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Identifier
Values
=>
Cc0005;cc-rep
[1,0]=>2 [1,0,1,0]=>3 [1,1,0,0]=>3 [1,0,1,0,1,0]=>4 [1,0,1,1,0,0]=>3 [1,1,0,0,1,0]=>3 [1,1,0,1,0,0]=>3 [1,1,1,0,0,0]=>4 [1,0,1,0,1,0,1,0]=>5 [1,0,1,0,1,1,0,0]=>4 [1,0,1,1,0,0,1,0]=>4 [1,0,1,1,0,1,0,0]=>4 [1,0,1,1,1,0,0,0]=>4 [1,1,0,0,1,0,1,0]=>4 [1,1,0,0,1,1,0,0]=>3 [1,1,0,1,0,0,1,0]=>4 [1,1,0,1,0,1,0,0]=>5 [1,1,0,1,1,0,0,0]=>3 [1,1,1,0,0,0,1,0]=>3 [1,1,1,0,0,1,0,0]=>3 [1,1,1,0,1,0,0,0]=>3 [1,1,1,1,0,0,0,0]=>5 [1,0,1,0,1,0,1,0,1,0]=>6 [1,0,1,0,1,0,1,1,0,0]=>5 [1,0,1,0,1,1,0,0,1,0]=>5 [1,0,1,0,1,1,0,1,0,0]=>5 [1,0,1,0,1,1,1,0,0,0]=>5 [1,0,1,1,0,0,1,0,1,0]=>5 [1,0,1,1,0,0,1,1,0,0]=>4 [1,0,1,1,0,1,0,0,1,0]=>5 [1,0,1,1,0,1,0,1,0,0]=>6 [1,0,1,1,0,1,1,0,0,0]=>4 [1,0,1,1,1,0,0,0,1,0]=>4 [1,0,1,1,1,0,0,1,0,0]=>4 [1,0,1,1,1,0,1,0,0,0]=>4 [1,0,1,1,1,1,0,0,0,0]=>5 [1,1,0,0,1,0,1,0,1,0]=>5 [1,1,0,0,1,0,1,1,0,0]=>4 [1,1,0,0,1,1,0,0,1,0]=>4 [1,1,0,0,1,1,0,1,0,0]=>4 [1,1,0,0,1,1,1,0,0,0]=>4 [1,1,0,1,0,0,1,0,1,0]=>5 [1,1,0,1,0,0,1,1,0,0]=>4 [1,1,0,1,0,1,0,0,1,0]=>5 [1,1,0,1,0,1,0,1,0,0]=>6 [1,1,0,1,0,1,1,0,0,0]=>4 [1,1,0,1,1,0,0,0,1,0]=>4 [1,1,0,1,1,0,0,1,0,0]=>4 [1,1,0,1,1,0,1,0,0,0]=>4 [1,1,0,1,1,1,0,0,0,0]=>4 [1,1,1,0,0,0,1,0,1,0]=>4 [1,1,1,0,0,0,1,1,0,0]=>3 [1,1,1,0,0,1,0,0,1,0]=>4 [1,1,1,0,0,1,0,1,0,0]=>5 [1,1,1,0,0,1,1,0,0,0]=>3 [1,1,1,0,1,0,0,0,1,0]=>4 [1,1,1,0,1,0,0,1,0,0]=>5 [1,1,1,0,1,0,1,0,0,0]=>5 [1,1,1,0,1,1,0,0,0,0]=>3 [1,1,1,1,0,0,0,0,1,0]=>3 [1,1,1,1,0,0,0,1,0,0]=>3 [1,1,1,1,0,0,1,0,0,0]=>3 [1,1,1,1,0,1,0,0,0,0]=>3 [1,1,1,1,1,0,0,0,0,0]=>6 [1,0,1,0,1,0,1,0,1,0,1,0]=>7 [1,0,1,0,1,0,1,0,1,1,0,0]=>6 [1,0,1,0,1,0,1,1,0,0,1,0]=>6 [1,0,1,0,1,0,1,1,0,1,0,0]=>6 [1,0,1,0,1,0,1,1,1,0,0,0]=>6 [1,0,1,0,1,1,0,0,1,0,1,0]=>6 [1,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,0,1,0,1,1,0,1,0,0,1,0]=>6 [1,0,1,0,1,1,0,1,0,1,0,0]=>7 [1,0,1,0,1,1,0,1,1,0,0,0]=>5 [1,0,1,0,1,1,1,0,0,0,1,0]=>5 [1,0,1,0,1,1,1,0,0,1,0,0]=>5 [1,0,1,0,1,1,1,0,1,0,0,0]=>5 [1,0,1,0,1,1,1,1,0,0,0,0]=>6 [1,0,1,1,0,0,1,0,1,0,1,0]=>6 [1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,0,1,1,0,0,1,1,0,0,1,0]=>5 [1,0,1,1,0,0,1,1,0,1,0,0]=>5 [1,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,0,1,1,0,1,0,0,1,0,1,0]=>6 [1,0,1,1,0,1,0,0,1,1,0,0]=>5 [1,0,1,1,0,1,0,1,0,0,1,0]=>6 [1,0,1,1,0,1,0,1,0,1,0,0]=>6 [1,0,1,1,0,1,0,1,1,0,0,0]=>5 [1,0,1,1,0,1,1,0,0,0,1,0]=>5 [1,0,1,1,0,1,1,0,0,1,0,0]=>5 [1,0,1,1,0,1,1,0,1,0,0,0]=>5 [1,0,1,1,0,1,1,1,0,0,0,0]=>5 [1,0,1,1,1,0,0,0,1,0,1,0]=>5 [1,0,1,1,1,0,0,0,1,1,0,0]=>4 [1,0,1,1,1,0,0,1,0,0,1,0]=>5 [1,0,1,1,1,0,0,1,0,1,0,0]=>6 [1,0,1,1,1,0,0,1,1,0,0,0]=>4 [1,0,1,1,1,0,1,0,0,0,1,0]=>5 [1,0,1,1,1,0,1,0,0,1,0,0]=>6 [1,0,1,1,1,0,1,0,1,0,0,0]=>6 [1,0,1,1,1,0,1,1,0,0,0,0]=>4 [1,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,0,1,1,1,1,0,0,0,1,0,0]=>4 [1,0,1,1,1,1,0,0,1,0,0,0]=>4 [1,0,1,1,1,1,0,1,0,0,0,0]=>4 [1,0,1,1,1,1,1,0,0,0,0,0]=>6 [1,1,0,0,1,0,1,0,1,0,1,0]=>6 [1,1,0,0,1,0,1,0,1,1,0,0]=>5 [1,1,0,0,1,0,1,1,0,0,1,0]=>5 [1,1,0,0,1,0,1,1,0,1,0,0]=>5 [1,1,0,0,1,0,1,1,1,0,0,0]=>5 [1,1,0,0,1,1,0,0,1,0,1,0]=>5 [1,1,0,0,1,1,0,0,1,1,0,0]=>4 [1,1,0,0,1,1,0,1,0,0,1,0]=>5 [1,1,0,0,1,1,0,1,0,1,0,0]=>6 [1,1,0,0,1,1,0,1,1,0,0,0]=>4 [1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,1,0,0,1,1,1,0,0,1,0,0]=>4 [1,1,0,0,1,1,1,0,1,0,0,0]=>4 [1,1,0,0,1,1,1,1,0,0,0,0]=>5 [1,1,0,1,0,0,1,0,1,0,1,0]=>6 [1,1,0,1,0,0,1,0,1,1,0,0]=>5 [1,1,0,1,0,0,1,1,0,0,1,0]=>5 [1,1,0,1,0,0,1,1,0,1,0,0]=>5 [1,1,0,1,0,0,1,1,1,0,0,0]=>5 [1,1,0,1,0,1,0,0,1,0,1,0]=>6 [1,1,0,1,0,1,0,0,1,1,0,0]=>5 [1,1,0,1,0,1,0,1,0,0,1,0]=>6 [1,1,0,1,0,1,0,1,0,1,0,0]=>6 [1,1,0,1,0,1,0,1,1,0,0,0]=>5 [1,1,0,1,0,1,1,0,0,0,1,0]=>5 [1,1,0,1,0,1,1,0,0,1,0,0]=>5 [1,1,0,1,0,1,1,0,1,0,0,0]=>5 [1,1,0,1,0,1,1,1,0,0,0,0]=>5 [1,1,0,1,1,0,0,0,1,0,1,0]=>5 [1,1,0,1,1,0,0,0,1,1,0,0]=>4 [1,1,0,1,1,0,0,1,0,0,1,0]=>5 [1,1,0,1,1,0,0,1,0,1,0,0]=>6 [1,1,0,1,1,0,0,1,1,0,0,0]=>4 [1,1,0,1,1,0,1,0,0,0,1,0]=>5 [1,1,0,1,1,0,1,0,0,1,0,0]=>6 [1,1,0,1,1,0,1,0,1,0,0,0]=>6 [1,1,0,1,1,0,1,1,0,0,0,0]=>4 [1,1,0,1,1,1,0,0,0,0,1,0]=>4 [1,1,0,1,1,1,0,0,0,1,0,0]=>4 [1,1,0,1,1,1,0,0,1,0,0,0]=>4 [1,1,0,1,1,1,0,1,0,0,0,0]=>4 [1,1,0,1,1,1,1,0,0,0,0,0]=>5 [1,1,1,0,0,0,1,0,1,0,1,0]=>5 [1,1,1,0,0,0,1,0,1,1,0,0]=>4 [1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,1,1,0,0,0,1,1,0,1,0,0]=>4 [1,1,1,0,0,0,1,1,1,0,0,0]=>4 [1,1,1,0,0,1,0,0,1,0,1,0]=>5 [1,1,1,0,0,1,0,0,1,1,0,0]=>4 [1,1,1,0,0,1,0,1,0,0,1,0]=>5 [1,1,1,0,0,1,0,1,0,1,0,0]=>6 [1,1,1,0,0,1,0,1,1,0,0,0]=>4 [1,1,1,0,0,1,1,0,0,0,1,0]=>4 [1,1,1,0,0,1,1,0,0,1,0,0]=>4 [1,1,1,0,0,1,1,0,1,0,0,0]=>4 [1,1,1,0,0,1,1,1,0,0,0,0]=>4 [1,1,1,0,1,0,0,0,1,0,1,0]=>5 [1,1,1,0,1,0,0,0,1,1,0,0]=>4 [1,1,1,0,1,0,0,1,0,0,1,0]=>5 [1,1,1,0,1,0,0,1,0,1,0,0]=>6 [1,1,1,0,1,0,0,1,1,0,0,0]=>4 [1,1,1,0,1,0,1,0,0,0,1,0]=>5 [1,1,1,0,1,0,1,0,0,1,0,0]=>6 [1,1,1,0,1,0,1,0,1,0,0,0]=>7 [1,1,1,0,1,0,1,1,0,0,0,0]=>4 [1,1,1,0,1,1,0,0,0,0,1,0]=>4 [1,1,1,0,1,1,0,0,0,1,0,0]=>4 [1,1,1,0,1,1,0,0,1,0,0,0]=>4 [1,1,1,0,1,1,0,1,0,0,0,0]=>4 [1,1,1,0,1,1,1,0,0,0,0,0]=>4 [1,1,1,1,0,0,0,0,1,0,1,0]=>4 [1,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,1,1,1,0,0,0,1,0,0,1,0]=>4 [1,1,1,1,0,0,0,1,0,1,0,0]=>5 [1,1,1,1,0,0,0,1,1,0,0,0]=>3 [1,1,1,1,0,0,1,0,0,0,1,0]=>4 [1,1,1,1,0,0,1,0,0,1,0,0]=>5 [1,1,1,1,0,0,1,0,1,0,0,0]=>5 [1,1,1,1,0,0,1,1,0,0,0,0]=>3 [1,1,1,1,0,1,0,0,0,0,1,0]=>4 [1,1,1,1,0,1,0,0,0,1,0,0]=>5 [1,1,1,1,0,1,0,0,1,0,0,0]=>5 [1,1,1,1,0,1,0,1,0,0,0,0]=>5 [1,1,1,1,0,1,1,0,0,0,0,0]=>3 [1,1,1,1,1,0,0,0,0,0,1,0]=>3 [1,1,1,1,1,0,0,0,0,1,0,0]=>3 [1,1,1,1,1,0,0,0,1,0,0,0]=>3 [1,1,1,1,1,0,0,1,0,0,0,0]=>3 [1,1,1,1,1,0,1,0,0,0,0,0]=>3 [1,1,1,1,1,1,0,0,0,0,0,0]=>7 [1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>8 [1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>7 [1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>7 [1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>7 [1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>7 [1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>7 [1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>6 [1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>7 [1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>8 [1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>6 [1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>6 [1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>6 [1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>6 [1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>7 [1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>7 [1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>6 [1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>6 [1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>6 [1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>7 [1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>6 [1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>7 [1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>7 [1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>6 [1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>6 [1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>6 [1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>6 [1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>6 [1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>6 [1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>6 [1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>7 [1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>5 [1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>6 [1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>7 [1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>7 [1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>5 [1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>5 [1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>5 [1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>5 [1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>5 [1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>7 [1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>7 [1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>6 [1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>6 [1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>6 [1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>6 [1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>7 [1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>5 [1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>5 [1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>5 [1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>5 [1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>6 [1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>7 [1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>6 [1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>6 [1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>6 [1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>6 [1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>7 [1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>6 [1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>7 [1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>7 [1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>6 [1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>6 [1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>6 [1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>6 [1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>6 [1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>6 [1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>5 [1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>6 [1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>7 [1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>5 [1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>6 [1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>7 [1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>7 [1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>5 [1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>5 [1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>5 [1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>5 [1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>5 [1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>6 [1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>6 [1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>5 [1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>5 [1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>5 [1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>6 [1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>5 [1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>6 [1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>7 [1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>5 [1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>5 [1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>5 [1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>5 [1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>5 [1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>6 [1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>5 [1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>6 [1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>7 [1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>5 [1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>6 [1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>6 [1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>7 [1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>5 [1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>5 [1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>5 [1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>5 [1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>5 [1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>5 [1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>5 [1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>4 [1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>5 [1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>6 [1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>4 [1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>5 [1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>6 [1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>6 [1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>4 [1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>5 [1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>6 [1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>6 [1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>6 [1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>4 [1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>4 [1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>4 [1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4 [1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>4 [1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>7 [1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>7 [1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>6 [1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>6 [1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>6 [1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>6 [1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>6 [1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>6 [1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>7 [1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>5 [1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>5 [1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>5 [1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>5 [1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>6 [1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>6 [1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>5 [1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>5 [1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>6 [1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>5 [1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>6 [1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>6 [1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>5 [1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>5 [1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>5 [1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>5 [1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>5 [1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>5 [1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>4 [1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>5 [1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>6 [1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>4 [1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>5 [1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>6 [1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>6 [1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>4 [1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>4 [1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>4 [1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>4 [1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>6 [1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>7 [1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>6 [1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>6 [1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>6 [1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>6 [1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>6 [1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>7 [1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>5 [1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>5 [1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>5 [1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>5 [1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>6 [1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>7 [1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>6 [1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>6 [1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>6 [1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>6 [1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>7 [1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>6 [1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>7 [1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>8 [1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>6 [1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>6 [1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>6 [1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>6 [1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>6 [1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>6 [1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>5 [1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>6 [1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>7 [1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>5 [1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>6 [1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>7 [1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>7 [1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>5 [1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>5 [1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>5 [1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>5 [1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>5 [1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>6 [1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>6 [1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>5 [1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>5 [1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>5 [1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>5 [1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>6 [1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>5 [1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>6 [1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>6 [1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>5 [1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>5 [1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>5 [1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>5 [1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>5 [1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>6 [1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>5 [1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>6 [1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>6 [1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>5 [1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>6 [1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>7 [1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>7 [1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>5 [1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>5 [1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>5 [1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>5 [1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>5 [1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>5 [1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>5 [1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>4 [1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>5 [1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>6 [1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>4 [1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>5 [1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>6 [1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>6 [1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>4 [1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>5 [1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>6 [1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>6 [1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>6 [1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>4 [1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>4 [1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>4 [1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>4 [1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>4 [1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>4 [1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>6 [1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>5 [1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>5 [1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>5 [1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>5 [1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>5 [1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>4 [1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>5 [1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>6 [1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>4 [1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>4 [1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>4 [1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>4 [1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>5 [1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>6 [1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>5 [1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>5 [1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>5 [1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>5 [1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>6 [1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>5 [1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>6 [1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>6 [1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>5 [1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>5 [1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>5 [1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>5 [1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>5 [1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>5 [1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>4 [1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>5 [1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>6 [1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>4 [1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>5 [1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>6 [1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>6 [1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>4 [1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>4 [1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>4 [1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>4 [1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>4 [1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>5 [1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>6 [1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>5 [1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>5 [1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>5 [1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>5 [1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>6 [1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>5 [1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>6 [1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>6 [1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>5 [1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>5 [1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>5 [1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>5 [1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>5 [1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>6 [1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>5 [1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>6 [1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>6 [1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>5 [1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>6 [1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>6 [1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>8 [1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>5 [1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>5 [1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>5 [1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>5 [1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>5 [1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>5 [1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>5 [1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>4 [1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>5 [1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>6 [1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>4 [1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>5 [1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>6 [1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>6 [1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>4 [1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>5 [1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>6 [1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>6 [1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>6 [1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>4 [1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>4 [1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>4 [1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>4 [1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>4 [1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>4 [1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>5 [1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>5 [1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>4 [1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>4 [1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>4 [1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>5 [1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>4 [1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>5 [1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>6 [1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>4 [1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>4 [1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>4 [1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>4 [1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>4 [1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>5 [1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>4 [1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>5 [1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>6 [1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>4 [1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>5 [1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>6 [1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>7 [1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>4 [1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>4 [1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>4 [1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>4 [1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>4 [1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>4 [1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>5 [1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>4 [1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>5 [1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>6 [1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>4 [1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>5 [1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>6 [1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>7 [1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>4 [1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>5 [1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>6 [1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>7 [1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>7 [1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>4 [1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>4 [1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>4 [1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>4 [1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>4 [1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>4 [1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>4 [1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>4 [1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>4 [1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>5 [1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>3 [1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>4 [1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>5 [1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>5 [1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>3 [1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>4 [1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>5 [1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>5 [1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>5 [1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>3 [1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>4 [1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>5 [1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>5 [1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>5 [1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>5 [1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>3 [1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>3 [1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>3 [1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>3 [1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>3 [1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>3 [1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>8
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Description
The number of indecomposable injective modules that are pure in the linear Nakayama algebra corresponding to a Dyck path.
The correspondence between linear Nakayama algebras and Dyck paths is explained on the Nakayama algebras page.
References
[1] https://www.sciencedirect.com/science/article/pii/S0022404999000493
Code
gap('LoadPackage("QPA");')

