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 |
|:------------|:------------------------------------------------------|---------:|----:|----:|----:|---------------:|----:|---------------:|------------:|
| ZNB00CL     | 1/8" X CLOSE BLACK NIPPLE                             |    3.38  |   0 |   0 |  25 | 10082647111711 | 450 | 20082647111718 | 82647111714 |
| ZNB00112    | 1/8" X 1-1/2" BLACK NIPPLE                            |    4.17  |   0 |   0 |  25 | 10082647111957 | 450 | 20082647111954 | 82647111950 |
| ZNB002      | 1/8" X 2" BLACK NIPPLE                                |    4.18  |   0 |   0 |  25 | 10082647111186 | 450 | 20082647111183 | 82647111189 |
| ZNB00212    | 1/8" X 2-1/2" BLACK NIPPLE                            |    4.88  |   0 |   0 |  25 | 10082647111568 | 450 | 20082647111565 | 82647111561 |
| ZNB003      | 1/8" X 3" BLACK NIPPLE                                |    4.88  |   0 |   0 |  25 | 10082647110455 | 450 | 20082647110452 | 82647110458 |
| ZNB00312    | 1/8" X 3-1/2" BLACK NIPPLE                            |    5.88  |   0 |   0 |  25 | 10082647110967 | 450 | 20082647110964 | 82647110960 |
| ZNB004      | 1/8" X 4" BLACK NIPPLE                                |    5.88  |   0 |   0 |  25 | 10082647109565 | 450 | 20082647109562 | 82647109568 |
| ZNB00412    | 1/8" X 4-1/2" BLACK NIPPLE                            |   11.16  |   0 |   0 |  25 | 10082647110011 | 300 | 20082647110018 | 82647110014 |
| ZNB005      | 1/8" X 5" BLACK NIPPLE                                |   11.16  |   0 |   0 |  25 | 10082647108681 | 300 | 20082647108688 | 82647108684 |
| ZNB00512    | 1/8" X 5-1/2" BLACK NIPPLE                            |   12.23  |   0 |   0 |  25 | 10082647109367 | 300 | 20082647109364 | 82647109360 |
| ZNB006      | 1/8" X 6" BLACK NIPPLE                                |   12.23  |   0 |   0 |  25 | 10082647111773 | 300 | 20082647111770 | 82647111776 |
| ZNB007      | 1/8" X 7" BLACK NIPPLE                                |   16.85  |   0 |   0 |  25 | 10082647147925 | 150 | 20082647147922 | 82647147928 |
| ZNB008      | 1/8" X 8" BLACK NIPPLE                                |   16.85  |   0 |   0 |  25 | 10082647147932 | 150 | 20082647147939 | 82647147935 |
| ZNB009      | 1/8" X 9" BLACK NIPPLE                                |   19.26  |   0 |   0 |  25 | 10082647147949 | 150 | 20082647147946 | 82647147942 |
| ZNB0010     | 1/8" X 10" BLACK NIPPLE                               |   19.26  |   0 |   0 |  25 | 10082647147901 | 200 | 20082647147908 | 82647147904 |
| ZNB0012     | 1/8" X 12" BLACK NIPPLE                               |   19.68  |   0 |   0 |  25 | 10082647147918 | 100 | 20082647147915 | 82647147911 |
| ZNB01CL     | 1/4" X CLOSE BLACK NIPPLE                             |    4.09  |   0 |   0 |  25 | 10082647111537 | 450 | 20082647111534 | 82647111530 |
| ZNB01112    | 1/4" X 1-1/2" BLACK NIPPLE                            |    4.34  |   0 |   0 |  25 | 10082647112077 | 450 | 20082647112074 | 82647112070 |
| ZNB012      | 1/4" X 2" BLACK NIPPLE                                |    4.34  |   0 |   0 |  25 | 10082647111292 | 450 | 20082647111299 | 82647111295 |
| ZNB01212    | 1/4" X 2-1/2" BLACK NIPPLE                            |    5.6   |   0 |   0 |  25 | 10082647111339 | 450 | 20082647111336 | 82647111332 |
| ZNB013      | 1/4" X 3" BLACK NIPPLE                                |    5.6   |   0 |   0 |  25 | 10082647110189 | 450 | 20082647110186 | 82647110182 |
| ZNB01312    | 1/4" X 3-1/2" BLACK NIPPLE                            |    6.48  |   0 |   0 |  25 | 10082647110592 | 450 | 20082647110599 | 82647110595 |
| ZNB014      | 1/4" X 4" BLACK NIPPLE                                |    6.48  |   0 |   0 |  25 | 10082647109671 | 450 | 20082647109678 | 82647109674 |
| ZNB01412    | 1/4" X 4-1/2" BLACK NIPPLE                            |    9.84  |   0 |   0 |  25 | 10082647110080 | 300 | 20082647110087 | 82647110083 |
| ZNB015      | 1/4" X 5" BLACK NIPPLE                                |    9.84  |   0 |   0 |  25 | 10082647108865 | 300 | 20082647108862 | 82647108868 |
| ZNB01512    | 1/4" X 5-1/2" BLACK NIPPLE                            |   11.59  |   0 |   0 |  25 | 10082647108957 | 300 | 20082647108954 | 82647108950 |
| ZNB016      | 1/4" X 6" BLACK NIPPLE                                |   11.59  |   0 |   0 |  25 | 10082647111605 | 300 | 20082647111602 | 82647111608 |
| ZNB017      | 1/4" X 7" BLACK NIPPLE                                |   17.81  |   0 |   0 |  25 | 10082647147956 | 150 | 20082647147953 | 82647147959 |
| ZNB018      | 1/4" X 8" BLACK NIPPLE                                |   17.81  |   0 |   0 |  25 | 10082647110400 | 150 | 20082647110407 | 82647110403 |
| ZNB019      | 1/4" X 9" BLACK NIPPLE                                |   20.96  |   0 |   0 |  25 | 10082647147963 | 100 | 20082647147960 | 82647147966 |
