[was@modular papers]$ [was@modular papers]$ Magma V2.8-10 Tue Apr 9 2002 23:06:49 on modular [Seed = 1120784914] Type ? for help. Type -D to quit. Loading startup file "/home/was/magma/local/emacs.m" Loading "/home/was/magma/local/init.m" > ; In file "/home/was/magma/packages/modsym/code/calc.m", line 305, column 101: >> Z basis at level %o (using %o generators).\n", Level(M), Bound; ^ User error: bad syntax > ; > M := CS(MS(23)); > HeckeAlgebraZBasis(M); HeckeAlgebraZBasis( M: Modular symbols space of level 23, weight 2, and dimension 4 ) MakeLattice( B: [ [ 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1 ], [ 0, 1... ) In file "/home/was/magma/packages/modsym/code/linalg.m", line 68, column 14: >> X := Mat!B; ^ Runtime error in '!': Sequence argument length (4) should be 64 to be coerced into a matrix > HeckeAlgebraZBasis(M); [ [ 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1 ], [ 0, 1, -1, 0, 0, 1, -1, 1, -1, 2, -2, 1, -1, 1, 0, -1 ], [ -1, -2, 2, 0, 0, -3, 2, -2, 2, -4, 3, -2, 2, -2, 0, 1 ], [ -1, -1, 1, 0, 0, -2, 1, -1, 1, -2, 1, -1, 1, -1, 0, 0 ] ] HeckeAlgebraZBasis( M: Modular symbols space of level 23, weight 2, and dimension 4 ) MakeLattice( B: [ [ 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1 ], [ 0, 1... ) In file "/home/was/magma/packages/modsym/code/linalg.m", line 68, column 14: >> X := Mat!B; ^ Runtime error in '!': Sequence argument length (4) should be 64 to be coerced into a matrix > HeckeAlgebraZBasis(M); HeckeAlgebraZBasis( M: Modular symbols space of level 23, weight 2, and dimension 4 ) In file "/home/was/magma/packages/modsym/code/calc.m", line 307, column 14: >> T := [V!Eltseq(HeckeOperator(M,n)) : n in [1..Bound]]; ^ Runtime error in '!': Sequence argument length (16) should be 4 to be coerced into a matrix > B := HeckeAlgebraZBasis(M); Lattice of rank 2 and degree 16 Basis: ( 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1) ( 1 1 -1 0 0 2 -1 1 -1 2 -1 1 -1 1 0 0) > B := HeckeAlgebraZBasis(M); > B; [ [1 0 0 0] [0 1 0 0] [0 0 1 0] [0 0 0 1], [ 1 1 -1 0] [ 0 2 -1 1] [-1 2 -1 1] [-1 1 0 0] ] > M := CS(MS(389,2,+1)); > B := HeckeAlgebraZBasis(M); > #B; 32 > B; [ [1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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0 0 1 1 -1 0 0 0 0 0 1 0 -1 2 -1 0 0 0 0 0 0 1 -1 1 -1] [0 0 0 0 0 1 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 -2 2 -1] [0 -2 0 0 0 2 -2 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 -2 0 0], [2 0 -1 -1 2 -1 1 2 0 0 0 0 -2 0 0 1 0 0 -1 0 1 1 -3 2 -1 1 0 0 -1 0 0 1] [-2 2 0 -1 1 -1 0 -2 3 -1 -4 3 -1 0 2 1 -2 1 2 -1 -3 0 2 1 -1 3 -1 0 -3 1 0 0] [-2 2 0 -1 1 -1 0 0 3 -1 -2 3 -1 0 2 1 -2 1 2 -3 1 0 0 1 -1 3 -1 0 -3 1 0 0] [-3 0 1 -2 1 -1 -1 -2 2 -1 -2 4 0 0 0 -2 -2 1 1 -1 -1 -1 4 -4 3 2 -1 1 -3 1 -1 1] [1 -1/2 3/2 -1 1 -2 0 -3 3 -1 -1 3 -3 2 -1 -1 0 0 1 0 -2 0 2 -2 2 1 0 -1 -1 1 -2 3/2] [0 0 0 1 -1 2 -2 -1 0 1 0 0 -2 2 0 -1 -1 -1 1 1 -1 0 2 0 -2 1 1 -1 0 0 -2 3] [0 1 -1 1 -1 0 0 1 0 -2 1 0 -2 1 0 0 -1 -1 1 0 -1 3 0 0 -2 1 0 -1 0 1 -1 1] [-2 1/2 1/2 0 -1 0 -1 0 0 0 0 2 0 0 3 -2 -2 1 0 -1 1 -1 2 -2 0 1 0 1 -1 0 0 0] [-1 3/2 3/2 -1 1 -1 -1 -1 1 -1 -1 1 -1 1 3 -1 -2 1 0 1 -1 0 1 0 -1 0 0 0 -1 2 -1 0] [-1 5/2 -1/2 -1 1 1 -2 -1 1 0 0 1 -1 0 3 0 -2 1 2 0 -1 -1 1 2 -2 1 -1 0 -1 2 -2 1] [0 -1 0 -1 1 -2 1 1 1 0 0 3 -2 -1 1 3 -1 -1 1 -1 1 1 -2 0 0 2 -2 0 0 0 -1 1/2] [-1 1/2 1/2 -1 2 -2 0 -1 2 -2 -1 1 -1 1 0 0 -1 2 0 0 -2 1 0 -1 1 0 1 -1 0 2 -2 1/2] [1 -1/2 1/2 -1 0 1 -2 1 -1 0 2 -1 -2 1 0 1 0 -2 1 1 0 2 -2 1 -2 -1 0 -1 1 3 -3 5/2] [-2 0 1 -1 0 1 -2 -4 3 0 0 0 2 0 0 -1 -1 1 1 1 0 -3 3 -2 0 -1 2 -1 1 3 -3 0] [-2 2 1 -1 -1 -2 -1 -2 4 -1 0 0 0 1 -1 0 -2 1 -1 0 2 -1 3 -3 0 1 -1 -1 0 3 -1 0] [2 -1 0 -2 -1 2 -1 0 -2 2 3 0 -2 1 0 -1 1 -1 -1 1 2 0 0 0 -1 0 0 -1 1 1 -2 2] [-1 1/2 1/2 -1 0 0 -2 -1 0 0 0 -1 0 0 1 1 -2 0 -1 1 0 1 1 0 -2 0 -1 -1 1 2 -1 3/2] [-2 1/2 1/2 -1 2 -2 -1 -3 2 -1 -3 2 -1 1 1 -1 -1 2 -1 1 -3 0 3 -2 1 1 1 -2 1 1 -2 1/2] [0 0 1 0 0 1 -1 -2 -1 1 -1 -1 0 2 -1 -1 0 1 -1 1 -2 0 1 0 1 -1 2 -2 1 0 -1 1] [2 1/2 1/2 -1 1 1 -1 -1 0 1 0 -1 -3 2 0 1 0 1 -1 1 -1 1 -1 3 0 -2 1 -2 0 2 -3 5/2] [2 -2 2 0 0 1 -1 -2 -1 1 0 -2 -1 2 -2 0 1 0 -2 2 -1 0 0 0 2 -2 2 -2 1 1 -2 2] [1 -1/2 1/2 -1 1 2 -1 -3 0 1 0 0 -2 1 -1 3 -1 0 0 2 -1 -1 -1 2 0 1 0 -2 0 3 -4 3] [2 -1 -1 0 -1 4 -1 -2 -2 3 1 -1 -3 2 -1 0 1 0 -2 2 1 -2 0 1 0 0 2 -3 2 1 -3 3] [2 -1 0 0 0 3 -1 -1 -2 3 0 -2 -1 1 -2 1 1 0 -1 2 0 -1 -1 2 0 -1 1 -2 2 1 -2 2] [0 0 0 1 -1 1 -2 1 -1 2 1 -1 -1 0 0 1 -2 0 -1 0 3 0 0 0 -1 1 -1 -1 1 1 -1 2] [2 1 0 -1 1 1 0 0 0 1 0 -1 -2 1 0 2 -1 1 0 -1 1 1 -2 3 -1 