resonans7.nb 283 KB
Newer Older
himyss's avatar
himyss committed
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
(* Content-type: application/vnd.wolfram.mathematica *)

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

(* CreatedBy='Mathematica 13.0' *)

(*CacheID: 234*)
(* Internal cache information:
NotebookFileLineBreakTest
NotebookFileLineBreakTest
NotebookDataPosition[       158,          7]
NotebookDataLength[    289629,       5106]
NotebookOptionsPosition[    286500,       5052]
NotebookOutlinePosition[    286898,       5068]
CellTagsIndexPosition[    286855,       5065]
WindowFrame->Normal*)

(* Beginning of Notebook Content *)
Notebook[{
Cell[BoxData[
 RowBox[{
  RowBox[{"(*", " ", "Input", " ", "*)"}], "\[IndentingNewLine]", 
  RowBox[{"(*", 
   RowBox[{
    RowBox[{"kin", " ", "=", " ", "20."}], ";"}], "*)"}], 
  "\[IndentingNewLine]", 
  RowBox[{
   RowBox[{
    RowBox[{"mass", "=", " ", "939."}], ";"}], "\[IndentingNewLine]", 
   RowBox[{
    RowBox[{"range", " ", "=", " ", "3"}], ";"}]}]}]], "Input",
 CellChangeTimes->{{3.8698997367340517`*^9, 3.869899843251645*^9}, {
   3.869900162194075*^9, 3.86990022514108*^9}, {3.869900263296324*^9, 
   3.869900278820773*^9}, {3.869900716799706*^9, 3.869900721797647*^9}, 
   3.869902565634445*^9, {3.869902624866561*^9, 3.869902626057645*^9}, {
   3.869904698619644*^9, 3.8699047019298077`*^9}, 3.870142822697193*^9, {
   3.870144764448131*^9, 3.87014476799769*^9}, {3.870144888379427*^9, 
   3.870144970243932*^9}, {3.870145792817855*^9, 3.8701457939369917`*^9}, {
   3.8713910972634153`*^9, 3.871391103619568*^9}, {3.8714518138981028`*^9, 
   3.871451832796793*^9}, 3.8714523038600388`*^9, {3.87145238207703*^9, 
   3.871452385670923*^9}, 3.8720846338697147`*^9, 3.8737692337195473`*^9},
 CellLabel->"In[2]:=",ExpressionUUID->"502c7901-c122-4614-8b72-a04caf16b1e2"],

Cell[BoxData[
 RowBox[{
  RowBox[{"sps", "=", 
   RowBox[{"{", 
    RowBox[{
     RowBox[{"{", 
      RowBox[{
       RowBox[{"Dashing", "[", "None", "]"}], ",", 
       RowBox[{"RGBColor", "[", 
        RowBox[{"0", ",", "0", ",", "0"}], "]"}]}], "}"}], ",", " ", 
     RowBox[{"{", 
      RowBox[{
       RowBox[{"Dashing", "[", "Large", "]"}], ",", 
       RowBox[{"RGBColor", "[", 
        RowBox[{"1", ",", "0", ",", "0"}], "]"}]}], "}"}], ",", 
     RowBox[{"{", 
      RowBox[{
       RowBox[{"Dashing", "[", "Medium", "]"}], ",", 
       RowBox[{"RGBColor", "[", 
        RowBox[{"0", ",", "0", ",", "1"}], "]"}]}], "}"}], ",", 
     RowBox[{"{", 
      RowBox[{
       RowBox[{"Dashing", "[", "None", "]"}], ",", 
       RowBox[{"RGBColor", "[", 
        RowBox[{"0", ",", "1", ",", "0"}], "]"}]}], "}"}], ",", 
     RowBox[{"{", 
      RowBox[{
       RowBox[{"Dashing", "[", "None", "]"}], ",", 
       RowBox[{"RGBColor", "[", 
        RowBox[{"0", ",", "1", ",", "1"}], "]"}]}], "}"}]}], "}"}]}], 
  ";"}]], "Input",
 CellChangeTimes->{
  3.871701793434409*^9, {3.872065693342557*^9, 3.872065697733029*^9}, {
   3.873782505658546*^9, 3.873782510479516*^9}, {3.8737825663259*^9, 
   3.873782609908166*^9}},
 CellLabel->"In[4]:=",ExpressionUUID->"8acf02de-4007-4da0-99ab-5688c509e7b2"],

Cell[BoxData[
 RowBox[{
  RowBox[{"kOut", "[", "e_", "]"}], " ", ":=", " ", 
  FractionBox[
   SqrtBox[
    RowBox[{"2", "*", "mass", "*", "e"}]], "197.327"]}]], "Input",
 CellChangeTimes->{
  3.870144988515087*^9, {3.870145025281687*^9, 3.870145047838258*^9}, {
   3.871451965683363*^9, 3.87145196928242*^9}, {3.872063208516612*^9, 
   3.8720632133894377`*^9}, {3.8744963984725924`*^9, 3.874496399276744*^9}},
 CellLabel->"In[5]:=",ExpressionUUID->"e4eb0afd-6ac9-4727-a316-8fe76f4fcecb"],

Cell[BoxData[
 RowBox[{
  RowBox[{"kIn", "[", 
   RowBox[{"e_", ",", "U0_"}], "]"}], " ", ":=", " ", 
  FractionBox[
   SqrtBox[
    RowBox[{"2", " ", "mass", " ", 
     RowBox[{"(", 
      RowBox[{"e", "-", " ", "U0"}], ")"}]}]], "197.327"]}]], "Input",
 CellChangeTimes->{{3.870145798453801*^9, 3.8701458265877657`*^9}, {
  3.871451836727564*^9, 3.871451840179946*^9}, {3.8714519734346457`*^9, 
  3.8714519739887877`*^9}, {3.872063215936698*^9, 3.8720632175080347`*^9}, {
  3.8744964016057873`*^9, 3.8744964030518217`*^9}},
 CellLabel->"In[6]:=",ExpressionUUID->"8fe4d871-c7e0-46fe-8f61-898f90834b8b"],

Cell[CellGroupData[{

Cell[BoxData[{
 RowBox[{
  RowBox[{"ang", " ", "=", " ", "0"}], ";"}], "\[IndentingNewLine]", 
 RowBox[{"Plot", "[", 
  RowBox[{
   RowBox[{"{", 
    RowBox[{
     RowBox[{"e", "*", 
      RowBox[{"SphericalBesselJ", "[", 
       RowBox[{"ang", ",", "e"}], "]"}]}], ",", 
     RowBox[{"Sin", "[", 
      RowBox[{"e", "-", 
       RowBox[{"ang", "*", 
        FractionBox["Pi", "2"]}]}], "]"}]}], "}"}], ",", 
   RowBox[{"{", 
    RowBox[{"e", ",", "0", ",", "50"}], "}"}], ",", 
   RowBox[{"PlotStyle", "->", "sps"}]}], 
  "]"}], "\[IndentingNewLine]"}], "Input",
 CellChangeTimes->{{3.871880311016982*^9, 3.871880487167283*^9}, {
   3.871880536637885*^9, 3.871880597710753*^9}, {3.871880655550522*^9, 
   3.8718806557964563`*^9}, {3.871880735948984*^9, 3.87188074436497*^9}, {
   3.871880952795089*^9, 3.871880972213468*^9}, {3.8718812405705957`*^9, 
   3.871881250760544*^9}, {3.871881297289236*^9, 3.871881327563302*^9}, {
   3.871881376003738*^9, 3.871881499472775*^9}, {3.871881535278989*^9, 
   3.871881551847143*^9}, {3.872063312874229*^9, 3.872063355689334*^9}, {
   3.872063408893736*^9, 3.87206348665994*^9}, {3.872063558997143*^9, 
   3.872063588644578*^9}, 3.872063625019775*^9, {3.873782464804798*^9, 
   3.873782490792597*^9}},
 CellLabel->"In[7]:=",ExpressionUUID->"221cdf39-c3eb-4a84-8500-19e402ba9a9a"],

