46 1 ,  1 ,  2 ,  2 ,  3 ,    3 ,  4 ,  4 ,  3 ,  4 ,  
 
   48 5 ,  5 ,  6 ,  6 ,  6 ,    6 ,  6 ,  7 ,  8 ,  8 ,  
 
   50 9 ,  9 ,  9 ,  9 ,  9 ,    9 ,  9 , 10 , 10 , 10 ,  
 
   5211 , 11 , 11 , 11 , 11 ,   12 , 13 , 13 , 14 , 14 ,  
 
   5414 , 14 , 14 , 14 , 14 ,   15 , 15 , 15 , 16 , 16 ,  
 
   5816 , 16 , 16 , 17 , 18 ,   18 , 19 , 19 , 19 , 19 ,  
 
   6019 , 19 , 19 , 20 , 19 ,   19 , 19 , 19 , 19 , 20 ,  
 
   6221 , 21 , 21 , 21 , 21 ,   21 , 21 , 21 , 22 , 22 ,  
 
   6423 , 23 , 23 , 23 , 24 ,   24 , 25 , 25 , 26 , 26 ,  
 
   6627 , 27 , 27 , 26 , 26 ,   27 , 27 , 26 , 26 , 26    
 
   78       1,    2,    3,    5,    7,   10,   13,   17,   21,   24,  
 
   79      28,   33,   38,   44,   50,   56,   62,   68,   75,   83,  
 
   80      91,  100,  109,  118,  127,  136,  145,  154,  164,  174,  
 
   81     184,  195,  206,  217,  228,  239,  251,  264,  277,  291,  
 
   82     305,  319,  333,  347,  361,  375,  390,  405,  420,  436,  
 
   83     452,  468,  484,  500,  517,  535,  553,  572,  591,  610,  
 
   84     629,  648,  667,  686,  706,  725,  744,  763,  782,  801,  
 
   85     821,  842,  863,  884,  905,  926,  947,  968,  989, 1011,  
 
   86    1033, 1056, 1079, 1102, 1125, 1149, 1173, 1198, 1223, 1249,  
 
   87    1275, 1302, 1329, 1356, 1382, 1408, 1435, 1462, 1488, 1514
 
  110  192.0 , 12.93 , 8.3 ,
 
  113  288.0 , 16.59 , 11.26 ,
 
  116  403.0 , 37.3 , 20.33 , 14.53 ,
 
  119  543.1 , 41.6 , 28.48 , 13.62 ,
 
  122  696.7 , 37.85 , 17.42 ,
 
  125  870.1 , 48.47 , 21.66 , 21.56 ,
 
  128  1075.0 , 66.0 , 34.0 , 34.0 , 5.14 ,
 
  131  1308.0 , 92.0 , 54.0 , 54.0 , 7.65 ,
 
  134  1564.0 , 121. , 77.0 , 77.0 , 10.62 , 5.99 ,
 
  137  1844.0 , 154.0 , 104.0 , 104.0 , 13.46 , 8.15 ,
 
  140  2148.0 , 191.0 , 135.0 , 134.0 , 16.15 , 10.49 ,
 
  143  2476.0 , 232.0 , 170.0 , 168.0 , 20.20 , 10.36 ,
 
  146  2829.0 , 277.0 , 208.0 , 206.0 , 24.54 , 12.97 ,
 
  149  3206.3 , 326.5 , 250.6 , 248.5 , 29.24 , 15.94 , 15.76 ,
 
  152  3610.0 , 381.0 , 299.0 , 296.0 , 37.0 , 19.0 , 18.7 , 4.34 ,
 
  155  4041.0 , 441.0 , 353.0 , 349.0 , 46.0 , 28.0 , 28.0 , 6.11 ,
 
  158  4494.0 , 503.0 , 408.0 , 403.0 , 55.0 , 33.0 , 33.0 , 8.0 , 6.54 ,
 
  161  4966.0 , 567.0 , 465.0 , 459.0 , 64.0 , 39.0 , 38.0 , 8.0 , 6.82 ,
 
  164  5465.0 , 633.0 , 525.0 , 518.0 , 72.0 , 44.0 , 43.0 , 8.0 , 6.74 ,
 
  167  5989.0 , 702.0 , 589.0 , 580.0 , 80.0 , 49.0 , 48.0 , 8.25 , 6.77 ,
 
  170  6539.0 , 755.0 , 656.0 , 645.0 , 89.0 , 55.0 , 53.0 , 9.0 , 7.43 ,
 
  173  7112.0 , 851.0 , 726.0 , 713.0 , 98.0 , 61.0 , 59.0 , 9.0 , 7.87 ,
 
  176  7709.0 , 931.0 , 800.0 , 785.0 , 107.0 , 68.0 , 66.0 , 9.0 , 7.86 ,
 
  179  8333.0 , 1015.0 , 877.0 , 860.0 , 117.0 , 75.0 , 73.0 , 10.0 , 10.0 ,
 
  183  8979.0 , 1103.0 , 958.0 , 938.0 , 127.0 , 82.0 , 80.0 , 11.0 , 10.4 ,
 
  187  9659.0 , 1198.0 , 1047.0 , 1024.0 , 141.0 , 94.0 , 91.0 , 12.0 , 11.2 ,
 
  191  10367.0 , 1302.0 , 1146.0 , 1119.0 , 162.0 , 111.0 , 107.0 , 21.0 ,
 
  195  11103.0 , 1413.0 , 1251.0 , 1220.0 , 184.0 , 130.0 , 125.0 , 33.0 ,
 
