LEAST-SQUARES LINEAR REGRESSION OF LEVEL AND GAMMA ENERGIES
 
        LEVEL ENERGIES
    1.     0.0
    2.    30.6383 7                     
    3.   972.36 3                       
    4.  1013.627 7                      
    5.  1372.931 18                     
    6.  1620.32 4                       
    7.  1622.924 18                     
    8.  2138.920 9                      
    9.  2201.47 3                       
   10.  2271.768 16                     
   11.  2486.175 19                     
   12.  2565.69 6                       
   13.  2582.05 19                      
   14.  2656.14 3                       
   15.  2987.57 7                       
   16.  3296.385 13                     
   17.  3347.190 12                     
   18.  3465.292 7                      
   19.  3591.448 6                      
   20.  3670.77 4                       
   21.  3709.212 10                     
   22.  3875.780 8                      
   23.  3900.994 23                     
   24.  3935.583 11                     
   25.  4244.41 8                       
   26.  4461.91 8                       
   27.  4596.50 3                       
   28.  4691.099 5                      
   29.  4764.925 10                     
   30.  4903.575 6                      
   31.  5015.415 17                     
   32.  5134.839 7                      
   33.  5176.96 5                       
   34.  5377.81 4                       
   35.  5442.276 6                      
   36.  5741.115 13                     
   37.  5797.538 17                     
   38.  5860.78 3                       
   39.  6019.610 24                     
   40.  6198.879 11                     
   41.  6316.795 8                      
   42.  6419.85 7                       
   43.  6441.447 11                     
   44.  6623.07 4                       
   45.  6651.17 4                       
   46.  6756.67 5                       
   47.  6893.701 20                     
   48.  7176.47 4                       
   49.  7269.49 5                       
   50.  7725.178 4                      
 
   GAMMA ENERGIES
       27AL(N,G) E=THERMA-  ENERGY     DE    L1  L2
 -----------------------------------------------------------------------------------------------------------------------------------
           30.6382 7           30.6383 7     2  1                                                                                   
    (S        0.0              310.28 19    13 10                                                                                   
            400.58 3          400.565 25     5  3                                                                                   
           455.68 18            455.69 5    50 49                                                                                   
           548.70 13            548.70 4    50 48                                                                                   
            647.9 12            647.95 5     6  3                                                                                   
            831.45 4          831.463 20    50 47                                                                                   
    (S        0.0               863.24 3    11  7                                                                                   
           865.88 15            865.84 4    11  6                                                                                   
    (1      941.79 6            941.71 3     3  2                                                                                   
             945.1 5            945.35 7    12  6                                                                                   
    (1     968.71 15            968.49 5    50 46                                                                                   
    (2    983.018 16           982.970 7     4  2                                                                                   
    (3   1013.676 21          1013.607 7     4  1                                                                                   
    (1    1073.87 11           1073.99 4    50 45                                                                                   
            1101.8 4           1102.08 4    50 44                                                                                   
    (1    1125.54 21         1125.269 12     8  4                                                                                   
            1173.4 3         1173.450 11    29 19                                                                                   
    (1    1193.64 10         1193.496 17    18 10                                                                                   
    (5     1283.54 7           1283.18 3    14  5                                                                                   
    (2     1283.54 7         1283.699 11    50 43                                                                                   
    (1      1304.8 3           1305.29 7    50 42                                                                                   
          1342.30 11         1342.258 18     5  2                                                                                   
    (1    1364.99 20           1364.61 7    15  7                                                                                   
            1373.3 5         1372.895 18     5  1                                                                                   
           1408.30 6          1408.345 9    50 41                                                                                   
    (S        0.0            1437.405 19    21 10                                                                                   
    (S        0.0              1513.77 3    11  3                                                                                   
          1526.17 11         1526.254 12    50 40                                                                                   
    (S        0.0            1570.245 14    21  8                                                                                   
    (1     1589.72 8           1589.63 4     6  2                                                                                   
          1592.29 12         1592.237 18     7  2                                                                                   
    (S        0.0              1620.27 4     6  1                                                                                   
           1622.87 6         1622.873 18     7  1                                                                                   
    (1    1642.35 10           1642.46 3    14  4                                                                                   
          1673.43 11         1673.407 22    16  7                                                                                   
    (1     1705.38 8         1705.512 25    50 39                                                                                   
    (3      1720.0 3         1718.973 21    31 16                                                                                   
    (1      1720.0 3           1719.44 4    44 30                                                                                   
            1720.0 3           1720.24 3    41 27                                                                                   
    (1    1864.59 22           1864.33 3    50 38                                                                                   
    (1    1927.87 16         1927.569 17    50 37                                                                                   
          1963.68 20          1963.68 20     0  0                                                                                   
          1968.35 12         1968.450 19    19  7                                                                                   
    (2      1975.2 5           1973.87 7    15  4                                                                                   
    (2      1975.2 5         1974.184 22    17  5                                                                                   