| ZNB0110     | 1/4" X 10" BLACK NIPPLE                               |   20.96  |   0 |   0 |  25 | 10082647108810 | 100 | 20082647108817 | 82647108813 |
| ZNB0111     | 1/4" X 11" BLACK NIPPLE                               |   23.11  |   0 |   0 |  25 | 10082647147895 | 100 | 20082647147892 | 82647147898 |
| ZNB0112     | 1/4" X 12" BLACK NIPPLE                               |   23.11  |   0 |   0 |  25 | 10082647109664 | 100 | 20082647109661 | 82647109667 |
| ZNB02CL     | 3/8" X CLOSE BLACK NIPPLE                             |    4.17  |   0 |   0 |  25 | 10082647111599 | 450 | 20082647111596 | 82647111592 |
| ZNB02112    | 3/8" X 1-1/2" BLACK NIPPLE                            |    4.75  |   0 |   0 |  25 | 10082647111759 | 450 | 20082647111756 | 82647111752 |
| ZNB022      | 3/8" X 2" BLACK NIPPLE                                |    4.75  |   0 |   0 |  25 | 10082647110868 | 450 | 20082647110865 | 82647110861 |
| ZNB02212    | 3/8" X 2-1/2" BLACK NIPPLE                            |    6.09  |   0 |   0 |  25 | 10082647111421 | 450 | 20082647111428 | 82647111424 |
| ZNB023      | 3/8" X 3" BLACK NIPPLE                                |    6.09  |   0 |   0 |  25 | 10082647110264 | 450 | 20082647110261 | 82647110267 |
| ZNB02312    | 3/8" X 3-1/2" BLACK NIPPLE                            |    7.16  |   0 |   0 |  25 | 10082647110691 | 450 | 20082647110698 | 82647110694 |
| ZNB024      | 3/8" X 4" BLACK NIPPLE                                |    7.16  |   0 |   0 |  25 | 10082647109770 | 450 | 20082647109777 | 82647109773 |
| ZNB02412    | 3/8" X 4-1/2" BLACK NIPPLE                            |   10.33  |   0 |   0 |  25 | 10082647109831 | 300 | 20082647109838 | 82647109834 |
| ZNB025      | 3/8" X 5" BLACK NIPPLE                                |   10.33  |   0 |   0 |  25 | 10082647112183 | 300 | 20082647112180 | 82647112186 |
| ZNB02512    | 3/8" X 5-1/2" BLACK NIPPLE                            |   11.5   |   0 |   0 |  25 | 10082647109084 | 300 | 20082647109081 | 82647109087 |
| ZNB026      | 3/8" X 6" BLACK NIPPLE                                |   11.5   |   0 |   0 |  25 | 10082647111667 | 300 | 20082647111664 | 82647111660 |
| ZNB027      | 3/8" X 7" BLACK NIPPLE                                |   20.24  |   0 |   0 |  25 | 10082647111223 | 150 | 20082647111220 | 82647111226 |
| ZNB028      | 3/8" X 8" BLACK NIPPLE                                |   20.24  |   0 |   0 |  25 | 10082647147987 | 150 | 20082647147984 | 82647147980 |
| ZNB029      | 3/8" X 9" BLACK NIPPLE                                |   22.71  |   0 |   0 |  25 | 10082647147994 | 150 | 20082647147991 | 82647147997 |
| ZNB0210     | 3/8" X 10" BLACK NIPPLE                               |   22.71  |   0 |   0 |  25 | 10082647108988 | 100 | 20082647108985 | 82647108981 |
| ZNB0211     | 3/8" X 11" BLACK NIPPLE                               |   25.8   |   0 |   0 |  25 | 10082647147970 | 100 | 20082647147977 | 82647147973 |
| ZNB0212     | 3/8" X 12" BLACK NIPPLE                               |   25.8   |   0 |   0 |  25 | 10082647109756 | 100 | 20082647109753 | 82647109759 |
| ZNB03CL     | 1/2" X CLOSE BLACK NIPPLE                             |    3.54  |   0 |   0 |  25 | 10082647111414 | 450 | 20082647111411 | 82647111417 |
| ZNB03112    | 1/2" X 1-1/2" BLACK NIPPLE                            |    3.54  |   0 |   0 |  25 | 10082647111841 | 450 | 20082647111848 | 82647111844 |
| ZNB032      | 1/2" X 2" BLACK NIPPLE                                |    3.54  |   0 |   0 |  25 | 10082647111018 | 450 | 20082647111015 | 82647111011 |
| ZNB03212    | 1/2" X 2-1/2" BLACK NIPPLE                            |    4.17  |   0 |   0 |  25 | 10082647111483 | 300 | 20082647111480 | 82647111486 |
| ZNB033      | 1/2" X 3" BLACK NIPPLE                                |    4.17  |   0 |   0 |  25 | 10082647110059 | 300 | 20082647110056 | 82647110052 |
| ZNB03312    | 1/2" X 3-1/2" BLACK NIPPLE                            |    5.01  |   0 |   0 |  25 | 10082647110394 | 300 | 20082647110391 | 82647110397 |
| ZNB034      | 1/2" X 4" BLACK NIPPLE                                |    5.01  |   0 |   0 |  25 | 10082647109381 | 300 | 20082647109388 | 82647109384 |
| ZNB03412    | 1/2" X 4-1/2" BLACK NIPPLE                            |    5.88  |   0 |   0 |  25 | 10082647109893 | 200 | 20082647109890 | 82647109896 |
| ZNB035      | 1/2" X 5" BLACK NIPPLE                                |    5.88  |   0 |   0 |  25 | 10082647112312 | 200 | 20082647112319 | 82647112315 |
| ZNB03512    | 1/2" X 5-1/2" BLACK NIPPLE                            |    6.56  |   0 |   0 |  25 | 10082647109213 | 200 | 20082647109210 | 82647109216 |
| ZNB036      | 1/2" X 6" BLACK NIPPLE                                |    6.56  |   0 |   0 |  25 | 10082647111476 | 200 | 20082647111473 | 82647111479 |
