Task: Arithmetic-Relationship (source dataset: Auto-Relate)

You are given a table with numerical values in multiple columns. Your task is to analyze the data and identify semantic relationships, expressed in arithmetic relationships, that exist between columns.

These relationships may involve any combination of the following operations: addition (+), subtraction (−), multiplication (*), and division (/). The expressions can involve two or more columns and may be nested (e.g., B = (A + C) / D).

Please only identify arithmetic relationships that hold semantically based on the data, and do not return relationships that are likely spurious, e.g., (A = B * 0), where A is an all 0 column. Please only return minimal atomic relationships, e.g., if A = B + C and D = E + F, then there is no need to return A = B + C + E + F - D.

No explanation, return all the formula(s) in JSON format: {"Arithmetic-Relationship": [<list-of-formulas>]}. If no relationship is found, return {"Arithmetic-Relationship": []}.

Input Table:
| A             |           B |           C |           D |   E |            F |   G |   H |           I |            J |     K |
|:--------------|------------:|------------:|------------:|----:|-------------:|----:|----:|------------:|-------------:|------:|
| ANDREWS       |    745.355  |   2732.68   |   1280.36   |   0 |   234.264    |   0 |   0 |   10.6606   |   1207.39    |   171 |
| ANGELINA      |   6484.26   |  33884.3    |  19080      |   0 |  1288.68     |   0 |   0 |  300.8      |  13214.8     |  2050 |
| ARANSAS       |   3305.68   |  12128.7    |   7939.07   |   0 |   358.391    |   0 |   0 |  383.362    |   3447.83    |   657 |
| ARCHER        |    918.915  |   3947.25   |   2776.21   |   0 |   330.893    |   0 |   0 |   83.8351   |    756.309   |   156 |
| ARMSTRONG     |    247.952  |   1185.53   |    365.931  |   0 |    33.3861   |   0 |   0 |   11.2429   |    774.968   |    83 |
| ATASCOSA      |   3248.5    |  23108      |  13263.3    |   0 |   991.662    |   0 |   0 |  192.047    |   8661       |   890 |
| AUSTIN        |   2231.17   |   6676.53   |   3392.86   |   0 |   358.879    |   0 |   0 |  213.157    |   2711.63    |   348 |
| BAILEY        |    402.614  |   1133.01   |    566.9    |   0 |    24.908    |   0 |   0 |   89.5748   |    451.624   |    85 |
| BANDERA       |   3024.64   |  20525      |  10286      |   0 |   589.231    |   0 |   0 |  133.192    |   9516.5     |   888 |
| BASTROP       |   7351.74   |  31658      |  16904.8    |   0 |  1616.6      |   0 |   0 |  486.337    |  12650.3     |  1663 |
| BAYLOR        |    350.629  |   1216.87   |    796.926  |   0 |     9.11888  |   0 |   0 |    8.25505  |    402.569   |    92 |
| BEE           |   2626.86   |   8866.79   |   5444.16   |   0 |   512.272    |   0 |   0 |  110.596    |   2799.76    |   434 |
| BLANCO        |   1061.3    |   4542.2    |   2319.66   |   0 |    85.2815   |   0 |   0 |   75.5862   |   2061.67    |   236 |
| BORDEN        |     58.3864 |    344.801  |    185.628  |   0 |    22.1262   |   0 |   0 |    0.618435 |    136.428   |    14 |
| BOSQUE        |   2173.13   |  10344.2    |   5713.93   |   0 |   251.081    |   0 |   0 |   97.5029   |   4281.73    |   531 |
| BOWIE         |   8944.64   |  43821.2    |  28451.1    |   0 |  1568.09     |   0 |   0 |  643.419    |  13158.6     |  2357 |
| BRAZORIA      |  23944.8    |  79223.8    |  41308.6    |   0 |  7477.24     |   0 |   0 | 1016.22     |  29421.7     |  3952 |
| BRAZOS        |   8533.63   |  38318.2    |  18443.9    |   0 |  8059.16     |   0 |   0 |  568.336    |  11246.7     |  2024 |
| BREWSTER      |    788.417  |   3185.95   |   1378.31   |   0 |   330.308    |   0 |   0 |   43.954    |   1433.38    |   193 |
| BRISCOE       |    142.369  |    944.771  |    314.687  |   0 |     7.83495  |   0 |   0 |   14.3061   |    607.944   |    48 |
| BROOKS        |    451.083  |   2353.71   |   1381.25   |   0 |    36.3209   |   0 |   0 |  147.954    |    788.187   |   109 |
| BROWN         |   3134.46   |  20550.8    |   9912.85   |   0 |   475.309    |   0 |   0 |  373.803    |   9788.86    |  1346 |
