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 |         L |         M |
|:----|:-----------------------------------------------|----:|:-----------------------------|----------:|---------:|------:|---------:|--------:|--------:|----------:|----------:|----------:|
| Q62 | London                                         |  86 | Barking and Dagenham         |  4790.4   |  203.8   | 19900 | 1.09824  | 228.515 | 228.515 |  4994.2   |  2497.1   |  2512.1   |
| Q51 | South Yorkshire and Bassetlaw                  |  41 | Barnsley                     |  5067.6   |    0     | 14700 | 0.945769 | 364.502 | 364.502 |  5067.6   |  2533.8   |  2548.8   |
| Q64 | Bath, Gloucester, Swindon & Wiltshire          | 137 | Bath and North East Somerset |  2743.97  |    0     |  9600 | 0.998784 | 286.178 | 286.178 |  2743.97  |  1371.99  |  1386.99  |
| Q58 | Hertfordshire and the South Midlands           |  78 | Bedford                      |  2539.78  |   12     | 10700 | 1.00812  | 236.564 | 236.564 |  2551.78  |  1275.89  |  1290.89  |
| Q62 | London                                         |  88 | Bexley                       |  3410.31  |    0     | 16500 | 1.0824   | 190.951 | 190.951 |  3410.31  |  1705.15  |  1720.15  |
| Q54 | Birmingham and the Black Country               |  64 | Birmingham                   | 22418     |  -28     | 85900 | 0.971006 | 268.435 | 268.435 | 22390     | 11195     | 11210     |
| Q47 | Lancashire                                     |  15 | Blackburn with Darwen        |  3729     |    0     | 11200 | 0.944217 | 352.616 | 352.616 |  3729     |  1864.5   |  1879.5   |
| Q47 | Lancashire                                     |  16 | Blackpool                    |  3072     |    0     |  8400 | 0.942329 | 388.096 | 388.096 |  3072     |  1536     |  1551     |
| Q46 | Greater Manchester                             |  19 | Bolton                       |  5640.93  |    0     | 19700 | 0.95745  | 299.067 | 299.067 |  5640.93  |  2820.46  |  2835.46  |
| Q70 | Wessex                                         | 143 | Bournemouth                  |  3605.16  |    0     | 11200 | 0.993305 | 324.059 | 324.059 |  3605.16  |  1802.58  |  1817.58  |
| Q69 | Thames Valley                                  | 119 | Bracknell Forest             |  1517     |    0     |  8000 | 1.13291  | 167.379 | 167.379 |  1517     |   758.5   |   773.5   |
| Q52 | West Yorkshire                                 |  45 | Bradford                     | 12236     |    0     | 41300 | 0.946135 | 313.139 | 313.139 | 12236     |  6118     |  6133     |
| Q62 | London                                         |  89 | Brent                        |  4583.88  |  542.539 | 24100 | 1.13699  | 187.085 | 187.085 |  5126.42  |  2563.21  |  2763     |
| Q68 | Surrey & Sussex                                | 126 | Brighton and Hove            |  4191.18  |    0     | 15400 | 0.98567  | 276.111 | 276.111 |  4191.18  |  2095.59  |  2110.59  |
| Q65 | Bristol, North Somerset, Somerset & South Glos | 138 | Bristol, City of             |  7567.52  |    0     | 31300 | 1.00963  | 239.468 | 239.468 |  7567.52  |  3783.76  |  3798.76  |
| Q69 | Thames Valley                                  | 130 | Buckinghamshire              |  6013     |   78     | 33000 | 1.0907   | 169.227 | 169.227 |  6091     |  3045.5   |  3060.5   |
| Q46 | Greater Manchester                             |  20 | Bury                         |  3582.18  |    0     | 12700 | 0.965175 | 292.239 | 292.239 |  3582.18  |  1791.09  |  1806.09  |