| ZNB037      | 1/2" X 7" BLACK NIPPLE                                |   11.82  |   0 |   0 |  25 | 10082647110769 | 150 | 20082647110766 | 82647110762 |
| ZNB038      | 1/2" X 8" BLACK NIPPLE                                |   11.82  |   0 |   0 |  25 | 10082647110226 | 150 | 20082647110223 | 82647110229 |
| ZNB039      | 1/2" X 9" BLACK NIPPLE                                |   14.21  |   0 |   0 |  25 | 10082647109176 | 100 | 20082647109173 | 82647109179 |
| ZNB0310     | 1/2" X 10" BLACK NIPPLE                               |   14.21  |   0 |   0 |  25 | 10082647109114 | 100 | 20082647109111 | 82647109117 |
| ZNB0311     | 1/2" X 11" BLACK NIPPLE                               |   16.87  |   0 |   0 |  25 | 10082647109244 | 100 | 20082647109241 | 82647109247 |
| ZNB0312     | 1/2" X 12" BLACK NIPPLE                               |   16.87  |   0 |   0 |  25 | 10082647109855 | 100 | 20082647109852 | 82647109858 |
| ZNB04CL     | 3/4" X CLOSE BLACK NIPPLE                             |    4.05  |   0 |   0 |  25 | 10082647111452 | 450 | 20082647111459 | 82647111455 |
| ZNB04112    | 3/4" X 1-1/2" BLACK NIPPLE                            |    4.34  |   0 |   0 |  25 | 10082647111643 | 450 | 20082647111640 | 82647111646 |
| ZNB042      | 3/4" X 2" BLACK NIPPLE                                |    4.34  |   0 |   0 |  25 | 10082647110622 | 300 | 20082647110629 | 82647110625 |
| ZNB04212    | 3/4" X 2-1/2" BLACK NIPPLE                            |    4.92  |   0 |   0 |  25 | 10082647111216 | 200 | 20082647111213 | 82647111219 |
| ZNB043      | 3/4" X 3" BLACK NIPPLE                                |    4.92  |   0 |   0 |  25 | 10082647110097 | 200 | 20082647110094 | 82647110090 |
| ZNB04312    | 3/4" X 3-1/2" BLACK NIPPLE                            |    6.09  |   0 |   0 |  25 | 10082647110486 | 200 | 20082647110483 | 82647110489 |
| ZNB044      | 3/4" X 4" BLACK NIPPLE                                |    6.09  |   0 |   0 |  25 | 10082647109527 | 150 | 20082647109524 | 82647109520 |
| ZNB04412    | 3/4" X 4-1/2" BLACK NIPPLE                            |    7.65  |   0 |   0 |  25 | 10082647109596 | 150 | 20082647109593 | 82647109599 |
| ZNB045      | 3/4" X 5" BLACK NIPPLE                                |    7.65  |   0 |   0 |  25 | 10082647111902 | 150 | 20082647111909 | 82647111905 |
| ZNB04512    | 3/4" X 5-1/2" BLACK NIPPLE                            |    8.67  |   0 |   0 |  25 | 10082647108742 | 150 | 20082647108749 | 82647108745 |
| ZNB046      | 3/4" X 6" BLACK NIPPLE                                |    8.67  |   0 |   0 |  25 | 10082647111520 | 150 | 20082647111527 | 82647111523 |
| ZNB047      | 3/4" X 7" BLACK NIPPLE                                |   14.49  |   0 |   0 |  25 | 10082647110912 | 100 | 20082647110919 | 82647110915 |
| ZNB048      | 3/4" X 8" BLACK NIPPLE                                |   14.49  |   0 |   0 |  25 | 10082647109985 | 100 | 20082647109982 | 82647109988 |
| ZNB049      | 3/4" X 9" BLACK NIPPLE                                |   16.83  |   0 |   0 |  25 | 10082647109305 | 100 | 20082647109302 | 82647109308 |
| ZNB0410     | 3/4" X 10" BLACK NIPPLE                               |   16.83  |   0 |   0 |  25 | 10082647108582 | 100 | 20082647108589 | 82647108585 |
| ZNB0411     | 3/4" X 11" BLACK NIPPLE                               |   18.73  |   0 |   0 |  25 | 10082647109343 | 100 | 20082647109340 | 82647109346 |
| ZNB0412     | 3/4" X 12" BLACK NIPPLE                               |   18.73  |   0 |   0 |  25 | 10082647109497 | 100 | 20082647109494 | 82647109490 |
| ZNB05CL     | 1" X CLOSE BLACK NIPPLE                               |    5.88  |   0 |   0 |  25 | 10082647111506 | 200 | 20082647111503 | 82647111509 |
| ZNB052      | 1" X 2" BLACK NIPPLE                                  |    6.46  |   0 |   0 |  25 | 10082647110721 | 200 | 20082647110728 | 82647110724 |
| ZNB05212    | 1" X 2-1/2" BLACK NIPPLE                              |    6.8   |   0 |   0 |  25 | 10082647111322 | 150 | 20082647111329 | 82647111325 |
| ZNB05212TOE | 1" X 2-1/2" BLACK NIPPLE TOE                          |    7.08  |   0 |   0 |  25 | 10082647200576 | 150 | 20082647200573 | 82647200579 |
| ZNB053      | 1" X 3" BLACK NIPPLE                                  |    6.8   |   0 |   0 |  25 | 10082647110165 | 150 | 20082647110162 | 82647110168 |
| ZNB05312    | 1" X 3-1/2" BLACK NIPPLE                              |    8.46  |   0 |   0 |  25 | 10082647110219 | 150 | 20082647110216 | 82647110212 |
| ZNB054      | 1" X 4" BLACK NIPPLE                                  |    8.46  |   0 |   0 |  25 | 10082647109107 | 100 | 20082647109104 | 82647109100 |
| ZNB05412    | 1" X 4-1/2" BLACK NIPPLE                              |   10.01  |   0 |   0 |  25 | 10082647109701 | 100 | 20082647109708 | 82647109704 |