0 0 -2 1 3 -2 1] [0 1 0 -1 -1 1 0 -4 3 0 0 1 -1 3 -1 -1 -1 1 0 -1 2 -3 4 -3 1 2 0 -2 1 3 -2 0] [-1 1/2 -1/2 0 0 0 -1 -1 1 0 -1 0 0 1 -1 0 0 1 -2 0 1 -1 0 -2 2 1 1 -2 1 3 -2 -1/2] [-3 1 0 0 0 -1 -1 -4 3 -1 -2 1 0 2 0 -2 0 2 -1 -1 -1 -2 4 -4 2 2 2 -3 3 2 -2 -1] [-2 -1 0 0 0 1 -3 -2 0 1 -1 2 1 0 1 -1 -1 0 0 -1 0 -1 3 -3 1 3 0 0 0 1 -3 2] [2 -3/2 -1/2 0 0 3 -3 0 -2 3 2 0 -2 0 -1 1 2 -2 0 0 2 -1 -1 1 1 0 0 -2 2 1 -4 3] [0 0 0 0 0 2 -2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 -2 0 4 -2 0], [1 -1 -1 0 -1 3 -2 0 -2 2 2 -1 0 0 0 -2 0 -1 -1 3 1 -1 1 -1 0 -1 1 -1 2 0 -2 1] [-1 0 -1 1 -1 1 -3 1 -1 -1 2 2 2 -2 0 -1 1 -2 0 0 1 0 0 -1 0 2 -1 0 0 -1 0 0] [-1 0 -1 1 -1 1 -3 1 -1 -1 2 2 0 -2 2 -3 3 -2 0 0 1 0 2 -1 -2 2 -1 0 0 -1 0 0] [0 -3/2 -3/2 2 0 2 -3 3 -3 1 2 2 -1 -3 2 -3 1 -2 1 1 0 0 1 1 -2 1 1 0 0 -3 -1 5/2] [-1 1/2 -3/2 2 -1 1 -1 1 0 -1 1 2 -1 -1 1 -1 1 -1 0 -1 1 -1 2 0 -1 2 -1 1 -1 -2 1 1/2] [0 1/2 -1/2 -1 1 0 -1 1 0 -3 -1 2 0 -1 -1 -1 1 0 -1 0 -1 1 0 -2 2 1 -2 0 -1 0 2 -1/2] [0 1/2 -1/2 -1 1 0 -1 1 0 -2 0 2 0 0 1 -4 1 0 1 -1 -1 0 2 0 0 1 -1 -2 -1 1 1 -1/2] [3 -1/2 -5/2 1 2 1 -1 1 -1 0 1 0 -2 0 0 -2 3 -3 1 1 -1 -1 -1 2 -1 1 -1 0 1 0 0 3/2] [2 1 -2 -1 1 1 -1 2 -1 -2 0 0 -1 0 0 -1 3 -2 -1 1 0 0 -3 1 -1 1 -1 -1 1 1 2 0] [2 0 -1 -1 1 1 -2 2 -2 -1 2 1 -1 -1 1 -1 3 -3 1 -1 0 0 -2 2 -1 1 -2 1 0 1 0 1] [0 2 -2 1 1 0 -1 -1 1 -1 -1 1 0 0 -1 -4 5 -2 0 0 0 -2 1 0 -2 2 1 0 1 0 2 -1] [2 1/2 -1/2 0 1 0 -1 -1 0 0 1 0 0 -1 -2 -1 2 -3 0 1 -1 -1 0 1 2 -2 0 0 2 0 0 1/2] [2 2 -1 -2 0 0 -1 1 0 -1 3 -1 0 0 1 -3 3 -3 0 2 1 -1 -1 2 -2 -1 0 -2 3 1 0 -1/2] [2 0 1 -3 3 -3 1 1 0 -1 -1 -2 0 -1 -1 1 2 -2 -1 1 -2 2 -3 2 1 -3 0 1 1 1 1 -1/2] [2 -1/2 1/2 -2 2 -1 -1 1 0 -1 -1 -2 1 0 -1 -1 2 -1 -1 1 -1 1 -2 1 0 -1 0 -2 2 1 2 -1/2] [1 0 -1 0 3 -1 -2 -1 1 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0 0 -1 3 -2] [3 -3/2 -3/2 0 0 1 -1 5 -4 2 3 0 -1 -2 0 2 1 -3 0 0 2 2 -5 3 0 0 -2 0 1 -2 2 1/2] [4 -2 -1 0 0 1 0 4 -2 3 4 0 -3 -1 1 0 3 -4 2 0 2 -1 -3 5 -2 -1 -1 0 2 -3 2 1] [2 0 -1 0 0 0 0 3 0 -1 2 1 -3 0 1 -1 3 -3 2 0 0 1 -2 3 -1 -1 0 0 1 -2 3 0] [2 0 -2 0 0 0 0 6 -2 0 2 0 -2 0 2 -2 2 -2 0 0 2 2 -4 4 -2 0 0 -4 2 -2 4 -1], [2 0 0 -1 0 0 0 1 1 -2 0 -2 0 1 0 -1 0 1 -1 2 0 1 -1 0 -1 0 0 -1 1 0 1 0] [-1 1 0 0 0 -1 0 3 0 -3 -1 1 0 -1 0 -1 0 1 1 1 -2 3 -2 1 0 1 -1 2 -1 -1 1 -1] [1 0 -1 0 0 1 -2 3 -2 1 3 1 0 -1 2 -3 0 -1 3 -1 2 1 0 1 -2 1 -1 2 -1 -1 -1 1] [-1 1 0 0 -1 -1 -1 0 1 0 2 0 0 0 2 0 1 -2 1 -1 2 0 0 1 -4 2 -1 2 0 0 -1 0] [2 -1/2 3/2 -1 0 -1 0 1 0 1 3 0 -2 1 0 -1 2 -3 1 0 2 1 -1 3 -3 -1 0 2 1 -1 -1 1/2] [2 1 0 -2 -1 -1 -2 1 1 -4 0 -3 2 2 -2 -2 -2 0 1 4 -3 4 0 -4 2 -1 -1 -1 2 1 -1 1] [0 1 0 -2 -1 -1 0 1 1 -3 1 -1 0 1 0 -3 0 0 1 1 -1 3 2 -2 -2 1 -2 1 0 2 -2 0] [0 -1/2 1/2 -1 0 1 -3 1 -2 1 1 0 0 -1 1 0 1 -1 0 0 1 1 -1 0 0 0 0 0 1 0 -3 3/2] [2 -1/2 -1/2 -1 1 1 -4 2 -2 -2 -1 -2 1 0 -1 -1 -2 1 0 4 -3 4 -2 -3 4 -1 0 -2 2 0 -3 5/2] [0 -1/2 1/2 -1 1 1 -2 4 -3 1 2 2 -2 -2 1 -1 1 -1 2 -1 1 2 -2 3 0 0 -2 2 0 -1 -2 3/2] [-1 1/2 1/2 0 0 0 0 0 -1 1 1 2 0 -1 -1 0 0 0 0 -1 2 0 0 1 0 1 -1 2 0 -1 0 -1] [-2 3/2 1/2 -1 0 -1 0 -2 1 -1 0 2 0 0 -1 1 0 1 1 -2 0 0 1 -2 1 2 -1 2 -2 1 1 -3/2] [0 0 -1 0 -1 2 -3 2 -2 -2 1 0 0 0 -1 -4 -2 2 1 1 -1 3 3 -5 1 2 -2 1 -1 0 -1 2] [-1 0 0 1 0 1 0 -2 0 1 0 2 0 0 -1 1 -2 1 0 -2 2 -2 2 -2 2 1 -1 1 -2 0 1 0] [1 1/2 -1/2 0 -1 0 -2 2 0 -2 -1 -3 1 1 -3 -1 -4 3 -3 3 0 3 1 -4 2 1 -3 -1 2 0 0 2] [1 0 -1 1 0 1 -1 2 -2 1 1 2 -4 0 -1 0 2 -2 -2 0 2 1 -1 2 0 0 0 1 1 -2 -1 2] [0 1 -1 0 -1 1 -2 0 -1 0 0 0 0 0 -4 -1 -2 2 -3 2 1 0 2 -4 4 1 -2 -1 1 1 -2 2] [2 0 -1 -1 0 1 -3 2 -3 1 1 -1 1 -1 1 0 -1 0 -1 1 0 2 -1 -1 0 1 -2 -2 3 0 -1 2] [2 -1 0 0 0 2 -2 2 -3 1 0 -2 1 0 -1 1 -1 0 -2 2 -1 2 -3 0 1 -1 0 -2 3 -1 -1 2] [2 1/2 -3/2 0 0 2 -5 1 -2 -1 1 -1 1 -1 1 -2 -1 0 -1 2 -1 3 1 -3 1 0 -1 0 2 -1 -2 5/2] [2 -1 0 0 0 1 -1 -2 0 1 0 -2 0 1 -1 0 0 0 -3 2 0 -1 1 -2 1 -1 1 -1 1 1 0 1] [0 1/2 -1/2 -1 1 0 -2 0 -1 -2 -2 -1 2 -1 -1 0 -3 2 -2 3 -3 3 0 -3 3 0 -1 0 1 1 0 1/2] [-1 0 1 -1 0 0 0 -2 -1 3 1 1 -1 -1 0 1 2 -1 -4 -1 4 -2 1 1 -1 0 0 2 0 1 0 -1] [-3 1/2 1/2 0 0 0 -1 -5 0 4 0 2 1 -1 -1 2 -1 1 -2 -3 3 -4 4 -4 2 2 -1 1 -2 2 1 -1] [0 1 0 -2 -1 1 -4 -1 0 0 0 -2 2 0 -3 1 -2 1 -3 2 1 1 1 -5 3 1 -3 -1 3 2 -1 1] [1 0 -1 0 0 2 -4 1 -3 2 2 0 1 -2 0 0 -1 0 -1 0 2 1 0 -1 1 1 -2 0 2 0 -2 2] [0 0 0 0 0 1 -2 0 -1 2 2 2 -2 -1 -1 1 2 -3 -2 -1 4 0 0 1 -1 0 0 2 1 -1 -1 1] [-3 2 0 0 0 -1 -1 -3 0 1 -1 3 1 -1 0 1 -1 0 -2 -2 2 -1 3 -3 2 1 -1 1 -1 1 2 -3/2] [0 -1/2 -3/2 0 0 2 -4 2 -5 2 1 0 1 -2 1 1 -1 0 0 -1 0 3 -1 -2 1 2 -2 0 2 -1 0 3/2] [-2 0 0 0 0 1 -3 0 -3 2 0 2 0 -2 1 1 0 0 -2 -2 2 1 1 -1 1 2 -2 2 0 0 -2 1] [1 0 -1 0 0 3 -5 