            1975.2 5           1975.66 8    26 11                                                                                   
    (3      1975.2 5          1976.909 9    35 18                                                                                   
          1983.99 20         1983.987 13    50 36                                                                                   
          2047.70 23           2047.77 4    20  7                                                                                   
    (1     2108.24 4          2108.196 9     8  2                                                                                   
    (1     2128.81 7         2128.690 21    47 29                                                                                   
         2138.828 18          2138.832 9     8  1                                                                                   
    (1     2170.70 3           2170.74 3     9  2                                                                                   
          2247.21 23           2247.34 3    30 14                                                                                   
    (1     2255.42 5           2255.37 4    22  6                                                                                   
         2271.650 23         2271.669 16    10  1                                                                                   
           2276.7 11         2275.724 15    36 18                                                                                   
    (1     2276.7 11           2277.97 3    23  7                                                                                   
    (1     2276.7 11         2278.650 21    29 11                                                                                   
            2279.1 7            2279.1 7     0  0                                                                                   
    (2   2282.773 14          2282.802 7    50 35                                                                                   
          2299.94 10          2299.94 10     0  0                                                                                   
    (2      2313.3 3         2312.557 21    24  7                                                                                   
    (1    2347.38 10           2347.26 4    50 34                                                                                   
           2380.34 5           2380.34 5     0  0                                                                                   
            2384.3 3            2384.3 3     0  0                                                                                   
    (1     2419.36 8         2419.219 16    28 10                                                                                   
    (1     2451.48 4          2451.550 9    18  4                                                                                   
    (1      2455.8 3         2455.421 19    11  2                                                                                   
           2486.09 7         2486.057 19    11  1                                                                                   
    (1     2502.85 7         2502.729 19    22  5                                                                                   
    (2    2534.62 12           2534.93 6    12  2                                                                                   
           2548.08 8           2548.09 5    50 33                                                                                   
          2552.07 12         2552.054 10    28  8                                                                                   
          2563.51 23           2563.33 3    29  9                                                                                   
            2567.8 3            2567.8 3     0  0                                                                                   
    (1   2577.725 21          2577.694 9    19  4                                                                                   
            2582.2 5          2581.92 19    13  1                                                                                   
    (2   2590.244 14          2590.210 7    50 32                                                                                   
    (1   2625.903 16         2625.873 11    29  8                                                                                   
           2656.34 7           2656.34 7     0  0                                                                                   
    (1      2691.0 3           2690.65 5    33 11                                                                                   
    (2   2709.665 20         2709.622 17    50 31                                                                                   
            2717.4 4            2717.4 4     0  0                                                                                   
    (1      2724.6 5         2725.204 10    41 19                                                                                   
           2728.27 5           2728.27 5     0  0                                                                                   
           2733.64 3           2733.64 3     0  0                                                                                   
    (1    2743.74 19         2743.502 23    31 10                                                                                   
         2821.461 16          2821.450 6    50 30                                                                                   
    (1    2862.24 22         2861.996 10    22  4                                                                                   
    (1     2876.29 8           2876.43 6    35 12                                                                                   
    (1      2881.2 3           2880.73 5    46 22                                                                                   
           2887.22 4         2887.207 23    23  4                                                                                   
          2893.87 17          2893.87 17     0  0                                                                                   
            2902.7 7           2903.26 3    22  3                                                                                   
    (1     2921.84 3         2921.792 13    24  4                                                                                   
    (2    2954.88 19           2954.39 7    42 18                                                                                   
    (1      2974.0 3           2973.41 3    27  7                                                                                   
    (1    2987.69 17           2987.40 7    15  1                                                                                   
    (1      3016.7 7         3017.747 21    47 22                                                                                   
            3020.3 7         3020.235 15    41 16                                                                                   
    (1      3023.8 8           3024.90 *    49 25                                                                                   
         3033.893 13          3033.902 6    50 28                                                                                   
            3053.6 4            3053.6 4     0  0                                                                                   
    (1    3068.16 10         3067.995 18    28  7                                                                                   
           3075.65 9           3075.65 9     0  0                                                                                   
           3128.51 4           3128.49 3    50 27                                                                                   
           3142.22 6           3142.22 6     0  0                                                                                   
