Order-11 Magic Stars

 Introduction to Order-10 Cell designations & some of the features of Order-11 magic stars. Order-11A List A partial list of the 53,528 basic solutions with solution #, complement #, complement pair #, and point totals. Order-11B List A partial list of the 75,940 basic solutions for this pattern. Same information as for pattern A. Order-11C List A partial list of the 53,528 basic solutions for this pattern. Same information as for pattern A. Order-11D List A partial list of the 75,940 basic solutions for this pattern. Same information as for pattern A. Related pages on this site Use the browser 'back' button to return here if you wish. Definitions Review magic star definitions and general features. Examples One example of each of 16 patterns, Orders 5 to 11. Examples-2 One example of each of 14 patterns, Orders 12,13,14.

Introduction to Order-10

Order-11 has 4 patterns and because 11 is a prime number, all the patterns are continuous.

 Number of basic solutions and search time Pattern A   53528 solutions, required approximately 62 DAYS. running time Pattern B   75940 solutions       "                  "            33.5 hrs. running time Pattern C   53528 solutions       "                  "              5.3 hrs. running time         Pattern D   75940 solutions       "                  "            20.2 hrs. running timeAbove are the running times on a 200 Mhz Pentium Pro with 32 Megs. of  RAM. Note the different times for 11A and 11C. Programs were written in QuickBasic 4.5 and compiled. Each solution contains the consecutive series of integers from 1 to 22. The sum of this series is 253, there are 6 lines with each cell appearing in 2 lines, so the magic constant (S) is (2 x 253)/11 = 46.

Order-11A and 11C both contain the same number of solutions even though the point names are different (as does order-8). 11B and 11D both have the same number of solutions as expected, because the point names are the same.

Value of cell 'A' changes at the same solution number in 11B and 11D (as does order-10 A & C and 7 A & B). All these have the same point names, but so does 8 A & B and 9 B & C, which do not have this feature.

 Some complement pairs: The first solution First with A = 2 The last solution Solution numbers Pair # Solution numbers Pair # Solution numbers Pair # A 1 115 1 27724 532 281 53528 25435 19998 B 1 126 1 41733 41865 31143 75940 32158 24052 C 1 17 1 26306 98 55 53528 20998 16874 D 1 106 1 41733 41950 31143 75940 31123 24738 In each pair, the first solution is the one that meets the condition

Some solutions shown in diagram form.
The four solutions shown here are the first one in each case with cell A = 3.
.
 The first solutions for cell A equal to 2 to 12 A=2 A=3 A=4 A=5 A=6 A=7 A=8 A=9 A=10 A=11 A=12 A 27224 39471 45778 49098 50985 52002 52654 53029 53242 53365 53445 B 41733 57547 65842 69882 72569 74077 74821 75284 75571 75743 75848 C 26306 38652 44915 48437 50552 51763 52554 52982 53193 53325 53445 D 41733 57547 65842 69882 72569 74077 74821 75284 75571 75743 75848

Note that lines B and D (above) are the same. Point names are also the same.

Order-11A Partial List of Basic Solutions

```Solut. | -------------Order11A ----- Cell Values -----upper case signifies points ----------| Comple-  Pair  Point
#  A   b   c   D   e   f   G   h   i   J   k   l   M   n   o   P   q   R   S   T   U   V   ment      #   Total
1  1   2  21  22   3   4  17  10  12   7  11  13  15   9   6  16  20   8  14  18   5  19    115      1   142
2  1   2  21  22   3   4  17  11  10   8  12  19   7   5  14  20  15   9  13  18   6  16    409      2   137
3  1   2  21  22   3   4  17  11  10   8  12  19   7   5  14  20  18   6  16  15   9  13    253      3   134
4  1   2  21  22   3   4  17  15   9   5   7  16  18   6  12  10  20  14   8  19  11  13     48      4   138
5  1   2  21  22   3   5  16   7  11  12   6  15  13   4  10  19  17   8  14  20   9  18    324      5   152
6  1   2  21  22   3   5  16   7  11  12   6  18  10   4  13  19  17   8  14  20   9  15    302      6   146
7  1   2  21  22   3   5  16   9   7  14   8  18   6   4  17  19  15  10  12  20  11  13    396      7   144
8  1   2  21  22   3   5  16  14   4  12   7   8  19   6  10  11  20  13   9  18  17  15     75      8   153
9  1   2  21  22   3   5  16  20   4   6  19   8  13  11  10  12  17  15   7  14   9  18    316      9   133
10  1   2  21  22   3   5  16  20   4   6  19   8  13  12  10  11  18  15   7  14   9  17    275     10   131
769  1   2  22  21  15   7   3  18  12  13  11  14   8  10   9  19  20   5   4  17   6  16  27270    518   113
770  1   3  20  22   2   4  18   7  10  11   5  13  17   6   9  14  21   8  16  19  12  15    872    519   153
1616  1   3  22  20  15   9   2  19  13  12   8  10  16   7   6  17  21   5   4  14  11  18  39518   1104   120
1617  1   4  19  22   2   5  17   6   3  20   9   7  10   8  12  16  15  11  14  21  13  18   1888   1105   163
3044  1   4  22  19  16   9   2  17  14  13  11  12  10   8   7  21  18   3   5  15   6  20  29982   2354   115