| ZNB055      | 1" X 5" BLACK NIPPLE                                  |   10.01  |   0 |   0 |  25 | 10082647112015 | 100 | 20082647112012 | 82647112018 |
| ZNB05512    | 1" X 5-1/2" BLACK NIPPLE                              |   11.84  |   0 |   0 |  25 | 10082647108919 | 100 | 20082647108916 | 82647108912 |
| ZNB056      | 1" X 6" BLACK NIPPLE                                  |   11.84  |   0 |   0 |  25 | 10082647111582 | 100 | 20082647111589 | 82647111585 |
| ZNB057      | 1" X 7" BLACK NIPPLE                                  |   19.34  |   0 |   0 |  10 | 10082647110547 |  60 | 20082647110544 | 82647110540 |
| ZNB05712    | 1" X 7 1/2" BLACK NIPPLE                              |   19.34  |   0 |   0 |  25 | 10082647156620 |  60 | 20082647156627 | 82647156623 |
| ZNB058      | 1" X 8" BLACK NIPPLE                                  |   19.34  |   0 |   0 |  10 | 10082647110073 |  60 | 20082647110070 | 82647110076 |
| ZNB059      | 1" X 9" BLACK NIPPLE                                  |   22.62  |   0 |   0 |  10 | 10082647109435 |  40 | 20082647109432 | 82647109438 |
| ZNB0510     | 1" X 10" BLACK NIPPLE                                 |   22.62  |   0 |   0 |  10 | 10082647108773 |  40 | 20082647108770 | 82647108776 |
| ZNB0511     | 1" X 11" BLACK NIPPLE                                 |   25.97  |   0 |   0 |  10 | 10082647108940 |  40 | 20082647108947 | 82647108943 |
| ZNB0512     | 1" X 12" BLACK NIPPLE                                 |   25.97  |   0 |   0 |  10 | 10082647109619 |  40 | 20082647109616 | 82647109612 |
| ZNB06CL     | 1-1/4" X CLOSE BLACK NIPPLE                           |    7.44  |   0 |   0 |   5 | 10082647111278 |  90 | 20082647111275 | 82647111271 |
| ZNB062      | 1-1/4" X 2" BLACK NIPPLE                              |    8.44  |   0 |   0 |   5 | 10082647110806 |  90 | 20082647110803 | 82647110809 |
| ZNB06212    | 1-1/4" X 2-1/2" BLACK NIPPLE                          |    8.97  |   0 |   0 |   5 | 10082647110905 |  90 | 20082647110902 | 82647110908 |
| ZNB063      | 1-1/4" X 3" BLACK NIPPLE                              |    8.97  |   0 |   0 |   5 | 10082647109909 |  90 | 20082647109906 | 82647109902 |
| ZNB06312    | 1-1/4" X 3-1/2" BLACK NIPPLE                          |   10.61  |   0 |   0 |   5 | 10082647110271 |  90 | 20082647110278 | 82647110274 |
| ZNB064      | 1-1/4" X 4" BLACK NIPPLE                              |   10.61  |   0 |   0 |   5 | 10082647109237 |  90 | 20082647109234 | 82647109230 |
| ZNB06412    | 1-1/4" X 4-1/2" BLACK NIPPLE                          |   12.68  |   0 |   0 |   5 | 10082647109817 |  60 | 20082647109814 | 82647109810 |
| ZNB065      | 1-1/4" X 5" BLACK NIPPLE                              |   12.68  |   0 |   0 |   5 | 10082647112138 |  60 | 20082647112135 | 82647112131 |
| ZNB06512    | 1-1/4" X 5-1/2" BLACK NIPPLE                          |   15.06  |   0 |   0 |   5 | 10082647112251 |  60 | 20082647112258 | 82647112254 |
| ZNB066      | 1-1/4" X 6" BLACK NIPPLE                              |   15.06  |   0 |   0 |   5 | 10082647111391 |  60 | 20082647111398 | 82647111394 |
| ZNB067      | 1-1/4" X 7" BLACK NIPPLE                              |   24.31  |   0 |   0 |   5 | 10082647110653 |  30 | 20082647110650 | 82647110656 |
| ZNB068      | 1-1/4" X 8" BLACK NIPPLE                              |   24.31  |   0 |   0 |   5 | 10082647109800 |  30 | 20082647109807 | 82647109803 |
| ZNB069      | 1-1/4" X 9" BLACK NIPPLE                              |   29.14  |   0 |   0 |   5 | 10082647109015 |  20 | 20082647109012 | 82647109018 |
| ZNB0610     | 1-1/4" X 10" BLACK NIPPLE                             |   29.14  |   0 |   0 |   5 | 10082647112114 |  20 | 20082647112111 | 82647112117 |
| ZNB0611     | 1-1/4" X 11" BLACK NIPPLE                             |   33.04  |   0 |   0 |   5 | 10082647109060 |  20 | 20082647109067 | 82647109063 |
| ZNB0612     | 1-1/4" X 12" BLACK NIPPLE                             |   33.04  |   0 |   0 |   5 | 10082647109206 |  20 | 20082647109203 | 82647109209 |
| ZNB07CL     | 1-1/2" X CLOSE BLACK NIPPLE                           |    9.27  |   0 |   0 |   5 | 10082647111377 |  90 | 20082647111374 | 82647111370 |
| ZNB072      | 1-1/2" X 2" BLACK NIPPLE                              |    9.99  |   0 |   0 |   5 | 10082647110509 |  90 | 20082647110506 | 82647110502 |
| ZNB07212    | 1-1/2" X 2-1/2" BLACK NIPPLE                          |   11.16  |   0 |   0 |   5 | 10082647111063 |  60 | 20082647111060 | 82647111066 |
| ZNB073      | 1-1/2" X 3" BLACK NIPPLE                              |   11.16  |   0 |   0 |   5 | 10082647110004 |  60 | 20082647110001 | 82647110007 |
| ZNB07312    | 1-1/2" X 3-1/2" BLACK NIPPLE                          |   12.55  |   0 |   0 |   5 | 10082647110363 |  60 | 20082647110360 | 82647110366 |