Cell[BoxData[
 GraphicsBox[{{{}, {}, 
    TagBox[
     {RGBColor[0, 0, 0], AbsoluteThickness[1.6], Opacity[1.], Dashing[None], 
      LineBox[CompressedData["
1:eJwkmnk0Vd/7x02JaDDP8zzPs2s/SqFPqahoICKJCA0yJEKEEFJUNJAhpYRK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       "]]},
     Annotation[#, "Charting`Private`Tag$5602#1"]& ], 
    TagBox[
     {RGBColor[1, 0, 0], AbsoluteThickness[1.6], Opacity[1.], Dashing[Large], 
      LineBox[CompressedData["
1:eJwkmnc41t//x61ENOy99957nJdSaMiHigYpI5FCQ2YKyQghGZUGkZQSKpWD
ZJURZWdv932/JZv4vb/X76/39bzOeZ/zOs/zum+P532ROH3B1o2Bjo5ufhMd
3f+ekgn/nj4UfWPaF/v/z3csCmLeHgno0qsTPsLks/Lqq2x5jyw0PJMzN+qe
hWrUfc8wexSiyBeeY6unC1FdXKvl/BmMsgysDzbZYVRvGP6BcqYZPW0ceXiN
rxm9MOYK1SlsQRuWDCfWQ1vQnx7XrEv5P1DU9a5CU98fKFSQZWj2URva0FX2
iLFtQ/fuWZ8hbnegZHb22Q/MHajhTo/vxJl+NHljREpAoQ/dSkutT9YYQM+/
67ys3dSPlD3QMa3CAfRL0VcsbaAf+W2+E+SXP4hKFBt5dOoG0Ppu7fKZR8NI
Lj2/othrCD3m+W2dKDqCyr3UUvt+DCHz0ch+tfsjyLLQzmVMdxjFRnTQXbg3
ivaWOD7x/zeM+L8E7qLeHkeOiLt/JWgUfUyS+hnHNoG8FI/LnO8cRU6nv7sq
R0+gc4JXqxK1xlA2vehNr4hJdPxXp1TT6BjSgMq6ycBplHbCmPWuwQT6ud3z
aPTSNBLuu0JHi5lAV/s5p+SvUFDWku7n790TqDzUlc3Dl4r2bv1xmuXKJNr7
ebP12BkCVfFqBy6mTyGNjdPzvDMEkt46Ev9+ZArFiZ9skjKeQbeaT0YlqUyj
S6fLLh+qnkGw4ZMX/GEaeTB61J9j+YPUZ5qmbqxNoxPZPCKR+/+g+/Qmu+NN
KMh8zKe65OcfNLG29u/xBwrSjxLlb+KfRcsWf1Mez1GQsvx3r7ETs8jTf7Ak
RYWKuDzluPhGZ5EDD8OD3elUxMz2y11N4S9KXX5avfqNilZe3Ciz8P6LIguf
GaSuUdEQ9fepq/N/0WbJcR9Pexpqj48tSTSYQxeq1r8+uE5DDWoGrM9D5pDQ
6az4vOc0VN4ydqKycg79zomYj2qmoSLflNddm+YRV2bJfoO/NPSMcyfTrNU8
Og0lW8u4CZTxlrDfEj+P7Ha97tqsTaDr83s3DHkXkOn+jD76cwS6lLpka3ds
Adm650rkRxDIQ+/ZM6+HC8i8SiuCL5NAJzrtVsKHFlDZ/GYfy0IC2QTQW9+X
XUQ73Lz9jSoJZC5Y+LjYcxGdlrI8TLQQSP/jifnvrxaRwF8V6uk+Aimf2GI1
OruIfN0C992dJJD4v3f3/+kuoQt8zjmRswTifug2wxO0hNTYFh20lgnEgrjM
VfES8ha2pD74R6C1/op7exiXUXjCYc6vGwQiws5PO1kso51l4o/zSD0kIYz8
Y0ldU5BpSc5vr6pPSmheRmfj1pVzlgjU4OI/lsu1giqjBZ6X/yFQOZOMYYX9
CsLU5bi7EwQqymm93Zm5ggKqYkMVfxPo2Z6wwZn+FXRCLWt/aDPp37iKDqv0
KjLr6KLdwQSKv9VzS8JjFQ3Z5kS6vyTQDYXoXoOCVbRYJ3jsXxqBrjToqtvO
rKJTOdO/7W8QyNNrJNxTew3t8LV44X+WQI7sSR03rq6h0O/lEU7WpJ8vkVLm
pzVUES91eJsG6ac1NfQt3T8UzeauFs1B+pdoKTty6x86W7bMPfmNhsQ1FgLW
vv9DWd9ctrbl0BB369NGbo511C0UMXknhIbWuDYu7U5fR1N/vTvTZWloprig
zvH3OnqZfZFzcpGKRg4fE74isYFK/fRDBWqp6Nu9ki/Pnm+gXwY3B5VOUlHj
Vl1WJkc6cFE/0B9Gfu5a93GmNQXTQfHxUy7hRhTUGU2TTb9PBwsJnhx169No
ZFOuuWovHeQztjPIhU2jtX98YQ7H6YFHnbM+//wUYjCe2yYVRA8qbh4eKrJT
iCWw5QE1gx6EQmh8XL2TiGvh1scb3fQwyxTDKrhrEinSlhcKjjIAbf2o/f31
caSu3B7pH8AABfcYRj49H0e6nkXcO9MZoHzbzi9n7MbRzjFPzY5OBgguSvjt
+2QMHe3r8aZ3YIT67J1Ss2qj6FbT55HDR5ggcN646fPWIRTPnnFR/AoTdDy9
9kMjexCl7L3CMH2XCU50NpgmGAyirBpV8bBfTOBzi/G9+KkBVFqedTz/0CZQ
PpheVmz5G42+ut66bssMdx13MPoztKOdCbsrcg+ywJPwdMcs0zIUtrf4eet5
Fjg90spb41iKyjdJJf+7zQIHzh07nB5UhAyD6dztvrPAmnzPxdMeOUjr7Ee2
DUtWuNc95BF/PRlL79KwP7JzCyTqcz25vFCJT69nwfVTW6BGKLA4d/gLfvRh
m2JB2BZQnSNGXjR/xcLqlDV6vAU2E1uZSp/WYx6R3Ccvjdjg2UXvH7b3WzDz
ojCNSYcd9FV1W6+sd2DzotgOtUPswDC7afvYSCe+4b1ScewiO2Tyrvj11Hfh
9eGO5Ndv2OHI7Y5AyYQevNiSZHBCdSuUyjgcerGpH0/ks0S+ldsG7l/Uy599
G8Ky7v7n+/ZsgyJ+K/N/asPYVWLMntV9G3zXupCgnjyMB+59UTyZvQ0MD37b
4DkygrsiQlu2SGyH/E1lDMaNo9hNbWWrxtYdEP8JN6oHT+D9PVE5/KI7gFOe
58SZ1gmsHcVjQqe2AwpZzqQNyU5ipn71c802O4A1bOlZQsMkfhJ/psE7ZQfw
Xp4dkF2bwjGG86cO5+yAB7YHm0Z2TWPfsRvLxqU7QIblZM3H6GkMpg/l2Tt3
wGBAdNDj7RTcT/15M1+IAxRk/HZ8Z6TimvTToknKHJCJlkN+GFHxq90zJQEm
HCAkyd303ZeKQx+wjVqe5IDN2aaKqR1U7G6VHqzuwwEH7FyFHTfT8IF5WW7+
6xxgX173mU2HhoUP7Nw1/oQDws3cL3HF0DDTcnN301sOUMErGe5vaHg629Gv
tJoDPpXSku+203CrzTTrw18c0PVFvvbBMg2XrV19HDnGAY8Pr1UFCxL4SR6z
gfciB6gdPmysbkDgmEMpLYdYOGFMcHBb6WEC+9FJehgLcEJEobYJuw+BjxYU
bkgpcsLRIzMz6rcIDA4m99iMOEHPaSBQ8iGB5Zm+qf7dxwmlukJ2/W8IvOO1
Q033CU6orhUWcP9C4KXjY45V3pyQw9qfXNJK4IHNl+afh3LCrR7izfd+Ate+
pb99J4ETDvBFROdPEfjVyQTpgEecwD0Y5WD9l8CpbCKfnN9wQohGQcS7ZQKH
vsu3s6zihMx038zRfwR2c9GfVmvjhBGkbtu5QeD922tu8I1wQjyPyM0EUmt/
tBPcmOOE+V37jdnI+cJnBt+MbeKC8R+vH+9bIjAT1wWrJl4u6A4TYPvvD4Ep
5WsDJXJcYDykOC80QeA2z5irD/S54GjOEaaXvQQu4+XfEWnFBQ6iLUybmkk/
q3Jyzx3jAr3NoVPSmPTzvBY65MUFJUGTLVtfkn4KVrYbBZPzNRRXK9IIfKzG
+rzUbS5YpzS3oRsENvPr3cT2kAsC9eopsWdJ/xoWtbsxF7y5mDWdpEH6dzny
e2ULF9gaK3z4j5PA/RJcrs8HucAuXDB1dIaGXwWoJl9l5Ibv0ZeX7ubScKrM
J0Vnbm4YWtbJfHeNhkN/WFVZyHBD2Uxh1PvDZH8puP3hteAG+a2dQq6rVLwS
e/nj7yPcUPL94z+nJirOo0VGZrtzg/1ygW5MFhUzFT8T0LzJDTWlpUohxlRc
ZjphduArN9zW0s9XOkXBHo+X2Lh/cUPS/SebNmQomIeJtb17hBtucj+8Ljw5
jX3qFTw9mHhg/qJ4lbnnNJY95JUUvosH+LbEeb93mMI/S4NO7LXjAXahJwJ7
d0zh6wJxshwuPJA5H3doT80k7u0rKHt4gwdeib2JS1SZxMlnaUMfKnngqcWl
YWJyHNNd89WaQbzw/u9mxt2io/jV4PV/pQd5Qb+HJ6qpfAQfN0+qDTnJCzMv
Nw7xOI3gUta3x9mu8UIuvajrbNowPpcyFy5bzguEp0V0Mt0Q7nru//OEMR/Q
n45Lmzb4jYt+hlyu1+cHy8q6r2Oj33FepOvpISt+2KfLWjTe3IAf6u47uHqM
HzxTir+uv6vDMWn8Cioh/CAbORLKEl6NXU687U2s5IcPfuLdYRzvMffIxC6H
vQKgr2B5XEIlG135a8c5flwQNqTzurxt2tC5bMONjXOCYEtfuPnWoZ/o9GEJ
Cn+oINhbKtWr2v9C1u9oX/c+EoTg7bH7O+07kFxQdMCrEUFQKTn28IF5D+pk
wAOXvYXgzrKVh77TIGp6m9MYHyoEzqk29wJaBlG1a1xZboIQiESet7lsNoTe
1BxN6XojBFozIvrBYsMoJmbOwmRBCKSYRbkpDSPIiFOxkOmaMGSanvb51jmO
muiP1TcmCENKw3RNuMYEcv4TPZz6SBj6Fnh4k25NoIiWST6FKmHAZWx1aRqT
qCn+ediBTSIQ2bxT5xX599w5tCuDl1cEkr5uwOUPU2jWm7WkX1YE5Pti37ox
TCO+A2cnfS1F4G+nbO+r+GnkzKZgmxorArt9nvc7JlLQ7IrDuZP3RYAvOHl0
6hsFRUzduin/UgTGJa1+BW+iouf1E2VlTSIQa6FcnuVHRcYf+H+F94vAlsho
HYVnVNSUZ0nsnxGBh9tSk/M6qGg2Kk+qn0MU/rR7RQdp01CEf6dJnqQoqNtm
l9edpCHeMywOvlqiwM3Qw7Nxi4byjuj7GZqLghlh/0HoNQ0Z7fGIYzwsCsuv
Ti4J/aKhJp20Z9/dREH2y2mLf4s05CxTV3H3iihMeCnCZ34CRTDJz8ulicIx
keH/WuwIxDtnv/1PniikFd05JnaeQHnDUQplH0ShNryWYn6TQIZt73aFN4gC
f/jBk+g+gRqrxh3395D1LkqpbX1NIOcivqs8FFHgFY3eKCB5evaxRVLfmig8
kZTJEPlB7nfHvyB3qxjwhvAQjiRP817PrfERFYPNT+l5vEmezvPpGDBQEwNV
HiWrvSRPGzlvXmUAMXhXHUjMkfzbdFCP57uNGIw2xyadI/nYGZ1Ru3tKDMzv
vh1+TfLzrOo9Kyc/MVgS3vyxktQRorUucuFikNXhyJdFzufdthgykywG5UX/
iVqRfP78n2zah2wxSL9hLFxB7mdMPVJ0o0QMKio1I5imyP16b37fVyMGcc9W
Cd5+cr/vpWPcHWKgl8AsvkSeZ/bjGF3fuBjofnVczasiyJzMK5S7JAa1aakJ
im8IFHfgqeB7JnGo+lW+I/QBgQ7v/pgrvFUcGJMturKjCCRq0qZ9nUccvjtS
zz66QKBx7enKURFx6K56cNbvMIFeKzMe3CsrDhTdYznCBgQKkBbqfaUqDt+c
+Xc8FiTQTmGts1x64rBUk1VFv0JDbNz7FvyROBwbdl2FDhr6yeYS3mshDpFZ
p0RPFdHQmdWkBzkO4mCcG+ltfZqGUqwpXwKcxaGeUfgtvyENVTzePXXAQxws
/W61c+2gIX7LJd0Ff3G4e7Bo8FkpFZln/ufYcE0c9JszpMyjqMiHlh/+MEoc
RsIcF4WPUFFdimPLnnviMPatWes2jYLmxksXBLPE4c5ps2bF9xQkbrRDhHgm
Dq0qRad2hFHQ1cGqs/dKxUE4SmKuYgsFKajKM078EocY+zVdYfZpdOT6dYVP
v8Whdqe8vmPdFLrxs/tg4qg4bH4938sYPoW6A2/f158Xh+WZjS9JfydRTO2s
TjS3BPB9KlHWqJpA086fPRTtJMCb7tqL2wJjiL+YN2H9mATMMFDNrMtHkflm
n5LW0xJQGCxYVHlqFN1/KckQ5CcB92+ePd6RPYL2r0RlfrsjAQws4/mOwsPo
ZbJt07kWCfDJLdGUKOhHF2rGtQoPSMIj0cA9Fjt/oAoo8FI+Igl22fct+Y1b
0I6PPk+fO0nCwJ6XD6LPNqHXhcuc2Rckoe+blu787gY0m8Y2m3ZHErb/vcNV
P1mJrnipvb7xSxIGz3cqujRdQ8E7/JWPOErBTiPGkbL9Lfh7jJFrm5sUlP6s
/txu+wOLbKK7b3NeCs4z14eU2bfi8uVbbPuuScEmdxX7RMefmG44Ywo9lgIb
ofTjAfadOLykPE9hVApcGP16P8/1459q4QPPqFKgYp7kGnxhAEvnW/BLL0hB
RoBcpe/wAK5+2BIlulkabvayPvxSO4iZbw25cylIQ6pk7Hfp68M45hizzL9z
0rDtQCiX5usxbKrOvjB5SRoeuSTfm2IZx382cda2B0uDn6DYeQPncezwRuTs
6zhp8FYs/hyxZQLLsOi8dCmQhu6vQslmByZx52/DUJtiaQh5tPBZKGMSx72F
gyafpGEHBFFcRifxrNP+P7zfpWGW5/C8kv8Urihx0WmYlgbWqaUssahpfCn2
LPO7v9IQLjUnS6uZxnKnLnQ8XZUGy0PlMSybKDiePSgghE0GEipsazmCKdhs
KGyvJ5cMVPLy2i0XU/Dcu5tC9kIyMGu0VVKUQsHHXZI+qyvJgFKciCjnYSre
ZpAWL6IlAxuSB3u6b1Jx1baHJ7cYyUCT3961tlIqli97Tj+yVwbmH+2s3MdB
w70Jha0ttjIQPFrbWW1EwwluJU8/H5OBoKZQIxdXGl7YUbn7nqcMcIa/ZWF+
TcP5YzW8EX4yYK6f2bypjYYdP30f9wmUgR9GPzIk5mh4R1Lre8cb5Lhi8Gl7
LgJXn+mM3hsjA0VFd4xz1Ansb9J3TC9JBuhz5k6w7iewIteIknSGDLgo3uG5
4UbgvonJtR1PZEBQ1r99awiB75QTjf+ey8C/T7MqL5IIbJ4y/3DqjQw4Mzyt
c3hG8t7Z1QsdH2TgU128L897Ar9A9GbVlTKwnKLHOVBLYCeezZxv6mVA821+
0btfBOacZh9+8IOs1ysxIHOQwF8rOItjumRAwMGgIGaawFdT+SP9B2XgzK/n
ryJInlY+J3rEdVIGDqU+ZYwmeXrATFruvz8yoPjfy/33SD5O5lNcMlmWgX2x
/HsLSX7eQ1WrV6SXBY7rm3paSL1SpZPBxyoLSwpu/1bJ+a/SjLyYOGRhxmG5
UX2FwKfOmxn/4ZeF3iXbWxfmCMxtbrG1T1wW9rg13XxPIXCdwIG+BnlZSOu/
vZN9mMDBhG3hO3VZUJTws/PqILDaV4ewbH1ZSNzC4dNeT+ChDKf/7oAsfPbJ
97YuI/OAj6tkqKUsfGIRgp95BLba4/nX04Yc92tc9rhL4DUhn2p7B1k44vb8
29YwArvUBrlreMhClnAw1+2DBHY1lrVeuCALQj2PRxe1Cez+pkXno78s3BDv
a4nlJ7BHpsym3VFk/RfqK3W6adhzRwuFNUEW3h0VvHTwPQ17RQb+bEqVhTj+
+LT0FBo+f6H5qcMzWdD9eK281oKGfUYCYkVeyUJrv7LFa1Ea9j0qfXGoRBbQ
Zj6b1r9UfGlXwM5zX2UhJauAvzGNigP5pAavjcgC92n1hqlGCg6Oa6wzp8hC
84z57+lUCg6hv/qadU4WBiUNb5k4UXDY9PdryYxyIOetKTwwPo1v4iuiuZJy
cCW5djZyfArf0pZgPqcoB/KUV7Xnn07h6OffqOqactDtdzfnq+MUjksW/1xm
JgfropfomhoncdKZhuNNznJwJ2DvUGXmBE7pvbQr2UMO7vPrb07eN4Hv/iem
5OAjB2KxzYnzy+M4zejSyuA1OdCwCpG5YTuOH24XTZ9/SO4n8p/e7r+jOP+d
b7vwbzkwEXxG4VoawgXKwuWDI3IwKHBc8WzyEH75uCbnGUUOCiBA8JnKEH4d
K3RZfU0OtggfEiecBnHpya9c5kLywBYlatDm2Y8rNwv853VUHvb97jsueqET
jz1V3dt1Sh4iBUc6Fy91YHYw32XhKQ9PTaxy1APascPVCzpSQfJgVHRQkTnk
JyYmvgr03JeHQeWRJ+qXWrBIg9/Q3gF5uPuzzjjVuQIHxH2/qHhGAcqk5TL+
M61ED+WHzqVdUICIawdSdx/6gqqrF92YrypATD2bzpDHV7Tjn6TD0C0FYNyw
zrp+ux7legcYZ+QrwDybW6HiQAv6ZS27aQtNAe66MNMOt3eilSmjdf8FBQhz
xs4cTV1IPOq/xdF1BWA37T/HUN2NzuHgycrtitDM/UTVLL8XMaq3NQZoKILO
vBmhojaANDjCUicvKYLVjhBZrxfDqIylQ742WBE+bWvdx7ttBO2kU/2YHaEI
fqxzu2IvjKBDRE//yRRFEB66pflRdRRdadRTaH+rCOqR+n+THoyhjer4j28/
KsL+ziP8lPkxdOvT6IE7XxQh/NSY2ND+cZT+Itlvf5siMLGaTyQsjKNP0cTH
qllFmHSaL3TVn0S7r++xfrSiCIsxXs94I0m+v/pgIIRBCXyH7KdMWiZR/5l9
mww4leB8ra1V96kpxLAn17pQQwnSTJ/DD99pFGuyPhBnoAQXiz27376ZRtw6
hy96minBG6dh8SliGslIM6bJ/KcESgGHvu48Q0GWDCcHM32UwIfxfa6ZGRX9
WC65GHBVCUL1RlWdLlLRsT/szPZhSrCrVUr/7VMq8hooU+RMVIJXXJdMV9ep
aK6D4zNxTwn6/T6/m1CgoeBmj4ONWUrwfa73BaMdDcWX8166VagE6XeWNN5n
0RBfqTez+zsl0G6+L3HgCw09elmdtgsrgaNEoQXzKA3J5wgpSdQqQf7Q/YxB
JgK9ue/3eb1JCRjT36j8liR5PaX+YG+7EnR90NZYNCVQVaz40Ic+Jdj5KnJW
5SiB9oX7X7o3pgRbeHR7r/kS6GdgE/NlmhIomElemSb51NFPJt12QQn2/I1y
u0Dy/tjZYCX1dSWo2S/kvaWQQOdPtX3eyqwMKqsC3h8xgRYdFG2mtyrD+4wT
LtebCBRmc32ojkcZ1qzdvY73EIjFsvPSMxFlaEj0K7ccI9AdpLY5QkYZTqlf
f2tJEEhQ72b6KRVlMIh1xscWCPRU9bcS0lGGzrmSS6GrBFKW1S4XNlEGQVum
iLfrBCoWibVZMVeG9LHXH5dJ3jfhGRrq2K8MQ3bMLP+Ruobd4HLJIWUwadC5
+GGNQNZMiZuTTygDn9cRGS0yT3SsjqX7uCrDRO9p1//9nu7810TZ+pwyUHfo
pBwn88hWTrqWn5eUwUnSjIuPzCtl6lUXj4coQ+3SvcsJLQQ6czCCbyhSGXS3
87/5WkEg7vN7PnrEK0O2Xf5I2SsCVcaxnCRSlUGgXsXBJ4P060UDw5UsZfAz
cw4eDyeQUEPcs7VcZfBWr56S8CJQ3YT13vDXytCdHu4mYUOgy5s5aKwflGGz
iE3HuCaBJGXb7iRWKkOGGNj5cxEo2MW+60GrMsxsWQxdaaQhhRsCIdI9yqDP
fl3kby4NtT/qEX8xrAxegsefll+jIfW+kx7v55Qh/nb7Qpc8Df1ek2BH/5TB
o/YWobZCRTFCI4VfN6lA0CNjGbd6Khpx8Fhs5VUBZrs6y6BTVHTHXzHzqJgK
HBv5l+qiSEWmqRTTATkVsLvqOWTwh4LS2nxuUvVVwNb07I+KqxS0e1ZT8ZKZ
CjQw7WEINCDz8o75xhUrFZi/bbdXc2ka7bcO4GE5rgKjv/Y2Fl2YRnT117Ml
Q1RgS/yMcqjFFHo5vsvyeaQKCDMxZX9YmkTHmJkpavEqMNRjKSWSN4mKd8Vo
mWSpQBi7BLpIP4k8ypOq7CtV4OyR7VpMWeOo5e3TgbhNqqD4MmfgVOwICml1
i+DapgpMcv5tHJIjSPGPnHwGryowrnJM2L0bRhGqBRdy5VQh47BEf8HvIaT/
vHi90koVnvzM/y9OcBA9fvhVePG2KiTc8+83fd+N7p9Q7jicqgqFNi4b81+6
UJpg8p3ih6qgdb7392RjJ4pPdWb2K1QF/hJk9a23HQXGrxKUFlUw+xNsbDfR
imxDNb4McamBcMGXNf/Yr4jJ6cHZpnQ14Cs+fTTs8Tu8IcQkrfJEDebyuS9f
+PYRr3R59sXmqwHPvPlX/78YzxzWt7P6qAYNkp0hDqLVuPdAm3F1rxosJyJ6
6uHvuPshE8vv7epwc5YuIUOtHXf+03Nj51aHXelfmDkUO/CvE15VRvzqYPUh
6tsfyU7cItganCGuDguBT0xebe/GNalZf+w11CFNSMLFpO03fhtv2NNqqw4/
T0tIGAcO4dOZ2zaVHVEHsQHc/Kx/CHPmDak+PqYO2aWz//7sGsY+lTE3LpxW
h67AK2ycrCNYea5bgd1PHXY/367RHjGKe+gK7f5eJtc/s1zweGAUx2wND+kO
UIcnzx6MiRmN4QlZpR9518l6jWxFxChjOPto0NXdd9SB/dq27lSTCWznfvCJ
8l11yDLPX3OLn8AMF6W+c6Wrg/H0x2349wR2jvsmNvRIHQS2LGuv+U9iYSxU
G/paHSw9nf9IZUzhb9+IGbdidTj6QNzxS98UDuz8InjgvTpQi3qv1ktM484/
XueFKtThk9XayPKTaZwi/YnnfbM69PypWb9+h4J3aSSirDZ12Phl9ppSR8Gz
Jq5nb3aow2Wq4PijdQq2sWf/fKhfHfbQjet2uVLxhsvAmNEwef76T4b2d6n4
lU/xDqlxdTjGwpXBWU3F7DEnXP/Q1MFtvtpdV5iGP6aqx3fOqsPsQOjd9N0k
/z1leo8X1IHlydcnat40XPepgC1+XR3UZ0NZpktp2L8+TOcygwZIcdf/Y+ui
Ydn2QydPMGuAB3MSm/0yDUcQa0WK2zTg9jmm3y4kb2qttfRycGrAg3olEUmS
R4dYcpiXeTQg4SDjBUYPMh/wBKgPCGjApE2sPfM1AoPkgWO1IhowVGF0VSGF
wISqRMQrCQ3YtF0gwSuXwA+N5l/eldEA6sHaK9/IvHDAsr4jWEEDmIsyZS3r
SB4+9IDeVUUDtEwKigbIvPDilK/SPg0NuNb7e18KmReOnd99WFNHA2ivZ9Bp
Mi+wBglcEzDQgLqCmGUrMi+8j6Lm0ZloQM4VoNtH5oUzKZWt46ABDcn3l1xJ
/ud9fHetyVwD7Luks++R+eDry7OypZYasCHlNDhE6ktlJjYP9mvAtiNNL/as
E7jkWC1Dlw1ZT1tVjjOZFxZWbEq4D2vA0/DGeyZkXtDP7D5jc1QDzGfGiN9k
PQFGroJxjhqw7CRsvpOst6yH+r32lAZ8/i/S1usneb4g/2uM7hpgoa9Lf+wr
gU2E6TWRpwZoHFZ32l5M4NBPMSOB5zUgqsM6K+4RgfEJ7nulfhpwRFFDsi2G
wHT/HljNXiHvI0jy3Igfgc0eyK2pBGmAQ/C6QpUDgW+YvHl19poGxB/nUj9v
TOAvvw1P5YRrwM11usApEQIzhVZzDUZpgNvVu4oG/2g4qrzjqkOiBpysmNxq
X0L2i9MppZQUDUgKqLFUiqfhLRtTv5vTNMC9RGGlh8yjcWh9p8Vj0s/lbP8+
Nhpu7I+av5GjAWn33UN1e8n8G8aRV/5cA7baJ/n451NxYoX0Vt0iDdjDyKtY
BVT8w/kV9i3VgOjBfPs2FirmpNf3e1mmAQ/5s4x7myj4rtm+DukvGrD/9MPY
0UMUnFHl+5jrJ3l+vrSXNlbTuOf0qt3BTg3Qf+LHlE4/jYUZI5ljezVAnn/N
89+7KfxwV5oXw6gGDDK/llYTm8JPq8t1/sxrgGNPyIemjglcUMPW0MSnCU+P
HQpSXBzFVPe7wVuENUGPRSVrJHkUq24WU9sjrgk/V6IFhNVG8RsLzZTP8pqQ
73HEVezUCC6tc3AqMNAE2+hsi13FQxg35MxGH9cEjYkxFmejPlzE3+IbclIT
ngy0WKcc/42z3VdmfFw0IeWRu/l6QC+OYThI2HtpwvEX153z33TjQ4ZL0zJB
mnDAP4FlemsHnnq+d7QyQxN6c4W1NLY2Y+5oomO5i6zn5O4ulSMnEXOHgD31
NzlO69GX+XIHLUubtw8MakJE3C3pydpHqK8i7WftpCaETGmHR1i+Rs+XzH7c
XdYEwYJtEuP0FcjUI6VBQ0ALBqK/+X662YzOWhh8PuugBd8YXVfj/foQTV7g
65sTWnDJzNPl6ul+5Ldl+fuysxbsWPu3k0N+AAU3vu+NPqsFe+7NRBtyDqJE
O/2154FaIPrRpuZRxxDi0eFnmg3Vggq2/+Zf7R5GGbxLbIbhWjDr7Th8vGgY
Pe16J9QQqwUvIkIX/KJGUOlJPaOp+1oAyrYpVWJjyMiMb5fmYy3IqSh4Pnt9
DFVILu4NzNGC4n4j9ZtDY6h+tPTYllfk+/QyzJ8ejqNeL91ARawFvez/leYx
TKJTB3hv+H3Rgnr6Nk8D+0k0proQXVarBb8KLzxZfj6JiD8l6XtbtCCW9wrr
HyuS96/qfPAc1AKLUXMN0YvTKOooT2XRqBaERdGS4t5PI3aj+bqVSS3oyJhr
X1+dRjzrxZ0xs1rwQKisqyeYgjL6UwZaF7TgQJWfk0kZBYlWXpoQXNWCt15S
tonzFCQfob2Uz6gNw/K/Xy27UdFLN266v5u14U2ZNxtLJhVpWsxtNmLXBsO2
tPLFRioy3lLM941bG2rnzT+cU6GhyulkMS4BbUg+x6U0fZSG9jRelDsuog28
sSmWJhE0dDBRS29aRhtOK7cl2LTS0E9fLqSlqA37mvwl2RdoyMHu754gVW3I
a2TUSuQj0G/tNusvmtrQKC5xvFuXQKd53x5h09OGnWsWjhN2BBpfTHKyM9KG
6OFx6ffnCXSuy889E2lDW8PtGguS9/+U2Z4f3qUN0habw+4+INCV+5pXlCy1
YXfDjfdZbwi0GsIZenG/Nvw3UUDn9oXk+5OzkR9ttOFldgPnSCuBmMxabzMe
1obY6pZWoQECRUsW3d13VBsuyFy1Zpsm0DampAfJjtowx3Pw85u/BEoa9c3p
OaUN84W1YdtWCMRX+99LKXeyfs1d0hIk39/P0yjx8tSG8ROCjpMkz9d1udRl
ndeGsBj5vPOkntuS2tPmpw0SYJdRTvK9uHEdbbO/NqwAn0vXIplvvFfojYO0
wbxm1gHPkOd5qMzjc00buKJOLvuME+hJs5N8drg2OG9vmKCR+aSJ7o5RZxT5
vvvNWQMyv6xofLFmj9OGzaxVLHblBJJ1mT8Fidogq3LR3KiAQLYpcpcvpWiD
tcvu0b/3CBT69eitvDTyfsPD/wu9TqD8hdjM3vvaUDa3ztPrQaB2ufJXOx5r
A5/F3Og2awIxHJ2pNM/RhtfK1Ax+DQId/XhoouClNrC7fOt8P0NDEZSbqwNv
tOHoec42O5LvX4t82MZTqg0WDK0pTSTfs4SJ6ISUa0PV+ybC+wgNab85aPmm
ShsivnXJpinSkPPQ9eOjNdpQzZbq/HKNit6bj10/0KwNz342v8zJIPn+Mv/d
623acM/2UGSCOxXtyN2bV9KhDY+cxMd91anoDGthk8iANsSxvHZUK6cg3iZ/
IdqMNhQ9T3Vcr5xGOzeeq0rOa8NoJO8P4dBpdF691+zIMrkeHzXisP40qkkC
j3J6HdD6acWpkDuFLtuzlsRz6oDUbO/b8fOT6NEto7oqXh3wDGxSdheeRN8/
ePcsCOrAilnxinzdBJIWbqU/KaUDArtZ5pMEJ9DPgQxrNW0dWJrKufnkxRii
42w85aKvA/JdCTOUfWNIedfGpXvGOnCr/J/Hy6lRFJ7jkrlhrgNnzi5dfSE1
ijQ9lSeaD+uAQUJEsFPEMLrz9/N1H38dYCw4up9p8wA635p46kSQDhjda/3S
o9WP9r9xMbO8pgMMuzZLNtv3IeYLrPTiUTpw1OCq376MXhQ8dSisOVUHXoY7
anGxdSH3welQ1VId+LKWeXEh9wcybhYIpszpwKyqgN3ig8dI4BXleOeSDlQQ
3YcnbyejhThsVL2mA/an216VzZ9Hb/a6rWYy6cLS9JsN72uZWLbmdeA+bl04
+ifoJ9+tUszx2SIgX0sXYm58OXqougGP5V++4uGnC6J3T10+oNSLj4is9+Vd
0QX7joiFLNHf+GvCTYvJQF2YFbkuPLK9D2dfusfvGa5L5ku9o/+m+/Fp0w9l
Ximkptssa1M9iFtfm0kVpOmCTaZwxy/tIWwm1RBLua8LHMH3fDizh7A4S88J
7xxdEFlpY70TOoz7fqytny/VhSeev4YbJUextXnkmcIyXThoeslC+9Yo/ly6
tYUo1wXHe95XeCij+H6m6GOfWl1Ij+4VVi4cw8fcYJdfpy4ooiJOisQEbuio
e1HUqwshX+YzzgZOYIO9/3H/HdCFhfSal8o/JjC/2unRi5O6oFz/kMMrYBL/
WgqPuryiC69p5ioyxVPY3It9pmSdHL/IfFtxfQoX/05xWGDQg5lxDkbLPdM4
qSpHwZ9ND7bgsoXSlmnMoKOa9G67Hjjoc75a56Rg39zSlUUuPSgM6ST22pH8
Hlf77aqwHhgK/Nna30jBFesHtT+I64FGUvJOUZJv1Hw77y9L60FR/GCRDck/
245Megeq6MHo8+y4ayQfhdb5tpdp6MGEQc2VSyQ/UQ1XTFd19ECl5OLDA+w0
/F2MbUewqR4Mh5haZbnRsHFS8tVPO/WgW7g3hCOBhl8wCQ+u7dEDE6urdsdJ
vhf0z7Yy2acHjEqTjIE9NBwzqVwUclAPHkbqzXiu0/DK8RLBcjs94OBveqQk
RuCzTSbh6/Z6sE/n2dcPJgTuhJpp0xN64H3HV5frGIEt31ofuuasB2xmlbM6
l0i+lun4hF314MW4gqR4HIHl0k7K0J3VAxEuN+6WxwRO3TJxG7z1QLXygpl5
CYGZQ3wWwnz14OrWZ1ZBNQS+Qiw5VV4m9abe+Ysk34+eul5LH6gHxo8v6qkM
EfjQT1b1naF6sN53Qf4ZhcDVe5LSbtzQAwu6SLY+krdH3T82Bt7UgxoLhr9h
JI8zR40wXIzRA7dbMwtKJK/L5W7V94rXg0vp4b/7SJ63rNX1dknSg/Hihdh0
Up8dP/nkeKoeKIrEM58g80DM5ugOuww9GOhK9ZEl88ILuSL2/Q/14FmsK/vy
LIG/W/SYmT/Rg5UjB4x+ThGYeobJ3/iZHgSMPQ15P0DgbbdUCrTz9WAwotDv
Gcn3anlHBpVf6YH1wSedD8nz2tRd45UpIusPux33pJTAvhN5+0RK9eD0T7uY
omwCJ7G0hvGU6YE5awalOZHARfKrJVvLyfu7WkJZDSRwm6X09KYqPfj1LW1I
z4XAcx4HxNe/6kFKe7l5pBVB8uGVwwv1ejAfzpU3qkLgI/V1eOyHHjDHpzqO
zZB5b/LPXN8vPWh7OOET00zDaaxCih1depB95/JmqwIa7rbyTqkd1INjnAIx
os40vHo2tR6PkvMt7GUN9WhYOAavv5vUgxvNv3ICyH50auA4m/dHDyyXrWfP
v6Hiob2lJtH0+hDT+PJO+CgFM3r1+13fpA9qt7uttr2iYOlYlrwAVn3Yzh3J
/+sSBbt/O8bpyaEPoStZSjL/pvHUvo2xvRL6kNveG6m/PIXZzskL75LRh9kY
9xh28vOqHPfff0YK+qC393GDkfcUPv/96UclDX1QPa4S9bl7Es/ut0xkN9MH
TYsgo6YnE5jL2/cr0259uK+w9nrVZgJr385YWbPUBzGFpvXn/8bxlUaKK9VG
Hx59kCx/YDuOVw7cMWhy1odnT++x+U+PYvqD3UMJYfrAPVKRPfR7CNeVH5a6
FKFP8sLt7fjqEE5U/eHicIsc//D8Uzgn+X23rW5EPFEfJk7MiPbtHMTQWDL2
JksfNlLfhbOo9eOwfXem2sr1odbMcvmkciems7Sc5funD20Fl1ydTlXhundf
NNfoDMD0tN7ZwYsVOFEOXRxgMoBPuyqi2rd8xuKbdefy2A2gjUGAk2N/CYYa
qQUDYQP4Oprkucx0D4eZbywfNzKAQaqFJOORD4jOrJT+UYABqJ09FWMc/Asd
Mx9v6AwxAMm9JZrrAe2o2II/heOGAXysi0NqVzqQh3WgbHiMAQQHWHqkn+1C
P46b7nPPNICxhpyq54a/0ZMrNSnKnw3A29jheoTREFoLWHR0qzSAk/V7OMaf
D6EjIfJyD78awHICbWWNdxhtiYj5sL3JAIrKGZOkqcPo4h3rvtk+AzgaLySQ
cmsUmRe0y32gMwSmvT7JbZcn0MPCzX/+MBkCuFbUcX2fQEtF+mWKrIZwjZGO
OUN8EhV8yNh/n8MQItIuqpyqnkQ8tU6+1yQN4ZL7bWWThSnk05Bg+F7WEOjY
O+q2m06jhsYKxj+KhlClMt2xFj6NQn9Kpp7WMoTZertFzi0UNDY4VrbbnJwf
l+xSuE5BMMoXEWppCFop820/dakoY8LywLv9hnBn0Sfpzzkqsiby++UPG4LG
J0d2hjYqypvtyTt11BC+Dr0soDHQEMMCu1+GoyEopdq5VavT0Lu180zs7oZg
t3riuuhNGuKke9Ro7mkIhE3o3/svaegc44/UkPOGsOjanblE8noNM4NzqZ8h
zBWnDaiSvC6+RUuBuGII0sXi1iYkrwdudZ2VCzIE95Dd9yRIXv+54+5H52uG
sLfz/N0uWwKpctdEpIcbQmw8tnTxJtAtvsUDrVGGoLjdoPNTJIFS6uqGq2IN
4eKz+/pBGQTKCsgIeJtA1rf8fvvBlyR/Kp7bnp1sCLInbA30SH4t7THJSbln