| Q52 | West Yorkshire                                 |  46 | Calderdale                   |  4025     |  324     | 13300 | 0.947372 | 345.157 | 345.157 |  4349     |  2174.5   |  2189.5   |
| Q56 | East Anglia                                    |  80 | Cambridgeshire               |  7691     |    0     | 38700 | 1.00875  | 197.01  | 197.01  |  7691     |  3845.5   |  3860.5   |
| Q62 | London                                         |  91 | Camden                       |  4212.05  |    0     | 14000 | 1.1963   | 251.492 | 251.492 |  4212.05  |  2106.02  |  2121.02  |
| Q58 | Hertfordshire and the South Midlands           |  79 | Central Bedfordshire         |  3756.22  |   18     | 17300 | 1.00812  | 216.406 | 216.406 |  3774.22  |  1887.11  |  1902.11  |
| Q44 | Cheshire, Warrington & Wirral                  |  17 | Cheshire East                |  4675.69  |    0     | 20500 | 0.971833 | 234.693 | 234.693 |  4675.69  |  2337.84  |  2352.84  |
| Q44 | Cheshire, Warrington & Wirral                  |  18 | Cheshire West and Chester    |  4183.51  |    0     | 18600 | 0.970039 | 231.867 | 231.867 |  4183.51  |  2091.76  |  2106.76  |
| Q62 | London                                         |  85 | City of London               |    90     |   30     |   300 | 1.18548  | 337.415 | 337.415 |   120     |    60     |    75     |
| Q66 | Devon, Cornwall and the Isles of Scilly        | 146 | Cornwall                     |  7309.7   |    6     | 29500 | 0.915063 | 271.008 | 271.008 |  7315.7   |  3657.85  |  3672.85  |
| Q45 | Durham, Darlington & Tees                      |   6 | County Durham                |  9757     |    0     | 28900 | 0.931026 | 362.624 | 362.624 |  9757     |  4878.5   |  4893.5   |
| Q53 | Arden, Herefordshire & Worcestershire          |  65 | Coventry                     |  4617.64  |  966     | 24300 | 0.983145 | 233.719 | 233.719 |  5583.64  |  2791.82  |  2806.82  |
| Q62 | London                                         |  92 | Croydon                      |  5415.5   |   50     | 28700 | 1.10632  | 172.135 | 172.135 |  5465.5   |  2732.75  |  2747.75  |
| Q49 | Cumbria, Northumb, Tyne & Wear                 |  34 | Cumbria                      |  5167     |    0     | 25100 | 0.946376 | 217.521 | 217.521 |  5167     |  2583.5   |  2598.5   |
| Q45 | Durham, Darlington & Tees                      |   5 | Darlington                   |  2399     |    0     |  6500 | 0.959754 | 384.554 | 384.554 |  2399     |  1199.5   |  1214.5   |
| Q55 | Derbyshire and Nottinghamshire                 |  51 | Derby                        |  6157     |    0     | 17900 | 0.96652  | 355.881 | 355.881 |  6157     |  3078.5   |  3093.5   |
| Q55 | Derbyshire and Nottinghamshire                 |  55 | Derbyshire**                 | 10249.8   |    0     | 42700 | 0.947979 | 253.215 | 253.215 | 10249.8   |  5124.9   |  5139.9   |
| Q66 | Devon, Cornwall and the Isles of Scilly        | 149 | Devon                        |  8988.6   |    8     | 39200 | 0.939506 | 244.283 | 244.283 |  8996.6   |  4498.3   |  4513.3   |
| Q51 | South Yorkshire and Bassetlaw                  |  42 | Doncaster                    |  6869.67  |    0     | 18900 | 0.958531 | 379.199 | 379.199 |  6869.67  |  3434.83  |  3449.83  |
| Q70 | Wessex                                         | 150 | Dorset                       |  4503.71  |    0     | 19700 | 0.958883 | 238.418 | 238.418 |  4503.71  |  2251.86  |  2266.86  |
