770758177*^9}, {
  3.78986147356671*^9, 3.789861534004075*^9}, {3.7898617800836077`*^9, 
  3.789861835680109*^9}},
 CellLabel->
  "In[306]:=",ExpressionUUID->"6bf8aea7-b7b9-4d5b-a161-210bee9bd86a"],

Cell[BoxData[
 GraphicsBox[{{}, {{{}, {}, 
     {RGBColor[0.368417, 0.506779, 0.709798], PointSize[
      0.0055000000000000005`], AbsoluteThickness[1.6], LineBox[CompressedData["
1:eJw10H0sFGAcwPFz3q5zzt1xx73fJVkiL5Fo8/xShLpIE2uNaLe1Wl6muKaF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       "]]}, 
     {RGBColor[0.880722, 0.611041, 0.142051], PointSize[
      0.0055000000000000005`], AbsoluteThickness[1.6], LineBox[CompressedData["
1:eJwtlQs0Vfkex4/3I4/jvByv4zzlNUhRCvvrdTxK8opKV5cYRan0FsMSqcvF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       "]]}, 
     {RGBColor[0.560181, 0.691569, 0.194885], PointSize[
      0.0055000000000000005`], AbsoluteThickness[1.6], LineBox[CompressedData["
1:eJwtlAs4lPkex0fkfp0xM2YM5mJcYt3v4f0yjBG2dWkpdCS1ko4TbehGB1vr
yVGbLrodJ9u2EolVaVU2D7tFK53YJRWRkCOmZanksPN/n+d93uf//v/v7//7
f7/fzytITIvYtIxGo+Uu3kvPDxVTj8ISP6MerMzZfK7sGlV6qqK+K7yQjFup
C+O+Bl0Xaqie1OftO2cfUu0dOmE9o81kvpt6HHzt5hl6J9WkaUZrlfVRUV4x
C68cesj6fur6xHCFbkM/FRl1pbSwfZDy6RK4NxcNke+HqZqirNrTnBFKKlrt
XLtjlDLfuy4wJ/k1qTdO4UlKN+f5BOUpn2jv4b2hVM/t1jvBmyL1J6lbg4Ym
917KqeMJQXW5iXJKNbS/+2njH2S/t5SkxSOHUThD6cvYuSVu01Rc8d1pq7hZ
sv8MlaoxV/aF8zvqa/tXod9rzlIB5SsPnrX+QPqZoxpHbGTOrI+UMvs6p/HZ
O6rF57jvDiUaFP19oPSsTqcX/EnDno9fDXfUzlPbPE+8uCRXgqLfBarMnVnh
MLMM79Mre7ZLaPD6pi1HtqAMRf80qCt33DqgtRw3NjOadlcpwbss9T7TVBWK
8yxDwtotEZpeavhy3e7vCtjKMA9MimmJVYfifIt1Smwa2wo04Pjp4KHi/SoY
jiusvH9bE4rzLsfhrYsKLGhhwi8ko/T1cvAm5zbkO+hAcX5VBClnaZkn66LS
tW5t+Ro1VJVf0jhfrQeFHuo46jom4O7VR7K1MaruqOPn386tpfMNoNBHAx7/
0Vc6UGMAsUmexXVrTbx8KHwy50uHQi9NhM43Vsha6BjQf63901EtnA+89nbe
hUH008Zpn4ea2qUMnFOJfHt/XhspDjrNQUMMoqcOVkaONLbaGSJ29mbP4y90
ode94NmeaUj01UPzime/eNcawmhc2PSsUw+5U9rcd68Mid76kK+vdxpgMzGW
Fhj5x1l9TH+ScdNWyiT668M4tHnSYDsT97ZkS+ciDLDha7WSsFIm8cMAyXEe
+t+0MHFxY5XnRzU6Li3hMskk/tCx3/eIZTCbhYL4AVvlW3Q8GK09+bs3i/jF
QH++vwovkYWkaCZfPZ0BVft3mo8OsYh/DHQd65B732DBPzyYoWNpCLvPHydw
h1nET0PoTfzau43NhiBkryq9zxDMIxuYaQFs4i8T9LvlRaKdbCwEXJ1jHWEi
W2mms6KSTfxm4mRT1Y/ZY2w89X05bixl4ftBR+VjjkbEf5aiv38aodGD089/
z0Kcj+WttD4jkgc26t4U9ueEcHDKKey/4ho2OJ9PSYc7OSQfRjjjfP4H9ywu
sm33t67YZIQlt8J9jElejECrTvpZyuch2qK+wZ7Lgc2iXXJLE5IfDqwse9fI
PE3hyh+97NLBwXOni22JiWYkT1xIr/Y9SpHxYcg1KfPM52LTYrX1r/gkX1yk
F/5rSF4sgJwRftTX0xj8jRPr/H2FJG/GmNYvmuDPCNGpU/CVZMIYFY0mAz80
iUj+eJja2B4fctAcV9QasmXlPPxGl/t1SMUkjzzYLQjmZ5gWKFL6X2pYjAkK
awZGj8ktSD5NMKbiYuDWZ4nU9/yECB1TdGkkC1N/tyJ5NYXpxRGZ3XNrrJqO
ioy+awq3St/o2M4VJL9mCF7aoNsGVm8OSuMyzcBtiuX7TdmSPC+Ow3uN9yjZ
IW/HszMOLD6aky4lRNHtSb75KB6Smz0yc0DG9ixW3T/4yNdZfaWkxYHknY/w
racyzyQ6IvHv9MOubXzMRg5eOK3iRPLPx6rdefah15wW113WuCEWgIqOvXon
1ZnwIIDNzImnR9kuQLI0zytXgJGUxTcPXAgfAryIYV/vPOwK+039Hxp7Bdgh
LZlRXe1GeBFC9GRuX4q2O8wSd+2kXIXI2nXBVtLnTvgR4o1HYFB6gwd0/2Y4
+VOxENZLP+iTnoQnIRx+tNTT+tIL87HVWwLGhEiK75Mqx6wkfImwhZa2XyXQ
G+MxssHWABGO6O1yq7TzIbyJ8CtnUUBbXzxZ8yIu+N8i/PX7t6cIfyIcdsz8
RGAGtEXs6W6bE8GxdIXRsW9BeDSH1b5DDVut/XBzNeuzT6PMsTT9+Kof4dMc
dWMZ9UyJPypCa+49rDbHHd1FItr9Ca/maO2rz9+TLMHJ4FWSSA0x1C/z1iW9
lxB+xcgLDz6bezwAB6RDjV0bxVgf8ouaj00g4VmMMq79U/PbgciU7HOLuS1G
/LaWj7WxUsK3WJH/P6XYDKOaXiMLDFeLh/KOBxHeLSDhvX7h5i/DGp9a6/gM
C9D+uoIJ/xb4PzQkayU=
       "]]}, 
     {RGBColor[0.922526, 0.385626, 0.209179], PointSize[
      0.0055000000000000005`], AbsoluteThickness[1.6], LineBox[CompressedData["
1:eJw1038s1GEcwPHvIXURd86d474O+dV1LqGY0Z7Pua1hSdSyNMWRcWsTlajV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       "]]}, 
     {RGBColor[0.528488, 0.470624, 0.701351], PointSize[
      0.0055000000000000005`], AbsoluteThickness[1.6], LineBox[CompressedData["
1:eJw10HlIE3AUwPFtLucx06mbc25uWl7psi3DAun3GhJlNucR0R+CqEUhKoZH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       "]]}, 
     {RGBColor[0.772079, 0.431554, 0.102387], PointSize[
      0.0055000000000000005`], AbsoluteThickness[1.6], LineBox[CompressedData["
1:eJw102tI01EYwOG/t9RpzrmbTp3loAUtSlNxlZ2XFBmFqGthUpKOIotihlQY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       "]]}, 
     {RGBColor[0.363898, 0.618501, 0.782349], PointSize[
      0.0055000000000000005`], AbsoluteThickness[1.6], LineBox[CompressedData["
1:eJw10HtIU1EcwPHb8rGpmZubm3cPZ+lmvuZzKkr3p39IUpKJNUzC1BJF0VDC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       "]]}, 
     {RGBColor[1, 0.75, 0], PointSize[0.0055000000000000005`], 
      AbsoluteThickness[1.6], LineBox[CompressedData["
1:eJwtkws41Okex8f9EhlmjBnjMldyOeuSEcL/O4wxKAnRFikq2vXoRFtZtqtc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       "]]}}, {
     {RGBColor[0.368417, 0.506779, 0.709798], PointSize[
      0.0055000000000000005`], AbsoluteThickness[1.6]}, 
     {RGBColor[0.880722, 0.611041, 0.142051], PointSize[
