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Identifier
Values
=>
Cc0017;cc-rep
[[1,0],[0,1]]=>2 [[0,1],[1,0]]=>0 [[1,0,0],[0,1,0],[0,0,1]]=>8 [[0,1,0],[1,0,0],[0,0,1]]=>6 [[1,0,0],[0,0,1],[0,1,0]]=>4 [[0,1,0],[1,-1,1],[0,1,0]]=>5 [[0,0,1],[1,0,0],[0,1,0]]=>2 [[0,1,0],[0,0,1],[1,0,0]]=>3 [[0,0,1],[0,1,0],[1,0,0]]=>0 [[1,0,0,0],[0,1,0,0],[0,0,1,0],[0,0,0,1]]=>20 [[0,1,0,0],[1,0,0,0],[0,0,1,0],[0,0,0,1]]=>18 [[1,0,0,0],[0,0,1,0],[0,1,0,0],[0,0,0,1]]=>16 [[0,1,0,0],[1,-1,1,0],[0,1,0,0],[0,0,0,1]]=>17 [[0,0,1,0],[1,0,0,0],[0,1,0,0],[0,0,0,1]]=>14 [[0,1,0,0],[0,0,1,0],[1,0,0,0],[0,0,0,1]]=>15 [[0,0,1,0],[0,1,0,0],[1,0,0,0],[0,0,0,1]]=>12 [[1,0,0,0],[0,1,0,0],[0,0,0,1],[0,0,1,0]]=>14 [[0,1,0,0],[1,0,0,0],[0,0,0,1],[0,0,1,0]]=>12 [[1,0,0,0],[0,0,1,0],[0,1,-1,1],[0,0,1,0]]=>15 [[0,1,0,0],[1,-1,1,0],[0,1,-1,1],[0,0,1,0]]=>16 [[0,0,1,0],[1,0,0,0],[0,1,-1,1],[0,0,1,0]]=>13 [[0,1,0,0],[0,0,1,0],[1,0,-1,1],[0,0,1,0]]=>14 [[0,0,1,0],[0,1,0,0],[1,0,-1,1],[0,0,1,0]]=>11 [[1,0,0,0],[0,0,0,1],[0,1,0,0],[0,0,1,0]]=>10 [[0,1,0,0],[1,-1,0,1],[0,1,0,0],[0,0,1,0]]=>11 [[0,0,1,0],[1,0,-1,1],[0,1,0,0],[0,0,1,0]]=>12 [[0,0,0,1],[1,0,0,0],[0,1,0,0],[0,0,1,0]]=>8 [[0,1,0,0],[0,0,0,1],[1,0,0,0],[0,0,1,0]]=>9 [[0,0,1,0],[0,1,-1,1],[1,0,0,0],[0,0,1,0]]=>10 [[0,0,0,1],[0,1,0,0],[1,0,0,0],[0,0,1,0]]=>6 [[1,0,0,0],[0,0,1,0],[0,0,0,1],[0,1,0,0]]=>11 [[0,1,0,0],[1,-1,1,0],[0,0,0,1],[0,1,0,0]]=>12 [[0,0,1,0],[1,0,0,0],[0,0,0,1],[0,1,0,0]]=>9 [[0,1,0,0],[0,0,1,0],[1,-1,0,1],[0,1,0,0]]=>13 [[0,0,1,0],[0,1,0,0],[1,-1,0,1],[0,1,0,0]]=>10 [[1,0,0,0],[0,0,0,1],[0,0,1,0],[0,1,0,0]]=>6 [[0,1,0,0],[1,-1,0,1],[0,0,1,0],[0,1,0,0]]=>7 [[0,0,1,0],[1,0,-1,1],[0,0,1,0],[0,1,0,0]]=>8 [[0,0,0,1],[1,0,0,0],[0,0,1,0],[0,1,0,0]]=>4 [[0,1,0,0],[0,0,0,1],[1,-1,1,0],[0,1,0,0]]=>8 [[0,0,1,0],[0,1,-1,1],[1,-1,1,0],[0,1,0,0]]=>9 [[0,0,0,1],[0,1,0,0],[1,-1,1,0],[0,1,0,0]]=>5 [[0,0,1,0],[0,0,0,1],[1,0,0,0],[0,1,0,0]]=>6 [[0,0,0,1],[0,0,1,0],[1,0,0,0],[0,1,0,0]]=>2 [[0,1,0,0],[0,0,1,0],[0,0,0,1],[1,0,0,0]]=>11 [[0,0,1,0],[0,1,0,0],[0,0,0,1],[1,0,0,0]]=>8 [[0,1,0,0],[0,0,0,1],[0,0,1,0],[1,0,0,0]]=>6 [[0,0,1,0],[0,1,-1,1],[0,0,1,0],[1,0,0,0]]=>7 [[0,0,0,1],[0,1,0,0],[0,0,1,0],[1,0,0,0]]=>3 [[0,0,1,0],[0,0,0,1],[0,1,0,0],[1,0,0,0]]=>4 [[0,0,0,1],[0,0,1,0],[0,1,0,0],[1,0,0,0]]=>0 [[1,0,0,0,0],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[0,0,0,0,1]]=>40 [[0,1,0,0,0],[1,0,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[0,0,0,0,1]]=>38 [[1,0,0,0,0],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0],[0,0,0,0,1]]=>36 [[0,1,0,0,0],[1,-1,1,0,0],[0,1,0,0,0],[0,0,0,1,0],[0,0,0,0,1]]=>37 [[0,0,1,0,0],[1,0,0,0,0],[0,1,0,0,0],[0,0,0,1,0],[0,0,0,0,1]]=>34 [[0,1,0,0,0],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,0,0,0,1]]=>35 [[0,0,1,0,0],[0,1,0,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,0,0,0,1]]=>32 [[1,0,0,0,0],[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[0,0,0,0,1]]=>34 [[0,1,0,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[0,0,0,0,1]]=>32 [[1,0,0,0,0],[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0],[0,0,0,0,1]]=>35 [[0,1,0,0,0],[1,-1,1,0,0],[0,1,-1,1,0],[0,0,1,0,0],[0,0,0,0,1]]=>36 [[0,0,1,0,0],[1,0,0,0,0],[0,1,-1,1,0],[0,0,1,0,0],[0,0,0,0,1]]=>33 [[0,1,0,0,0],[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,0,0],[0,0,0,0,1]]=>34 [[0,0,1,0,0],[0,1,0,0,0],[1,0,-1,1,0],[0,0,1,0,0],[0,0,0,0,1]]=>31 [[1,0,0,0,0],[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,0,1]]=>30 [[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,0,1]]=>31 [[0,0,1,0,0],[1,0,-1,1,0],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,0,1]]=>32 [[0,0,0,1,0],[1,0,0,0,0],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,0,1]]=>28 [[0,1,0,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,0,1,0,0],[0,0,0,0,1]]=>29 [[0,0,1,0,0],[0,1,-1,1,0],[1,0,0,0,0],[0,0,1,0,0],[0,0,0,0,1]]=>30 [[0,0,0,1,0],[0,1,0,0,0],[1,0,0,0,0],[0,0,1,0,0],[0,0,0,0,1]]=>26 [[1,0,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0],[0,0,0,0,1]]=>31 [[0,1,0,0,0],[1,-1,1,0,0],[0,0,0,1,0],[0,1,0,0,0],[0,0,0,0,1]]=>32 [[0,0,1,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,1,0,0,0],[0,0,0,0,1]]=>29 [[0,1,0,0,0],[0,0,1,0,0],[1,-1,0,1,0],[0,1,0,0,0],[0,0,0,0,1]]=>33 [[0,0,1,0,0],[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,0,0],[0,0,0,0,1]]=>30 [[1,0,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1]]=>26 [[0,1,0,0,0],[1,-1,0,1,0],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1]]=>27 [[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1]]=>28 [[0,0,0,1,0],[1,0,0,0,0],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1]]=>24 [[0,1,0,0,0],[0,0,0,1,0],[1,-1,1,0,0],[0,1,0,0,0],[0,0,0,0,1]]=>28 [[0,0,1,0,0],[0,1,-1,1,0],[1,-1,1,0,0],[0,1,0,0,0],[0,0,0,0,1]]=>29 [[0,0,0,1,0],[0,1,0,0,0],[1,-1,1,0,0],[0,1,0,0,0],[0,0,0,0,1]]=>25 [[0,0,1,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,1,0,0,0],[0,0,0,0,1]]=>26 [[0,0,0,1,0],[0,0,1,0,0],[1,0,0,0,0],[0,1,0,0,0],[0,0,0,0,1]]=>22 [[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,0,0,0,1]]=>31 [[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,0,0,0,1]]=>28 [[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,0,1]]=>26 [[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,0,1]]=>27 [[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,0,1]]=>23 [[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0],[1,0,0,0,0],[0,0,0,0,1]]=>24 [[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0],[1,0,0,0,0],[0,0,0,0,1]]=>20 [[1,0,0,0,0],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[0,0,0,1,0]]=>32 [[0,1,0,0,0],[1,0,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[0,0,0,1,0]]=>30 [[1,0,0,0,0],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,0,1,0]]=>28 [[0,1,0,0,0],[1,-1,1,0,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,0,1,0]]=>29 [[0,0,1,0,0],[1,0,0,0,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,0,1,0]]=>26 [[0,1,0,0,0],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,0,1],[0,0,0,1,0]]=>27 [[0,0,1,0,0],[0,1,0,0,0],[1,0,0,0,0],[0,0,0,0,1],[0,0,0,1,0]]=>24 [[1,0,0,0,0],[0,1,0,0,0],[0,0,0,1,0],[0,0,1,-1,1],[0,0,0,1,0]]=>33 [[0,1,0,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,0,1,-1,1],[0,0,0,1,0]]=>31 [[1,0,0,0,0],[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,-1,1],[0,0,0,1,0]]=>34 [[0,1,0,0,0],[1,-1,1,0,0],[0,1,-1,1,0],[0,0,1,-1,1],[0,0,0,1,0]]=>35 [[0,0,1,0,0],[1,0,0,0,0],[0,1,-1,1,0],[0,0,1,-1,1],[0,0,0,1,0]]=>32 [[0,1,0,0,0],[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,-1,1],[0,0,0,1,0]]=>33 [[0,0,1,0,0],[0,1,0,0,0],[1,0,-1,1,0],[0,0,1,-1,1],[0,0,0,1,0]]=>30 [[1,0,0,0,0],[0,0,0,1,0],[0,1,0,0,0],[0,0,1,-1,1],[0,0,0,1,0]]=>29 [[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,0,0],[0,0,1,-1,1],[0,0,0,1,0]]=>30 [[0,0,1,0,0],[1,0,-1,1,0],[0,1,0,0,0],[0,0,1,-1,1],[0,0,0,1,0]]=>31 [[0,0,0,1,0],[1,0,0,0,0],[0,1,0,0,0],[0,0,1,-1,1],[0,0,0,1,0]]=>27 [[0,1,0,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,0,1,-1,1],[0,0,0,1,0]]=>28 [[0,0,1,0,0],[0,1,-1,1,0],[1,0,0,0,0],[0,0,1,-1,1],[0,0,0,1,0]]=>29 [[0,0,0,1,0],[0,1,0,0,0],[1,0,0,0,0],[0,0,1,-1,1],[0,0,0,1,0]]=>25 [[1,0,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[0,1,0,-1,1],[0,0,0,1,0]]=>30 [[0,1,0,0,0],[1,-1,1,0,0],[0,0,0,1,0],[0,1,0,-1,1],[0,0,0,1,0]]=>31 [[0,0,1,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,1,0,-1,1],[0,0,0,1,0]]=>28 [[0,1,0,0,0],[0,0,1,0,0],[1,-1,0,1,0],[0,1,0,-1,1],[0,0,0,1,0]]=>32 [[0,0,1,0,0],[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,-1,1],[0,0,0,1,0]]=>29 [[1,0,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[0,1,0,-1,1],[0,0,0,1,0]]=>25 [[0,1,0,0,0],[1,-1,0,1,0],[0,0,1,0,0],[0,1,0,-1,1],[0,0,0,1,0]]=>26 [[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,0,0],[0,1,0,-1,1],[0,0,0,1,0]]=>27 [[0,0,0,1,0],[1,0,0,0,0],[0,0,1,0,0],[0,1,0,-1,1],[0,0,0,1,0]]=>23 [[0,1,0,0,0],[0,0,0,1,0],[1,-1,1,0,0],[0,1,0,-1,1],[0,0,0,1,0]]=>27 [[0,0,1,0,0],[0,1,-1,1,0],[1,-1,1,0,0],[0,1,0,-1,1],[0,0,0,1,0]]=>28 [[0,0,0,1,0],[0,1,0,0,0],[1,-1,1,0,0],[0,1,0,-1,1],[0,0,0,1,0]]=>24 [[0,0,1,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,1,0,-1,1],[0,0,0,1,0]]=>25 [[0,0,0,1,0],[0,0,1,0,0],[1,0,0,0,0],[0,1,0,-1,1],[0,0,0,1,0]]=>21 [[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[1,0,0,-1,1],[0,0,0,1,0]]=>30 [[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0],[1,0,0,-1,1],[0,0,0,1,0]]=>27 [[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[1,0,0,-1,1],[0,0,0,1,0]]=>25 [[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0],[1,0,0,-1,1],[0,0,0,1,0]]=>26 [[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0],[1,0,0,-1,1],[0,0,0,1,0]]=>22 [[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0],[1,0,0,-1,1],[0,0,0,1,0]]=>23 [[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0],[1,0,0,-1,1],[0,0,0,1,0]]=>19 [[1,0,0,0,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[0,0,0,1,0]]=>26 [[0,1,0,0,0],[1,0,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[0,0,0,1,0]]=>24 [[1,0,0,0,0],[0,0,1,0,0],[0,1,-1,0,1],[0,0,1,0,0],[0,0,0,1,0]]=>27 [[0,1,0,0,0],[1,-1,1,0,0],[0,1,-1,0,1],[0,0,1,0,0],[0,0,0,1,0]]=>28 [[0,0,1,0,0],[1,0,0,0,0],[0,1,-1,0,1],[0,0,1,0,0],[0,0,0,1,0]]=>25 [[0,1,0,0,0],[0,0,1,0,0],[1,0,-1,0,1],[0,0,1,0,0],[0,0,0,1,0]]=>26 [[0,0,1,0,0],[0,1,0,0,0],[1,0,-1,0,1],[0,0,1,0,0],[0,0,0,1,0]]=>23 [[1,0,0,0,0],[0,0,0,1,0],[0,1,0,-1,1],[0,0,1,0,0],[0,0,0,1,0]]=>28 [[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,-1,1],[0,0,1,0,0],[0,0,0,1,0]]=>29 [[0,0,1,0,0],[1,0,-1,1,0],[0,1,0,-1,1],[0,0,1,0,0],[0,0,0,1,0]]=>30 [[0,0,0,1,0],[1,0,0,0,0],[0,1,0,-1,1],[0,0,1,0,0],[0,0,0,1,0]]=>26 [[0,1,0,0,0],[0,0,0,1,0],[1,0,0,-1,1],[0,0,1,0,0],[0,0,0,1,0]]=>27 [[0,0,1,0,0],[0,1,-1,1,0],[1,0,0,-1,1],[0,0,1,0,0],[0,0,0,1,0]]=>28 [[0,0,0,1,0],[0,1,0,0,0],[1,0,0,-1,1],[0,0,1,0,0],[0,0,0,1,0]]=>24 [[1,0,0,0,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0]]=>22 [[0,1,0,0,0],[1,-1,0,0,1],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0]]=>23 [[0,0,1,0,0],[1,0,-1,0,1],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0]]=>24 [[0,0,0,1,0],[1,0,0,-1,1],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0]]=>25 [[0,0,0,0,1],[1,0,0,0,0],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0]]=>20 [[0,1,0,0,0],[0,0,0,0,1],[1,0,0,0,0],[0,0,1,0,0],[0,0,0,1,0]]=>21 [[0,0,1,0,0],[0,1,-1,0,1],[1,0,0,0,0],[0,0,1,0,0],[0,0,0,1,0]]=>22 [[0,0,0,1,0],[0,1,0,-1,1],[1,0,0,0,0],[0,0,1,0,0],[0,0,0,1,0]]=>23 [[0,0,0,0,1],[0,1,0,0,0],[1,0,0,0,0],[0,0,1,0,0],[0,0,0,1,0]]=>18 [[1,0,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,0,1,0]]=>23 [[0,1,0,0,0],[1,-1,1,0,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,0,1,0]]=>24 [[0,0,1,0,0],[1,0,0,0,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,0,1,0]]=>21 [[0,1,0,0,0],[0,0,1,0,0],[1,-1,0,0,1],[0,1,0,0,0],[0,0,0,1,0]]=>25 [[0,0,1,0,0],[0,1,0,0,0],[1,-1,0,0,1],[0,1,0,0,0],[0,0,0,1,0]]=>22 [[1,0,0,0,0],[0,0,0,1,0],[0,0,1,-1,1],[0,1,0,0,0],[0,0,0,1,0]]=>24 [[0,1,0,0,0],[1,-1,0,1,0],[0,0,1,-1,1],[0,1,0,0,0],[0,0,0,1,0]]=>25 [[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,-1,1],[0,1,0,0,0],[0,0,0,1,0]]=>26 [[0,0,0,1,0],[1,0,0,0,0],[0,0,1,-1,1],[0,1,0,0,0],[0,0,0,1,0]]=>22 [[0,1,0,0,0],[0,0,0,1,0],[1,-1,1,-1,1],[0,1,0,0,0],[0,0,0,1,0]]=>26 [[0,0,1,0,0],[0,1,-1,1,0],[1,-1,1,-1,1],[0,1,0,0,0],[0,0,0,1,0]]=>27 [[0,0,0,1,0],[0,1,0,0,0],[1,-1,1,-1,1],[0,1,0,0,0],[0,0,0,1,0]]=>23 [[0,0,1,0,0],[0,0,0,1,0],[1,0,0,-1,1],[0,1,0,0,0],[0,0,0,1,0]]=>24 [[0,0,0,1,0],[0,0,1,0,0],[1,0,0,-1,1],[0,1,0,0,0],[0,0,0,1,0]]=>20 [[1,0,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0]]=>18 [[0,1,0,0,0],[1,-1,0,0,1],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0]]=>19 [[0,0,1,0,0],[1,0,-1,0,1],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0]]=>20 [[0,0,0,1,0],[1,0,0,-1,1],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0]]=>21 [[0,0,0,0,1],[1,0,0,0,0],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0]]=>16 [[0,1,0,0,0],[0,0,0,0,1],[1,-1,1,0,0],[0,1,0,0,0],[0,0,0,1,0]]=>20 [[0,0,1,0,0],[0,1,-1,0,1],[1,-1,1,0,0],[0,1,0,0,0],[0,0,0,1,0]]=>21 [[0,0,0,1,0],[0,1,0,-1,1],[1,-1,1,0,0],[0,1,0,0,0],[0,0,0,1,0]]=>22 [[0,0,0,0,1],[0,1,0,0,0],[1,-1,1,0,0],[0,1,0,0,0],[0,0,0,1,0]]=>17 [[0,0,1,0,0],[0,0,0,0,1],[1,0,0,0,0],[0,1,0,0,0],[0,0,0,1,0]]=>18 [[0,0,0,1,0],[0,0,1,-1,1],[1,0,0,0,0],[0,1,0,0,0],[0,0,0,1,0]]=>19 [[0,0,0,0,1],[0,0,1,0,0],[1,0,0,0,0],[0,1,0,0,0],[0,0,0,1,0]]=>14 [[0,1,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[1,0,0,0,0],[0,0,0,1,0]]=>23 [[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1],[1,0,0,0,0],[0,0,0,1,0]]=>20 [[0,1,0,0,0],[0,0,0,1,0],[0,0,1,-1,1],[1,0,0,0,0],[0,0,0,1,0]]=>24 [[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,-1,1],[1,0,0,0,0],[0,0,0,1,0]]=>25 [[0,0,0,1,0],[0,1,0,0,0],[0,0,1,-1,1],[1,0,0,0,0],[0,0,0,1,0]]=>21 [[0,0,1,0,0],[0,0,0,1,0],[0,1,0,-1,1],[1,0,0,0,0],[0,0,0,1,0]]=>22 [[0,0,0,1,0],[0,0,1,0,0],[0,1,0,-1,1],[1,0,0,0,0],[0,0,0,1,0]]=>18 [[0,1,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,1,0]]=>18 [[0,0,1,0,0],[0,1,-1,0,1],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,1,0]]=>19 [[0,0,0,1,0],[0,1,0,-1,1],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,1,0]]=>20 [[0,0,0,0,1],[0,1,0,0,0],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,1,0]]=>15 [[0,0,1,0,0],[0,0,0,0,1],[0,1,0,0,0],[1,0,0,0,0],[0,0,0,1,0]]=>16 [[0,0,0,1,0],[0,0,1,-1,1],[0,1,0,0,0],[1,0,0,0,0],[0,0,0,1,0]]=>17 [[0,0,0,0,1],[0,0,1,0,0],[0,1,0,0,0],[1,0,0,0,0],[0,0,0,1,0]]=>12 [[1,0,0,0,0],[0,1,0,0,0],[0,0,0,1,0],[0,0,0,0,1],[0,0,1,0,0]]=>27 [[0,1,0,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,0,0,0,1],[0,0,1,0,0]]=>25 [[1,0,0,0,0],[0,0,1,0,0],[0,1,-1,1,0],[0,0,0,0,1],[0,0,1,0,0]]=>28 [[0,1,0,0,0],[1,-1,1,0,0],[0,1,-1,1,0],[0,0,0,0,1],[0,0,1,0,0]]=>29 [[0,0,1,0,0],[1,0,0,0,0],[0,1,-1,1,0],[0,0,0,0,1],[0,0,1,0,0]]=>26 [[0,1,0,0,0],[0,0,1,0,0],[1,0,-1,1,0],[0,0,0,0,1],[0,0,1,0,0]]=>27 [[0,0,1,0,0],[0,1,0,0,0],[1,0,-1,1,0],[0,0,0,0,1],[0,0,1,0,0]]=>24 [[1,0,0,0,0],[0,0,0,1,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,1,0,0]]=>23 [[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,1,0,0]]=>24 [[0,0,1,0,0],[1,0,-1,1,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,1,0,0]]=>25 [[0,0,0,1,0],[1,0,0,0,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,1,0,0]]=>21 [[0,1,0,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,0,0,0,1],[0,0,1,0,0]]=>22 [[0,0,1,0,0],[0,1,-1,1,0],[1,0,0,0,0],[0,0,0,0,1],[0,0,1,0,0]]=>23 [[0,0,0,1,0],[0,1,0,0,0],[1,0,0,0,0],[0,0,0,0,1],[0,0,1,0,0]]=>19 [[1,0,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[0,1,-1,0,1],[0,0,1,0,0]]=>29 [[0,1,0,0,0],[1,-1,1,0,0],[0,0,0,1,0],[0,1,-1,0,1],[0,0,1,0,0]]=>30 [[0,0,1,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,1,-1,0,1],[0,0,1,0,0]]=>27 [[0,1,0,0,0],[0,0,1,0,0],[1,-1,0,1,0],[0,1,-1,0,1],[0,0,1,0,0]]=>31 [[0,0,1,0,0],[0,1,0,0,0],[1,-1,0,1,0],[0,1,-1,0,1],[0,0,1,0,0]]=>28 [[1,0,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[0,1,-1,0,1],[0,0,1,0,0]]=>24 [[0,1,0,0,0],[1,-1,0,1,0],[0,0,1,0,0],[0,1,-1,0,1],[0,0,1,0,0]]=>25 [[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,0,0],[0,1,-1,0,1],[0,0,1,0,0]]=>26 [[0,0,0,1,0],[1,0,0,0,0],[0,0,1,0,0],[0,1,-1,0,1],[0,0,1,0,0]]=>22 [[0,1,0,0,0],[0,0,0,1,0],[1,-1,1,0,0],[0,1,-1,0,1],[0,0,1,0,0]]=>26 [[0,0,1,0,0],[0,1,-1,1,0],[1,-1,1,0,0],[0,1,-1,0,1],[0,0,1,0,0]]=>27 [[0,0,0,1,0],[0,1,0,0,0],[1,-1,1,0,0],[0,1,-1,0,1],[0,0,1,0,0]]=>23 [[0,0,1,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,1,-1,0,1],[0,0,1,0,0]]=>24 [[0,0,0,1,0],[0,0,1,0,0],[1,0,0,0,0],[0,1,-1,0,1],[0,0,1,0,0]]=>20 [[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[1,0,-1,0,1],[0,0,1,0,0]]=>29 [[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0],[1,0,-1,0,1],[0,0,1,0,0]]=>26 [[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[1,0,-1,0,1],[0,0,1,0,0]]=>24 [[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0],[1,0,-1,0,1],[0,0,1,0,0]]=>25 [[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0],[1,0,-1,0,1],[0,0,1,0,0]]=>21 [[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0],[1,0,-1,0,1],[0,0,1,0,0]]=>22 [[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0],[1,0,-1,0,1],[0,0,1,0,0]]=>18 [[1,0,0,0,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,0,1,0],[0,0,1,0,0]]=>20 [[0,1,0,0,0],[1,0,0,0,0],[0,0,0,0,1],[0,0,0,1,0],[0,0,1,0,0]]=>18 [[1,0,0,0,0],[0,0,1,0,0],[0,1,-1,0,1],[0,0,0,1,0],[0,0,1,0,0]]=>21 [[0,1,0,0,0],[1,-1,1,0,0],[0,1,-1,0,1],[0,0,0,1,0],[0,0,1,0,0]]=>22 [[0,0,1,0,0],[1,0,0,0,0],[0,1,-1,0,1],[0,0,0,1,0],[0,0,1,0,0]]=>19 [[0,1,0,0,0],[0,0,1,0,0],[1,0,-1,0,1],[0,0,0,1,0],[0,0,1,0,0]]=>20 [[0,0,1,0,0],[0,1,0,0,0],[1,0,-1,0,1],[0,0,0,1,0],[0,0,1,0,0]]=>17 [[1,0,0,0,0],[0,0,0,1,0],[0,1,0,-1,1],[0,0,0,1,0],[0,0,1,0,0]]=>22 [[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,-1,1],[0,0,0,1,0],[0,0,1,0,0]]=>23 [[0,0,1,0,0],[1,0,-1,1,0],[0,1,0,-1,1],[0,0,0,1,0],[0,0,1,0,0]]=>24 [[0,0,0,1,0],[1,0,0,0,0],[0,1,0,-1,1],[0,0,0,1,0],[0,0,1,0,0]]=>20 [[0,1,0,0,0],[0,0,0,1,0],[1,0,0,-1,1],[0,0,0,1,0],[0,0,1,0,0]]=>21 [[0,0,1,0,0],[0,1,-1,1,0],[1,0,0,-1,1],[0,0,0,1,0],[0,0,1,0,0]]=>22 [[0,0,0,1,0],[0,1,0,0,0],[1,0,0,-1,1],[0,0,0,1,0],[0,0,1,0,0]]=>18 [[1,0,0,0,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0]]=>16 [[0,1,0,0,0],[1,-1,0,0,1],[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0]]=>17 [[0,0,1,0,0],[1,0,-1,0,1],[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0]]=>18 [[0,0,0,1,0],[1,0,0,-1,1],[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0]]=>19 [[0,0,0,0,1],[1,0,0,0,0],[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0]]=>14 [[0,1,0,0,0],[0,0,0,0,1],[1,0,0,0,0],[0,0,0,1,0],[0,0,1,0,0]]=>15 [[0,0,1,0,0],[0,1,-1,0,1],[1,0,0,0,0],[0,0,0,1,0],[0,0,1,0,0]]=>16 [[0,0,0,1,0],[0,1,0,-1,1],[1,0,0,0,0],[0,0,0,1,0],[0,0,1,0,0]]=>17 [[0,0,0,0,1],[0,1,0,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,0,1,0,0]]=>12 [[1,0,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[0,1,-1,1,0],[0,0,1,0,0]]=>22 [[0,1,0,0,0],[1,-1,1,0,0],[0,0,0,0,1],[0,1,-1,1,0],[0,0,1,0,0]]=>23 [[0,0,1,0,0],[1,0,0,0,0],[0,0,0,0,1],[0,1,-1,1,0],[0,0,1,0,0]]=>20 [[0,1,0,0,0],[0,0,1,0,0],[1,-1,0,0,1],[0,1,-1,1,0],[0,0,1,0,0]]=>24 [[0,0,1,0,0],[0,1,0,0,0],[1,-1,0,0,1],[0,1,-1,1,0],[0,0,1,0,0]]=>21 [[1,0,0,0,0],[0,0,0,1,0],[0,0,1,-1,1],[0,1,-1,1,0],[0,0,1,0,0]]=>23 [[0,1,0,0,0],[1,-1,0,1,0],[0,0,1,-1,1],[0,1,-1,1,0],[0,0,1,0,0]]=>24 [[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,-1,1],[0,1,-1,1,0],[0,0,1,0,0]]=>25 [[0,0,0,1,0],[1,0,0,0,0],[0,0,1,-1,1],[0,1,-1,1,0],[0,0,1,0,0]]=>21 [[0,1,0,0,0],[0,0,0,1,0],[1,-1,1,-1,1],[0,1,-1,1,0],[0,0,1,0,0]]=>25 [[0,0,1,0,0],[0,1,-1,1,0],[1,-1,1,-1,1],[0,1,-1,1,0],[0,0,1,0,0]]=>26 [[0,0,0,1,0],[0,1,0,0,0],[1,-1,1,-1,1],[0,1,-1,1,0],[0,0,1,0,0]]=>22 [[0,0,1,0,0],[0,0,0,1,0],[1,0,0,-1,1],[0,1,-1,1,0],[0,0,1,0,0]]=>23 [[0,0,0,1,0],[0,0,1,0,0],[1,0,0,-1,1],[0,1,-1,1,0],[0,0,1,0,0]]=>19 [[1,0,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0]]=>17 [[0,1,0,0,0],[1,-1,0,0,1],[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0]]=>18 [[0,0,1,0,0],[1,0,-1,0,1],[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0]]=>19 [[0,0,0,1,0],[1,0,0,-1,1],[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0]]=>20 [[0,0,0,0,1],[1,0,0,0,0],[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0]]=>15 [[0,1,0,0,0],[0,0,0,0,1],[1,-1,1,0,0],[0,1,-1,1,0],[0,0,1,0,0]]=>19 [[0,0,1,0,0],[0,1,-1,0,1],[1,-1,1,0,0],[0,1,-1,1,0],[0,0,1,0,0]]=>20 [[0,0,0,1,0],[0,1,0,-1,1],[1,-1,1,0,0],[0,1,-1,1,0],[0,0,1,0,0]]=>21 [[0,0,0,0,1],[0,1,0,0,0],[1,-1,1,0,0],[0,1,-1,1,0],[0,0,1,0,0]]=>16 [[0,0,1,0,0],[0,0,0,0,1],[1,0,0,0,0],[0,1,-1,1,0],[0,0,1,0,0]]=>17 [[0,0,0,1,0],[0,0,1,-1,1],[1,0,0,0,0],[0,1,-1,1,0],[0,0,1,0,0]]=>18 [[0,0,0,0,1],[0,0,1,0,0],[1,0,0,0,0],[0,1,-1,1,0],[0,0,1,0,0]]=>13 [[0,1,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[1,0,-1,1,0],[0,0,1,0,0]]=>22 [[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1],[1,0,-1,1,0],[0,0,1,0,0]]=>19 [[0,1,0,0,0],[0,0,0,1,0],[0,0,1,-1,1],[1,0,-1,1,0],[0,0,1,0,0]]=>23 [[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,-1,1],[1,0,-1,1,0],[0,0,1,0,0]]=>24 [[0,0,0,1,0],[0,1,0,0,0],[0,0,1,-1,1],[1,0,-1,1,0],[0,0,1,0,0]]=>20 [[0,0,1,0,0],[0,0,0,1,0],[0,1,0,-1,1],[1,0,-1,1,0],[0,0,1,0,0]]=>21 [[0,0,0,1,0],[0,0,1,0,0],[0,1,0,-1,1],[1,0,-1,1,0],[0,0,1,0,0]]=>17 [[0,1,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,0,0]]=>17 [[0,0,1,0,0],[0,1,-1,0,1],[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,0,0]]=>18 [[0,0,0,1,0],[0,1,0,-1,1],[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,0,0]]=>19 [[0,0,0,0,1],[0,1,0,0,0],[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,0,0]]=>14 [[0,0,1,0,0],[0,0,0,0,1],[0,1,0,0,0],[1,0,-1,1,0],[0,0,1,0,0]]=>15 [[0,0,0,1,0],[0,0,1,-1,1],[0,1,0,0,0],[1,0,-1,1,0],[0,0,1,0,0]]=>16 [[0,0,0,0,1],[0,0,1,0,0],[0,1,0,0,0],[1,0,-1,1,0],[0,0,1,0,0]]=>11 [[1,0,0,0,0],[0,0,0,1,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,1,0,0]]=>18 [[0,1,0,0,0],[1,-1,0,1,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,1,0,0]]=>19 [[0,0,1,0,0],[1,0,-1,1,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,1,0,0]]=>20 [[0,0,0,1,0],[1,0,0,0,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,1,0,0]]=>16 [[0,1,0,0,0],[0,0,0,1,0],[1,-1,0,0,1],[0,1,0,0,0],[0,0,1,0,0]]=>20 [[0,0,1,0,0],[0,1,-1,1,0],[1,-1,0,0,1],[0,1,0,0,0],[0,0,1,0,0]]=>21 [[0,0,0,1,0],[0,1,0,0,0],[1,-1,0,0,1],[0,1,0,0,0],[0,0,1,0,0]]=>17 [[0,0,1,0,0],[0,0,0,1,0],[1,0,-1,0,1],[0,1,0,0,0],[0,0,1,0,0]]=>22 [[0,0,0,1,0],[0,0,1,0,0],[1,0,-1,0,1],[0,1,0,0,0],[0,0,1,0,0]]=>18 [[1,0,0,0,0],[0,0,0,0,1],[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0]]=>12 [[0,1,0,0,0],[1,-1,0,0,1],[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0]]=>13 [[0,0,1,0,0],[1,0,-1,0,1],[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0]]=>14 [[0,0,0,1,0],[1,0,0,-1,1],[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0]]=>15 [[0,0,0,0,1],[1,0,0,0,0],[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0]]=>10 [[0,1,0,0,0],[0,0,0,0,1],[1,-1,0,1,0],[0,1,0,0,0],[0,0,1,0,0]]=>14 [[0,0,1,0,0],[0,1,-1,0,1],[1,-1,0,1,0],[0,1,0,0,0],[0,0,1,0,0]]=>15 [[0,0,0,1,0],[0,1,0,-1,1],[1,-1,0,1,0],[0,1,0,0,0],[0,0,1,0,0]]=>16 [[0,0,0,0,1],[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,0,0],[0,0,1,0,0]]=>11 [[0,0,1,0,0],[0,0,0,0,1],[1,0,-1,1,0],[0,1,0,0,0],[0,0,1,0,0]]=>16 [[0,0,0,1,0],[0,0,1,-1,1],[1,0,-1,1,0],[0,1,0,0,0],[0,0,1,0,0]]=>17 [[0,0,0,0,1],[0,0,1,0,0],[1,0,-1,1,0],[0,1,0,0,0],[0,0,1,0,0]]=>12 [[0,0,0,1,0],[0,0,0,0,1],[1,0,0,0,0],[0,1,0,0,0],[0,0,1,0,0]]=>13 [[0,0,0,0,1],[0,0,0,1,0],[1,0,0,0,0],[0,1,0,0,0],[0,0,1,0,0]]=>8 [[0,1,0,0,0],[0,0,0,1,0],[0,0,0,0,1],[1,0,0,0,0],[0,0,1,0,0]]=>18 [[0,0,1,0,0],[0,1,-1,1,0],[0,0,0,0,1],[1,0,0,0,0],[0,0,1,0,0]]=>19 [[0,0,0,1,0],[0,1,0,0,0],[0,0,0,0,1],[1,0,0,0,0],[0,0,1,0,0]]=>15 [[0,0,1,0,0],[0,0,0,1,0],[0,1,-1,0,1],[1,0,0,0,0],[0,0,1,0,0]]=>20 [[0,0,0,1,0],[0,0,1,0,0],[0,1,-1,0,1],[1,0,0,0,0],[0,0,1,0,0]]=>16 [[0,1,0,0,0],[0,0,0,0,1],[0,0,0,1,0],[1,0,0,0,0],[0,0,1,0,0]]=>12 [[0,0,1,0,0],[0,1,-1,0,1],[0,0,0,1,0],[1,0,0,0,0],[0,0,1,0,0]]=>13 [[0,0,0,1,0],[0,1,0,-1,1],[0,0,0,1,0],[1,0,0,0,0],[0,0,1,0,0]]=>14 [[0,0,0,0,1],[0,1,0,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,0,1,0,0]]=>9 [[0,0,1,0,0],[0,0,0,0,1],[0,1,-1,1,0],[1,0,0,0,0],[0,0,1,0,0]]=>14 [[0,0,0,1,0],[0,0,1,-1,1],[0,1,-1,1,0],[1,0,0,0,0],[0,0,1,0,0]]=>15 [[0,0,0,0,1],[0,0,1,0,0],[0,1,-1,1,0],[1,0,0,0,0],[0,0,1,0,0]]=>10 [[0,0,0,1,0],[0,0,0,0,1],[0,1,0,0,0],[1,0,0,0,0],[0,0,1,0,0]]=>11 [[0,0,0,0,1],[0,0,0,1,0],[0,1,0,0,0],[1,0,0,0,0],[0,0,1,0,0]]=>6 [[1,0,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[0,0,0,0,1],[0,1,0,0,0]]=>25 [[0,1,0,0,0],[1,-1,1,0,0],[0,0,0,1,0],[0,0,0,0,1],[0,1,0,0,0]]=>26 [[0,0,1,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,0,0,0,1],[0,1,0,0,0]]=>23 [[0,1,0,0,0],[0,0,1,0,0],[1,-1,0,1,0],[0,0,0,0,1],[0,1,0,0,0]]=>27 [[0,0,1,0,0],[0,1,0,0,0],[1,-1,0,1,0],[0,0,0,0,1],[0,1,0,0,0]]=>24 [[1,0,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[0,0,0,0,1],[0,1,0,0,0]]=>20 [[0,1,0,0,0],[1,-1,0,1,0],[0,0,1,0,0],[0,0,0,0,1],[0,1,0,0,0]]=>21 [[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,0,0],[0,0,0,0,1],[0,1,0,0,0]]=>22 [[0,0,0,1,0],[1,0,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[0,1,0,0,0]]=>18 [[0,1,0,0,0],[0,0,0,1,0],[1,-1,1,0,0],[0,0,0,0,1],[0,1,0,0,0]]=>22 [[0,0,1,0,0],[0,1,-1,1,0],[1,-1,1,0,0],[0,0,0,0,1],[0,1,0,0,0]]=>23 [[0,0,0,1,0],[0,1,0,0,0],[1,-1,1,0,0],[0,0,0,0,1],[0,1,0,0,0]]=>19 [[0,0,1,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,0,0,0,1],[0,1,0,0,0]]=>20 [[0,0,0,1,0],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,0,1],[0,1,0,0,0]]=>16 [[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[1,-1,0,0,1],[0,1,0,0,0]]=>28 [[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0],[1,-1,0,0,1],[0,1,0,0,0]]=>25 [[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[1,-1,0,0,1],[0,1,0,0,0]]=>23 [[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0],[1,-1,0,0,1],[0,1,0,0,0]]=>24 [[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0],[1,-1,0,0,1],[0,1,0,0,0]]=>20 [[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0],[1,-1,0,0,1],[0,1,0,0,0]]=>21 [[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0],[1,-1,0,0,1],[0,1,0,0,0]]=>17 [[1,0,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[0,0,0,1,0],[0,1,0,0,0]]=>18 [[0,1,0,0,0],[1,-1,1,0,0],[0,0,0,0,1],[0,0,0,1,0],[0,1,0,0,0]]=>19 [[0,0,1,0,0],[1,0,0,0,0],[0,0,0,0,1],[0,0,0,1,0],[0,1,0,0,0]]=>16 [[0,1,0,0,0],[0,0,1,0,0],[1,-1,0,0,1],[0,0,0,1,0],[0,1,0,0,0]]=>20 [[0,0,1,0,0],[0,1,0,0,0],[1,-1,0,0,1],[0,0,0,1,0],[0,1,0,0,0]]=>17 [[1,0,0,0,0],[0,0,0,1,0],[0,0,1,-1,1],[0,0,0,1,0],[0,1,0,0,0]]=>19 [[0,1,0,0,0],[1,-1,0,1,0],[0,0,1,-1,1],[0,0,0,1,0],[0,1,0,0,0]]=>20 [[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,-1,1],[0,0,0,1,0],[0,1,0,0,0]]=>21 [[0,0,0,1,0],[1,0,0,0,0],[0,0,1,-1,1],[0,0,0,1,0],[0,1,0,0,0]]=>17 [[0,1,0,0,0],[0,0,0,1,0],[1,-1,1,-1,1],[0,0,0,1,0],[0,1,0,0,0]]=>21 [[0,0,1,0,0],[0,1,-1,1,0],[1,-1,1,-1,1],[0,0,0,1,0],[0,1,0,0,0]]=>22 [[0,0,0,1,0],[0,1,0,0,0],[1,-1,1,-1,1],[0,0,0,1,0],[0,1,0,0,0]]=>18 [[0,0,1,0,0],[0,0,0,1,0],[1,0,0,-1,1],[0,0,0,1,0],[0,1,0,0,0]]=>19 [[0,0,0,1,0],[0,0,1,0,0],[1,0,0,-1,1],[0,0,0,1,0],[0,1,0,0,0]]=>15 [[1,0,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0]]=>13 [[0,1,0,0,0],[1,-1,0,0,1],[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0]]=>14 [[0,0,1,0,0],[1,0,-1,0,1],[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0]]=>15 [[0,0,0,1,0],[1,0,0,-1,1],[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0]]=>16 [[0,0,0,0,1],[1,0,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0]]=>11 [[0,1,0,0,0],[0,0,0,0,1],[1,-1,1,0,0],[0,0,0,1,0],[0,1,0,0,0]]=>15 [[0,0,1,0,0],[0,1,-1,0,1],[1,-1,1,0,0],[0,0,0,1,0],[0,1,0,0,0]]=>16 [[0,0,0,1,0],[0,1,0,-1,1],[1,-1,1,0,0],[0,0,0,1,0],[0,1,0,0,0]]=>17 [[0,0,0,0,1],[0,1,0,0,0],[1,-1,1,0,0],[0,0,0,1,0],[0,1,0,0,0]]=>12 [[0,0,1,0,0],[0,0,0,0,1],[1,0,0,0,0],[0,0,0,1,0],[0,1,0,0,0]]=>13 [[0,0,0,1,0],[0,0,1,-1,1],[1,0,0,0,0],[0,0,0,1,0],[0,1,0,0,0]]=>14 [[0,0,0,0,1],[0,0,1,0,0],[1,0,0,0,0],[0,0,0,1,0],[0,1,0,0,0]]=>9 [[0,1,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[1,-1,0,1,0],[0,1,0,0,0]]=>21 [[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1],[1,-1,0,1,0],[0,1,0,0,0]]=>18 [[0,1,0,0,0],[0,0,0,1,0],[0,0,1,-1,1],[1,-1,0,1,0],[0,1,0,0,0]]=>22 [[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,-1,1],[1,-1,0,1,0],[0,1,0,0,0]]=>23 [[0,0,0,1,0],[0,1,0,0,0],[0,0,1,-1,1],[1,-1,0,1,0],[0,1,0,0,0]]=>19 [[0,0,1,0,0],[0,0,0,1,0],[0,1,0,-1,1],[1,-1,0,1,0],[0,1,0,0,0]]=>20 [[0,0,0,1,0],[0,0,1,0,0],[0,1,0,-1,1],[1,-1,0,1,0],[0,1,0,0,0]]=>16 [[0,1,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[1,-1,0,1,0],[0,1,0,0,0]]=>16 [[0,0,1,0,0],[0,1,-1,0,1],[0,0,1,0,0],[1,-1,0,1,0],[0,1,0,0,0]]=>17 [[0,0,0,1,0],[0,1,0,-1,1],[0,0,1,0,0],[1,-1,0,1,0],[0,1,0,0,0]]=>18 [[0,0,0,0,1],[0,1,0,0,0],[0,0,1,0,0],[1,-1,0,1,0],[0,1,0,0,0]]=>13 [[0,0,1,0,0],[0,0,0,0,1],[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,0,0]]=>14 [[0,0,0,1,0],[0,0,1,-1,1],[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,0,0]]=>15 [[0,0,0,0,1],[0,0,1,0,0],[0,1,0,0,0],[1,-1,0,1,0],[0,1,0,0,0]]=>10 [[1,0,0,0,0],[0,0,0,1,0],[0,0,0,0,1],[0,0,1,0,0],[0,1,0,0,0]]=>14 [[0,1,0,0,0],[1,-1,0,1,0],[0,0,0,0,1],[0,0,1,0,0],[0,1,0,0,0]]=>15 [[0,0,1,0,0],[1,0,-1,1,0],[0,0,0,0,1],[0,0,1,0,0],[0,1,0,0,0]]=>16 [[0,0,0,1,0],[1,0,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[0,1,0,0,0]]=>12 [[0,1,0,0,0],[0,0,0,1,0],[1,-1,0,0,1],[0,0,1,0,0],[0,1,0,0,0]]=>16 [[0,0,1,0,0],[0,1,-1,1,0],[1,-1,0,0,1],[0,0,1,0,0],[0,1,0,0,0]]=>17 [[0,0,0,1,0],[0,1,0,0,0],[1,-1,0,0,1],[0,0,1,0,0],[0,1,0,0,0]]=>13 [[0,0,1,0,0],[0,0,0,1,0],[1,0,-1,0,1],[0,0,1,0,0],[0,1,0,0,0]]=>18 [[0,0,0,1,0],[0,0,1,0,0],[1,0,-1,0,1],[0,0,1,0,0],[0,1,0,0,0]]=>14 [[1,0,0,0,0],[0,0,0,0,1],[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0]]=>8 [[0,1,0,0,0],[1,-1,0,0,1],[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0]]=>9 [[0,0,1,0,0],[1,0,-1,0,1],[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0]]=>10 [[0,0,0,1,0],[1,0,0,-1,1],[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0]]=>11 [[0,0,0,0,1],[1,0,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0]]=>6 [[0,1,0,0,0],[0,0,0,0,1],[1,-1,0,1,0],[0,0,1,0,0],[0,1,0,0,0]]=>10 [[0,0,1,0,0],[0,1,-1,0,1],[1,-1,0,1,0],[0,0,1,0,0],[0,1,0,0,0]]=>11 [[0,0,0,1,0],[0,1,0,-1,1],[1,-1,0,1,0],[0,0,1,0,0],[0,1,0,0,0]]=>12 [[0,0,0,0,1],[0,1,0,0,0],[1,-1,0,1,0],[0,0,1,0,0],[0,1,0,0,0]]=>7 [[0,0,1,0,0],[0,0,0,0,1],[1,0,-1,1,0],[0,0,1,0,0],[0,1,0,0,0]]=>12 [[0,0,0,1,0],[0,0,1,-1,1],[1,0,-1,1,0],[0,0,1,0,0],[0,1,0,0,0]]=>13 [[0,0,0,0,1],[0,0,1,0,0],[1,0,-1,1,0],[0,0,1,0,0],[0,1,0,0,0]]=>8 [[0,0,0,1,0],[0,0,0,0,1],[1,0,0,0,0],[0,0,1,0,0],[0,1,0,0,0]]=>9 [[0,0,0,0,1],[0,0,0,1,0],[1,0,0,0,0],[0,0,1,0,0],[0,1,0,0,0]]=>4 [[0,1,0,0,0],[0,0,0,1,0],[0,0,0,0,1],[1,-1,1,0,0],[0,1,0,0,0]]=>17 [[0,0,1,0,0],[0,1,-1,1,0],[0,0,0,0,1],[1,-1,1,0,0],[0,1,0,0,0]]=>18 [[0,0,0,1,0],[0,1,0,0,0],[0,0,0,0,1],[1,-1,1,0,0],[0,1,0,0,0]]=>14 [[0,0,1,0,0],[0,0,0,1,0],[0,1,-1,0,1],[1,-1,1,0,0],[0,1,0,0,0]]=>19 [[0,0,0,1,0],[0,0,1,0,0],[0,1,-1,0,1],[1,-1,1,0,0],[0,1,0,0,0]]=>15 [[0,1,0,0,0],[0,0,0,0,1],[0,0,0,1,0],[1,-1,1,0,0],[0,1,0,0,0]]=>11 [[0,0,1,0,0],[0,1,-1,0,1],[0,0,0,1,0],[1,-1,1,0,0],[0,1,0,0,0]]=>12 [[0,0,0,1,0],[0,1,0,-1,1],[0,0,0,1,0],[1,-1,1,0,0],[0,1,0,0,0]]=>13 [[0,0,0,0,1],[0,1,0,0,0],[0,0,0,1,0],[1,-1,1,0,0],[0,1,0,0,0]]=>8 [[0,0,1,0,0],[0,0,0,0,1],[0,1,-1,1,0],[1,-1,1,0,0],[0,1,0,0,0]]=>13 [[0,0,0,1,0],[0,0,1,-1,1],[0,1,-1,1,0],[1,-1,1,0,0],[0,1,0,0,0]]=>14 [[0,0,0,0,1],[0,0,1,0,0],[0,1,-1,1,0],[1,-1,1,0,0],[0,1,0,0,0]]=>9 [[0,0,0,1,0],[0,0,0,0,1],[0,1,0,0,0],[1,-1,1,0,0],[0,1,0,0,0]]=>10 [[0,0,0,0,1],[0,0,0,1,0],[0,1,0,0,0],[1,-1,1,0,0],[0,1,0,0,0]]=>5 [[0,0,1,0,0],[0,0,0,1,0],[0,0,0,0,1],[1,0,0,0,0],[0,1,0,0,0]]=>16 [[0,0,0,1,0],[0,0,1,0,0],[0,0,0,0,1],[1,0,0,0,0],[0,1,0,0,0]]=>12 [[0,0,1,0,0],[0,0,0,0,1],[0,0,0,1,0],[1,0,0,0,0],[0,1,0,0,0]]=>10 [[0,0,0,1,0],[0,0,1,-1,1],[0,0,0,1,0],[1,0,0,0,0],[0,1,0,0,0]]=>11 [[0,0,0,0,1],[0,0,1,0,0],[0,0,0,1,0],[1,0,0,0,0],[0,1,0,0,0]]=>6 [[0,0,0,1,0],[0,0,0,0,1],[0,0,1,0,0],[1,0,0,0,0],[0,1,0,0,0]]=>7 [[0,0,0,0,1],[0,0,0,1,0],[0,0,1,0,0],[1,0,0,0,0],[0,1,0,0,0]]=>2 [[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[0,0,0,0,1],[1,0,0,0,0]]=>26 [[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0],[0,0,0,0,1],[1,0,0,0,0]]=>23 [[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[0,0,0,0,1],[1,0,0,0,0]]=>21 [[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0],[0,0,0,0,1],[1,0,0,0,0]]=>22 [[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[1,0,0,0,0]]=>18 [[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0],[0,0,0,0,1],[1,0,0,0,0]]=>19 [[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1],[1,0,0,0,0]]=>15 [[0,1,0,0,0],[0,0,1,0,0],[0,0,0,0,1],[0,0,0,1,0],[1,0,0,0,0]]=>19 [[0,0,1,0,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,0,1,0],[1,0,0,0,0]]=>16 [[0,1,0,0,0],[0,0,0,1,0],[0,0,1,-1,1],[0,0,0,1,0],[1,0,0,0,0]]=>20 [[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,-1,1],[0,0,0,1,0],[1,0,0,0,0]]=>21 [[0,0,0,1,0],[0,1,0,0,0],[0,0,1,-1,1],[0,0,0,1,0],[1,0,0,0,0]]=>17 [[0,0,1,0,0],[0,0,0,1,0],[0,1,0,-1,1],[0,0,0,1,0],[1,0,0,0,0]]=>18 [[0,0,0,1,0],[0,0,1,0,0],[0,1,0,-1,1],[0,0,0,1,0],[1,0,0,0,0]]=>14 [[0,1,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[0,0,0,1,0],[1,0,0,0,0]]=>14 [[0,0,1,0,0],[0,1,-1,0,1],[0,0,1,0,0],[0,0,0,1,0],[1,0,0,0,0]]=>15 [[0,0,0,1,0],[0,1,0,-1,1],[0,0,1,0,0],[0,0,0,1,0],[1,0,0,0,0]]=>16 [[0,0,0,0,1],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[1,0,0,0,0]]=>11 [[0,0,1,0,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,0,1,0],[1,0,0,0,0]]=>12 [[0,0,0,1,0],[0,0,1,-1,1],[0,1,0,0,0],[0,0,0,1,0],[1,0,0,0,0]]=>13 [[0,0,0,0,1],[0,0,1,0,0],[0,1,0,0,0],[0,0,0,1,0],[1,0,0,0,0]]=>8 [[0,1,0,0,0],[0,0,0,1,0],[0,0,0,0,1],[0,0,1,0,0],[1,0,0,0,0]]=>15 [[0,0,1,0,0],[0,1,-1,1,0],[0,0,0,0,1],[0,0,1,0,0],[1,0,0,0,0]]=>16 [[0,0,0,1,0],[0,1,0,0,0],[0,0,0,0,1],[0,0,1,0,0],[1,0,0,0,0]]=>12 [[0,0,1,0,0],[0,0,0,1,0],[0,1,-1,0,1],[0,0,1,0,0],[1,0,0,0,0]]=>17 [[0,0,0,1,0],[0,0,1,0,0],[0,1,-1,0,1],[0,0,1,0,0],[1,0,0,0,0]]=>13 [[0,1,0,0,0],[0,0,0,0,1],[0,0,0,1,0],[0,0,1,0,0],[1,0,0,0,0]]=>9 [[0,0,1,0,0],[0,1,-1,0,1],[0,0,0,1,0],[0,0,1,0,0],[1,0,0,0,0]]=>10 [[0,0,0,1,0],[0,1,0,-1,1],[0,0,0,1,0],[0,0,1,0,0],[1,0,0,0,0]]=>11 [[0,0,0,0,1],[0,1,0,0,0],[0,0,0,1,0],[0,0,1,0,0],[1,0,0,0,0]]=>6 [[0,0,1,0,0],[0,0,0,0,1],[0,1,-1,1,0],[0,0,1,0,0],[1,0,0,0,0]]=>11 [[0,0,0,1,0],[0,0,1,-1,1],[0,1,-1,1,0],[0,0,1,0,0],[1,0,0,0,0]]=>12 [[0,0,0,0,1],[0,0,1,0,0],[0,1,-1,1,0],[0,0,1,0,0],[1,0,0,0,0]]=>7 [[0,0,0,1,0],[0,0,0,0,1],[0,1,0,0,0],[0,0,1,0,0],[1,0,0,0,0]]=>8 [[0,0,0,0,1],[0,0,0,1,0],[0,1,0,0,0],[0,0,1,0,0],[1,0,0,0,0]]=>3 [[0,0,1,0,0],[0,0,0,1,0],[0,0,0,0,1],[0,1,0,0,0],[1,0,0,0,0]]=>14 [[0,0,0,1,0],[0,0,1,0,0],[0,0,0,0,1],[0,1,0,0,0],[1,0,0,0,0]]=>10 [[0,0,1,0,0],[0,0,0,0,1],[0,0,0,1,0],[0,1,0,0,0],[1,0,0,0,0]]=>8 [[0,0,0,1,0],[0,0,1,-1,1],[0,0,0,1,0],[0,1,0,0,0],[1,0,0,0,0]]=>9 [[0,0,0,0,1],[0,0,1,0,0],[0,0,0,1,0],[0,1,0,0,0],[1,0,0,0,0]]=>4 [[0,0,0,1,0],[0,0,0,0,1],[0,0,1,0,0],[0,1,0,0,0],[1,0,0,0,0]]=>5 [[0,0,0,0,1],[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0],[1,0,0,0,0]]=>0
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Description
The osculating paths major index of an alternating sign matrix.
This is the sum of the major indices of the Dyck paths in the tuple of osculating paths in bijection with the alternating sign matrix.
Code
def to_list_of_dyck_words(asm):
    MT = asm.to_monotone_triangle()
    nrows = asm._matrix.nrows()
    output = []
    for n in range(nrows):
        parkfn = [nrows + 1 - row[n] - n for row in list(MT) if len(row) > n]
        output.append(DyckWord(NonDecreasingParkingFunction(parkfn).to_dyck_word().reverse()))
    return output

def statistic(asm):
    maj = 0
    for dyckword in to_list_of_dyck_words(asm):
        maj = maj + dyckword.major_index()
    return maj
Created
Oct 31, 2014 at 15:29 by Jessica Striker
Updated
Dec 14, 2015 at 21:47 by Jessica Striker