The Magic Encyclopedia ™ DataBase

Latin Component squares order 9
{note: investigative article}
(by Aale de Winkel)

Latin Square Components form the basic squares with digits in the radix of the orders prime factors, below (intend to be) a full listing of LSC's for order 9 obtained by the pattern augmentation sheme. The numbers listed with each 3 by 3 square is a full representation of that square by taking each cell as a ternairy digit, thus the square form a 9 digit ternairy number which correspond with the listed decimal number. Column 2 and column 4 turns out to be transpositions of column 1 resp. column 3, while there is an interchange of digits 1 <-> 2 between the third and first column, simular the fourth and second column are related. Patterns with augmentators 377, 715, 3785 and 5299 are related 8 ways, the table shows these LSC's grouped 8 ways. 22 essentially different patterns I thus found giving LSC's, transpositions and 1 <-> 2 interchange relates many, while LSC(346,5681)~2 = LSC(6520,5421) (~2 = y-reflection), more elaborate relations I spotted among many of the LSC's listed, these probably makes interesting relations between various panmagic squares. As the two parameter LSC investigation shows, it is now a matter of combining 4 of the panmagic LSC's below into 24 possible panmagic squares.
Given the given identification it is thus possible to parametrize a panmagic square with 8 numbers (ie four (pattern,augmentator) pairs). Currently I know of the below listed 124 LSC's, it might be possible there are more around (suppose it possible to rotate patterns, a possibility I didn't investigate yet. In such a case the listed below might be called "regular augmentation LSC's" or so)
the investigative note is raised to note that i need to smoothen out the rough edges still.

Augmentators and parameter summary
patterns with 377 and 715
3785 4061 4173 5313 5677
3795 4065 4177 5407 5681
3799 4069 5299 5411 5689
4055 4163 5303 5421 5691
patterns with 3785 and 5299
377 1807 3341 4173 5681
715 2145 3393 4667 6097
1131 2639 3419 5005 6409
1391 2743 4069 5421 6435
patterns with 4069
396 2940 4529
665 3619 4795
1764 3732 5321
2033 4195 5371
patterns with 5681
346 2386 5268
684 2777 5393
1138 3754 5844
1260 4145 6185
patterns with 4173
122 3320 4460
460 3577 4825
1681 3823 5435
2063 4286 5800
patterns with 5421
241 2356 5207
596 2819 5545
842 4040 6182
1207 4297 6520
LSC by augmented patterns
LSC(122,4173) LSC(842,5421) LSC(241,5421) LSC(1681,4173)
122
0 0 0
0 1 1
1 1 2
4173
0 1 2
2 0 1
1 2 0
842
0 0 1
0 1 1
0 1 2
5421
0 2 1
1 0 2
2 1 0
241
0 0 0
0 2 2
2 2 1
5421
0 2 1
1 0 2
2 1 0
1681
0 0 2
0 2 2
0 2 1
4173
0 1 2
2 0 1
1 2 0
0 0 0 1 1 1 2 2 2
0 1 1 1 2 2 2 0 0
1 1 2 2 2 0 0 0 1
2 2 2 0 0 0 1 1 1
2 0 0 0 1 1 1 2 2
0 0 1 1 1 2 2 2 0
1 1 1 2 2 2 0 0 0
1 2 2 2 0 0 0 1 1
2 2 0 0 0 1 1 1 2
0 0 1 2 2 0 1 1 2
0 1 1 2 0 0 1 2 2
0 1 2 2 0 1 1 2 0
1 1 2 0 0 1 2 2 0
1 2 2 0 1 1 2 0 0
1 2 0 0 1 2 2 0 1
2 2 0 1 1 2 0 0 1
2 0 0 1 2 2 0 1 1
2 0 1 1 2 0 0 1 2
0 0 0 2 2 2 1 1 1
0 2 2 2 1 1 1 0 0
2 2 1 1 1 0 0 0 2
1 1 1 0 0 0 2 2 2
1 0 0 0 2 2 2 1 1
0 0 2 2 2 1 1 1 0
2 2 2 1 1 1 0 0 0
2 1 1 1 0 0 0 2 2
1 1 0 0 0 2 2 2 1
0 0 2 1 1 0 2 2 1
0 2 2 1 0 0 2 1 1
0 2 1 1 0 2 2 1 0
2 2 1 0 0 2 1 1 0
2 1 1 0 2 2 1 0 0
2 1 0 0 2 1 1 0 2
1 1 0 2 2 1 0 0 2
1 0 0 2 1 1 0 2 2
1 0 2 2 1 0 0 2 1
LSC(346,5681) LSC(3754,5681) LSC(665,4069) LSC(5321,4069)
346
0 0 0
1 1 0
2 1 1
5681
0 2 1
2 1 0
1 0 2
3754
0 1 2
0 1 1
0 0 1
5681
0 2 1
2 1 0
1 0 2
665
0 0 0
2 2 0
1 2 2
4069
0 1 2
1 2 0
2 0 1
5321
0 2 1
0 2 2
0 0 2
4069
0 1 2
1 2 0
2 0 1
0 0 0 2 2 2 1 1 1
1 1 0 0 0 2 2 2 1
2 1 1 1 0 0 0 2 2
2 2 2 1 1 1 0 0 0
0 0 2 2 2 1 1 1 0
1 0 0 0 2 2 2 1 1
1 1 1 0 0 0 2 2 2
2 2 1 1 1 0 0 0 2
0 2 2 2 1 1 1 0 0
0 1 2 2 0 1 1 2 0
0 1 1 2 0 0 1 2 2
0 0 1 2 2 0 1 1 2
2 0 1 1 2 0 0 1 2
2 0 0 1 2 2 0 1 1
2 2 0 1 1 2 0 0 1
1 2 0 0 1 2 2 0 1