CP7Va680GwlUFbfdKDKT9KdI6RZ0k/xrMthyOcsQDKxg5eQogbppRe7uTw3h
aMZdh0QagUazItaO5BoCi1As9495As3YHEmyeGEIOvtuf5ZYJdAavby8fqEh
ZNwSpr9B8jvL2+XP8m8NYc/21vw/JK9zu36zE3hnCMuyLtk+pBbneTDJ+tEQ
xEKezK+T/K5Uc/7aSrkhnHtxrfr+EoF0/YFnusoQ6KeZDv/v/4F2ynO+6Kkx
hMNztqwsUwSy7hqG7w2GIMWeeaq9n+TnmJL2T02GkG3Ct1bSRiBXo6hzL1sN
4UEV3d3crwTyoTgwPGw3hF/pEcwFJQQKfqCYFt9tCMX7Sy2rn5L+Wq+pXOsz
hLyRMN8/CaS/G41fLgwZgg9HarF2IOnv66yjzmOGoHf9uEvCadLfU76EzRTZ
T17tFAYr0l/OXZFmNEOotbn7O1GF9PPS2GvJBbKfz+mUMfyhoW6Z93u4Vgxh
upzOdqqZhkbbo3sZ1w3B2uJF3t8CGlrTV2EZ3WQEHCumipdOkXw/tf7gF6sR
sFDoJwl9GuLKbNGq2WoEEqk74lO30ZDiv4snc3mMYMg/l3K+mIp0X+2evydg
BLV5t0SeRVDRzpN8sbdEjEC0gFOKy46KjlaWlZ6VMQLPe5mNGVMU5OoXt/+Y
ghHIJsjUfXxLQT5STkN7VYygX459p1gQBd2KpN+mrGMEmfPR0R+ZKKjUytKN
Zm4ETywObn/NOI2qVgRW+yyNIDF1iboXT6HGF9OJzfuNYGz56dM9AVNoZGvC
p9eHjADvZsjznZhEXK2/uC66kppeYxNX8QTyOeZStRhuBKp7I6LeM42hbVlT
A8a3jIDS88uy4dEoKhj23bgeZwS9UiPF/xmNovFzYcbsd41AJpPtTp/XCHK6
9qBU/JkROJ395lT5cQjtz+7It6ozgjUv2LrVqA/J0/YlZ7IbQ/5oW/2VO99R
jWbbm4EdxqBEiekpCmpArv7HWmR4jMEg4wMnu2sdyqI7u/W1iDHE6ornv1Kr
RrxcN6OqVY0hZlvCp2bvd4hJvyKIamMMmV6s3wddcvDgdW1XdNcYhutYMk18
27As77Z4n3RjyB7UdFH2+Yk988ffPX5gDAzsqozF3r/wXGsGG9MzY1gZDbSw
dO3ALNL0b+tKjaF1T4BOtkkPVq1ppLftNAZu0fEH5laD+OKxXKXwXmMoifZe
jf8wiN/Twg4XDxiDq4dE/2N5ks/5tJ/zThpDmIRvMwPjMD7kkWHTs2wM5m8q
7QdzR3DgljNZrkIm8PfA1HL/i3GMH0L9XTET4P5v7267TROYSUvwb42UCcTy
hV8Ud5zAt4837lFQNgHGY5qBrzdP4kcFWjSqsQnsmftUsclyCo/CVn4xMxNQ
udg2lZM8hRV/jZnZ7DaBVXq/rRd/k7z9L/1u0QETiMjlFQjzmsa11nQm/k4m
4P+fYki/DwWzD3e55502gRdLhyqcX5J87f82scvdBGgsqZxT4xTcneU+YnTB
BBqfPpxjsqdiMW3Y5n3RBNbLF4fjY6nYtU5A/6G/Cdh77njCUU7FtJnvsXRh
JlCrM9n8V5iGtSKflWhEmMCmj1af9lvR8FWBsP7Tt0zAdLuI752LNPzp5VHW
lDgTWEi+vxln0jD9Ti2tr4kmMKj/+XNrJQ3vaWd3XEgh9ezJhfpRkq89x27K
pZtAUP41gyebSR5LTu+OfmwCV3VzPlDMCbzlF9cPvxwT4BwlMpKdCEzHF197
/LkJeEa9mDx2hcALDizl5i9NwInV1tCM5Glqxo1ilTcmQC3iNd39iMAjvWv5
vCUmEC+7UuVWROBuUf/HG+9NwDy39+3jKgK3OP+5N/HJBPbnxPMvtRC45olX
/I8KUif283j8JvCnkdGIsmpS0/KpM+MkX8o6Bz2tM4Hk0uH1OzMEzvPo9o37
bgJ1xIOvexcJnJV/yONyC+lXIm+P4BrJ85QmJ6efJpD29MM8PcnPcapWhy06
TcAuX3Zyg9Q3fL7sU+8l69ut9Yyb1FeLTHYKDJiAqjDFEMj3z8+902cYMYFc
ppTWG+T6rrqaatPjJnD3wuOSXnL/Y1cLZH5Om8ASV5mV9QSB/yuTFf5MkP3z
u4Cjk6zfcu0R57O/JmAg5Pky8AeBTU2FWBMWTeD+/HKX7hcCa4fd3fBfJf2U
8PXd+pbAilXbF5w3TMCmZ9hzg/RPnCmGYsVoCntk7bu33iYw3x6mYc3NpoAP
vp4x8P8fv4d2CbGZQlzZk9WIkwRmalhqZtpuCkZ/Mt1mdhN4he1iDZXTFHbT
vyoJUSTwzAHqp3ZeU7gmfjVBdSuBf/8YfJ4nagoFYj1r9I00/JPrxKM7kqbg
pBbjJp9Pww2H21MDZU2BjW+YPjCShku7GsL3q5oC/9e44lxdGi4Q2h2oo2kK
m1QGr90i+fqpI/YR1TWF9g8PJx4MUHHi4FvHGRNTuMqnqOQbTsU3pVQPdZmZ
whPi7F1tWyoOdsvbW7XbFLKnHn/WE6Pis5P39VIOmELhnphE1mIK3vknkkPf
0RQW/3Nk0KufxvpadCwSp0g/klNO2cVMY9XLgeusbqaQxq39vsFqGgstn5/u
OWcKuV+oTV1fpvAcncPXa8GmIM7X93A6exI/26EYUJtpClw3aXSfRMex6tjR
JaZHplDxtJ0QqRjD7z5G++/MNoVL2261j50cw3Xuk5c/F5jCoYtLr+oyRvHU
pzy/t59NYaC6OS1xfRirnJU7l9VvCqqvteNyIwZwcaX0SX8pBK1ebYzZN39g
43uH+orlEGhILvzHer0Ffz0X4TirhCA+9uO32Lkm3M43ctxbG4G84NpNkbYG
vOj91MFlN4Jf6wsyPwKrsKGgpO3BMwi+9UgYJRyJxpV+YrvlXiA4Yez8qHq9
Ga3ME4nChQhUWkwaFOdakHZARS/HWwSgKZc7Of4D5V07dWmtDEH0ZBmx7Xsb
Sox7+vRHAwKJLvugY5EdyPmZHEPwFIIasd3qNoV9KENh6YAvDUHS2sbngrh+
9LOgLt19FkFEz9XrW7UHkOXbsxr/rSBolJS/HcQ+iPgHDqtzbQK4mPEw9+Hr
IbRBuXdyghvAhO7pk6sVo+i+atimYV6Af+J+pW+Fx5C+j8eL3/wASdInT6T4
jyG/v/qLrcIAjv826agrjKOx5a74z9IAw5VZ2ChoAoUbVWm/lwVYW9S7yk7y
tXhIfneRPMB/Bw4WOQhNomN0QbJ5ygDfd2QftSmZRE3MwuVJ2gDh/0oTDNun
kJclk+ttXYA+rusNroLTiCWGwkrGH6j7Mew2dmIa7dz6+XCIMYDM76HE/t5p
1G+ds+pvCrBjOHbfQUEKCk68/dgPAKaLT31mPkLyAZcT9Yw5QPyMzy7TOgqy
O7wn+fQeABt/42PvSB6fSVU1cLQEaLtZo+KpRUWKghsRtvsBrGrugs89Kqo9
Pq54wBqgQazB+XMNFbk+aG6xsAHYa7y6oTdHRQ/FHwmbHALYtrRSkm9FQ9ti
NOpUjgC4+cdUdfrQ0LW/VRdFHQA2FC+FGqfSkHPNaMPGcYCz1S/t7vfQUIua
/5UZR7LeZ6EOKas0ZJbOIjl4EoAqPTn8QYBAkueUAqpcAM6YRCfdtCFQ0q9P
0m/dAAZ+FAYrniUQI7JueXoGoDvoRtD8NQJdyusPSjkLoDb4S28shUAjHL5y
kV4A0jwuV1ZzCXQoiKHtsjfALqluPu0PBPo6khzqfgGAfn6WP6GO5FtrGUV7
XwC/O8FJbO0Eevau9JfFRQDZUs8PeYME4pWwvK5/GcCybrDPbZpAUTFdygr+
ZPuKmPns/Eugpb+enQIBAFsylBZNlgnk4bgWviUIoOd5vIDDPwJ11txWWw0G
wNG56Ykkb1upi/VMhwK8mmI+Mk7qsvTXN3vDACYmkqxOkLyuyLhTs/EGQK1D
VCyxQqCMc22/P0cATHpcOviY5H22dtfoVzcBfqcbjfqSeSAYLWhn3QIIZGP7
cIrMC5S8qIGEGABxcXs7XzJPnOAUiAuLA1C/0urwmMwbjUH5er7xAOf1XWNm
yTxiOmo0fCoR4M1X4a9urwj0yrox3jYJIPG1PMNaJoFE3zsZ7koBeMdXdaQ0
ikAJEjOjWqkAnA7ic3d9CUQXe/2OdBrZbwLucvePknw/x2nCk0HGzXe3jzYg
Ag04Zk9sug/At+nQdklpAv1Xq5Oy8ACgwldiMpuZQJoZDtMdjwGk+vW5tWpo
6AnjVGrdU7Lfd9er7XxK8rZ30M4POQAoopgxIpSG5tDD9IznZD/InknJU6Oh
0tFhC8c3AL9sdl99H0xFsgcv/z3wFkCxIrc0ax8V3XvPnGVaQvaTk9RwIz8V
XY1VWBD7QN7vk1JutlcUZKhxIXuoguxfi5X209XTKD+DzqatCuAwQ/W37shp
JMSUtPqlmrwP5WSn4t3TaK292DanDiD3cPXtzIop9Dl4hc6jBWDE/0rG86eT
aKFwbOZGK/l9IGNTJG87idSHWwce/CTXG6ZOjq1PoGyrFxVtnWT/LQ6O6dlN
oBjeE2FoEOCv0PTqz/ExdOT15w3eWYDqtzW3HtcMo8Th54TGHMA9x/pY5hPD
qJ43tX//AsBbO1ZH7pkhZBxyHt9YAWD3mDljyT2EJPeKXaMxmIFqacTmyQMD
iBgOW//KZQaXn9dIcQh2IXk+b9oAjxnQHWtnOCzRiU7vPdq3ymcGm9qvilBl
O1D7a41yDWEz+PtLLPSkyi/0KWQo5IG0GSw+O6hioPCDzL/m/y7pkOslPHb4
3VmJJPZtXpOyN4Nlc4+p2QCMtX/tahU8agbmhUI3wgor8Z6TYXkcx80g2ovl
ycKjL9jz4vKhDSczWI3KNdAPq8XFmdMvu93NYOO6C0OTcjPeQ2k+eeeKGfSv
FmubcXZghyvsureumgGbAavrjrUO7ElnxX4tkKxnu7iv90gnTuCuen8u1AxO
hu/VTn/djTuNizksb5pBTJIIu45OH/a8nfZl/a4ZOKupuQ/6DuFgvl/p8/fM
YOy8Yzlb5xCOf8zhQ0k3gwjPXVZcJsP4bUmMcPcDM5gKKy14zDiC134HXy7J
MYM2fcUsnv+r2MzDqfq6OC4qKhUVJZFQEhlKNO91p3NPJcpQCUWFhEhCgyEp
qWRqkCKkKJJkLrafOUlIyFDm8d57JGOh97x/7uecu75rr7X2fr6f57nHrxsv
Op2zLzmBAYdXZcy79qMbrxkeXfPsJZ1PguF49LYeTMx1rgp5zQAlDzPPysEe
HKxhreKYwQCOzU5Xe9SH47Kjpk9kMeBI2/mPGSF9OJ3Z9NUshwFLNlwVC2jr
w42HjH25eQwIG0bSzy/3Y0UfznfFEgYs5865aPB0AOvM83sjU8aAzx3uF6Fr
ABPh+dclPjJALpl9OVxlEDsk6G2aqWRA9aVTVvovB3H6F9Xb3+vofi17aBQd
wcMhSv89/1PPgHlbrUOL6njYweNIgex3BuwMih5uXcTHiqsDRi1bGfB2rK2i
/QofT7vKS/j8ZABZmONelMrHjaUZG2LaGVB/ffubWx18HHy263hHNwMWERE1
75EAnym8fEmkj66PivWa1Q60n5deel95gAHn/NdUHL0nwGvOvHrD4TGgIEay
zeG9AE/lMSpsBQzo034XbdgmwI2S37sChhhwJkTEXkSEwu9sXP4lDjNgz6qk
j/5KFD6z8KnO4BgDdknOgl5LChPWuobikwyYutq0qZj2m2syPttv/MuAFu1k
d9tgCk+J2fgbTDPArOL7scp4CjdaTEU7/2NAqMDIbiSLjp8anhMyiwk92Sk6
reUUvjtbre6tCBOeHWbfu95A6x0pFNTOYQKzFK7wOinMSTabNyLKhN1xOQsk
BbT/FfqlJDWfCYor824Nj9J6xjd364oz4dTosTMhfynckLDa7PAiJhxKL2QP
zNB88DfzvKcEE/zLFFv/7+/vGhrcfbSECeWtdatr6Of2z7oTc5cxYZTcp3iM
/j17/EpRszQTWj2XKiXQ8RX2LfsxtYIJA3dqApP5tF500oScLBNCprb2nqXz
axhmLkVyTFhyWHhUUE/rEU0brVYzwUT2x/2N/99f5Dny6homFCSe+qZG799e
IHYyTokJTntF+gae0XrMGK+itUzwsuzZ4HiX1nugF9GlwoT8e21Kb2me+ttf
lTZnAxN0zA2vvregcP0u28/r1JkwdWhKJghovdDpXq4GE5wXT/FUFCkc1H1P
2F6LCcnZgWvuzqLw6W3qcrc2McF2Xdvcwh8CzA4q0kvSYUJ9/+JlpTkCvLr9
qFGlLhP2RdX2PgkT4PqbgQGLdjCh6LqyUtUuAU5rUYjT3MWEy765dzQkBDhI
K/vDAcSEb7P8C5xoP89u7PkVxmJClM7GLQ8u0fyq7i2ezmFChZnQ6xtsPv7j
I6XyjcsEPykHi1PifPxWhW2xXJ8JIpwzzuP3efjO5Wb3rQZ0/eXTdDMO8/Dp
L66hZgeY0LnFasplOQ/TeFj62IQJLhvmtY6EDOI7pTNaCpZM0Mhw2ZnpOIDh
XI+23HG6/waoSUGZ9veyVZtWWjNpQ/WfjOB7P7Y4F6WzzIYJD+sNeIXQjzeu
2rlVzIkJu6j1R1v+9uKqcxfR0BU6n09iPw+od2O/VdbA92aC1jrXBKjswrpl
JGPAlwmP3TKDe8904ehVK1hd/kzIsdFud43vxM5lmUTjHSY8OKGboz6vA0vI
jewveMKEd6v0Pz3f1YqLy5oN8qKZsOh34s5jR1uwp2uRYW4MEyYTPpseutCM
28rCDqbH0/Oj8UNr94vv+K2rtmliMhP+wBMJn9Fv2Kj8rEXIByZsJTfl7H1d
icPP95+xamECCijltcg/RCuJS+eMfzChY2KkKfLoMxS3YoEn0caE7Q+WSMcq
J6G0PPXr6l1MkIi5+TnVLANVi7o8nRik67Xhdddbh0K06MnY15C/dPyjPhlf
6qvRg7MBTdem6fnszhOdW1aD5Bgr2t3/MaHR6tE6jcxapN6zTWAhwgLrdM3F
sqF1aJ+Wl5jqAhZURgUY/tBrRDeLRXb9t5IFMau7fUV2/UQSD++x0lexYHCe
TSlvfht6aL92b4I8C75RjWMn3dvQi0Xcw0GKLNh274mV5d52VHLk1jmzDSxY
8vqz0+fuDqSvJuupr86Ciwe0Lg/s6UR100neSIMFNSJlFh3Jnagr7vPttZtY
cHat/cZ9zl1ImC/x4tc2FswOaqesurvRLRyb3LWDBQZ705akox4kGbbpXcMu
Ov6++eIZET1IQc+kII/Bou/TR+eTiF6Erj5sCtzDgt+PmLrNoX2o1Hh9+5V9
LFilUhO3sL0PGazL6XXezwL879FgiUY/OvapacT0IAvihrzfZZT0oytS8osV
zVhw5f7dYOn2AfT57byjyJzWT3XWD1cdRPIGo/EWlnR+FVv1N7gMInyjcvtD
axYkn3b0Ch8fRBJK2dfTT7JgKP/gNoutPGSFn1XX2LCgsTVvv7oHDwlPXLIV
P8OCBcOJ0jUCHjK6Z/tW1ZEF0l8inKNU+OiZltEUcZYFyrk3zlgd4yO2vWrY
VVcWdD3skntfwkf350i1RruxYI74kuh9Y3zUEyu0/oM7CzKStx0oVhaggKaG
vLFLtP6BifPWlwWo0b1IbJkXC0IvvWr0of3h+qVvjLV9WKBpOGl66aMAXXwT
GW1wlQULe96zDfgCVLHvRr/DNRY4f9mtPLmIQiv7zukEXmeBWb1LpKcGhRz8
LX1eBLDAdPFCt4p9FPqgsKeiKJAFvVqF8TxbConn6Ui132bB9ObD3FaaNyzN
FKxmgligvu1zVOQD2i+PLkiSDaH1Ur0llZIoNBM6Pro1jI6Pd2y+kEchQ41O
OHSPBQcHT74Ppv13TEXV7fMPWGA7MRV4rplCQ7a59SERLNCaV/ZCppdCDJEX
a1IiWdA8up8RMETzz9NQx09P6P42j6fmjFOoc4dXVl80CwK6JC6kTlFIp/G0
8NxYFmSy6nQc/v+9rZvJfqVnLJA544r//3+dbxIQAc9ZEHt2mbg6zRfrXqt1
Wiaw4FJyy7ZNNF+471mucfklC/Y+6AqeonmmrFv4YkQSC1Ly9bxu07yzwk9Q
lPGaBdekKyN+tlHIXr5p0dc3LGBYe8ROfqX5JbfEbOgti/Yz7V5NxRSaf/ht
/MJ0Fjjpuu+89o5C5r+fUBsy6fU1g6WjTymUHHxzO5nNAuK9vJX2LQpNqbld
t8llgerWVYnbXCm0v/x4td8HFnBvdTxcfIRC0af2ycbks+BUgKlIxg4KUUJ6
tnkFLPB77NutJkchiFJ821TIgmDL81buUwLU/m2SkCqjz99NWYfgdAHa5Nod
uukjCyKXxwidDBIgv0U1LYafWFD3RWv7slMCpMxNdL31hQVj83X3yi4QILfO
8LyEGvq+mPxw2KOZj0p8fMRKvtLrojkeeS/5yDb7UPS/BhZ8VmkbkQI+eqk6
p8KtjQWXHc/BCRMeql3F+OvUQd8fczdJflrBQ1OLvdTtuljQ/slfz7t5EBmM
jdw166PniV9+q9Z8EI0UdhnvHmIBf8dNjThyAMlnKlzXG6bn5ZlR7ad//Yj7
0iJTa4QFfcZ+nlYZ/SgyuG6F0gQL3mw5NqtVth+BRXGrqBAbnoWV5SfU96Iz
hkKLZwmzgVtY7fv6ai8KZ+6EPyJskD24W4aj1ot61qfH8UTZcHfFusHdl3rQ
ndFndjWL2WD6/O3TUdFu1Hj32q/I1WzQKnWU8+htR8J+WPHeGjYELtNv2O3d
jtQu/DUOUmKDhpLF0rGl7cjb/Hymjwob9HyihfbvbEPK609ePqXJBsUj542T
hFuR83/MORqIDdv4c+TCS76huSOzZP47xoa0Mn1zlaQcNJEacbfLig1vvx8f
6TidgQadNGeLnWSDzV6tAem1b1F1rwVlYMcG6fI0RdCJRZHNWSUtzmy4KHNq
2mNWLNYocnKd8GXD+GPHrG5mCVbwnd0ne40NL6TUvMYty/DSXY8t0XU2CKRi
ayw9PuKJzHLyRiAbtk+fSrkb/xkXvlJavSyMDZU1onZqw7X4UNj3T5rP2NAn
2zF+nNeESUMXhvFzNpj4nzzyvrMZ7xAXzXJPYMNog2rQiu8tWOGGTlxeEhsu
nOn3CMv7gQcuBnvuS2eDdW7PpZot7bhFd53gbCYb6k9HGN1PbMdffn84GZbN
hp2ltmulV3bgdKcBg+8f2FBIjZ/QmOzA3tactXYlbJCH9TItL7qwi3xL5K0y
Njwy1xR9tagbn2x2lUj5SNdv8kjxmFs3Jk1j/o58ZoNkVf0tamcPXrLnb41f
PRv42v+iI3J68ey5YdwXjWzonM1++mBZHx4vXJ/3sYkN5vPj17Q49eGWnYcS
JX6y4ZJdHKks248TtN56R/ey4eS2aY+Z4wP4rNSvyax+Nuxo2K2hnkTzxx+t
CzWDbJj3fSr52sgALihKdZg9xIbUDomhx1cH8Y3EoR65YTYcK46fMioZxPpB
Wif0RthwW6rlhIIoj+ab1CNnJthwv8p6F8+fh6N3DH299ocNq7yTRDsKePiU
gpZh1BQb1IdUGlv+8PBQ/xtOtRAHDnwszKg5zceZVVRBvzAHugzWahU/4eMr
7zR3iszhgKN5+e3kKj4W83qzSXceB5wD1u87qC7AVdbUa8MFHJhjXrFD9IgA
3yM0Ve0XcqD8W6/Ki6sCfFTNOd5vMQfW7UrQVnspwAoSb1Y/keSAbPb2mPAq
Ae4ZEURmLOXA6v0SbS2/BDj5u4b0FykOhBn+85u9lMJbn6WIC6/kgAQVPtpt
QOGZAEGA7CoO9Nk5PH9sT+FiRw2RLfIcuJ8ndlHFj8K3Dp71NlDgQF1kDA6I
oPAB3ZRJO0UO3JufJMhNprC0rMDtqjIH9sTPxOJ8Crf82zgUuY4DyUv7H9+r
onBcl5ND+noOGP9hl2xtof30x9c9nzdwIFA1aGNSL4U1UvjWveockN/Mnz84
ROGRsI2tQpocEDtgmDs+TuFcD6cjK7U58POxHa6eorCvxeuvmzdzwCX+Q/GF
/3/fy+Ab7N/CgVr914976LX4uo0VtnocuCnitlOJ5pPa+U4c320cCNmnUqr2
h8IRVHLBox0c2BGR5S00QuFjdbwd73ZxYN6VgdrYQQor56hnVSIOVG4wPiTR
TuGBKMdNPQwOvDQki/TrKJzql/z6H4vev17Dn8MlFHa3462XITjAOZg+e3M6
hXfqq8dvIjnwUER18c8YCgtrO67W38uBN80zZy1vU7hcKjnSRp8D3GWnn745
T/PNn0EpHwMOFHl0MxrMKGzyUy004gAH6qNV5et3UXhlsYN4mhEH8oMm16Ss
pnBbYlLAJxMObEmbb239T4BfBA0Kdx/igBP7x7LhFgF2dFXznjnCgZSFkU9O
ZAvwxI4kN21LDuwsjjzOPy3A+QqD1N7jHCCaWpYu3C3A/nPUHE5Zc6DpT0zQ
ckkBlvjyyvqhDa2/a77ZJM3PqideGUw7ceB3xqdhw0YeLo/anjrszIHTl4XT
NsbysO33Csm+cxyIKDqqYXKah+MPDNbVXuBAYcY1mcBfg1gBqZsnenFglcc6
vwlqAONLHz5E+XBA7mPb1qv0+TyWqS8ffpWez9U/8lxsBvDjjU7tXtc5kHDw
h/T9un4svSrFzjiIA7v3Gl47G9OHMw7v/kgGc4AyrLmSaNiHTcKrNuwO5cDG
2iMXnKZ7ceh8ir/+Pgdq1FW0kk16sfikptvMEw5UdA6q3BnuxsL1b31fJtPz
c+WF5P2hDhwryeyITuHAHWEFh6lbHRj217LupdLnM2cRm6vcgb2Kh+f6pHMg
0tVQOca4HU+kbQ4y+cCBg+us/snp/8SC4IxH/z5xoH3M3UQNNeLmPTlppoP0
ebDJKxc+VIiZhvFHLvA5IHlxsZrZjgL8yiR45h7FAbMiK18p9AFfOm6zt+43
PS+D026aFe/wyguSHUZTHDhevizbIuQGPhJjL3lgIQHJ5/a0xy7DqOC5SZbz
YgIO+sR8O/b8P7Q+CVkGSxKQO1fIQQMXoYkMqZdVUgSsdDTacFlQhh5++g/2
yxOgaFxtVC9bjerHZFz2ahJQsri9YVK1Ee2emi19RpuAx6YyVjXK39GLWUPv
AzcTcFzP6EinXBNyFy8V/ahHwGpl0xsu81uQlKLrUy4QMF0m8lP/009ksr+i
in2QgFk1K2JzznaiD0YZbqeMCfg6/s5tdlMnUj4Ss9LflNYr1dTsZ3WhkRPu
tkVmBFR++/LoxNJuFO6pOMM4QYD7182Ve2N6UO2zSxvReTr+fXv9CYd+tEQo
M2f7BQIWigU6Q3Y/Mrb4xdH1ICAlrEtrRHgA1S07fWzjZQIOTRzbfyd8ADVc
Nw2WvUaAqUZ8+uzYQbSiI0R2+XUCzrFKujTaBtGR3ZUJSwIIiHt38HOcHA81
jTEL5t2m3++YW3EknIda7LR+jYfR9Ypa5xNpz0erih28ft8jQFP0a3FKJB9Z
KiTMox4QECz68v6vj3z0o1FOsSeSgNGcA2bjigIkv8Uspf0JAeZmHnXp+gJ0
PPTe9tZoAkirssH7bgLUtmeBcV0cAW/oOzQnX4AUXhA/v8QT4PX9MzXWJkDW
wn4On14QcP66l4LhLArFHcsbL00koLb44ze8mkIduRPXCl8RUJexQpu7k0JK
y3Uk8pMJeGX+41znIQqdOu/8JCeFgKsbskfDnCkU/+XV+oxUAj7n3NhqcoNC
3Wo96alpBGRGXq9b+5j21zfXMJLTCWg9YO03N4VCtl0WnxMyCfjtuE9mNJ9C
CRBh9iybgBNl4sFDNA/0PfnaHZ1LQNp3qYnxJgqtn1zkGvmBAAPdoID5PbTf
Nt07cz+fnk85i2AVikKv3l6/FVpAwK2N23wNxig0sPA/6aBCAuy03/b///vc
DWem4m4W0/2eq3Epm/b7DqV6mv6lBLyP+zvzh+aBZMXz733KCYhW33eKoNc8
7xTu5QoCXurpZETSPKHe3P/VvZKu19J02QmaN5z01lq5VtHx9JLajv2ieSfc
iudUTUDXp0aHL30UElCPPe1rCdjOqWPt/UEhDf2G2TZ1dP5r5yyqrqGQc+KS
UKt6ApSrI+5aF1EodbaBnEUjAZK+7on/0mj+sQp8ebiJAJ1D2pZJMRTSzive
YtxCQMjNiUqbOxRylREqNPhBAPvNdV0tdwr9rnFv4nTQ+jXLbv1h0fyjkWbL
6CIg3No/cFqFQm63+MM7e+j6hp56LT2fQmPMUwt0BggIGJ9sDCsXIN2nTx9q
8ujzcrmgZzJegDz+NimpCQgwmWhS9vERoIl3B3cqDhPw39FIf76GAIlv1a1a
OkLAAdeE/uzZ9Hx9WGk1Z4wA+R2OmfmNfEQWd17rm6T7f71GxP8yH1mQ5VJN
fwmYk6A1Z89ePnKpTE74NE1Afug5Z+PlfPSo7sKnlFlceEHExbCTeSjlyFHL
GBEufEzg5Gi78VBhy24qdA4X5vjXtrps56GBLtGlF+ZxQSYwbO7v/wbR9tFH
R3dIcqH17jYXx7wBZHDRm6e+lAtvrc5UGXgOoBPTJ7zlpbjQYDmyKVZ7AN2a
ox43S4YL2uut61887UfNUvn9ZQpcyAmvEE2170NXdDs8TbS4YLWOpdKQ041C
ckvnE5u40Bx1oeinZTeK3530RE+HC4c+DPo9F+pGlYRbwcqtXCgf23XVm9mF
5A7PFWtHXJh9dqPMnOwOlO+x4aGTIRew+J8u5Z8/0L9s14wbZ7nwqtk8w/ZS
NWqZm3Y7zoULc5lBRgsGqlCuyS/rfFcuZAklWiq1ViK3IedFY+5cuMh/33E+
rxz1qTjZ2fhwYWzi8fwnZwpQ7QM7GXYIF162JMx+KH8GP3ez8JqVxoUtSmcY
nJ/V2K/wsbFcOhdudr7pnd9Zg60kmlW3ZXLBc2OvXVh3LV6ZTJN/Lhc22kxt
ftpTh+92HtJsK6Tznf9IHNc3Yk+jg+35X7kwIuQ6MKbZhk1jQrKavnEhVmwo
rfpZG94k+BI01sCFxSPHr/lJt2N+oMF2jRYuaNqJnzOYaMcn/tsXHtXFhTUS
Lm9eJ3fifVoE58ooFyy0YttEa3uw0Ldvs9zGubBDeCYhWrUXZ160yXeY5EL4
3Mn0Kp9erFjkr2c+zYUo3WtN3Sp9+I9pker2OSRYV2rXnLTtx6l/jHq0RUno
+9mcrJfWj22fdsSpziNpnhAP9Zrqx7V9s1bJLCRhCXdj2P47A/jVZVg0sYwE
o5LydzciBrGVQnUFJU3ClLGqvWvDIJYuOR7Qu4IEEVUBL2UZD/st8hFqWEVC
1KkTiQtu8fDWd4vyquRJWCThXKpcyMOCw9EXSxVIEPcT8/Wd4OGjsXnDGcok
nFgTlDN8nI8liP1vXq8jIfOO+bhwKB+XDrQ4PF9PwgqVH/p7Cvh4k85U1z11
En6bbhtwlBHgvsbbsXc0SFh6IfAzmyXA0V6yx/y1SHCyrP7HdRDgeWXbG87r
kCD6TwiXZtB+y6Ei3EGXBHtPjYpdjQLsJnH0wMmtJKSIKqxpmBDgDRn94ubb
Sfi0dKwiZDnt78wufjTaScLF398GT+tQ+MGM2I29u0loy5xbYmlIYf1nEUwm
kKCmIZ7hdJr2l+T6f9uYJJBqBXoPfSiczct6r80m4dC0fU/jPQqfDeV6qhIk
6CvXeWgn0v5Wt0FnDUlC2A6rgqc5FG5qsv21Yi8JBitl0hQ/UjjEZ+y1hD4J
5uuLLHLqaX+tfOOMmAEJTT0D/BMdFJ4ql1IROkBCQNKvVHkehdOcnneOH6Tr
cXfFYt5v2t8v2RJDGZNQcSMwuGKSwvJZxRa9piQI5R9ryJmmcJ25iczPwyS0
Lkh8mUP79VtCXd/qzUiQTTzb+5Few/PzYVXmJETOywoeoN8f2yNiWGpJQvio
L5al/XuyIGxB/nESLueXvLWk/fuJcMXyDGsSXqW54VQ6nxVb0/xfnyRhMtfp
uFQnhataGIznNiRkqV5ad6eBwv5Xa6af2NH1yWWVSVVQePs669x79iScKtyz
5F0uhYcqhtzvOND1v1c3euolhV84+272dyLhm1Svl/oDClsskxi67EzXL0Cj
bv5VCpdZato7nCdBRWd8reRBCi85efp91AW6nu8d86c30XxxOnZhtQcJPkbp
W0OW0PtxXZqmc4Xu/yEoS60QYKan/mw7bxKueEQS7GcCHOR1/dAjXxJueAd6
3bwowMo3x/9M+5Mg2atep7lagF2CtPZrBZBg2Xul6JGAj9+H2T89EUjC8UdS
8wrf87FRVDOrLIiEXVmc5ZaGfOybhu+EPCDh15aBtZsteLgya+JHYQQJH6NO
XZq9koeX52lrj0bSz4fsPbO+DeKUsmffzJ6SECivvqmBGMStLQHySokkBI3t
eflQYgCv7yhwMX1FwjH5s1sW5/djt97JwoBkEs5FzQzft+/H4sMOdrxUeh6e
uMYM5Pbh7aIHUjNySBAsz5Z05PbiG+KBwn3v6fO+xdRxeU8PrpEsNFmZT4Lc
7MDvYtd68OlVOpPehSQcCD442JzVjR9qr2CSn0hII6/9ll3UhUfM2742tZAg
0xAgp+nWhsFaZt3CnySIbQ8wnRn9iW/bGnmidhLgmXP0llk/seK54lXx3SQ8
WquZ806iFR+8kWjjJCAh/2Z5yLTUd/zkdnvW0yF6Xi2P77dZ0oj7QlbOrx0m
YeFngeeUeAP2fXwnRXechLnZZ5eITdfhypgSIftJElx9zu+PH/6Kl7+YMXr8
l4SaI4/u4p5afCJJ7/nnaRKup86Inv1eg1NSXcb//SPBoYchWlxRjf8HqjRS
kQ==
       "]]},
     Annotation[#, "Charting`Private`Tag$5602#2"]& ]}, {}},
  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]],
  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, 50}, {-0.999999957440489, 0.9999976139198091}},
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {
     Scaled[0.05], 
     Scaled[0.05]}},
  Ticks->{Automatic, Automatic}]], "Output",
 CellChangeTimes->{{3.871880365451479*^9, 3.871880379827787*^9}, {
   3.871880425544373*^9, 3.8718804368079453`*^9}, {3.871880489052253*^9, 
   3.871880613125884*^9}, 3.8718806580374126`*^9, {3.8718809482991867`*^9, 
   3.871880973990595*^9}, {3.8718812877642717`*^9, 3.871881329049365*^9}, {
   3.871881380507782*^9, 3.871881429291922*^9}, 3.8718814654791613`*^9, 
   3.871881501100588*^9, {3.871881537018771*^9, 3.871881554293723*^9}, 
   3.872063325615925*^9, {3.872063420330842*^9, 3.87206348850977*^9}, {
   3.872063567759974*^9, 3.872063590708235*^9}, 3.872063626537274*^9, 
   3.8720832846539516`*^9, {3.873450800507988*^9, 3.8734508019607267`*^9}, 
   3.873450846660213*^9, 3.87378243023565*^9, {3.873782466314876*^9, 
   3.873782507323532*^9}, {3.873782574568894*^9, 3.873782612936063*^9}, 
   3.8744066043152933`*^9, 3.874406655490415*^9, 3.87440672682448*^9, 
   3.8744910438855743`*^9, 3.874493787464353*^9, 3.874496457815384*^9, 
   3.874496969788514*^9, 3.874575389693368*^9, 3.874584506913414*^9, 
   3.874643379182371*^9},
 CellLabel->"Out[8]=",ExpressionUUID->"d66364ca-3afc-4ff8-ba35-99c94587bf18"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"Plot", "[", 
  RowBox[{
   RowBox[{"{", 
    RowBox[{
     RowBox[{
      RowBox[{"-", "e"}], "*", 
      RowBox[{"SphericalBesselY", "[", 
       RowBox[{"ang", ",", "e"}], "]"}]}], ",", 
     RowBox[{"Cos", "[", 
      RowBox[{"e", "-", 
       RowBox[{"ang", "*", 
        FractionBox["Pi", "2"]}]}], "]"}]}], "}"}], ",", 
   RowBox[{"{", 
    RowBox[{"e", ",", "0", ",", "50"}], "}"}], ",", 
   RowBox[{"PlotStyle", "->", "sps"}]}], "]"}]], "Input",
 CellChangeTimes->{{3.8737824405463552`*^9, 3.873782451614056*^9}, {
  3.873782628025052*^9, 3.873782714421575*^9}},
 CellLabel->"In[9]:=",ExpressionUUID->"81e93a97-5638-4def-b308-95c66e4d9014"],

