LEAST-SQUARES LINEAR REGRESSION OF LEVEL AND GAMMA ENERGIES
 
        LEVEL ENERGIES
    1.     0.0
    2.    78.065 18                     
    3.   512.70 3                       
    4.  1149.390 22                     
    5.  1322.833 25                     
    6.  1755.02 4                       
    7.  2177.26 5                       
    8.  2217.73 6                       
    9.  2229.74 3                       
   10.  2313.46 8                       
   11.  2579.12 14                      
   12.  2657.64 4                       
   13.  2740.46 5                       
   14.  3073.91 13                      
   15.  3264.011 24                     
   16.  3444.39 4                       
   17.  3792.53 22                      
   18.  4009.01 4                       
   19.  4035.60 3                       
   20.  4549.22 12                      
   21.  4661.54 4                       
   22.  4710.45 15                      
   23.  4877.42 4                       
   24.  5072.53 7                       
   25.  5307.58 11                      
   26.  5326.00 14                      
   27.  5349.65 4                       
   28.  5509.36 3                       
   29.  5701.49 7                       
   30.  5778.74 3                       
   31.  6062.14 5                       
   32.  6196.36 5                       
   33.  6332.54 18                      
   34.  6510.62 19                      
   35.  6558.00 11                      
   36.  6581.90 6                       
   37.  6783.69 15                      
   38.  7935.768 22                     
 
   GAMMA ENERGIES
       31P(N,G) E=THERMAL-  ENERGY     DE    L1  L2
 -----------------------------------------------------------------------------------------------------------------------------------
    (1     78.099 25           78.065 18     2  1                                                                                   
    (S        0.0               432.18 4     6  5                                                                                   
    (S        0.0               512.70 3     3  1                                                                                   
            558.51 8            558.43 7    10  6                                                                                   
            636.67 3          636.680 22     4  3                                                                                   
             724.3 3             724.3 3     0  0                                                                                   
    (1      745.04 5            744.99 4    18 15                                                                                   
           754.52 10            754.55 *    31 25                                                                                   
           771.51 12            771.57 3    19 15                                                                                   
             837.0 5             837.0 5     0  0                                                                                   
    (1     895.10 13            894.88 7     8  5                                                                                   
           902.65 18            902.61 5    12  6                                                                                   
           907.07 25            906.89 3     9  5                                                                                   
    (1     1034.32 4           1034.25 3    15  9                                                                                   
    (S        0.0              1068.32 7     8  4                                                                                   
    (1     1071.27 3         1071.306 21     4  2                                                                                   
           1149.33 4         1149.368 22     4  1                                                                                   
          1152.12 18          1152.05 15    38 37                                                                                   
          1152.12 18          1152.25 12    29 20                                                                                   
           1198.98 9           1198.98 9     0  0                                                                                   
    (2      1208.9 3          1208.32 11    35 27                                                                                   
            1211.4 3            1211.4 3     0  0                                                                                   
           1214.56 9           1214.62 5    16  9                                                                                   
    (1      1217.7 4           1217.12 5    21 16                                                                                   
          1222.31 25          1222.31 25     0  0                                                                                   
          1229.44 19          1229.49 12    30 20                                                                                   
           1244.76 4         1244.742 25     5  2                                                                                   
    (1    1256.24 19          1255.87 14    36 26                                                                                   
          1256.24 19          1256.26 14    11  5                                                                                   
          1265.73 11          1265.73 11     0  0                                                                                   
          1269.79 16          1269.79 16     0  0                                                                                   
          1272.97 16          1272.97 16     0  0                                                                                   
    (1    1314.35 19           1314.03 4    27 19                                                                                   
          1318.94 21          1318.86 13    14  6                                                                                   
          1318.94 21           1318.91 5    32 23                                                                                   
    (1     1322.85 4         1322.803 25     5  1                                                                                   
          1340.64 20           1340.62 5    27 18                                                                                   
           1353.83 6           1353.84 5    38 36                                                                                   
          1377.83 12          1377.74 11    38 35                                                                                   
          1377.83 12           1377.92 5    19 12                                                                                   
         1401.760 20         1401.760 20     0  0                                                                                   
          1425.33 24          1425.11 18    38 34                                                                                   
            1429.9 4          1429.70 14    11  4                                                                                   
            1429.9 4          1429.85 14    18 11                                                                                   
            1432.7 3           1433.00 5    23 16                                                                                   
         1473.720 10          1473.724 *    28 19                                                                                   
    (1     1509.02 4           1508.96 3    15  6                                                                                   
    (1    1587.36 19          1587.59 13    21 14                                                                                   