      0.0055000000000000005`], AbsoluteThickness[1.6]}, 
     {RGBColor[0.560181, 0.691569, 0.194885], PointSize[
      0.0055000000000000005`], AbsoluteThickness[1.6]}, 
     {RGBColor[0.922526, 0.385626, 0.209179], PointSize[
      0.0055000000000000005`], AbsoluteThickness[1.6]}, 
     {RGBColor[0.528488, 0.470624, 0.701351], PointSize[
      0.0055000000000000005`], AbsoluteThickness[1.6]}, 
     {RGBColor[0.772079, 0.431554, 0.102387], PointSize[
      0.0055000000000000005`], AbsoluteThickness[1.6]}, 
     {RGBColor[0.363898, 0.618501, 0.782349], PointSize[
      0.0055000000000000005`], AbsoluteThickness[1.6]}, 
     {RGBColor[1, 0.75, 0], PointSize[0.0055000000000000005`], 
      AbsoluteThickness[1.6]}}, {
     {RGBColor[0.368417, 0.506779, 0.709798], PointSize[
      0.0055000000000000005`], AbsoluteThickness[1.6]}, 
     {RGBColor[0.880722, 0.611041, 0.142051], PointSize[
      0.0055000000000000005`], AbsoluteThickness[1.6]}, 
     {RGBColor[0.560181, 0.691569, 0.194885], PointSize[
      0.0055000000000000005`], AbsoluteThickness[1.6]}, 
     {RGBColor[0.922526, 0.385626, 0.209179], PointSize[
      0.0055000000000000005`], AbsoluteThickness[1.6]}, 
     {RGBColor[0.528488, 0.470624, 0.701351], PointSize[
      0.0055000000000000005`], AbsoluteThickness[1.6]}, 
     {RGBColor[0.772079, 0.431554, 0.102387], PointSize[
      0.0055000000000000005`], AbsoluteThickness[1.6]}, 
     {RGBColor[0.363898, 0.618501, 0.782349], PointSize[
      0.0055000000000000005`], AbsoluteThickness[1.6]}, 
     {RGBColor[1, 0.75, 0], PointSize[0.0055000000000000005`], 
      AbsoluteThickness[
      1.6]}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, \
{}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, \
{}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, \
{}, {}, {}}, {
     {RGBColor[0.368417, 0.506779, 0.709798], PointSize[
      0.0055000000000000005`], AbsoluteThickness[1.6]}, 
     {RGBColor[0.880722, 0.611041, 0.142051], PointSize[
      0.0055000000000000005`], AbsoluteThickness[1.6]}, 
     {RGBColor[0.560181, 0.691569, 0.194885], PointSize[
      0.0055000000000000005`], AbsoluteThickness[1.6]}, 
     {RGBColor[0.922526, 0.385626, 0.209179], PointSize[
      0.0055000000000000005`], AbsoluteThickness[1.6]}, 
     {RGBColor[0.528488, 0.470624, 0.701351], PointSize[
      0.0055000000000000005`], AbsoluteThickness[1.6]}, 
     {RGBColor[0.772079, 0.431554, 0.102387], PointSize[
      0.0055000000000000005`], AbsoluteThickness[1.6]}, 
     {RGBColor[0.363898, 0.618501, 0.782349], PointSize[
      0.0055000000000000005`], AbsoluteThickness[1.6]}, 
     {RGBColor[1, 0.75, 0], PointSize[0.0055000000000000005`], 
      AbsoluteThickness[
      1.6]}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, \
{}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, \
{}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, \
{}, {}, {}}}, {{}, {}}},
  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]],
  Method->{
   "OptimizePlotMarkers" -> True, 
    "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& ), "CopiedValueFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& )}},
  PlotRange->{{0, 50.}, {0, 11.313708498984761`}},
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {
     Scaled[0.02], 
     Scaled[0.05]}},
  Ticks->{Automatic, Automatic}]], "Output",
 CellChangeTimes->{{3.789860765434984*^9, 3.78986077096467*^9}, 
   3.789861476324353*^9, {3.78986152537943*^9, 3.789861534309346*^9}, {
   3.789861781488509*^9, 3.789861835889407*^9}, 3.790500128363778*^9, 
   3.790687277934268*^9},
 CellLabel->
  "Out[306]=",ExpressionUUID->"79498c18-6a57-441c-9406-458e4e9973ff"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"ListLogPlot", "[", 
  RowBox[{
   RowBox[{"d", "[", 
    RowBox[{
     RowBox[{"SelectFirst", "[", 
      RowBox[{
       RowBox[{"#n", "\[Equal]", "8"}], "&"}], "]"}], ",", 
     RowBox[{
      RowBox[{
       RowBox[{"10000", "/", "2"}], 
       RowBox[{"#\[Rho]s", "[", 
        RowBox[{"[", 
         RowBox[{"-", "4"}], "]"}], "]"}]}], "&"}]}], "]"}], ",", 
   RowBox[{"Joined", "\[Rule]", "True"}]}], "]"}]], "Input",
 CellChangeTimes->{{3.78500344089928*^9, 3.7850035247242117`*^9}, {
   3.78500355492629*^9, 3.785003581869154*^9}, {3.7850037263212214`*^9, 
   3.785003801241189*^9}, {3.785003858875341*^9, 3.785003870148059*^9}, {
   3.7850040155105553`*^9, 3.7850040423493967`*^9}, {3.785006116081827*^9, 
   3.785006116167615*^9}, {3.78505689009816*^9, 3.785056917277814*^9}, {
   3.785057246856258*^9, 3.785057285467389*^9}, {3.7850576509576273`*^9, 
   3.785057656673394*^9}, {3.785057728644764*^9, 3.785057728875795*^9}, {
   3.785063505099409*^9, 3.7850635055000563`*^9}, 3.785064629891938*^9, {