Cell[BoxData[
 GraphicsBox[{{{}, {}, 
    TagBox[
     {RGBColor[0, 0, 0], AbsoluteThickness[1.6], Opacity[1.], Dashing[None], 
      LineBox[CompressedData["
1:eJwU2nc0198fB3CEzJK9Knsle6/70rCKb8tMFEJShEokI6GSIiFERUsaVERy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       "]]},
     Annotation[#, "Charting`Private`Tag$5963#1"]& ], 
    TagBox[
     {RGBColor[1, 0, 0], AbsoluteThickness[1.6], Opacity[1.], Dashing[Large], 
      LineBox[CompressedData["
1:eJwUmnc01f8fxxEyG/aq7JXsvd4vJTO+LbNQCEmRFJGMFJUUCSFUWtKgEpI3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       "]]},
     Annotation[#, "Charting`Private`Tag$5963#2"]& ]}, {}},
  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]],
  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, 50}, {-0.9999999812158452, 0.9999999999994794}},
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {
     Scaled[0.05], 
     Scaled[0.05]}},
  Ticks->{Automatic, Automatic}]], "Output",
 CellChangeTimes->{{3.873782625093403*^9, 3.8737826298163147`*^9}, {
   3.8737826629953127`*^9, 3.873782716224052*^9}, 3.8744066573106422`*^9, 
   3.8744937894971943`*^9, 3.874496459825425*^9, 3.8744969723015137`*^9, 
   3.874575391967374*^9, 3.874584508955443*^9, 3.874643381571106*^9},
 CellLabel->"Out[9]=",ExpressionUUID->"5ac48ab4-be7f-4540-a299-281d1ed3902e"]
}, Open  ]],