| BURLESON      |   1749.12   |   8771.31   |   4150.78   |   0 |   217.131    |   0 |   0 |  132.75     |   4270.65    |   484 |
| BURNET        |   5009.93   |  19462.9    |  10778.9    |   0 |   649.233    |   0 |   0 |  399.811    |   7634.87    |  1001 |
| CALDWELL      |   3305.65   |  14669.3    |   8597.43   |   0 |   811.84     |   0 |   0 |   81.6655   |   5178.39    |   690 |
| CALHOUN       |   1672.41   |   7325.35   |   4816.49   |   0 |   132.125    |   0 |   0 |   48.3821   |   2328.35    |   404 |
| CALLAHAN      |   1517.19   |   7984.23   |   5046.02   |   0 |   365.285    |   0 |   0 |   32.604    |   2540.32    |   454 |
| CAMERON       |  18231.7    |  99026.5    |  55240.1    |   0 |  7277.41     |   0 |   0 |  831.163    |  35677.8     |  5503 |
| CAMP          |   1165.77   |   4105.94   |   2285.54   |   0 |   123.775    |   0 |   0 |   54.9423   |   1641.68    |   275 |
| CARSON        |    648.816  |   2437.71   |    926.987  |   0 |    65.9991   |   0 |   0 |   41.4556   |   1403.27    |   173 |
| CASS          |   3133.98   |  16374.3    |   9660.12   |   0 |   500.131    |   0 |   0 |   57.7931   |   6156.25    |   961 |
| CASTRO        |    390.57   |   1457.18   |    578.25   |   0 |    49.7253   |   0 |   0 |   17.8897   |    811.32    |   117 |
| CHAMBERS      |   2232.58   |   6968.59   |   3318.43   |   0 |   632.215    |   0 |   0 |   55.5902   |   2962.36    |   466 |
| CHEROKEE      |   4100.87   |  17599.4    |  11417.6    |   0 |   491.061    |   0 |   0 |  197.277    |   5493.45    |   876 |
| CHILDRESS     |    485.815  |   2100.38   |   1084.31   |   0 |    56.7721   |   0 |   0 |   39.0931   |    920.212   |   185 |
| CLAY          |   1414.64   |   5430.53   |   4019.93   |   0 |   403.3      |   0 |   0 |  114.515    |    892.79    |   213 |
| COCHRAN       |    153.127  |   1359.73   |    664.016  |   0 |    91.2517   |   0 |   0 |    3.58123  |    600.877   |    66 |
| COKE          |    434.046  |   1277.76   |    644.026  |   0 |    52.8541   |   0 |   0 |    8.49655  |    572.383   |   103 |
| COLEMAN       |    829.042  |   4998.06   |   2474.98   |   0 |    67.0287   |   0 |   0 |   58.4727   |   2397.57    |   340 |
| COLLIN        |  46390.3    | 127373      |  68125.1    |   0 | 16773.9      |   0 |   0 | 3726.7      |  38747.2     |  6223 |
| COLLINGSWORTH |    274.609  |    859.968  |    527.508  |   0 |     3.04274  |   0 |   0 |    6.87833  |    322.539   |    65 |
| COLORADO      |   1456.51   |   5200.31   |   2953.6    |   0 |   117.44     |   0 |   0 |   53.9379   |   2075.33    |   347 |
| COMAL         |  11389.3    |  70129.5    |  45863.8    |   0 |  5378.96     |   0 |   0 | 1480.65     |  17406.1     |  2445 |
| COMANCHE      |   1012.87   |   8516.28   |   4348.53   |   0 |   101.744    |   0 |   0 |  112.528    |   3953.48    |   445 |
| CONCHO        |    292.537  |   1289.85   |    751.136  |   0 |    21.644    |   0 |   0 |    0.447702 |    516.623   |    86 |
| COOKE         |   3416.05   |  12431.3    |   6996.86   |   0 |   510.417    |   0 |   0 |  245.916    |   4678.07    |   792 |
| CORYELL       |  11150.7    |  87291.8    |  57916.7    |   0 |  8953.7      |   0 |   0 |  656.583    |  19764.9     |  3083 |
| COTTLE        |    126.798  |    645.697  |    378.045  |   0 |    11.9883   |   0 |   0 |    2.72332  |    252.941   |    58 |
| CRANE         |    253.677  |    961.025  |    353.9    |   0 |    53.691    |   0 |   0 |    0.756843 |    552.677   |    38 |
| CROCKETT      |    287.171  |    412.523  |    244.93   |   0 |    20.8072   |   0 |   0 |    3.69361  |    143.091   |    33 |
| CROSBY        |    435.309  |   1328.15   |    778.983  |   0 |    67.8374   |   0 |   0 |    8.03742  |    473.296   |   110 |
| CULBERSON     |    189.095  |    977.52   |    621.27   |   0 |    56.6766   |   0 |   0 |    0        |    299.574   |    62 |
| DALLAM        |    472.855  |   1932.81   |    709.515  |   0 |    20.2002   |   0 |   0 |    4.4326   |   1198.66    |   166 |
| DAWSON        |    722.835  |   3029.88   |   1479.69   |   0 |   105.875    |   0 |   0 |   31.2207   |   1413.09    |   237 |