           1613.7 12           1613.37 4    23 15                                                                                   
    (1     1613.7 12          1615.22 22    17  7                                                                                   
    (1     1676.99 5           1676.90 3     6  2                                                                                   
           1739.40 5           1739.36 4    38 32                                                                                   
    (S        0.0              1754.96 4     6  1                                                                                   
    (1    1800.42 25          1800.12 19    34 22                                                                                   
            1805.7 4           1805.80 4    19  9                                                                                   
            1808.5 3          1808.70 13    20 13                                                                                   
           1873.53 5           1873.57 4    38 31                                                                                   
    (2      1921.7 3           1921.01 6    21 13                                                                                   
           1941.16 5           1941.12 3    15  5                                                                                   
    (4    2099.67 12           2099.12 5     7  2                                                                                   
    (1     2114.48 4         2114.547 23    15  4                                                                                   
    (1    2136.62 24           2136.88 6    23 13                                                                                   
    (S        0.0              2139.59 7     8  2                                                                                   
           2151.62 4           2151.60 3     9  2                                                                                   
           2156.95 4           2156.95 3    38 30                                                                                   
    (S        0.0              2177.18 5     7  1                                                                                   
    (1     2217.52 9           2217.65 6     8  1                                                                                   
    (1     2227.80 9           2227.68 5    13  3                                                                                   
            2229.9 3           2229.66 3     9  1                                                                                   
    (1     2234.12 7           2234.19 7    38 29                                                                                   
          2266.71 21          2266.71 21     0  0                                                                                   
    (2      2276.3 3          2275.66 13    27 14                                                                                   
    (1    2348.16 17           2347.99 8    21 10                                                                                   
           2426.30 5         2426.313 25    38 28                                                                                   
    (1    2431.87 15           2431.70 4    21  9                                                                                   
          2445.50 22          2445.50 22     0  0                                                                                   
           2514.68 6           2514.62 3    30 15                                                                                   
            2579.2 4           2579.46 4    12  2                                                                                   
           2586.01 5           2586.00 4    38 27                                                                                   
          2609.23 21           2609.08 6    27 13                                                                                   
    (2    2609.23 21          2609.66 14    38 26                                                                                   
           2657.55 6           2657.52 4    12  1                                                                                   
            2686.0 5           2686.05 5    18  5                                                                                   
            2702.4 5            2702.4 5     0  0                                                                                   
          2712.76 25           2712.64 3    19  5                                                                                   
          2740.38 11           2740.34 5    13  1                                                                                   
            2842.8 3           2842.65 8    24  9                                                                                   
          2863.15 11           2863.10 7    38 24                                                                                   
           2886.09 6           2886.07 3    19  4                                                                                   
    (S        0.0              2931.54 5    16  3                                                                                   
          2933.65 17          2933.65 17     0  0                                                                                   
           2953.72 8           2953.72 8     0  0                                                                                   
           3058.17 5           3058.19 3    38 23                                                                                   
          3119.86 20           3119.75 4    27  9                                                                                   
           3185.76 6         3185.776 22    15  2                                                                                   
    (1      3196.9 7           3195.73 8    28 10                                                                                   
    (1    3224.92 19          3225.15 15    38 22                                                                                   
            3240.6 5            3240.6 5     0  0                                                                                   
    (2    3263.41 20         3263.833 24    15  1                                                                                   
          3267.53 14          3267.53 14     0  0                                                                                   
           3274.05 5           3274.05 3    38 21                                                                                   
    (1      3338.8 3           3338.52 4    21  5                                                                                   
          3366.21 10           3366.13 4    16  2                                                                                   
    (1      3387.4 6          3386.36 12    38 20                                                                                   
            3387.4 6          3387.42 15    22  5                                                                                   
          3444.27 10           3444.19 4    16  1                                                                                   
            3482.9 4          3482.82 14    31 11                                                                                   
    (1      3482.9 4           3483.56 9    29  8                                                                                   
            3504.0 5            3504.0 5     0  0                                                                                   
    (1      3511.6 3           3511.94 4    21  4                                                                                   