| Q54 | Birmingham and the Black Country               |  66 | Dudley                       |  4876     |    0     | 19000 | 0.950009 | 270.136 | 270.136 |  4876     |  2438     |  2453     |
| Q62 | London                                         |  93 | Ealing                       |  4561.75  |  724.834 | 26600 | 1.12552  | 176.58  | 176.58  |  5286.59  |  2643.29  |  2863     |
| Q50 | North Yorkshire and The Humber                 |  37 | East Riding of Yorkshire     |  2925.95  |  116     | 16400 | 0.935962 | 198.175 | 198.175 |  3041.95  |  1520.97  |  1535.97  |
| Q68 | Surrey & Sussex                                | 131 | East Sussex                  |  6969.37  |    0     | 28600 | 0.962971 | 253.055 | 253.055 |  6969.37  |  3484.69  |  3499.69  |
| Q62 | London                                         |  94 | Enfield                      |  4413     |  451.15  | 25900 | 1.11737  | 168.078 | 168.078 |  4864.15  |  2432.08  |  2447.08  |
| Q57 | Essex                                          |  81 | Essex                        | 21932.1   |    0     | 85600 | 1.01455  | 252.541 | 252.541 | 21932.1   | 10966     | 10981     |
| Q49 | Cumbria, Northumb, Tyne & Wear                 |   8 | Gateshead                    |  3943     |    0     | 11800 | 0.954357 | 350.134 | 350.134 |  3943     |  1971.5   |  1986.5   |
| Q64 | Bath, Gloucester, Swindon & Wiltshire          | 151 | Gloucestershire              |  6252.23  |    0     | 34800 | 0.980244 | 183.283 | 183.283 |  6252.23  |  3126.11  |  3141.11  |
| Q62 | London                                         |  95 | Greenwich                    |  7118.69  |    0     | 22000 | 1.13352  | 285.461 | 285.461 |  7118.69  |  3559.35  |  3574.35  |
| Q62 | London                                         |  96 | Hackney                      |  8018.43  |  -30     | 20700 | 1.18548  | 325.534 | 325.534 |  7988.43  |  3994.22  |  4009.22  |
| Q48 | Merseyside                                     |  13 | Halton                       |  2790.5   |    0     |  8000 | 0.970022 | 359.592 | 359.592 |  2790.5   |  1395.25  |  1410.25  |
| Q62 | London                                         |  97 | Hammersmith and Fulham       |  3961.91  |    0     | 11900 | 1.16101  | 286.762 | 286.762 |  3961.91  |  1980.96  |  1995.96  |
| Q70 | Wessex                                         | 132 | Hampshire                    | 17657     |    0     | 78800 | 1.02419  | 218.78  | 218.78  | 17657     |  8828.48  |  8843.48  |
| Q62 | London                                         |  98 | Haringey                     |  3764.01  | 1050     | 18700 | 1.14687  | 224.467 | 224.467 |  4814.01  |  2407.01  |  2422.01  |
| Q45 | Durham, Darlington & Tees                      |   1 | Hartlepool                   |  1493     |    0     |  5800 | 0.932711 | 275.984 | 275.984 |  1493     |   746.499 |   761.499 |
| Q53 | Arden, Herefordshire & Worcestershire          |  60 | Herefordshire, County of     |  2365.23  |  136     |  9800 | 0.941638 | 271.047 | 271.047 |  2501.23  |  1250.62  |  1265.62  |
| Q58 | Hertfordshire and the South Midlands           |  82 | Hertfordshire                | 16315     |   54     | 78600 | 1.06312  | 195.892 | 195.892 | 16369     |  8184.5   |  8199.5   |
| Q62 | London                                         | 101 | Hillingdon                   |  4243.4   |    0     | 22500 | 1.13368  | 166.357 | 166.357 |  4243.4   |  2121.7   |  2136.7   |