3045  1   5  18  22   2   3  19   8  10   9  11  20   6   7  17  16  13  12  14  21   4  15   3369   2355   139
4635  1   5  22  18  16   8   4  17  15  10   9  20   7  12  13  14  21   6   2  19   3  11  47436   3713    95
4636  1   6  17  22   2   3  19   4  12  11   8  14  13   7  10  16  15   9  18  21   5  20   4815   3714   155
6490  1   6  22  17  16  11   2  10  13  21   4  14   7   8  12  19  18   3   5  20   9  15  34923   5342   119
6491  1   7  16  22   2   3  19   4   8  15  12  13   6  17  14   9  20  10  18  21   5  11   6535   5343   137
8558  1   7  22  16  17  10   3  21   4  18   9   8  11   6  14  15  19   5   2  13  20  12  45481   7118   116
8559  1   8  15  22   2   3  19   5   4  18   7  10  11  13  16   6  20  12  17  21  14   9   8593   7119   150
10617  1   8  22  15  19   5   7  21  12   6  13  18   9  10  11  16  20   2   3  17   4  14  51236   8819    94
10618  1   9  14  22   2   3  19   8   6  13  21   7   5  18  12  11  16  10  20  15   4  17  10781   8820   137
12967  1   9  22  14  19   8   5  20  11  10  12  18   6   4  15  21  13   3   2  16   7  17  33299  10705   102
12968  1  10  13  22   2   3  19   7   8  12   5  14  15   9  18   4  21  11  20  16  17   6  12979  10706   143
15093  1  10  22  13  19   6   8  20   4  14  15   5  12  11   7  16  17   3   2  18   9  21  36862  12358   117
15094  1  11  12  22   2   3  19  16   6   5  21  13   7  15  20   4  17  14  18   9  10   8  15126  12359   117
17048  1  11  22  12  19  10   5  21   6  14   9  16   7   4  20  15  17   3   2  13  18   8  50474  13916    98
17049  1  12  11  22   2   5  17  13  10   6   7  15  18   3  21   4  16  14  19   9  20   8  17081  13917   138
18651  1  12  22  11  19  10   6  14   9  17   4   7  18   5   8  15  16   3   2  20  13  21  38260  15146   127
18652  1  13  10  22   2   5  17  12  11   6   7  15  18   4  21   3  16  14  20   9  19   8  18673  15147   137
20290  1  13  22  10  19  12   5  17   9  15   7  18   6   8  21  11  20   2   3  14  16   4  52453  16407    87
20291  1  14   9  22   4   2  18   5   6  17  10  12   7  15  21   3  16  13  20  19  11   8  20315  16408   139
21772  1  14  22   9  19  11   7  17   6  16   4   8  18   5  13  10  20   2   3  15  21  12  38540  17484   114
21773  1  15   8  22   4   3  17  12  11   6   7  14  19   5  20   2  16  13  21  10  18   9  21778  17485   138
23543  1  15  22   8  19  14   5  13  16  12   4  20  10  11  18   7  21   3   2  17   9   6  51861  18707    80
23544  1  16   7  22   8   5  11  14  17   4  20   9  13  19  12   2  18  10  21   6   3  15  22770  18107   108
24729  1  16  22   7  19  12   8  18   9  11  13  17   5  15  20   6  21   3   2  14  10   4  53174  19524    71
24730  1  17   6  22  10   3  11   8  15  12  13  16   5  19  20   2  18   9  21  14   4   7  19832  16003   108
25781  1  17  22   6  19  16   5  14  18   9   4  12  21   8  10   7  20   2   3  13  11  15  36208  20289    93
25782  1  18   5  22  14   3   7   9  19  11   4  16  15  12  17   2  20   6  21  13  10   8  12364  10150   116
26569  1  18  22   5  19  16   6  15  17   8   7  11  20  12  10   4  21   3   2  13   9  14  44535  20815    85
26570  1  19   6  20  17   4   5  14  16  11   8   9  18  12  13   3  22   2  21   7  15  10  30886  20816   113
27068  1  19  22   4  16  18   8   7  10  21   9   3  13  17  11   5  20   2   6  15  12  14  37377  21176   101
27069  1  20   6  19  15   4   8   9  13  16   5   7  18  12  14   2  21   3  22  11  17  10   9136   7509   127
27223  1  20  19   6  18  17   5  10  22   9   8  15  14  16  13   3  21   2   7  12   4  11  53223  21259    74
27224  2   1  21  22   3   4  17   8   5  16  10  14   6   9  13  18  20   7  15  19  12  11    532    281   145
39470  2  19  17   8  15   9  14   5  16  11   1  21  13  12  18   3  20   4  10  22   7   6   8332   6892   100
39471  3   1  20  22   2   5  17  12   9   8   7  10  21   4   6  15  19  11  13  16  14  18   1411    899   158
45777  3  18  15  10   6  16  14   2   9  21  17   1   7  22  13   4  19   5  20   8  12  11  31510  22969   115
45778  4   1  19  22   2   5  17  20   3   6  21   9  10   7  11  18  15  12  13   8  14  16   2969   2279   140
49097  4  17  14  11   7  16  12   2  19  13  10   1  22  15   3   6  18   5  20   8   9  21   9970   8236   131
49098  5   1  18  22   2   3  19  11   7   9   6  21  10   4  17  15  16  14  12  20  13   8   4503   3581   147
50984  5  16  10  15   8   4  19   3   2  22  14   1   9  20  11   6  17   7  21  18  12  13  12775  10513   147
50985  6   1  17  22   2   3  19   4  10  13   7  12  14  11   5  16  20   9  18  21   8  15   6330   5182   161
52000  6  14  11  15  10   5  16   2   9  19   4   1  22  13   3   8  17   7  18  21  12  20  14557  11898   164
52001  6  15  12  13   9   4  20   3   1  22   5   2  17  11  10   8  16   7  18  21  19  14  26469  20722   165
52002  7   1  16  22   2   3  19  12   4  11   6   9  20   5   8  13  14  18  10  21  15  17   8478   7038   173