Cell[BoxData[
 RowBox[{
  RowBox[{"\[Delta]", "[", 
   RowBox[{"e_", ",", "ang_", ",", "r_", ",", "u0_"}], "]"}], ":=", " ", 
  RowBox[{"ArcCot", "[", 
   RowBox[{
    RowBox[{"(", 
     RowBox[{
      RowBox[{
       RowBox[{"SphericalBesselY", "[", 
        RowBox[{"ang", ",", 
         RowBox[{
          RowBox[{"kOut", "[", "e", "]"}], " ", "r"}]}], "]"}], 
       RowBox[{"D", "[", 
        RowBox[{
         RowBox[{"SphericalBesselJ", "[", 
          RowBox[{"ang", ",", 
           RowBox[{
            RowBox[{"kIn", "[", 
             RowBox[{"e", ",", "u0"}], "]"}], "r"}]}], "]"}], ",", "r"}], 
        "]"}]}], " ", "-", " ", 
      RowBox[{
       RowBox[{"SphericalBesselJ", "[", 
        RowBox[{"ang", ",", 
         RowBox[{
          RowBox[{"kIn", "[", 
           RowBox[{"e", ",", "u0"}], "]"}], "r"}]}], "]"}], 
       RowBox[{"D", "[", 
        RowBox[{
         RowBox[{"SphericalBesselY", "[", 
          RowBox[{"ang", ",", 
           RowBox[{
            RowBox[{"kOut", "[", "e", "]"}], " ", "r"}]}], "]"}], ",", "r"}], 
        "]"}]}]}], ")"}], "/", 
    RowBox[{"(", 
     RowBox[{
      RowBox[{
       RowBox[{"SphericalBesselJ", "[", 
        RowBox[{"ang", ",", 
         RowBox[{
          RowBox[{"kOut", "[", "e", "]"}], "r"}]}], "]"}], 
       RowBox[{"D", "[", 
        RowBox[{
         RowBox[{"SphericalBesselJ", "[", 
          RowBox[{"ang", ",", 
           RowBox[{
            RowBox[{"kIn", "[", 
             RowBox[{"e", ",", "u0"}], "]"}], "r"}]}], "]"}], ",", "r"}], 
        "]"}]}], " ", "-", " ", 
      RowBox[{
       RowBox[{"SphericalBesselJ", "[", 
        RowBox[{"ang", ",", 
         RowBox[{
          RowBox[{"kIn", "[", 
           RowBox[{"e", ",", "u0"}], "]"}], "r"}]}], "]"}], 
       RowBox[{"D", "[", 
        RowBox[{
         RowBox[{"SphericalBesselJ", "[", 
          RowBox[{"ang", ",", 
           RowBox[{
            RowBox[{"kOut", "[", "e", "]"}], "r"}]}], "]"}], ",", "r"}], 
        "]"}]}]}], ")"}]}], " ", "]"}]}]], "Input",
 CellChangeTimes->{{3.872063645308598*^9, 3.872063650398775*^9}, {
   3.872063787323573*^9, 3.872064165554227*^9}, {3.872065575373057*^9, 
   3.872065580144125*^9}, {3.87208289534838*^9, 3.872083109573484*^9}, {
   3.8720837640119667`*^9, 3.872083781982345*^9}, {3.872083816770862*^9, 
   3.872083922022285*^9}, {3.872083967701007*^9, 3.872083980142023*^9}, {
   3.8720840241631947`*^9, 3.8720841386156054`*^9}, {3.8720843449961863`*^9, 
   3.872084348569682*^9}, {3.872084378909071*^9, 3.8720843821070223`*^9}, {
   3.873730321036141*^9, 3.873730355318914*^9}, {3.873730437443823*^9, 
   3.8737304515080547`*^9}, {3.873769120241865*^9, 3.873769210914222*^9}, {
   3.873786585540546*^9, 3.87378662616735*^9}, 3.873786695687793*^9, {
   3.8737868066225443`*^9, 3.873786994938554*^9}, {3.87378702737081*^9, 
   3.8737870361601973`*^9}, 3.8737896206766777`*^9, {3.873789652816346*^9, 
   3.873789697143033*^9}, {3.8737897463594303`*^9, 3.873789768042716*^9}, 
   3.873791893753705*^9, {3.873791943519711*^9, 3.873791959518403*^9}, {
   3.873792013494624*^9, 3.873792025842832*^9}, {3.873793868886735*^9, 
   3.873793895276264*^9}, 3.873793927318376*^9, {3.873795716576223*^9, 
   3.8737957346039677`*^9}, {3.874496410284359*^9, 3.874496431182281*^9}, {
   3.874498293997664*^9, 3.8744982953005877`*^9}, {3.8744983674115*^9, 
   3.87449836949916*^9}},
 CellLabel->"In[10]:=",ExpressionUUID->"d800b49f-9b04-4303-885e-198701a8fba7"],