| Q70 | Wessex                                         | 129 | Isle of Wight                |  2422.8   |    0     |  6700 | 0.968238 | 373.475 | 373.475 |  2422.8   |  1211.4   |  1226.4   |
| Q66 | Devon, Cornwall and the Isles of Scilly        | 147 | Isles of Scilly              |    44.4   |    0     |   100 | 0.915063 | 485.212 | 485.212 |    44.4   |    22.2   |    37.2   |
| Q62 | London                                         | 103 | Islington                    |  3595.07  |  558     | 13500 | 1.16695  | 263.624 | 263.624 |  4153.07  |  2076.54  |  2091.54  |
| Q62 | London                                         | 104 | Kensington and Chelsea       |  2653.56  |    0     |  9100 | 1.18119  | 246.869 | 246.869 |  2653.56  |  1326.78  |  1341.78  |
| Q67 | Kent & Medway                                  | 133 | Kent                         | 21601     | 2156     | 92200 | 0.993734 | 259.293 | 259.293 | 23757     | 11878.5   | 11893.5   |
| Q50 | North Yorkshire and The Humber                 |  36 | Kingston upon Hull, City of  |  5405     |  -72     | 17700 | 0.932075 | 323.257 | 323.257 |  5333     |  2666.5   |  2681.5   |
| Q62 | London                                         | 105 | Kingston upon Thames         |  2194     |    0     | 12000 | 1.12974  | 161.837 | 161.837 |  2194     |  1097     |  1112     |
| Q52 | West Yorkshire                                 |  47 | Kirklees                     |  5983     |   84     | 29200 | 0.947739 | 219.231 | 219.231 |  6067     |  3033.5   |  3048.5   |
| Q48 | Merseyside                                     |  29 | Knowsley                     |  3156     |    0     |  9600 | 0.963888 | 341.067 | 341.067 |  3156     |  1578     |  1593     |
| Q62 | London                                         | 106 | Lambeth                      |  9274.2   |    0     | 21800 | 1.17772  | 361.226 | 361.226 |  9274.2   |  4637.1   |  4652.1   |
| Q47 | Lancashire                                     |  35 | Lancashire                   | 18038     |    0     | 69000 | 0.948823 | 275.521 | 275.521 | 18038     |  9019     |  9034     |
| Q52 | West Yorkshire                                 |  48 | Leeds                        |  9955.5   |    0     | 50600 | 0.967547 | 203.348 | 203.348 |  9955.5   |  4977.75  |  4992.75  |
| Q59 | Leicestershire and Lincolnshire                |  52 | Leicester                    |  8545.42  |    0     | 25600 | 0.961766 | 347.076 | 347.076 |  8545.42  |  4272.71  |  4287.71  |
| Q59 | Leicestershire and Lincolnshire                |  56 | Leicestershire               |  6374.48  |    0     | 37200 | 0.966194 | 177.352 | 177.352 |  6374.48  |  3187.24  |  3202.24  |
| Q62 | London                                         | 107 | Lewisham                     |  7549.11  |    0     | 23400 | 1.13302  | 284.736 | 284.736 |  7549.11  |  3774.55  |  3789.55  |
| Q59 | Leicestershire and Lincolnshire                |  57 | Lincolnshire                 |  8302.5   |    0     | 40100 | 0.927408 | 223.251 | 223.251 |  8302.5   |  4151.25  |  4166.25  |
| Q48 | Merseyside                                     |  30 | Liverpool                    |  9659     |    0     | 28200 | 0.960375 | 356.65  | 356.65  |  9659     |  4829.5   |  4844.5   |
| Q58 | Hertfordshire and the South Midlands           |  75 | Luton                        |  4168     |   30     | 17600 | 1.03999  | 229.35  | 229.35  |  4198     |  2099     |  2114     |