52653  7  13  10  16   5   3  22   2   4  18  12   1  15  17   6   8  14  11  20  21   9  19  27193  21244   166
52654  8   1  15  22   2   3  19   5   4  18   7  10  11   6   9  20  13  12  17  21  14  16  10565   8767   178
53028  8  10  16  12   2  11  21   1   7  17   4   3  22   5   6  13  14   9  19  15  20  18  26221  20541   174
53029  9   1  14  22   2   5  17  10   4  15   3   7  21   6   8  11  16  18  12  19  20  13  12866  10604   177
53241  9   8  19  10   1  15  20   3   5  18   4   2  22   6   7  11  13  14  12  16  21  17  25225  19842   170
53242  10  1  13  22   2   3  19   8   5  14   9   6  17   7   4  18  11  16  15  20  12  21  15062  12327   184
53364  10  9   8  19   6   3  18   2   4  22   7   1  16  13   5  12  14  11  21  20  15  17  24680  19475   181
53365  11  1  12  22   2   3  19   6   5  16   7  10  13   4   8  21   9  15  17  20  14  18  17009  13877   186
53444  11  8  14  13   3   9  21   5   2  18   7   1  20   4   6  16  10  12  17  15  22  19  24632  19431   184
53445  12  2  10  22   1   3  20   4   5  17   7   9  13   6   8  19  11  14  21  18  16  15  20028  16160   187
53518  12  7   9  18   2   6  20   1  11  14   3   8  21   4   5  16  10  13  22  17  15  19  25739  20247   187
53519  12  7   9  18   4   3  21   5   1  19  10   2  15  11   6  14   8  17  16  22  13  20  26425  20683   187
53520  12  7   9  18   6   3  19   5   2  20   1   8  17   4  11  14  10  15  16  22  21  13  26422  20681   187
53521  12  7   9  18   8   3  17   5   4  20   6   1  19  10   2  15  11  13  16  22  14  21  26406  20671   187
53522  12  7   9  18  10   2  16   8   3  19   1   5  21   4   6  15  11  13  14  22  20  17  23323  18510   187
53523  12  7  10  17   2   5  22   1   3  20   4   6  16   8   9  13  11  15  19  21  18  14  26477  20729   187
53524  12  8   6  20   4   1  21   7   3  15  10   2  19   9   5  13  11  14  22  16  17  18  26852  20999   187
53525  12  8   6  20  10   1  15   7   3  21   4   2  19   9   5  13  11  14  16  22  17  18  24703  19498   187
53526  12  8   7  19  10   1  16   9   3  18   2   4  22   5   6  13  11  14  15  21  20  17  26229  20548   187
53527  12  9   5  20   7   2  17   4   3  22   8   1  15  11   6  14  10  13  21  19  16  18  23484  18648   187
53528  12  9   7  18   5   8  15   1  11  19   2   3  22   6   4  14  10  13  21  16  17  20  25435  19998   187```

Order-11B Partial List of Basic Solutions

```Solut. | -------------Order11B ----- Cell Values -----upper case signifies points ----------| Comple-  Pair  Point
#  A   b   c   D   e   f   G   h   i   J   k   L   m   N   o   P   q   R   s   T   U   V   ment      #   Total
1   1   2  21  22   3   5  16   7   6  17   9  18  10  15  13  11  14  12  20   4   8  19    126      1  143
2   1   2  21  22   3   5  16   9   6  15  11  18  12  13   7  17   8  10  20   4  14  19    139      2  149
3   1   2  21  22   3   5  16   9   6  15  11  18  12  13   7  17  14   4  20  10   8  19    132      3  143
4   1   2  21  22   3   5  16   9   6  15  11  18  12  13  14  10  17   8  19   7   4  20    240      4  134
5   1   2  21  22   3   5  16   9   6  15  11  18  13  12   8  17  14   4  19  10   7  20    243      5  142
6   1   2  21  22   3   5  16   9   6  15  17  12  13  18   8  11  14   4  19  10   7  20    242      6  136
7   1   2  21  22   3   5  16  13   6  11  15  18   8  17   9   7  10  14  20   4  12  19    137      7  141
8   1   2  21  22   3   5  16  15   6   9  17  18  12  13   7  11   8  10  20   4  14  19    138      8  137
9   1   2  21  22   3   5  16  15   6   9  17  18  12  13   7  11  14   4  20  10   8  19    131      9  131
10   1   2  21  22   3   5  16  15   6   9  17  18  13  12   8  11  14   4  19  10   7  20    241     10  130
620   1   2  21  22  15   6   3  19   7  17  14  13   8  10  12   5  16  11  18   9   4  20    304    229  115
621   1   3  20  22   2   6  16   7   8  15  11  17  13  14   4  21   9   5  18  10  12  19    899    311  152
1402   1   3  20  22  16   6   2  21   8  15  17  11  14   5  13   7  12  10  18   4   9  19    889    531  105
1403   1   4  19  22   2   5  17  11   8  10  12  20   9  15   6  14   7  13  21   3  18  16   1447    702  149
3577   1   4  21  20  17   7   2  22   8  14  15  13  11   5   3  16   9   6  19  10  12  18  57910   2561  117
3578   1   5  18  22   2   3  19  11   7   9  12  20  10  14   8  13   6  15  17   4  16  21   3856   2562  154
5458   1   5  21  19  18   7   2  22   8  14  15  12  13   3  10  11  16   4  20   9   6  17  66307   4102   98
5459   1   6  17  22   2   3  19   7   8  12  13  15   9  20  14   5  18  10  16  11   4  21   5714   4103  140
8129   1   6  21  18  19   7   2  20   8  16  14  10   5  12   3  11   4  17  15   9  13  22  30213   6399  131
8130   1   7  16  22   2   3  19   4   9  14   5  20  11  13  12  17  18   6  21   8  10  15   8155   6400  145
10886   1   7  21  17  19   8   2  20   9  15  18   6  16   5  10  11  13   4  14  12   3  22  17118   8698   98
