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:
|                M |                N |        O |          P |        Q |          R |
|-----------------:|-----------------:|---------:|-----------:|---------:|-----------:|
|     79.3664      |   9989.53        |  6.20505 |    12.7906 |  1609.9  |   0.794495 |
|     82.2926      |  10885.8         |  6.24332 |    13.1809 |  1743.59 |   0.755962 |
|     80.0252      |  10605           |  6.28765 |    12.7274 |  1686.65 |   0.754595 |
|     74.2115      |   9925.4         |  6.3419  |    11.7018 |  1565.05 |   0.747693 |
|     89.9526      |  11816.2         |  6.37271 |    14.1153 |  1854.19 |   0.761265 |
|     83.7713      |  11215           |  6.38748 |    13.1149 |  1755.78 |   0.746955 |
|     68.9106      |   9497.39        |  6.40845 |    10.7531 |  1482.01 |   0.725574 |
|     76.285       |  10670.2         |  6.43191 |    11.8604 |  1658.95 |   0.714932 |
|     83.8999      |  11357.6         |  6.45416 |    12.9994 |  1759.73 |   0.738713 |
|     79.3192      |   9839.47        |  6.46899 |    12.2614 |  1521.02 |   0.806133 |
|     74.3713      |   8945.68        |  6.48756 |    11.4637 |  1378.9  |   0.831366 |
|     75.2665      |   9753.68        |  6.48012 |    11.615  |  1505.17 |   0.771672 |
|     73.4124      |   9744.7         |  6.46773 |    11.3506 |  1506.67 |   0.753357 |
|     72.1526      |   9326.4         |  6.47888 |    11.1366 |  1439.51 |   0.773638 |
|     80.3223      |  10259.1         |  6.50246 |    12.3526 |  1577.73 |   0.782937 |
|     74.854       |   9971.2         |  6.50992 |    11.4985 |  1531.69 |   0.750702 |
|     77.9945      |  10348.4         |  6.54966 |    11.9082 |  1579.99 |   0.753687 |
|     83.5173      |  10931.8         |  6.59441 |    12.6649 |  1657.74 |   0.763982 |
|     87.8013      |  11549.2         |  6.6392  |    13.2247 |  1739.54 |   0.760238 |
|     84.6215      |  11345.7         |  6.68402 |    12.6603 |  1697.44 |   0.745845 |
|     93.1459      |  12069.4         |  6.66175 |    13.9822 |  1811.74 |   0.771754 |
|     85.7306      |  11598.5         |  6.65438 |    12.8833 |  1742.99 |   0.739151 |
|     84.8471      |  11722.2         |  6.6607  |    12.7385 |  1759.91 |   0.723814 |
|     84.697       |  11440.6         |  6.6857  |    12.6684 |  1711.21 |   0.740318 |
|     83.8391      |  11326.4         |  6.70947 |    12.4956 |  1688.12 |   0.740209 |
|     87.6929      |  11621.9         |  6.73452 |    13.0214 |  1725.72 |   0.754549 |
|     86.9117      |  11263.2         |  6.79199 |    12.7962 |  1658.3  |   0.771646 |
|     85.1754      |  11194.8         |  6.83205 |    12.467  |  1638.57 |   0.760847 |
|     92.7962      |  11536.4         |  6.76614 |    13.7148 |  1705.02 |   0.804376 |
|     85.7608      |  10895.3         |  6.65775 |    12.8813 |  1636.48 |   0.787136 |
|     82.1026      |  11144.7         |  6.57674 |    12.4838 |  1694.56 |   0.736699 |
|     80.0398      |  10967.6         |  6.57184 |    12.1792 |  1668.88 |   0.729782 |
|     82.4085      |  11696.3         |  6.60067 |    12.4849 |  1771.99 |   0.704568 |
|     84.9393      |  11955.6         |  6.63578 |    12.8002 |  1801.69 |   0.710455 |
|     84.922       |  11912.4         |  6.70467 |    12.6661 |  1776.74 |   0.712884 |
|     84.5088      |  11629.8         |  6.76486 |    12.4923 |  1719.15 |   0.726656 |
|     90.1677      |  12494.3         |  6.81885 |    13.2233 |  1832.32 |   0.721671 |
|     84.1135      |  11825.1         |  6.86036 |    12.2608 |  1723.69 |   0.711313 |