   3.789820922779374*^9, 3.7898209507203293`*^9}},
 CellLabel->
  "In[215]:=",ExpressionUUID->"57f24fa6-c961-417d-8040-d9f006e7bc42"],

Cell[BoxData[
 GraphicsBox[{{}, {{{}, {}, 
     {RGBColor[0.368417, 0.506779, 0.709798], PointSize[
       NCache[
        Rational[1, 360], 0.002777777777777778]], AbsoluteThickness[1.6], 
      LineBox[{{1907., -14.0623706358958}, {1908., -14.0623706358958}}], 
      LineBox[{{1944., -12.96375834722769}, {1945., -13.369223455335854`}}], 
      LineBox[{{1951., -14.0623706358958}, {1952., -14.0623706358958}}], 
      LineBox[{{1954., -14.0623706358958}, {1955., -13.369223455335854`}, {
       1956., -14.0623706358958}}], 
      LineBox[{{1964., -14.0623706358958}, {1965., -14.0623706358958}}], 
      LineBox[{{1967., -14.0623706358958}, {1968., -14.0623706358958}}], 
      LineBox[{{1970., -13.369223455335854`}, {1971., -12.96375834722769}}], 
      LineBox[{{1973., -13.369223455335854`}, {1974., -12.96375834722769}, {
       1975., -14.0623706358958}}], 
      LineBox[{{1977., -14.0623706358958}, {1978., -14.0623706358958}, {
       1979., -14.0623706358958}, {1980., -14.0623706358958}}], 
      LineBox[{{1984., -14.0623706358958}, {1985., -14.0623706358958}, {
       1986., -14.0623706358958}, {1987., -14.0623706358958}, {
       1988., -14.0623706358958}}], 
      LineBox[{{1990., -14.0623706358958}, {1991., -14.0623706358958}}], 
      LineBox[{{1993., -14.0623706358958}, {1994., -14.0623706358958}}], 
      LineBox[{{1996., -12.96375834722769}, {1997., -14.0623706358958}}], 
      LineBox[{{2003., -14.0623706358958}, {2004., -14.0623706358958}, {
       2005., -13.369223455335854`}, {2006., -12.96375834722769}, {
       2007., -14.0623706358958}, {2008., -12.96375834722769}, {
       2009., -14.0623706358958}, {2010., -12.676076274775909`}, {
       2011., -12.96375834722769}, {2012., -12.96375834722769}, {
       2013., -13.369223455335854`}, {2014., -14.0623706358958}, {
       2015., -13.369223455335854`}, {2016., -12.96375834722769}, {
       2017., -13.369223455335854`}, {2018., -12.4529327234617}, {
       2019., -12.676076274775909`}}], LineBox[CompressedData["
1:eJxc3Hs4Fd/7OHxJklSSJFFIkiRJQuKuHEoISZK8kZBKJSRJSJKIJEnSPp+3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       "]], 
      LineBox[CompressedData["
1:eJxTTMoPSmViYGCQAWIQDQZ3NzooN9dsXWCtcQDMv7fR4bxW8G2uvVoQ/n00
/oONDidkXM88ew5V/3Cjg0F78mq1KE0I/xGa+sdo8k/Q9D/d6DDxcXG103d1
CP8ZmvzzjQ68em93F76F6n+x0SHvnBP3e3kdCP8lmvmv0PS/RjP/DZr+t0B+
19/u3i6o+ndo8u/R+B/Q7PuI5r5PaOZ9RpP/gqb/K5p7v6Gp/44Wnj8QfADb
0aSM
       "]], 
      LineBox[{{4602., -13.369223455335854`}, {4603., -12.676076274775909`}}],
       LineBox[{{4605., -13.369223455335854`}, {4606., -12.96375834722769}}], 
      LineBox[{{4608., -12.96375834722769}, {4609., -13.369223455335854`}, {
       4610., -14.0623706358958}, {4611., -12.676076274775909`}, {
       4612., -13.369223455335854`}, {4613., -14.0623706358958}, {
       4614., -13.369223455335854`}, {4615., -12.96375834722769}, {
       4616., -14.0623706358958}, {4617., -13.369223455335854`}}], 
      LineBox[{{4620., -13.369223455335854`}, {4621., -13.369223455335854`}, {
       4622., -14.0623706358958}, {4623., -13.369223455335854`}, {
       4624., -13.369223455335854`}, {4625., -12.96375834722769}, {
       4626., -13.369223455335854`}, {4627., -14.0623706358958}, {
       4628., -12.96375834722769}, {4629., -14.0623706358958}, {
       4630., -14.0623706358958}, {4631., -13.369223455335854`}, {
       4632., -13.369223455335854`}, {4633., -14.0623706358958}}], 
      LineBox[{{4635., -13.369223455335854`}, {4636., -14.0623706358958}, {
       4637., -13.369223455335854`}, {4638., -12.96375834722769}, {
       4639., -14.0623706358958}, {4640., -13.369223455335854`}, {
       4641., -14.0623706358958}}], 
      LineBox[{{4645., -14.0623706358958}, {4646., -14.0623706358958}, {
       4647., -14.0623706358958}, {4648., -14.0623706358958}, {
       4649., -14.0623706358958}}], 
      LineBox[{{4660., -14.0623706358958}, {4661., -14.0623706358958}, {
       4662., -14.0623706358958}}], 
      LineBox[{{4664., -14.0623706358958}, {4665., -14.0623706358958}}], 
      LineBox[{{4667., -14.0623706358958}, {4668., -14.0623706358958}}], 
      LineBox[{{4678., -13.369223455335854`}, {4679., -14.0623706358958}, {
       4680., -14.0623706358958}}], 
      LineBox[{{4688., -14.0623706358958}, {4689., -14.0623706358958}}], 
      LineBox[{{4695., -13.369223455335854`}, {4696., -14.0623706358958}}], 
      LineBox[{{4725., -14.0623706358958}, {4726., -14.0623706358958}, {
       4727., -14.0623706358958}}], 
      LineBox[{{5295., -14.0623706358958}, {5296., -14.0623706358958}}], 
      LineBox[{{5306., -13.369223455335854`}, {5307., -14.0623706358958}}], 