Cell[BoxData[
 RowBox[{
  RowBox[{"myDelta", "[", 
   RowBox[{"e_", ",", "ang_", ",", "u0_"}], "]"}], ":=", " ", 
  RowBox[{"Simplify", "[", 
   RowBox[{
    RowBox[{"\[Delta]", "[", 
     RowBox[{"e", ",", "ang", ",", "r", ",", "u0"}], "]"}], "/.", 
    RowBox[{"r", "->", "range"}]}], "]"}]}]], "Input",
 CellChangeTimes->{{3.872064422267766*^9, 3.87206444280345*^9}, {
   3.8720653832249823`*^9, 3.8720653906911573`*^9}, {3.8720654424395943`*^9, 
   3.872065443404607*^9}, 3.873787124452415*^9, {3.8737923795460577`*^9, 
   3.873792380778249*^9}},
 CellLabel->"In[11]:=",ExpressionUUID->"036b641c-9c8b-4000-ae1a-448fc6136597"],

Cell[CellGroupData[{

Cell[BoxData[{
 RowBox[{
  RowBox[{"myU", " ", "=", " ", 
   RowBox[{"-", "20"}]}], ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"myAng", " ", "=", " ", "0"}], ";"}], "\[IndentingNewLine]", 
 RowBox[{"Plot", "[", 
  RowBox[{
   RowBox[{"{", 
    RowBox[{
     RowBox[{"myDelta", "[", 
      RowBox[{"e", ",", "myAng", ",", 
       RowBox[{"-", "2"}]}], "]"}], ",", 
     RowBox[{"myDelta", "[", 
      RowBox[{"e", ",", "myAng", ",", 
       RowBox[{"-", "5"}]}], "]"}], ",", 
     RowBox[{"myDelta", "[", 
      RowBox[{"e", ",", "myAng", ",", 
       RowBox[{"-", "7"}]}], "]"}]}], "}"}], ",", 
   RowBox[{"{", 
    RowBox[{"e", ",", "0", ",", "40"}], "}"}], ",", 
   RowBox[{"PlotRange", "\[Rule]", "All"}], ",", 
   RowBox[{"PlotStyle", "->", "sps"}]}], "]"}]}], "Input",
 CellChangeTimes->{{3.872064461068593*^9, 3.872064575124584*^9}, {
   3.872085004109158*^9, 3.872085005020536*^9}, {3.8737871402386847`*^9, 
   3.873787155637959*^9}, {3.873787533503502*^9, 3.873787569859894*^9}, {
   3.873792083213573*^9, 3.873792137404635*^9}, {3.873792233034637*^9, 
   3.873792264615947*^9}, {3.87379229683039*^9, 3.873792340634357*^9}, {
   3.873792389433948*^9, 3.8737924135338287`*^9}, {3.873793945091408*^9, 
   3.873793955353887*^9}, {3.8737958552583447`*^9, 3.8737958584751453`*^9}, 
   3.874491388118662*^9},
 CellLabel->"In[12]:=",ExpressionUUID->"6f15ea9b-99d5-4a4e-88e1-2b680fb1bba2"],

Cell[BoxData[
 GraphicsBox[{{{}, {}, 
    TagBox[
     {RGBColor[0, 0, 0], AbsoluteThickness[1.6], Opacity[1.], Dashing[None], 
      LineBox[CompressedData["
1:eJwV13k0Ve0XB3BcmceokAy9SplKJSL2dk8DzcSrTGUmUhQpGiRTIaRIL0VC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       "]]},
     Annotation[#, "Charting`Private`Tag$6670#1"]& ], 
    TagBox[
     {RGBColor[1, 0, 0], AbsoluteThickness[1.6], Opacity[1.], Dashing[Large], 
      LineBox[CompressedData["
1:eJwV03k8Vev3B3AhZShRKbdrKjO5pBCx1jmbcilFhsxDOAnJmF80o7iIQhpR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       "]]},
     Annotation[#, "Charting`Private`Tag$6670#2"]& ], 
    TagBox[
     {RGBColor[0, 0, 1], AbsoluteThickness[1.6], Opacity[1.], Dashing[Medium],
       LineBox[CompressedData["
1:eJwV1nc8VW8cB3CjZDQoFckokqy0tPB87z2UVDTJ3lFKfkI2oSQzGkaLUHak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       "]]},
     Annotation[#, "Charting`Private`Tag$6670#3"]& ]}, {}},
  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]],
  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->{All, All},
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {
     Scaled[0.05], 
     Scaled[0.05]}},
  Ticks->{Automatic, Automatic}]], "Output",
 CellChangeTimes->{{3.8720644803212757`*^9, 3.872064506851513*^9}, {
   3.872064571346196*^9, 3.872064579517775*^9}, 3.872064821279194*^9, 
   3.8720655901531973`*^9, 3.872083121670566*^9, 3.87208329527455*^9, 
   3.87208343093452*^9, 3.8720841648384132`*^9, 3.8720843617630377`*^9, 
   3.87208439485054*^9, 3.872085008546116*^9, 3.8734508115786543`*^9, 
   3.873450856120625*^9, 3.873730372213463*^9, 3.8737304467891083`*^9, {
   3.8737871336105223`*^9, 3.873787159264817*^9}, {3.873787536982912*^9, 
   3.8737875740137053`*^9}, 3.8737920364159822`*^9, 3.873792089597219*^9, 
   3.873792140455243*^9, {3.8737922585205507`*^9, 3.8737922699538183`*^9}, {
   3.8737923001642227`*^9, 3.873792343961972*^9}, 3.873792426565915*^9, {
   3.873793890061267*^9, 3.873793957720366*^9}, {3.873795729676141*^9, 
   3.8737957586299143`*^9}, 3.873795861295813*^9, {3.8744066391614122`*^9, 
   3.874406664637567*^9}, 3.874406732477387*^9, 3.874491052616679*^9, 
   3.874493797842209*^9, 3.874496470510573*^9, 3.874496980840026*^9, 
   3.874498303216597*^9, 3.8744983772264423`*^9, 3.874575399674314*^9, 
   3.8745845170329437`*^9, 3.874643388780966*^9},
 CellLabel->"Out[14]=",ExpressionUUID->"c5f65373-64df-472d-8741-a10399890e66"]
}, Open  ]],

Cell[BoxData[
 RowBox[{
  RowBox[{"CS", "[", 
   RowBox[{"e_", ",", "ang_", ",", "u0_"}], "]"}], ":=", 
  RowBox[{
   FractionBox["1", "100"], 
   FractionBox[
    RowBox[{"4", " ", "\[Pi]", " "}], 
    SuperscriptBox[
     RowBox[{"kOut", "[", "e", "]"}], "2"]], " ", 
   RowBox[{"(", 
    RowBox[{
     RowBox[{"2", "ang"}], " ", "+", "1"}], ")"}], " ", 
   SuperscriptBox[
    RowBox[{"(", 
     RowBox[{"Sin", "[", 
      RowBox[{"myDelta", "[", 
       RowBox[{"e", ",", "ang", ",", "u0"}], "]"}], "]"}], ")"}], 
    "2"]}]}]], "Input",
 CellChangeTimes->{{3.871702689542733*^9, 3.871702718481954*^9}, {
   3.8717027521928997`*^9, 3.8717028506488733`*^9}, {3.872064692026392*^9, 
   3.872064713432551*^9}, {3.8720648075045013`*^9, 3.87206481416335*^9}, {
   3.872065397160803*^9, 3.872065415508048*^9}, {3.872065447049011*^9, 
   3.8720654485861177`*^9}, 3.8720655924892607`*^9, 3.8720656325043077`*^9, {
   3.872065833777644*^9, 3.872065834616434*^9}, {3.872065867221393*^9, 
   3.872065869529162*^9}, {3.872066173038896*^9, 3.872066198590087*^9}, {
   3.872083164871222*^9, 3.872083181421772*^9}, 3.872083220690255*^9, {
   3.872083387215781*^9, 3.872083424265051*^9}, {3.8720844079682703`*^9, 
   3.872084415138112*^9}, {3.872084699641899*^9, 3.872084703138381*^9}, {
   3.8720847966213293`*^9, 3.8720847973941107`*^9}, 3.8737876120283947`*^9, {
   3.874406589007883*^9, 3.8744065943570213`*^9}, 3.874498330574841*^9, {
   3.8745757024134912`*^9, 3.874575707947632*^9}, {3.8745804668090982`*^9, 
   3.874580473855629*^9}, {3.874580505334504*^9, 3.874580527100831*^9}},
 CellLabel->"In[15]:=",ExpressionUUID->"eba599fa-45b7-41f1-be81-be340b9f2765"],