|     84.4301      |  12046           |  6.8919  |    12.2506 |  1747.85 |   0.700896 |
|     84.4054      |  11965.5         |  6.93599 |    12.1692 |  1725.14 |   0.705404 |
|     89.6452      |  11764.5         |  6.97386 |    12.8545 |  1686.95 |   0.761996 |
|     93.4223      |  12108           |  6.99044 |    13.3643 |  1732.08 |   0.771572 |
|     93.3441      |  12386.8         |  6.918   |    13.4929 |  1790.52 |   0.753578 |
|     90.063       |  12095.5         |  6.91577 |    13.0228 |  1748.97 |   0.744601 |
|     88.1483      |  11926.4         |  6.96374 |    12.6582 |  1712.64 |   0.739102 |
|     87.174       |  12102.1         |  7.03561 |    12.3904 |  1720.12 |   0.72032  |
|     92.3815      |  12482.3         |  7.07865 |    13.0507 |  1763.37 |   0.740101 |
|     95.1528      |  13051.1         |  7.11042 |    13.3822 |  1835.48 |   0.729081 |
|     95.9537      |  12911.4         |  7.12714 |    13.4632 |  1811.59 |   0.743169 |
|     96.3894      |  12834.8         |  7.17279 |    13.4382 |  1789.38 |   0.750998 |
|     97.4181      |  13020.9         |  7.22101 |    13.4909 |  1803.19 |   0.748168 |
|     95.789       |  12739.2         |  7.26549 |    13.1841 |  1753.38 |   0.751925 |
|    103.173       |  13366.6         |  7.31074 |    14.1125 |  1828.35 |   0.771873 |
|    102.288       |  13485.2         |  7.36349 |    13.8912 |  1831.36 |   0.758519 |
|     98.619       |  13107.4         |  7.41493 |    13.3001 |  1767.7  |   0.752392 |
|     99.7926      |  13504.7         |  7.46507 |    13.3679 |  1809.05 |   0.738949 |
|    102.804       |  13275.9         |  7.52395 |    13.6635 |  1764.48 |   0.774364 |
|    116.098       |  14040.6         |  7.55517 |    15.3667 |  1858.4  |   0.826879 |
|    116.774       |  14235.9         |  7.57382 |    15.4181 |  1879.61 |   0.82028  |
|    110.727       |  14461.1         |  7.59998 |    14.5693 |  1902.78 |   0.765688 |
|    114.575       |  14881.3         |  7.64491 |    14.9871 |  1946.56 |   0.769925 |
|    116.628       |  15473.7         |  7.69731 |    15.1518 |  2010.27 |   0.753719 |
|    115.645       |  15043.2         |  7.72588 |    14.9685 |  1947.12 |   0.768749 |
|    121.504       |  14993.9         |  7.70815 |    15.7631 |  1945.19 |   0.810361 |
|    122.656       |  14987.5         |  7.74545 |    15.8359 |  1935    |   0.818392 |
|    122.953       |  14866           |  7.80522 |    15.7526 |  1904.62 |   0.827074 |
|    125.888       |  15064.6         |  7.83995 |    16.0573 |  1921.51 |   0.835659 |
|    130.711       |  15168.3         |  7.85842 |    16.6332 |  1930.2  |   0.861737 |
|    127.545       |  15308           |  7.87812 |    16.1897 |  1943.11 |   0.833188 |
|    129.646       |  16173.1         |  7.92899 |    16.3509 |  2039.74 |   0.801615 |
|    127.017       |  15731.2         |  7.98355 |    15.9098 |  1970.45 |   0.80742  |
|    135.236       |  16025           |  8.03308 |    16.8349 |  1994.88 |   0.843905 |
|    136.006       |  15615.7         |  8.09252 |    16.8064 |  1929.64 |   0.870956 |
|    138.511       |  15894.1         |  8.1544  |    16.986  |  1949.15 |   0.87146  |
|    137.853       |  15540.6         |  8.2125  |    16.7858 |  1892.31 |   0.887053 |
|    143.184       |  16037.1         |  8.29789 |    17.2555 |  1932.67 |   0.892834 |
|    145.012       |  16556.5         |  8.37575 |    17.3133 |  1976.72 |   0.875861 |
|    153.226       |  17035.5         |  8.45602 |    18.1204 |  2014.6  |   0.899454 |