| ZNB074      | 1-1/2" X 4" BLACK NIPPLE                              |   12.55  |   0 |   0 |   5 | 10082647108766 |  60 | 20082647108763 | 82647108769 |
| ZNB07412    | 1-1/2" X 4-1/2" BLACK NIPPLE                          |   15.29  |   0 |   0 |   5 | 10082647109428 |  40 | 20082647109425 | 82647109421 |
| ZNB075      | 1-1/2" X 5" BLACK NIPPLE                              |   15.29  |   0 |   0 |   5 | 10082647111803 |  40 | 20082647111800 | 82647111806 |
| ZNB07512    | 1-1/2" X 5-1/2" BLACK NIPPLE                          |   17.55  |   0 |   0 |   5 | 10082647112350 |  40 | 20082647112357 | 82647112353 |
| ZNB076      | 1-1/2" X 6" BLACK NIPPLE                              |   17.55  |   0 |   0 |   5 | 10082647111445 |  40 | 20082647111442 | 82647111448 |
| ZNB077      | 1-1/2" X 7" BLACK NIPPLE                              |   27.88  |   0 |   0 |   5 | 10082647110349 |  30 | 20082647110346 | 82647110342 |
| ZNB078      | 1-1/2" X 8" BLACK NIPPLE                              |   27.88  |   0 |   0 |   5 | 10082647109862 |  30 | 20082647109869 | 82647109865 |
| ZNB079      | 1-1/2" X 9" BLACK NIPPLE                              |   32.61  |   0 |   0 |   5 | 10082647109145 |  20 | 20082647109142 | 82647109148 |
| ZNB0710     | 1-1/2" X 10" BLACK NIPPLE                             |   32.61  |   0 |   0 |   5 | 10082647112275 |  20 | 20082647112272 | 82647112278 |
| ZNB0711     | 1-1/2" X 11" BLACK NIPPLE                             |   37.58  |   0 |   0 |   5 | 10082647108544 |  20 | 20082647108541 | 82647108547 |
| ZNB0712     | 1-1/2" X 12" BLACK NIPPLE                             |   37.58  |   0 |   0 |   5 | 10082647109336 |  20 | 20082647109333 | 82647109339 |
| ZNB08CL     | 2" X CLOSE BLACK NIPPLE                               |   12.63  |   0 |   0 |   5 | 10082647110998 |  60 | 20082647110995 | 82647110991 |
| ZNB08212    | 2" X 2-1/2" BLACK NIPPLE                              |   14.49  |   0 |   0 |   5 | 10082647110646 |  40 | 20082647110643 | 82647110649 |
| ZNB083      | 2" X 3" BLACK NIPPLE                                  |   14.49  |   0 |   0 |   5 | 10082647109725 |  40 | 20082647109722 | 82647109728 |
| ZNB08312    | 2" X 3-1/2" BLACK NIPPLE                              |   17.52  |   0 |   0 |   5 | 10082647110110 |  40 | 20082647110117 | 82647110113 |
| ZNB084      | 2" X 4" BLACK NIPPLE                                  |   17.52  |   0 |   0 |   5 | 10082647108933 |  40 | 20082647108930 | 82647108936 |
| ZNB084TOE   | 2" X 4" BLACK NIPPLE TOE                              |   21.24  |   0 |   0 |   5 | 10082647200583 |  40 | 20082647200580 | 82647200586 |
| ZNB08412    | 2" X 4-1/2" BLACK NIPPLE                              |   20.19  |   0 |   0 |   5 | 10082647109572 |  30 | 20082647109579 | 82647109575 |
| ZNB085      | 2" X 5" BLACK NIPPLE                                  |   20.2   |   0 |   0 |   5 | 10082647111896 |  30 | 20082647111893 | 82647111899 |
| ZNB08512    | 2" X 5-1/2" BLACK NIPPLE                              |   23.63  |   0 |   0 |   5 | 10082647111933 |  30 | 20082647111930 | 82647111936 |
| ZNB086      | 2" X 6" BLACK NIPPLE                                  |   23.63  |   0 |   0 |   5 | 10082647111162 |  30 | 20082647111169 | 82647111165 |
| ZNB087      | 2" X 7" BLACK NIPPLE                                  |   39.62  |   0 |   0 |   5 | 10082647110448 |  20 | 20082647110445 | 82647110441 |
| ZNB088      | 2" X 8" BLACK NIPPLE                                  |   39.62  |   0 |   0 |   5 | 10082647109954 |  20 | 20082647109951 | 82647109957 |
| ZNB089      | 2" X 9" BLACK NIPPLE                                  |   46.61  |   0 |   0 |   5 | 10082647108650 |  20 | 20082647108657 | 82647108653 |
| ZNB0810     | 2" X 10" BLACK NIPPLE                                 |   46.61  |   0 |   0 |   5 | 10082647111865 |  20 | 20082647111862 | 82647111868 |
| ZNB0811     | 2" X 11" BLACK NIPPLE                                 |   53.63  |   0 |   0 |   5 | 10082647108735 |  20 | 20082647108732 | 82647108738 |
| ZNB0812     | 2" X 12" BLACK NIPPLE                                 |   53.64  |   0 |   0 |   5 | 10082647108902 |  20 | 20082647108909 | 82647108905 |
| ZNB09CL     | 2-1/2" X CLOSE BLACK NIPPLE                           |   39.49  |   0 |   0 |   5 | 10082647111131 |  35 | 20082647111138 | 82647111134 |
| ZNB093      | 2-1/2" X 3" BLACK NIPPLE                              |   40.52  |   0 |   0 |   5 | 10082647109824 |  35 | 20082647109821 | 82647109827 |
| ZNB09312    | 2-1/2" X 3-1/2" BLACK NIPPLE                          |   47.67  |   0 |   0 |   5 | 10082647110196 |  25 | 20082647110193 | 82647110199 |