      LineBox[{{5309., -14.0623706358958}, {5310., -14.0623706358958}}], 
      LineBox[{{5315., -14.0623706358958}, {5316., -14.0623706358958}, {
       5317., -13.369223455335854`}}], 
      LineBox[{{5322., -12.96375834722769}, {5323., -13.369223455335854`}, {
       5324., -13.369223455335854`}, {5325., -14.0623706358958}, {
       5326., -13.369223455335854`}, {5327., -13.369223455335854`}, {
       5328., -14.0623706358958}}], 
      LineBox[{{5332., -14.0623706358958}, {5333., -14.0623706358958}, {
       5334., -14.0623706358958}, {5335., -13.369223455335854`}}], 
      LineBox[{{5337., -14.0623706358958}, {5338., -14.0623706358958}, {
       5339., -12.676076274775909`}, {5340., -13.369223455335854`}}], 
      LineBox[{{5346., -14.0623706358958}, {5347., -13.369223455335854`}, {
       5348., -14.0623706358958}}], 
      LineBox[{{5350., -14.0623706358958}, {5351., -14.0623706358958}, {
       5352., -13.369223455335854`}, {5353., -13.369223455335854`}}], 
      LineBox[{{5356., -14.0623706358958}, {5357., -13.369223455335854`}, {
       5358., -14.0623706358958}, {5359., -14.0623706358958}, {
       5360., -13.369223455335854`}, {5361., -13.369223455335854`}, {
       5362., -14.0623706358958}}], 
      LineBox[{{5364., -14.0623706358958}, {5365., -13.369223455335854`}}], 
      LineBox[{{5369., -14.0623706358958}, {5370., -14.0623706358958}, {
       5371., -14.0623706358958}, {5372., -13.369223455335854`}, {
       5373., -13.369223455335854`}, {5374., -12.676076274775909`}, {
       5375., -12.96375834722769}}], 
      LineBox[{{5377., -12.96375834722769}, {5378., -14.0623706358958}, {
       5379., -12.676076274775909`}, {5380., -14.0623706358958}, {
       5381., -12.96375834722769}, {5382., -14.0623706358958}}], 
      LineBox[{{5384., -14.0623706358958}, {5385., -12.676076274775909`}, {
       5386., -14.0623706358958}, {5387., -12.96375834722769}, {
       5388., -14.0623706358958}, {5389., -14.0623706358958}, {
       5390., -12.676076274775909`}, {5391., -13.369223455335854`}, {
       5392., -13.369223455335854`}, {5393., -12.96375834722769}, {
       5394., -13.369223455335854`}, {5395., -12.96375834722769}}], 
      LineBox[CompressedData["
1:eJxc23lcTc//OPBUdqJIKCoSLVKWSNRLVNp4yxLSYklRRFmiRFlKZCtCRUoi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       "]], 
      LineBox[{{7976., -12.676076274775909`}, {7977., -12.676076274775909`}, {
       7978., -12.96375834722769}, {7979., -12.4529327234617}, {
       7980., -13.369223455335854`}, {7981., -14.0623706358958}, {
       7982., -12.676076274775909`}, {7983., -13.369223455335854`}, {
       7984., -13.369223455335854`}, {7985., -14.0623706358958}, {
       7986., -14.0623706358958}}], 
      LineBox[{{7988., -13.369223455335854`}, {7989., -12.96375834722769}, {
       7990., -13.369223455335854`}, {7991., -14.0623706358958}, {
       7992., -13.369223455335854`}, {7993., -13.369223455335854`}, {
       7994., -12.96375834722769}}], 
      LineBox[{{7996., -12.96375834722769}, {7997., -14.0623706358958}, {
       7998., -14.0623706358958}}], 
      LineBox[{{8001., -13.369223455335854`}, {8002., -13.369223455335854`}, {
       8003., -13.369223455335854`}, {8004., -12.96375834722769}, {
       8005., -12.676076274775909`}}], 
      LineBox[{{8007., -14.0623706358958}, {8008., -13.369223455335854`}, {
       8009., -14.0623706358958}}], 
      LineBox[{{8011., -14.0623706358958}, {8012., -14.0623706358958}, {
       8013., -13.369223455335854`}, {8014., -13.369223455335854`}, {
       8015., -14.0623706358958}, {8016., -13.369223455335854`}, {
       8017., -14.0623706358958}, {8018., -14.0623706358958}}], 
      LineBox[{{8025., -14.0623706358958}, {8026., -13.369223455335854`}, {
       8027., -14.0623706358958}}], 
      LineBox[{{8032., -13.369223455335854`}, {8033., -14.0623706358958}}], 
      LineBox[{{8035., -14.0623706358958}, {8036., -14.0623706358958}, {
       8037., -14.0623706358958}}], 
      LineBox[{{8042., -14.0623706358958}, {8043., -14.0623706358958}}], 
      LineBox[{{8081., -14.0623706358958}, {8082., -14.0623706358958}, {
       8083., -14.0623706358958}}]}}, 
    {RGBColor[0.368417, 0.506779, 0.709798], PointSize[
      NCache[
       Rational[1, 360], 0.002777777777777778]], AbsoluteThickness[1.6]}, {
     {RGBColor[0.368417, 0.506779, 0.709798], PointSize[
       NCache[
        Rational[1, 360], 0.002777777777777778]], AbsoluteThickness[
      1.6]}, {}}, {
     {RGBColor[0.368417, 0.506779, 0.709798], PointSize[
       NCache[
        Rational[1, 360], 0.002777777777777778]], AbsoluteThickness[
      1.6]}, {}}}, {{}, {}}},
  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{0., -15.273793688306661`},
  DisplayFunction->Identity,