|    152.409       |  16916.7         |  8.54366 |    17.8389 |  1980.02 |   0.900942 |
|    147.418       |  16870.4         |  8.62254 |    17.0968 |  1956.54 |   0.873829 |
|    153.517       |  17641.1         |  8.66786 |    17.711  |  2035.23 |   0.870222 |
|    177.166       |  18143.6         |  8.76273 |    20.2181 |  2070.55 |   0.976464 |
|    176.175       |  17962.9         |  8.82902 |    19.9541 |  2034.53 |   0.980773 |
|    171.835       |  17870.4         |  8.84571 |    19.4258 |  2020.23 |   0.961561 |
|    165.859       |  17940.9         |  8.92921 |    18.5749 |  2009.24 |   0.924475 |
|    165.236       |  17815.9         |  9.01261 |    18.3339 |  1976.77 |   0.927467 |
|    177.718       |  18127.5         |  9.10828 |    19.5117 |  1990.22 |   0.980376 |
|    173.771       |  17825.7         |  9.21495 |    18.8575 |  1934.44 |   0.974831 |
|    167.714       |  17784.9         |  9.30916 |    18.016  |  1910.47 |   0.943013 |
|    168.904       |  18182.9         |  9.43286 |    17.9059 |  1927.62 |   0.928917 |
|    186.307       |  19562.9         |  9.5404  |    19.5282 |  2050.53 |   0.952346 |
|    188.006       |  19646.7         |  9.66013 |    19.4621 |  2033.79 |   0.956935 |
|    207.003       |  20436.3         |  9.77111 |    21.1853 |  2091.5  |   1.01292  |
|    201.547       |  20104.9         |  9.87335 |    20.4133 |  2036.28 |   1.00248  |
|    196.963       |  19454.2         |  9.96072 |    19.7739 |  1953.09 |   1.01244  |
|    240.111       |  21567.3         | 10.0738  |    23.8352 |  2140.93 |   1.11331  |
|    251.493       |  21954.3         | 10.1745  |    24.718  |  2157.78 |   1.14553  |
|    252.105       |  21795           | 10.3082  |    24.4568 |  2114.34 |   1.15671  |
|    265.79        |  22004.5         | 10.427   |    25.4905 |  2110.33 |   1.20789  |
|    294.183       |  22582.8         | 10.5494  |    27.8862 |  2140.67 |   1.30269  |
|    335.815       |  23683.4         | 10.6141  |    31.6387 |  2231.33 |   1.41793  |
|    358.374       |  23896.4         | 10.686   |    33.5368 |  2236.23 |   1.4997   |
|    309.458       |  24167.9         | 10.774   |    28.7226 |  2243.16 |   1.28045  |
|    305.013       |  23656.3         | 10.898   |    27.988  |  2170.7  |   1.28935  |
|    324.643       |  23631.8         | 11.049   |    29.3821 |  2138.82 |   1.37375  |
|    354.986       |  25066.9         | 11.215   |    31.6528 |  2235.13 |   1.41615  |
|    359.681       |  24967.2         | 11.378   |    31.612  |  2194.34 |   1.44061  |
|    384.958       |  26599           | 11.536   |    33.3701 |  2305.74 |   1.44726  |
|    375.583       |  25353.5         | 11.686   |    32.1396 |  2169.56 |   1.48138  |
|    411.122       |  26148.5         | 11.839   |    34.7261 |  2208.67 |   1.57226  |
|    453.538       |  27833.3         | 11.989   |    37.8295 |  2321.57 |   1.62948  |
|    433.423       |  27540.9         | 12.146   |    35.6844 |  2267.49 |   1.57374  |
|    440.857       |  26402.4         | 12.331   |    35.7519 |  2141.14 |   1.66976  |
|    474.665       |  27837.9         | 12.528   |    37.8883 |  2222.05 |   1.7051   |
|    452.765       |  27219.1         | 12.725   |    35.5807 |  2139.03 |   1.66341  |
|    467.331       |  30131.8         | 12.937   |    36.1236 |  2329.12 |   1.55096  |
|    414.51        |  28549.2         | 13.155   |    31.5097 |  2170.21 |   1.45191  |
|    430.422       |  29028.3         | 13.364   |    32.2076 |  2172.12 |   1.48277  |
