Conclusion of the Imperial Edition of the Essence of Numbers and Principles original: 御製數理精蘊末. This indicates the final section of this specific mathematical compendium.

Imperial Edition of the Essence of Numbers and Principles

Volume 4: Logarithm Tables

This table provides the common logarithms (base 10) for numbers ranging from 30401 to 30500. The numbers are listed in the first column of each section, followed by the mantissa (the decimal part of the logarithm). Logarithms were essential for complex calculations in astronomy and surveying during the Qing dynasty, as they allowed multiplication to be performed through simple addition.

| Number | Logarithm (Part A) | Logarithm (Part B) |
| :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- |
| 30451 | 44836 | 01559 | 23 | | 30401 | 44831 | 14482 |
| 30452 | 44836 | 15821 | 13 | | 30402 | 44828 | 29021 |
| 30453 | 44836 | 30082 | 53 | | 30403 | 44828 | 29163 |
| 30454 | 44836 | 44343 | 43 | | 30404 | 44829 | 30723 |
| 30455 | 44836 | 58603 | 83 | | 30405 | 44829 | 45007 |
| 30456 | 44836 | 72863 | 23 | | 30406 | 44829 | 59291 |
| 30457 | 44836 | 87123 | 33 | | 30407 | 44829 | 73510 |
| 30458 | 44837 | 01382 | 33 | | 30408 | 44829 | 87856 |
| 30459 | 44837 | 15640 | 93 | | 30409 | 44830 | 02138 |
| 30460 | 44837 | 29899 | 03 | | 30410 | 44830 | 16402 |
| 30461 | 44837 | 44156 | 63 | | 30411 | 44830 | 30701 |
| 30462 | 44837 | 58413 | 83 | | 30412 | 44830 | 44981 |
| 30463 | 44837 | 72670 | 53 | | 30413 | 44830 | 59260 |
| 30464 | 44837 | 86926 | 73 | | 30414 | 44830 | 73541 |
| 30465 | 44838 | 01182 | 53 | | 30415 | 44830 | 87820 |
| 30466 | 44838 | 15433 | 73 | | 30416 | 44831 | 02099 |
| 30467 | 44838 | 29692 | 63 | | 30417 | 44831 | 16371 |
| 30468 | 44838 | 43946 | 93 | | 30418 | 44831 | 30655 |
| 30469 | 44838 | 58200 | 83 | | 30419 | 44831 | 44932 |
| 30470 | 44838 | 72454 | 23 | | 30420 | 44831 | 59209 |
| 30471 | 44838 | 86701 | 23 | | 30421 | 44831 | 73486 |
| 30472 | 44839 | 00959 | 73 | | 30422 | 44831 | 87762 |
| 30473 | 44839 | 15111 | 73 | | 30423 | 44832 | 02031 |
| 30474 | 44839 | 29463 | 23 | | 30424 | 44832 | 16312 |
| 30475 | 44839 | 43714 | 33 | | 30425 | 44832 | 30586 |
| 30476 | 44839 | 57964 | 93 | | 30426 | 44832 | 44860 |
| 30477 | 44839 | 72215 | 03 | | 30427 | 44832 | 59134 |
| 30478 | 44839 | 86464 | 73 | | 30428 | 44832 | 73407 |
| 30479 | 44840 | 00711 | 33 | | 30429 | 44832 | 87680 |
| 30480 | 44840 | 14962 | 73 | | 30430 | 44833 | 01952 |
| 30481 | 44840 | 29210 | 93 | | 30431 | 44833 | 16224 |
| 30482 | 44840 | 43458 | 73 | | 30432 | 44833 | 20495 |
| 30483 | 44840 | 57706 | 13 | | 30433 | 44833 | 34766 |
| 30484 | 44840 | 71954 | 03 | | 30434 | 44833 | 59036 |
| 30485 | 44840 | 86199 | 43 | | 30435 | 44833 | 73306 |
| 30486 | 44840 | 10044 | 53 | | 30436 | 44833 | 87515 |
| 30487 | 44841 | 14690 | 83 | | 30437 | 44834 | 01844 |
| 30488 | 44841 | 28935 | 83 | | 30438 | 44834 | 16112 |
| 30489 | 44841 | 43180 | 53 | | 30439 | 44834 | 30380 |
| 30490 | 44841 | 57424 | 43 | | 30440 | 44834 | 44648 |
| 30491 | 44841 | 71668 | 83 | | 30441 | 44834 | 58915 |
| 30492 | 44841 | 85911 | 11 | | 30442 | 44834 | 73181 |
| 30493 | 44842 | 00153 | 83 | | 30443 | 44834 | 87444 |
| 30494 | 44842 | 14399 | 03 | | 30444 | 44835 | 01713 |
| 30495 | 44842 | 28637 | 73 | | 30445 | 44835 | 15978 |
| 30496 | 44842 | 42879 | 03 | | 30446 | 44835 | 30243 |
| 30497 | 44842 | 57119 | 83 | | 30447 | 44835 | 44527 |
| 30498 | 44842 | 71360 | 10 | | 30448 | 44835 | 55871 |
| 30499 | 44842 | 85600 | 03 | | 30449 | 44835 | 73034 |
| 30500 | 44842 | 99839 | 33 | | 30450 | 44835 | 87297 |