-1234 | 3012 | -9436 | 7658 | 9476 | -7698 | 1274 | -3052 | -4321 | 2103 | -6349 | 8567 | 6749 | -8967 | 4721 | -2503 | |
1634 | -3412 | 9036 | -7258 | -9076 | 7298 | -1674 | 3452 | 4361 | -2143 | 6309 | -8527 | -6709 | 8927 | -4761 | 2543 | |
-9296 | 7478 | -1854 | 3672 | 1814 | -3632 | 9256 | -7438 | -6929 | 8747 | -4581 | 2763 | 4181 | -2363 | 6529 | -8347 | |
9696 | -7878 | 1454 | -3272 | -1414 | 3232 | -9656 | 7838 | 6969 | -8787 | 4541 | -2723 | -4141 | 2323 | -6569 | 8387 | |
-9456 | 7638 | -1214 | 3032 | 1254 | -3072 | 9496 | -7678 | -6549 | 8367 | -4121 | 2303 | 4521 | -2703 | 6949 | -8767 | |
9056 | -7238 | 1614 | -3432 | -1654 | 3472 | -9096 | 7278 | 6509 | -8327 | 4161 | -2343 | -4561 | 2743 | -6909 | 8727 | |
-1874 | 3652 | -9276 | 7498 | 9236 | -7458 | 1834 | -3612 | -4781 | 2563 | -6729 | 8947 | 6329 | -8547 | 4381 | -2163 | |
1474 | -3252 | 9676 | -7898 | -9636 | 7858 | -1434 | 3212 | 4741 | -2523 | 6769 | -8987 | -6369 | 8587 | -4341 | 2123 |
說明
(1) 組成數無重覆.左邊的8階由偶數組成,右邊的8階由奇數組成
(2) 左右8階相同位置的數構成鏡反數 ,如左 -1234 ,右 -4321
(3) 行,列,兩對角線, 等分的2階子陣 上下(或左右)對摺得出的8個數: K(1,2) = 0
K=1時, 幻差是0
K=2時, 幻平方差是0
如: -1234 k +3012 k -9436 k +7658 k +9476 k -7698 k +1274 k -3052 k
= -1234 k +1634 k -9296 k +9696 k -9456 k +9056 k -1874 k +1474 k
= -1234 k -3412 k -1854 k -3272 k +1254 k +3472 k +1834 k +3212 k
= 0
-1234 k |
3012 k |
+ |
1274 k |
-3052 k |
= 0 = |
-1234 k |
3012 k |
+ |
-1874 k |
3652 k |
1634 k |
-3412 k |
-1674 k |
3452 k |
1634 k |
-3412 k |
1474 k |
-3252 k |
(4) 完美型性質 K(1) = 0
如: -1234-3252-9276-3432+1254+3232+9256+3452
= 3012+1634+9676+7498-1654-3072-9656-7438
= -9436-3412-9296-7898+9236+3472+9496+7838
= 0