| Q46 | Greater Manchester                             |  21 | Manchester                   | 10852.2   |    0     | 38300 | 0.99178  | 285.696 | 285.696 | 10852.2   |  5426.11  |  5441.11  |
| Q67 | Kent & Medway                                  | 118 | Medway                       |  5186     | -172     | 18300 | 1.00804  | 271.805 | 271.805 |  5014     |  2507     |  2522     |
| Q45 | Durham, Darlington & Tees                      |   2 | Middlesbrough                |  2766     |    0     | 10000 | 0.94524  | 292.624 | 292.624 |  2766     |  1383     |  1398     |
| Q58 | Hertfordshire and the South Midlands           | 125 | Milton Keynes                |  4127     |    0     | 20300 | 1.04759  | 194.065 | 194.065 |  4127     |  2063.5   |  2078.5   |
| Q49 | Cumbria, Northumb, Tyne & Wear                 |   9 | Newcastle upon Tyne          |  5467     |    0     | 17100 | 0.956609 | 334.209 | 334.209 |  5467     |  2733.5   |  2748.5   |
| Q62 | London                                         | 109 | Newham                       |  9258.4   |    0     | 28700 | 1.14196  | 282.491 | 282.491 |  9258.4   |  4629.2   |  4644.2   |
| Q56 | East Anglia                                    |  83 | Norfolk                      | 13755.5   |    0     | 48000 | 0.932689 | 307.254 | 307.254 | 13755.5   |  6877.75  |  6892.75  |
| Q50 | North Yorkshire and The Humber                 |  38 | North East Lincolnshire      |  2568.4   |    0     |  9900 | 0.953758 | 272.013 | 272.013 |  2568.4   |  1284.2   |  1299.2   |
| Q50 | North Yorkshire and The Humber                 |  39 | North Lincolnshire           |  2126.2   |    0     |  9800 | 0.933242 | 232.479 | 232.479 |  2126.2   |  1063.1   |  1078.1   |
| Q65 | Bristol, North Somerset, Somerset & South Glos | 139 | North Somerset               |  3241.05  |    0     | 12400 | 0.984393 | 265.519 | 265.519 |  3241.05  |  1620.52  |  1635.52  |
| Q49 | Cumbria, Northumb, Tyne & Wear                 |  10 | North Tyneside               |  3318     |    0     | 11700 | 0.954936 | 296.972 | 296.972 |  3318     |  1659     |  1674     |
| Q50 | North Yorkshire and The Humber                 |  50 | North Yorkshire              |  5039     |    0     | 31000 | 0.9608   | 169.18  | 169.18  |  5039     |  2519.5   |  2534.5   |
| Q58 | Hertfordshire and the South Midlands           |  58 | Northamptonshire             | 10002     |   34     | 47100 | 0.977829 | 217.91  | 217.91  | 10036     |  5018     |  5033     |
| Q49 | Cumbria, Northumb, Tyne & Wear                 |   7 | Northumberland               |  5063     |    0     | 15800 | 0.962285 | 333.002 | 333.002 |  5063     |  2531.5   |  2546.5   |
| Q55 | Derbyshire and Nottinghamshire                 |  54 | Nottingham                   | 10608     |    0     | 20800 | 0.961761 | 530.278 | 530.278 | 10608     |  5304     |  5319     |
| Q55 | Derbyshire and Nottinghamshire                 |  59 | Nottinghamshire**            | 11599.4   |    0     | 46300 | 0.95348  | 262.75  | 262.75  | 11599.4   |  5799.7   |  5814.7   |
| Q46 | Greater Manchester                             |  22 | Oldham                       |  4297.18  |    0     | 16400 | 0.964687 | 271.615 | 271.615 |  4297.18  |  2148.59  |  2163.59  |
| Q69 | Thames Valley                                  | 134 | Oxfordshire                  |  8636     |    0     | 42200 | 1.03206  | 198.287 | 198.287 |  8636     |  4318     |  4333     |