  199  11867.0 , 1531.0 , 1362.0 , 1327.0 , 208.0 , 151.0 , 145.0 , 46.0 ,
 
  203  12658.0 , 1656.0 , 1479.0 , 1439.0 , 234.0 , 173.0 , 166.0 , 61.0 ,
 
  204     60.0 ,   20.15 ,   9.75 ,
 
  207  13474.0 , 1787.0 , 1602.0 , 1556.0 , 262.0 , 197.0 , 189.0 , 77.0 ,
 
  208     76.0 ,   23.8 ,   11.85 ,
 
  211  14326.0 , 1924.6 , 1730.9 , 1678.4 , 292.8 , 222.2 , 214.4 , 95.0 ,
 
  212     93.8 ,   27.51 ,  14.65 ,  14.0 ,
 
  215  15200.0 , 2068.0 , 1867.0 , 1807.0 , 325.0 , 251.0 , 242.0 , 116.0 ,
 
  216    114.0 ,   32.0 ,   16.0 ,   15.3 ,   4.18 ,
 
  219  16105.0 , 2219.0 , 2010.0 , 1943.0 , 361.0 , 283.0 , 273.0 , 139.0 ,
 
  220    137.0 ,   40.0 ,   23.0 ,   22.0 ,   5.69 ,
 
  223  17038.0 , 2375.0 , 2158.0 , 2083.0 , 397.0 , 315.0 , 304.0 , 163.0 ,
 
  224    161.0 ,   48.0 ,   30.0 ,   29.0 ,   6.48,   6.38 ,  
 
  227  17998.0 , 2536.0 , 2311.0 , 2227.0 , 434.0 , 348.0 , 335.0 , 187.0 ,
 
  228    185.0 ,   56.0 ,   35.0 ,   33.0 ,   8.61 ,  6.84 ,
 
  231  18986.0 , 2702.0 , 2469.0 , 2375.0 , 472.0 , 382.0 , 367.0 , 212.0 ,
 
  232    209.0 ,   62.0 ,   40.0 ,   38.0 ,   7.17 ,  6.88 ,
 
  235  20000.0 , 2872.0 , 2632.0 , 2527.0 , 511.0 , 416.0 , 399.0 , 237.0 ,
 
  236    234.0 ,   68.0 ,   45.0 ,   42.0 ,   8.56 ,  7.10 ,
 
  239  21044.0 , 3048.0 , 2800.0 , 2683.0 , 551.0 , 451.0 , 432.0 , 263.0 ,
 
  240    259.0 ,   74.0 ,   49.0 ,   45.0 ,   8.6 ,   7.28 ,
 
  243  22117.0 , 3230.0 , 2973.0 , 2844.0 , 592.0 , 488.0 , 466.0 , 290.0 ,
 
  244    286.0 ,   81.0 ,   53.0 ,   49.0 ,   8.5 ,   7.37 ,
 
  247  23220.0 , 3418.0 , 3152.0 , 3010.0 , 634.0 , 526.0 , 501.0 , 318.0 ,
 
  248    313.0 ,   87.0 ,   58.0 ,   53.0 ,   9.56 ,  7.46 ,
 
  251  24350.0 , 3611.0 , 3337.0 , 3180.0 , 677.0 , 565.0 , 537.0 , 347.0 ,
 
  252    342.0 ,   93.0 ,   63.0 ,   57.0 ,   8.78 ,  8.34 ,  7.52 ,
 
  255  25514.0 , 3812.0 , 3530.0 , 3357.0 , 724.0 , 608.0 , 577.0 , 379.0 ,
 
  256    373.0 ,  101.0 ,   69.0 ,   63.0 ,  11.0 ,  10.0 ,   7.58 ,
 
  259  26711.0 , 4022.0 , 3732.0 , 3542.0 , 775.0 , 655.0 , 621.0 , 415.0 ,
 
  260    408.0 ,  112.0 ,   78.0 ,   71.0 ,  14.0 ,  13.0 ,   8.99 ,
 
  263  27940.0 , 4242.0 , 3943.0 , 3735.0 , 830.0 , 707.0 , 669.0 , 455.0 ,
 
  264    447.0 ,  126.0 ,   90.0 ,   82.0 ,  21.0 ,  20.0 ,  10.0 ,   5.79 ,
 
  267  29200.0 , 4469.0 , 4160.0 , 3933.0 , 888.0 , 761.0 , 719.0 , 497.0 ,
 
  268    489.0 ,  141.0 ,  102.0 ,   93.0 ,  29.0 ,  28.0 ,  12.0 ,   7.34 ,
 
  271  30419.0 , 4698.0 , 4385.0 , 4137.0 , 949.0 , 817.0 , 771.0 , 542.0 ,
 
  272    533.0 ,  157.0 ,  114.0 ,  104.0 ,  38.0 ,  37.0 ,  15.0 ,   8.64 ,
 
  275  31814.0 , 4939.0 , 4612.0 , 4347.0 , 1012.0 , 876.0 , 825.0 , 589.0 ,
 
  276    578.0 ,  174.0 ,  127.0 ,  117.0 ,   48.0 ,  46.0 ,  17.84 ,  9.01 ,
 
  279  33169.0 , 5188.0 , 4852.0 , 4557.0 , 1078.0 , 937.0 , 881.0 , 638.0 ,
 
  280    626.0 ,  193.0 ,  141.0 ,  131.0 ,   58.0 ,  56.0 ,  20.61 , 10.45 ,
 
  283  34570.0 , 5460.0 , 5110.0 , 4790.0 , 1148.7 , 1002.1 , 940.6 , 689.0 ,
 
  284    676.4 ,  213.2 ,  157.0 ,  145.5 ,   69.5 ,   67.5 ,  23.39 , 13.43 ,
 