3 -5 1 1 0 1 -2 2 0 -1 -1 -1 0 1 4 -1 0 0 0 -2 2 3 -3 -1 3/2] [0 0 -2 0 0 2 -4 4 -4 -2 -2 -2 2 -2 2 0 -2 2 -2 2 -2 6 -2 -2 0 2 -2 0 2 0 -2 1], [0 2 -3 0 0 0 1 2 0 0 1 -1 0 1 0 -1 0 0 -1 0 2 1 -2 0 -2 2 0 0 0 0 1 -1] [2 2 -2 1 -2 -1 2 3 -2 1 2 1 -2 0 0 -2 2 -1 1 0 4 1 -3 0 -2 0 2 -1 1 -1 2 -1] [0 2 -2 1 -2 -1 2 3 -2 1 2 1 0 0 0 -2 0 1 1 -2 6 1 -3 0 -2 2 2 -1 -1 -1 2 -1] [2 2 -2 0 -2 0 1 4 -2 2 4 -2 0 1 0 -1 2 -1 0 -1 6 1 -5 3 -5 0 2 -1 1 0 1 0] [1 3/2 1/2 0 -3 -2 1 -1 1 1 2 1 0 0 0 -1 0 0 2 -1 3 0 -1 0 -2 -1 2 0 -1 1 1 -1/2] [1 2 0 -1 -2 -3 1 1 0 -1 0 0 1 2 -2 -1 -1 0 2 0 2 2 -1 -3 1 0 1 -1 0 1 1 -1] [3 0 0 -1 -2 -1 1 5 -3 3 2 1 -2 1 1 -3 2 -3 2 0 6 1 -2 0 -4 0 0 -1 1 0 1 1] [3 0 -3 1 -2 1 1 1 -1 3 3 -1 0 0 0 -1 1 -2 1 0 3 0 -4 3 -3 0 2 -1 1 1 0 0] [2 1 -2 0 0 -2 1 3 -2 -1 -2 2 0 1 -1 -1 0 -1 2 1 -1 3 -2 -1 1 1 1 -2 0 0 1 -1] [2 1 -2 0 0 -1 1 3 -2 1 0 2 -1 0 0 -1 1 -1 2 -1 1 1 -1 0 -1 1 0 0 0 -1 1 0] [-1 3/2 -1/2 1 -1 -2 -1 -2 1 -1 -1 3 2 -1 0 -2 -1 0 2 0 -1 0 2 -2 1 1 1 -1 -2 2 1 -2] [1 1/2 -1/2 0 1 -1 0 -1 1 0 1 0 1 1 -2 0 0 -2 2 1 -1 0 -1 1 1 -1 0 1 0 1 -1 1] [2 -2 -1 2 -2 1 -1 2 -2 2 2 3 -1 0 -1 -4 0 -3 3 1 2 1 1 -2 -1 1 0 -1 0 0 0 2] [1 -3 1 1 0 2 -1 -2 0 1 0 2 0 -1 -1 0 -1 -1 2 0 -2 0 1 0 1 -1 0 1 -1 1 -1 3/2] [1 1/2 -1/2 0 -1 -1 0 2 -1 0 0 2 -1 1 -2 -2 -1 -1 2 0 1 2 1 -3 0 1 -1 -1 0 0 1 3/2] [-2 3/2 -5/2 2 -1 0 0 0 0 1 0 3 -1 0 -1 -2 0 0 0 -2 3 1 -1 -2 0 2 1 0 -2 0 2 -1/2] [0 0 -1 2 -2 0 0 2 -2 2 1 3 -2 0 -2 -3 1 -1 1 0 4 1 0 -3 0 1 0 -1 0 -1 1 1] [0 0 -1 0 1 1 -1 3 -3 1 0 0 -1 0 0 -1 2 -1 -1 1 1 3 -3 0 -2 1 -1 0 1 0 0 0] [0 0 0 0 0 2 0 3 -2 1 1 0 -2 0 0 0 2 0 -2 -1 3 1 -3 1 -2 0 0 0 1 -2 1 3/2] [0 1 0 1 -1 0 0 0 1 -1 1 2 0 -1 -1 -1 1 0 1 -1 1 0 -1 0 -1 0 1 1 0 -2 1 3/2] [-1 -1 3 0 0 1 0 0 0 -1 0 1 -1 0 -1 1 1 0 0 -1 0 1 -1 0 0 -1 0 1 0 -1 0 3/2] [-2 1 2 0 0 -2 0 1 0 -3 -3 4 1 0 -1 0 -1 1 2 -2 -1 3 0 -3 2 1 0 0 -2 0 2 -1] [-3 3/2 -1/2 1 -2 -1 1 -1 2 0 0 3 1 -1 1 -1 0 0 0 -3 3 0 -1 0 -2 2 1 0 -2 1 3 -5/2] [-3 -1/2 5/2 0 0 -1 0 -2 3 -3 -2 3 1 -1 0 1 -1 0 0 -1 -3 0 2 0 1 1 -1 0 -1 1 1 -3/2] [-1 1 1 -1 -2 -1 0 1 1 -2 -1 4 0 0 -1 0 0 -2 2 -1 0 2 0 -2 -1 2 -1 -1 0 1 2 -1] [-2 0 1 1 -2 0 -1 -1 1 -1 0 4 2 -2 0 0 -2 0 3 -2 0 0 1 -2 0 3 0 1 -2 0 0 0] [-1 1/2 -1/2 1 -1 1 -1 0 0 0 1 3 0 0 -1 0 0 -3 2 -1 1 1 -1 -1 -1 2 0 1 -1 1 0 0] [1 -1/2 -5/2 0 0 4 0 6 -6 3 1 2 -2 0 0 0 2 -3 0 0 3 3 -6 2 -4 2 0 2 0 -1 1 0] [1 1/2 -3/2 0 0 2 0 6 -5 2 1 1 -1 0 0 0 1 -2 1 0 2 3 -6 3 -2 0 0 1 0 -1 1 1] [2 0 -1 0 0 2 0 4 -4 2 3 0 0 1 -1 0 0 -2 2 -1 2 2 -5 3 -1 -1 1 0 0 1 -1 2] [-1 3/2 1/2 0 0 -2 0 0 0 -2 -1 3 1 0 0 0 -1 -2 3 0 -2 2 0 -1 2 -1 0 0 0 0 1 -1/2] [2 -2 0 0 0 0 0 6 -6 2 0 4 -2 0 2 -2 2 -6 4 2 2 4 -4 0 -2 0 0 -2 2 0 0 1], [1 0 -3 2 0 2 -2 0 -1 2 2 -3 1 0 -2 0 0 -1 -2 1 2 0 -2 0 1 0 0 -1 3 -1 -2 2] [2 1/2 -1/2 1 -1 2 -2 0 -2 0 1 -2 1 1 -3 1 1 -1 -1 3 0 0 -1 0 1 -2 2 -2 3 -1 -3 3/2] [0 3/2 -3/2 1 -1 0 0 0 0 0 1 -2 1 1 -3 1 1 1 -1 1 2 -2 -1 0 1 0 2 -2 1 -1 -1 1/2] [0 5/2 -3/2 1 -1 0 1 2 -1 0 1 -1 0 1 -3 -1 1 3 -2 -1 3 -1 -1 0 1 0 2 -1 -1 -1 1 -1/2] [0 1 1 0 0 -1 0 1 -1 -1 -1 0 -1 2 -4 1 2 0 0 1 -1 -1 0 -1 4 -1 1 -1 0 0 -1 0] [1 3/2 -1/2 0 -1 -1 -1 3 -2 -2 -2 -1 1 1 -1 1 -2 2 1 2 -3 3 -1 -1 2 -1 1 -2 1 -2 0 1] [-1 -1/2 3/2 0 -1 -1 -1 3 -2 0 -2 1 1 -1 1 1 -2 2 1 0 -1 1 1 -1 0 1 -1 0 -1 -2 0 1] [0 0 -1 1 0 -1 2 1 0 -1 1 -3 0 2 0 -1 -1 1 0 2 -1 1 1 -1 0 0 0 1 0 -1 1 -3/2] [1 0 0 0 -3 0 0 4 -2 -2 -1 -1 2 0 2 0 -2 2 2 1 -2 3 0 -1 -2 0 1 0 0 -3 3 -1] [1 0 0 0 -3 1 2 2 0 0 0 0 0 1 0 1 0 1 0 0 2 -1 0 1 -3 0 2 0 -1 -2 2 -1] [0 0 1 1 -3 0 1 1 1 -1 2 0 -2 1 -2 2 2 -1 1 2 1 -2 -1 0 1 -1 2 0 -1 0 -1 -1] [-2 3/2 -3/2 2 -2 0 0 -4 3 1 1 0 0 1 -2 1 -1 -1 -2 1 3 -3 2 -3 3 0 1 0 1 -1 -2 -1/2] [0 -1/2 1/2 1 -1 -1 -2 -2 2 -1 -1 -1 1 0 -1 2 0 -2 0 3 -2 0 2 -3 1 1 -1 -1 3 -1 -3 1/2] [-1 0 1 -1 0 -1 1 -2 3 -1 -1 1 -2 1 0 2 1 -2 1 1 -2 -1 2 -1 1 0 -1 0 1 1 -1 -3/2] [1 -1/2 1/2 -1 -2 0 0 2 1 -2 0 -1 -1 1 0 1 0 0 1 2 -1 1 0 -1 -1 0 0 -1 1 -1 0 1/2] [-1 1 0 0 -1 -1 3 -1 3 -1 2 -2 -2 3 -2 1 1 -1 -1 2 1 -1 0 0 1 -1 0 1 0 0 1 -2] [0 -1/2 1/2 1 -1 -2 1 0 3 -3 0 -2 0 1 1 -1 1 -1 2 2 -2 1 2 -1 -3 1 0 1 0 -1 2 -3/2] [1 -1 -1 2 -2 1 1 -1 3 -1 2 -3 -2 2 0 -2 1 -1 0 3 0 -1 1 -1 -1 -1 2 -1 1 0 0 0] [0 0 -1 0 0 1 1 2 1 -2 0 -1 -2 1 1 -2 2 1 0 0 -1 1 -1 1 -3 1 1 0 -1 -1 3 0] [0 0 -2 1 -3 3 0 3 0 -1 2 -1 -2 1 -1 1 2 0 0 2 1 -1 -2 0 -2 2 2 -1 0 -3 1 1] [0 0 0 0 0 1 -1 0 0 0 0 1 -2 0 0 0 2 -1 -1 0 0 0 0 0 0 0 0 -1 1 -1 0 1] [1 1 0 0 -3 1 0 2 1 -2 -1 1 -2 1 -1 2 2 0 0 1 0 0 -1 0 0 -1 2 -2 0 -2 1 0] [-1 1/2 -1/2 1 0 0 2 -2 3 0 1 0 -4 3 -3 1 3 -1 -1 1 1 -3 1 0 2 0 1 0 -1 0 -1 -1/2] [0 -1/2 1/2 0 0 1 0 -4 3 0 0 2 -3 1 -1 0 3 -2 0 0 0 -3 3 -1 0 0 1 0 -1 1 -1 0] [1 -1/2 1/2 0 -1 0 0 1 2 -4 -2 1 -2 1 0 0 1 0 1 2 -3 1 2 -2 -1 0 1 0 -1 -2 2 0] [0 -1/2 -1/2 1 -1 0 0 -2 4 -3 -1 0 -1 1 -1 -1 3 -1 1 3 -2 -3 3 -2 -1 1 2 0 -1 -1 1 -1/2] [-2 1 0 1 -1 -1 2 -5 6 -2 0 1 -3 2 -3 0 3 -1 0 2 -1 -4 3 -2 2 0 1 1 -1 1 1 -5/2] [0 1 -1 0 0 -1 2 -4 6 -2 -1 2 -4 2 -3 1 4 -2 0 1 -1 -4 1 -1 2 0 2 0 -1 1 0 -1] [-1 5/2 -1/2 0 0 -2 1 -5 7 -4 -3 0 -1 3 -2 -1 1 1 -2 2 -1 -3 3 -4 3 -1 3 -1 -1 1 0 -3/2] [0 2 -1 0 0 -2 4 -2 5 -3 -1 -2 -3 3 -2 -1 3 2 -2 1 0 -2 0 0 0 -1 3 0 -2 1 3 -3] [0 0 0 0 0 -2 3 -4 7 -5 -3 0 -4 3 -5 2 4 0 1 3 -4 -2 -1 -2 4 0 3 -1 -2 2 1 -2] [0 -2 2 0 0 -2 0 -4 4 -4 -4 0 0 0 0 0 0 0 2 4 -6 0 4 -4 2 0 0 0 0 0 0 -1], [0 3/2 -3/2 0 -1 1 1 3 -1 0 1 -1 0 0 1 -1 0 1 -1 0 2 0 -2 2 -3 1 1 0 0 -1 1 -1/2] [6 -2 -2 2 -2 3 3 7 -6 3 6 -4 -3 -1 -1 0 4 -3 -1 2 5 2 -8 7 -6 0 1 -1 5 -3 0 1] [2 1 -3 2 -2 1 3 3 -2 1 4 -2 -1 -1 -1 0 2 -1 -1 0 5 0 -4 3 -4 2 1 -1 3 -3 2 -1] [2 1 -2 1 -1 1 1 2 -2 1 4 -3 -1 0 -1 -1 3 -1 -2 2 3 0 -4 3 -3 -1 2 -1 3 -1 0 0] [2 -1 1 1 -1 0 1 2 -2 1 2 -2 -1 0 0 -1 2 -1 -1 2 1 1 -3 3 -2 -2 1 0 2 -1 0 0] [4 -3/2 -1/2 0 0 0 2 3 -3 1 2 -3 -2 0 0 0 2 -2 -1 2 1 2 -4 3 -2 -1 0 -1 3 -1 0 1/2] [0 3/2 1/2 0 0 -2 2 1 1 -1 -2 1 -2 0 0 0 2 -2 -1 2 1 0 -2 1 0 -1 0 1 1 -1 2 -3/2] [2 1/2 -3/2 0 0 0 1 1 -1 0 1 -1 -1 0 -1 0 2 -1 -1 1 0 0 -3 2 -1 0 1 -1 2 0 0 0] [4 -5/2 -3/2 0 1 1 1 1 -3 1 2 -2 -2 0 -1 0 2 -3 0 3 -1 1 -3 2 -1 0 0 -2 4 0 -2 3/2] [4 -5/2 -3/2 0 1 2 2 3 -4 2 3 -2 -2 -1 -2 2 2 -3 0 2 1 1 -6 5 -2 0 -1 0 4 -1 -1 3/2] [-2 1/2 1/2 2 0 -1 -2 -1 1 -1 -1 0 3 -2 1 -3 0 1 0 1 -1 -1 2 0 -1 1 0 0 0 1 0 -3/2] [-1 0 0 0 1 -1 -2 1 -1 1 0 0 2 -2 2 -2 0 1 0 0 0 -1 1 0 -1 0 -1 1 -1 0 0 1] [0 -1/2 -1/2 1 0 0 -1 0 -1 0 0 1 0 -2 1 -2 1 -1 0 3 -1 -1 1 0 -1 0 0 0 1 -1 0 1/2] [0 -3/2 1/2 -1 2 -1 -1 -1 0 0 -1 1 1 -2 1 0 -1 0 1 0 -2 0 2 -1 1 -1 -2 1 -1 1 0 1/2] [1 -1/2 -1/2 0 1 -1 2 2 -1 -1 -1 0 -1 -1 0 0 1 -1 0 1 -1 2 -2 2 -1 0 -1 0 2 -1 1 -1/2] [-1 1/2 1/2 0 1 -1 0 3 -2 0 -2 0 0 -1 1 -2 1 2 -2 0 0 1 -2 2 -1 0 0 0 -1 0 1 0] [0 -1/2 -1/2 1 0 1 -1 2 -3 1 1 1 -1 -2 0 -1 2 -1 0 2 1 0 -2 1 -1 0 0 0 1 -1 -1 3/2] [-1 0 0 0 1 0 -3 3 -4 1 0 1 1 -2 1 -1 1 0 0 0 0 2 -2 -1 0 0 -1 1 -1 0 0 1] [2 -1 0 0 0 1 0 4 -4 2 2 -1 -2 0 0 0 2 -1 -1 0 2 2 -4 2 -1 -1 0 0 1 -2 0 2] [2 -3/2 -3/2 2 0 1 -1 1 -3 2 3 -2 1 -2 0 -2 2 -1 0 1 1 0 -1 1 -3 1 0 0 2 -2 -1 5/2] [0 0 1 0 0 -1 0 0 -1 0 0 0 -1 0 1 -1 1 0 0 0 -1 1 1 -1 0 -1 0 0 0 -1 0 1] [0 -1/2 1/2 0 1 -1 0 1 -2 0 0 -1 0 -2 2 -1 0 0 0 1 -1 1 0 1 -1 0 -2 0 1 0 0 1/2] [-2 3/2 1/2 0 0 -2 0 2 -1 -1 -1 1 1 -2 2 -1 0 1 -1 -1 0 1 -1 1 -1 1 -1 1 -2 0 2 -1] [-2 0 0 0 0 -1 -2 -2 0 0 0 2 2 -2 2 0 -2 0 2 -2 -2 0 4 -3 1 2 -2 0 -2 1 0 0] [0 -1/2 -1/2 0 0 -1 1 1 -1 0 0 0 0 -2 2 0 0 -1 1 0 -1 1 0 1 -2 2 -2 -1 2 0 0 -1/2] [-2 1 -1 2 -2 -1 0 1 0 0 1 1 2 -4 2 0 -1 0 1 -1 1 -1 1 0 -2 4 -2 1 0 -2 1 -1] [-1 1 0 1 -1 -2 1 4 -1 0 0 0 1 -3 3 -1 0 1 -1 -1 2 0 -1 2 -3 2 -2 1 -1 -1 2 -3/2] [0 0 -2 0 0 0 0 4 -4 3 1 0 0 -2 4 -2 0 0 0 -1 2 1 0 0 -4 2 -2 1 0 -1 1 0] [-2 1 0 0 0 -2 -1 6 -4 2 0 1 1 -3 4 -1 -1 1 0 -2 2 2 -2 0 -1 1 -3 2 -2 -1 2 0] [0 2 -1 0 0 -2 2 4 -2 0 0 -1 -1 -1 1 0 1 1 -2 0 0 2 -3 3 -1 -1 -1 0 1 -1 2 -1] [0 -1 1 0 0 -1 1 4 -3 1 0 -1 1 -2 3 -1 -1 1 0 0 0 2 -1 3 -3 0 -2 0 1 -1 1 0] [0 0 0 0 0 -2 2 4 -2 0 -2 2 -2 -2 2 0 2 -2 0 2 0 2 -2 2 -2 0 -2 0 2 -2 2 -1], [1 -1 1 0 -1 1 0 0 0 -1 0 0 -1 0 0 -1 1 0 1 2 -2 -1 1 0 0 -1 1 0 0 0 0 0] [0 -1 0 1 -1 1 1 2 -1 0 2 -2 0 -1 -2 1 2 0 -1 1 1 0 -4 2 -1 1 0 1 1 -1 1 -1/2] [0 0 1 1 -1 -1 1 -2 1 0 0 -2 0 -1 -2 1 2 0 -3 3 -1 -2 0 0 1 -1 0 -1 3 -1 1 -3/2] [-1 -1/2 -1/2 3 0 0 0 -2 0 0 -1 0 -1 -2 -1 0 0 1 -2 3 -2 -2 2 -1 2 0 0 0 1 -2 0 0] [-1 0 -1 2 0 1 1 0 0 1 0 -1 0 -1 -2 1 0 1 -3 1 2 -2 -1 1 1 0 0 0 1 -2 1 -1/2] [0 1 -1 0 1 -1 2 -1 2 -2 -1 -1 -1 -1 -1 0 1 1 -3 2 -1 -1 0 0 2 -1 -1 0 1 -1 2 -3/2] [-2 2 0 0 1 -2 3 -3 3 -2 -3 -2 0 0 -2 0 0 4 -5 2 -1 -2 1 -1 3 -1 0 0 0 0 2 -5/2] [-1 1 0 0 1 0 -1 -1 -1 0 -2 0 1 -2 -1 1 -1 2 -3 1 -1 -1 1 -1 2 0 -1 0 1 -1 0 0] [0 1/2 -1/2 -1 1 1 -1 -2 0 0 1 -3 1 -1 -1 1 0 0 -3 2 0 -1 -1 0 1 -1 -1 0 3 0 -1 1/2] [0 -3/2 3/2 -1 1 1 0 0 -3 2 1 -3 1 -1 -3 3 0 0 -3 2 0 0 -5 2 2 -1 -1 0 3 1 -1 1/2] [-2 3/2 -1/2 1 0 1 -2 -2 0 1 0 -1 2 -1 -2 0 1 1 -3 0 1 -2 0 0 1 1 0 0 2 -1 -1 0] [-2 3/2 -1/2 0 0 -1 0 0 0 -1 -2 1 -1 -2 0 0 2 2 -1 0 -2 -1 1 -1 1 1 -1 1 -1 -1 3 -2] [-3 9/2 -1/2 -2 0 -3 2 -3 4 -3 -2 -3 1 -1 0 1 2 4 -5 2 -1 -3 0 0 0 0 0 0 1 0 3 -4] [0 3 -1 -2 1 -3 1 0 1 -1 -1 -1 -1 0 1 1 2 0 -3 0 0 0 -1 1 0 -1 -1 0 1 -1 2 -3/2] [0 3/2 -1/2 -1 1 -1 0 0 0 -1 -1 -2 0 -1 1 1 2 0 -3 1 -1 1 -2 2 0 -1 -1 0 3 -1 0 -1] [-2 5/2 3/2 -1 1 -3 0 -2 2 -2 -4 0 2 -2 0 3 