          3191.20 12          3191.20 12     0  0                                                                                   
           3208.27 7           3208.27 7     0  0                                                                                   
          3222.83 12           3222.73 4    47 20                                                                                   
          3230.68 20           3230.58 8    25  4                                                                                   
            3254.9 3         3254.737 23    36 11                                                                                   
          3263.18 16           3263.06 8    50 26                                                                                   
    (1     3265.49 4         3265.542 13    16  2                                                                                   
         3303.150 13          3303.147 9    35  8                                                                                   
            3316.5 3         3316.340 12    17  2                                                                                   
         3346.978 18         3346.975 12    17  1                                                                                   
          3375.08 24          3375.08 24     0  0                                                                                   
    (2    3392.00 10         3391.773 20    29  5                                                                                   
            3409.2 3           3409.26 5    46 17                                                                                   
          3448.03 23           3448.06 8    26  4                                                                                   
         3465.067 10          3465.062 7    18  1                                                                                   
            3472.3 3            3472.3 3     0  0                                                                                   
    (1    3480.77 16           3480.54 8    50 25                                                                                   
    (1   3560.547 19          3560.567 6    19  2                                                                                   
            3569.9 3            3569.9 3     0  0                                                                                   
         3591.211 11          3591.201 6    19  1                                                                                   
    (1    3598.66 12           3598.47 6    49 20                                                                                   
    (2     3623.74 7           3623.89 4    27  3                                                                                   
            3634.8 6           3635.25 8    44 15                                                                                   
           3639.88 9           3639.88 4    20  2                                                                                   
           3659.08 9           3659.06 4    38  9                                                                                   
           3671.22 8           3671.22 8     0  0                                                                                   
    (3     3678.15 5         3678.315 11    21  2                                                                                   
           3702.22 7           3702.22 7     0  0                                                                                   
    (1   3708.976 16         3708.949 10    21  1                                                                                   
          3721.52 22           3721.60 3    38  8                                                                                   
            3725.1 3            3725.1 3     0  0                                                                                   
          3750.83 18           3750.84 6    41 12                                                                                   
    (1    3750.83 18         3751.028 12    29  4                                                                                   
          3754.70 15           3754.62 4    34  7                                                                                   
            3768.6 4           3768.83 8    46 15                                                                                   
         3789.331 14         3789.319 11    50 24                                                                                   
            3803.7 5           3803.76 5    33  5                                                                                   
    (1      3820.9 4           3821.68 4    35  6                                                                                   
           3823.90 3         3823.903 23    50 23                                                                                   
         3849.108 10          3849.113 8    50 22                                                                                   
    (1    3859.47 24          3859.11 19    43 13                                                                                   
            3865.7 4            3865.7 4     0  0                                                                                   
    (1   3875.480 11          3875.492 8    22  1                                                                                   
            3881.8 4            3881.8 4     0  0                                                                                   
    (1     3889.73 6          3889.658 9    30  4                                                                                   
           3900.65 7         3900.702 23    23  1                                                                                   
    (1     3904.76 8         3904.652 11    24  2                                                                                   
          3926.86 24         3926.815 19    40 10                                                                                   
         3935.276 23         3935.286 11    24  1                                                                                   
            3949.8 4            3949.8 4     0  0                                                                                   
    (4     4001.70 5         4001.481 18    31  4                                                                                   
         4015.664 14         4015.656 10    50 21                                                                                   
           4023.21 5           4023.21 5     0  0                                                                                   
    (1    4045.00 23         4044.713 18    41 10                                                                                   
    (1     4054.04 5           4054.09 4    50 20                                                                                   
          4059.78 19         4059.643 14    40  8                                                                                   
           4068.99 4         4069.027 19    35  5                                                                                   
            4085.1 5           4085.16 7    45 12                                                                                   
    (2      4101.7 5           4100.21 5    46 14                                                                                   
    (1      4119.9 4           4120.47 4    36  6                                                                                   
    (2      4119.9 4          4120.886 *    32  4                                                                                   
          4125.09 22          4125.09 22     0  0                                                                                   
          4133.408 8          4133.402 6    50 19                                                                                   
            4162.4 5           4162.14 3    32  3                                                                                   