| DEAF SMITH    |    730.227  |   4343.06   |   1506.94   |   0 |   110.237    |   0 |   0 |   50.1808   |   2675.7     |   310 |
| DELTA         |    648.418  |   2823.94   |   1359.38   |   0 |    79.5499   |   0 |   0 |    7.13342  |   1377.88    |   199 |
| DENTON        |  41295.5    | 115105      |  59721.8    |   0 | 19450.5      |   0 |   0 | 2296.01     |  33637.1     |  6193 |
| DE WITT       |   1891.53   |   7091.22   |   4310.34   |   0 |   115.527    |   0 |   0 |   37.4817   |   2627.87    |   385 |
| DICKENS       |    220.368  |   1016.15   |    702.676  |   0 |    10.7185   |   0 |   0 |    5.36718  |    297.389   |    69 |
| DIMMIT        |    553.624  |   2700.33   |   1788.31   |   0 |    68.0091   |   0 |   0 |   11.6182   |    832.394   |   146 |
| DONLEY        |    348.766  |   2537.75   |    874.534  |   0 |    51.8      |   0 |   0 |   16.5614   |   1594.86    |   156 |
| DUVAL         |    921.388  |   3415.51   |   2453.65   |   0 |   111.069    |   0 |   0 |    1.09097  |    849.701   |   186 |
| EASTLAND      |   1607.53   |   8201.35   |   4322.05   |   0 |   225.64     |   0 |   0 |   51.9089   |   3601.76    |   531 |
| ECTOR         |   7316.5    |  31983      |  14218.7    |   0 |  1719.65     |   0 |   0 |  236.124    |  15808.6     |  2099 |
| EDWARDS       |     98.0005 |   1056.87   |    663.069  |   0 |    51.0897   |   0 |   0 |    5.60789  |    337.099   |    43 |
| ELLIS         |  11708.7    |  48778.3    |  21280.5    |   0 |  3983.55     |   0 |   0 |  494.918    |  23019.4     |  2462 |
| ERATH         |   2194.3    |  10372.4    |   6352.72   |   0 |  1125.91     |   0 |   0 |   92.148    |   2801.61    |   480 |
| FALLS         |   1284.09   |  12524.3    |   6371.47   |   0 |   203.967    |   0 |   0 |   82.1005   |   5866.8     |   602 |
| FAYETTE       |   2206.94   |   9369.24   |   5351.02   |   0 |   150.729    |   0 |   0 |  193.87     |   3673.62    |   635 |
| FISHER        |    433.621  |   1907.06   |   1168.18   |   0 |    52.3878   |   0 |   0 |    2.00953  |    684.483   |   120 |
| FLOYD         |    275.297  |   1445.63   |    723.157  |   0 |    53.9338   |   0 |   0 |  157.084    |    511.458   |   125 |
| FOARD         |    125.469  |    298.458  |    166.15   |   0 |     4.33885  |   0 |   0 |    0.510819 |    127.458   |    33 |
| FORT BEND     |  27538.9    | 102298      |  55545.9    |   0 | 12173.7      |   0 |   0 | 1782.8      |  32796.1     |  4549 |
| FRANKLIN      |   1045.11   |   2924.88   |   1951.39   |   0 |   162.891    |   0 |   0 |   27.9714   |    782.628   |   162 |
| FREESTONE     |   1783.92   |   8489.05   |   4676.23   |   0 |   205.74     |   0 |   0 |  191.608    |   3415.47    |   446 |
| FRIO          |    744.38   |   3292.51   |   1791.89   |   0 |   125.17     |   0 |   0 |   36.1891   |   1339.26    |   172 |
| GAINES        |    684.824  |   1774.16   |    920.678  |   0 |    73.277    |   0 |   0 |   40.5434   |    739.666   |   152 |
| GALVESTON     |  23385.1    |  78318.4    |  41247.4    |   0 |  8761.26     |   0 |   0 | 1097.82     |  27212       |  4444 |
| GARZA         |    307.836  |   1004.19   |    528.188  |   0 |    19.3006   |   0 |   0 |   21.4919   |    435.206   |    85 |
| GILLESPIE     |   3266.31   |  15329.8    |   6888.12   |   0 |   194.55     |   0 |   0 |  332.34     |   7914.77    |   741 |
| GLASSCOCK     |    110.063  |    264.635  |    205.644  |   0 |    19.3962   |   0 |   0 |    1.6232   |     37.9709  |    13 |
| GOLIAD        |    709.398  |   3291.55   |   1823.84   |   0 |   123.622    |   0 |   0 |   52.153    |   1291.93    |   131 |
| GONZALES      |   1729.02   |   5081.69   |   2956.6    |   0 |   238.646    |   0 |   0 |  115.965    |   1770.48    |   242 |
| GRAY          |   1984.29   |   7490.37   |   2923.37   |   0 |   148.364    |   0 |   0 |  117.897    |   4300.74    |   613 |
| GRAYSON       |  12267.3    |  55112.4    |  31548.9    |   0 |  2193.37     |   0 |   0 |  760.755    |  20609.3     |  3521 |
| GREGG         |   9214.02   |  36602.8    |  18965      |   0 |  2414.24     |   0 |   0 |  604.126    |  14619.5     |  2310 |