| Q56 | East Anglia                                    |  74 | Peterborough                 |  3096     |    0     | 15300 | 0.979271 | 206.636 | 206.636 |  3096     |  1548     |  1563     |
| Q66 | Devon, Cornwall and the Isles of Scilly        | 141 | Plymouth                     |  5115.5   |    4     | 16100 | 0.932884 | 340.859 | 340.859 |  5119.5   |  2559.75  |  2574.75  |
| Q70 | Wessex                                         | 144 | Poole                        |  2544.76  |    0     |  8900 | 0.993305 | 287.855 | 287.855 |  2544.76  |  1272.38  |  1287.38  |
| Q70 | Wessex                                         | 127 | Portsmouth                   |  3995.92  |    0     | 13400 | 1.01691  | 293.244 | 293.244 |  3995.92  |  1997.96  |  2012.96  |
| Q69 | Thames Valley                                  | 121 | Reading                      |  2862     |    0     | 12100 | 1.0727   | 220.498 | 220.498 |  2862     |  1431     |  1446     |
| Q45 | Durham, Darlington & Tees                      |   3 | Redcar and Cleveland         |  2203     |    0     |  7900 | 0.959745 | 290.557 | 290.557 |  2203     |  1101.5   |  1116.5   |
| Q46 | Greater Manchester                             |  23 | Rochdale                     |  4568.85  |    0     | 15200 | 0.959344 | 313.32  | 313.32  |  4568.85  |  2284.42  |  2299.42  |
| Q51 | South Yorkshire and Bassetlaw                  |  43 | Rotherham                    |  4269.3   |    0     | 15900 | 0.946259 | 283.759 | 283.759 |  4269.3   |  2134.65  |  2149.65  |
| Q59 | Leicestershire and Lincolnshire                |  53 | Rutland                      |   359.775 |    0     |  1800 | 0.966194 | 206.868 | 206.868 |   359.775 |   179.887 |   194.887 |
| Q46 | Greater Manchester                             |  24 | Salford                      |  4858.4   |    0     | 17500 | 0.977472 | 284.021 | 284.021 |  4858.4   |  2429.2   |  2444.2   |
| Q54 | Birmingham and the Black Country               |  67 | Sandwell                     |  6319     |    0     | 24100 | 0.953538 | 274.975 | 274.975 |  6319     |  3159.5   |  3174.5   |
| Q48 | Merseyside                                     |  32 | Sefton                       |  4401     |    0     | 14500 | 0.95351  | 318.316 | 318.316 |  4401     |  2200.5   |  2215.5   |
| Q51 | South Yorkshire and Bassetlaw                  |  44 | Sheffield                    |  7417.05  |    0     | 34200 | 0.944321 | 229.66  | 229.66  |  7417.05  |  3708.53  |  3723.53  |
| Q60 | Shropshire and Staffordshire                   |  63 | Shropshire                   |  2918.83  |    0     | 15400 | 0.936819 | 202.317 | 202.317 |  2918.83  |  1459.42  |  1474.42  |
| Q69 | Thames Valley                                  | 122 | Slough                       |  3061     |    0     | 13200 | 1.13291  | 204.689 | 204.689 |  3061     |  1530.5   |  1545.5   |
| Q54 | Birmingham and the Black Country               |  68 | Solihull                     |  2756     |   28     | 12300 | 0.9883   | 229.021 | 229.021 |  2784     |  1392     |  1407     |
| Q65 | Bristol, North Somerset, Somerset & South Glos | 152 | Somerset                     |  7832.15  | -176     | 29800 | 0.945023 | 271.864 | 271.864 |  7656.15  |  3828.07  |  3843.07  |
| Q65 | Bristol, North Somerset, Somerset & South Glos | 140 | South Gloucestershire        |  3280.45  |    0     | 16200 | 1.01509  | 199.487 | 199.487 |  3280.45  |  1640.22  |  1655.22  |