1 2 2 0 1 1 2 0 0
1 1 2 0 0 1 2 2 0
0 0 0 1 1 1 2 2 2
2 2 0 0 0 1 1 1 2
1 2 2 2 0 0 0 1 1
1 1 1 2 2 2 0 0 0
0 0 1 1 1 2 2 2 0
2 0 0 0 1 1 1 2 2
2 2 2 0 0 0 1 1 1
1 1 2 2 2 0 0 0 1
0 1 1 1 2 2 2 0 0
0 2 1 1 0 2 2 1 0
0 2 2 1 0 0 2 1 1
0 0 2 1 1 0 2 2 1
1 0 2 2 1 0 0 2 1
1 0 0 2 1 1 0 2 2
1 1 0 2 2 1 0 0 2
2 1 0 0 2 1 1 0 2
2 1 1 0 2 2 1 0 0
2 2 1 0 0 2 1 1 0
LSC(377,3785) LSC(3785,715) LSC(715,5299) LSC(5299,715)
377
0 0 0
1 1 1
2 2 2
3785
0 1 2
0 1 2
0 1 2
3785
0 1 2
0 1 2
0 1 2
377
0 0 0
1 1 1
2 2 2
715
0 0 0
2 2 2
1 1 1
5299
0 2 1
0 2 1
0 2 1
5299
0 2 1
0 2 1
0 2 1
715
0 0 0
2 2 2
1 1 1
0 0 0 1 1 1 2 2 2
1 1 1 2 2 2 0 0 0
2 2 2 0 0 0 1 1 1
0 0 0 1 1 1 2 2 2
1 1 1 2 2 2 0 0 0
2 2 2 0 0 0 1 1 1
0 0 0 1 1 1 2 2 2
1 1 1 2 2 2 0 0 0
2 2 2 0 0 0 1 1 1
0 1 2 0 1 2 0 1 2
0 1 2 0 1 2 0 1 2
0 1 2 0 1 2 0 1 2
1 2 0 1 2 0 1 2 0
1 2 0 1 2 0 1 2 0
1 2 0 1 2 0 1 2 0
2 0 1 2 0 1 2 0 1
2 0 1 2 0 1 2 0 1
2 0 1 2 0 1 2 0 1
0 0 0 2 2 2 1 1 1
2 2 2 1 1 1 0 0 0
1 1 1 0 0 0 2 2 2
0 0 0 2 2 2 1 1 1
2 2 2 1 1 1 0 0 0
1 1 1 0 0 0 2 2 2
0 0 0 2 2 2 1 1 1
2 2 2 1 1 1 0 0 0
1 1 1 0 0 0 2 2 2
0 2 1 0 2 1 0 2 1
0 2 1 0 2 1 0 2 1
0 2 1 0 2 1 0 2 1
2 1 0 2 1 0 2 1 0
2 1 0 2 1 0 2 1 0
2 1 0 2 1 0 2 1 0
1 0 2 1 0 2 1 0 2
1 0 2 1 0 2 1 0 2
1 0 2 1 0 2 1 0 2
0 0 0 2 2 2 1 1 1
1 1 1 0 0 0 2 2 2
2 2 2 1 1 1 0 0 0
0 0 0 2 2 2 1 1 1
1 1 1 0 0 0 2 2 2
2 2 2 1 1 1 0 0 0
0 0 0 2 2 2 1 1 1
1 1 1 0 0 0 2 2 2
2 2 2 1 1 1 0 0 0
0 1 2 0 1 2 0 1 2
0 1 2 0 1 2 0 1 2
0 1 2 0 1 2 0 1 2
2 0 1 2 0 1 2 0 1
2 0 1 2 0 1 2 0 1
2 0 1 2 0 1 2 0 1
1 2 0 1 2 0 1 2 0
1 2 0 1 2 0 1 2 0
1 2 0 1 2 0 1 2 0
0 0 0 1 1 1 2 2 2
2 2 2 0 0 0 1 1 1
1 1 1 2 2 2 0 0 0
0 0 0 1 1 1 2 2 2
2 2 2 0 0 0 1 1 1
1 1 1 2 2 2 0 0 0
0 0 0 1 1 1 2 2 2
2 2 2 0 0 0 1 1 1
1 1 1 2 2 2 0 0 0
0 2 1 0 2 1 0 2 1
0 2 1 0 2 1 0 2 1
0 2 1 0 2 1 0 2 1
1 0 2 1 0 2 1 0 2
1 0 2 1 0 2 1 0 2
1 0 2 1 0 2 1 0 2
2 1 0 2 1 0 2 1 0
2 1 0 2 1 0 2 1 0
2 1 0 2 1 0 2 1 0
377
0 0 0
1 1 1
2 2 2
5299
0 2 1
0 2 1
0 2 1
3785
0 1 2
0 1 2
0 1 2
715
0 0 0
2 2 2
1 1 1
715
0 0 0
2 2 2
1 1 1
3785
0 1 2
0 1 2
0 1 2
5299
0 2 1
0 2 1
0 2 1
377
0 0 0
1 1 1
2 2 2
LSC(377,5299) LSC(3785,377) LSC(715,3785) LSC(5299,377)
LSC(396,4069) LSC(3732,4069) LSC(684,5681) LSC(5268,5681)
396
0 0 0
1 1 2
2 0 0
4069
0 1 2
1 2 0
2 0 1
3732
0 1 2
0 1 0
0 2 0
4069
0 1 2
1 2 0
2 0 1
684
0 0 0
2 2 1
1 0 0
5681
0 2 1
2 1 0
1 0 2
5268
0 2 1
0 2 0
0 1 0
5681
0 2 1
2 1 0
1 0 2
0 0 0 1 1 1 2 2 2
1 1 2 2 2 0 0 0 1
2 0 0 0 1 1 1 2 2
1 1 1 2 2 2 0 0 0
2 2 0 0 0 1 1 1 2
0 1 1 1 2 2 2 0 0
2 2 2 0 0 0 1 1 1
0 0 1 1 1 2 2 2 0
1 2 2 2 0 0 0 1 1
0 1 2 1 2 0 2 0 1
0 1 0 1 2 1 2 0 2
0 2 0 1 0 1 2 1 2
1 2 0 2 0 1 0 1 2
1 2 1 2 0 2 0 1 0
1 0 1 2 1 2 0 2 0
2 0 1 0 1 2 1 2 0
2 0 2 0 1 0 1 2 1
2 1 2 0 2 0 1 0 1
0 0 0 2 2 2 1 1 1
2 2 1 1 1 0 0 0 2
1 0 0 0 2 2 2 1 1
2 2 2 1 1 1 0 0 0
1 1 0 0 0 2 2 2 1
0 2 2 2 1 1 1 0 0
1 1 1 0 0 0 2 2 2
0 0 2 2 2 1 1 1 0
2 1 1 1 0 0 0 2 2
0 2 1 2 1 0 1 0 2
0 2 0 2 1 2 1 0 1
0 1 0 2 0 2 1 2 1
2 1 0 1 0 2 0 2 1
2 1 2 1 0 1 0 2 0
2 0 2 1 2 1 0 1 0
1 0 2 0 2 1 2 1 0
1 0 1 0 2 0 2 1 2
1 2 1 0 1 0 2 0 2
LSC(460,4173) LSC(2356,5421) LSC(596,5421) LSC(4460,4173)
460
0 0 0
1 2 2
0 0 1
4173
0 1 2
2 0 1
1 2 0
2356
0 1 0
0 2 0
0 2 1
5421
0 2 1
1 0 2
2 1 0
596
0 0 0
2 1 1
0 0 2
5421
0 2 1
1 0 2
2 1 0
4460
0 2 0
0 1 0
0 1 2
4173
0 1 2
2 0 1
1 2 0
0 0 0 1 1 1 2 2 2
1 2 2 2 0 0 0 1 1
0 0 1 1 1 2 2 2 0
2 2 2 0 0 0 1 1 1
0 1 1 1 2 2 2 0 0
2 2 0 0 0 1 1 1 2
1 1 1 2 2 2 0 0 0
2 0 0 0 1 1 1 2 2
1 1 2 2 2 0 0 0 1
0 1 0 2 0 2 1 2 1
0 2 0 2 1 2 1 0 1
0 2 1 2 1 0 1 0 2
1 2 1 0 1 0 2 0 2
1 0 1 0 2 0 2 1 2
1 0 2 0 2 1 2 1 0
2 0 2 1 2 1 0 1 0
2 1 2 1 0 1 0 2 0
2 1 0 1 0 2 0 2 1
0 0 0 2 2 2 1 1 1
2 1 1 1 0 0 0 2 2
0 0 2 2 2 1 1 1 0
1 1 1 0 0 0 2 2 2
0 2 2 2 1 1 1 0 0
1 1 0 0 0 2 2 2 1
2 2 2 1 1 1 0 0 0
1 0 0 0 2 2 2 1 1
2 2 1 1 1 0 0 0 2
0 2 0 1 0 1 2 1 2
0 1 0 1 2 1 2 0 2
0 1 2 1 2 0 2 0 1
2 1 2 0 2 0 1 0 1
2 0 2 0 1 0 1 2 1
2 0 1 0 1 2 1 2 0
1 0 1 2 1 2 0 2 0