10887   1   8  15  22   2   3  19   4  10  13  14  11  12  21  16   5  20   7  18   9   6  17  10982   8699  131
13757   1   8  21  16  20   3   7  18   4  17  12   9   6  11   2  15  14   5  22  13  10  19  68236  11079  123
13758   1   9  14  22   2   3  19   4  11  12   5  20   6  18   8  16  15  10  13  17   7  21  13905  11080  163
16337   1   9  21  15  22   7   2  16   8  20  12   5  13   6  10  14  17   3  19  11   4  18  62588  13106   99
16338   1  10  13  22   2   3  19   6  12   9  11  16   7  21   5  14  17   4  15  20   8  18  16494  13107  152
19351   1  10  21  14  22   8   2  18   9  17   4  15   6   3  13  12  11  19  16   5   7  20  63029  15366  115
19352   1  11  12  22   2   3  19   4  13  10   9  16   7  21   6  15   5  17  14   8  20  18  19464  15367  167
22159   1  11  21  13  22   9   2  19  10  15   8  12   5   7  16   4  14  20  18   3   6  17  59127  17399  100
22160   1  12  11  22   2   3  19   4  14   9   8  17   6  21   5  16  15   7  13  20  10  18  22319  17400  160
24937   1  12  20  13  22   9   2  16  11  17   7  10   8   6   3  21   4  14  19   5  18  15  46357  19345  122
24938   1  13  10  22   2   3  19   4  15   8   5  20   7  17  14  11  18  12  21   6  16   9  24951  19346  141
27581   1  13  21  11  22   9   4  20  10  12  19   2  15   7  14   5  16   6  17   8   3  18  71105  21040   77
27582   1  14   9  22   2   3  19   5  16   6  18   8  15  21   7  13  11   4  17  10  20  12  27625  21041  136
30117   1  14  21  10  22  11   3  13  12  18   6   8   7   9  19   5  15  20  17   2   4  16  59541  22723   96
30118   1  15   8  22   2   3  19   4  17   6   5  20  14  10  11  21  13   7  16   9  18  12  30160  22724  145
32581   1  15  21   9  22  13   2  10  14  20   6   5   8  11  18   7  17  16  19   3   4  12  61356  24337   90
32582   1  16   7  22   2   3  19   5  18   4  11  15   8  21  14   6  20   9  17  12  13  10  32599  24338  132
34998   1  16  21   8  22  14   2  12  15  17   7   6  13   5  18  11  19   9  20   4   3  10  73548  26018   76
34999   1  17   6  22   5   3  16   9  19   2   7  20  11  10  15  12  14  13  18   4  21   8  35000  26019  129
37079   1  17  21   7  22  15   2  19  16   9  14   6   5  13  10   4   8  20  18   3  12  11  59135  27391   88
37080   1  18   5  22   7   2  15   3  19   9   8  11  12  16  14  13  21   4  20  10  17   6  34951  25977  124
38759   1  18  21   6  22  16   2  14  17  13  11   4   5  15  10   7  19   9  20  12   3   8  74847  28581   80
38760   1  19   8  18   4   2  22   3  16   5  10  12  13  17  11  15  14   7  20   6  21   9  40044  28582  133
40039   1  19  21   5  22  17   2  16  18  10  14   3   6  15   4  11  13   8  20  12   9   7  74836  29562   83
40040   1  20   7  18   8   4  16   2  19   9   6  11  10  17  14  13  15  12  21   3  22   5  14637  11680  127
41103   1  20  21   4  19  17   6  15  18   7  16   3  14  10  12   9  13   8  22   2  11   5  75904  30513   66
41104   1  21   8  16   7   4  19   6  18   3   9  13  12  14  11  15  20   2  22  10  17   5  69655  30514  115
41732   1  21  20   4  19  16   7  15  18   6  17   2  13  12   9  10  11   8  22   3  14   5  75490  31142   72
41733   2   1  22  21   3   6  16   7   5  18  15  12  14  17   9  13  10   8  20   4  11  19  41865  31143  141
57546   2  21  20   3  19  14  10  17  15   4  13   8   1  18   6   5  16  12  22  11   9   7  70842  36815   89
57547   3   1  22  20   2   8  16   9   6  15  17  13  10  21  12   4  14  11  18   7   5  19  50233  34059  134
65841   3  21  18   4  20  12  10   5  14  17   2   6   1  19   9  13  16  15  22   8  11   7  66785  37854  113
65842   4   1  20  21   2   6  17   8   5  16  14  15   7  22   3  13   9  10  18  11  12  19  40422  29883  160
69881   4  21  16   5  20   3  18   7   6  15   2   8   1  17   9  13  19  12  22  11  10  14  72461  37956  127
69882   5   1  19  21   2   8  15   4   7  20  12  13   9  22   3  17   6  11  16  10  14  18  40878  30290  166
72568   5  21  14   6  16   7  17   3  11  15   1   9   2  19   4  20  13  12  22  10  18   8  62369  37370  139
72569   6   1  18  21   2   4  19   8   3  16  12  17   7  20   5  13  11  10  15  14   9  22  24387  18945  167
74076   6  20   9  11  15   2  18   5  10  13   1  12   3  16   4  21  17   7  22  14  19   8  45443  32433  145
74077   7   1  17  21   2  13  10   5  12  19   6  20   8  16   3  22   4  14   9  15  11  18  38529  28407  173
74820   7  20  11   8  15   1  22   5   6  13   3  10   2  19   4  18  16   9  21  14  17  12  38091  28080  149
74821   8   1  16  21   2   4  19   6   3  18  10  17   5  22   7  11  13  12  15  14   9  20  33691  25073  171
75283   8  16   7  15   6   3  22   4  11   9   1  20   2  18   5  19  12  14  17  13  21  10  39143  28877  169
75284   9   1  15  21   2  13  10   5  12  19   6  20   8  16   3  22   4  14   7  17  11  18  38530  28408  177
75570   9  13   7  17   6   1  22   5   8  11   4  18   3  19   2  20  10  12  15  16  21  14  37763  27849  179
75571  10   1  14  21   3   6  16   8   5  17   9  19   2  22   4  12   7  18  11  15  13  20  39293  28981  183