0 1 -3 1 -2 -1 0 1 1 -1 -1 0 2 0 1 -2] [-1 5/2 1/2 -2 0 0 -2 -1 -1 0 1 -1 2 -2 1 1 1 0 -3 1 1 -1 -1 1 0 -1 -1 0 3 0 -2 0] [0 1/2 -1/2 0 0 1 -3 2 -4 2 1 1 2 -3 0 1 -1 0 0 -1 1 0 -1 0 2 0 -2 0 1 -1 -1 2] [1 0 0 0 0 0 -2 1 -2 1 1 1 1 -2 1 1 -1 -2 1 0 1 1 0 0 1 -1 -2 0 2 -1 -2 1] [-1 3/2 -1/2 1 0 -1 -2 -3 0 0 -1 -1 3 -2 -2 1 0 0 -3 2 0 -1 1 -3 3 0 -1 -1 3 0 -1 -1] [-1 3 -2 0 0 -3 1 -1 3 -2 -1 1 -1 -1 2 -1 1 0 0 0 0 -1 3 -1 0 0 -1 0 0 -1 2 -2] [-2 7/2 -3/2 -1 1 -3 0 -2 2 -2 -1 -1 -1 -2 1 0 2 0 -3 2 -2 -1 1 0 2 -1 -2 0 3 -1 1 -3/2] [-2 2 0 0 1 -2 -1 -1 0 -1 -2 2 0 -3 0 1 0 1 -2 0 -1 -1 2 -1 3 0 -2 1 0 -1 0 -1/2] [-2 2 -2 0 0 -1 -2 0 -1 1 1 2 0 -2 2 0 0 0 1 -3 1 0 2 -2 1 2 -2 1 -1 -1 0 0] [-2 3 -2 0 1 -1 -1 -1 -1 0 -1 0 0 -2 0 0 0 2 -3 0 -1 0 1 -1 4 0 -2 0 2 -2 0 -1/2] [-2 4 -2 1 -1 -2 -1 0 -1 1 0 -1 1 -3 0 1 1 1 -5 1 1 -1 0 0 2 0 -2 -1 4 -3 1 -3/2] [-2 9/2 -3/2 1 0 -4 1 0 1 -1 -3 0 0 -3 0 2 1 2 -6 1 0 -1 0 1 2 -1 -1 0 2 -4 3 -5/2] [-1 4 -2 0 0 -3 0 -1 1 0 -1 1 -1 -2 1 1 1 0 -2 0 -1 -1 2 0 2 -1 -2 0 2 -2 1 -1] [-2 2 -1 0 0 -2 -1 2 -2 1 -1 1 0 -4 1 3 0 1 -1 -1 -1 1 -1 0 2 1 -4 1 1 -2 2 -1] [-4 5 -1 0 0 -5 1 -2 2 -1 -5 1 0 -4 1 3 0 3 -6 1 -2 -1 3 -1 3 0 -4 0 3 -3 3 -4] [-3 3 0 0 0 -1 -1 -1 -1 1 -3 0 2 -2 -2 4 -2 3 -6 0 1 0 -1 -1 4 0 -2 -1 3 -2 0 -1] [-4 6 -2 0 0 -4 2 0 2 -2 -4 -2 0 -2 0 2 0 6 -8 0 0 0 0 0 2 0 -2 0 2 -4 4 -3], [1 1/2 -1/2 0 0 -1 1 1 1 -1 0 -1 0 0 0 0 0 1 0 0 0 1 -1 0 0 1 0 -1 0 0 0 -1/2] [2 0 -1 1 -2 3 1 1 -1 2 2 -2 -1 -1 0 0 1 2 -1 -1 3 -1 -2 1 -4 3 1 -1 0 0 0 0] [0 2 -1 1 -2 1 3 -1 3 0 0 0 -1 -1 -2 2 1 2 -3 -1 3 -3 -2 1 -2 3 1 -1 0 0 2 -2] [-1 1/2 -1/2 2 -1 1 0 0 0 1 0 -1 0 -1 -1 1 2 2 -3 -1 2 0 -2 0 -2 1 2 0 0 -1 1 -3/2] [0 -1/2 1/2 1 -1 1 1 -2 1 2 0 1 -2 -1 0 1 2 2 -3 -1 2 -2 -2 1 -2 1 2 -1 -1 1 0 -1/2] [3 -3/2 -1/2 0 -1 4 0 3 -2 1 0 -2 -1 -1 2 -1 2 1 -2 0 0 1 -2 2 -4 1 0 -2 2 -1 1 1/2] [-3 3/2 1/2 0 -1 1 1 -3 2 -1 -4 2 1 -1 -2 3 0 3 -2 -2 0 -1 0 -4 2 3 0 2 -2 -1 3 -7/2] [-3 1/2 1/2 2 -2 0 0 -3 2 0 -2 0 2 -1 0 0 -1 4 -3 -3 2 0 2 -4 -1 3 0 1 -1 -1 3 -3] [0 -1 0 1 0 1 -1 1 0 -1 -3 -1 2 -1 2 -1 -1 4 -2 -2 -1 3 2 -3 -3 4 -2 0 0 -2 2 -1] [-2 1 0 1 0 -1 2 -3 3 0 -4 1 2 0 -2 2 -1 4 -2 -3 1 -1 2 -3 0 4 -1 0 -2 0 3 -3] [-2 -1/2 1/2 1 0 1 -2 -4 2 1 0 1 1 -2 -1 0 1 3 -2 -2 2 -3 2 -3 0 3 0 0 -2 2 -2 -1/2] [-3 -2 1 0 2 0 -2 -3 1 1 -2 0 1 -1 0 -1 1 4 -2 -1 0 -1 3 -4 0 3 -1 1 -2 1 -2 -1/2] [-3 -3/2 -1/2 2 -1 2 -2 -4 1 1 -3 0 3 -2 -2 1 0 5 -2 -1 0 -1 2 -6 2 4 0 1 -2 -1 0 -2] [-2 -1 0 0 1 -1 -1 -3 2 1 -2 1 1 -1 0 -1 0 2 0 -1 0 -1 3 -2 1 0 0 0 -1 1 -1 -1/2] [0 -1 -1 0 1 2 -2 0 -1 0 -2 0 1 -2 2 0 0 2 0 -1 -1 1 0 -2 0 2 0 0 0 -1 -1 0] [1 -2 0 2 0 0 0 -1 -1 4 0 -2 1 -1 1 -1 0 2 -2 -1 2 -1 0 1 -2 0 1 -1 0 0 0 1/2] [1 -3/2 -3/2 2 -1 3 -2 0 -2 3 1 0 2 -2 1 -2 1 1 0 -1 2 0 1 -1 -2 1 0 1 0 -2 0 0] [2 0 0 0 2 -2 -1 -1 1 -1 -1 -1 1 1 -1 -2 1 0 0 3 -3 1 0 0 2 -3 1 -2 2 1 -2 1] [3 0 -1 0 0 0 -1 2 -3 1 1 -2 0 1 1 -2 0 -1 1 2 -1 2 -1 1 0 -2 1 -1 2 -1 -2 2] [2 -2 -1 1 0 2 -2 -1 -2 3 0 -3 2 -1 -1 -1 0 3 -2 2 1 -1 -1 -1 -1 2 1 -2 1 0 -3 2] [4 -1 -1 0 0 0 0 3 -3 2 2 -2 -2 1 1 -2 2 -2 1 2 0 1 -2 3 -1 -2 1 -1 2 -1 -2 2] [4 -1 -2 1 0 1 0 3 -1 2 0 -2 -1 0 1 -1 2 1 0 -1 1 1 -1 2 -3 2 -1 -2 1 -1 -1 1] [0 -1/2 -1/2 2 -2 1 0 -3 1 4 1 0 -1 0 -1 0 2 1 -1 -3 4 -3 1 0 -1 2 1 0 -1 0 -1 -1/2] [0 -1 0 0 0 1 -1 -1 -1 2 1 0 -1 0 0 0 1 0 1 -1 1 -1 1 1 0 1 0 1 -1 0 -3 1/2] [1 -3/2 -1/2 0 -1 2 -1 1 -2 2 0 -2 2 -2 3 -1 -1 3 0 -2 2 0 1 -1 -2 3 -1 0 0 -1 -1 -1/2] [0 1 -1 1 -2 0 1 -1 2 1 0 0 1 -2 1 0 -1 2 -1 -1 3 -3 1 0 -2 4 0 -1 0 -1 0 -1] [-1 0 0 2 -1 -1 1 -2 1 3 0 -2 1 -1 2 0 -1 3 -2 -2 4 -4 2 0 -2 3 0 -1 0 0 -1 -1] [2 -3/2 1/2 0 0 -1 1 1 0 3 2 -1 -2 0 1 -1 2 -1 0 0 3 -3 0 3 -1 -1 0 -2 2 0 -3 2] [-1 -1 1 0 0 0 -1 0 0 1 -1 -2 0 0 1 -1 0 3 -2 0 1 -1 1 -2 0 1 0 -1 1 0 -2 1/2] [-2 0 1 0 0 1 -1 -2 -1 2 -1 -2 0 0 -1 1 0 4 -4 -1 2 -1 1 -3 1 1 0 0 0 0 -1 -1] [0 -7/2 1/2 0 0 4 -3 -1 -3 5 0 -4 1 -1 -1 2 -1 4 -4 0 3 -2 0 -3 0 3 -1 -2 1 1 -5 5/2] [-2 -2 0 0 0 4 -4 -2 -2 2 -2 -2 2 -2 0 2 -2 4 -2 0 0 0 2 -6 0 4 -2 2 0 -2 -2 1], [2 0 0 -1 0 0 -1 1 0 -1 -1 -1 1 -1 1 0 -1 0 1 1 -3 1 0 0 -1 0 0 0 1 0 -1 1] [1 -1/2 -1/2 0 0 0 0 0 0 0 1 -1 0 0 1 1 -2 -1 2 -1 0 0 2 -1 0 3 -2 0 1 -2 -2 2] [-1 5/2 1/2 0 0 -4 2 -2 4 -4 -1 1 -2 0 1 1 0 -1 2 -1 -2 0 4 -1 2 1 -2 0 1 -2 0 -1] [-2 -1/2 3/2 -2 1 -3 -1 -5 4 -1 -1 2 0 -1 1 0 1 -3 2 1 -3 -2 6 -3 1 1 -2 2 1 -1 -2 0] [-2 3/2 1/2 -1 2 -4 0 -3 3 -2 -1 1 -1 2 0 0 1 -2 1 0 -2 -1 5 -3 2 2 -3 1 0 0 -2 0] [2 1 -1 0 -1 -2 0 1 1 -2 1 -5 0 1 1 0 -2 0 0 3 -2 2 1 -1 0 0 -2 -2 4 -2 -1 3/2] [0 4 0 0 -1 -2 0 -1 3 -3 2 -3 -2 2 -1 1 0 0 0 0 0 1 1 -1 2 -2 -1 0 2 -1 0 -1/2] [1 1 -1 -1 0 0 0 2 -1 -1 1 -1 -1 1 2 1 0 -1 1 1 -2 0 1 0 -1 1 -2 2 1 -2 -1 0] [3 0 -2 1 -1 1 0 1 -1 -1 3 -6 0 1 1 0 -3 2 0 3 -2 2 -1 0 0 -1 -1 -1 3 -1 -2 2] [3 0 -3 1 -1 3 0 1 -2 2 6 -2 -3 1 1 0 0 -2 2 0 2 0 -1 2 -2 0 -1 1 1 0 -3 2] [-3 0 0 0 0 -1 0 -2 2 1 1 1 0 0 1 1 -2 1 1 -1 1 -3 4 -2 1 2 -2 2 -2 -1 -2 1] [0 0 0 -1 0 0 -1 2 -2 2 1 -1 -1 -1 2 -1 1 2 -2 1 1 0 0 1 -2 -2 0 0 0 0 -1 0] [1 5/2 -3/2 0 1 0 -2 2 -1 -2 1 -4 -2 1 -1 -1 0 3 -2 2 -2 2 1 -1 2 -3 -1 -1 2 -2 -1 2] [-1 1/2 -3/2 -1 2 0 0 3 -2 1 0 -1 -1 -1 0 -1 1 2 -3 2 0 0 0 1 0 -2 0 0 0 -1 0 0] [0 3/2 -1/2 0 -1 -1 0 1 1 -2 1 -4 0 1 -2 0 -3 3 -1 2 -1 2 1 -3 2 -1 -1 -2 2 -1 0 1] [0 -1 2 -1 0 0 -1 2 -2 1 2 1 -2 0 2 -1 0 0 2 0 -1 -1 4 0 0 -1 -2 1 -1 -2 -2 5/2] [-1 1/2 3/2 0 1 -1 -1 0 0 -2 0 -2 0 1 -2 0 -2 3 0 1 -2 1 2 -2 3 -2 -1 -1 0 -1 0 2] [0 -3/2 3/2 -1 0 0 -2 1 0 -1 0 0 1 -1 1 0 -1 1 1 2 -3 1 0 0 0 -2 0 0 0 -1 -1 5/2] [0 -1 2 0 0 -1 0 0 0 -2 -2 -1 0 0 0 0 0 1 -1 2 -3 2 0 -1 1 -1 0 -2 1 0 1 0] [3 -3/2 -1/2 0 0 2 -1 6 -5 0 3 -4 -3 1 2 -1 1 0 0 3 -1 5 -3 2 -2 -2 -1 -3 3 -1 -2 2] [-2 1 2 0 0 -3 2 0 1 -2 -3 0 -1 0 0 0 1 2 -3 1 -1 1 0 0 1 -1 0 -3 1 -1 3 -2] [-1 1 0 1 -1 -2 2 -1 2 -1 0 -3 -1 0 1 1 -2 3 -2 2 0 -1 1 0 1 0 -2 -3 2 -2 1 0] [-2 1 3 -1 0 -2 2 -1 1 0 0 1 -2 1 0 3 1 0 0 -1 0 -3 2 1 1 0 -2 1 -1 -1 0 -1] [-2 1/2 3/2 0 0 -1 3 -1 1 1 -1 0 -1 0 -2 2 1 2 -3 -1 2 -2 -1 2 0 0 0 0 -1 0 2 -2] [0 2 0 0 -1 -2 2 1 2 -2 1 -6 0 1 0 1 -2 3 -2 1 0 1 0 0 -1 0 -2 -2 3 -1 1 -1/2] [1 9/2 -3/2 0 0 -3 4 4 1 -3 0 -4 -3 1 1 0 1 2 -2 0 0 2 -2 3 -1 -1 -1 -2 2 -1 3 -3] [-1 7/2 -1/2 0 -2 -3 4 1 3 0 1 0 -3 0 3 0 1 2 -1 -3 3 -4 3 2 -3 2 -3 1 -1 -2 3 -5/2] [3 1/2 -1/2 0 0 -1 3 1 1 2 2 -4 -2 0 0 0 2 1 -2 1 0 -3 -1 5 -2 -3 0 0 2 0 0 -1/2] [0 1/2 1/2 0 0 -2 0 1 1 -1 -1 -2 0 -1 2 -1 0 2 -1 1 -2 0 1 0 0 -1 -1 0 1 -1 0 -1/2] [-2 1 -1 0 0 -3 1 -2 3 0 -2 2 -2 -2 3 -1 2 0 0 0 -2 -3 5 -1 -1 2 -2 2 0 -4 2 -2] [0 -1/2 -1/2 0 0 0 -1 2 -1 0 1 -2 -1 -1 3 -2 1 2 1 -1 0 1 1 0 -2 1 -1 -1 0 -1 -1 1] [0 4 0 0 0 -2 0 0 2 -4 0 -6 0 0 0 0 0 6 -2 0 -2 2 0 0 2 -4 0 -2 2 -2 2 -1], [4 -2 -2 0 0 4 -1 3 -4 5 3 -1 -2 0 0 0 2 -2 -2 1 4 -2 -3 4 -3 -1 1 1 1 -1 -1 2] [-4 0 2 0 2 0 -3 1 -1 0 -3 3 0 -1 1 0 1 -1 0 1 -1 1 0 1 1 -1 -2 3 -2 -1 -1 1] [-4 -1 3 0 2 0 -5 1 -1 0 -1 3 0 -1 3 -2 1 -1 2 -1 1 1 2 -1 1 -1 -2 1 -2 -1 -1 2] [-3 -1/2 1/2 0 1 0 -2 0 0 -1 -2 3 0 -1 2 -2 -1 0 1 0 -1 0 3 -3 2 2 -2 2 -2 -1 -1 1] [2 -3 1 0 2 2 -2 3 -3 0 1 -1 -2 1 0 -1 2 -3 1 2 -1 2 -1 1 1 -1 -1 0 3 -3 -2 5/2] [-3 -1/2 3/2 1 2 0 -1 -2 0 1 -1 3 -2 0 0 0 2 -2 0 0 0 -1 1 1 1 -1 0 2 -2 0 -1 1/2] [-1 -1/2 -1/2 1 2 0 1 2 -3 -2 0 0 -3 0 1 -1 3 -1 0 1 -2 5 -2 2 -2 -1 0 0 1 0 -2 1/2] [1 -1/2 -3/2 -1 2 2 -3 4 -3 1 0 0 -1 0 2 -2 1 -1 0 1 -1 0 0 0 -1 1 -1 3 -1 0 -2 3/2] [-2 0 1 0 1 1 -2 -1 0 3 1 1 -2 0 1 -1 2 -2 -1 0 3 -3 0 1 0 -1 0 3 -2 2 -1 -1/2] [2 -1 -1 0 1 4 -4 5 -4 3 3 -2 -2 -1 3 -2 2 -3 1 2 1 1 -4 5 -3 -2 -1 3 1 0 -3 5/2] [1 -2 -1 0 1 1 0 2 -1 -1 0 -1 -1 0 0 1 1 -2 0 1 -1 2 -2 1 -1 2 -1 0 3 -2 0 0] [2 1 -2 0 -1 2 0 2 -2 0 1 -1 -1 0 0 1 0 0 -1 -1 1 1 -2 0 -1 1 1 0 2 -1 0 0] [-1 3/2 1/2 -1 1 0 0 2 -2 -1 0 0 -2 0 2 1 2 -1 -1 -1 1 2 -2 2 -2 0 0 1 0 1 -1 -1] [1 3/2 -1/2 -1 0 0 0 0 1 -1 0 -2 1 1 0 1 -1 0 0 0 0 -1 0 -1 0 1 0 0 1 1 0 -1] [-3 1/2 5/2 0 1 -2 1 -2 2 0 -2 0 -1 0 0 1 2 1 -4 0 3 -2 0 1 1 -1 0 1 -1 2 1 -5/2] [3 -1/2 -1/2 -2 1 1 0 3 -2 -2 0 -1 -3 1 0 0 4 -2 -2 2 0 2 -2 2 -1 0 0 -1 3 -1 0 1/2] [-3 3/2 5/2 -1 1 -3 2 0 1 -3 -3 0 -2 0 1 2 2 1 -3 0 1 1 -1 1 0 0 0 -1 0 1 2 -2] [1 0 -1 0 -1 0 2 1 -1 2 1 1 -3 0 1 0 2 -1 -1 -2 4 -2 0 1 -2 2 1 -1 1 -1 2 -1/2] [-2 0 3 0 0 -2 2 -2 1 0 -1 1 -1 1 -2 1 1 1 0 -1 1 -1 0 0 2 -1 1 -1 -1 0 2 -1] [-1 1 2 0 1 -1 -1 -2 1 0 0 0 -3 1 0 0 3 -1 -1 -1 2 -1 2 0 2 -2 0 1 -1 1 0 0] [-2 0 4 0 0 -3 0 -6 3 -1 -2 0 0 1 -2 1 0 2 -3 0 2 -2 4 -4 5 -2 1 -3 0 1 1 0] [-4 0 3 0 1 -2 0 -7 3 -1 -2 1 -1 0 -2 2 1 0 -3 1 1 -2 3 -2 4 -1 0 -1 0 2 0 -1/2] [2 -3/2 -1/2 -1 2 1 -2 0 -2 -2 -2 -3 -1 1 -1 0 1 1 -4 4 -2 2 1 -2 2 0 0 -3 3 0 -1 2] [-1 0 0 0 0 0 -3 -5 1 0 -2 -2 3 0 -1 1 -3 3 -2 1 -1 -1 4 -6 4 1 0 -3 0 2 0 1/2] [-3 -1/2 3/2 1 2 -1 -2 -4 1 1 -2 0 -1 0 -1 1 1 1 -4 1 2 -2 2 -2 4 -1 0 0 -1 2 0 -1/2] [2 -2 0 0 2 2 -3 -1 -2 2 2 -3 -2 1 -1 0 3 -1 -2 2 1 0 0 1 1 -3 0 -1 2 2 -2 2] [4 -2 -2 -1 1 3 -2 1 -2 0 1 -2 -2 1 -1 -1 3 -1 -2 3 0 1 -1 0 0 -1 1 -1 3 0 -1 3/2] [4 1 -5 0 0 2 -1 2 -2 2 1 -3 -1 1 0 -1 1 -1 -3 3 1 0 -2 -1 -1 0 1 0 2 2 0 0] [3 -1 -3 0 0 2 0 -1 -2 3 3 -1 -3 1 -1 0 3 -2 -2 0 3 -1 0 -1 -1 1 1 -1 4 0 -1 1/2] [0 -1 -2 0 0 1 -2 0 0 0 -1 0 -1 -1 2 -1 1 0 -2 1 0 0 2 -2 -1 3 -1 2 0 0 -1 1] [0 -1 1 0 0 1 -1 0 0 0 1 1 -4 0 0 0 4 -1 -1 -1 3 0 0 1 0 0 0 1 0 -1 1 0] [-4 2 2 0 0 -2 2 0 0 -2 -2 2 -4 0 0 0 4 2 -4 -2 4 2 0 