1 2 1 2 0 2 0 1 0
1 2 0 2 0 1 0 1 2
LSC(1131,3785) LSC(3795,377) LSC(2145,5299) LSC(5313,715)
1131
0 0 1
1 1 2
2 2 0
3785
0 1 2
0 1 2
0 1 2
3795
0 1 2
0 1 2
1 2 0
377
0 0 0
1 1 1
2 2 2
2145
0 0 2
2 2 1
1 1 0
5299
0 2 1
0 2 1
0 2 1
5313
0 2 1
0 2 1
2 1 0
715
0 0 0
2 2 2
1 1 1
0 0 1 1 1 2 2 2 0
1 1 2 2 2 0 0 0 1
2 2 0 0 0 1 1 1 2
0 0 1 1 1 2 2 2 0
1 1 2 2 2 0 0 0 1
2 2 0 0 0 1 1 1 2
0 0 1 1 1 2 2 2 0
1 1 2 2 2 0 0 0 1
2 2 0 0 0 1 1 1 2
0 1 2 0 1 2 0 1 2
0 1 2 0 1 2 0 1 2
1 2 0 1 2 0 1 2 0
1 2 0 1 2 0 1 2 0
1 2 0 1 2 0 1 2 0
2 0 1 2 0 1 2 0 1
2 0 1 2 0 1 2 0 1
2 0 1 2 0 1 2 0 1
0 1 2 0 1 2 0 1 2
0 0 2 2 2 1 1 1 0
2 2 1 1 1 0 0 0 2
1 1 0 0 0 2 2 2 1
0 0 2 2 2 1 1 1 0
2 2 1 1 1 0 0 0 2
1 1 0 0 0 2 2 2 1
0 0 2 2 2 1 1 1 0
2 2 1 1 1 0 0 0 2
1 1 0 0 0 2 2 2 1
0 2 1 0 2 1 0 2 1
0 2 1 0 2 1 0 2 1
2 1 0 2 1 0 2 1 0
2 1 0 2 1 0 2 1 0
2 1 0 2 1 0 2 1 0
1 0 2 1 0 2 1 0 2
1 0 2 1 0 2 1 0 2
1 0 2 1 0 2 1 0 2
0 2 1 0 2 1 0 2 1
0 0 1 2 2 0 1 1 2
1 1 2 0 0 1 2 2 0
2 2 0 1 1 2 0 0 1
0 0 1 2 2 0 1 1 2
1 1 2 0 0 1 2 2 0
2 2 0 1 1 2 0 0 1
0 0 1 2 2 0 1 1 2
1 1 2 0 0 1 2 2 0
2 2 0 1 1 2 0 0 1
0 1 2 0 1 2 0 1 2
0 1 2 0 1 2 0 1 2
1 2 0 1 2 0 1 2 0
2 0 1 2 0 1 2 0 1
2 0 1 2 0 1 2 0 1
0 1 2 0 1 2 0 1 2
1 2 0 1 2 0 1 2 0
1 2 0 1 2 0 1 2 0
2 0 1 2 0 1 2 0 1
0 0 2 1 1 0 2 2 1
2 2 1 0 0 2 1 1 0
1 1 0 2 2 1 0 0 2
0 0 2 1 1 0 2 2 1
2 2 1 0 0 2 1 1 0
1 1 0 2 2 1 0 0 2
0 0 2 1 1 0 2 2 1
2 2 1 0 0 2 1 1 0
1 1 0 2 2 1 0 0 2
0 2 1 0 2 1 0 2 1
0 2 1 0 2 1 0 2 1
2 1 0 2 1 0 2 1 0
1 0 2 1 0 2 1 0 2
1 0 2 1 0 2 1 0 2
0 2 1 0 2 1 0 2 1
2 1 0 2 1 0 2 1 0
2 1 0 2 1 0 2 1 0
1 0 2 1 0 2 1 0 2
1131
0 0 1
1 1 2
2 2 0
5299
0 2 1
0 2 1
0 2 1
3795
0 1 2
0 1 2
1 2 0
715
0 0 0
2 2 2
1 1 1
2145
0 0 2
2 2 1
1 1 0
3785
0 1 2
0 1 2
0 1 2
5313
0 2 1
0 2 1
2 1 0
377
0 0 0
1 1 1
2 2 2
LSC(1131,5299) LSC(3795,715) LSC(2145,3785) LSC(5313,377)
LSC(1138,5681) LSC(2386,5681) LSC(2033,4069) LSC(4529,4069)
1138
0 0 1
1 2 0
0 1 1
5681
0 2 1
2 1 0
1 0 2
2386
0 1 0
0 2 1
1 0 1
5681
0 2 1
2 1 0
1 0 2
2033
0 0 2
2 1 0
0 2 2
4069
0 1 2
1 2 0
2 0 1
4529
0 2 0
0 1 2
2 0 2
4069
0 1 2
1 2 0
2 0 1
0 0 1 2 2 0 1 1 2
1 2 0 0 1 2 2 0 1
0 1 1 2 0 0 1 2 2
2 2 0 1 1 2 0 0 1
0 1 2 2 0 1 1 2 0
2 0 0 1 2 2 0 1 1
1 1 2 0 0 1 2 2 0
2 0 1 1 2 0 0 1 2
1 2 2 0 1 1 2 0 0
0 1 0 2 0 2 1 2 1
0 2 1 2 1 0 1 0 2
1 0 1 0 2 0 2 1 2
2 0 2 1 2 1 0 1 0
2 1 0 1 0 2 0 2 1
0 2 0 2 1 2 1 0 1
1 2 1 0 1 0 2 0 2
1 0 2 0 2 1 2 1 0
2 1 2 1 0 1 0 2 0
0 0 2 1 1 0 2 2 1
2 1 0 0 2 1 1 0 2
0 2 2 1 0 0 2 1 1
1 1 0 2 2 1 0 0 2
0 2 1 1 0 2 2 1 0
1 0 0 2 1 1 0 2 2
2 2 1 0 0 2 1 1 0
1 0 2 2 1 0 0 2 1
2 1 1 0 2 2 1 0 0
0 2 0 1 0 1 2 1 2
0 1 2 1 2 0 2 0 1
2 0 2 0 1 0 1 2 1
1 0 1 2 1 2 0 2 0
1 2 0 2 0 1 0 1 2
0 1 0 1 2 1 2 0 2
2 1 2 0 2 0 1 0 1
2 0 1 0 1 2 1 2 0
1 2 1 2 0 2 0 1 0
LSC(1207,5421) LSC(3823,4173) LSC(2063,4173) LSC(5207,5421)
1207
0 0 1
1 2 2
2 0 1
5421
0 2 1
1 0 2
2 1 0
3823
0 1 2
0 2 0
1 2 1
4173
0 1 2
2 0 1
1 2 0
2063
0 0 2
2 1 1
1 0 2
4173
0 1 2
2 0 1
1 2 0
5207
0 2 1
0 1 0
2 1 2
5421
0 2 1
1 0 2
2 1 0
0 0 1 2 2 0 1 1 2
1 2 2 0 1 1 2 0 0
2 0 1 1 2 0 0 1 2
1 1 2 0 0 1 2 2 0
2 0 0 1 2 2 0 1 1
0 1 2 2 0 1 1 2 0
2 2 0 1 1 2 0 0 1
0 1 1 2 0 0 1 2 2
1 2 0 0 1 2 2 0 1
0 1 2 1 2 0 2 0 1
0 2 0 1 0 1 2 1 2
1 2 1 2 0 2 0 1 0
2 0 1 0 1 2 1 2 0
2 1 2 0 2 0 1 0 1
0 1 0 1 2 1 2 0 2
1 2 0 2 0 1 0 1 2
1 0 1 2 1 2 0 2 0
2 0 2 0 1 0 1 2 1
0 0 2 1 1 0 2 2 1
2 1 1 0 2 2 1 0 0
1 0 2 2 1 0 0 2 1
2 2 1 0 0 2 1 1 0
1 0 0 2 1 1 0 2 2
0 2 1 1 0 2 2 1 0
1 1 0 2 2 1 0 0 2
0 2 2 1 0 0 2 1 1
2 1 0 0 2 1 1 0 2
0 2 1 2 1 0 1 0 2
0 1 0 2 0 2 1 2 1
2 1 2 1 0 1 0 2 0
1 0 2 0 2 1 2 1 0
1 2 1 0 1 0 2 0 2
0 2 0 2 1 2 1 0 1
2 1 0 1 0 2 0 2 1
2 0 2 1 2 1 0 1 0
1 0 1 0 2 0 2 1 2
LSC(1260,5681) LSC(5844,5681) LSC(1764,4069) LSC(2940,4069)
1260
0 0 1
2 0 1
2 0 0
5681
0 2 1
2 1 0
1 0 2
5844
0 2 2
0 0 0
1 1 0
5681
0 2 1
2 1 0
1 0 2
1764
0 0 2
1 0 2
1 0 0
4069
0 1 2
1 2 0
2 0 1
2940
0 1 1
0 0 0
2 2 0
4069
0 1 2
1 2 0
2 0 1
0 0 1 2 2 0 1 1 2