  288  35985.0 , 5714.0 , 5359.0 , 5012.0 , 1220.0 , 1068.0 , 1000.0 , 742.0 ,
 
  289    728.0 ,  233.0 ,  174.0 ,  164.0 ,   81.0 ,   79.0 ,   25.0 ,  14.0 ,
 
  293  37441.0 , 5989.0 , 5624.0 , 5247.0 , 1293.0 , 1138.0 , 1063.0 , 797.0 ,
 
  294    782.0 ,  254.0 ,  193.0 ,  181.0 ,   94.0 ,   92.0 ,   31.0 ,  18.0 ,
 
  298  38925.0 , 6266.0 , 5891.0 , 5483.0 , 1365.0 , 1207.0 , 1124.0 , 851.0 ,
 
  299    834.0 ,  273.0 ,  210.0 ,  196.0 ,  105.0 ,  103.0 ,   36.0 ,  22.0 ,
 
  303  40443.0 , 6548.0 , 6164.0 , 5723.0 , 1437.0 , 1275.0 , 1184.0 , 903.0 ,
 
  304    885.0 ,  291.0 ,  225.0 ,  209.0 ,  114.0 ,  111.0 ,   39.0 ,  25.0 , 
 
  308  41991.0 , 6835.0 , 6440.0 , 5964.0 , 1509.0 , 1342.0 , 1244.0 , 954.0 ,
 
  309    934.0 ,  307.0 ,  238.0 ,  220.0 ,  121.0 ,  117.0 ,   41.0 ,
 
  310     27.0 ,   24.0 ,    6.0 ,  5.42  ,
 
  313  43569.0 , 7126.0 , 6722.0 , 6208.0 , 1580.0 , 1408.0 , 1303.0 , 1005.0 ,
 
  314    983.0 ,  321.0 ,  250.0 ,  230.0 ,  126.0 ,  122.0 ,   42.0 ,
 
  315     28.0 ,   25.0 ,    6.0 ,  5.49 ,
 
  318  45184.0 , 7428.0 , 7013.0 , 6459.0 , 1653.0 , 1476.0 , 1362.0 , 1057.0 ,
 
  319   1032.0 ,  325.0 ,  261.0 ,  240.0 ,  131.0 ,  127.0 ,   43.0 ,
 
  320     28.0 ,   25.0 ,    6.0 ,   5.55 ,
 
  323  46834.0 , 7737.0 , 7312.0 , 6716.0 , 1728.0 , 1546.0 , 1422.0 , 1110.0 ,
 
  324   1083.0 ,  349.0 ,  273.0 ,  251.0 ,  137.0 ,  132.0 ,   44.0 ,
 
  325     29.0 ,   25.0 ,    6.0 ,    5.63 ,
 
  328  48519.0 , 8052.0 , 7617.0 , 6977.0 , 1805.0 , 1618.0 , 1484.0 , 1164.0 ,
 
  329   1135.0 ,  364.0 ,  286.0 ,  262.0 ,  143.0 ,  137.0 ,   45.0 ,
 
  330     30.0 ,   26.0 ,    6.0 ,    5.68 ,
 
  333  50239.0 , 8376.0 , 7930.0 , 7243.0 , 1884.0 , 1692.0 , 1547.0 , 1220.0 ,
 
  334   1189.0 ,  380.0 ,  300.0 ,  273.0 ,  150.0 ,  143.0 ,   46.0 ,
 
  335     31.0 ,   27.0 ,    6.16 ,   6.0 ,    6.0 ,
 
  338  51996.0 , 8708.0 , 8252.0 , 7514.0 , 1965.0 , 1768.0 , 1612.0 , 1277.0 ,
 
  339   1243.0 ,  398.0 ,  315.0 ,  285.0 ,  157.0 ,  150.0 ,   48.0 ,
 
  340     32.0 ,   28.0 ,    6.0 ,    5.85 ,
 
  343  53789.0 , 9046.0 , 8581.0 , 7790.0 , 2048.0 , 1846.0 , 1678.0 , 1335.0 ,
 
  344   1298.0 ,  416.0 ,  331.0 ,  297.0 ,  164.0 ,  157.0 ,   50.0 ,
 
  345     33.0 ,   28.0 ,    6.0 ,    5.93 ,
 
  348  55618.0 , 9394.0 , 8918.0 , 8071.0 , 2133.0 , 1926.0 , 1746.0 , 1395.0 ,
 
  349   1354.0 ,  434.0 ,  348.0 ,  310.0 ,  172.0 ,  164.0 ,   52.0 ,
 
  350     34.0 ,   29.0 ,    6.02 ,   6.0 ,
 
  353  57486.0 , 9751.0 , 9264.0 , 8358.0 , 2220.0 , 2008.0 , 1815.0 , 1456.0 ,
 
  354   1412.0 ,  452.0 ,  365.0 ,  323.0 ,  181.0 ,  172.0 ,   54.0 ,
 
  355     35.0 ,   30.0 ,    6.10 ,   6.0 , 
 
  358  59390.0 , 10116.0 , 9617.0 , 8648.0 , 2309.0 , 2092.0 , 1885.0 , 1518.0 ,
 
  359   1471.0 ,   471.0 ,  382.0 ,  336.0 ,  190.0 ,  181.0 ,   56.0 ,
 
  360     36.0 ,    30.0 ,    7.0 ,    6.18 ,
 
  363  61332.0 , 10486.0 , 9978.0 , 8944.0 , 2401.0 , 2178.0 , 1956.0 , 1580.0 ,
 
  364   1531.0 ,   490.0 ,  399.0 ,  349.0 ,  200.0 ,  190.0 ,  
 