75742  10  12   8  16   9   1  20   2   6  18   5  11   4  22   3  19   7  15  13  14  21  17  29177  22118  183
75743  11   1  13  21   3  10  12   8   9  17   6  22   5  16   4  18   2  20   7  14  15  19  38508  28389  185
75847  11  10   7  18   6   3  19   5   8  14   1  21   2  17   4  20   9  16  15  13  22  12  39447  29103  183
75848  12   2  10  22   1   3  20   5   4  17   6  21   8  16   7  18   9  13  11  14  15  19  27305  20864  187
75931  12   8   9  17  10   5  14   6   7  19   4  15   1  20   2  18   3  21  11  13  22  16  38455  28338  187
75932  12   8  10  16   6   3  21   7   4  14   9  15   5  20   1  18   2  17  11  13  22  19  41088  30498  187
75933  12   9   4  21   7   3  15   5  10  16   1  20   2  17   6  18   8  19  11  14  22  13  36413  26931  187
75934  12   9   4  21  11   1  13   5   8  20   2  15   3  17   6  18   7  19  10  14  22  16  36385  26904  187
75935  12   9  10  15   7   2  22   8   3  13   5  19   4  16   1  21   6  14  11  17  18  20  32227  24100  187
75936  12   9  10  15   7   5  19   1   6  20   3  14   4  21   2  22   8  13  11  18  16  17  32097  24004  187
75937  12   9  10  15   8   1  22   4   2  18   6  13   5  20   3  19   7  14  11  16  17  21  40000  29523  187
75938  12   9  10  15   8   1  22   6   2  16   7  14   5  19   3  18   4  17  11  13  20  21  36919  27281  187
75939  12   9  10  15   8   6  17   4   7  18   5  14   3  21   1  20   2  19  11  13  22  16  36912  27275  187
75940  12  10   7  17   9   1  19   8   5  14   2  20   4  13   3  22   6  16  11  15  21  18  32158  24052  187  ```

Order-11C Partial List of Basic Solutions

```Solut. | -------------Order11C ----- Cell Values -----upper case signifies points ----------| Comple-  Pair  Point
#  A   b   c   D   e   f   G   h   I   j   K   l   M   n   O   p   Q   r   S   t   U   V   ment      #   Total
1   1   2  21  22   3   9  12  13  19   6  18   7   8  17  15  10  14   4  11  20   5  16     17      1  141
2   1   2  21  22   3   9  12  13  19   7  17   6  10  18  11  14  15   5   8  20   4  16     16      2  135
3   1   2  21  22   3   9  12  15  17  19   7  14  10  11   6   8  18   4  13  20   5  16     19      3  127
4   1   2  21  22   3  10  11  16  17   8  18   7   5  19  14  13  12   6   9  20   4  15     14      4  128
5   1   2  21  22   3  10  11  20  13  18  12   8   6  15   7  14  17   5   9  19   4  16     44      5  118
6   1   2  21  22   3  11  10  16  18  12  13   8   9  19   6  17  15   7   5  20   4  14      9      6  117
7   1   2  21  22   3  11  10  18  16  12  15   5   8  17   9  13  19   4   6  20   7  14     11      7  127
8   1   2  21  22   3  12   9  15  20   7  16  11   4  18  17   8  10   5  13  19   6  14     41      8  132
9   1   2  21  22   3  12   9  16  19   6  18   4   8  15  17  11  14   7  10  20   5  13      6      6  136
10   1   2  21  22   3  12   9  18  17  16  10   5  13  11   6  15  20   7   8  19   4  14     40      9  124
153   1   2  22  21   9  10   6  20  18  15   4  14   8  11  12   7  13   5  17  19   3  16  26340    110  119
154   1   3  20  22   2   7  15   9  19  11  14  10  13  16   6  12  18   4   8  21   5  17    178    111  138
375   1   3  22  20  13   9   4  21  18   7   8   6  11  12  16  10  14   5  15  19   2  17  38701    290  126
376   1   4  19  22   2   8  14  10  18  11  15  12   9  21   5  13  16   3   6  20   7  17    433    291  130
759   1   4  22  19  15   9   3  21  18   5   8   7  10  17  14  13  12   6  11  20   2  16  44938    612  114
760   1   5  18  22   2   7  15   6  20   8  16  14  10  19   9  12  11   3  13  17   4  21    861    613  142
1322   1   5  22  18  16  10   2  20  19   3   8   7  11  15  17   9  13   6  12  21   4  14  48121   1101  119
1323   1   6  17  22   2   4  18   7  15  10  19   8  12  11  13   9  16   5  14  20   3  21   1420   1102  154
2366   1   6  22  17  16  11   2  20  18   3   9   7  10  21  12  14  13   4   8  19   5  15  50347   2029  110
2367   1   7  16  22   2   4  18   8  13  12  19  10   9  11  14   5  17   3  15  20   6  21   2426   2030  155
3389   1   7  22  16  18   8   4  21  14  11   3  12  10  19   6  15  13   5   9  20   2  17  51600   2950   95
3390   1   8  15  22   2   5  17   7  14  18  12  16  11  13   4   6  20   3  10  21   9  19   3435   2951  139
4739   1   8  22  15  19  10   2  20  16   6   5  14   7  21  12  11   9   3  13  18   4  17  51486   4173  101
4740   1   9  14  22   2   5  17   4  16  18  10  20  12  13   3   8  15   7  11  21   6  19   4760   4174  132
6111   1   9  22  14  20   7   5  19  13  11   2  10  15   8  12   6  18   4  16  21   3  17  50032   5401  116
6112   1  10  13  22   2   4  18   7  11  14  19   8  12  15   5  17  16   9   6  20   3  21   6189   5402  134
7628   1  10  22  13  21   9   3  18  15   6   4  16   8  20  12  11   7   5  14  19   2  17  51545   6734   96
7629   1  11  12  22   2   4  18   7  10  19  15  16   8   6  13   3  14   9  17  21   5  20   7667   6735  143