2 0 1 1 2 0 0 1 2
2 0 0 1 2 2 0 1 1
2 2 0 1 1 2 0 0 1
1 2 0 0 1 2 2 0 1
1 2 2 0 1 1 2 0 0
1 1 2 0 0 1 2 2 0
0 1 2 2 0 1 1 2 0
0 1 1 2 0 0 1 2 2
0 2 2 2 1 1 1 0 0
0 0 0 2 2 2 1 1 1
1 1 0 0 0 2 2 2 1
2 1 1 1 0 0 0 2 2
2 2 2 1 1 1 0 0 0
0 0 2 2 2 1 1 1 0
1 0 0 0 2 2 2 1 1
1 1 1 0 0 0 2 2 2
2 2 1 1 1 0 0 0 2
0 0 2 1 1 0 2 2 1
1 0 2 2 1 0 0 2 1
1 0 0 2 1 1 0 2 2
1 1 0 2 2 1 0 0 2
2 1 0 0 2 1 1 0 2
2 1 1 0 2 2 1 0 0
2 2 1 0 0 2 1 1 0
0 2 1 1 0 2 2 1 0
0 2 2 1 0 0 2 1 1
0 1 1 1 2 2 2 0 0
0 0 0 1 1 1 2 2 2
2 2 0 0 0 1 1 1 2
1 2 2 2 0 0 0 1 1
1 1 1 2 2 2 0 0 0
0 0 1 1 1 2 2 2 0
2 0 0 0 1 1 1 2 2
2 2 2 0 0 0 1 1 1
1 1 2 2 2 0 0 0 1
LSC(1391,3785) LSC(5303,377) LSC(1807,5299) LSC(3799,715)
1391
0 0 1
2 2 0
1 1 2
3785
0 1 2
0 1 2
0 1 2
5303
0 2 1
0 2 1
1 0 2
377
0 0 0
1 1 1
2 2 2
1807
0 0 2
1 1 0
2 2 1
5299
0 2 1
0 2 1
0 2 1
3799
0 1 2
0 1 2
2 0 1
715
0 0 0
2 2 2
1 1 1
0 0 1 1 1 2 2 2 0
2 2 0 0 0 1 1 1 2
1 1 2 2 2 0 0 0 1
0 0 1 1 1 2 2 2 0
2 2 0 0 0 1 1 1 2
1 1 2 2 2 0 0 0 1
0 0 1 1 1 2 2 2 0
2 2 0 0 0 1 1 1 2
1 1 2 2 2 0 0 0 1
0 2 1 0 2 1 0 2 1
0 2 1 0 2 1 0 2 1
1 0 2 1 0 2 1 0 2
1 0 2 1 0 2 1 0 2
1 0 2 1 0 2 1 0 2
2 1 0 2 1 0 2 1 0
2 1 0 2 1 0 2 1 0
2 1 0 2 1 0 2 1 0
0 2 1 0 2 1 0 2 1
0 0 2 2 2 1 1 1 0
1 1 0 0 0 2 2 2 1
2 2 1 1 1 0 0 0 2
0 0 2 2 2 1 1 1 0
1 1 0 0 0 2 2 2 1
2 2 1 1 1 0 0 0 2
0 0 2 2 2 1 1 1 0
1 1 0 0 0 2 2 2 1
2 2 1 1 1 0 0 0 2
0 1 2 0 1 2 0 1 2
0 1 2 0 1 2 0 1 2
2 0 1 2 0 1 2 0 1
2 0 1 2 0 1 2 0 1
2 0 1 2 0 1 2 0 1
1 2 0 1 2 0 1 2 0
1 2 0 1 2 0 1 2 0
1 2 0 1 2 0 1 2 0
0 1 2 0 1 2 0 1 2
0 0 1 2 2 0 1 1 2
2 2 0 1 1 2 0 0 1
1 1 2 0 0 1 2 2 0
0 0 1 2 2 0 1 1 2
2 2 0 1 1 2 0 0 1
1 1 2 0 0 1 2 2 0
0 0 1 2 2 0 1 1 2
2 2 0 1 1 2 0 0 1
1 1 2 0 0 1 2 2 0
0 2 1 0 2 1 0 2 1
0 2 1 0 2 1 0 2 1
1 0 2 1 0 2 1 0 2
2 1 0 2 1 0 2 1 0
2 1 0 2 1 0 2 1 0
0 2 1 0 2 1 0 2 1
1 0 2 1 0 2 1 0 2
1 0 2 1 0 2 1 0 2
2 1 0 2 1 0 2 1 0
0 0 2 1 1 0 2 2 1
1 1 0 2 2 1 0 0 2
2 2 1 0 0 2 1 1 0
0 0 2 1 1 0 2 2 1
1 1 0 2 2 1 0 0 2
2 2 1 0 0 2 1 1 0
0 0 2 1 1 0 2 2 1
1 1 0 2 2 1 0 0 2
2 2 1 0 0 2 1 1 0
0 1 2 0 1 2 0 1 2
0 1 2 0 1 2 0 1 2
2 0 1 2 0 1 2 0 1
1 2 0 1 2 0 1 2 0
1 2 0 1 2 0 1 2 0
0 1 2 0 1 2 0 1 2
2 0 1 2 0 1 2 0 1
2 0 1 2 0 1 2 0 1
1 2 0 1 2 0 1 2 0
1391
0 0 1
2 2 0
1 1 2
5299
0 2 1
0 2 1
0 2 1
5303
0 2 1
0 2 1
1 0 2
715
0 0 0
2 2 2
1 1 1
1807
0 0 2
1 1 0
2 2 1
3785
0 1 2
0 1 2
0 1 2
3799
0 1 2
0 1 2
2 0 1
377
0 0 0
1 1 1
2 2 2
LSC(1391,5299) LSC(5303,715) LSC(1807,3785) LSC(3799,377)
LSC(2639,3785) LSC(4055,377) LSC(5005,5299) LSC(5677,715)
2639
0 1 0
1 2 1
2 0 2
3785
0 1 2
0 1 2
0 1 2
4055
0 1 2
1 2 0
0 1 2
377
0 0 0
1 1 1
2 2 2
5005
0 2 0
2 1 2
1 0 1
5299
0 2 1
0 2 1
0 2 1
5677
0 2 1
2 1 0
0 2 1
715
0 0 0
2 2 2
1 1 1
0 1 0 1 2 1 2 0 2
1 2 1 2 0 2 0 1 0
2 0 2 0 1 0 1 2 1
0 1 0 1 2 1 2 0 2
1 2 1 2 0 2 0 1 0
2 0 2 0 1 0 1 2 1
0 1 0 1 2 1 2 0 2
1 2 1 2 0 2 0 1 0
2 0 2 0 1 0 1 2 1
0 1 2 0 1 2 0 1 2
1 2 0 1 2 0 1 2 0
0 1 2 0 1 2 0 1 2
1 2 0 1 2 0 1 2 0
2 0 1 2 0 1 2 0 1
1 2 0 1 2 0 1 2 0
2 0 1 2 0 1 2 0 1
0 1 2 0 1 2 0 1 2
2 0 1 2 0 1 2 0 1
0 2 0 2 1 2 1 0 1
2 1 2 1 0 1 0 2 0
1 0 1 0 2 0 2 1 2
0 2 0 2 1 2 1 0 1
2 1 2 1 0 1 0 2 0
1 0 1 0 2 0 2 1 2
0 2 0 2 1 2 1 0 1
2 1 2 1 0 1 0 2 0
1 0 1 0 2 0 2 1 2
0 2 1 0 2 1 0 2 1
2 1 0 2 1 0 2 1 0
0 2 1 0 2 1 0 2 1
2 1 0 2 1 0 2 1 0
1 0 2 1 0 2 1 0 2
2 1 0 2 1 0 2 1 0
1 0 2 1 0 2 1 0 2
0 2 1 0 2 1 0 2 1
1 0 2 1 0 2 1 0 2
0 1 0 2 0 2 1 2 1
1 2 1 0 1 0 2 0 2
2 0 2 1 2 1 0 1 0
0 1 0 2 0 2 1 2 1
1 2 1 0 1 0 2 0 2
2 0 2 1 2 1 0 1 0
0 1 0 2 0 2 1 2 1
1 2 1 0 1 0 2 0 2
2 0 2 1 2 1 0 1 0
0 1 2 0 1 2 0 1 2
1 2 0 1 2 0 1 2 0
0 1 2 0 1 2 0 1 2
2 0 1 2 0 1 2 0 1
0 1 2 0 1 2 0 1 2
2 0 1 2 0 1 2 0 1
1 2 0 1 2 0 1 2 0
2 0 1 2 0 1 2 0 1
1 2 0 1 2 0 1 2 0
0 2 0 1 0 1 2 1 2
2 1 2 0 2 0 1 0 1
1 0 1 2 1 2 0 2 0
0 2 0 1 0 1 2 1 2
2 1 2 0 2 0 1 0 1
1 0 1 2 1 2 0 2 0
0 2 0 1 0 1 2 1 2
2 1 2 0 2 0 1 0 1
1 0 1 2 1 2 0 2 0
0 2 1 0 2 1 0 2 1
2 1 0 2 1 0 2 1 0
0 2 1 0 2 1 0 2 1
1 0 2 1 0 2 1 0 2