  365     58.0 ,    37.0 ,   31.0 ,    8.0 ,    7.0 ,    6.25 ,
 
  368  63314.0 , 10870.0 , 10349.0 , 9244.0 , 2499.0 , 2270.0 , 2032.0 , 1647.0 ,
 
  369   1596.0 ,   514.0 ,   420.0 ,  366.0 ,  213.0 ,  202.0 ,
 
  370     62.0 ,    39.0 ,    32.0 ,   13.0 ,   12.0 ,    7.0 ,    6.6 ,
 
  373  65351.0 , 11271.0 , 10739.0 , 9561.0 , 2604.0 , 2369.0 , 2113.0 , 1720.0 ,
 
  374   1665.0 ,   542.0 ,   444.0 ,  386.0 ,  229.0 ,  217.0 ,
 
  375     68.0 ,    43.0 ,    35.0 ,   21.0 ,   20.0 ,    7.5 ,    7.0 ,
 
  378  67416.0 , 11682.0 , 11136.0 , 9881.0 , 2712.0 , 2472.0 , 2197.0 , 1796.0 ,
 
  379   1737.0 ,   570.0 ,   469.0 ,  407.0 ,  245.0 ,  232.0 ,
 
  380     74.0 ,    47.0 ,    38.0 ,   30.0 ,   28.0 ,    8.3 ,    7.9 ,
 
  383  69525.0 , 12100.0 , 11544.0 , 10207.0 , 2823.0 , 2577.0 , 2283.0 , 1874.0 ,
 
  384   1811.0 ,   599.0 ,   495.0 ,   428.0 ,  261.0 ,  248.0 ,
 
  385     80.0 ,    51.0 ,    41.0 ,    38.0 ,   36.0 ,    9.0 ,    8.0 ,
 
  388  71676.0 , 12527.0 , 11959.0 , 10535.0 , 2937.0 , 2686.0 , 2371.0 , 1953.0 ,
 
  389   1887.0 ,   629.0 ,   522.0 ,   450.0 ,  278.0 ,  264.0 ,
 
  390     86.0 ,    56.0 ,    47.0 ,   45.0 ,    45.0 ,     9.6 ,    7.9 ,
 
  393  73871.0 , 12968.0 , 12385.0 , 10871.0 , 3054.0 , 2797.0 , 2461.0 , 2035.0 ,
 
  394   1964.0 ,   660.0 ,   551.0 ,   473.0 ,  295.0 ,  280.0 ,
 
  395     92.0 ,    61.0 ,    56.0 ,    54.0 ,   49.0 ,    9.6 ,    8.5 ,
 
  398  76111.0 , 13419.0 , 12824.0 , 11215.0 , 3175.0 , 2912.0 , 2554.0 , 2119.0 ,
 
  399   2044.0 ,   693.0 ,   581.0 ,   497.0 ,  314.0 ,  298.0 ,
 
  400     99.0 ,    67.0 ,    66.0 ,    64.0 ,   53.0 ,    9.6 ,    9.1 ,
 
  403  78395.0 , 13880.0 , 13273.0 , 11564.0 , 3300.0 , 3030.0 , 2649.0 , 2206.0 ,
 
  404   2126.0 ,   727.0 ,   612.0 ,   522.0 ,  335.0 ,  318.0 ,
 
  405    106.0 ,    78.0 ,    75.0 ,    71.0 ,   57.0 ,     9.6 ,    9.0 ,
 
  408  80725.0 , 14353.0 , 13734.0 , 11919.0 , 3430.0 , 3153.0 , 2748.0 , 2295.0 ,
 
  409   2210.0 ,   764.0 ,   645.0 ,   548.0 ,  357.0 ,  339.0 ,
 
  410    114.0 ,    91.0 ,    87.0 ,    76.0 ,   61.0 ,    12.5 ,  11.1 ,    9.23 ,
 
  413  83102.0 , 14839.0 , 14209.0 , 12284.0 , 3567.0 , 3283.0 , 2852.0 , 2390.0 ,
 
  414   2300.0 ,   806.0 ,   683.0 ,   579.0 ,  382.0 ,  363.0 ,
 
  415    125.0 ,   107.0 ,   103.0 ,    85.0 ,   68.0 ,   14.0 ,   12.0 ,   10.4 ,
 
  418  85530.0 , 15347.0 , 14698.0 , 12658.0 , 3710.0 , 3420.0 , 2961.0 , 2490.0 ,
 
  419   2394.0 ,   852.0 ,   726.0 ,   615.0 ,  411.0 ,  391.0 ,
 
  420    139.0 ,   127.0 ,   123.0 ,    98.0 ,   79.0 ,   21.0 ,   19.0 ,    8.0 ,
 
  424  88005.0 , 15861.0 , 15200.0 , 13055.0 , 3857.0 , 3560.0 , 3072.0 , 2592.0 ,
 
  425   2490.0 ,   899.0 ,   769.0 ,   651.0 ,  441.0 ,  419.0 ,
 
  426    153.0 ,   148.0 ,   144.0 ,   111.0 ,   90.0 ,   27.0 ,   25.0 ,   10.0 ,
 
  430  90526.0 , 16388.0 , 15711.0 , 13419.0 , 4007.0 , 3704.0 , 3185.0 , 2696.0 ,
 
  431   2588.0 ,   946.0 ,   813.0 ,   687.0 ,  472.0 ,  448.0 ,  170.0 ,
 
  432    167.0 ,   165.0 ,   125.0 ,   101.0 ,   34.0 ,   32.0 ,   12.0 ,    7.29 ,
 