|    447.284       |  28997.5         | 13.569   |    32.9636 |  2137.04 |   1.54249  |
|    417.005       |  28517.9         | 13.765   |    30.2946 |  2071.77 |   1.46226  |
|    422.94        |  30837.4         | 13.974   |    30.2662 |  2206.77 |   1.37152  |
|    404.761       |  31366.3         | 14.206   |    28.4923 |  2207.96 |   1.29043  |
|    385.166       |  31976.4         | 14.446   |    26.6625 |  2213.51 |   1.20453  |
|    402.921       |  32923.3         | 14.681   |    27.4451 |  2242.58 |   1.22382  |
|    433.737       |  34734           | 14.9     |    29.1098 |  2331.14 |   1.24874  |
|    479.993       |  35519.6         | 15.108   |    31.7708 |  2351.04 |   1.35135  |
|    419.747       |  33617.1         | 15.307   |    27.4219 |  2196.19 |   1.24861  |
|    436.911       |  36212           | 15.506   |    28.1769 |  2335.36 |   1.20654  |
|    436.57        |  36323.4         | 15.726   |    27.761  |  2309.76 |   1.2019   |
|    422.029       |  36631.6         | 15.941   |    26.4745 |  2297.95 |   1.15209  |
|    438.155       |  38276.6         | 16.15    |    27.1303 |  2370.07 |   1.14471  |
|    431.238       |  39471           | 16.368   |    26.3464 |  2411.47 |   1.09254  |
|    428.629       |  39660.1         | 16.563   |    25.8787 |  2394.5  |   1.08076  |
|    419.122       |  40120.4         | 16.75    |    25.0222 |  2395.25 |   1.04466  |
|    444.009       |  41541.5         | 16.967   |    26.169  |  2448.37 |   1.06883  |
|    469.093       |  44062.2         | 17.196   |    27.2792 |  2562.35 |   1.06462  |
|    507.897       |  45224.7         | 17.425   |    29.1476 |  2595.39 |   1.12305  |
|    492.992       |  44849.8         | 17.627   |    27.968  |  2544.38 |   1.09921  |
|    518.47        |  47050.1         | 17.836   |    29.0687 |  2637.93 |   1.10195  |
|    539.852       |  48128.6         | 18.088   |    29.8459 |  2660.81 |   1.12169  |
|    517.664       |  48293.9         | 18.332   |    28.2382 |  2634.4  |   1.0719   |
|    504.51        |  46960.9         | 18.551   |    27.1959 |  2531.45 |   1.07432  |
|    478.447       |  46577.4         | 18.783   |    25.4723 |  2479.76 |   1.02721  |
|    475.664       |  48084.4         | 19.016   |    25.0139 |  2528.63 |   0.989228 |
|    515.909       |  51841.8         | 19.248   |    26.8033 |  2693.36 |   0.99516  |
|    548.303       |  54256.6         | 19.481   |    28.1455 |  2785.1  |   1.01057  |
|    580.735       |  57406.3         | 19.714   |    29.458  |  2911.95 |   1.01162  |
|    615.871       |  56776.7         | 19.947   |    30.8754 |  2846.38 |   1.08473  |
|    572.738       |  58054.2         | 20.18    |    28.3815 |  2876.82 |   0.986559 |
|    569.553       |  58529.8         | 20.413   |    27.9015 |  2867.28 |   0.973098 |
|    526.98        |  57720.7         | 20.646   |    25.5246 |  2795.74 |   0.912982 |
|    539.074       |  60238.9         | 20.879   |    25.819  |  2885.14 |   0.894894 |
|    559.244       |  62079.7         | 21.111   |    26.4907 |  2940.63 |   0.90085  |
|    631.396       |  64391.1         | 21.343   |    29.5833 |  3016.97 |   0.980564 |
|    695.466       |  67163.6         | 21.575   |    32.2348 |  3113.03 |   1.03548  |
|    690.098       |  66417.9         | 21.807   |    31.6457 |  3045.71 |   1.03902  |
|    719.877       |  69435.8         | 22.038   |    32.6653 |  3150.73 |   1.03675  |
|    720.059       |  70158.1         | 22.268   |    32.3361 |  3150.63 |   1.02634  |
|    686.787       |  69929.2         | 22.499   |    30.5252 |  3108.1  |   0.982117 |