    (1      4162.4 5           4163.00 5    33  4                                                                                   
           4169.38 6         4169.346 19    43 10                                                                                   
          4175.96 23          4175.96 23     0  0                                                                                   
          4185.23 10          4185.23 10     0  0                                                                                   
          4213.49 11           4213.43 8    25  2                                                                                   
          4218.04 22           4218.04 7    42  9                                                                                   
    (2    4237.43 10           4237.22 3    47 14                                                                                   
          4237.43 10           4237.51 3    38  7                                                                                   
          4259.539 8          4259.538 6    50 18                                                                                   
            4270.1 3           4270.15 5    46 11                                                                                   
    (2    4280.37 10           4280.58 7    42  8                                                                                   
          4330.75 12          4330.75 12     0  0                                                                                   
         4377.625 16         4377.621 12    50 17                                                                                   
            4384.1 4            4384.1 4     0  0                                                                                   
    (1     4396.40 6           4396.32 3    39  7                                                                                   
           4424.24 3         4424.231 21    37  5                                                                                   
         4428.410 13         4428.417 12    50 16                                                                                   
          4447.27 19          4447.27 19     0  0                                                                                   
          4461.60 10           4461.53 8    26  1                                                                                   
           4484.53 6           4484.52 4    46 10                                                                                   
           4511.86 5           4511.86 4    45  8                                                                                   
    (1    4565.67 15           4565.47 3    27  2                                                                                   
         4575.557 21         4575.554 17    40  7                                                                                   
          4582.21 11          4582.21 11     0  0                                                                                   
    (1     4596.14 4           4596.10 3    27  1                                                                                   
            4613.2 4           4612.94 6    49 14                                                                                   
          4617.77 12          4617.77 12     0  0                                                                                   
    (1     4621.47 5         4621.524 24    47 10                                                                                   
          4660.039 8          4660.045 5    28  2                                                                                   
          4690.677 7          4690.677 5    28  1                                                                                   
         4733.847 12          4733.857 *    29  2                                                                                   
    (2     4737.40 9           4737.18 7    50 15                                                                                   
    (2     4754.24 4         4754.348 21    47  8                                                                                   
    (1     4764.45 3          4764.490 *    29  1                                                                                   
          4769.61 15          4769.61 15     0  0                                                                                   
            4783.0 5         4783.472 18    37  4                                                                                   
          4812.54 17          4812.54 17     0  0                                                                                   
           4868.80 9           4868.80 9     0  0                                                                                   
          4903.115 6          4903.114 6    30  1                                                                                   
            4965.8 4            4965.8 4     0  0                                                                                   
           4984.30 4         4984.300 17    31  2                                                                                   
           4996.64 7           4996.64 7     0  0                                                                                   
           5005.45 9         5005.503 25    39  4                                                                                   
    (1     5016.5 12         5014.933 17    31  1                                                                                   
           5031.5 17           5031.5 17     0  0                                                                                   
    (1     5068.58 3           5068.55 3    50 14                                                                                   
    (1   5103.718 15          5103.701 7    32  2                                                                                   
    (2    5130.40 15           5130.06 5    49  8                                                                                   
          5134.342 9          5134.334 7    32  1                                                                                   
    (2      5141.8 4          5142.62 19    50 13                                                                                   
           5176.44 6           5176.45 5    33  1                                                                                   
    (1    5184.99 13         5184.737 13    40  4                                                                                   
          5203.54 21          5203.54 21     0  0                                                                                   
          5209.30 24          5209.30 24     0  0                                                                                   
            5213.4 5            5213.4 5     0  0                                                                                   
            5228.4 4            5228.4 4     0  0                                                                                   
         5238.481 20         5238.477 19    50 11                                                                                   
           5269.91 6           5269.91 6     0  0                                                                                   
          5277.56 16           5277.70 5    45  5                                                                                   
    (1   5302.650 14          5302.629 9    41  4                                                                                   
          5315.14 12          5315.14 12     0  0                                                                                   
    (2    5344.24 17           5343.88 3    41  3                                                                                   
           5377.27 4           5377.26 4    34  1                                                                                   
