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:
| F        | G                                                          |   H |    I |    J |   K |   L |   M |
|:---------|:-----------------------------------------------------------|----:|-----:|-----:|----:|----:|----:|
| FTPB 105 | Kew: Marianne North: View in Brisbane Botanic Garden       |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB 106 | Annie Soudain: Foxgloves & Finches                         |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB107  | John Tenniel: Alice and the Cheshire Cat                   |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB108  | William Morris: Seaweed                                    |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB104  | Moomin and Snorkmaiden                                     |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB103  | Vincent van Gogh: Starry Night                             |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB102  | Bodleian Libraries: Girls Adventure Book                   |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB101  | National Gallery - Bosschaert: A Still Life of Flowers     |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB100  | Kew Gardens' Marianne North: Honeyflowers and Honeysuckers |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB099  | Kew Gardens' Marianne North: Foliage and Flowers           |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB098  | Bodleian Libraries: Boys Adventure Book                    |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB097  | Johannes Vermeer: Girl With a Pearl Earring                |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB096  | Leonardo Da Vinci: Detail of the Head of the Virgin        |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB095  | Rudyard Kipling: The Cat that Walked by Himself            |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB094  | Nel Whatmore: Up, Up and Away                              |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB093  | Claude Monet: Bridge Over a Pond of Water-Lilies           |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB092  | Frida Kahlo Pink                                           |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB091  | Eddie Sharam: Cthulhu Rising                               |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB090  | Aimee Stewart: Treasure Hunt Bookshelves                   |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB089  | Vincent Van Gogh: Wheat Field with Cypresses               |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB087  | Aimee Stewart: A Stitch in Time Bookshelf                  |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB086  | Moomin Love                                                |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB085  | Gustav Klimt: Adele Bloch Bauer I                          |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB084  | Mucha: Monaco Monte Carlo                                  |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB082  | Gold Sugar Skull                                           |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB081  | Doré's Empyrean                                            |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB080  | Bosch: The Garden of Earthly Delights                      |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB079  | Anne Stokes: Oriental Dragon                               |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB078  | Moomin: Dangerous Journey                                  |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB077  | Gibson Les Paul Guitar, Sunburst Red                       |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB076  | Van Gogh: Café Terrace                                     |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB075  | Alhambra Tile                                              |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB074  | Nel Whatmore: Tender Loving Care                           |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB073  | Gustav Klimt: Water Serpents I                             |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB072  | Anne Stokes: Blue Moon                                     |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB071  | Elena Goryachkina: Sophia and the Unicorn                  |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB070  | Paul Klee: Landscape with Yellow Birds                     |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB069  | Lesley Anne Ivory: Blossom                                 |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB068  | Mucha: Reverie                                             |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB067  | Octavio Ocampo: Colomba                                    |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB065  | Anne Stokes: Dragonkin                                     |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB064  | Gustav Klimt: The Virgin                                   |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB063  | British Library Tenniel: Alice                             |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB061  | Anne Stokes: Only Love Remains                             |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB060  | Manson: Fairy at Moonlight                                 |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB059  | British Library: Rubaiyat of Omar Khayyam                  |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB058  | Rackham: Alice In Wonderland Tea Party                     |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB057  | Turkish Wall Tiles                                         |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB056  | Van Gogh: Wheat Field with a Lark                          |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB055  | Bodleian Libraries: Hobbies and Pastimes Bookshelves       |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB054  | Da Vinci: Vitruvian Man                                    |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB053  | Bodleian Libraries: High Jinks Bookshelves                 |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB052  | We Can Do it! Poster                                       |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB046  | Gaudi (inspired by): Mosaic                                |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB045  | L.S. Lowry: Coming from the Mill                           |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB042  | Mucha: Cowslip                                             |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB040  | Tiffany: Red Flowers                                       |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB039  | Beyit: Red Dragon                                          |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB038  | Tiffany: Standing Peacock                                  |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB037  | Josephine Wall: Daughter of the Deep                       |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB036  | Jean & Ron Henry: Fairy Story                              |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB035  | Degas: The Star                                            |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB034  | Edvard Munch: The Scream                                   |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB031  | William Morris: Compton                                    |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB029  | Hiroshige: Plum Garden                                     |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB027  | Jean & Ron Henry: Moon Maiden                              |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB021  | Hiroshige: Sea at Satta                                    |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB020  | Van Gogh: Almond Blossom                                   |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB018  | List: Magnolia Tree                                        |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB017  | Detail from The Kiss by Klimt                              |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB016  | Van Gogh: Sunflowers                                       |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB015  | Gibson Les Paul Deluxe                                     |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB014  | Tiffany: Displaying Peacock                                |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB012  | Gustav Klimt: Three Ages of Woman                          |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB007  | Klimt: Fulfilment                                          |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB006  | Hiroshige: Meguro                                          |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB005  | Tiffany Cypress and Lilies                                 |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB004  | Hokusai: The Great Wave                                    |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB003  | Klimt: The Kiss                                            |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |
| FTPB001  | Van Gogh: Starry Night over the Rhone                      |   0 | 7.99 | 6.66 |  48 |   0 | 3.4 |



label: L=H*M
labeled_formulas: L=H*M
output: {"Arithmetic-Relationship": ["L=H*M"]}
source: $MMTU_HOME/resources/Relationship-finding/AR/table_194303___xlsx_d59008bd0e431e04e1f5a5b59474ed86a5e47bcf.xlsx___line_633