9326   1  11  22  12  21  10   3  19  13   5   7  14   6  20  15   9   8   2  16  17   4  18  49946   8204  103
9327   1  12  11  22   2   4  18   3  13  15  16  19   8  17   6   7  14   5  10  20   9  21   9420   8205  138
10989   1  12  22  11  21  10   4  17  13   3   9  14   6  18  19   8   5   7  16  20   2  15  47662   9505  101
10990   1  13  10  22   2   6  16   9   8  17  19   7  11  14   4  20  15  12   5  18   3  21  11095   9506  125
12785   1  13  22  10  21  11   4  17  12   6   7   3  19   5  16   9  18   8  15  20   2  14  45677  10956  118
12786   1  14   9  22   2   5  17   4  11  13  20  15   7   8  18   3  10  12  16  21   6  19  12817  10957  147
14859   1  14  22   9  21  12   4  18  10  13   2  20   6  19   8  11   7   5  15  17   3  16  52306  12511   81
14860   1  15   8  22   2   5  17   4  10  18  16  14  12   7   9   3  20   6  13  19  11  21  14932  12512  152
17125   1  15  22   8  21  14   3  19   9  12   4  18   5  13  16   2  10   6  17  20   7  11  50800  14190   91
17126   1  16   7  22   2   5  17   3  10  14  20  15   8  18   6  12  13  11   4  21   9  19  17163  14191  129
19197   1  16  22   7  21  15   3  19   8   5  12   4  11  20  10  14  18   2   6  17   9  13  50502  15642   98
19198   1  17   6  22   2   7  15  10   4  19  21  12   3   8  16   5  13  11  14  18   9  20  19251  15643  138
21080   1  17  22   6  21  16   3  19   7   8  10  12   5  15  18   2  14   4  13  20  11   9  50189  16956   97
21081   1  18   5  22   2   7  15   3  10  14  20  19   4  16  12   6   9  13   8  21  11   1  21100  16957  129
22914   1  18  22   5  21  17   3  15  10   8   7   4  20   6  12  14  16  13  11  19   2   9  40400  18183   96
22915   1  19   4  22   2  14   8  10   9  18  17   7  12   3  13   5  21  16   6  20  15  11  22919  18184  135
24465   1  19  22   4  21  18   3  15   9   2  14   6  11  16  17  13  10  12   8  20   5   7  51352  19293   89
24466   1  20   3  22   2   9  13   5   8  17  19  18   4  14  11   7  10  16   6  21  12  15  24469  19294  121
25649   1  20  22   3  18  19   6  13   7  12   9  10  14  16   4  15  17  11   2  21   8   5  51428  20144   76
25650   1  21   4  20   2  13  11   5   9  19  16  18   7  12   8   6  14  17   3  22  15  10  44365  20145  114
26305   1  21  20   4  18  17   7  16   2  14  12  15   3  19  10   8  13   9   5  22  11   6  53301  20800   74
26306   2   1  21  22   3   9  12  14  19   8  16   5  11  17  10  13  18   4   7  20   6  15     98     55  138
38651   2  21  20   3  19  18   6  14   5  15   7  17   8  11  12   1  16   9  10  22  13   4  52162  25901   86
38652   3   1  20  22   2   8  14  10  21  11  12  17   7  13  15   5   9   6  18  19   4  16    274    189  141
44914   3  21  18   4  20   7  15   2   8   1  17  11  16  19  10  13  12   9   6  22   5  14  50818  26652  110
44915   4   1  19  22   2   8  14  16  15  12  17   7   6  18  10   9  20   3   5  21  11  13    648    501  137
48436   4  21  15   6  11  12  17   3   5  10  20   7  16   1  19   2  18  14  13  22   9   8  41840  26283  135
48437   5   1  18  22   2   6  16  12  17   8  19   4  11  13  14   7  21   3   9  20  10  15   1197    976  159
50551   5  21  13   7  19   4  16   1   8   2  17  18  10  20  14   3  11   6   9  22  12  15  50910  26763  124
50552   6   1  17  22   2   4  18  14  13  12  19   3  10   9  15   7  21   5  11  20   8  16   2242   1905  159
51762   6  21   2  17  16   4   9   1  15   8   7  18  20   5  13   3  12  19  10  22  11  14  44287  26522  134
51763   7   1  16  22   2   4  18  10  17   8  19   6  11  13  14   5  21   3   9  20  12  15   3242   2803  165
52553   7  20   5  14  13   8  11   3  12   2  19   6  18   4  22   1  17  16   9  21  15  10  26249  20744  154
52554   8   1  15  22   2   5  17  10  18   7  19   6  11  12  16   3  21   4   9  20  14  13   4602   4036  168
52981   8  20   6  12  14   5  15   2   9   4  19   7  18   3  21   1  17  16  10  22  13  11  37775  25419  153
52982   9   1  14  22   5   2  17  12  16   6  19   4  11   8  21   3  18   7  13  20  10  15   5949   5239  171
53192   9  16   7  14   8   5  19   1  10   6  22   3  20   2  18   4  21  11  12  17  13  15  16113  13341  173
53193  10   1  14  21   2   6  17   8  20   9  15   4  19   5  13   7  22   3  16  12  11  18  23912  18811  182
53324  10  12   5  19   3   6  18   1  15   7  21   8  16   9  14   2  22   4  11  13  20  17  16867  13937  183
53325  11   2  12  21   6   5  14   8  22   3  15   7  16   9  18   4  17   1  19  10  13  20  25367  19886  186
53444  11  10   9  16   6   5  19   2  15   3  22   1  21   4  18   7  20   8  14  13  12  17  20732  16641  185
53445  12   2  11  21   4   8  13   9  22   3  17   1  19   6  18   7  20   5  15  10  14  16  25553  20048  187
53518  12   9   6  19   7   3  17   4  16  10  13   8  21   1  14   2  22   5  18  11  15  20  16848  13929  187
53519  12   9   7  18   4   2  22   1  14   8  20  10  15   6  17   3  16   5  19  11  13  21  26237  20732  187
53520  12   9   8  17   3  11  15   2  20   5  18   7  19   6  16   1  22   4  14  10  21  13  19156  15601  187