0 2 1 0 2 1 0 2 1
1 0 2 1 0 2 1 0 2
2 1 0 2 1 0 2 1 0
1 0 2 1 0 2 1 0 2
2 1 0 2 1 0 2 1 0
2639
0 1 0
1 2 1
2 0 2
5299
0 2 1
0 2 1
0 2 1
4055
0 1 2
1 2 0
0 1 2
715
0 0 0
2 2 2
1 1 1
5005
0 2 0
2 1 2
1 0 1
3785
0 1 2
0 1 2
0 1 2
5677
0 2 1
2 1 0
0 2 1
377
0 0 0
1 1 1
2 2 2
LSC(2639,5299) LSC(4055,715) LSC(5005,3785) LSC(5677,377)
LSC(2743,3785) LSC(5407,377) LSC(4667,5299) LSC(4163,715)
2743
0 1 0
2 0 2
1 2 1
3785
0 1 2
0 1 2
0 1 2
5407
0 2 1
1 0 2
0 2 1
377
0 0 0
1 1 1
2 2 2
4667
0 2 0
1 0 1
2 1 2
5299
0 2 1
0 2 1
0 2 1
4163
0 1 2
2 0 1
0 1 2
715
0 0 0
2 2 2
1 1 1
0 1 0 1 2 1 2 0 2
2 0 2 0 1 0 1 2 1
1 2 1 2 0 2 0 1 0
0 1 0 1 2 1 2 0 2
2 0 2 0 1 0 1 2 1
1 2 1 2 0 2 0 1 0
0 1 0 1 2 1 2 0 2
2 0 2 0 1 0 1 2 1
1 2 1 2 0 2 0 1 0
0 2 1 0 2 1 0 2 1
1 0 2 1 0 2 1 0 2
0 2 1 0 2 1 0 2 1
1 0 2 1 0 2 1 0 2
2 1 0 2 1 0 2 1 0
1 0 2 1 0 2 1 0 2
2 1 0 2 1 0 2 1 0
0 2 1 0 2 1 0 2 1
2 1 0 2 1 0 2 1 0
0 2 0 2 1 2 1 0 1
1 0 1 0 2 0 2 1 2
2 1 2 1 0 1 0 2 0
0 2 0 2 1 2 1 0 1
1 0 1 0 2 0 2 1 2
2 1 2 1 0 1 0 2 0
0 2 0 2 1 2 1 0 1
1 0 1 0 2 0 2 1 2
2 1 2 1 0 1 0 2 0
0 1 2 0 1 2 0 1 2
2 0 1 2 0 1 2 0 1
0 1 2 0 1 2 0 1 2
2 0 1 2 0 1 2 0 1
1 2 0 1 2 0 1 2 0
2 0 1 2 0 1 2 0 1
1 2 0 1 2 0 1 2 0
0 1 2 0 1 2 0 1 2
1 2 0 1 2 0 1 2 0
0 1 0 2 0 2 1 2 1
2 0 2 1 2 1 0 1 0
1 2 1 0 1 0 2 0 2
0 1 0 2 0 2 1 2 1
2 0 2 1 2 1 0 1 0
1 2 1 0 1 0 2 0 2
0 1 0 2 0 2 1 2 1
2 0 2 1 2 1 0 1 0
1 2 1 0 1 0 2 0 2
0 2 1 0 2 1 0 2 1
1 0 2 1 0 2 1 0 2
0 2 1 0 2 1 0 2 1
2 1 0 2 1 0 2 1 0
0 2 1 0 2 1 0 2 1
2 1 0 2 1 0 2 1 0
1 0 2 1 0 2 1 0 2
2 1 0 2 1 0 2 1 0
1 0 2 1 0 2 1 0 2
0 2 0 1 0 1 2 1 2
1 0 1 2 1 2 0 2 0
2 1 2 0 2 0 1 0 1
0 2 0 1 0 1 2 1 2
1 0 1 2 1 2 0 2 0
2 1 2 0 2 0 1 0 1
0 2 0 1 0 1 2 1 2
1 0 1 2 1 2 0 2 0
2 1 2 0 2 0 1 0 1
0 1 2 0 1 2 0 1 2
2 0 1 2 0 1 2 0 1
0 1 2 0 1 2 0 1 2
1 2 0 1 2 0 1 2 0
0 1 2 0 1 2 0 1 2
1 2 0 1 2 0 1 2 0
2 0 1 2 0 1 2 0 1
1 2 0 1 2 0 1 2 0
2 0 1 2 0 1 2 0 1
2743
0 1 0
2 0 2
1 2 1
5299
0 2 1
0 2 1
0 2 1
5407
0 2 1
1 0 2
0 2 1
715
0 0 0
2 2 2
1 1 1
4667
0 2 0
1 0 1
2 1 2
3785
0 1 2
0 1 2
0 1 2
4163
0 1 2
2 0 1
0 1 2
377
0 0 0
1 1 1
2 2 2
LSC(2743,5299) LSC(5407,715) LSC(4667,3785) LSC(4163,377)
LSC(2777,5681) LSC(6185,5681) LSC(4795,4069) LSC(3619,4069)
2777
0 1 0
2 1 0
2 1 2
5681
0 2 1
2 1 0
1 0 2
6185
0 2 2
1 1 1
0 0 2
5681
0 2 1
2 1 0
1 0 2
4795
0 2 0
1 2 0
1 2 1
4069
0 1 2
1 2 0
2 0 1
3619
0 1 1
2 2 2
0 0 1
4069
0 1 2
1 2 0
2 0 1
0 1 0 2 0 2 1 2 1
2 1 0 1 0 2 0 2 1
2 1 2 1 0 1 0 2 0
2 0 2 1 2 1 0 1 0
1 0 2 0 2 1 2 1 0
1 0 1 0 2 0 2 1 2
1 2 1 0 1 0 2 0 2
0 2 1 2 1 0 1 0 2
0 2 0 2 1 2 1 0 1
0 2 2 2 1 1 1 0 0
1 1 1 0 0 0 2 2 2
0 0 2 2 2 1 1 1 0
2 1 1 1 0 0 0 2 2
0 0 0 2 2 2 1 1 1
2 2 1 1 1 0 0 0 2
1 0 0 0 2 2 2 1 1
2 2 2 1 1 1 0 0 0
1 1 0 0 0 2 2 2 1
0 2 0 1 0 1 2 1 2
1 2 0 2 0 1 0 1 2
1 2 1 2 0 2 0 1 0
1 0 1 2 1 2 0 2 0
2 0 1 0 1 2 1 2 0
2 0 2 0 1 0 1 2 1
2 1 2 0 2 0 1 0 1
0 1 2 1 2 0 2 0 1
0 1 0 1 2 1 2 0 2
0 1 1 1 2 2 2 0 0
2 2 2 0 0 0 1 1 1
0 0 1 1 1 2 2 2 0
1 2 2 2 0 0 0 1 1
0 0 0 1 1 1 2 2 2
1 1 2 2 2 0 0 0 1
2 0 0 0 1 1 1 2 2
1 1 1 2 2 2 0 0 0
2 2 0 0 0 1 1 1 2
LSC(2819,5421) LSC(5435,4173) LSC(4825,4173) LSC(4297,5421)
2819
0 1 0
2 1 2
1 0 2
5421
0 2 1
1 0 2
2 1 0
5435
0 2 1
1 1 0
0 2 2
4173
0 1 2
2 0 1
1 2 0
4825
0 2 0
1 2 1
2 0 1
4173
0 1 2
2 0 1
1 2 0
4297
0 1 2
2 2 0
0 1 1
5421
0 2 1
1 0 2
2 1 0
0 1 0 2 0 2 1 2 1
2 1 2 1 0 1 0 2 0
1 0 2 0 2 1 2 1 0
1 2 1 0 1 0 2 0 2
0 2 0 2 1 2 1 0 1
2 1 0 1 0 2 0 2 1
2 0 2 1 2 1 0 1 0
1 0 1 0 2 0 2 1 2
0 2 1 2 1 0 1 0 2
0 2 1 1 0 2 2 1 0
1 1 0 2 2 1 0 0 2
0 2 2 1 0 0 2 1 1
2 1 0 0 2 1 1 0 2
0 0 2 1 1 0 2 2 1
2 1 1 0 2 2 1 0 0
1 0 2 2 1 0 0 2 1
2 2 1 0 0 2 1 1 0
1 0 0 2 1 1 0 2 2
0 2 0 1 0 1 2 1 2
1 2 1 2 0 2 0 1 0
2 0 1 0 1 2 1 2 0
2 1 2 0 2 0 1 0 1
0 1 0 1 2 1 2 0 2
1 2 0 2 0 1 0 1 2
1 0 1 2 1 2 0 2 0
2 0 2 0 1 0 1 2 1
0 1 2 1 2 0 2 0 1
0 1 2 2 0 1 1 2 0
2 2 0 1 1 2 0 0 1
0 1 1 2 0 0 1 2 2
1 2 0 0 1 2 2 0 1
0 0 1 2 2 0 1 1 2
1 2 2 0 1 1 2 0 0
2 0 1 1 2 0 0 1 2
1 1 2 0 0 1 2 2 0