import tempfile as _tf, os as _os

# For an Auslander regular ring A with global dimension d:
#   grade(M) = min{i >= 0 : Ext^i(M, A) != 0}
#   delta(M) = d - grade(M)
#   M is pure if delta(N) = delta(M) for all non-zero submodules N
# For Nakayama algebras (uniserial), submodules of M form a chain:
#   the submodules of I are obtainable via iterated radicals.
_gap_code = r"""
DeclareOperation("gradeofmodule_1983",[IsList]);

InstallMethod(gradeofmodule_1983, "for a representation of a quiver", [IsList],0,function(LIST)
    local A, M, RegA, g, i, temmi, UT;
    A := LIST[1];
    M := LIST[2];
    RegA := DirectSumOfQPAModules(IndecProjectiveModules(A));
    g := GlobalDimensionOfAlgebra(A, 100);
    if g = infinity then g := 100; fi;
    temmi := [Size(HomOverAlgebra(M, RegA))];
    for i in [0..g-1] do
        Append(temmi, [Size(ExtOverAlgebra(NthSyzygy(M, i), RegA)[2])]);
    od;
    UT := Filtered([0..g], x -> temmi[x+1] > 0);
    if Length(UT) = 0 then
        return g + 1;
    fi;
    return Minimum(UT);
end);

DeclareOperation("ispuremodule_1983",[IsList]);

InstallMethod(ispuremodule_1983, "for a representation of a quiver", [IsList],0,function(LIST)
    local A, M, g_M, d, N, g_N, radN;
    A := LIST[1];
    M := LIST[2];
    d := GlobalDimensionOfAlgebra(A, 100);
    if d = infinity then d := 100; fi;
    g_M := gradeofmodule_1983([A, M]);

    # Check all non-zero submodules (radical series for uniserial modules)
    N := M;
    while true do
        radN := RadicalOfModule(N);
        if Dimension(radN) = 0 then
            break;
        fi;
        N := radN;
        g_N := gradeofmodule_1983([A, N]);
        if g_N <> g_M then
            return false;
        fi;
    od;
    return true;
end);

DeclareOperation("numberindecinjectivepuremodulesnak_1983",[IsList]);

InstallMethod(numberindecinjectivepuremodulesnak_1983, "for a representation of a quiver", [IsList],0,function(LIST)
    local A, injA, W;
    A := LIST[1];
    injA := IndecInjectiveModules(A);
    W := Filtered(injA, x -> ispuremodule_1983([A, x]) = true);
    return Size(W);
end);
"""

with _tf.NamedTemporaryFile(mode="w", suffix=".g", delete=False, dir="/tmp") as _f:
    _f.write('LoadPackage("QPA");;\n')
    _f.write(_gap_code)
    _tmp = _f.name
gap.eval('Read("' + _tmp + '");')
_os.unlink(_tmp)

def kupisch(D):
    DR = D.reverse()
    H = DR.heights()
    return [1 + H[i] for i, s in enumerate(DR) if s == 0] + [1]

def statistic(D):
    K = kupisch(D)
    A = gap.NakayamaAlgebra(gap.GF(3), K)
    return ZZ(gap.numberindecinjectivepuremodulesnak_1983([A]))
Created
Oct 02, 2025 at 16:48 by Rene Marczinzik
Updated
Mar 13, 2026 at 14:51 by Nupur Jain