|    731.194       |  72610.2         | 22.729   |    32.1701 |  3194.61 |   1.00701  |
|    756.162       |  74484.8         | 22.957   |    32.9382 |  3244.53 |   1.01519  |
|    783.79        |  75867.5         | 23.188   |    33.8015 |  3271.84 |   1.0331   |
|    790.638       |  75200.1         | 23.469   |    33.6886 |  3204.23 |   1.05138  |
|    865.808       |  79250.4         | 23.753   |    36.4505 |  3336.44 |   1.0925   |
|    913.033       |  80334.4         | 24.04    |    37.9798 |  3341.7  |   1.13654  |
|    922.879       |  84086.3         | 24.33    |    37.9317 |  3456.07 |   1.09754  |
|    952.975       |  85201.1         | 24.625   |    38.6995 |  3459.94 |   1.1185   |
|    938.429       |  85591.5         | 24.922   |    37.6547 |  3434.38 |   1.0964   |
|    949.472       |  88951.6         | 25.224   |    37.6416 |  3526.47 |   1.0674   |
|    979.342       |  91116           | 25.529   |    38.3619 |  3569.12 |   1.07483  |
|   1047.53        |  98294.6         | 25.838   |    40.5424 |  3804.27 |   1.06571  |
|   1123.86        | 103975           | 26.1575  |    42.9652 |  3974.96 |   1.0809   |
|   1185.69        | 104446           | 26.5013  |    44.7408 |  3941.15 |   1.13522  |
|   1242.61        | 105216           | 26.8497  |    46.2804 |  3918.72 |   1.18101  |
|   1241.83        | 109721           | 27.2025  |    45.6511 |  4033.49 |   1.1318   |
|   1211.55        | 110677           | 27.5601  |    43.9601 |  4015.85 |   1.09467  |
|   1195.52        | 111107           | 27.9225  |    42.8156 |  3979.13 |   1.07601  |
|   1178.05        | 112066           | 28.2895  |    41.6427 |  3961.41 |   1.05121  |
|   1157.59        | 112054           | 28.6616  |    40.3884 |  3909.57 |   1.03306  |
|   1111.1         | 109931           | 29.0384  |    38.2632 |  3785.7  |   1.01073  |
|   1197.55        | 118258           | 29.4203  |    40.705  |  4019.59 |   1.01266  |
|   1214.03        | 121387           | 29.7887  |    40.7548 |  4074.96 |   1.00013  |
|   1249.74        | 123394           | 30.1056  |    41.5119 |  4098.7  |   1.01281  |
|   1256.34        | 127131           | 30.4259  |    41.2919 |  4178.38 |   0.988226 |
|   1223.47        | 125704           | 30.7497  |    39.788  |  4087.99 |   0.973289 |
|   1199.69        | 124365           | 31.0769  |    38.604  |  4001.85 |   0.964654 |
|   1210.23        | 124779           | 31.4077  |    38.5329 |  3972.89 |   0.969897 |
|   1260.93        | 130221           | 31.742   |    39.7242 |  4102.47 |   0.968302 |
|   1304.46        | 134635           | 32.08    |    40.6628 |  4196.86 |   0.968886 |
|   1375.35        | 139067           | 32.4215  |    42.4209 |  4289.36 |   0.988981 |
|   1408.75        | 140461           | 32.7668  |    42.9933 |  4286.67 |   1.00295  |
|   1405.28        | 144766           | 33.122   |    42.4272 |  4370.67 |   0.970726 |
|   1374.6         | 141016           | 33.5003  |    41.0324 |  4209.4  |   0.97478  |
|   1376.02        | 139635           | 33.8828  |    40.6112 |  4121.12 |   0.985441 |
|   1453.76        | 146532           | 34.2698  |    42.4209 |  4275.83 |   0.99211  |
|   1483.32        | 151234           | 34.6611  |    42.7948 |  4363.2  |   0.980812 |
|   1535.41        | 157520           | 35.0571  |    43.7975 |  4493.24 |   0.974742 |
|   1573.81        | 159713           | 35.4573  |    44.3861 |  4504.37 |   0.985402 |
|   1662.62        | 167514           | 35.8623  |    46.3612 |  4671.02 |   0.992529 |