2 0 0 1 2 2 0 1 1
LSC(3320,4173) LSC(4040,5421) LSC(6520,5421) LSC(5800,4173)
3320
0 1 1
1 1 2
2 2 2
4173
0 1 2
2 0 1
1 2 0
4040
0 1 2
1 1 2
1 2 2
5421
0 2 1
1 0 2
2 1 0
6520
0 2 2
2 2 1
1 1 1
5421
0 2 1
1 0 2
2 1 0
5800
0 2 1
2 2 1
2 1 1
4173
0 1 2
2 0 1
1 2 0
0 1 1 1 2 2 2 0 0
1 1 2 2 2 0 0 0 1
2 2 2 0 0 0 1 1 1
2 0 0 0 1 1 1 2 2
0 0 1 1 1 2 2 2 0
1 1 1 2 2 2 0 0 0
1 2 2 2 0 0 0 1 1
2 2 0 0 0 1 1 1 2
0 0 0 1 1 1 2 2 2
0 1 2 2 0 1 1 2 0
1 1 2 0 0 1 2 2 0
1 2 2 0 1 1 2 0 0
1 2 0 0 1 2 2 0 1
2 2 0 1 1 2 0 0 1
2 0 0 1 2 2 0 1 1
2 0 1 1 2 0 0 1 2
0 0 1 2 2 0 1 1 2
0 1 1 2 0 0 1 2 2
0 2 2 2 1 1 1 0 0
2 2 1 1 1 0 0 0 2
1 1 1 0 0 0 2 2 2
1 0 0 0 2 2 2 1 1
0 0 2 2 2 1 1 1 0
2 2 2 1 1 1 0 0 0
2 1 1 1 0 0 0 2 2
1 1 0 0 0 2 2 2 1
0 0 0 2 2 2 1 1 1
0 2 1 1 0 2 2 1 0
2 2 1 0 0 2 1 1 0
2 1 1 0 2 2 1 0 0
2 1 0 0 2 1 1 0 2
1 1 0 2 2 1 0 0 2
1 0 0 2 1 1 0 2 2
1 0 2 2 1 0 0 2 1
0 0 2 1 1 0 2 2 1
0 2 2 1 0 0 2 1 1
LSC(3341,3785) LSC(4061,377) LSC(6409,5299) LSC(5689,715)
3341
0 1 1
1 2 0
2 0 2
3785
0 1 2
0 1 2
0 1 2
4061
0 1 2
1 2 0
1 0 2
377
0 0 0
1 1 1
2 2 2
6409
0 2 2
2 1 0
1 0 1
5299
0 2 1
0 2 1
0 2 1
5689
0 2 1
2 1 0
2 0 1
715
0 0 0
2 2 2
1 1 1
0 1 1 1 2 2 2 0 0
1 2 0 2 0 1 0 1 2
2 0 2 0 1 0 1 2 1
0 1 1 1 2 2 2 0 0
1 2 0 2 0 1 0 1 2
2 0 2 0 1 0 1 2 1
0 1 1 1 2 2 2 0 0
1 2 0 2 0 1 0 1 2
2 0 2 0 1 0 1 2 1
0 1 2 0 1 2 0 1 2
1 2 0 1 2 0 1 2 0
1 0 2 1 0 2 1 0 2
1 2 0 1 2 0 1 2 0
2 0 1 2 0 1 2 0 1
2 1 0 2 1 0 2 1 0
2 0 1 2 0 1 2 0 1
0 1 2 0 1 2 0 1 2
0 2 1 0 2 1 0 2 1
0 2 2 2 1 1 1 0 0
2 1 0 1 0 2 0 2 1
1 0 1 0 2 0 2 1 2
0 2 2 2 1 1 1 0 0
2 1 0 1 0 2 0 2 1
1 0 1 0 2 0 2 1 2
0 2 2 2 1 1 1 0 0
2 1 0 1 0 2 0 2 1
1 0 1 0 2 0 2 1 2
0 2 1 0 2 1 0 2 1
2 1 0 2 1 0 2 1 0
2 0 1 2 0 1 2 0 1
2 1 0 2 1 0 2 1 0
1 0 2 1 0 2 1 0 2
1 2 0 1 2 0 1 2 0
1 0 2 1 0 2 1 0 2
0 2 1 0 2 1 0 2 1
0 1 2 0 1 2 0 1 2
0 1 1 2 0 0 1 2 2
1 2 0 0 1 2 2 0 1
2 0 2 1 2 1 0 1 0
0 1 1 2 0 0 1 2 2
1 2 0 0 1 2 2 0 1
2 0 2 1 2 1 0 1 0
0 1 1 2 0 0 1 2 2
1 2 0 0 1 2 2 0 1
2 0 2 1 2 1 0 1 0
0 1 2 0 1 2 0 1 2
1 2 0 1 2 0 1 2 0
1 0 2 1 0 2 1 0 2
2 0 1 2 0 1 2 0 1
0 1 2 0 1 2 0 1 2
0 2 1 0 2 1 0 2 1
1 2 0 1 2 0 1 2 0
2 0 1 2 0 1 2 0 1
2 1 0 2 1 0 2 1 0
0 2 2 1 0 0 2 1 1
2 1 0 0 2 1 1 0 2
1 0 1 2 1 2 0 2 0
0 2 2 1 0 0 2 1 1
2 1 0 0 2 1 1 0 2
1 0 1 2 1 2 0 2 0
0 2 2 1 0 0 2 1 1
2 1 0 0 2 1 1 0 2
1 0 1 2 1 2 0 2 0
0 2 1 0 2 1 0 2 1
2 1 0 2 1 0 2 1 0
2 0 1 2 0 1 2 0 1
1 0 2 1 0 2 1 0 2
0 2 1 0 2 1 0 2 1
0 1 2 0 1 2 0 1 2
2 1 0 2 1 0 2 1 0
1 0 2 1 0 2 1 0 2
1 2 0 1 2 0 1 2 0
3341
0 1 1
1 2 0
2 0 2
5299
0 2 1
0 2 1
0 2 1
4061
0 1 2
1 2 0
1 0 2
715
0 0 0
2 2 2
1 1 1
6409
0 2 2
2 1 0
1 0 1
3785
0 1 2
0 1 2
0 1 2
5689
0 2 1
2 1 0
2 0 1
377
0 0 0
1 1 1
2 2 2
LSC(3341,5299) LSC(4061,715) LSC(6409,3785) LSC(5689,377)
LSC(3393,3785) LSC(4065,377) LSC(6435,5299) LSC(5691,715)
3393
0 1 1
1 2 2
2 0 0
3785
0 1 2
0 1 2
0 1 2
4065
0 1 2
1 2 0
1 2 0
377
0 0 0
1 1 1
2 2 2
6435
0 2 2
2 1 1
1 0 0
5299
0 2 1
0 2 1
0 2 1
5691
0 2 1
2 1 0
2 1 0
715
0 0 0
2 2 2
1 1 1
0 1 1 1 2 2 2 0 0
1 2 2 2 0 0 0 1 1
2 0 0 0 1 1 1 2 2
0 1 1 1 2 2 2 0 0
1 2 2 2 0 0 0 1 1
2 0 0 0 1 1 1 2 2
0 1 1 1 2 2 2 0 0
1 2 2 2 0 0 0 1 1
2 0 0 0 1 1 1 2 2
0 1 2 0 1 2 0 1 2
1 2 0 1 2 0 1 2 0
1 2 0 1 2 0 1 2 0
1 2 0 1 2 0 1 2 0
2 0 1 2 0 1 2 0 1
2 0 1 2 0 1 2 0 1
2 0 1 2 0 1 2 0 1
0 1 2 0 1 2 0 1 2
0 1 2 0 1 2 0 1 2
0 2 2 2 1 1 1 0 0
2 1 1 1 0 0 0 2 2
1 0 0 0 2 2 2 1 1
0 2 2 2 1 1 1 0 0
2 1 1 1 0 0 0 2 2
1 0 0 0 2 2 2 1 1
0 2 2 2 1 1 1 0 0
2 1 1 1 0 0 0 2 2
1 0 0 0 2 2 2 1 1
0 2 1 0 2 1 0 2 1
2 1 0 2 1 0 2 1 0
2 1 0 2 1 0 2 1 0
2 1 0 2 1 0 2 1 0
1 0 2 1 0 2 1 0 2
1 0 2 1 0 2 1 0 2
1 0 2 1 0 2 1 0 2
0 2 1 0 2 1 0 2 1
0 2 1 0 2 1 0 2 1
0 1 1 2 0 0 1 2 2
1 2 2 0 1 1 2 0 0
2 0 0 1 2 2 0 1 1
0 1 1 2 0 0 1 2 2
1 2 2 0 1 1 2 0 0
2 0 0 1 2 2 0 1 1
0 1 1 2 0 0 1 2 2
1 2 2 0 1 1 2 0 0
2 0 0 1 2 2 0 1 1
0 1 2 0 1 2 0 1 2
1 2 0 1 2 0 1 2 0
1 2 0 1 2 0 1 2 0
2 0 1 2 0 1 2 0 1
0 1 2 0 1 2 0 1 2
0 1 2 0 1 2 0 1 2
1 2 0 1 2 0 1 2 0