  435  93105.0 , 16939.0 , 16244.0 , 13814.0 , 4161.0 , 3852.0 , 3301.0 , 2802.0 ,
 
  436   2687.0 ,   994.0 ,   858.0 ,   724.0 ,  503.0 ,  478.0 ,  193.0 ,  187.0 ,
 
  437    181.0 ,   139.0 ,   112.0 ,    41.0 ,   38.0 ,   15.0 ,    8.43 ,
 
  440  95730.0 , 17493.0 , 16785.0 , 14214.0 , 4320.0 , 4005.0 , 3420.0 , 2910.0 ,
 
  441   2788.0 ,  1044.0 ,   904.0 ,   761.0 ,  535.0 ,  508.0 ,  217.0 ,  211.0 ,
 
  442    196.0 ,   153.0 ,   123.0 ,    48.0 ,   44.0 ,   19.0 ,   11.0 ,    9.3 ,
 
  445  98404.0 , 18049.0 , 17337.0 , 14619.0 , 4483.0 , 4162.0 , 3452.0 , 3109.0 ,
 
  446   2890.0 ,  1096.0 ,   951.0 ,   798.0 ,  567.0 ,  538.0 ,  242.0 ,  235.0 ,
 
  447    212.0 ,   167.0 ,   134.0 ,    55.0 ,   51.0 ,   24.0 ,   14.0 ,   10.7 ,
 
  450 101137.0 , 18639.0 , 17907.0 , 15031.0 , 4652.0 , 4324.0 , 3666.0 , 3134.0 ,
 
  451   2998.0 ,  1153.0 ,  1003.0 ,   839.0 ,  603.0 ,  572.0 ,  268.0 ,  260.0 ,
 
  452    231.0 ,   183.0 ,   147.0 ,    65.0 ,   61.0 ,   33.0 ,   19.0 ,   14.0 ,
 
  456 103922.0 , 19237.0 , 18484.0 , 15444.0 , 4822.0 , 4491.0 , 3793.0 , 3254.0 ,
 
  457   3111.0 ,  1214.0 ,  1060.0 ,   884.0 ,  642.0 ,  609.0 ,  296.0 ,  287.0 ,
 
  458    253.0 ,   201.0 ,   161.0 ,    77.0 ,   73.0 ,   40.0 ,   25.0 ,   19.0 ,
 
  462 106755.0 , 19840.0 , 19083.0 , 15871.0 , 5002.0 , 4656.0 , 3921.0 , 3374.0 ,
 
  463   3223.0 ,  1274.0 ,  1116.0 ,   928.0 ,  680.0 ,  645.0 ,  322.0 ,  313.0 ,
 
  464    274.0 ,   218.0 ,   174.0 ,    88.0 ,   83.0 ,   45.0 ,   29.0 ,   22.0 ,
 
  468 109651.0 , 20472.0 , 19693.0 , 16300.0 , 5182.0 , 4830.0 , 4049.0 , 3494.0 ,
 
  469   3335.0 ,  1333.0 ,  1171.0 ,   970.0 ,  717.0 ,  679.0 ,  347.0 ,  338.0 ,
 
  470    293.0 ,   233.0 ,   185.0 ,    97.0 ,   91.0 ,   50.0 ,   33.0 ,   25.0 ,
 
  474 112601.0 , 21105.0 , 20314.0 , 16733.0 , 5367.0 , 5001.0 , 4178.0 , 3613.0 ,
 
  475   3446.0 ,  1390.0 ,  1225.0 ,  1011.0 ,  752.0 ,  712.0 ,  372.0 ,  362.0 ,
 
  476    312.0 ,   248.0 ,   195.0 ,   104.0 ,   97.0 ,   50.0 ,   32.0 ,
 
  477     24.0 ,     6.0 ,     6.0 ,     6.0 ,
 
  480 115606.0 , 21757.0 , 20948.0 , 17166.0 , 5548.0 , 5182.0 , 4308.0 , 3733.0 ,
 
  481   3557.0 ,  1446.0 ,  1278.0 ,  1050.0 ,  785.0 ,  743.0 ,  396.0 ,  386.0 ,
 
  482    329.0 ,   261.0 ,   203.0 ,   110.0 ,  101.0 ,   52.0 ,   34.0 ,
 
  483     24.0 ,     6.1 ,     6.0 ,     6.0 ,
 
  486 118678.0 , 22426.0 , 21600.0 , 17610.0 , 5723.0 , 5366.0 , 4440.0 , 3854.0 ,
 
  487   3669.0 ,  1504.0 ,  1331.0 ,  1089.0 ,  819.0 ,  774.0 ,  421.0 ,  410.0 ,
 
  488    346.0 ,   274.0 ,   211.0 ,   116.0 ,  106.0 ,   54.0 ,   35.0 ,
 
  489     25.0 ,     6.0 ,     6.0 ,     6.0 ,
 
  492 121818.0 , 23097.0 , 22266.0 , 18056.0 , 5933.0 , 5541.0 , 4557.0 , 3977.0 ,
 
