Imperially Commissioned Tables of the Essence of Mathematical Harmony

92061	92041	92021	92001	91981	91961	91941	91921
4671 133	4655 97	511 1	4616 124	4597 51	4578 58	4559 161	4541 19
92062	92042	92022	92002	91982	91962	91942	91922
281 240	67 212	522 222	271 141	108 1	121 1	512 1	161 5
92063	92043	92023	92003	91983	91963	91943	91923
333 3	189 1	318 1	405 1	163 130	196 335	319 1	139 23
92064	92044	92024	92004	91984	91964	91944	91924
616 137	471 1	441 1	404 214	314 1	464 272	216 1	124 132
92065	92045	92025	92005	91985	91965	91945	91925
1841 5	244 14	459 225	1840 5	1336 3	615 1	219 1	356 25
92066	92046	92026	92006	91986	91966	91946	91926
708 134	317 29	103 89	338 251	1456 6	1335 3	296 1	510 18
92067	92047	92027	92007	91987	91967	91947	91927
3089 3	119 83	5069 3	3066 1	1451 17	1467 37	5049 1	667 137
92068	92048	92028	92008	91988	91968	91948	91928
1460 3	8338 1	7669 1	1536 55	1508 61	3064 11	508 181	1149 1
92069	92049	92029	92009	91989	91969	91949	91929
4005 23	1509 1	1314 27	1231 21	543 27	116 1	714 13	30643 3
92070	92050	92030	92010	91990	91970	91950	91930
310 299	314 263	1840 6	316 30	1839 5	514 1	615 150	313 290
92071	92051	92031	92011	91991	91971	91951	91931
1315 1	131 1	3109 3	911 10	1373 66	1316 1	512 1	3667 23
92072	92052	92032	92012	91992	91972	91952	91932
21 1	255 36	19 18	4600 2	3833 3	283 3	832 1	564 163
92073	92053	92033	92013	91993	91973	91953	91933
1359 437	949 97	1451 1	3061 1	8363 5	1339 7	5436 7	611 41
92074	92054	92034	92014	91994	91974	91954	91934
4046 19	4602 2	511 13	5088 3	1143 7	1536 66	3998 23	3134 43
92075	92055	92035	92015	91995	91975	91955	91935
731 127	4815 1	365 233	385 239	6135 15	318 283	1335 53	405 1
92076	92056	92036	92016	91996	91976	91956	91936
3069 3	2488 37	531 173	166 177	844 109	1447 8	7448 97	5408 17
92077	92057	92037	92017	91997	91977	91957	91937
1131 1	3151 1	8379 1	551 161	1199 7	1139 43	9157 1	1433 88
92078	92058	92038	92018	91998	91978	91958	91938
1315 8	499 29	5814 1	623 139	344 269	4518 9	4597 2	4612 19
92079	92059	92039	92019	91999	91979	91959	91939
71 1	163 1	31 1	2483 331	19 18	183 143	66 151	161 1
92080	92060	92040	92020	92000	91980	91960	91940
18 8	1802 5	560 156	860 109	42000 230	126 5	484 190	1838 5

This table is part of the "Shuli Jingyun" (Essence of Mathematical Harmony), an 18th-century Chinese mathematical encyclopedia. The columns present data for indices 91921 through 92080. The primary numbers are listed in the large cells, while the smaller annotations below each index represent highly precise decimal components, likely for a table of common logarithms (base 10). These tables were essential for Qing dynasty astronomers and engineers to perform complex multiplications and divisions by turning them into simple additions and subtractions.