| ZNB094      | 2-1/2" X 4" BLACK NIPPLE                              |   47.67  |   0 |   0 |   5 | 10082647109053 |  25 | 20082647109050 | 82647109056 |
| ZNB094TOE   | 2-1/2" X 4" BLACK NIPPLE TOE                          |   47.67  |   0 |   0 |   5 | 10082647109589 |  25 | 20082647109586 | 82647109582 |
| ZNB09412    | 2-1/2" X 4-1/2" BLACK NIPPLE                          |   52.34  |   0 |   0 |   5 | 10082647109138 |  25 | 20082647109135 | 82647109131 |
| ZNB095      | 2-1/2" X 5" BLACK NIPPLE                              |   52.34  |   0 |   0 |   5 | 10082647111698 |  20 | 20082647111695 | 82647111691 |
| ZNB09512    | 2-1/2" X 5-1/2" BLACK NIPPLE                          |   54.6   |   0 |   0 |   5 | 10082647112046 |  20 | 20082647112043 | 82647112049 |
| ZNB096      | 2-1/2" X 6" BLACK NIPPLE                              |   54.6   |   0 |   0 |   5 | 10082647111254 |  20 | 20082647111251 | 82647111257 |
| ZNB097      | 2-1/2" X 7" BLACK NIPPLE                              |   69.45  |   0 |   0 |   5 | 10082647110530 |  15 | 20082647110537 | 82647110533 |
| ZNB098      | 2-1/2" X 8" BLACK NIPPLE                              |   69.45  |   0 |   0 |   5 | 10082647109657 |  15 | 20082647109654 | 82647109650 |
| ZNB099      | 2-1/2" X 9" BLACK NIPPLE                              |   78.03  |   0 |   0 |   5 | 10082647108841 |  15 | 20082647108848 | 82647108844 |
| ZNB0910     | 2-1/2" X 10" BLACK NIPPLE                             |   78.03  |   0 |   0 |   5 | 10082647111940 |  10 | 20082647111947 | 82647111943 |
| ZNB0911     | 2-1/2" X 11" BLACK NIPPLE                             |   86.79  |   0 |   0 |   5 | 10082647112091 |  10 | 20082647112098 | 82647112094 |
| ZNB0912     | 2-1/2" X 12" BLACK NIPPLE                             |   86.79  |   0 |   0 |   5 | 10082647109022 |  10 | 20082647109029 | 82647109025 |
| ZNB10CL     | 3" X CLOSE BLACK NIPPLE                               |   46.89  |   0 |   0 |   5 | 10082647110707 |  25 | 20082647110704 | 82647110700 |
| ZNB103      | 3" X 3" BLACK NIPPLE                                  |   51.01  |   0 |   0 |   1 | 10082647109459 |  25 | 20082647109456 | 82647109452 |
| ZNB10312    | 3" X 3-1/2" BLACK NIPPLE                              |   60.41  |   0 |   0 |   5 | 10082647109947 |  20 | 20082647109944 | 82647109940 |
| ZNB104      | 3" X 4" BLACK NIPPLE                                  |   60.41  |   0 |   0 |   5 | 10082647108537 |  20 | 20082647108534 | 82647108530 |
| ZNB10412    | 3" X 4-1/2" BLACK NIPPLE                              |   66.63  |   0 |   0 |   5 | 10082647109275 |  15 | 20082647109272 | 82647109278 |
| ZNB105      | 3" X 5" BLACK NIPPLE                                  |   66.63  |   0 |   0 |   5 | 10082647111728 |  15 | 20082647111725 | 82647111721 |
| ZNB10512    | 3" X 5-1/2" BLACK NIPPLE                              |   72.38  |   0 |   0 |   5 | 10082647112206 |  15 | 20082647112203 | 82647112209 |
| ZNB106      | 3" X 6" BLACK NIPPLE                                  |   72.38  |   0 |   0 |   5 | 10082647110813 |  15 | 20082647110810 | 82647110816 |
| ZNB107      | 3" X 7" BLACK NIPPLE                                  |   97.69  |   0 |   0 |   5 | 10082647110257 |  10 | 20082647110254 | 82647110250 |
| ZNB108      | 3" X 8" BLACK NIPPLE                                  |   97.69  |   0 |   0 |   5 | 10082647109749 |  10 | 20082647109746 | 82647109742 |
| ZNB108TOE   | 3" X 8" BLACK NIPPLE TOE                              |   88.91  |   0 |   0 |   5 | 10082647185156 |  10 | 20082647185153 | 82647185159 |
| ZNB109      | 3" X 9" BLACK NIPPLE                                  |  109.72  |   0 |   0 |   5 | 10082647112152 |  10 | 20082647112159 | 82647112155 |
| ZNB1010     | 3" X 10" BLACK NIPPLE                                 |  109.72  |   0 |   0 |   5 | 10082647112084 |  10 | 20082647112081 | 82647112087 |
| ZNB1011     | 3" X 11" BLACK NIPPLE                                 |  121.74  |   0 |   0 |   1 | 10082647112244 |  10 | 20082647112241 | 82647112247 |
| ZNB1012     | 3" X 12" BLACK NIPPLE                                 |  121.74  |   0 |   0 |   1 | 10082647109183 |  10 | 20082647109180 | 82647109186 |
| ZNB11CL     | 4" X CLOSE BLACK NIPPLE                               |   70.66  |   0 |   0 |   5 | 10082647110783 |  15 | 20082647110780 | 82647110786 |
| ZNB114      | 4" X 4" BLACK NIPPLE                                  |   81.76  |   0 |   0 |   5 | 10082647108728 |  15 | 20082647108725 | 82647108721 |
| ZNB11412    | 4" X 4-1/2" BLACK NIPPLE                              |   93.37  |   0 |   0 |   5 | 10082647108834 |  10 | 20082647108831 | 82647108837 |
| ZNB115      | 4" X 5" BLACK NIPPLE                                  |   93.37  |   0 |   0 |   5 | 10082647111551 |  10 | 20082647111558 | 82647111554 |