  Frame->{{False, False}, {False, False}},
  FrameLabel->{{None, None}, {None, None}},
  FrameTicks->{{
     Charting`ScaledTicks[{Log, Exp}], 
     Charting`ScaledFrameTicks[{Log, Exp}]}, {Automatic, Automatic}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  Method->{
   "OptimizePlotMarkers" -> True, 
    "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Exp[#]& )[
         Part[#, 2]]}& ), "CopiedValueFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Exp[#]& )[
         Part[#, 2]]}& )}},
  PlotRange->{{0., 8142}, {-15.273793688306661`, 1.4179514231559174`}},
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {
     Scaled[0.02], 
     Scaled[0.05]}},
  Ticks->FrontEndValueCache[{Automatic, 
     Charting`ScaledTicks[{Log, Exp}]}, {Automatic, {{-13.815510557964274`, 
       FormBox[
        TemplateBox[{"10", 
          RowBox[{"-", "6"}]}, "Superscript", SyntaxForm -> SuperscriptBox], 
        TraditionalForm], {0.01, 0.}, {
        AbsoluteThickness[0.1]}}, {-9.210340371976182, 
       FormBox[
        TemplateBox[{"10", 
          RowBox[{"-", "4"}]}, "Superscript", SyntaxForm -> SuperscriptBox], 
        TraditionalForm], {0.01, 0.}, {
        AbsoluteThickness[0.1]}}, {-4.605170185988091, 
       FormBox[
        TagBox[
         InterpretationBox["\"0.01\"", 0.01, AutoDelete -> True], 
         NumberForm[#, {
           DirectedInfinity[1], 2}]& ], TraditionalForm], {0.01, 0.}, {
        AbsoluteThickness[0.1]}}, {0., 
       FormBox["1", TraditionalForm], {0.01, 0.}, {
        AbsoluteThickness[0.1]}}, {-11.512925464970229`, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}, {
        AbsoluteThickness[0.1]}}, {-6.907755278982137, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}, {
        AbsoluteThickness[0.1]}}, {-2.3025850929940455`, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}, {
        AbsoluteThickness[0.1]}}, {2.302585092994046, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}, {
        AbsoluteThickness[0.1]}}, {4.605170185988092, 
       FormBox[
        TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}, {
        AbsoluteThickness[0.1]}}}}]]], "Output",
 CellChangeTimes->{{3.785003466427495*^9, 3.7850034763522387`*^9}, {
   3.785003506656761*^9, 3.7850035279403973`*^9}, {3.785003558770405*^9, 
   3.785003582849557*^9}, 3.7850036590215187`*^9, {3.78500372032237*^9, 
   3.785003755582879*^9}, {3.785003794389751*^9, 3.785003801551887*^9}, {
   3.7850038600098743`*^9, 3.7850039066366453`*^9}, {3.785003995477704*^9, 
   3.7850040433445587`*^9}, 3.78500482809217*^9, 3.7850053303088083`*^9, 
   3.785006116816091*^9, {3.785056891624435*^9, 3.785056917777589*^9}, {
   3.7850572794770412`*^9, 3.7850572903202963`*^9}, 3.7850576616058693`*^9, 
   3.785057733942786*^9, 3.785063510525573*^9, 3.7850646381587*^9, {
   3.789820924287415*^9, 3.7898209511296062`*^9}},
 CellLabel->
  "Out[215]=",ExpressionUUID->"765eacb6-1851-4d58-84e2-e2ed47100b2f"]
}, Open  ]],

Cell[BoxData[
 RowBox[{
  RowBox[{"tData", "=", 
   RowBox[{"{", 
    RowBox[{
     RowBox[{"{", 
      RowBox[{"4", ",", 
       RowBox[{
        RowBox[{"Quantity", "[", 
         RowBox[{"13", ",", "\"\<Minutes\>\""}], "]"}], "+", 
        RowBox[{"Quantity", "[", 
         RowBox[{"32.95", ",", "\"\<Seconds\>\""}], "]"}]}]}], "}"}], ",", 
     RowBox[{"{", 
      RowBox[{"8", ",", 
       RowBox[{
        RowBox[{"Quantity", "[", 
         RowBox[{"42", ",", "\"\<Minutes\>\""}], "]"}], "+", 
        RowBox[{"Quantity", "[", 
         RowBox[{"21.57", ",", "\"\<Seconds\>\""}], "]"}]}]}], "}"}], ",", 
     RowBox[{"{", 
      RowBox[{"16", ",", 
       RowBox[{
        RowBox[{"Quantity", "[", 
         RowBox[{"2", ",", "\"\<Hours\>\""}], "]"}], "+", 
        RowBox[{"Quantity", "[", 
         RowBox[{"55", ",", "\"\<Minutes\>\""}], "]"}], "+", 
        RowBox[{"Quantity", "[", 
         RowBox[{"5.77", ",", "\"\<Seconds\>\""}], "]"}]}]}], "}"}], ",", 
     RowBox[{"{", 
      RowBox[{"32", ",", 
       RowBox[{
        RowBox[{"Quantity", "[", 
         RowBox[{"14", ",", "\"\<Hours\>\""}], "]"}], "+", 
        RowBox[{"Quantity", "[", 
         RowBox[{"31", ",", "\"\<Minutes\>\""}], "]"}], "+", 
        RowBox[{"Quantity", "[", 
         RowBox[{"15.87", ",", "\"\<Seconds\>\""}], "]"}]}]}], "}"}]}], 
    "}"}]}], ";"}]], "Input",
 CellChangeTimes->{{3.7850582222461777`*^9, 3.785058233197236*^9}, {
  3.785091499131219*^9, 3.785091529298004*^9}},
 CellLabel->"In[22]:=",ExpressionUUID->"8f6a5438-be42-44f3-87d6-da2bc37c171f"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"tFit", "=", 
  RowBox[{"LinearModelFit", "[", 
   RowBox[{
    RowBox[{"Log2", "[", 
     RowBox[{
      RowBox[{
       RowBox[{"{", 
        RowBox[{"#1", ",", 