  493   3783.0 ,  1563.0 ,  1384.0 ,  1128.0 ,  853.0 ,  805.0 ,  446.0 ,  434.0 ,
 
  494    356.0 ,   287.0 ,   219.0 ,   122.0 ,  111.0 ,   53.0 ,   34.0 ,
 
  498 125027.0 , 23773.0 , 22944.0 , 18504.0 , 6121.0 , 5710.0 , 4667.0 , 4102.0 ,
 
  499   3898.0 ,  1623.0 ,  1439.0 ,  1167.0 ,  887.0 ,  836.0 ,  467.0 ,  452.0 ,
 
  500    355.0 ,   301.0 ,   220.0 ,   123.0 ,  112.0 ,   54.0 ,   44.0 ,
 
  504 128220.0 , 24460.0 , 23779.0 , 18930.0 , 6288.0 , 5895.0 , 4797.0 , 4236.0 ,
 
  505   4014.0 ,  1664.0 ,  1493.0 ,  1194.0 ,  919.0 ,  864.0 ,  494.0 ,  479.0 ,
 
  506    384.0 ,   314.0 ,   239.0 ,   126.0 ,  119.0 ,   60.0 ,   39.0 ,
 
  507     27.0 ,    11.0 ,     5.0 ,     6.0 ,
 
  510 131590.0 , 25275.0 , 24385.0 , 19452.0 , 6556.0 , 6147.0 , 4977.0 , 4366.0 ,
 
  511   4133.0 ,  1729.0 ,  1554.0 ,  1236.0 ,  955.0 ,  898.0 ,  520.0 ,  504.0 ,
 
  512    401.0 ,   329.0 ,   248.0 ,   142.0 ,  124.0 ,   63.0 ,   41.0 ,
 
  513     27.0 ,    12.0 ,     6.0 ,     4.0 ,
 
  516 135960.0 , 26110.0 , 25250.0 , 19930.0 , 6754.0 , 6359.0 , 5109.0 , 4492.0 ,
 
  517   4247.0 ,  1789.0 ,  1610.0 ,  1273.0 ,  987.0 ,  925.0 ,  546.0 ,  529.0 ,
 
  518    412.0 ,   338.0 ,   251.0 ,   142.0 ,  129.0 ,   61.0 ,   39.0 ,
 
  522 139490.0 , 26900.0 , 26020.0 , 20410.0 , 6977.0 , 6754.0 , 5252.0 , 4630.0 ,
 
  523   4369.0 ,  1857.0 ,  1674.0 ,  1316.0 , 1024.0 ,  959.0 ,  573.0 ,  554.0 ,
 
  524    429.0 ,   353.0 ,   260.0 ,   148.0 ,  135.0 ,   63.0 ,   40.0 ,
 
  528 143090.0 , 27700.0 , 26810.0 , 20900.0 , 7205.0 , 6793.0 , 5397.0 , 4766.0 ,
 
  529   4498.0 ,  1933.0 ,  1746.0 ,  1366.0 , 1068.0 , 1000.0 ,  606.0 ,  587.0 ,
 
  530    453.0 ,   375.0 ,   275.0 ,   160.0 ,  145.0 ,   69.0 ,   45.0 ,
 
  576  2, 2, 2, 4, 2, 2, 4, 1,
 
  578  2, 2, 2, 4, 2, 2, 4, 2,
 
  580  2, 2, 2, 4, 2, 2, 4, 1, 2,
 
  582  2, 2, 2, 4, 2, 2, 4, 2, 2,
 
  584  2, 2, 2, 4, 2, 2, 4, 3, 2,
 
  586  2, 2, 2, 4, 2, 2, 4, 4, 2,
 
  588  2, 2, 2, 4, 2, 2, 4, 5, 2,
 
  590  2, 2, 2, 4, 2, 2, 4, 6, 2,
 
  592  2, 2, 2, 4, 2, 2, 4, 7, 2,
 
  594  2, 2, 2, 4, 2, 2, 4, 4, 4, 2,
 
  596  2, 2, 2, 4, 2, 2, 4, 4, 5, 2,
 
  598  2, 2, 2, 4, 2, 2, 4, 4, 6, 2,
 
  600  2, 2, 2, 4, 2, 2, 4, 4, 6, 2, 1,
 
  602  2, 2, 2, 4, 2, 2, 4, 4, 6, 2, 2,
 
  604  2, 2, 2, 4, 2, 2, 4, 4, 6, 2, 3,
 
  606  2, 2, 2, 4, 2, 2, 4, 4, 6, 2, 4,
 
  608  2, 2, 2, 4, 2, 2, 4, 4, 6, 2, 5,
 
  610  2, 2, 2, 4, 2, 2, 4, 4, 6, 2, 2, 4,
 
  612  2, 2, 2, 4, 2, 2, 4, 4, 6, 2, 2, 4, 1,
 
  614  2, 2, 2, 4, 2, 2, 4, 4, 6, 2, 2, 4, 2,
 
  616  2, 2, 2, 4, 2, 2, 4, 4, 6, 2, 2, 4, 2, 1,
 
  618  2, 2, 2, 4, 2, 2, 4, 4, 6, 2, 2, 4, 2, 2,
 
  620  2, 2, 2, 4, 2, 2, 4, 4, 6, 2, 2, 4, 3, 2,
 
  622  2, 2, 2, 4, 2, 2, 4, 4, 6, 2, 2, 4, 4, 2,
 
  624  2, 2, 2, 4, 2, 2, 4, 4, 6, 2, 2, 4, 5, 2,
 