           3522.71 4           3522.69 3    19  3                                                                                   
          3548.74 10           3548.79 4    30  9                                                                                   
          3554.38 14           3554.38 4    23  5                                                                                   
            3560.5 5           3560.80 7    30  8                                                                                   
            3560.5 5          3560.84 15    22  4                                                                                   
            3713.9 4          3714.23 22    17  2                                                                                   
            3774.6 5            3774.6 5     0  0                                                                                   
           3899.95 5         3899.917 25    38 19                                                                                   
          3922.90 10           3922.88 7    24  4                                                                                   
          3926.48 10           3926.50 4    38 18                                                                                   
    (2    3930.19 19           3930.68 4    18  2                                                                                   
            3945.9 9           3946.21 7    29  6                                                                                   
    (2    3956.97 11           3957.27 3    19  2                                                                                   
            4003.3 8          4002.51 15    36 11                                                                                   
            4003.3 8          4002.90 14    26  5                                                                                   
           4008.66 9           4008.74 4    18  1                                                                                   
           4026.6 10           4026.55 4    27  5                                                                                   
           4035.6 11           4035.32 3    19  1                                                                                   
           4035.6 11          4036.24 12    20  3                                                                                   
            4043.2 8          4042.96 16    37 13                                                                                   
          4071.92 19          4071.92 19     0  0                                                                                   
            4125.7 3          4125.77 15    37 12                                                                                   
            4142.8 3          4142.95 22    38 17                                                                                   
           4199.92 6           4199.97 4    27  4                                                                                   
    (1     4246.4 18          4244.24 13    35 10                                                                                   
            4278.3 7            4278.3 7     0  0                                                                                   
    (2     4359.83 9           4359.65 3    28  4                                                                                   
           4364.45 6           4364.40 4    23  3                                                                                   
          4410.37 15          4410.37 15     0  0                                                                                   
    (2      4456.3 3           4455.57 4    30  5                                                                                   
            4466.2 9            4466.2 9     0  0                                                                                   
           4491.07 6           4491.04 4    38 16                                                                                   
            4551.6 7           4551.75 7    29  4                                                                                   
            4579.8 9            4579.8 9     0  0                                                                                   
            4629.1 3           4628.99 3    30  4                                                                                   
            4632.0 9          4632.02 15    22  2                                                                                   
            4644.1 5            4644.1 5     0  0                                                                                   
    (1     4661.11 6           4661.17 4    21  1                                                                                   
           4671.39 5         4671.391 23    38 15                                                                                   
            4738.8 4           4738.93 5    31  5                                                                                   
          4766.10 22          4766.10 22     0  0                                                                                   
    (1     4792.9 11          4794.49 11    25  3                                                                                   
    (1      4799.6 3           4798.97 4    23  2                                                                                   
    (1     4811.2 10          4812.91 14    26  3                                                                                   
    (1      4860.5 9          4861.47 13    38 14                                                                                   
    (2    4876.78 11           4877.02 4    23  1                                                                                   
          4912.30 11           4912.35 4    31  4                                                                                   
           5067.9 17           5067.9 17     0  0                                                                                   
           5071.4 13           5072.10 7    24  1                                                                                   
            5114.3 9            5114.3 9     0  0                                                                                   
            5122.3 5            5122.3 5     0  0                                                                                   
    (2      5180.9 8          5182.70 18    33  4                                                                                   
           5194.92 7           5194.85 5    38 13                                                                                   
    (1      5228.0 8          5229.06 11    25  2                                                                                   
    (1     5265.47 7           5265.57 3    30  3                                                                                   
           5277.73 7           5277.66 4    38 12                                                                                   
            5306.7 9          5307.11 11    25  1                                                                                   
    (1      5326.8 9          5325.52 14    26  1                                                                                   
           5340.5 16           5340.5 16     0  0                                                                                   
          5349.03 20           5349.17 4    27  1                                                                                   
    (1      5355.2 9          5356.17 14    38 11                                                                                   
           5359.8 10          5360.75 19    34  4                                                                                   