         RowBox[{"#2", "/", 
          RowBox[{"Quantity", "[", "\"\<Days\>\"", "]"}]}]}], "}"}], "&"}], "@@@",
       "tData"}], "]"}], ",", "x", ",", "x"}], "]"}]}]], "Input",
 CellChangeTimes->{{3.785058234789083*^9, 3.785058316373475*^9}, {
   3.785058353021956*^9, 3.785058353982479*^9}, 3.7850583994503117`*^9, {
   3.78505845364515*^9, 3.785058453928129*^9}},
 CellLabel->"In[23]:=",ExpressionUUID->"c4cbaaa3-d693-4c1c-b0a0-8724f52d4d94"],

Cell[BoxData[
 TagBox[
  RowBox[{"FittedModel", "[", 
   TagBox[
    PanelBox[
     TagBox[
      RowBox[{
       RowBox[{"-", "10.919686950725108`"}], "+", 
       RowBox[{"2.006789423582779`", " ", "x"}]}],
      Short[#, 2]& ],
     FrameMargins->5],
    Editable -> False], "]"}],
  InterpretTemplate[
  FittedModel[{
    "Linear", {-10.919686950725108`, 
     2.006789423582779}, {{$CellContext`x}, {1, $CellContext`x}}, {0, 0}}, {{
    1., 1., 1., 
    1.}}, {{2, -6.731720879223929}, {3, -5.0872394411908575`}, {
     4, -3.0398494069726665`}, {5, -0.7248861453540679}}, {{1., 2.}, {1., 
    3.}, {1., 4.}, {1., 5.}}, 
    Function[Null, 
     Internal`LocalizedBlock[{$CellContext`x}, #], {HoldAll}]]& ],
  Editable->False,
  SelectWithContents->True,
  Selectable->True]], "Output",
 CellChangeTimes->{{3.785058261893118*^9, 3.7850583167277937`*^9}, 
   3.7850583541983747`*^9, 3.7850584046666822`*^9, 3.785058454267872*^9, 
   3.785091533090296*^9},
 CellLabel->"Out[23]=",ExpressionUUID->"fa68dd36-a911-4b03-a5e1-774b6ced48f8"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"Show", "[", 
  RowBox[{
   RowBox[{"ListPlot", "[", 
    RowBox[{
     RowBox[{"Log2", "[", 
      RowBox[{
       RowBox[{
        RowBox[{"{", 
         RowBox[{"#1", ",", 
          RowBox[{"#2", "/", 
           RowBox[{"Quantity", "[", "\"\<Days\>\"", "]"}]}]}], "}"}], "&"}], "@@@",
        "tData"}], "]"}], ",", 
     RowBox[{"Joined", "\[Rule]", "True"}]}], "]"}], ",", 
   RowBox[{"Plot", "[", 
    RowBox[{
     RowBox[{"tFit", "[", "x", "]"}], ",", 
     RowBox[{"{", 
      RowBox[{"x", ",", "0", ",", "5"}], "}"}], ",", 
     RowBox[{"PlotStyle", "\[Rule]", 
      RowBox[{
       RowBox[{"ColorData", "[", "97", "]"}], "[", "2", "]"}]}]}], "]"}]}], 
  "]"}]], "Input",
 CellChangeTimes->{{3.785057971969727*^9, 3.7850580830023727`*^9}, 
   3.785058221488821*^9, {3.7850583313816633`*^9, 3.785058407210636*^9}, {
   3.7850584584440813`*^9, 3.785058458720736*^9}, {3.785098280897551*^9, 
   3.785098288548439*^9}},
 CellLabel->"In[91]:=",ExpressionUUID->"ea17c51f-a1d7-41fd-a34c-228c2d4ab784"],

Cell[BoxData[
 GraphicsBox[{{{}, {{{}, {}, 
      {RGBColor[0.368417, 0.506779, 0.709798], PointSize[
       0.012833333333333334`], AbsoluteThickness[1.6], 
       LineBox[{{2., -6.731720879223929}, {3., -5.0872394411908575`}, {
        4., -3.0398494069726665`}, {5., -0.7248861453540679}}]}}, 
     {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]}, {}}, {
      {RGBColor[0.368417, 0.506779, 0.709798], PointSize[
       0.012833333333333334`], AbsoluteThickness[
       1.6]}, {}}}, {{}, {}}}, {{{}, {}, 
     TagBox[
      {RGBColor[0.880722, 0.611041, 0.142051], AbsoluteThickness[1.6], 
       Opacity[1.], LineBox[CompressedData["
1:eJwB4QQe+yFib1JlAgAAAE0AAAACAAAAnX5iBjFkez582GAu4dYlwMTTIExX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        "]]},
      Annotation[#, "Charting`Private`Tag$141775#1"]& ]}, {}}},
  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{1.9375000000000002`, 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]],
  Method->{
   "OptimizePlotMarkers" -> True, 
    "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& ), "CopiedValueFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& )}},
  PlotRange->{{1.9375000000000002`, 5.}, {-6.731720879223929, 0}},
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {
     Scaled[0.05], 
     Scaled[0.02]}},
  Ticks->{Automatic, Automatic}]], "Output",
 CellChangeTimes->{
  3.785058012185809*^9, {3.785058062951374*^9, 3.7850580832349863`*^9}, {
   3.7850583426184177`*^9, 3.785058408046142*^9}, {3.785058455108177*^9, 
   3.785058459228675*^9}, 3.785091533739656*^9, 3.785098295086089*^9},
 CellLabel->"Out[91]=",ExpressionUUID->"734656d0-32f9-40e2-a69d-89571abd59bf"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"2", "^", 
  RowBox[{"tFit", "[", "7", "]"}]}]], "Input",
 CellChangeTimes->{{3.785058386832859*^9, 3.785058477063302*^9}, 
   3.78506383677318*^9, {3.7850915410821342`*^9, 3.785091541656537*^9}, {
   3.78509844755682*^9, 3.785098483105493*^9}},
 CellLabel->"In[97]:=",ExpressionUUID->"249cb54f-1c35-414f-8168-27f2195185e6"],

Cell[BoxData["8.741246451133405`"], "Output",
 CellChangeTimes->{{3.785058395254241*^9, 3.7850584775526667`*^9}, 