| GRIMES        |   1955.31   |   7939.15   |   4164.85   |   0 |   314.942    |   0 |   0 |   33.2107   |   3426.15    |   498 |
| GUADALUPE     |  14483.3    | 103154      |  69857.4    |   0 | 12043.9      |   0 |   0 | 1049.9      |  20202.7     |  3211 |
| HALE          |   2080.01   |   7253.38   |   3461.32   |   0 |   357.481    |   0 |   0 |   59.4357   |   3375.15    |   540 |
| HALL          |    226.561  |   1275.88   |    481.689  |   0 |    43.7019   |   0 |   0 |    3.95226  |    746.542   |    98 |
| HAMILTON      |    906.361  |   4330.96   |   2293.58   |   0 |   151.581    |   0 |   0 |   53.0038   |   1832.8     |   222 |
| HANSFORD      |    311.734  |    911.054  |    283.163  |   0 |     5.60707  |   0 |   0 |   84.2545   |    538.029   |    88 |
| HARDEMAN      |    393.202  |   1064.96   |    627.385  |   0 |    29.1814   |   0 |   0 |    6.22453  |    402.173   |    75 |
| HARDIN        |   5644.69   |  15333.9    |   8788.47   |   0 |   839.709    |   0 |   0 |  252.436    |   5453.31    |  1125 |
| HARRISON      |   4811.65   |  28415      |  14817.4    |   0 |  1312.84     |   0 |   0 |  402.714    |  11882.1     |  1461 |
| HARTLEY       |    518.854  |    823.904  |    388.196  |   0 |     7.38241  |   0 |   0 |    2.37957  |    425.946   |    74 |
| HASKELL       |    455.315  |   2348.22   |   1426.65   |   0 |    69.7054   |   0 |   0 |   12.3398   |    839.525   |   142 |
| HAYS          |  10945.2    |  49418      |  26056.4    |   0 |  8618.58     |   0 |   0 |  635.048    |  14108       |  2107 |
| HEMPHILL      |    298.463  |    475.193  |    224.854  |   0 |     5.26697  |   0 |   0 |   29.633    |    215.439   |    55 |
| HENDERSON     |   9527.82   |  35444.9    |  17990.7    |   0 |   844.231    |   0 |   0 |  307.641    |  16302.3     |  2070 |
| HIDALGO       |  26892.4    | 132342      |  75270.5    |   0 |  9656.55     |   0 |   0 |  925.873    |  46488.8     |  7855 |
| HILL          |   3586.33   |  21017.5    |  11084.3    |   0 |   541.251    |   0 |   0 |   92.0916   |   9299.8     |  1129 |
| HOCKLEY       |   1678.2    |   5028.18   |   2572.79   |   0 |   456.621    |   0 |   0 |   36.1053   |   1962.66    |   364 |
| HOOD          |   6640.22   |  20725.8    |  11516      |   0 |  1319.84     |   0 |   0 |  411.598    |   7478.35    |  1370 |
| HOPKINS       |   2584.87   |  11721.6    |   6183.36   |   0 |   370.524    |   0 |   0 |   40.1355   |   5127.62    |   756 |
| HOUSTON       |   2549.72   |   9670.55   |   5052.95   |   0 |   199.403    |   0 |   0 |   86.9728   |   4331.22    |   628 |
| HUDSPETH      |    157.059  |    880.69   |    605.466  |   0 |   102.861    |   0 |   0 |    0        |    172.364   |    35 |
| HUNT          |   8938.82   |  35355      |  16493.6    |   0 |  2299.86     |   0 |   0 |  305.154    |  16256.4     |  2179 |
| HUTCHINSON    |   2270.45   |  10443.2    |   3578.59   |   0 |   174.218    |   0 |   0 |   71.4691   |   6618.91    |   720 |
| IRION         |    195.924  |   1134.95   |    808.089  |   0 |    44.3264   |   0 |   0 |   57.4288   |    225.108   |    35 |
| JACK          |    700.421  |   1917.6    |   1387.05   |   0 |    69.2993   |   0 |   0 |   20.6924   |    440.559   |    87 |
| JACKSON       |   1453.63   |   2995.52   |   2018.66   |   0 |   114.192    |   0 |   0 |   23.1626   |    839.51    |   183 |
| JASPER        |   2753.12   |  11668.6    |   6146.48   |   0 |   386.059    |   0 |   0 |  119.687    |   5016.33    |   916 |
| JEFF DAVIS    |    256.264  |    914.48   |    567.52   |   0 |     4.22251  |   0 |   0 |   11.9661   |    330.771   |    52 |
| JEFFERSON     |  20433.8    |  66806.2    |  37764.7    |   0 |  4347.96     |   0 |   0 |  659.097    |  24034.5     |  4601 |
| JIM HOGG      |    380.425  |   1990.69   |   1380.27   |   0 |    90.7484   |   0 |   0 |   14.8484   |    504.824   |   106 |
| JIM WELLS     |   2864.48   |  11154.6    |   7561.38   |   0 |   592.78     |   0 |   0 |   36.0082   |   2964.45    |   605 |
| JOHNSON       |  12616      |  44898      |  23509.2    |   0 |  3976.38     |   0 |   0 |  589.24     |  16823.2     |  2332 |