          5411.069 8          5411.076 6    35  2                                                                                   
           5427.19 7         5427.256 13    43  4                                                                                   
            5441.9 3          5441.708 6    35  1                                                                                   
          5446.88 15           5446.92 7    42  3                                                                                   
    (2     5452.77 3         5452.839 16    50 10                                                                                   
          5459.39 18          5459.39 18     0  0                                                                                   
    (2     5522.96 6           5523.13 3    50  9                                                                                   
            5564.6 5            5564.6 5     0  0                                                                                   
    (2     5585.54 5          5585.660 *    50  8                                                                                   
            5594.7 4            5594.7 4     0  0                                                                                   
         5709.852 13         5709.852 13    36  2                                                                                   
          5719.14 16          5719.14 16     0  0                                                                                   
            5729.6 4            5729.6 4     0  0                                                                                   
            5748.2 4            5748.2 4     0  0                                                                                   
          5760.57 24          5760.57 24     0  0                                                                                   
         5766.250 22         5766.262 17    37  2                                                                                   
    (1     5796.94 4         5796.894 17    37  1                                                                                   
    (1    5802.76 10           5802.90 4    48  5                                                                                   
    (1    5829.89 24           5829.49 3    38  2                                                                                   
           5860.13 3           5860.12 3    38  1                                                                                   
    (1    5879.03 24         5879.412 21    47  4                                                                                   
            5882.6 6            5882.6 6     0  0                                                                                   
           5923.42 7           5923.42 7     0  0                                                                                   
          5969.54 15          5969.54 15     0  0                                                                                   
          5988.32 15         5988.284 24    39  2                                                                                   
    (1     6018.88 3         6018.915 24    39  1                                                                                   
    (2     6101.40 5         6101.540 18    50  7                                                                                   
            6109.6 7            6109.6 7     0  0                                                                                   
            6121.3 5            6121.3 5     0  0                                                                                   
    (1      6161.8 3           6162.12 4    48  4                                                                                   
         6198.138 12         6198.143 11    40  1                                                                                   
            6210.8 3            6210.8 3     0  0                                                                                   
          6255.05 23           6255.11 5    49  4                                                                                   
            6289.6 8            6289.6 8     0  0                                                                                   
    (1   6316.017 10          6316.030 8    41  1                                                                                   
            6329.5 8            6329.5 8     0  0                                                                                   
    (2     6351.36 4         6351.473 18    50  5                                                                                   
            6390.2 5            6390.2 5     0  0                                                                                   
    (1      6420.0 5           6419.06 7    42  1                                                                                   
         6440.648 11         6440.652 11    43  1                                                                                   
            6449.5 5            6449.5 5     0  0                                                                                   
          6459.69 22          6459.69 22     0  0                                                                                   
           6591.61 4           6591.60 4    44  2                                                                                   
          6619.59 14           6619.69 4    45  2                                                                                   
    (2    6621.79 18           6622.23 4    44  1                                                                                   
            6628.4 5            6628.4 5     0  0                                                                                   
         6710.702 15          6710.687 8    50  4                                                                                   
           6725.15 8           6725.17 5    46  2                                                                                   
    (3    6752.32 12           6751.94 3    50  3                                                                                   
            6800.7 3            6800.7 3     0  0                                                                                   
          6823.03 11          6823.03 11     0  0                                                                                   
    (1     6862.22 4         6862.160 20    47  2                                                                                   
          6894.27 17          6894.27 17     0  0                                                                                   
           6936.97 5           6936.97 5     0  0                                                                                   
          7135.24 12          7135.24 12     0  0                                                                                   
           7175.53 5           7175.49 4    48  1                                                                                   
    (2     7237.68 8           7237.84 5    49  2                                                                                   
          7268.44 14           7268.47 5    49  1                                                                                   
          7342.25 11          7342.25 11     0  0                                                                                   
            7377.0 3            7377.0 3     0  0                                                                                   
         7693.398 11          7693.405 4    50  2                                                                                   
          7724.034 7          7724.034 4    50  1                                                                                   
     DATA SET  1. ENERGIES CORRECTED BY    .0000000+-  .0000000 KEV     CHISQ/F =  2.624         F=171
     CHISQ/F =  2.639      (FIT OF  220GAMMAS -  49LEVELS)