   3.785063837484005*^9, {3.785091534969634*^9, 3.785091541930415*^9}, {
   3.7850984450125093`*^9, 3.785098483493142*^9}},
 CellLabel->"Out[97]=",ExpressionUUID->"9b814a6a-324d-4cb2-98b4-7e298a5398a1"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"UnitConvert", "[", 
  RowBox[{
   RowBox[{
    RowBox[{"(", 
     RowBox[{
      RowBox[{"Quantity", "[", 
       RowBox[{"2", ",", "\"\<Hours\>\""}], "]"}], "+", 
      RowBox[{"Quantity", "[", 
       RowBox[{"55", ",", "\"\<Minutes\>\""}], "]"}], "+", 
      RowBox[{"Quantity", "[", 
       RowBox[{"5.77", ",", "\"\<Seconds\>\""}], "]"}]}], ")"}], "16", " ", 
    "2"}], ",", "\"\<Hours\>\""}], "]"}]], "Input",
 CellChangeTimes->{{3.785098739458117*^9, 3.785098761159773*^9}},
 CellLabel->
  "In[100]:=",ExpressionUUID->"e66c9322-9282-4dd8-b7bf-4e72fb9ae72c"],

Cell[BoxData[
 TemplateBox[{"93.38462222222222`","\"h\"","hours","\"Hours\""},
  "Quantity"]], "Output",
 CellChangeTimes->{{3.785098744320797*^9, 3.785098762761623*^9}},
 CellLabel->
  "Out[100]=",ExpressionUUID->"a4c4ccfb-7bb8-41fb-a9fe-42202dac8ba9"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"UnitConvert", "[", 
  RowBox[{
   RowBox[{"Quantity", "[", 
    RowBox[{"415330.76", ",", "\"\<Seconds\>\""}], "]"}], ",", 
   "\"\<Hours\>\""}], "]"}]], "Input",
 CellChangeTimes->{{3.789864568431135*^9, 3.7898646115539017`*^9}},
 CellLabel->"In[54]:=",ExpressionUUID->"627962e9-b7e0-4522-91c1-a872c1829f1a"],

Cell[BoxData[
 TemplateBox[{"115.36965555555555`","\"h\"","hours","\"Hours\""},
  "Quantity"]], "Output",
 CellChangeTimes->{3.789864611844674*^9},
 CellLabel->"Out[54]=",ExpressionUUID->"2ccc1fbf-388f-4931-a956-b768507e520d"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"UnitConvert", "[", 
  RowBox[{
   RowBox[{"Quantity", "[", 
    RowBox[{"528330.62", ",", "\"\<Seconds\>\""}], "]"}], ",", 
   "\"\<Hours\>\""}], "]"}]], "Input",
 CellChangeTimes->{{3.789864620940146*^9, 3.7898646325142736`*^9}},
 CellLabel->"In[55]:=",ExpressionUUID->"a8cc9c6c-6fc3-4b82-9191-4d7c4984dc2c"],

Cell[BoxData[
 TemplateBox[{"146.75850555555556`","\"h\"","hours","\"Hours\""},
  "Quantity"]], "Output",
 CellChangeTimes->{3.789864632797861*^9},
 CellLabel->"Out[55]=",ExpressionUUID->"3e2cba64-6d05-4547-852b-bb9117d96801"]
}, Open  ]]
},
WindowSize->{759, 1196},
WindowMargins->{{Automatic, -1918}, {Automatic, 2}},
Magnification:>0.8 Inherited,
FrontEndVersion->"12.0 for Linux x86 (64-bit) (April 8, 2019)",
StyleDefinitions->"Default.nb"
]
(* End of Notebook Content *)

(* Internal cache information *)
(*CellTagsOutline
CellTagsIndex->{}
*)
(*CellTagsIndex
CellTagsIndex->{}
*)
(*NotebookFileOutline
Notebook[{
Cell[558, 20, 3307, 78, 176, "Input",ExpressionUUID->"6ca216e4-4a7b-4e5f-a718-f4e70c77d6a2"],
Cell[3868, 100, 668, 18, 49, "Input",ExpressionUUID->"f756d73a-4921-45d7-acd1-44fe21438a02"],
Cell[4539, 120, 417, 7, 26, "Input",ExpressionUUID->"c91e85b2-f90e-40d7-bf19-7a03fd9499bb"],
Cell[4959, 129, 819, 23, 26, "Input",ExpressionUUID->"1b068f0a-fa61-487d-893c-5b00f279e758"],
Cell[5781, 154, 1819, 48, 67, "Input",ExpressionUUID->"83b164e2-d1bf-4be5-bf92-d3645cb950ca"],
Cell[7603, 204, 963, 26, 42, "Input",ExpressionUUID->"f81a2199-caac-407b-95bf-2211d7b265a5"],
Cell[8569, 232, 756, 18, 43, "Input",ExpressionUUID->"a0e3da7a-9e7b-466f-bc4d-cb0b0d8819f4"],
Cell[9328, 252, 2200, 55, 99, "Input",ExpressionUUID->"cfeba3ce-dc48-40c8-b8b8-f34cf59a253d"],
Cell[11531, 309, 1525, 35, 93, "Input",ExpressionUUID->"9b0c3339-71cd-41f6-9ef3-ca7bd5b2e440"],
Cell[13059, 346, 1310, 29, 26, "Input",ExpressionUUID->"a1830ef0-911d-442d-b5d2-b62c202fce89"],
Cell[14372, 377, 660, 15, 26, "Input",ExpressionUUID->"c5d823f9-e85c-4b3b-b05c-3154ec28aa66"],
Cell[15035, 394, 1672, 42, 72, "Input",ExpressionUUID->"b26da0ea-b484-4f10-9733-25392042ef58"],
Cell[16710, 438, 506, 11, 26, "Input",ExpressionUUID->"3b7ef50e-b362-4da3-b734-818bb17a7c2f"],
Cell[CellGroupData[{
Cell[17241, 453, 321, 9, 26, "Input",ExpressionUUID->"1d9176bd-3b77-4ecc-9453-1c9a125a6eca"],
Cell[17565, 464, 17018, 333, 199, "Output",ExpressionUUID->"305f9fe3-8a8d-4a5c-b42b-c23e67a6afbb"]
}, Open  ]],
Cell[34598, 800, 1933, 50, 87, "Input",ExpressionUUID->"965aa541-441e-48ee-b9c7-6c04093a0d42"],
Cell[36534, 852, 1515, 37, 87, "Input",ExpressionUUID->"0885a315-6bfe-4916-87e6-8a66c95472da"],
Cell[CellGroupData[{
Cell[38074, 893, 1315, 33, 47, "Input",ExpressionUUID->"b9af9737-77db-4699-8144-d484234a5c9a"],
Cell[39392, 928, 51099, 912, 202, "Output",ExpressionUUID->"e1f95041-b6aa-4781-9b15-f8e2c4b7aff3"]
}, Open  ]],
Cell[CellGroupData[{
Cell[90528, 1845, 2334, 51, 67, "Input",ExpressionUUID->"d80acc58-e355-49f5-8e82-b7a019a31499"],
Cell[92865, 1898, 39983, 756, 199, "Output",ExpressionUUID->"8e44c7c9-5ce5-472b-9910-b5854ac7e6dc"]