| JONES         |   1630.62   |   7678.76   |   4798.09   |   0 |   505.6      |   0 |   0 |   98.6753   |   2276.4     |   412 |
| KARNES        |    946.372  |   5053.59   |   2880.19   |   0 |   185.573    |   0 |   0 |   19.7341   |   1968.09    |   218 |
| KAUFMAN       |   6822.56   |  33460.8    |  15211.4    |   0 |  2332.18     |   0 |   0 |  291.288    |  15625.9     |  1912 |
| KENDALL       |   3183.11   |  18194.8    |  10062.5    |   0 |   957.014    |   0 |   0 |  349.654    |   6825.62    |   629 |
| KENEDY        |     49.0719 |     80.2787 |     58.4206 |   0 |    16.0332   |   0 |   0 |    0        |      5.82488 |     4 |
| KENT          |    146.656  |    283.662  |    226.202  |   0 |    10.5741   |   0 |   0 |    0        |     46.886   |    18 |
| KIMBLE        |    396.744  |   2746.48   |   1474.73   |   0 |    51.4949   |   0 |   0 |   40.5672   |   1179.69    |   143 |
| KING          |     33.9706 |    129.37   |    107.041  |   0 |     0.759158 |   0 |   0 |    0        |     21.5699  |     4 |
| KINNEY        |    428.522  |   2812.4    |   1675.81   |   0 |     7.51793  |   0 |   0 |   22.2621   |   1106.81    |   127 |
| KLEBERG       |   2414.09   |  10035.4    |   6747.41   |   0 |  1384.77     |   0 |   0 |  128.241    |   1775       |   414 |
| KNOX          |    219.42   |   1028.25   |    556.512  |   0 |    35.0004   |   0 |   0 |    2.17177  |    434.564   |    75 |
| LAMAR         |   5032.76   |  21063.1    |  11663.2    |   0 |   685.815    |   0 |   0 |  288.229    |   8425.82    |  1488 |
| LAMB          |    770.139  |   3211.17   |   1583.21   |   0 |   182.487    |   0 |   0 |   60.2686   |   1385.21    |   248 |
| LAMPASAS      |   3435.99   |  33124.4    |  22695.5    |   0 |  2120.47     |   0 |   0 |  220.925    |   8087.46    |  1023 |
| LA SALLE      |    286.003  |   1041.64   |    651.848  |   0 |    76.5756   |   0 |   0 |    1.49855  |    311.722   |    64 |
| LAVACA        |   1721.57   |   7040.76   |   4298.09   |   0 |   112.096    |   0 |   0 |   33.0152   |   2597.56    |   325 |
| LEE           |   1299.23   |   5893.55   |   2870.92   |   0 |   250.174    |   0 |   0 |   51.6942   |   2720.76    |   326 |
| LEON          |   1576.52   |   9418.37   |   4664.18   |   0 |   168.116    |   0 |   0 |   48.823    |   4537.25    |   605 |
| LIBERTY       |   6731.32   |  22115.7    |  11538      |   0 |  1172.71     |   0 |   0 |   62.602    |   9342.42    |  1369 |
| LIMESTONE     |   1766.63   |  13099.8    |   5294.56   |   0 |   263.274    |   0 |   0 |   32.7851   |   7509.21    |   672 |
| LIPSCOMB      |    190.868  |    591.977  |    137.956  |   0 |    49.2763   |   0 |   0 |   68.7738   |    335.971   |    76 |
| LIVE OAK      |   1168.12   |   2961.97   |   1982.46   |   0 |   160.186    |   0 |   0 |   34.7855   |    784.547   |   157 |
| LLANO         |   3217.78   |  12116.5    |   6624.83   |   0 |   191.823    |   0 |   0 |   66.4687   |   5233.36    |   689 |
| LOVING        |     24.9636 |     74.8225 |     66.1296 |   0 |     0        |   0 |   0 |    0        |      8.69288 |     4 |
| LUBBOCK       |  17422.1    |  79448.3    |  41068.3    |   0 |  8813.72     |   0 |   0 | 1416.85     |  28149.5     |  5145 |
| LYNN          |    328.996  |   1012.25   |    568.544  |   0 |    25.4266   |   0 |   0 |   17.2434   |    401.038   |    75 |
| MC CULLOCH    |    665.021  |   3956.87   |   1427.56   |   0 |    85.0558   |   0 |   0 |  113.789    |   2330.46    |   204 |
| MC MULLEN     |    115.305  |    235.162  |    134.103  |   0 |     2.1632   |   0 |   0 |    2.17241  |     96.7231  |    14 |
| MADISON       |    927.252  |   3400.25   |   1858.86   |   0 |   103.623    |   0 |   0 |   25.3356   |   1412.43    |   217 |
| MARION        |   1366.47   |   7068.5    |   3922.48   |   0 |   196.977    |   0 |   0 |  101.838    |   2847.2     |   382 |
| MARTIN        |    299.413  |   1055.13   |    464.045  |   0 |    50.5113   |   0 |   0 |    1.38598  |    539.189   |    75 |
| MASON         |    306.167  |   2252.46   |   1005.52   |   0 |     9.96146  |   0 |   0 |   53.9598   |   1183.02    |    92 |