Cell[CellGroupData[{

Cell[BoxData[{
 RowBox[{
  RowBox[{"csAng", " ", "=", " ", "1"}], ";"}], "\[IndentingNewLine]", 
 RowBox[{"Plot", "[", 
  RowBox[{
   RowBox[{"{", 
    RowBox[{
     RowBox[{"CS", "[", 
      RowBox[{"ee", ",", "csAng", ",", 
       RowBox[{"-", "5"}]}], "]"}], ",", 
     RowBox[{"CS", "[", 
      RowBox[{"ee", ",", "csAng", ",", 
       RowBox[{"-", "10"}]}], "]"}], ",", 
     RowBox[{"CS", "[", 
      RowBox[{"ee", ",", "csAng", ",", 
       RowBox[{"-", "15"}]}], "]"}], ",", 
     RowBox[{"CS", "[", 
      RowBox[{"ee", ",", "csAng", ",", 
       RowBox[{"-", "20"}]}], "]"}]}], "}"}], ",", 
   RowBox[{"{", 
    RowBox[{"ee", ",", "0", ",", "40"}], "}"}], ",", 
   RowBox[{"PlotRange", "\[Rule]", "All"}], ",", 
   RowBox[{"PlotStyle", "->", "sps"}]}], "]"}]}], "Input",
 CellChangeTimes->{{3.8717028649961863`*^9, 3.871702887968073*^9}, {
   3.87170294535682*^9, 3.871703044356192*^9}, {3.871703077266426*^9, 
   3.871703077607987*^9}, {3.8718801714491158`*^9, 3.871880209310113*^9}, 
   3.872064670510241*^9, {3.872064716260972*^9, 3.8720647880831757`*^9}, {
   3.8720648287810783`*^9, 3.872065013220315*^9}, {3.872065124910886*^9, 
   3.872065342256804*^9}, {3.872065418717451*^9, 3.872065426642069*^9}, {
   3.87206548157268*^9, 3.8720655283698483`*^9}, {3.872065645672921*^9, 
   3.872065678152123*^9}, {3.872065730857747*^9, 3.872065779862418*^9}, {
   3.872066108986445*^9, 3.872066123057541*^9}, 3.8720831534217567`*^9, 
   3.872083187235692*^9, {3.872083244436311*^9, 3.8720832447462063`*^9}, 
   3.8720833118545218`*^9, {3.872084433334014*^9, 3.8720846051257277`*^9}, {
   3.872084653827442*^9, 3.8720846799264708`*^9}, {3.87208478379985*^9, 
   3.872085150451397*^9}, {3.873450786401164*^9, 3.873450787818837*^9}, {
   3.8734508267954607`*^9, 3.873450827217886*^9}, {3.873450880792933*^9, 
   3.873450898910681*^9}, {3.873787599533704*^9, 3.873787640782876*^9}, {
   3.8737921585251226`*^9, 3.873792245280571*^9}, {3.873794001028269*^9, 
   3.8737940011280413`*^9}, {3.873794032333996*^9, 3.8737941165128937`*^9}, {
   3.873795616165689*^9, 3.8737956399922533`*^9}, {3.874406760440063*^9, 
   3.874406779156231*^9}, {3.874407221444343*^9, 3.87440727825593*^9}, {
   3.874407545192944*^9, 3.874407577853104*^9}, {3.874407793022079*^9, 
   3.8744078940395803`*^9}, {3.874491069872429*^9, 3.874491075963235*^9}, 
   3.874496992231851*^9, 3.87449711987507*^9, {3.874498346516799*^9, 
   3.874498356572147*^9}, {3.874498389168923*^9, 3.874498389261672*^9}},
 CellLabel->"In[16]:=",ExpressionUUID->"d15ee31f-722c-4a79-b9bf-b0ddb3b85de9"],

Cell[BoxData[
 GraphicsBox[{{{}, {}, 
    TagBox[
     {RGBColor[0, 0, 0], AbsoluteThickness[1.6], Opacity[1.], Dashing[None], 
      LineBox[CompressedData["
1:eJwV1mk4VdsfB3DzrVQiTeKYzmQeUma/HwcV5SapSJKMDSqlKzTnniNDKEOZ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       "]]},
     Annotation[#, "Charting`Private`Tag$10671#1"]& ], 
    TagBox[
     {RGBColor[1, 0, 0], AbsoluteThickness[1.6], Opacity[1.], Dashing[Large], 
      LineBox[CompressedData["
1:eJwV1Xc81f8XB3AjCik74y4UpRJR2edwQ0aUVSmRHSUjCpXKSkUSEcWXq4EU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       "]]},
     Annotation[#, "Charting`Private`Tag$10671#2"]& ], 
    TagBox[
     {RGBColor[0, 0, 1], AbsoluteThickness[1.6], Opacity[1.], Dashing[Medium],
       LineBox[CompressedData["
1:eJwVlnk41O33x2XIMoyx1BOh0aNIUhLZz8lkSRLKV08otEwSScgaRbIWhbRa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       "]]},
     Annotation[#, "Charting`Private`Tag$10671#3"]& ], 
    TagBox[
     {RGBColor[0, 1, 0], AbsoluteThickness[1.6], Opacity[1.], Dashing[None], 
      LineBox[CompressedData["
1:eJwVlnc0FY4bxnHtPbKuEalkVEQi8b66DaRNVCg7lVVRiVISsoVIUpJCIqEu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       "]]},
     Annotation[#, "Charting`Private`Tag$10671#4"]& ]}, {}},
  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]],
  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->{All, All},
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {
     Scaled[0.05], 
     Scaled[0.05]}},
  Ticks->{Automatic, Automatic}]], "Output",
 CellChangeTimes->{{3.873794072102227*^9, 3.873794119695024*^9}, {
   3.8737956187294273`*^9, 3.8737956432083178`*^9}, {3.873795748345068*^9, 
   3.8737957653815117`*^9}, 3.873795878695096*^9, {3.874406630707654*^9, 
   3.874406641388542*^9}, {3.874406737751082*^9, 3.87440677188197*^9}, {
   3.8744072720976686`*^9, 3.874407280276093*^9}, {3.874407551550393*^9, 
   3.874407580459165*^9}, {3.874407778807519*^9, 3.8744078901846657`*^9}, {
   3.874491058721566*^9, 3.874491079489895*^9}, 3.874493803055895*^9, 
   3.8744964787182617`*^9, {3.874496986687258*^9, 3.8744969950790157`*^9}, 
   3.874497122941259*^9, {3.874498319221292*^9, 3.874498392114354*^9}, 
   3.874575404663147*^9, 3.874575714028183*^9, {3.87458049872861*^9, 
   3.874580532421237*^9}, 3.8745845227190323`*^9, 3.874643395170041*^9},
 CellLabel->"Out[17]=",ExpressionUUID->"2b73a078-958a-4db5-97c6-3b13b7839335"]
}, Open  ]],

Cell[BoxData[
 RowBox[{
  RowBox[{"A", "[", 
   RowBox[{"e_", ",", "ang_", ",", "u0_"}], "]"}], ":=", 
  FractionBox[
   RowBox[{
    RowBox[{
     RowBox[{"kOut", "[", "e", "]"}], " ", 
     RowBox[{"SphericalBesselJ", "[", 
      RowBox[{"ang", ",", 
       RowBox[{
        RowBox[{"kOut", "[", "e", "]"}], "range"}]}], "]"}], 
     RowBox[{"Cos", "[", 
      RowBox[{"myDelta", "[", 
       RowBox[{"e", ",", "ang", ",", "u0"}], "]"}], "]"}]}], " ", "-", 
    RowBox[{
     RowBox[{"kOut", "[", "e", "]"}], " ", 
     RowBox[{"SphericalBesselY", "[", 
      RowBox[{"ang", ",", 
       RowBox[{
        RowBox[{"kOut", "[", "e", "]"}], " ", "range"}]}], "]"}], 
     RowBox[{"Sin", "[", 
      RowBox[{"myDelta", "[", 
       RowBox[{"e", ",", "ang", ",", "u0"}], "]"}], "]"}]}]}], 
   RowBox[{
    RowBox[{"kIn", "[", 
     RowBox[{"e", ",", "u0"}], "]"}], 
    RowBox[{"SphericalBesselJ", "[", 
     RowBox[{"ang", ",", 
      RowBox[{
       RowBox[{"kIn", "[", 
        RowBox[{"e", ",", "u0"}], "]"}], "range"}]}], "]"}]}]]}]], "Input",
 CellChangeTimes->{{3.8744905724808273`*^9, 3.874490610433394*^9}, {
  3.8744907015492353`*^9, 3.874490730318233*^9}, {3.874490796232191*^9, 
  3.874491008676773*^9}, {3.874491693730549*^9, 3.874491703746397*^9}, {
  3.8744923097046547`*^9, 3.8744923130165663`*^9}, {3.874492603708273*^9, 
  3.8744926142166348`*^9}, {3.874496483578697*^9, 3.874496514434507*^9}, {
  3.874497900915886*^9, 3.874497901113262*^9}, {3.874497959060388*^9, 
  3.8744979617764797`*^9}, {3.8744985327087917`*^9, 3.8744985361920433`*^9}},
 CellLabel->"In[18]:=",ExpressionUUID->"1bd789c1-ff1e-482a-8ee3-6d28b8dd4365"],

Cell[BoxData[
 RowBox[{
  RowBox[{"fIn", "[", 
   RowBox[{"e_", ",", "r_", ",", "ang_", ",", "u0_"}], "]"}], ":=", 
  RowBox[{
   RowBox[{"A", "[", 
    RowBox[{"e", ",", "ang", ",", "u0"}], "]"}], 
   RowBox[{"kIn", "[", 
    RowBox[{"e", ",", "u0"}], "]"}], "r", " ", 
   RowBox[{"SphericalBesselJ", "[", 
    RowBox[{"ang", ",", 
     RowBox[{
      RowBox[{"kIn", "[", 
       RowBox[{"e", ",", "u0"}], "]"}], "r"}]}], "]"}]}]}]], "Input",
 CellChangeTimes->{{3.874491128497808*^9, 3.8744912010805187`*^9}, {
  3.874491250624271*^9, 3.874491250927799*^9}, {3.874491712321295*^9, 
  3.874491712411296*^9}, {3.874492320569138*^9, 3.874492320863624*^9}, {
  3.874492616920412*^9, 3.8744926170751038`*^9}, {3.87449368288767*^9, 
  3.874493683714024*^9}, {3.874496600768959*^9, 3.874496605264613*^9}, {
  3.874497262237154*^9, 3.8744972838103867`*^9}},
 CellLabel->"In[19]:=",ExpressionUUID->"b34b6885-f3e9-46c7-b40c-9e3d7913dae7"],

Cell[BoxData[
 RowBox[{
  RowBox[{"fOut", "[", 
   RowBox[{"e_", ",", "r_", ",", "ang_", ",", "u0_"}], "]"}], ":=", 
  RowBox[{
   RowBox[{
    RowBox[{"kOut", "[", "e", "]"}], "r", " ", 
    RowBox[{"SphericalBesselJ", "[", 
     RowBox[{"ang", ",", 
      RowBox[{
       RowBox[{"kOut", "[", "e", "]"}], "r"}]}], "]"}], 
    RowBox[{"Cos", "[", 
     RowBox[{"myDelta", "[", 
      RowBox[{"e", ",", "ang", ",", "u0"}], "]"}], "]"}]}], " ", "-", " ", 
   RowBox[{
    RowBox[{"kOut", "[", "e", "]"}], "r", " ", 
    RowBox[{"SphericalBesselY", "[", 
     RowBox[{"ang", ",", 
      RowBox[{
       RowBox[{"kOut", "[", "e", "]"}], "r"}]}], "]"}], 
    RowBox[{"Sin", "[", 
     RowBox[{"myDelta", "[", 
      RowBox[{"e", ",", "ang", ",", "u0"}], "]"}], "]"}]}]}]}]], "Input",
 CellChangeTimes->{{3.874491212274316*^9, 3.874491242763981*^9}, {
   3.8744912749237432`*^9, 3.8744913224323387`*^9}, 3.874493681396326*^9, {
   3.874496606806498*^9, 3.874496616193016*^9}, {3.874497602088572*^9, 
   3.8744976023283577`*^9}, {3.874497789055393*^9, 3.8744977906382*^9}, {
   3.874498546539444*^9, 3.8744985786172743`*^9}, {3.8745780816377153`*^9, 
   3.874578082335264*^9}},
 CellLabel->"In[20]:=",ExpressionUUID->"db4db487-96ba-42c4-af20-5155a072d67e"],

Cell[CellGroupData[{

Cell[BoxData[{
 RowBox[{
  RowBox[{"myE", " ", "=", " ", "30"}], ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"myU", " ", "=", " ", 
   RowBox[{"-", "20"}]}], ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"myAng", " ", "=", " ", "1"}], ";"}], "\[IndentingNewLine]", 
 RowBox[{"Plot", "[", 
  RowBox[{
   RowBox[{"{", 
    RowBox[{
     RowBox[{"fIn", "[", 
      RowBox[{"myE", ",", "rr", ",", "myAng", ",", "myU"}], "]"}], ",", 
     RowBox[{"fOut", "[", 
      RowBox[{"myE", ",", "rr", ",", "myAng", ",", "myU"}], "]"}]}], "}"}], 
   ",", 
   RowBox[{"{", 
    RowBox[{"rr", ",", "0.1", ",", "15"}], "}"}], ",", 
   RowBox[{"PlotRange", "\[Rule]", "All"}], ",", 
   RowBox[{"PlotStyle", "->", "sps"}]}], "]"}]}], "Input",
 CellChangeTimes->{{3.874491352995929*^9, 3.8744915150255747`*^9}, {
   3.874491554228052*^9, 3.874491569243903*^9}, {3.874491602943988*^9, 
   3.8744916182614193`*^9}, {3.874491736896052*^9, 3.8744918969428577`*^9}, {
   3.87449192712507*^9, 3.8744920038345118`*^9}, 3.874492050014235*^9, {
   3.874492080146885*^9, 3.8744920815414124`*^9}, {3.874492217979352*^9, 
   3.874492294001769*^9}, 3.874492506188385*^9, {3.874492673945015*^9, 
   3.8744926895098763`*^9}, {3.874497538541848*^9, 3.874497579963182*^9}, {
   3.87449763753211*^9, 3.874497695551379*^9}, {3.874497730575788*^9, 
   3.87449776572703*^9}, {3.874498602952709*^9, 3.874498629673686*^9}, 
   3.874499492401615*^9, {3.874577378328621*^9, 3.874577380301509*^9}, 
   3.874577462967452*^9, {3.874577535754869*^9, 3.874577557947267*^9}, {
   3.874643485943836*^9, 3.874643505272416*^9}},
 CellLabel->"In[43]:=",ExpressionUUID->"fba925bc-a4b1-464a-ab0a-78ae801847ef"],