2 0 1 2 0 1 2 0 1
2 0 1 2 0 1 2 0 1
0 2 2 1 0 0 2 1 1
2 1 1 0 2 2 1 0 0
1 0 0 2 1 1 0 2 2
0 2 2 1 0 0 2 1 1
2 1 1 0 2 2 1 0 0
1 0 0 2 1 1 0 2 2
0 2 2 1 0 0 2 1 1
2 1 1 0 2 2 1 0 0
1 0 0 2 1 1 0 2 2
0 2 1 0 2 1 0 2 1
2 1 0 2 1 0 2 1 0
2 1 0 2 1 0 2 1 0
1 0 2 1 0 2 1 0 2
0 2 1 0 2 1 0 2 1
0 2 1 0 2 1 0 2 1
2 1 0 2 1 0 2 1 0
1 0 2 1 0 2 1 0 2
1 0 2 1 0 2 1 0 2
3393
0 1 1
1 2 2
2 0 0
5299
0 2 1
0 2 1
0 2 1
4065
0 1 2
1 2 0
1 2 0
715
0 0 0
2 2 2
1 1 1
6435
0 2 2
2 1 1
1 0 0
3785
0 1 2
0 1 2
0 1 2
5691
0 2 1
2 1 0
2 1 0
377
0 0 0
1 1 1
2 2 2
LSC(3393,5299) LSC(4065,715) LSC(6435,3785) LSC(5691,377)
LSC(3419,3785) LSC(5411,377) LSC(6097,5299) LSC(4177,715)
3419
0 1 1
2 0 0
1 2 2
3785
0 1 2
0 1 2
0 1 2
5411
0 2 1
1 0 2
1 0 2
377
0 0 0
1 1 1
2 2 2
6097
0 2 2
1 0 0
2 1 1
5299
0 2 1
0 2 1
0 2 1
4177
0 1 2
2 0 1
2 0 1
715
0 0 0
2 2 2
1 1 1
0 1 1 1 2 2 2 0 0
2 0 0 0 1 1 1 2 2
1 2 2 2 0 0 0 1 1
0 1 1 1 2 2 2 0 0
2 0 0 0 1 1 1 2 2
1 2 2 2 0 0 0 1 1
0 1 1 1 2 2 2 0 0
2 0 0 0 1 1 1 2 2
1 2 2 2 0 0 0 1 1
0 2 1 0 2 1 0 2 1
1 0 2 1 0 2 1 0 2
1 0 2 1 0 2 1 0 2
1 0 2 1 0 2 1 0 2
2 1 0 2 1 0 2 1 0
2 1 0 2 1 0 2 1 0
2 1 0 2 1 0 2 1 0
0 2 1 0 2 1 0 2 1
0 2 1 0 2 1 0 2 1
0 2 2 2 1 1 1 0 0
1 0 0 0 2 2 2 1 1
2 1 1 1 0 0 0 2 2
0 2 2 2 1 1 1 0 0
1 0 0 0 2 2 2 1 1
2 1 1 1 0 0 0 2 2
0 2 2 2 1 1 1 0 0
1 0 0 0 2 2 2 1 1
2 1 1 1 0 0 0 2 2
0 1 2 0 1 2 0 1 2
2 0 1 2 0 1 2 0 1
2 0 1 2 0 1 2 0 1
2 0 1 2 0 1 2 0 1
1 2 0 1 2 0 1 2 0
1 2 0 1 2 0 1 2 0
1 2 0 1 2 0 1 2 0
0 1 2 0 1 2 0 1 2
0 1 2 0 1 2 0 1 2
0 1 1 2 0 0 1 2 2
2 0 0 1 2 2 0 1 1
1 2 2 0 1 1 2 0 0
0 1 1 2 0 0 1 2 2
2 0 0 1 2 2 0 1 1
1 2 2 0 1 1 2 0 0
0 1 1 2 0 0 1 2 2
2 0 0 1 2 2 0 1 1
1 2 2 0 1 1 2 0 0
0 2 1 0 2 1 0 2 1
1 0 2 1 0 2 1 0 2
1 0 2 1 0 2 1 0 2
2 1 0 2 1 0 2 1 0
0 2 1 0 2 1 0 2 1
0 2 1 0 2 1 0 2 1
1 0 2 1 0 2 1 0 2
2 1 0 2 1 0 2 1 0
2 1 0 2 1 0 2 1 0
0 2 2 1 0 0 2 1 1
1 0 0 2 1 1 0 2 2
2 1 1 0 2 2 1 0 0
0 2 2 1 0 0 2 1 1
1 0 0 2 1 1 0 2 2
2 1 1 0 2 2 1 0 0
0 2 2 1 0 0 2 1 1
1 0 0 2 1 1 0 2 2
2 1 1 0 2 2 1 0 0
0 1 2 0 1 2 0 1 2
2 0 1 2 0 1 2 0 1
2 0 1 2 0 1 2 0 1
1 2 0 1 2 0 1 2 0
0 1 2 0 1 2 0 1 2
0 1 2 0 1 2 0 1 2
2 0 1 2 0 1 2 0 1
1 2 0 1 2 0 1 2 0
1 2 0 1 2 0 1 2 0
3419
0 1 1
2 0 0
1 2 2
5299
0 2 1
0 2 1
0 2 1
5411
0 2 1
1 0 2
1 0 2
715
0 0 0
2 2 2
1 1 1
6097
0 2 2
1 0 0
2 1 1
3785
0 1 2
0 1 2
0 1 2
4177
0 1 2
2 0 1
2 0 1
377
0 0 0
1 1 1
2 2 2
LSC(3419,5299) LSC(5411,715) LSC(6097,3785) LSC(4177,377)
LSC(3577,4173) LSC(5545,5421) LSC(6182,5421) LSC(4286,4173)
3577
0 1 1
2 2 0
1 1 1
4173
0 1 2
2 0 1
1 2 0
5545
0 2 1
1 2 1
1 0 1
5421
0 2 1
1 0 2
2 1 0
6182
0 2 2
1 1 0
2 2 2
5421
0 2 1
1 0 2
2 1 0
4286
0 1 2
2 1 2
2 0 2
4173
0 1 2
2 0 1
1 2 0
0 1 1 1 2 2 2 0 0
2 2 0 0 0 1 1 1 2
1 1 1 2 2 2 0 0 0
2 0 0 0 1 1 1 2 2
1 1 2 2 2 0 0 0 1
0 0 0 1 1 1 2 2 2
1 2 2 2 0 0 0 1 1
0 0 1 1 1 2 2 2 0
2 2 2 0 0 0 1 1 1
0 2 1 2 1 0 1 0 2
1 2 1 0 1 0 2 0 2
1 0 1 0 2 0 2 1 2
1 0 2 0 2 1 2 1 0
2 0 2 1 2 1 0 1 0
2 1 2 1 0 1 0 2 0
2 1 0 1 0 2 0 2 1
0 1 0 2 0 2 1 2 1
0 2 0 2 1 2 1 0 1
0 2 2 2 1 1 1 0 0
1 1 0 0 0 2 2 2 1
2 2 2 1 1 1 0 0 0
1 0 0 0 2 2 2 1 1
2 2 1 1 1 0 0 0 2
0 0 0 2 2 2 1 1 1
2 1 1 1 0 0 0 2 2
0 0 2 2 2 1 1 1 0
1 1 1 0 0 0 2 2 2
0 1 2 1 2 0 2 0 1
2 1 2 0 2 0 1 0 1
2 0 2 0 1 0 1 2 1
2 0 1 0 1 2 1 2 0
1 0 1 2 1 2 0 2 0
1 2 1 2 0 2 0 1 0
1 2 0 2 0 1 0 1 2
0 2 0 1 0 1 2 1 2
0 1 0 1 2 1 2 0 2
LSC(4069,377) LSC(4069,3785) LSC(5681,715) LSC(5681,5299)
4069
0 1 2
1 2 0
2 0 1
377
0 0 0
1 1 1
2 2 2
4069
0 1 2
1 2 0
2 0 1
3785
0 1 2
0 1 2
0 1 2
5681
0 2 1
2 1 0
1 0 2
715
0 0 0
2 2 2
1 1 1
5681
0 2 1
2 1 0
1 0 2
5299
0 2 1
0 2 1
0 2 1
0 1 2 0 1 2 0 1 2
1 2 0 1 2 0 1 2 0
2 0 1 2 0 1 2 0 1
1 2 0 1 2 0 1 2 0
2 0 1 2 0 1 2 0 1
0 1 2 0 1 2 0 1 2
2 0 1 2 0 1 2 0 1
0 1 2 0 1 2 0 1 2
1 2 0 1 2 0 1 2 0
0 1 2 1 2 0 2 0 1
1 2 0 2 0 1 0 1 2
2 0 1 0 1 2 1 2 0
0 1 2 1 2 0 2 0 1
1 2 0 2 0 1 0 1 2
2 0 1 0 1 2 1 2 0
0 1 2 1 2 0 2 0 1
1 2 0 2 0 1 0 1 2
2 0 1 0 1 2 1 2 0
0 2 1 0 2 1 0 2 1