| MATAGORDA     |   3134.14   |  11815.3    |   6488.92   |   0 |   524.464    |   0 |   0 |  119.159    |   4682.74    |   628 |
| MAVERICK      |   1538.28   |   6397.61   |   3581.51   |   0 |   546.666    |   0 |   0 |   14.4948   |   2254.93    |   282 |
| MEDINA        |   5109.38   |  29142.9    |  17903.6    |   0 |  1939.56     |   0 |   0 |  161.557    |   9138.19    |   931 |
| MENARD        |    284.017  |   1031.28   |    434.901  |   0 |     6.27149  |   0 |   0 |    6.68275  |    583.428   |    61 |
| MIDLAND       |   8383      |  32929.2    |  15715.8    |   0 |  2589.15     |   0 |   0 |  401.904    |  14222.4     |  1991 |
| MILAM         |   2664.57   |  13847.7    |   6517.82   |   0 |   349.863    |   0 |   0 |  185.178    |   6794.84    |   601 |
| MILLS         |    448.258  |   2205.43   |   1278.21   |   0 |    44.0382   |   0 |   0 |    6.0454   |    877.135   |   138 |
| MITCHELL      |    879.38   |   2950.78   |   1375.3    |   0 |   123.557    |   0 |   0 |    7.34248  |   1444.58    |   195 |
| MONTAGUE      |   1900.79   |   6337.94   |   3952.77   |   0 |   163.617    |   0 |   0 |   93.4463   |   2128.1     |   460 |
| MONTGOMERY    |  32928.4    | 106374      |  57141.1    |   0 | 11525.1      |   0 |   0 | 1944.41     |  35763.1     |  6015 |
| MOORE         |    882.165  |   3854.43   |   1600.8    |   0 |   146.574    |   0 |   0 |   19.9815   |   2087.07    |   313 |
| MORRIS        |   1221.89   |   6459.62   |   3877.46   |   0 |   139.408    |   0 |   0 |   82.8334   |   2359.92    |   420 |
| MOTLEY        |    131.54   |    917.468  |    546.502  |   0 |     0.694938 |   0 |   0 |   14.7046   |    355.566   |    55 |
| NACOGDOCHES   |   4128.88   |  19037.2    |  11234      |   0 |  1578.35     |   0 |   0 |  285.645    |   5939.27    |  1001 |
| NAVARRO       |   3964.99   |  19920.9    |   9856.86   |   0 |   861.155    |   0 |   0 |  297.407    |   8905.52    |  1081 |
| NEWTON        |   1116.33   |   4616.47   |   2723.67   |   0 |   131.117    |   0 |   0 |   16.6577   |   1745.03    |   265 |
| NOLAN         |   1173.86   |   6408.08   |   3059.94   |   0 |   144.789    |   0 |   0 |   33.7803   |   3169.57    |   365 |
| NUECES        |  29737.2    | 125741      |  83137.3    |   0 | 13286.8      |   0 |   0 | 2149.03     |  27168.2     |  5855 |
| OCHILTREE     |    493.907  |   1329.22   |    599.065  |   0 |    51.6703   |   0 |   0 |    8.74529  |    669.739   |   114 |
| OLDHAM        |    196.042  |   1045.97   |    308.832  |   0 |     7.20061  |   0 |   0 |    0.207578 |    729.726   |    75 |
| ORANGE        |   7466.03   |  35701.5    |  23739.6    |   0 |  1389.41     |   0 |   0 |  344.161    |  10228.3     |  2060 |
| PALO PINTO    |   2779.88   |  12008.3    |   6506.71   |   0 |   394.428    |   0 |   0 |   92.5291   |   5014.63    |   578 |
| PANOLA        |   1951      |   9954.81   |   4807.44   |   0 |   289.537    |   0 |   0 |  154.117    |   4703.71    |   498 |
| PARKER        |  11648.3    |  40902.6    |  23635.8    |   0 |  2860.97     |   0 |   0 |  680.427    |  13725.4     |  2160 |
| PARMER        |    471.272  |   1476.15   |    619.352  |   0 |    61.0408   |   0 |   0 |   24.0905   |    771.669   |   147 |
| PECOS         |    965.39   |   2268.42   |   1207.15   |   0 |   123.147    |   0 |   0 |    2.0168   |    936.104   |   177 |
| POLK          |   5021.28   |  30892.1    |  18173.8    |   0 |   391.914    |   0 |   0 |  163.549    |  12162.8     |  1763 |
| PRESIDIO      |    415.503  |   1400.08   |   1031.28   |   0 |    41.3549   |   0 |   0 |   15.0463   |    312.403   |    70 |
| RAINS         |   1312.36   |   6165.67   |   3352.77   |   0 |   185.488    |   0 |   0 |   68.2784   |   2559.14    |   361 |
| RANDALL       |   9681.27   |  51670.9    |  19309.2    |   0 |  2755.39     |   0 |   0 |  622.31     |  28984       |  3430 |
| REAGAN        |    140.509  |    946.851  |    477.676  |   0 |    30.1104   |   0 |   0 |    2.02143  |    437.043   |    42 |
| REAL          |    393.233  |   3950.61   |   1227.95   |   0 |    58.4113   |   0 |   0 |   21.6546   |   2642.6     |   165 |