53521  12   9   8  17   4   5  20   2  15   6  21   7  16  10  14   3  22   1  13  11  19  18  18869  15341  187
53522  12   9   8  17   7   3  19   2  16   5  18  11  15   6  20   1  14   4  22  10  13  21  12692  10863  187
53523  12   9   8  17  11   3  15   6  16   5  14   7  19   2  20   1  18   4  22  10  13  21  12691  10862  187
53524  12  10   3  21   7   4  14   5  17   2  20   8  13   9  22   1  15   6  16  11  18  19  26020  20515  187
53525  12  10   3  21   7   4  14   5  17   9  13   8  20   2  15   1  22   6  16  11  18  19  17039  14104  187
53526  12  10   5  19   3   6  18   4  14   8  21   1  20   2  16   7  22   9  13  11  15  17  14558  12224  187
53527  12  10   8  16   5   3  22   1  13   7  21   9  15   6  18   2  17   4  19  11  14  20  25453  19960  187
53528  12  10   8  16   6   9  15   4  17   1  22   2  18   7  20   3  21   5  13  11  19  14  20998  16874  187  ```

Order-11D Partial List of Basic Solutions

```Solut. | -------------Order11D ----- Cell Values -----upper case signifies points ----------| Comple-  Pair  Point
#  A   b   c   D   e   f   G   h   i   J   k   L   m   N   o   P   q   R   s   T   U   V   ment      #   Total
1   1   3  20  22   2   6  16  21   4   5   8  13   9  18  17   7  19  12  10  15  11  14    106      1  134
2   1   3  20  22   2   6  16  21   4   5   8  13   9  18  17   7  19  12  14  11  15  10     54      2  130
3   1   3  20  22   2   6  16  21   4   5   8  13  15  12  11  19   9  10   7  14  18  17    159      3  147
4   1   3  20  22   2   6  16  21   4   5   9  12  18  10  17  15  14   8  13   7  19  11     83      4  126
5   1   3  20  22   2   6  16  21   4   5  12   9  13  18  17   7  19   8  10  15  11  14    104      5  126
6   1   3  20  22   2   6  16  21   4   5  12   9  13  18  17   7  19   8  14  11  15  10     52      6  122
7   1   3  20  22   2   6  16  21   4   5  12   9  18  13  14  15   8  11   7  10  19  17    162      7  138
8   1   3  20  22   2   6  16  21   4   5  13   8  18  14  17  11  10  12   9   7  19  15    130      8  130
9   1   3  20  22   2   6  16  21   5   4   8  14   7  19  12  10  11  17   9  13  18  15    125      9  149
10   1   3  20  22   2   6  16  21   5   4   8  14   7  19  12  10  17  11  15  13  18   9     45     10  137
618   1   3  22  20   2  19   5  21  16   4  14   6  13   8  10  12   9  11   7  15  18  17  57789    494  117
619   1   4  19  22   2   5  17  20   3   6   7  14   9  18  15  10  21   8  13  16  11  12    920    495  135
1553   1   4  22  19   3  18   6  21  17   2  15   7  16   5  14  10  12   9  13   8  20  11  62964   1196   98
1554   1   5  18  22   2   6  16  19   3   8  11   9  21  10  20  13  15   7  14   4  17  12   1869   1197  119
2636   1   5  22  18   4  17   7  21  16   2  19   3  15  11  13   6  12   9  14   8  20  10  62907   2068   95
2637   1   6  17  22   2   3  19  18   4   5   8  16   7  20   9  13  11  14  15  10  21  12   2999   2069  153
4363   1   6  22  17   5  20   4  21  19   2  15   7  16   3  14  10  12   9  13   8  18  11  71915   3557   90
4364   1   7  16  22   2   3  19  17   6   4   5  21  14   8  12  20  11  10  13   9  18  15   4800   3558  147
6297   1   7  22  16   6  20   4  21  19   2  17   5  11  10  14   3  18   8  15  12  13   9  74077   5238   83
6298   1   8  15  22   2   3  19  16   4   7   6  18   5  20  13   9  21  10  17  14  11  12   6664   5239  143
9392   1   8  22  15   7  20   4  21  19   2  17   5  10  11  13   3  12  14   6  16   9  18  72432   8046   98
9393   1   9  14  22   2   3  19  15   5   7   4  21   6  16   8  17  13  12  10  18  11  20   9786   8047  164
12109   1   9  22  14   8  20   4  21  19   2  12  10  13   3   6  18   5  11   7  15  16  17  71921  10417  111
12110   1  10  13  22   2   3  19  14   6   7  21   5  18  20  11   9  12   4  16   8  17  15  12610  10418  127
15870   1  10  22  13   9  20   4  21  19   2  17   5  15   6  18   3  14  12   8  11   7  16  74800  13661   80
15871   1  11  12  22   2   3  19  13   4  10   8  16  20   7  21  14  18   6  15   5   9  17  16328  13662  126
19585   1  11  22  12  10  20   4  21  19   2  17   5  18   3  16   8  14   7  15   6  13   9  75733  16716   70
19586   1  12  11  22   3   2  19  13   4  10   9  16   7  21   6  15   5  17  14   8  20  18  19918  16717  167
22987   1  12  22  11  10  21   4  20  16   6  15   3  13   9   2  19   5   7   8  18  14  17  67737  19368  109
22988   1  13  10  22   5   2  17  14   3  12   6  18   7  19   8  16   9  15  20   4  21  11  23155  19369  156
25770   1  13  22  10  12  20   4  21  19   2  17   5  18   3  16   8  14   7  15   6  11   9  75929  21331   66
25771   1  14   9  22   7   5  12  15   3  16   2  19   4  18   8  17   6  21  10  11  13  20  25823  21332  170
28397   1  14  22   9  13  20   4  21  19   2  17   5  15   6  11  10   7  12  16   3  18   8  71443  23101   78
28398   1  15   8  22   9   3  12  16   7  11  21   6  20  17   4  18   5   2  10  14  13  19  27683  22519  135