|   1767.26        | 173914           | 36.2719  |    48.7225 |  4794.72 |   1.01617  |
|   1835.48        | 173893           | 36.6862  |    50.0318 |  4740.02 |   1.05552  |
|   1850.66        | 177861           | 37.0911  |    49.8951 |  4795.25 |   1.04051  |
|   1858.7         | 180593           | 37.4581  |    49.6208 |  4821.19 |   1.02922  |
|   1832.32        | 178576           | 37.8288  |    48.4373 |  4720.64 |   1.02607  |
|   1836.41        | 180944           | 38.2033  |    48.0695 |  4736.33 |   1.01491  |
|   1905.61        | 186978           | 38.5814  |    49.392  |  4846.32 |   1.01917  |
|   1982.16        | 191590           | 38.9635  |    50.8722 |  4917.18 |   1.03458  |
|   2054.27        | 196304           | 39.3494  |    52.2059 |  4988.76 |   1.04647  |
|   1955.29        | 188495           | 39.7392  |    49.203  |  4743.31 |   1.03731  |
|   1997.26        | 192940           | 40.1328  |    49.7662 |  4807.54 |   1.03517  |
|   2083.11        | 198439           | 40.5191  |    51.4105 |  4897.41 |   1.04975  |
|   2168.7         | 205466           | 40.8815  |    53.0485 |  5025.9  |   1.0555   |
|   2261.24        | 209055           | 41.0908  |    55.0303 |  5087.63 |   1.08165  |
|   2359.33        | 218283           | 41.3562  |    57.049  |  5278.12 |   1.08086  |
|   2387.12        | 222649           | 41.7677  |    57.1524 |  5330.66 |   1.07214  |
|   2859.29        | 234880           | 42.062   |    67.9781 |  5584.15 |   1.21734  |
|   3313.29        | 237536           | 42.241   |    78.4378 |  5623.35 |   1.39486  |
|   4098.55        | 236189           | 42.341   |    96.7986 |  5578.27 |   1.73528  |
|   4864.09        | 240701           | 42.295   |   115.004  |  5690.99 |   2.0208   |
|   5223.53        | 221804           | 42.182   |   123.833  |  5258.26 |   2.35502  |
|   5715.18        | 208949           | 42.46    |   134.601  |  4921.08 |   2.7352   |
|   4692.6         | 188760           | 42.6929  |   109.915  |  4421.35 |   2.48601  |
|   4266           | 198721           | 43.1095  |    98.9574 |  4609.69 |   2.14672  |
|   4072.94        | 204546           | 43.3501  |    93.9546 |  4718.48 |   1.99121  |
|   4180.72        | 214136           | 43.6766  |    95.7199 |  4902.75 |   1.95237  |
|   4318           | 221603           | 43.828   |    98.5214 |  5056.2  |   1.94852  |
|   4167.28        | 214624           | 44.0106  |    94.6881 |  4876.65 |   1.94166  |
|   4408.45        | 231059           | 44.178   |    99.7884 |  5230.19 |   1.90793  |
|   4410.07        | 233051           | 44.3762  |    99.3793 |  5251.71 |   1.89232  |
|   4499.95        | 239628           | 44.484   |   101.159  |  5386.83 |   1.87789  |
|   4427.58        | 237649           | 44.6469  |    99.1688 |  5322.85 |   1.86308  |
|   4142.98        | 226555           | 44.8306  |    92.4141 |  5053.58 |   1.82869  |
|   4053.51        | 226721           | 45.084   |    89.9101 |  5028.86 |   1.78788  |
|   4125.66        | 233944           | 45.262   |    91.1507 |  5168.65 |   1.76353  |
|   4335.48        | 247914           | 45.401   |    95.4931 |  5460.55 |   1.74878  |
|   4529.71        | 257096           | 45.5975  |    99.3411 |  5638.38 |   1.76187  |
|   4786.09        | 269370           | 45.8053  |   104.488  |  5880.75 |   1.77677  |
|   5118.6         | 278811           | 46.0076  |   111.256  |  6060.11 |   1.83587  |
|   5278.77        | 280989           | 46.2081  |   114.239  |  6080.94 |   1.87864  |