| ZNB11512    | 4" X 5-1/2" BLACK NIPPLE                              |   99.82  |   0 |   0 |   5 | 10082647111827 |  10 | 20082647111824 | 82647111820 |
| ZNB116      | 4" X 6" BLACK NIPPLE                                  |   99.83  |   0 |   0 |   5 | 10082647110950 |  10 | 20082647110957 | 82647110953 |
| ZNB117      | 4" X 7" BLACK NIPPLE                                  |  115.24  |   0 |   0 |   5 | 10082647110332 |   5 | 20082647110339 | 82647110335 |
| ZNB118      | 4" X 8" BLACK NIPPLE                                  |  115.24  |   0 |   0 |   5 | 10082647109350 |   5 | 20082647109357 | 82647109353 |
| ZNB119      | 4" X 9" BLACK NIPPLE                                  |  131.24  |   0 |   0 |   5 | 10082647112299 |   5 | 20082647112296 | 82647112292 |
| ZNB1110     | 4" X 10" BLACK NIPPLE                                 |  131.25  |   0 |   0 |   5 | 10082647111766 |   5 | 20082647111763 | 82647111769 |
| ZNB1111     | 4" X 11" BLACK NIPPLE                                 |  153.82  |   0 |   0 |   5 | 10082647112343 |   5 | 20082647112340 | 82647112346 |
| ZNB1112     | 4" X 12" BLACK NIPPLE                                 |  153.82  |   0 |   0 |   5 | 10082647108698 |   5 | 20082647108695 | 82647108691 |
| ZNB12CL     | 5" X CLOSE BLACK NIPPLE                               |  191.59  |   0 |   0 |   1 | 10082647110493 |  10 | 20082647110490 | 82647110496 |
| ZNB124      | 5" X 4" BLACK NIPPLE                                  |  205.37  |   0 |   0 |   1 | 10082647112053 |   6 | 20082647112050 | 82647112056 |
| ZNB125      | 5" X 5" BLACK NIPPLE                                  |  220.56  |   0 |   0 |   1 | 10082647164977 |   4 | 20082647164974 | 82647164970 |
| ZNB12512    | 5" X 5-1/2" BLACK NIPPLE                              |  241.9   |   0 |   0 |   1 | 10082647164984 |   6 | 20082647164981 | 82647164987 |
| ZNB126      | 5" X 6" BLACK NIPPLE                                  |  246.45  |   0 |   0 |   1 | 10082647031392 |   4 | 20082647031399 | 82647031395 |
| ZNB128      | 5" X 8" BLACK NIPPLE                                  |  293.65  |   0 |   0 |   1 | 10082647109480 |   3 | 20082647109487 | 82647109483 |
| ZNB1210     | 5" X 10" BLACK NIPPLE                                 |  336.52  |   0 |   0 |   1 | 10082647111834 |   3 | 20082647111831 | 82647111837 |
| ZNB1212     | 5" X 12" BLACK NIPPLE                                 |  392.43  |   0 |   0 |   1 | 10082647108872 |   3 | 20082647108879 | 82647108875 |
| ZNB13CL     | 6" X CLOSE BLACK NIPPLE                               |  215.39  |   0 |   0 |   1 | 10082647110561 |   9 | 20082647110568 | 82647110564 |
| ZNB134      | 6" X 4" BLACK NIPPLE                                  |  226.36  |   0 |   0 |   1 | 10082647112220 |   6 | 20082647112227 | 82647112223 |
| ZNB135      | 6" X 5" BLACK NIPPLE                                  |  253.5   |   0 |   0 |   1 | 10082647043661 |   4 | 20082647043668 | 82647043664 |
| ZNB136      | 6" X 6" BLACK NIPPLE                                  |  281.13  |   0 |   0 |   1 | 10082647110684 |   4 | 20082647110681 | 82647110687 |
| ZNB137      | 6" X 7" BLACK NIPPLE                                  |  338.83  |   0 |   0 |   1 | 10082647110158 |   2 | 20082647110155 | 82647110151 |
| ZNB138      | 6" X 8" BLACK NIPPLE                                  |  338.83  |   0 |   0 |   1 | 10082647031644 |   2 | 20082647031641 | 82647031647 |
| ZNB139      | 6" X 9" BLACK NIPPLE                                  |  392.43  |   0 |   0 |   1 | 10082647112008 |   2 | 20082647112005 | 82647112001 |
| ZNB1310     | 6" X 10" BLACK NIPPLE                                 |  392.43  |   0 |   0 |   1 | 10082647111650 |   2 | 20082647111657 | 82647111653 |
| ZNB1312     | 6" X 12" BLACK NIPPLE                                 |  461.96  |   0 |   0 |   1 | 10082647112190 |   2 | 20082647112197 | 82647112193 |
| ZNB14CL     | 8" X CLOSE BLACK NIPPLE                               |  430.81  |   0 |   0 |   1 | 10082647162225 |   1 | 20082647162222 | 82647162228 |
| ZNB146      | 8" X 6" BLACK NIPPLE                                  |  581.07  |   0 |   0 |   1 | 10082647162232 |   1 | 20082647162239 | 82647162235 |
| ZNB148      | 8" X 8" BLACK NIPPLE                                  |  781.74  |   0 |   0 |   1 | 10082647162249 |   1 | 20082647162246 | 82647162242 |
| ZNB1410     | 8" X 10" BLACK NIPPLE                                 |  841.73  |   0 |   0 |   1 | 10082647162256 |   1 | 20082647162253 | 82647162259 |
| ZNB1412     | 8" X 12" BLACK NIPPLE                                 | 1002.06  |   0 |   0 |   1 | 10082647162263 |   1 | 20082647162260 | 82647162266 |
| ZNB114GT    | 4" X 4" BLACK NIPPLE GROOVE X        THREAD           |  102.78  |   0 |   0 |   1 | 10082647189437 |  15 | 20082647189434 | 82647189430 |