| RED RIVER     |   1177.92   |   5385.64   |   3436.46   |   0 |   122.137    |   0 |   0 |   38.4477   |   1788.59    |   373 |
| REEVES        |    464.913  |   2041.53   |   1057.86   |   0 |    61.8345   |   0 |   0 |   22.0576   |    899.777   |   149 |
| REFUGIO       |    627.94   |   3486.9    |   2224.25   |   0 |    94.4224   |   0 |   0 |    4.01263  |   1164.21    |   157 |
| ROBERTS       |     89.9515 |    193.03   |    107.204  |   0 |     5.63736  |   0 |   0 |    6.60049  |     73.5882  |    10 |
| ROBERTSON     |   1448.02   |   7449.12   |   3356.17   |   0 |   223.555    |   0 |   0 |   41.469    |   3827.93    |   417 |
| ROCKWALL      |   4950.88   |  17009.1    |  10187.9    |   0 |  1918.25     |   0 |   0 |  281.853    |   4621.09    |   846 |
| RUNNELS       |    988.419  |   3412.51   |   2148      |   0 |   136.946    |   0 |   0 |   65.2933   |   1062.26    |   248 |
| RUSK          |   4222.14   |  16628.4    |   9341.06   |   0 |   649.154    |   0 |   0 |  252.259    |   6385.95    |   915 |
| SABINE        |   1226.19   |   7494.57   |   3970.5    |   0 |    91.4139   |   0 |   0 |    8.00353  |   3424.66    |   446 |
| SAN AUGUSTINE |    970.986  |   4197.21   |   2567.41   |   0 |   102.676    |   0 |   0 |   17.3528   |   1509.77    |   258 |
| SAN JACINTO   |   2919.83   |  12292.1    |   6053.05   |   0 |   475.186    |   0 |   0 |   50.4154   |   5713.45    |   698 |
| SAN PATRICIO  |   6431.63   |  27578.6    |  18712.6    |   0 |  2142.86     |   0 |   0 |  243.837    |   6479.22    |  1210 |
| SAN SABA      |    575.291  |   2311.3    |   1104.59   |   0 |     2.78893  |   0 |   0 |   10.6356   |   1193.29    |   147 |
| SCHLEICHER    |    174.997  |    935.614  |    569.96   |   0 |    36.4862   |   0 |   0 |    4.48429  |    324.684   |    31 |
| SCURRY        |   1107.91   |   4427.17   |   1931.67   |   0 |   202.084    |   0 |   0 |    6.56282  |   2286.85    |   281 |
| SHACKELFORD   |    269.303  |    996.753  |    675.56   |   0 |    38.8534   |   0 |   0 |   78.9258   |    203.414   |    55 |
| SHELBY        |   1737.47   |   7412.06   |   3814.92   |   0 |   157.712    |   0 |   0 |   65.34     |   3374.09    |   483 |
| SHERMAN       |    150.084  |    512.309  |    241.786  |   0 |    12.1519   |   0 |   0 |   36.1272   |    222.243   |    38 |
| SOMERVELL     |    634.705  |   2146.72   |    971.835  |   0 |   161.326    |   0 |   0 |   38.9094   |    974.65    |   114 |
| STARR         |   1168.61   |   6974.63   |   4566.68   |   0 |   352.919    |   0 |   0 |   11.2195   |   2043.81    |   331 |
| STEPHENS      |   1053.28   |   2523.41   |   1397.43   |   0 |    66.1183   |   0 |   0 |   25.9801   |   1033.89    |   197 |
| STERLING      |     84.1022 |    173.579  |     55.2686 |   0 |     2.54358  |   0 |   0 |    5.05407  |    110.713   |    22 |
| STONEWALL     |    153.592  |    526.315  |    295.083  |   0 |     2.73561  |   0 |   0 |    1.65106  |    226.845   |    37 |
| SUTTON        |    240.629  |    925.045  |    464.127  |   0 |    28.0899   |   0 |   0 |   75.4414   |    357.387   |    50 |
| SWISHER       |    568.651  |   3088.41   |   1092.96   |   0 |    78.0254   |   0 |   0 |   43.5308   |   1873.89    |   211 |
| TARRANT       | 123700      | 457546      | 242608      |   0 | 59042.7      |   0 |   0 | 7061.21     | 148834       | 22463 |
| TAYLOR        |  12224.9    |  70873.6    |  45206.2    |   0 |  8343.38     |   0 |   0 |  865.584    |  16458.4     |  3145 |
| TERRELL       |    152.868  |    869.089  |    348.624  |   0 |    36.2742   |   0 |   0 |    3.61582  |    480.575   |    32 |
| TERRY         |    811.67   |   2427.11   |   1353.88   |   0 |   114.33     |   0 |   0 |   11.9417   |    946.956   |   157 |
| THROCKMORTON  |    170.713  |    503.488  |    369.509  |   0 |    28.411    |   0 |   0 |    0.267714 |    105.3     |    29 |
| TITUS         |   2042.11   |   6580.74   |   3611.52   |   0 |   294.774    |   0 |   0 |   48.2078   |   2626.24    |   403 |
| TOM GREEN     |  10147.7    |  48790      |  29838.5    |   0 |  4759.34     |   0 |   0 |  875.682    |  13316.5     |  2478 |