|   5678.4         | 293369           | 46.4667  |   122.204  |  6313.52 |   1.93559  |
|   6892.33        | 322495           | 46.927   |   146.873  |  6872.27 |   2.13719  |
|   8304.64        | 350594           | 46.908   |   177.041  |  7474.08 |   2.36873  |
|   9098.87        | 356898           | 47.071   |   193.301  |  7582.13 |   2.54943  |
|   9683.83        | 363049           | 47.448   |   204.094  |  7651.51 |   2.66736  |
|   9767.17        | 347091           | 47.659   |   204.939  |  7282.81 |   2.81401  |
|   9504.84        | 331235           | 47.823   |   198.75   |  6926.28 |   2.86951  |
|   9562.79        | 323109           | 47.867   |   199.778  |  6750.13 |   2.95962  |
|  10334.7         | 319002           | 48.1887  |   214.463  |  6619.84 |   3.2397   |
|  11353           | 329180           | 48.6712  |   233.259  |  6763.33 |   3.44888  |
|  12099.5         | 340326           | 48.96    |   247.131  |  6951.1  |   3.55528  |
|  12664.2         | 351613           | 49.1945  |   257.432  |  7147.39 |   3.60176  |
|  14219.7         | 364805           | 48.9289  |   290.619  |  7455.82 |   3.89788  |
|  15445.6         | 370615           | 49.0692  |   314.772  |  7552.91 |   4.16756  |
|  16566.8         | 391095           | 49.2088  |   336.664  |  7947.67 |   4.23601  |
|  17479           | 407900           | 49.3776  |   353.986  |  8260.83 |   4.28512  |
|  19002.4         | 423494           | 49.5523  |   383.481  |  8546.4  |   4.48705  |
|  20632.9         | 430348           | 49.7869  |   414.425  |  8643.8  |   4.79448  |
|  21879.2         | 438585           | 50.0317  |   437.307  |  8766.15 |   4.98859  |
|  22985.6         | 444140           | 50.2502  |   457.424  |  8838.56 |   5.17532  |
|  24108.1         | 462384           | 50.5486  |   476.929  |  9147.32 |   5.21387  |
|  25887.1         | 491418           | 50.9527  |   508.062  |  9644.58 |   5.26784  |
|  27511.3         | 504567           | 51.38    |   535.446  |  9820.29 |   5.45245  |
|  28785.9         | 510169           | 51.8548  |   555.125  |  9838.4  |   5.64243  |
|  30600.3         | 535134           | 52.1782  |   586.457  | 10255.9  |   5.71824  |
|  33434.6         | 564855           | 52.5328  |   636.453  | 10752.4  |   5.91916  |
|  36151.5         | 576966           | 52.8813  |   683.635  | 10910.6  |   6.26579  |
|  38612.1         | 586087           | 53.1671  |   726.24   | 11023.5  |   6.58812  |
|  40871.4         | 602480           | 53.4702  |   764.378  | 11267.6  |   6.78387  |
|  44862.7         | 635405           | 53.7109  |   835.262  | 11830.1  |   7.06049  |
|  48654.1         | 647712           | 53.9465  |   901.896  | 12006.6  |   7.51169  |
|  54749.6         | 665407           | 54.1048  |  1011.92   | 12298.5  |   8.22798  |
|  61317.4         | 688662           | 54.3876  |  1127.41   | 12662.1  |   8.90384  |
|  68856.1         | 717806           | 54.5577  |  1262.08   | 13156.8  |   9.59258  |
|  79784.2         | 764502           | 54.6929  |  1458.77   | 13978.1  |  10.4361   |
|  90322.7         | 745524           | 54.7087  |  1650.97   | 13627.2  |  12.1153   |
| 112188           | 734354           | 54.7022  |  2050.88   | 13424.6  |  15.277    |
| 133383           | 755735           | 54.6926  |  2438.77   | 13817.9  |  17.6494   |
| 155571           | 774273           | 54.6666  |  2845.82   | 14163.5  |  20.0925   |
| 181175           | 806675           | 54.6548  |  3314.9    | 14759.5  |  22.4595   |