| Q49 | Cumbria, Northumb, Tyne & Wear                 |  11 | South Tyneside               |  2754     |    0     |  8400 | 0.943715 | 347.411 | 347.411 |  2754     |  1377     |  1392     |
| Q70 | Wessex                                         | 128 | Southampton                  |  4175.08  |    0     | 16200 | 1.01307  | 254.395 | 254.395 |  4175.08  |  2087.54  |  2102.54  |
| Q57 | Essex                                          |  76 | Southend-on-Sea              |  2679.56  |    0     | 11400 | 0.990597 | 237.28  | 237.28  |  2679.56  |  1339.78  |  1354.78  |
| Q62 | London                                         | 112 | Southwark                    |  6897.13  |    0     | 22600 | 1.16972  | 260.902 | 260.902 |  6897.13  |  3448.56  |  3463.56  |
| Q48 | Merseyside                                     |  31 | St. Helens                   |  3134.5   |    0     | 10600 | 0.970022 | 304.846 | 304.846 |  3134.5   |  1567.25  |  1582.25  |
| Q60 | Shropshire and Staffordshire                   |  71 | Staffordshire                | 10629     |    0     | 45500 | 0.950759 | 245.703 | 245.703 | 10629     |  5314.5   |  5329.5   |
| Q46 | Greater Manchester                             |  25 | Stockport                    |  4822.48  |    0     | 17600 | 0.983805 | 278.515 | 278.515 |  4822.48  |  2411.24  |  2426.24  |
| Q45 | Durham, Darlington & Tees                      |   4 | Stockton-on-Tees             |  2776.35  |    0     | 12600 | 0.942874 | 233.695 | 233.695 |  2776.35  |  1388.17  |  1403.17  |
| Q60 | Shropshire and Staffordshire                   |  62 | Stoke-on-Trent               |  3592     |    0     | 17800 | 0.933842 | 216.094 | 216.094 |  3592     |  1796     |  1811     |
| Q56 | East Anglia                                    |  84 | Suffolk                      |  8382.5   |    0     | 42200 | 0.95917  | 207.093 | 207.093 |  8382.5   |  4191.25  |  4206.25  |
| Q49 | Cumbria, Northumb, Tyne & Wear                 |  12 | Sunderland                   |  5469     |    0     | 15800 | 0.942701 | 367.178 | 367.178 |  5469     |  2734.5   |  2749.5   |
| Q64 | Bath, Gloucester, Swindon & Wiltshire          | 145 | Swindon                      |  2914.38  |    0     | 15100 | 1.02895  | 187.574 | 187.574 |  2914.38  |  1457.19  |  1472.19  |
| Q46 | Greater Manchester                             |  26 | Tameside                     |  3512.73  |    0     | 15000 | 0.977872 | 239.481 | 239.481 |  3512.73  |  1756.36  |  1771.36  |
| Q60 | Shropshire and Staffordshire                   |  61 | Telford and Wrekin           |  2493.17  |  620     | 11200 | 0.961737 | 289.02  | 289.02  |  3113.17  |  1556.58  |  1571.58  |
| Q57 | Essex                                          |  77 | Thurrock                     |  3881.52  |    0     | 12200 | 1.04927  | 303.217 | 303.217 |  3881.52  |  1940.76  |  1955.76  |
| Q66 | Devon, Cornwall and the Isles of Scilly        | 142 | Torbay                       |  2955.4   |    2     |  7100 | 0.92221  | 451.67  | 451.67  |  2957.4   |  1478.7   |  1493.7   |
| Q62 | London                                         | 114 | Tower Hamlets                |  7050.56  |  629.3   | 22000 | 1.17086  | 298.145 | 298.145 |  7679.86  |  3839.93  |  3854.93  |
| Q46 | Greater Manchester                             |  27 | Trafford                     |  3254.93  |    0     | 15100 | 0.983641 | 219.143 | 219.143 |  3254.93  |  1627.46  |  1642.46  |