| TRINITY       |   2082.21   |  10066.2    |   5051.59   |   0 |   271.514    |   0 |   0 |   76.965    |   4666.18    |   556 |
| TYLER         |   2604.23   |   8555.05   |   4709.15   |   0 |   150.861    |   0 |   0 |   75.8181   |   3619.22    |   622 |
| UPSHUR        |   3774.59   |  15485.2    |   8549.12   |   0 |   451.908    |   0 |   0 |   73.7939   |   6410.4     |   963 |
| UPTON         |    227.229  |    920.514  |    379.156  |   0 |    25.3951   |   0 |   0 |    0.525608 |    515.437   |    65 |
| UVALDE        |   1747.78   |   8048.17   |   4292.02   |   0 |   298.074    |   0 |   0 |   54.1961   |   3403.88    |   377 |
| VAL VERDE     |   3856.79   |  17195      |  10614.8    |   0 |  1542.45     |   0 |   0 |  233.574    |   4804.23    |   741 |
| VAN ZANDT     |   5156.48   |  21741.2    |  11987.1    |   0 |   746.141    |   0 |   0 |  124.506    |   8883.42    |  1218 |
| VICTORIA      |   7181.18   |  25940.6    |  15950.2    |   0 |  1244.8      |   0 |   0 |  187.643    |   8557.88    |  1486 |
| WALKER        |   4544.31   |  15309.1    |   7370.71   |   0 |  2365.5      |   0 |   0 |  359.637    |   5213.26    |   752 |
| WALLER        |   2695.42   |   9042.65   |   4142.15   |   0 |   831.766    |   0 |   0 |   99.6968   |   3969.04    |   446 |
| WARD          |    766.706  |   3440.35   |   2015.62   |   0 |   114.141    |   0 |   0 |   59.7366   |   1250.84    |   204 |
| WASHINGTON    |   2870.76   |  10025.2    |   5267.61   |   0 |   322.183    |   0 |   0 |  347.32     |   4088.08    |   629 |
| WEBB          |   6916.65   |  34674.1    |  20810.2    |   0 |  3113.31     |   0 |   0 |  281.518    |  10469.1     |  2271 |
| WHARTON       |   2802.15   |   9772.03   |   5099.88   |   0 |   399.395    |   0 |   0 |   53.3377   |   4219.42    |   473 |
| WHEELER       |    384.288  |   2001.98   |    739.817  |   0 |    62.3455   |   0 |   0 |   25.64     |   1174.18    |   124 |
| WICHITA       |  13113.6    |  68113.6    |  48344.5    |   0 |  6614.09     |   0 |   0 | 1548.44     |  11606.6     |  2686 |
| WILBARGER     |    868.845  |   3870.93   |   2744.86   |   0 |   154.715    |   0 |   0 |   23.9632   |    947.393   |   209 |
| WILLACY       |   1049.74   |   6050.14   |   3304.59   |   0 |   300.45     |   0 |   0 |    7.64353  |   2437.45    |   308 |
| WILLIAMSON    |  36225.2    | 122059      |  64633.4    |   0 | 16650.6      |   0 |   0 | 2375.42     |  38400       |  6013 |
| WILSON        |   4516.38   |  24841.9    |  15852.1    |   0 |  1554.71     |   0 |   0 |  135.513    |   7299.58    |   995 |
| WINKLER       |    600.503  |   1789.44   |    799.103  |   0 |    64.1878   |   0 |   0 |    0.520492 |    925.629   |    99 |
| WISE          |   6112.06   |  19465.2    |  11353.6    |   0 |   973.307    |   0 |   0 |  210.303    |   6927.99    |  1161 |
| WOOD          |   4912.38   |  19617.8    |  10201.1    |   0 |   373.5      |   0 |   0 |  204.943    |   8838.23    |  1290 |
| YOAKUM        |    407.618  |   1080.03   |    653.126  |   0 |    26.7692   |   0 |   0 |    9.81029  |    390.329   |    95 |
| YOUNG         |   1398.51   |   4125.6    |   2413.87   |   0 |   145.57     |   0 |   0 |   55.6338   |   1510.53    |   305 |
| ZAPATA        |    670.516  |   2847.63   |   1804.39   |   0 |    68.4781   |   0 |   0 |   28.1574   |    946.601   |   175 |
| ZAVALA        |    275.975  |   1718.27   |   1058.21   |   0 |    83.2426   |   0 |   0 |   13.3444   |    563.476   |   104 |



labeled_formulas: H=B*E
H=B*G
H=C*E
H=C*G
H=D*E
H=D*G
H=E*F
H=E*I
H=E*J
H=E*K
H=F*G
H=G*I
H=G*J
H=G*K
H=(B+C)*E
H=(B+C)*G
H=(B+D)*E
H=(B+D)*G
H=(B*E)*F
H=(B*E)*I
H=(B*E)*J
H=(B*E)*K
H=(B+F)*G
H=(B*G)*I
H=(B*G)*J
H=(B*G)*K
H=(C+D)*E
H=(C+D)*G
H=(C*E)*F
H=(C*E)*I
H=(C*E)*J
H=(C*E)*K
H=(C+F)*G
H=(C*G)*I
H=(C*G)*J
H=(C*G)*K
H=(D*E)*F
H=(D*E)*I
H=(D*E)*J
H=(D*E)*K
H=(D+F)*G
H=(D*G)*I
H=(D*G)*J
H=(D*G)*K
H=(E*F)*I
H=(E*F)*J
H=(E*F)*K
H=(E*I)*J
H=(E*I)*K
H=(E*J)*K
H=(F*G)*I
H=(F*G)*J
H=(F*G)*K
H=(G*I)*J
H=(G*I)*K
H=(G*J)*K
output: {"Arithmetic-Relationship": []}
source: $MMTU_HOME/resources/Relationship-finding/AR/table_119143___xlsx_41733d0294b45d708bccba64327d3a7c1798edcb.xlsx___line_207