           5366.9 13           5366.9 13     0  0                                                                                   
            5379.2 5            5379.2 5     0  0                                                                                   
    (2    5431.35 24           5430.80 3    28  2                                                                                   
    (2    5431.35 24           5432.01 6    36  4                                                                                   
           5437.9 14           5437.9 14     0  0                                                                                   
            5452.4 5            5452.4 5     0  0                                                                                   
            5474.9 3            5474.9 3     0  0                                                                                   
    (1      5508.2 6           5508.85 3    28  1                                                                                   
    (1      5549.3 3           5548.92 5    31  3                                                                                   
    (1      5622.2 4           5621.78 8    38 10                                                                                   
    (1      5622.2 4           5622.90 7    29  2                                                                                   
    (1      5634.8 7          5633.77 15    37  4                                                                                   
          5683.20 12           5683.11 5    32  3                                                                                   
    (1    5700.31 14           5700.13 3    30  2                                                                                   
    (1     5705.40 7           5705.48 3    38  9                                                                                   
          5717.55 13           5717.49 7    38  8                                                                                   
            5745.5 7            5745.5 7     0  0                                                                                   
            5751.7 5            5751.7 5     0  0                                                                                   
    (1     5758.05 5           5757.95 5    38  7                                                                                   
           5778.13 8           5778.18 3    30  1                                                                                   
            5983.4 6           5983.48 5    31  2                                                                                   
            6050.5 7            6050.5 7     0  0                                                                                   
    (1    6061.40 12           6061.53 5    31  1                                                                                   
            6091.6 5            6091.6 5     0  0                                                                                   
            6117.6 3           6117.66 5    32  2                                                                                   
    (1      6179.4 7           6180.11 4    38  6                                                                                   
    (1    6195.87 13           6195.71 5    32  1                                                                                   
    (1     6252.8 10          6253.82 18    33  2                                                                                   
            6275.1 6            6275.1 6     0  0                                                                                   
            6281.4 4            6281.4 4     0  0                                                                                   
            6287.5 5            6287.5 5     0  0                                                                                   
            6294.3 3            6294.3 3     0  0                                                                                   
          6332.01 19          6331.87 18    33  1                                                                                   
           6397.5 24           6397.5 24     0  0                                                                                   
            6419.6 4            6419.6 4     0  0                                                                                   
           6478.2 19          6479.23 11    35  2                                                                                   
           6496.7 22           6496.7 22     0  0                                                                                   
            6503.2 3           6503.12 6    36  2                                                                                   
              6509 3          6509.91 19    34  1                                                                                   
            6517.4 7            6517.4 7     0  0                                                                                   
    (1      6556.2 9          6557.27 11    35  1                                                                                   
          6581.02 21           6581.17 6    36  1                                                                                   
            6612.0 4           6612.20 3    38  5                                                                                   
           6671.0 12           6671.0 12     0  0                                                                                   
           6676.9 14           6676.9 14     0  0                                                                                   
            6759.3 8            6759.3 8     0  0                                                                                   
    (1     6785.48 7         6785.606 21    38  4                                                                                   
            6823.9 7            6823.9 7     0  0                                                                                   
            6836.4 8            6836.4 8     0  0                                                                                   
            6860.7 4            6860.7 4     0  0                                                                                   
            7018.4 8            7018.4 8     0  0                                                                                   
            7058.1 5            7058.1 5     0  0                                                                                   
            7160.5 6            7160.5 6     0  0                                                                                   
          7179.25 24          7179.25 24     0  0                                                                                   
            7244.7 4            7244.7 4     0  0                                                                                   
           7302.1 18           7302.1 18     0  0                                                                                   
          7336.48 24          7336.48 24     0  0                                                                                   
    (1     7422.05 8         7422.141 25    38  3                                                                                   
            7769.7 6            7769.7 6     0  0                                                                                   
           7856.65 9         7856.668 22    38  2                                                                                   
          7934.68 11         7934.712 22    38  1                                                                                   
     DATA SET  1. ENERGIES CORRECTED BY    .0000000+-  .0000000 KEV     CHISQ/F =  1.715         F=131
     CHISQ/F =  1.755      (FIT OF  166GAMMAS -  37LEVELS)