2 1 0 2 1 0 2 1 0
1 0 2 1 0 2 1 0 2
2 1 0 2 1 0 2 1 0
1 0 2 1 0 2 1 0 2
0 2 1 0 2 1 0 2 1
1 0 2 1 0 2 1 0 2
0 2 1 0 2 1 0 2 1
2 1 0 2 1 0 2 1 0
0 2 1 2 1 0 1 0 2
2 1 0 1 0 2 0 2 1
1 0 2 0 2 1 2 1 0
0 2 1 2 1 0 1 0 2
2 1 0 1 0 2 0 2 1
1 0 2 0 2 1 2 1 0
0 2 1 2 1 0 1 0 2
2 1 0 1 0 2 0 2 1
1 0 2 0 2 1 2 1 0
0 1 2 0 1 2 0 1 2
1 2 0 1 2 0 1 2 0
2 0 1 2 0 1 2 0 1
2 0 1 2 0 1 2 0 1
0 1 2 0 1 2 0 1 2
1 2 0 1 2 0 1 2 0
1 2 0 1 2 0 1 2 0
2 0 1 2 0 1 2 0 1
0 1 2 0 1 2 0 1 2
0 1 2 2 0 1 1 2 0
1 2 0 0 1 2 2 0 1
2 0 1 1 2 0 0 1 2
0 1 2 2 0 1 1 2 0
1 2 0 0 1 2 2 0 1
2 0 1 1 2 0 0 1 2
0 1 2 2 0 1 1 2 0
1 2 0 0 1 2 2 0 1
2 0 1 1 2 0 0 1 2
0 2 1 0 2 1 0 2 1
2 1 0 2 1 0 2 1 0
1 0 2 1 0 2 1 0 2
1 0 2 1 0 2 1 0 2
0 2 1 0 2 1 0 2 1
2 1 0 2 1 0 2 1 0
2 1 0 2 1 0 2 1 0
1 0 2 1 0 2 1 0 2
0 2 1 0 2 1 0 2 1
0 2 1 1 0 2 2 1 0
2 1 0 0 2 1 1 0 2
1 0 2 2 1 0 0 2 1
0 2 1 1 0 2 2 1 0
2 1 0 0 2 1 1 0 2
1 0 2 2 1 0 0 2 1
0 2 1 1 0 2 2 1 0
2 1 0 0 2 1 1 0 2
1 0 2 2 1 0 0 2 1
4069
0 1 2
1 2 0
2 0 1
715
0 0 0
2 2 2
1 1 1
4069
0 1 2
1 2 0
2 0 1
5299
0 2 1
0 2 1
0 2 1
5681
0 2 1
2 1 0
1 0 2
377
0 0 0
1 1 1
2 2 2
5681
0 2 1
2 1 0
1 0 2
3785
0 1 2
0 1 2
0 1 2
LSC(4069,715) LSC(4069,5299) LSC(5681,377) LSC(5681,3785)
LSC(4145,5681) LSC(5393,5681) LSC(5371,4069) LSC(4195,4069)
4145
0 1 2
2 0 0
1 1 2
5681
0 2 1
2 1 0
1 0 2
5393
0 2 1
1 0 1
2 0 2
5681
0 2 1
2 1 0
1 0 2
5371
0 2 1
1 0 0
2 2 1
4069
0 1 2
1 2 0
2 0 1
4195
0 1 2
2 0 2
1 0 1
4069
0 1 2
1 2 0
2 0 1
0 1 2 2 0 1 1 2 0
2 0 0 1 2 2 0 1 1
1 1 2 0 0 1 2 2 0
2 0 1 1 2 0 0 1 2
1 2 2 0 1 1 2 0 0
0 0 1 2 2 0 1 1 2
1 2 0 0 1 2 2 0 1
0 1 1 2 0 0 1 2 2
2 2 0 1 1 2 0 0 1
0 2 1 2 1 0 1 0 2
1 0 1 0 2 0 2 1 2
2 0 2 1 2 1 0 1 0
2 1 0 1 0 2 0 2 1
0 2 0 2 1 2 1 0 1
1 2 1 0 1 0 2 0 2
1 0 2 0 2 1 2 1 0
2 1 2 1 0 1 0 2 0
0 1 0 2 0 2 1 2 1
0 2 1 1 0 2 2 1 0
1 0 0 2 1 1 0 2 2
2 2 1 0 0 2 1 1 0
1 0 2 2 1 0 0 2 1
2 1 1 0 2 2 1 0 0
0 0 2 1 1 0 2 2 1
2 1 0 0 2 1 1 0 2
0 2 2 1 0 0 2 1 1
1 1 0 2 2 1 0 0 2
0 1 2 1 2 0 2 0 1
2 0 2 0 1 0 1 2 1
1 0 1 2 1 2 0 2 0
1 2 0 2 0 1 0 1 2
0 1 0 1 2 1 2 0 2
2 1 2 0 2 0 1 0 1
2 0 1 0 1 2 1 2 0
1 2 1 2 0 2 0 1 0
0 2 0 1 0 1 2 1 2
LSC(4173,377) LSC(5421,377) LSC(5421,3785) LSC(4173,3785)
4173
0 1 2
2 0 1
1 2 0
377
0 0 0
1 1 1
2 2 2
5421
0 2 1
1 0 2
2 1 0
377
0 0 0
1 1 1
2 2 2
5421
0 2 1
1 0 2
2 1 0
3785
0 1 2
0 1 2
0 1 2
4173
0 1 2
2 0 1
1 2 0
3785
0 1 2
0 1 2
0 1 2
0 1 2 0 1 2 0 1 2
2 0 1 2 0 1 2 0 1
1 2 0 1 2 0 1 2 0
1 2 0 1 2 0 1 2 0
0 1 2 0 1 2 0 1 2
2 0 1 2 0 1 2 0 1
2 0 1 2 0 1 2 0 1
1 2 0 1 2 0 1 2 0
0 1 2 0 1 2 0 1 2
0 2 1 0 2 1 0 2 1
1 0 2 1 0 2 1 0 2
2 1 0 2 1 0 2 1 0
1 0 2 1 0 2 1 0 2
2 1 0 2 1 0 2 1 0
0 2 1 0 2 1 0 2 1
2 1 0 2 1 0 2 1 0
0 2 1 0 2 1 0 2 1
1 0 2 1 0 2 1 0 2
0 2 1 1 0 2 2 1 0
1 0 2 2 1 0 0 2 1
2 1 0 0 2 1 1 0 2
0 2 1 1 0 2 2 1 0
1 0 2 2 1 0 0 2 1
2 1 0 0 2 1 1 0 2
0 2 1 1 0 2 2 1 0
1 0 2 2 1 0 0 2 1
2 1 0 0 2 1 1 0 2
0 1 2 1 2 0 2 0 1
2 0 1 0 1 2 1 2 0
1 2 0 2 0 1 0 1 2
0 1 2 1 2 0 2 0 1
2 0 1 0 1 2 1 2 0
1 2 0 2 0 1 0 1 2
0 1 2 1 2 0 2 0 1
2 0 1 0 1 2 1 2 0
1 2 0 2 0 1 0 1 2
0 1 2 0 1 2 0 1 2
2 0 1 2 0 1 2 0 1
1 2 0 1 2 0 1 2 0
2 0 1 2 0 1 2 0 1
1 2 0 1 2 0 1 2 0
0 1 2 0 1 2 0 1 2
1 2 0 1 2 0 1 2 0
0 1 2 0 1 2 0 1 2
2 0 1 2 0 1 2 0 1
0 2 1 0 2 1 0 2 1
1 0 2 1 0 2 1 0 2
2 1 0 2 1 0 2 1 0
2 1 0 2 1 0 2 1 0
0 2 1 0 2 1 0 2 1
1 0 2 1 0 2 1 0 2
1 0 2 1 0 2 1 0 2
2 1 0 2 1 0 2 1 0
0 2 1 0 2 1 0 2 1
0 2 1 2 1 0 1 0 2
1 0 2 0 2 1 2 1 0
2 1 0 1 0 2 0 2 1
0 2 1 2 1 0 1 0 2
1 0 2 0 2 1 2 1 0
2 1 0 1 0 2 0 2 1
0 2 1 2 1 0 1 0 2
1 0 2 0 2 1 2 1 0
2 1 0 1 0 2 0 2 1
0 1 2 2 0 1 1 2 0
2 0 1 1 2 0 0 1 2
1 2 0 0 1 2 2 0 1
0 1 2 2 0 1 1 2 0
2 0 1 1 2 0 0 1 2
1 2 0 0 1 2 2 0 1
0 1 2 2 0 1 1 2 0
2 0 1 1 2 0 0 1 2
1 2 0 0 1 2 2 0 1
4173
0 1 2
2 0 1
1 2 0
715
0 0 0
2 2 2
1 1 1
5421
0 2 1
1 0 2
2 1 0
715
0 0 0
2 2 2
1 1 1
5421
0 2 1
1 0 2
2 1 0
5299
0 2 1
0 2 1
0 2 1
4173
0 1 2
2 0 1
1 2 0
5299
0 2 1
0 2 1
0 2 1
LSC(4173,715) LSC(5421,715) LSC(5421,5299) LSC(4173,5299)