31126   1  15  22   8  14  20   4  21  19   2  16   6   9  11   3  13   5  12   7  18  10  17  72450  24741  102
31127   1  16   7  22  11   3  10  17   4  15   6  18  12  13   8  21  14   5   9  20   2  19  22378  18796  146
33842   1  16  22   7  15  20   4  21  19   2  17   5  18   3  13  11  12   6  14   8   9  10  75904  26372   66
33843   1  17   6  22  13   2   9  18   3  16   4  20   5  19  10  14   7  21  12   8  11  15  15302  13110  156
36271   1  17  22   6  16  20   4  21  19   2  15   7   5  14   3  10   9  12  11  18   8  13  72069  27799   95
36272   1  18   5  22  15   2   7  19   3  17   4  20   8  16   6  21  10  11  14  13   9  12   8836   7496  149
38817   1  18  22   5  17  20   4  21  19   2  16   6  11   9   3  15   7   8  14  13  12  10  75119  29337   85
38818   1  19   4  22  17   2   5  20   3  18   9  15   8  21   6  16   7  14  13  11  10  12   3794   2988  145
40461   1  19  22   4  18  17   7  21  16   2  12  10   6  13  14   3  11  20  15   5   8   9  63222  30279   82
40462   1  20   7  18  19   3   6  21   5  14   8  17   4  22   9  10  12  16  11  15   2  13  37464  28384  134
41732   1  20  22   3  19  18   6  21  17   2  15   7  16   5  14  10  12   9  13   8   4  11  75878  31142   66
41733   2   3  20  21   1   6  18  19    4  5   7  14  10  16  17   9  22   8  13  15  11  12  41950  31143  131
57546   2  20  19   5  21  17   3  22  14   7   8  12   4  13   1  18   9  11  16  15  10   6  72369  36815  102
57547   3   1  20  22   2   6  16  21   4   5   7  14   8  18   9  15  13  11  10  17  19  12    383    259  152
65841   3  19  20   4  21  16   5  22  13   6   9  11   2  17   1  15  10  12  14  18   8   7  71566  37854  106
65842   4   1  19  22   2   5  17  20   3   6   7  14  11  16   9  18  13   8  12  15  21  10   1439   1082  151
69881   4  20  17   5  22  13   6  21  11   8   9  12   3  18   1  16   2  19  14  10  15   7  69861  37949  120
69882   5   1  18  22   2  10  12  19   4  11   3  14   6  16  17   9  21  13   7  20   8  15   2620   2052  145
72568   5  19  15   7  22   3  14  21   1  10   9  12  11  20   8  17   2  18   4  13   6  16  63464  37629  138
72569   6   1  17  22   2   7  15  18   5   8   9  12  16  11  10  20   4  13   3  14  21  19   4361   3555  161
74076   6  19  12   9  22   1  14  20   4   8  10  16  11  18   3  21   2  13   5  17   7  15  52405  35109  144
74077   7   1  16  22   2   8  14  17   5  10   9  11  12  15   6  20   4  13   3  18  21  19   6297   5238  170
74820   7  18  13   8  21   5  12  19   1  14   2  17   4  20   3  22   6  16  11  15  10   9  41670  31080  150
74821   8   1  15  22   5   7  12  19   4  11   3  17   2  20   6  16  13  14   9  21  18  10   9115   7769  169
75283   8  17  12   9  20   7  10  18   5  13   2  19   4  16   3  22   1  21   6  15  11   1  41387  30806  158
75284   9   1  14  22   2   5  17  15   3  11   8  13  12  16   6  21   7  10   4  20  19   1  12079  10387  176
75570   9  17   6  14  21   1  10  18   5  13   8  19   4  22   3  16   2  20   7  15  11  12  38081  28696  161
75571  10   1  13  22   4   6  14  16   5  11   3  19   9  12   8  21   7  15   2  20  17  18  15714  13505  179
75742  10   9  15  12   7   8  19  11   2  14   1  16   5  17   6  21   4  20   3  18  13  22  32964  25680  182
75743  11   3  10  22   4   6  14  13   2  17   7  12   8  20   9  15   5  19   1  18  16  21  25006  20644  185
75847  11   9  14  12   7   8  19  10   2  15   1  16   5  17   6  21   4  20   3  18  13  22  32965  25681  184
75848  12   2  11  21   1   4  20  10   3  13   5  17   7  18   6  19   8  14   9  16  22  15  31056  24671  187
75930  12   9  11  14   8   2  22  10   1  13   3  19   5  20   4  21   6  16   7  18  15  17  25766  21327  187
75931  12   9  11  14   8   2  22  10   1  13   6  16   7  21   5  19   3  18   4  17  15  20  25692  21253  187
75932  12   9  11  14   8   4  20  10   3  13   1  21   2  19   6  18   5  22   7  15  16  17  38808  29328  187
75933  12   9  11  14   8   4  20  10   3  13   5  17   7  18   6  19   1  21   2  16  15  22  31062  24677  187
75934  12   9  11  14   8   5  19  10   1  16   2  17   4  20   3  22   7  15   6  21  13  18  41687  31097  187
75935  12   9  11  14   8   5  19  10   1  16   4  15   6  20   7  18   3  21   2  17  13  22  30618  24306  187
75936  12   9  11  14   8   5  19  10   2  15   7  13   6  22   4  18   1  20   3  17  16  21  35336  27100  187
75937  12   9  11  14   8   5  19  10   4  13   6  16   3  22   2  18   1  21   7  15  20  17  40262  30080  187
75938  12   9  11  14   8   7  17  10   1  18   2  15   4  20   3  22   6  16   5  21  13  19  41613  31023  187
75939  12   9  11  14   8   7  17  10   6  13   2  20   4  15   3  22   1  21   5  16  18  19  41290  30739  187
75940  12   9  11  14   8   7  17  10   6  13   4  18   5  16   3  21   1  20   2  19  15  22  31123  24738  187  ```
 This page was originally posted November 1998 It was last updated March 27, 2010 Harvey Heinz   harveyheinz@shaw.ca Copyright © 1998-2009 by Harvey D. Heinz