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)