}, Open  ]],
Cell[132863, 2657, 1054, 27, 67, "Input",ExpressionUUID->"09f155dc-a270-465f-83b4-5452a9d3c6a6"],
Cell[133920, 2686, 1187, 25, 67, "Input",ExpressionUUID->"faf27222-05ad-48db-b551-d6176fd5d567"],
Cell[CellGroupData[{
Cell[135132, 2715, 3066, 75, 137, "Input",ExpressionUUID->"511fd1ec-10b6-4e80-beb1-748a7f18c95e"],
Cell[138201, 2792, 42678, 808, 196, "Output",ExpressionUUID->"79776383-7b0a-4c8c-96fb-ec0fcc44679e"]
}, Open  ]],
Cell[180894, 3603, 482, 15, 26, "Input",ExpressionUUID->"5a1efa6e-dfe2-4d60-ae14-3a6c7a1d321c"],
Cell[CellGroupData[{
Cell[181401, 3622, 1084, 23, 26, "Input",ExpressionUUID->"90d2bb91-ba31-44f8-b0ca-47994c701e88"],
Cell[182488, 3647, 1648, 23, 30, "Output",ExpressionUUID->"c0e31b1c-6cff-4223-a724-2c5b4f4824e5"]
}, Open  ]],
Cell[CellGroupData[{
Cell[184173, 3675, 650, 17, 26, "Input",ExpressionUUID->"24a1235a-0106-41db-84ea-024b7cb0822c"],
Cell[184826, 3694, 848, 12, 30, "Output",ExpressionUUID->"13476d45-5bbd-4649-8fa4-e986b06fb75c"]
}, Open  ]],
Cell[CellGroupData[{
Cell[185711, 3711, 558, 16, 26, "Input",ExpressionUUID->"6c35788f-083e-448b-82aa-5d86bb96b55a"],
Cell[186272, 3729, 351, 6, 30, "Output",ExpressionUUID->"df7c4f95-664c-4667-af1e-fe8e47cb5783"]
}, Open  ]],
Cell[CellGroupData[{
Cell[186660, 3740, 1347, 36, 87, "Input",ExpressionUUID->"c12fa5e5-5063-4b4c-9c3f-33314d3bf3a5"],
Cell[188010, 3778, 435, 10, 30, "Output",ExpressionUUID->"2914ae7c-4997-40c6-ae62-793d718e2cea"]
}, Open  ]],
Cell[CellGroupData[{
Cell[188482, 3793, 515, 15, 26, "Input",ExpressionUUID->"999b2b2d-cb71-4e35-875f-2e890e432c80"],
Cell[189000, 3810, 239, 5, 30, "Output",ExpressionUUID->"6c8cbe80-6b6a-4d30-a4d8-b1258c4d2ceb"]
}, Open  ]],
Cell[CellGroupData[{
Cell[189276, 3820, 229, 5, 26, "Input",ExpressionUUID->"13f9cb8e-33ff-4686-bbb8-4d58374d239f"],
Cell[189508, 3827, 208, 3, 30, "Output",ExpressionUUID->"0d50940b-c5f5-44ca-810a-714e1ad8f681"]
}, Open  ]],
Cell[CellGroupData[{
Cell[189753, 3835, 553, 16, 26, "Input",ExpressionUUID->"8272a1c8-4c17-4097-8634-a997066bf642"],
Cell[190309, 3853, 23348, 402, 185, "Output",ExpressionUUID->"6ff7dd61-33ec-4b7b-bbe0-cb1daa8344fc"]
}, Open  ]],
Cell[213672, 4258, 2099, 61, 87, "Input",ExpressionUUID->"49fe8588-a840-4740-82fd-06e6920b19de"],
Cell[CellGroupData[{
Cell[215796, 4323, 1206, 30, 47, "Input",ExpressionUUID->"63c8922f-d24e-46ca-a537-602acfdc4822"],
Cell[217005, 4355, 21683, 442, 200, "Output",ExpressionUUID->"e31e8467-ff32-46ec-80d5-174702afc3f4"]
}, Open  ]],
Cell[238703, 4800, 1458, 44, 94, "Input",ExpressionUUID->"666e65f1-8d79-40dc-9b3a-fee9e9d2fc06"],
Cell[CellGroupData[{
Cell[240186, 4848, 1042, 25, 47, "Input",ExpressionUUID->"fdefbdb5-3432-48a1-ab56-2911aa735797"],
Cell[241231, 4875, 24214, 484, 188, "Output",ExpressionUUID->"8893f64b-517b-443f-b85a-3a6f0281d005"]
}, Open  ]],
Cell[CellGroupData[{
Cell[265482, 5364, 664, 18, 26, "Input",ExpressionUUID->"6bf8aea7-b7b9-4d5b-a161-210bee9bd86a"],
Cell[266149, 5384, 17301, 312, 198, "Output",ExpressionUUID->"79498c18-6a57-441c-9406-458e4e9973ff"]
}, Open  ]],
Cell[CellGroupData[{
Cell[283487, 5701, 1167, 25, 26, "Input",ExpressionUUID->"57f24fa6-c961-417d-8040-d9f006e7bc42"],
Cell[284657, 5728, 76969, 1284, 190, "Output",ExpressionUUID->"765eacb6-1851-4d58-84e2-e2ed47100b2f"]
}, Open  ]],
Cell[361641, 7015, 1553, 40, 87, "Input",ExpressionUUID->"8f6a5438-be42-44f3-87d6-da2bc37c171f"],
Cell[CellGroupData[{
Cell[363219, 7059, 632, 15, 26, "Input",ExpressionUUID->"c4cbaaa3-d693-4c1c-b0a0-8724f52d4d94"],
Cell[363854, 7076, 1038, 28, 40, "Output",ExpressionUUID->"fa68dd36-a911-4b03-a5e1-774b6ced48f8"]
}, Open  ]],
Cell[CellGroupData[{
Cell[364929, 7109, 1030, 27, 47, "Input",ExpressionUUID->"ea17c51f-a1d7-41fd-a34c-228c2d4ab784"],
Cell[365962, 7138, 3907, 81, 193, "Output",ExpressionUUID->"734656d0-32f9-40e2-a69d-89571abd59bf"]
}, Open  ]],
Cell[CellGroupData[{
Cell[369906, 7224, 347, 6, 26, "Input",ExpressionUUID->"249cb54f-1c35-414f-8168-27f2195185e6"],
Cell[370256, 7232, 316, 4, 30, "Output",ExpressionUUID->"9b814a6a-324d-4cb2-98b4-7e298a5398a1"]
}, Open  ]],
Cell[CellGroupData[{
Cell[370609, 7241, 589, 15, 47, "Input",ExpressionUUID->"e66c9322-9282-4dd8-b7bf-4e72fb9ae72c"],
Cell[371201, 7258, 253, 5, 32, "Output",ExpressionUUID->"a4c4ccfb-7bb8-41fb-a9fe-42202dac8ba9"]
}, Open  ]],
Cell[CellGroupData[{
Cell[371491, 7268, 333, 7, 26, "Input",ExpressionUUID->"627962e9-b7e0-4522-91c1-a872c1829f1a"],
Cell[371827, 7277, 226, 4, 32, "Output",ExpressionUUID->"2ccc1fbf-388f-4931-a956-b768507e520d"]
}, Open  ]],
Cell[CellGroupData[{
Cell[372090, 7286, 333, 7, 26, "Input",ExpressionUUID->"a8cc9c6c-6fc3-4b82-9191-4d7c4984dc2c"],
Cell[372426, 7295, 226, 4, 32, "Output",ExpressionUUID->"3e2cba64-6d05-4547-852b-bb9117d96801"]
}, Open  ]]
}
]
*)