| Q52 | West Yorkshire                                 |  49 | Wakefield                    |  6503     |    0     | 20400 | 0.962531 | 331.184 | 331.184 |  6503     |  3251.5   |  3266.5   |
| Q54 | Birmingham and the Black Country               |  69 | Walsall                      |  4261     |    0     | 18900 | 0.947042 | 238.057 | 238.057 |  4261     |  2130.5   |  2145.5   |
| Q62 | London                                         | 115 | Waltham Forest               |  5557.02  |  228.95  | 22400 | 1.11764  | 231.114 | 231.114 |  5785.97  |  2892.98  |  2907.98  |
| Q62 | London                                         | 116 | Wandsworth                   |  5378.33  |  334     | 23600 | 1.15378  | 209.787 | 209.787 |  5712.33  |  2856.17  |  2871.17  |
| Q44 | Cheshire, Warrington & Wirral                  |  14 | Warrington                   |  2903.21  |    0     | 12800 | 0.971481 | 233.472 | 233.472 |  2903.21  |  1451.61  |  1466.61  |
| Q53 | Arden, Herefordshire & Worcestershire          |  72 | Warwickshire                 |  6337.6   |  284     | 31600 | 0.984604 | 212.821 | 212.821 |  6621.6   |  3310.8   |  3325.8   |
| Q69 | Thames Valley                                  | 120 | West Berkshire               |  1808     |    0     |  9900 | 1.0727   | 170.249 | 170.249 |  1808     |   904     |   919     |
| Q68 | Surrey & Sussex                                | 136 | West Sussex                  | 11133.6   |    0     | 47600 | 0.999035 | 234.125 | 234.125 | 11133.6   |  5566.8   |  5581.8   |
| Q62 | London                                         | 117 | Westminster                  |  4453.47  |    0     | 13600 | 1.20758  | 271.172 | 271.172 |  4453.47  |  2226.74  |  2241.74  |
| Q46 | Greater Manchester                             |  28 | Wigan                        |  5491.75  |    0     | 19600 | 0.957567 | 292.608 | 292.608 |  5491.75  |  2745.88  |  2760.88  |
| Q64 | Bath, Gloucester, Swindon & Wiltshire          | 148 | Wiltshire                    |  5137.32  |    0     | 28300 | 0.980601 | 185.122 | 185.122 |  5137.32  |  2568.66  |  2583.66  |
| Q69 | Thames Valley                                  | 123 | Windsor and Maidenhead       |  1884     |    0     |  9400 | 1.13291  | 176.913 | 176.913 |  1884     |   942     |   957     |
| Q44 | Cheshire, Warrington & Wirral                  |  33 | Wirral                       |  5013.14  |    0     | 19200 | 0.955771 | 273.184 | 273.184 |  5013.14  |  2506.57  |  2521.57  |
| Q69 | Thames Valley                                  | 124 | Wokingham                    |  1829     |    0     | 10300 | 1.0727   | 165.538 | 165.538 |  1829     |   914.5   |   929.5   |
| Q54 | Birmingham and the Black Country               |  70 | Wolverhampton                |  4366     |    0     | 17500 | 0.950999 | 262.341 | 262.341 |  4366     |  2183     |  2198     |
| Q53 | Arden, Herefordshire & Worcestershire          |  73 | Worcestershire               |  6643.02  |   10     | 31600 | 0.954888 | 220.485 | 220.485 |  6653.03  |  3326.51  |  3341.51  |
| Q50 | North Yorkshire and The Humber                 |  40 | York                         |  1846     |  -44     | 10800 | 0.9608   | 173.659 | 173.659 |  1802     |   901     |   916     |



labeled_formulas: K=E+F
output: {"Arithmetic-Relationship": []}
source: $MMTU_HOME/resources/Relationship-finding/AR/table_403399___xlsx_ec62272c00e164d707aa2446d5df5c0b9a1da507.xlsx___line_1178