  626  2, 2, 2, 4, 2, 2, 4, 4, 6, 2, 2, 4, 6, 2,
 
  628  2, 2, 2, 4, 2, 2, 4, 4, 6, 2, 2, 4, 7, 2,
 
  630  2, 2, 2, 4, 2, 2, 4, 4, 6, 2, 2, 4, 4, 4, 2,
 
  632  2, 2, 2, 4, 2, 2, 4, 4, 6, 2, 2, 4, 4, 5, 2,
 
  634  2, 2, 2, 4, 2, 2, 4, 4, 6, 2, 2, 4, 4, 6, 2,
 
  636  2, 2, 2, 4, 2, 2, 4, 4, 6, 2, 2, 4, 4, 6, 2, 1,
 
  638  2, 2, 2, 4, 2, 2, 4, 4, 6, 2, 2, 4, 4, 6, 2, 2,
 
  640  2, 2, 2, 4, 2, 2, 4, 4, 6, 2, 2, 4, 4, 6, 2, 3,
 
  642  2, 2, 2, 4, 2, 2, 4, 4, 6, 2, 2, 4, 4, 6, 2, 4,
 
  644  2, 2, 2, 4, 2, 2, 4, 4, 6, 2, 2, 4, 4, 6, 2, 5,
 
  646  2, 2, 2, 4, 2, 2, 4, 4, 6, 2, 2, 4, 4, 6, 2, 2, 4,
 
  648  2, 2, 2, 4, 2, 2, 4, 4, 6, 2, 2, 4, 4, 6, 2, 2, 4, 1,
 
  650  2, 2, 2, 4, 2, 2, 4, 4, 6, 2, 2, 4, 4, 6, 2, 2, 4, 2,
 
  652  2, 2, 2, 4, 2, 2, 4, 4, 6, 2, 2, 4, 4, 6, 2, 2, 4, 1, 2,
 
  654  2, 2, 2, 4, 2, 2, 4, 4, 6, 2, 2, 4, 4, 6, 2, 2, 4, 2, 2,
 
  656  2, 2, 2, 4, 2, 2, 4, 4, 6, 2, 2, 4, 4, 6, 2, 2, 4, 3, 2,
 
  658  2, 2, 2, 4, 2, 2, 4, 4, 6, 2, 2, 4, 4, 6, 2, 2, 4, 4, 2,
 
  660  2, 2, 2, 4, 2, 2, 4, 4, 6, 2, 2, 4, 4, 6, 2, 2, 4, 5, 2,
 
  662  2, 2, 2, 4, 2, 2, 4, 4, 6, 2, 2, 4, 4, 6, 2, 2, 4, 6, 2,
 
  664  2, 2, 2, 4, 2, 2, 4, 4, 6, 2, 2, 4, 4, 6, 2, 2, 4, 7, 2,
 
  666  2, 2, 2, 4, 2, 2, 4, 4, 6, 2, 2, 4, 4, 6, 2, 2, 4, 2, 7, 1,
 
  668  2, 2, 2, 4, 2, 2, 4, 4, 6, 2, 2, 4, 4, 6, 2, 2, 4, 9, 2,
 
  670  2, 2, 2, 4, 2, 2, 4, 4, 6, 2, 2, 4, 4, 6, 2, 2, 4, 10,2,
 
  672  2, 2, 2, 4, 2, 2, 4, 4, 6, 2, 2, 4, 4, 6, 2, 2, 4, 2,11,
 
  674  2, 2, 2, 4, 2, 2, 4, 4, 6, 2, 2, 4, 4, 6, 2, 2, 4, 2,12,
 
  676  2, 2, 2, 4, 2, 2, 4, 4, 6, 2, 2, 4, 4, 6, 2, 2, 4,13, 2,
 
  678  2, 2, 2, 4, 2, 2, 4, 4, 6, 2, 2, 4, 4, 6, 2, 2, 4, 6, 8, 2,
 
  680  2, 2, 2, 4, 2, 2, 4, 4, 6, 2, 2, 4, 4, 6, 2, 2, 4, 6, 8, 2, 1,
 
  682  2, 2, 2, 4, 2, 2, 4, 4, 6, 2, 2, 4, 4, 6, 2, 2, 4, 6, 8, 2, 2,
 
  684  2, 2, 2, 4, 2, 2, 4, 4, 6, 2, 2, 4, 4, 6, 2, 2, 4, 6, 8, 3, 2,
 
  686  2, 2, 2, 4, 2, 2, 4, 4, 6, 2, 2, 4, 4, 6, 2, 2, 4, 6, 8, 4, 2,
 
  688  2, 2, 2, 4, 2, 2, 4, 4, 6, 2, 2, 4, 4, 6, 2, 2, 6, 8, 4, 5, 2,
 
  690  2, 2, 2, 4, 2, 2, 4, 4, 6, 2, 2, 4, 4, 6, 2, 2, 6, 8, 4, 6, 2,
 
  692  2, 2, 2, 4, 2, 2, 4, 4, 6, 2, 2, 4, 4, 6, 2, 6, 2, 8, 4, 7, 2,
 
  694  2, 2, 2, 4, 2, 2, 4, 4, 6, 2, 2, 4, 4, 6, 2, 6, 8, 2, 4, 9, 1,
 
  696  2, 2, 2, 4, 2, 2, 4, 4, 6, 2, 2, 4, 4, 6, 2, 6, 8, 2, 4, 4, 6, 1,
 
  698  2, 2, 2, 4, 2, 2, 4, 4, 6, 2, 2, 4, 4, 6, 2, 6, 8, 2, 4, 4, 6, 2,
 
  700  2, 2, 2, 4, 2, 2, 4, 4, 6, 2, 2, 4, 4, 6, 2, 6, 8, 2, 4, 4, 6, 2, 1,
 
  702  2, 2, 2, 4, 2, 2, 4, 4, 6, 2, 2, 4, 4, 6, 2, 6, 8, 2, 4, 4, 6, 2, 2,
 
  704  2, 2, 2, 4, 2, 2, 4, 4, 6, 2, 2, 4, 4, 6, 6, 2, 8, 2, 4, 4, 6, 2, 3,
 
  706  2, 2, 2, 4, 2, 2, 4, 4, 6, 2, 2, 4, 4, 6, 6, 8, 2, 2, 4, 4, 6, 2, 4,
 
  708  2, 2, 2, 4, 2, 2, 4, 4, 6, 2, 2, 4, 4, 6, 6, 8, 2, 2, 4, 4, 6, 2, 2, 3,
 
