| 1 | -3 | -2 | 4 | -40 | 38 | 39 | -37 | -96 | 94 | 95 | -93 | 121 | -123 | -122 | 124 |
| 25 | -27 | -26 | 28 | -64 | 62 | 63 | -61 | -72 | 70 | 71 | -69 | 97 | -99 | -98 | 100 |
| 120 | -118 | -119 | 117 | -81 | 83 | 82 | -84 | -41 | 43 | 42 | -44 | 16 | -14 | -15 | 13 |
| 112 | -110 | -111 | 109 | -73 | 75 | 74 | -76 | -49 | 51 | 50 | -52 | 24 | -22 | -23 | 21 |
| -17 | 19 | 18 | -20 | 56 | -54 | -55 | 53 | 80 | -78 | -79 | 77 | -105 | 107 | 106 | -108 |
| -9 | 11 | 10 | -12 | 48 | -46 | -47 | 45 | 88 | -86 | -87 | 85 | -113 | 115 | 114 | -116 |
| -104 | 102 | 103 | -101 | 65 | -67 | -66 | 68 | 57 | -59 | -58 | 60 | -32 | 30 | 31 | -29 |
| -128 | 126 | 127 | -125 | 89 | -91 | -90 | 92 | 33 | -35 | -34 | 36 | -8 | 6 | 7 | -5 |
說明:
(1) 組成數: 正負的1~128
(2) 行,列,以及兩條矩陣的對角線k (1,2) =0
如:
1 k -3 k -2 k +4 k -40 k +38 k +39 k -37 k -96 k +94 k +95 k -93 k +121 k -123 k -122 k +124 k
=1 k -3 k -26 k +28 k -81 k +83 k +74 k -76 k +80 k -78 k -87 k +85 k -32 k +30 k +7 k -5 k
=1 k +25 k +120 k +112 k -17 k-9k -104 k -128 k
= 0
(3) 正負的1~64以兩半行的形態交替均佈於整個幻矩陣
如行1,2裏:
|
1 |
-3 |
-2 |
4 |
-40 |
38 |
39 |
-37 |
|
25 |
-27 |
-26 |
28 |
-64 |
62 |
63 |
-61 |
如行7,8:
|
58 |
-59 |
-58 |
60 |
-32 |
30 |
31 |
-29 |
|
33 |
-35 |
-34 |
36 |
-8 |
6 |
7 |
-5 |
(4) 特別指出:將負數看成正數時,幻矩陣不成立