| 215181           | 836725           | 54.7118  |  3932.99   | 15293.3  |  25.7171   |
| 253289           | 819564           | 54.7969  |  4622.32   | 14956.4  |  30.9053   |
| 282198           | 813099           | 54.8145  |  5148.23   | 14833.6  |  34.7065   |
| 310413           | 829654           | 54.7462  |  5670.03   | 15154.6  |  37.4147   |
| 341276           | 864843           | 54.7651  |  6231.63   | 15791.9  |  39.461    |
| 366900           | 884692           | 54.852   |  6688.91   | 16128.7  |  41.4721   |
| 403608           | 921921           | 54.9886  |  7339.86   | 16765.7  |  43.7791   |
| 434783           | 951182           | 55.1103  |  7889.32   | 17259.6  |  45.7098   |
| 482273           |      1.00236e+06 | 55.222   |  8733.35   | 18151.5  |  48.1137   |
| 539987           |      1.06058e+06 | 55.331   |  9759.2    | 19168    |  50.9141   |
| 596396           |      1.08819e+06 | 55.486   | 10748.6    | 19612    |  54.806    |
| 648482           |      1.09621e+06 | 55.6419  | 11654.6    | 19701.2  |  59.1564   |
| 682792           |      1.08417e+06 | 55.8314  | 12229.5    | 19418.6  |  62.9786   |
| 705566           |      1.08827e+06 | 55.9613  | 12608.1    | 19446.8  |  64.8338   |
| 741576           |      1.11576e+06 | 56.0783  | 13223.9    | 19896.4  |  66.4638   |
| 779190           |      1.15932e+06 | 56.2184  | 13860      | 20621.8  |  67.2107   |
| 817700           |      1.1886e+06  | 56.3757  | 14504.5    | 21083.6  |  68.7952   |
| 872488           |      1.21912e+06 | 56.5026  | 15441.5    | 21576.4  |  71.5668   |
| 917193           |      1.25748e+06 | 56.643   | 16192.5    | 22200.1  |  72.9389   |
| 958556           |      1.29645e+06 | 56.7972  | 16876.8    | 22825.9  |  73.9371   |
| 998410           |      1.3392e+06  | 57.0054  | 17514.3    | 23492.6  |  74.5525   |
|      1.05643e+06 |      1.38968e+06 | 57.2031  | 18468.1    | 24293.7  |  76.0201   |
|      1.09546e+06 |      1.42726e+06 | 57.4242  | 19076.7    | 24854.7  |  76.7528   |
|      1.14701e+06 |      1.46063e+06 | 57.6681  | 19889.8    | 25328.1  |  78.5286   |
|      1.21451e+06 |      1.51227e+06 | 57.9317  | 20964.5    | 26104.3  |  80.3106   |
|      1.27586e+06 |      1.55011e+06 | 58.2363  | 21908.3    | 26617.6  |  82.3076   |
|      1.34828e+06 |      1.59696e+06 | 58.6855  | 22974.6    | 27212.1  |  84.4278   |
|      1.42229e+06 |      1.63735e+06 | 59.084   | 24072.4    | 27712.3  |  86.8653   |
|      1.49488e+06 |      1.68014e+06 | 59.5574  | 25099.8    | 28210.4  |  88.9736   |
|      1.52884e+06 |      1.66813e+06 | 60.0446  | 25461.8    | 27781.4  |  91.6505   |
|      1.4854e+06  |      1.59563e+06 | 60.4672  | 24565.3    | 26388.4  |  93.0914   |
|      1.53794e+06 |      1.62538e+06 | 60.9546  | 25230.9    | 26665.5  |  94.6202   |
|      1.59308e+06 |      1.64935e+06 | 61.4708  | 25916      | 26831.4  |  96.5883   |
|      1.63903e+06 |      1.67078e+06 | 61.8814  | 26486.6    | 26999.7  |  98.0996   |
|      1.70243e+06 |      1.70243e+06 | 62.2759  | 27336.9    | 27336.9  | 100        |
|      1.78462e+06 |      1.7537e+06  | 62.7563  | 28437.4    | 27944.6  | 101.764    |
|      1.83411e+06 |      1.79188e+06 | 63.2584  | 28993.9    | 28326.4  | 102.357    |
|      1.89965e+06 |      1.82424e+06 | 63.71    | 29817.2    | 28633.5  | 104.134    |



label: P=M/O
Q=N/O
labeled_formulas: P=M/O
Q=N/O
output: {"Arithmetic-Relationship": ["P=M/O", "Q=N/O"]}
source: $MMTU_HOME/resources/Relationship-finding/AR/table_565413___xlsx_1601a7f2aad17d4e02620ba5a76c60aaa0e2cc9d.xlsx___line_124