Cell[BoxData[
 GraphicsBox[{{{}, {}, 
    TagBox[
     {RGBColor[0, 0, 0], AbsoluteThickness[1.6], Opacity[1.], Dashing[None], 
      LineBox[CompressedData["
1:eJwVWHk8VO8bpezZ92QZZjAYylIieh8KidIihIiUomyVtGrx1Z7QRlJKkTWS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       "]]},
     Annotation[#, "Charting`Private`Tag$150086#1"]& ], 
    TagBox[
     {RGBColor[1, 0, 0], AbsoluteThickness[1.6], Opacity[1.], Dashing[Large], 
      LineBox[CompressedData["
1:eJwVl3k8lN8Xxy0lW/Z9EDNiLCMk2nSPUihFWUObFKFooSyl0IYk9SWUbIkU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       "]]},
     Annotation[#, "Charting`Private`Tag$150086#2"]& ]}, {}},
  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]],
  ImagePadding->All,
  ImageSize->{666.75, Automatic},
  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->{{
     Scaled[0.02], 
     Scaled[0.02]}, {
     Scaled[0.05], 
     Scaled[0.05]}},
  Ticks->{Automatic, Automatic}]], "Output",
 CellChangeTimes->{{3.874491430287006*^9, 3.8744914443582563`*^9}, {
   3.8744914999208603`*^9, 3.8744915209998493`*^9}, {3.874491559122386*^9, 
   3.874491577211747*^9}, {3.874491610257955*^9, 3.8744916206304207`*^9}, {
   3.874491730676486*^9, 3.8744917657731028`*^9}, {3.874491823177453*^9, 
   3.874491905660594*^9}, {3.8744919361476183`*^9, 3.874492010790453*^9}, 
   3.874492053947723*^9, 3.874492084212158*^9, 3.874492265185995*^9, 
   3.8744922993376627`*^9, 3.874492335709038*^9, 3.874492509388472*^9, 
   3.874492628389937*^9, {3.8744926822562857`*^9, 3.8744926939411583`*^9}, {
   3.874493726989151*^9, 3.874493746742208*^9}, 3.874493812404025*^9, 
   3.874496527274973*^9, 3.874496624129854*^9, 3.8744974526098557`*^9, {
   3.87449754295918*^9, 3.874497608988656*^9}, {3.874497641844172*^9, 
   3.874497767981215*^9}, 3.874497910928299*^9, 3.87449797222169*^9, {
   3.874498555939604*^9, 3.874498635339286*^9}, 3.87449950450294*^9, 
   3.874575416348661*^9, 3.8745773993022137`*^9, 3.874577470146299*^9, {
   3.874577556985689*^9, 3.874577565076092*^9}, 3.87457908928477*^9, 
   3.874584533995523*^9, 3.874643407900023*^9, {3.874643492027532*^9, 
   3.8746435119483356`*^9}},
 CellLabel->"Out[46]=",ExpressionUUID->"5bb6c898-eef8-4c93-813c-b22a8f757d69"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[{
 RowBox[{
  RowBox[{"myR", " ", "=", " ", "15"}], ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"myU", " ", "=", " ", 
   RowBox[{"-", "15"}]}], ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"myAng", " ", "=", " ", "1"}], ";"}], "\[IndentingNewLine]", 
 RowBox[{"Plot", "[", 
  RowBox[{
   RowBox[{"{", 
    RowBox[{
     RowBox[{"fIn", "[", 
      RowBox[{"ee", ",", "myR", ",", "myAng", ",", "myU"}], "]"}], ",", 
     RowBox[{"fOut", "[", 
      RowBox[{"ee", ",", "myR", ",", "myAng", ",", "myU"}], "]"}]}], "}"}], 
   ",", 
   RowBox[{"{", 
    RowBox[{"ee", ",", "0.1", ",", "40"}], "}"}], ",", 
   RowBox[{"PlotRange", "\[Rule]", "All"}], ",", 
   RowBox[{"PlotStyle", "->", "sps"}]}], "]"}]}], "Input",
 CellChangeTimes->{{3.874492389247303*^9, 3.874492431819092*^9}, {
   3.874492520662472*^9, 3.874492531734673*^9}, {3.874492645296485*^9, 
   3.87449265959258*^9}, {3.8744927060622272`*^9, 3.8744927061246033`*^9}, {
   3.8744927392510147`*^9, 3.8744927447751083`*^9}, {3.874496542863956*^9, 
   3.874496571887682*^9}, {3.874496633917107*^9, 3.874496634014574*^9}, {
   3.874497460063225*^9, 3.874497495314569*^9}, {3.874497622665648*^9, 
   3.8744976286221027`*^9}, 3.8744977809701557`*^9, {3.874497981605178*^9, 
   3.8744980256808853`*^9}, {3.874498565266568*^9, 3.874498592019972*^9}, {
   3.874498646569261*^9, 3.8744986555761833`*^9}, {3.874499514917096*^9, 
   3.87449953846764*^9}, {3.874643512325345*^9, 3.87464353590913*^9}},
 CellLabel->"In[55]:=",ExpressionUUID->"30fd378a-e97c-49ff-b96a-011fbeff0dfc"],

Cell[BoxData[
 GraphicsBox[{{{}, {}, 
    TagBox[
     {RGBColor[0, 0, 0], AbsoluteThickness[1.6], Opacity[1.], Dashing[None], 
      LineBox[CompressedData["
1:eJwVl3c8le8bx5EyQmb2iKLsY2Sd475Cw6hoUGmoVJLILhSVSGkQGsooo1L2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       "]]},
     Annotation[#, "Charting`Private`Tag$191702#1"]& ], 
    TagBox[
     {RGBColor[1, 0, 0], AbsoluteThickness[1.6], Opacity[1.], Dashing[Large], 
      LineBox[CompressedData["
1:eJwVmHk4VV8Xx81kzDyEZA4J15x79+JKKlFIpZIKSWUKRSnih8rULGRoQKVS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       "]]},
     Annotation[#, "Charting`Private`Tag$191702#2"]& ]}, {}},
  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]],
  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->{All, All},
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {
     Scaled[0.05], 
     Scaled[0.05]}},
  Ticks->{Automatic, Automatic}]], "Output",
 CellChangeTimes->{{3.8744924239073*^9, 3.874492434342494*^9}, {
   3.874492525265184*^9, 3.874492534081628*^9}, {3.87449263200832*^9, 
   3.874492663220229*^9}, {3.874492716917364*^9, 3.874492747887972*^9}, {
   3.874493734978797*^9, 3.874493761656227*^9}, 3.874493821373499*^9, {
   3.8744965368050833`*^9, 3.8744965767195997`*^9}, {3.874496630638234*^9, 
   3.87449663775636*^9}, {3.874497457776657*^9, 3.874497497238443*^9}, {
   3.874497614899281*^9, 3.8744976315579853`*^9}, 3.874497784354149*^9, 
   3.8744979163020163`*^9, {3.874497976433652*^9, 3.8744980279944572`*^9}, {
   3.87449856140493*^9, 3.874498596081599*^9}, {3.8744986506660357`*^9, 
   3.874498659561907*^9}, {3.8744995172384863`*^9, 3.874499543395657*^9}, 
   3.874575420536887*^9, 3.874576454174355*^9, 3.874584548965742*^9, 
   3.874643414283586*^9, {3.874643518171014*^9, 3.8746435413715563`*^9}},
 CellLabel->"Out[58]=",ExpressionUUID->"b1d6f99d-b2b7-4cf8-89c9-21fd740767cb"]
}, Open  ]],

Cell[BoxData[
 RowBox[{
  RowBox[{"fOut1", "[", 
   RowBox[{"e_", ",", "r_", ",", "ang_"}], "]"}], ":=", 
  RowBox[{
   RowBox[{"kOut", "[", "e", "]"}], " ", "r", "  ", 
   RowBox[{"SphericalBesselJ", "[", 
    RowBox[{"ang", ",", 
     RowBox[{
      RowBox[{"kOut", "[", "e", "]"}], "r"}]}], "]"}]}]}]], "Input",
 CellChangeTimes->{{3.874578099828415*^9, 3.874578119881692*^9}, {
  3.874578170102661*^9, 3.8745781729058123`*^9}, {3.874578224113624*^9, 
  3.8745782445705442`*^9}},
 CellLabel->"In[59]:=",ExpressionUUID->"02d29a46-a713-4510-a6c4-c7885644ebf8"],

Cell[BoxData[
 RowBox[{
  RowBox[{"TMatriX", "[", 
   RowBox[{"e_", ",", "u_", ",", "ang_"}], "]"}], ":=", 
  RowBox[{
   FractionBox["1", 
    RowBox[{
     RowBox[{"kIn", "[", 
      RowBox[{"e", ",", "u"}], "]"}], 
     RowBox[{"kOut", "[", "e", "]"}]}]], 
   RowBox[{"NIntegrate", "[", " ", 
    RowBox[{
     RowBox[{"u", " ", 
      RowBox[{"fIn", "[", 
       RowBox[{"e", ",", "rr", ",", "ang", ",", "u"}], "]"}], 
      RowBox[{"fOut1", "[", 
       RowBox[{"e", ",", "rr", ",", "ang"}], "]"}]}], " ", ",", 
     RowBox[{"{", 
      RowBox[{"rr", ",", "0", ",", "range"}], "}"}]}], "]"}]}]}]], "Input",
 CellChangeTimes->{{3.8745754357565603`*^9, 3.874575556435472*^9}, {
   3.874575609914709*^9, 3.874575610354085*^9}, {3.874575679988274*^9, 
   3.874575692501854*^9}, {3.8745764407258472`*^9, 3.8745764439720697`*^9}, {
   3.8745770901294737`*^9, 3.874577243690724*^9}, {3.87457734163827*^9, 
   3.874577357371963*^9}, {3.874577625146793*^9, 3.874577640533764*^9}, 
   3.8745777399371223`*^9, {3.87457792446696*^9, 3.8745779410384502`*^9}, {
   3.874578029515486*^9, 3.8745780311769333`*^9}, {3.8745781358115873`*^9, 
   3.87457814829599*^9}, {3.874578855777886*^9, 3.874578885580357*^9}, {
   3.874579508516512*^9, 3.874579541863236*^9}, {3.874579630491661*^9, 
   3.8745796707960176`*^9}, 3.874579875962591*^9, {3.874579987275013*^9, 
   3.8745799875558023`*^9}, 3.8745800379421864`*^9, {3.874580095007987*^9, 
   3.874580115879561*^9}, 3.874580349535874*^9, {3.8745807387762537`*^9, 
   3.874580778974943*^9}, 3.874584642453106*^9},
 CellLabel->"In[60]:=",ExpressionUUID->"330a3de5-975a-4319-bbb3-e67ba931053f"],

Cell[BoxData[""], "Input",
 CellChangeTimes->{{3.874579940838122*^9, 3.87457995611978*^9}, 
   3.874580012041656*^9, {3.8745808070920677`*^9, 3.87458081163946*^9}, 
   3.874584750072596*^9, {3.874643440903295*^9, 3.874643458326692*^9}, {
   3.874643584995323*^9, 
   3.874643610298279*^9}},ExpressionUUID->"70cbfdea-dd92-496d-8c10-\
256ba52aec21"],

Cell[CellGroupData[{

Cell[BoxData[{
 RowBox[{
  RowBox[{"u0", " ", "=", " ", 
   RowBox[{"-", "22"}]}], ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{
   RowBox[{"ang0", " ", "=", " ", "1"}], ";"}], "\t"}], "\[IndentingNewLine]", 
 RowBox[{"Plot", "[", 
  RowBox[{
   SuperscriptBox[
    RowBox[{"TMatriX", "[", 
     RowBox[{"e", ",", "u0", ",", "ang0"}], "]"}], "2"], ",", 
   RowBox[{"{", 
    RowBox[{"e", ",", "0", ",", "50"}], "}"}]}], "]"}]}], "Input",
 CellChangeTimes->{{3.874584661336244*^9, 3.87458467461047*^9}, 
   3.874584733384186*^9, {3.874643366819965*^9, 3.874643367100726*^9}, {
   3.874643561728964*^9, 3.874643669911059*^9}},
 CellLabel->"In[79]:=",ExpressionUUID->"ac7faa5f-86e3-493b-a9af-de5025387958"],

Cell[BoxData[
 GraphicsBox[{{{}, {}, 
    TagBox[
     {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[
      1.], LineBox[CompressedData["
1:eJwV1nc8Vu8bB/CHr/ANEbIyn8eMiJAk55NRT6KeojIesvc4yEjDSEpIUchX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       "]]},
     Annotation[#, "Charting`Private`Tag$384951#1"]& ]}, {}},
  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{0, 0},
  DisplayFunction->Identity,
  Frame->{{False, False}, {False, False}},
  FrameLabel->{{None, None}, {None, None}},
  FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  ImagePadding->All,
  ImageSize->{918., Automatic},
  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, 50}, {0., 400.29627226080436`}},
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {
     Scaled[0.05], 
     Scaled[0.05]}},
  Ticks->{Automatic, Automatic}]], "Output",
 CellChangeTimes->{
  3.874584679169091*^9, 3.8745847376323347`*^9, 3.874643368809701*^9, {
   3.874643431596963*^9, 3.874643463104959*^9}, {3.874643571459279*^9, 
   3.874643579152568*^9}, {3.874643614360291*^9, 3.874643674957877*^9}},
 CellLabel->"Out[81]=",ExpressionUUID->"63f508fe-d80f-4b13-903a-57390834347a"]
}, Open  ]]
},
WindowSize->{1389.75, 768.75},
WindowMargins->{{0, Automatic}, {0, Automatic}},
FrontEndVersion->"13.0 for Linux x86 (64-bit) (December 2, 2021)",
StyleDefinitions->"Default.nb",
ExpressionUUID->"3e3ae8a2-6cbb-4d2f-baee-671dff956548"
]
(* End of Notebook Content *)

(* Internal cache information *)
(*CellTagsOutline
CellTagsIndex->{}
*)
(*CellTagsIndex
CellTagsIndex->{}
*)
(*NotebookFileOutline
Notebook[{
Cell[558, 20, 1183, 22, 92, "Input",ExpressionUUID->"502c7901-c122-4614-8b72-a04caf16b1e2"],
Cell[1744, 44, 1296, 35, 51, "Input",ExpressionUUID->"8acf02de-4007-4da0-99ab-5688c509e7b2"],
Cell[3043, 81, 488, 10, 50, "Input",ExpressionUUID->"e4eb0afd-6ac9-4727-a316-8fe76f4fcecb"],
Cell[3534, 93, 603, 13, 50, "Input",ExpressionUUID->"8fe4d871-c7e0-46fe-8f61-898f90834b8b"],
Cell[CellGroupData[{
Cell[4162, 110, 1319, 28, 90, "Input",ExpressionUUID->"221cdf39-c3eb-4a84-8500-19e402ba9a9a"],
Cell[5484, 140, 66270, 1106, 230, "Output",ExpressionUUID->"d66364ca-3afc-4ff8-ba35-99c94587bf18"]
}, Open  ]],
Cell[CellGroupData[{
Cell[71791, 1251, 672, 18, 46, "Input",ExpressionUUID->"81e93a97-5638-4def-b308-95c66e4d9014"],
Cell[72466, 1271, 63218, 1057, 230, "Output",ExpressionUUID->"5ac48ab4-be7f-4540-a299-281d1ed3902e"]
}, Open  ]],
Cell[135699, 2331, 3442, 81, 75, "Input",ExpressionUUID->"d800b49f-9b04-4303-885e-198701a8fba7"],
Cell[139144, 2414, 629, 13, 29, "Input",ExpressionUUID->"036b641c-9c8b-4000-ae1a-448fc6136597"],
Cell[CellGroupData[{
Cell[139798, 2431, 1397, 31, 71, "Input",ExpressionUUID->"6f15ea9b-99d5-4a4e-88e1-2b680fb1bba2"],
Cell[141198, 2464, 20720, 361, 230, "Output",ExpressionUUID->"c5f65373-64df-472d-8741-a10399890e66"]
}, Open  ]],
Cell[161933, 2828, 1655, 33, 47, "Input",ExpressionUUID->"eba599fa-45b7-41f1-be81-be340b9f2765"],
Cell[CellGroupData[{
Cell[163613, 2865, 2552, 46, 51, "Input",ExpressionUUID->"d15ee31f-722c-4a79-b9bf-b0ddb3b85de9"],
Cell[166168, 2913, 25942, 449, 242, "Output",ExpressionUUID->"2b73a078-958a-4db5-97c6-3b13b7839335"]
}, Open  ]],
Cell[192125, 3365, 1638, 39, 49, "Input",ExpressionUUID->"1bd789c1-ff1e-482a-8ee3-6d28b8dd4365"],
Cell[193766, 3406, 930, 20, 29, "Input",ExpressionUUID->"b34b6885-f3e9-46c7-b40c-9e3d7913dae7"],
Cell[194699, 3428, 1250, 29, 29, "Input",ExpressionUUID->"db4db487-96ba-42c4-af20-5155a072d67e"],
Cell[CellGroupData[{
Cell[195974, 3461, 1665, 33, 92, "Input",ExpressionUUID->"fba925bc-a4b1-464a-ab0a-78ae801847ef"],
Cell[197642, 3496, 42167, 711, 429, "Output",ExpressionUUID->"5bb6c898-eef8-4c93-813c-b22a8f757d69"]
}, Open  ]],
Cell[CellGroupData[{
Cell[239846, 4212, 1549, 31, 92, "Input",ExpressionUUID->"30fd378a-e97c-49ff-b96a-011fbeff0dfc"],
Cell[241398, 4245, 33123, 562, 230, "Output",ExpressionUUID->"b1d6f99d-b2b7-4cf8-89c9-21fd740767cb"]
}, Open  ]],
Cell[274536, 4810, 561, 13, 29, "Input",ExpressionUUID->"02d29a46-a713-4510-a6c4-c7885644ebf8"],
Cell[275100, 4825, 1625, 32, 47, "Input",ExpressionUUID->"330a3de5-975a-4319-bbb3-e67ba931053f"],
Cell[276728, 4859, 347, 6, 29, "Input",ExpressionUUID->"70cbfdea-dd92-496d-8c10-256ba52aec21"],
Cell[CellGroupData[{
Cell[277100, 4869, 709, 17, 73, "Input",ExpressionUUID->"ac7faa5f-86e3-493b-a9af-de5025387958"],
Cell[277812, 4888, 8672, 161, 607, "Output",ExpressionUUID->"63f508fe-d80f-4b13-903a-57390834347a"]
}, Open  ]]
}
]
*)