  710  2, 2, 2, 4, 2, 2, 4, 4, 6, 2, 2, 4, 4, 6, 6, 8, 2, 2, 4, 4, 6, 2, 2, 4,
 
  712  2, 2, 2, 4, 2, 2, 4, 4, 6, 2, 2, 4, 4, 6, 6, 8, 2, 2, 4, 4, 6, 2, 2, 4, 1,
 
  714  2, 2, 2, 4, 2, 2, 4, 4, 6, 2, 2, 4, 4, 6, 6, 8, 2, 2, 4, 4, 6, 2, 2, 4, 2,
 
  716  2, 2, 2, 4, 2, 2, 4, 4, 6, 2, 2, 4, 4, 6, 6, 8, 2, 2, 4, 4, 6, 2, 2, 4, 2, 1,
 
  718  2, 2, 2, 4, 2, 2, 4, 4, 6, 2, 2, 4, 4, 6, 6, 8, 2, 2, 4, 4, 6, 2, 2, 4, 2, 2,
 
  720  2, 2, 2, 4, 2, 2, 4, 4, 6, 2, 2, 4, 4, 6, 6, 8, 2, 2, 4, 4, 6, 2, 2, 4, 2, 1, 2,
 
  722  2, 2, 2, 4, 2, 2, 4, 4, 6, 2, 2, 4, 4, 6, 6, 8, 2, 2, 4, 4, 6, 2, 2, 4, 1, 3, 2,
 
  724  2, 2, 2, 4, 2, 2, 4, 4, 6, 2, 2, 4, 4, 6, 6, 8, 2, 2, 4, 4, 6, 2, 2, 4, 4, 1, 2,
 
  726  2, 2, 2, 4, 2, 2, 4, 4, 6, 2, 2, 4, 4, 6, 6, 8, 2, 2, 4, 4, 6, 2, 2, 4, 6, 2,
 
  728  2, 2, 2, 4, 2, 2, 4, 4, 6, 2, 2, 4, 4, 6, 6, 8, 2, 2, 4, 4, 6, 2, 2, 4, 7, 2,
 
  730  2, 2, 2, 4, 2, 2, 4, 4, 6, 2, 2, 4, 4, 6, 6, 8, 2, 2, 4, 4, 6, 2, 2, 4, 7, 2, 1,
 
  732  2, 2, 2, 4, 2, 2, 4, 4, 6, 2, 2, 4, 4, 6, 6, 8, 2, 2, 4, 4, 6, 2, 2, 4, 8, 2, 1,
 
  734  2, 2, 2, 4, 2, 2, 4, 4, 6, 2, 2, 4, 4, 6, 6, 8, 2, 2, 4, 4, 6, 2, 2, 4,10, 2,
 
  736  2, 2, 2, 4, 2, 2, 4, 4, 6, 2, 2, 4, 4, 6, 6, 8, 2, 2, 4, 4, 6, 2, 2, 4,11, 2,
 
  738  2, 2, 2, 4, 2, 2, 4, 4, 6, 2, 2, 4, 4, 6, 6, 8, 2, 2, 4, 4, 6, 2, 2, 4,12, 2
 
  747  if(Z<0 || Z>100) { 
Z = PrintErrorZ(
Z, 
"GetNumberOfShells"); }
 
  758  if(Z<0 || Z>100) { 
Z = PrintErrorZ(
Z, 
"GetBindingEnergy"); }
 
  760    ShellNb = PrintErrorShell(
Z, ShellNb, 
"GetBindingEnergy");
 
  772  if(Z<0 || Z>100) { 
Z = PrintErrorZ(
Z, 
"GetNumberOfElectrons"); }
 
  774    ShellNb = PrintErrorShell(
Z, ShellNb, 
"GetNumberOfElectrons");
 
  786  if(Z<0 || Z>100) { 
Z = PrintErrorZ(
Z, 
"GetNumberOfFreeElectrons"); }
 
  791  for (
G4int i=idx; i<idxmax; ++i) {
 
  802  if(Z<0 || Z>100) { 
Z = PrintErrorZ(
Z, 
"GetTotalBindingEnergy"); }
 
  819  ed << 
"Atomic number out of range Z= " << 
Z;
 
  831  ed << 
"Shell number out of range Nshell= " << 
n << 
"  Z= " << 
Z;
 
static const char sss[MAX_N_PAR+2]
void G4Exception(const char *originOfException, const char *exceptionCode, G4ExceptionSeverity severity, const char *description)
std::ostringstream G4ExceptionDescription
static const G4double fBindingEnergies[1540]
static G4double GetTotalBindingEnergy(G4int Z)
static const G4int fIndexOfShells[101]
static const G4int fNumberOfElectrons[1540]
static G4int GetNumberOfElectrons(G4int Z, G4int SubshellNb)
static G4double GetBindingEnergy(G4int Z, G4int SubshellNb)
static const G4int fNumberOfShells[101]
static G4int GetNumberOfShells(G4int Z)
static G4int GetNumberOfFreeElectrons(G4int Z, G4double th)
static constexpr double eV
G4double energy(const ThreeVector &p, const G4double m)