| ZNB031012   | 1/2" X 10-1/2" BLACK NIPPLE                           |   16.87  |   0 |   0 |  25 | 10082647005706 | 100 | 20082647005703 | 82647005709 |
| ZNB031112   | 1/2" X 11-1/2" BLACK NIPPLE                           |   16.87  |   0 |   0 |  25 | 10082647005713 | 200 | 20082647005710 | 82647005716 |
| ZNB032TOE   | 1/2" X 2" BLACK NIPPLE THREADED ONE  END              |    4.34  |   0 |   0 |  25 | 10082647049984 | 450 | 20082647049981 | 82647049987 |
| ZNB03612    | 1/2" X 6-1/2" BLACK NIPPLE                            |   11.82  |   0 |   0 |  25 | 10082647158242 | 150 | 20082647158249 | 82647158245 |
| ZNB03812    | 1/2" X 8-1/2" BLACK NIPPLE                            |   14.21  |   0 |   0 |  25 | 10082647005614 | 100 | 20082647005611 | 82647005617 |
| ZNB03912    | 1/2" X 9-1/2" BLACK NIPPLE                            |   14.21  |   0 |   0 |  25 | 10082647005683 | 100 | 20082647005680 | 82647005686 |
| ZNB04612    | 3/4" X 6-1/2" BLACK NIPPLE                            |   14.49  |   0 |   0 |  25 | 10082647056654 | 100 | 20082647056651 | 82647056657 |
| ZNB04712    | 3/4" X 7-1/2" BLACK NIPPLE                            |   14.49  |   0 |   0 |  25 | 10082647110981 | 100 | 20082647110988 | 82647110984 |
| ZNB049TOE   | 3/4" X 9" BLACK NIPPLE THD ONE END                    |   16.82  |   0 |   0 |   1 | 10082647109794 | 100 | 20082647109791 | 82647109797 |
| ZNB053TOE   | 1" X 3" BLACK NIPPLE THREADED ONE    END              |    8.76  |   0 |   0 |  25 | 10082647049793 | 150 | 20082647049790 | 82647049796 |
| ZNB05612    | 1" X 6-1/2" BLACK NIPPLE                              |   19.34  |   0 |   0 |  25 | 10082647112282 |  80 | 20082647112289 | 82647112285 |
| ZNB05812    | 1" X 8-1/2" BLACK NIPPLE                              |   22.62  |   0 |   0 |  25 | 10082647030388 |  60 | 20082647030385 | 82647030381 |
| ZNB05912    | 1" X 9-1/2" BLACK NIPPLE                              |   22.62  |   0 |   0 |  25 | 10082647109510 |  40 | 20082647109517 | 82647109513 |
| ZNB05912TOE | 1 X 9-1/2" BLACK NIPPLE TOE                           |   22.62  |   0 |   0 |   1 | 10082647004426 |  40 | 20082647004423 | 82647004429 |
| ZNB0610TOE  | 1-1/4" X 10" BLACK NIPPLE THD ONE    END              |   29.14  |   0 |   0 |   5 | 10082647108797 |  20 | 20082647108794 | 82647108790 |
| ZNB0612TOE  | 1-1/4" X 12" BLACK NIPPLE THD ONE    END              |   33.04  |   0 |   0 |   5 | 10082647109633 |  20 | 20082647109630 | 82647109636 |
| ZNB06612    | 1-1/4" X 6-1/2" BLACK NIPPLE                          |   24.31  |   0 |   0 |   5 | 10082647111681 |  30 | 20082647111688 | 82647111684 |
| ZNB072TOE   | 1-1/2 X 2 BLACK NIPPLE TOE PERC                       |    9.99  |   0 |   0 |  15 | 10082647110929 |  90 | 20082647110926 | 82647110922 |
| ZNB07334TOE | 1-1/2" X 3-3/4" BLACK NIPPLE         THREADED ONE END |   12.55  |   0 |   0 |   1 | 10082647158631 |  60 | 20082647158638 | 82647158634 |
| ZNB083TOE   | 2" X 3" BLACK NIPPLE THREAD ONE END                   |   14.49  |   0 |   0 |   5 | 10082647023212 |  40 | 20082647023219 | 82647023215 |
| ZNB08612    | 2" X 6-1/2" BLACK NIPPLE                              |   39.62  |   0 |   0 |   5 | 10082647111544 |  20 | 20082647111541 | 82647111547 |
| ZNB093TOE   | 2-1/2" X 3" BLACK NIPPLE THREAD ONE  END              |   40.52  |   0 |   0 |   5 | 10082647023298 |  40 | 20082647023295 | 82647023291 |
| ZNB094TOE   | 2-1/2" X 4" BLACK NIPPLE TOE                          |   47.67  |   0 |   0 |   5 | 10082647109589 |  25 | 20082647109586 | 82647109582 |
| ZNB09612    | 2-1/2" X 6-1/2" BLACK NIPPLE                          |   69.45  |   0 |   0 |   1 | 10082647111612 |  15 | 20082647111619 | 82647111615 |
| ZNB103TOE   | 3" X 3" BLACK NIPPLE THREAD ONE END                   |   51     |   0 |   0 |   5 | 10082647023243 |  25 | 20082647023240 | 82647023246 |
| ZNB114TOE   | 4" X 4" BLACK NIPPLE THREAD ONE END                   |   81.76  |   0 |   0 |   5 | 10082647023281 |  15 | 20082647023288 | 82647023284 |
| ZNB06412TOE | 1-1/4" X 4-1/2" BLACK NIPPLE         THREADED ONE END |   11.523 |   0 |   0 |   1 | 10082647178769 |   1 | 20082647178766 | 82647178762 |
| ZNB06712    | 1-1/4" X 7-1/2" BLACK NIPPLE                          |   24.31  |   0 |   0 |   5 | 10082647191164 |  30 | 20082647191161 | 82647191167 |
| ZNB06812    | 1-1/4" X 8-1/2" BLACK NIPPLE                          |   24.31  |   0 |   0 |   5 | 10082647191171 |  30 | 20082647191178 | 82647191174 |
| ZNB06112TOE | 1-1/4" X 1-1/2" BLACK NIPPLE THD     ONE END          |    7.67  |   0 |   0 |   5 | 10082647191188 |  90 | 20082647191185 | 82647191181 |



label: E=C*D
labeled_formulas: E=C*D
output: {"Arithmetic-Relationship": ["E=C*D"]}
source: $MMTU_HOME/resources/Relationship-finding/AR/table_61002___xlsx_9738477cdab9670d6105898e1e36da077742fba2.xlsx___line_336