0 0 0 0 0 -2 2 2 -3], [1 1 -1 -1 0 0 1 1 0 0 0 0 0 1 -1 0 0 0 0 0 0 1 -1 0 0 1 -1 0 0 1 0 -1] [5 -1 -1 -1 -1 3 3 1 -2 2 2 -1 -3 1 -3 1 2 -1 -1 1 2 1 -4 4 -2 -1 1 -2 1 0 1 1/2] [1 -1 1 -1 -1 1 3 -1 0 0 0 1 -1 1 -3 1 0 1 -1 -1 2 1 -2 0 0 1 1 -2 -1 2 1 -1/2] [1 -1 0 1 -1 0 1 2 0 1 1 -1 0 1 0 2 0 -1 0 -2 3 2 -4 2 -4 1 1 -1 1 0 1 0] [-2 1 1 0 -2 -2 2 -2 4 -1 -1 2 0 -1 0 1 -1 2 -1 -2 2 0 -1 0 -2 1 1 0 -2 2 2 -3/2] [3 -3/2 1/2 -2 -2 4 0 1 -2 2 3 0 0 1 -4 0 1 -1 1 -1 3 1 -2 0 -1 1 -1 -1 0 2 0 1] [1 -3/2 5/2 -2 -2 2 0 1 -1 3 2 1 1 1 -3 -1 0 0 1 -2 5 -1 -1 -1 0 1 -1 -1 -1 2 1 0] [1 -1 -1 1 -2 0 2 0 2 1 1 0 1 0 0 -1 0 0 0 -2 3 0 -2 0 -3 1 2 0 0 1 2 -2] [2 -1/2 -3/2 0 0 0 2 2 0 -1 -1 1 0 1 -2 -1 1 0 0 -1 0 3 -1 -1 -1 2 0 -1 0 0 2 -3/2] [4 -1/2 -3/2 0 0 0 4 0 1 0 -1 -1 -1 2 -4 0 2 0 -2 1 0 1 -1 1 -1 0 1 -1 0 0 2 -3/2] [-2 3/2 3/2 -1 0 -3 2 -3 5 -3 -3 3 0 1 -1 -2 0 2 -1 -1 0 -1 2 -3 2 0 1 0 -3 3 2 -3] [-1 0 2 -1 1 -2 0 -3 4 -2 -1 2 2 2 -2 -1 -1 0 1 -1 0 -1 2 -4 3 0 0 1 -2 3 -1 -1] [2 -3 1 0 -2 3 0 0 -1 3 2 2 1 2 -5 -2 -1 0 2 -2 4 0 0 -3 2 1 0 -1 -2 2 0 1] [0 -2 0 2 -1 1 -1 -1 0 1 1 2 1 0 -1 -1 -1 0 2 -2 1 0 0 -2 1 1 1 1 -2 1 -1 1] [2 -3/2 1/2 0 -1 1 0 1 0 0 2 1 -1 2 -3 -2 0 -1 2 -1 2 1 0 -2 0 1 0 -1 0 0 0 3/2] [0 -3/2 -1/2 3 -1 1 0 1 0 2 0 1 0 0 -1 0 -1 0 1 -2 3 1 -3 1 -2 1 2 0 -2 -1 2 1/2] [2 -2 1 0 -2 2 1 0 0 2 2 2 -1 2 -4 -3 1 0 2 -2 4 0 1 -2 1 0 0 -1 -2 0 2 0] [-1 1 1 -1 1 -3 1 -2 4 -3 -2 1 1 2 -1 -2 0 1 0 0 0 0 2 -4 2 0 0 0 -2 2 1 -5/2] [0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 -1 0 0 1/2] [3 -2 1 -1 0 2 1 -2 0 1 1 0 0 1 -4 1 0 0 2 0 0 0 -2 1 1 -1 1 -1 -1 1 0 3/2] [0 -2 2 0 0 2 -2 0 -2 1 2 1 1 0 -1 1 -1 -1 4 -2 1 1 -1 0 1 0 0 0 -1 0 -2 5/2] [4 -7/2 3/2 0 0 4 -1 2 -3 2 2 1 0 2 -4 0 1 -2 4 -2 2 3 -3 1 0 0 1 -1 -2 0 -1 5/2] [2 -5/2 1/2 1 -2 3 0 1 -1 4 3 1 0 0 -1 0 1 -2 3 -3 5 0 -4 3 -3 0 2 0 -2 0 1 1/2] [3 -2 0 0 0 3 -1 0 -2 2 3 0 -1 1 -1 0 1 -3 3 0 1 0 -1 2 -1 -1 1 0 -1 0 -2 5/2] [3 -3/2 3/2 -2 -2 2 1 -1 1 0 3 1 0 3 -4 -2 1 -2 3 -1 3 0 0 -2 0 0 1 -1 -1 2 0 0] [3 -3 2 -1 -1 3 1 -1 0 1 2 1 0 2 -3 0 -1 -1 3 -1 2 0 -2 0 0 0 2 0 -3 2 -1 3/2] [0 -5/2 3/2 1 0 1 -1 2 -1 1 1 1 1 1 -1 1 -2 -2 3 -2 2 2 -4 0 -1 1 2 1 -2 1 -1 3/2] [2 -5/2 -1/2 0 0 3 -1 2 -2 2 3 1 0 2 -1 -1 0 -3 3 -1 3 0 -3 -1 -1 1 2 1 -1 1 -2 1] [-2 0 2 0 0 -2 0 -1 4 -3 -1 2 2 2 0 -2 -2 0 1 -1 2 -1 1 -5 2 0 2 1 -3 2 0 -3/2] [4 -5 2 0 0 5 -1 2 -3 3 5 -1 1 3 -3 0 -1 -3 4 -1 4 0 -5 1 -1 -1 3 0 -1 2 -3 3] [1 -3/2 3/2 0 0 1 1 -1 1 -1 0 0 0 2 -3 1 0 -1 1 1 0 0 -2 0 1 -1 2 -1 -1 1 0 1/2] [4 -6 2 0 0 6 -2 4 -6 4 4 0 0 2 -2 0 0 -4 4 0 4 2 -6 2 -2 0 2 -2 0 0 -2 4], [2 -1/2 -7/2 1 1 2 -1 3 -2 2 1 -3 1 0 0 -1 0 1 -1 0 1 1 -3 2 -2 1 0 0 1 -1 0 3/2] [2 -3 1 0 1 1 0 1 -1 0 0 -2 0 0 0 0 1 0 -1 3 -1 1 -1 2 -2 -2 0 -1 1 0 -1 3/2] [-2 -1 1 0 1 1 0 -1 1 0 0 0 2 0 -2 2 -1 2 -1 -1 3 -1 -1 0 0 0 0 -1 -1 0 1 1/2] [-1 1/2 -1/2 1 0 0 2 1 0 0 -1 1 0 1 -2 0 0 2 -2 -2 2 0 -1 0 1 1 1 0 -2 -1 2 -1/2] [2 -7/2 7/2 0 1 1 0 2 -4 2 0 0 -2 1 -1 0 2 -1 -1 1 -1 1 -2 2 1 -2 1 -1 1 -1 -1 3/2] [3 -5 1 1 0 4 -3 6 -7 2 1 -2 0 -1 2 0 0 0 0 2 -2 5 -4 2 -2 -1 0 -2 2 -2 -2 4] [-3 0 2 1 0 -1 0 0 0 -3 -4 3 1 -1 -1 3 -1 1 0 1 -4 3 -1 -1 3 -1 0 0 -1 0 1 -1] [3 -3/2 -3/2 1 -1 2 1 3 -2 2 2 -2 -1 2 -1 0 0 -1 -2 2 1 1 -2 1 -1 -1 1 0 1 -1 -1 1] [5 -4 0 1 -2 3 -1 6 -4 2 2 -3 0 0 2 0 0 -1 0 2 0 4 -3 2 -4 -1 0 -2 3 -2 -1 2] [3 -1 -1 1 -2 1 4 2 2 1 1 -2 0 1 -1 2 0 0 -2 1 4 -1 -2 3 -4 -1 1 0 0 -1 2 -2] [1 -2 2 0 -2 1 2 1 1 1 2 0 -1 0 2 1 -1 -1 0 1 3 -2 1 2 -3 -1 0 0 0 0 -1 -1/2] [2 -1 -1 1 -2 1 3 3 0 2 3 -2 -1 1 2 -1 -1 0 -1 -1 5 -1 -1 2 -4 1 1 0 -1 0 0 0] [1 -3/2 3/2 1 -1 -1 1 1 1 -2 -2 -1 2 0 1 2 -1 -1 1 1 -2 3 -1 0 -1 0 0 -1 1 1 0 -3/2] [1 -1 0 0 -2 1 1 2 0 2 3 0 1 -1 2 2 -2 -2 3 -2 4 -1 0 1 -3 2 -2 1 0 1 -1 -1] [1 -3/2 1/2 0 -1 1 0 2 0 -2 0 -1 1 -1 3 1 -1 0 0 2 0 2 -1 1 -2 -1 0 -1 1 0 -1 0] [1 -3/2 3/2 0 -2 0 3 2 -1 2 2 -3 -1 2 1 0 0 1 -4 1 4 0 -1 2 -2 -1 1 -1 0 0 -1 0] [-1 1/2 3/2 1 -1 -3 2 -1 4 -4 -3 0 1 0 2 1 0 0 -1 0 0 2 2 -1 -1 0 0 -1 0 0 1 -5/2] [2 0 0 1 -2 -1 2 0 2 -2 0 -2 -1 2 1 -1 -1 0 -2 2 1 1 1 -2 0 -1 2 -1 0 -1 0 -1/2] [2 -1 1 0 0 0 -1 2 -3 0 1 -2 -1 2 0 -2 1 0 -1 1 0 3 -2 0 1 -2 2 -2 1 -2 -1 5/2] [2 -3/2 1/2 0 -2 1 1 4 -3 1 2 -4 0 1 2 0 -2 2 -3 2 3 2 -2 1 -2 -1 1 -3 1 -1 -1 2] [0 -2 3 0 0 -1 -2 0 -3 0 0 0 -1 1 1 -2 1 0 0 0 -1 3 1 -2 2 -1 1 -2 0 0 -2 5/2] [1 -3 2 1 -2 0 0 2 0 -1 0 -1 1 0 3 -1 -1 1 0 0 2 3 2 -1 -3 0 0 -2 -1 0 -1 1] [0 -1 1 1 -1 -1 2 0 0 1 1 0 -2 2 0 -1 1 0 -3 0 3 0 2 0 0 -1 1 0 -2 0 -1 1/2] [1 -1 1 0 0 -1 0 -4 2 0 1 1 -1 1 1 -2 1 -2 1 0 1 -2 5 -2 0 -1 1 0 -2 2 -2 1/2] [3 -4 1 1 0 1 -1 0 0 -1 0 -2 1 0 3 -2 -1 0 0 3 0 1 3 -1 -2 -2 1 -2 0 1 -3 2] [2 -3 1 0 1 1 -1 -3 2 -1 0 -2 2 1 0 -1 -1 0 -1 3 1 -1 3 -2 -1 -2 1 -1 -1 3 -3 3/2] [2 -9/2 3/2 0 0 2 0 0 -2 4 3 -2 1 0 1 -1 -1 0 -1 1 4 -2 1 1 -2 -1 0 0 -1 3 -4 2] [4 -5/2 -3/2 0 0 2 0 0 -1 3 3 -3 0 1 2 -3 0 -1 -1 1 3 -2 2 0 -4 0 1 1 -1 3 -4 2] [4 -2 0 0 0 0 1 -1 2 -1 1 -4 0 3 1 -4 0 0 -3 3 2 -1 2 -2 -2 -2 3 -1 -1 2 -2 3/2] [2 -1 0 0 0 0 2 -2 2 -1 0 -2 0 3 -1 -2 0 0 -4 2 2 -1 1 -1 -1 -1 3 0 -2 3 -2 1] [3 -7/2 5/2 0 0 0 1 -1 1 0 0 -4 1 1 1 -2 -1 1 -3 3 2 -1 2 0 -2 -2 1 -3 1 2 -2 3/2] [0 -2 4 0 0 -2 0 -4 4 -6 -4 0 2 0 0 0 -2 0 0 4 -4 2 4 -4 2 -2 0 -2 0 4 -2 0], [1 -1/2 -1/2 1 0 0 0 0 0 -1 -1 -1 0 0 1 1 -1 -1 2 1 -4 1 0 0 0 0 -1 1 1 0 0 0] [-2 3/2 3/2 -1 0 -2 1 2 2 -2 -2 1 -1 0 3 0 -1 1 1 -3 1 1 0 -1 0 -1 0 2 -2 -1 3 -1] [-4 5/2 5/2 -1 0 -4 1 0 4 -4 -4 3 -1 -2 5 0 -1 1 1 -3 -1 1 4 -1 0 -1 -2 2 -2 -1 3 -2] [1 0 2 -1 0 0 1 -1 0 0 -1 2 -3 1 1 0 1 0 1 -1 -1 -1 2 0 2 -2 -2 1 -1 0 1 -1/2] [-1 1/2 1/2 -1 0 0 0 1 -2 0 -1 2 -2 -1 2 -2 2 0 -1 -1 -1 2 1 0 0 -2 1 1 -1 -1 1 0] [-1 1 0 1 0 -1 -1 4 -1 -2 -2 0 -1 -2 4 0 0 1 -1 0 -2 3 -2 1 -1 -1 1 0 1 -4 2 1/2] [3 -2 -1 1 0 3 -1 6 -5 4 4 -2 -3 -2 4 0 2 -1 1 -2 4 1 -4 5 -5 -1 1 0 3 -6 0 7/2] [3 -3/2 -1/2 -1 0 3 -2 2 -3 3 2 -1 -2 -1 1 -1 1 -2 0 2 -1 1 -1 2 -1 -3 1 1 1 -1 -3 5/2] [-1 1 0 -1 0 1 -3 3 -1 -1 -1 -1 1 -2 2 0 -1 1 -1 1 -2 2 -1 0 0 -2 1 1 0 -2 -1 2] [-1 1 -1 -1 0 1 -2 3 0 0 1 1 0 -2 4 -2 0 -1 1 -1 2 0 1 0 -3 -1 1 3 -2 -1 -1 1] [-1 1 -1 -1 0 1 1 -1 1 0 0 0 0 0 1 2 -2 1 -1 -2 1 0 1 1 -1 -1 0 1 -1 -1 1 0] [2 -1 -2 1 0 2 1 0 -1 1 1 -1 -3 1 0 1 2 -2 0 2 -1 0 -1 2 -2 -1 0 1 1 -2 1 0] [0 1/2 -3/2 0 1 0 0 2 0 0 0 -2 -1 -1 4 1 0 1 0 -1 0 1 -2 3 -3 -1 0 1 1 -4 2 1/2] [-2 4 -4 2 -2 0 2 -2 3 0 1 0 1 0 0 2 -1 2 -2 -1 4 -4 0 1 -2 3 -2 1 -1 -1 3 -5/2] [-1 3/2 -1/2 1 -1 1 0 1 0 0 0 -1 2 -1 2 2 -2 2 0 -1 2 -1 -2 1 -1 0 0 0 0 -3 2 -1/2] [2 -1 2 -1 -1 1 0 -3 0 1 3 1 -2 1 -1 0 2 -3 2 1 -1 -1 1 0 2 -4 1 0 2 -1 -2 1/2] [0 -1/2 3/2 0 1 0 0 0 0 1 0 -1 0 0 1 3 -1 0 0 -1 2 0 -3 2 0 -3 1 -1 2 -3 0 3/2] [4 -2 0 1 0 2 0 0 -2 1 2 -3 -1 2 -1 1 0 -2 0 3 -1 1 -2 2 0 -4 1 -1 3 -2 -2 3] [0 0 3 0 0 -3 0 -2 0 -2 -3 0 0 1 -1 0 0 0 -2 3 -3 2 1 -3 4 -3 1 -2 2 0 -1 0] [-1 0 2 -1 0 -1 -1 3 -2 -1 -2 2 -1 0 3 0 -1 -1 1 0 -1 4 -1 -1 1 -3 0 0 1 -3 1 0] [-2 1 3 0 0 -4 2 0 0 -2 -3 1 -1 1 -1 0 1 1 -1 1 -2 2 -1 -1 3 -2 1 -2 1 -2 3 -2] [-3 2 2 -1 0 -3 1 1 2 -3 -2 0 1 -1 1 0 -1 2 -1 0 0 1 0 -1 1 -3 2 -1 1 -4 4 -2] [0 -3/2 7/2 -1 0 -1 1 -2 0 1 1 1 -1 0 -1 0 0 -1 1 0 -1 0 1 0 2 -4 2 0 1 -2 0 -1/2] [-4 2 2 0 0 -4 3 -4 5 -3 -3 1 2 1 -2 1 -2 3 -2 -1 0 -2 2 -2 3 0 1 0 -2 0 3 -4] [-3 3 0 1 0 -2 1 0 3 -3 -3 0 2 -1 1 2 -3 3 -1 -1 0 0 -1 0 1 -1 2 0 -1 -4 3 -3/2] [-2 7/2 -1/2 -1 0 -3 3 0 4 -3 -3 1 0 0 2 1 -2 1 -1 -2 1 0 1 0 0 -1 0 0 0 -3 4 -3] [0 2 0 -3 1 -1 2 -1 1 0 0 1 -1 -1 -1 0 1 -1 0 0 -1 0 1 1 2 -4 1 1 1 -2 1 -2] [4 1 -1 0 0 1 2 0 0 2 2 -2 -1 1 -2 1 1 -2 0 2 0 -2 -2 4 -1 -4 1 2 2 -3 1 0] [6 -1 -1 0 0 2 2 0 -1 0 2 -3 -3 2 -2 0 3 -3 0 4 -2 1 -2 3 -2 -4 2 0 3 -3 0 1] [4 0 0 0 0 1 0 0 -1 2 2 -1 -3 1 0 -1 3 -3 0 2 0 -1 0 2 -1 -4 1 0 3 -4 0 0] [-2 3 0 0 0 -1 -1 -2 2 -3 -1 2 1 0 1 -1 -1 0 0 -1 0 1 3 -3 1 -1 0 1 0 -3 1 -1] [0 2 0 0 0 0 0 0 2 0 2 -2 0 0 0 0 0 2 0 -2 4 -2 0 0 0 -2 0 0 2 -6 2 1], [0 1/2 1/2 0 1 -1 0 -5 4 -1 0 -1 1 1 -1 0 -1 2 0 1 -2 -2 3 -1 2 -1 0 0 0 1 -2 1/2] [4 -4 0 0 1 2 -1 -3 -1 1 4 -1 1 -2 -3 2 1 0 1 1 -2 0 -1 1 0 -1 0 0 1 0 -3 3] [2 -1 -1 0 1 0 1 -5 3 -1 2 -1 1 -2 -3 2 1 2 -1 1 -2 -2 1 1 0 -1 0 0 1 0 -1 1] [1 0 -1 2 -1 0 1 -1 1 0 1 -1 0 -1 0 2 1 1 -1 -1 0 -1 -1 2 -2 1 1 0 1 -3 1 0] [0 0 1 0 0 -2 1 -1 1 -1 -2 2 -1 -2 2 0 1 2 -2 0 -2 1 -1 1 -1 0 2 0 -2 0 1 -1] [4 -3 1 -1 1 1 0 0 -2 0 1 -1 0 -2 -1 1 3 0 -1 1 -3 1 -2 2 1 -3 0 0 1 -1 0 1] [-2 0 4 -1 1 -1 -2 -6 4 -2 -3 1 4 -2 -1 1 -1 4 1 -1 -5 -3 4 -2 5 -3 0 2 -3 1 0 -1] [2 -2 0 1 0 0 0 -3 1 1 1 -2 0 -1 -2 0 2 0 -1 0 -1 0 0 0 0 -1 1 0 2 -1 0 1/2] [5 -5/2 3/2 -1 2 -1 1 -2 1 -2 0 -2 0 -1 -3 2 2 1 0 0 -5 2 0 1 1 -2 0 0 2 -1 -1 3/2] [3 -3/2 -1/2 -1 2 -1 2 0 0 -1 0 0 1 -2 -3 3 1 1 0 -2 -1 2 -2 1 0 1 -1 0 0 0 1 -1/2] [-3 5/2 5/2 0 1 -3 -1 -7 7 -3 -4 2 3 -2 0 -1 -1 4 1 -2 -3 -4 6 -3 2 1 0 2 -3 2 0 -3/2] [-2 3 0 0 1 -4 2 0 3 -2 -3 1 0 -1 1 0 0 2 -2 -2 1 0 0 -1 1 3 -2 1 -2 0 3 -4] [0 1/2 3/2 1 -1 -1 1 -5 4 -1 -1 -1 2 -2 -1 1 0 3 0 -1 -2 -3 3 -1 3 -1 0 1 0 -1 1 -5/2] [0 2 -2 1 -1 -3 4 2 2 -1 -1 1 -1 -2 1 2 0 0 -1 -3 4 0 -2 1 -1 3 -3 1 -1 -1 5 -4] [3 -2 0 0 2 1 0 -2 0 0 0 -1 1 -2 0 2 1 1 1 -1 -2 -1 -1 2 1 -1 0 0 1 -1 0 0] [1 -1 2 2 1 -2 -1 -4 3 1 -1 -2 1 -1 0 0 0 1 0 -1 -2 -2 1 1 2 -2 1 1 0 -1 0 1] [2 -3/2 3/2 1 -1 1 0 -3 2 1 2 -1 2 -2 -1 1 0 1 2 -2 0 -3 1 1 2 -1 0 1 0 -1 0 -1/2] [2 0 3 0 1 -4 1 -1 3 -2 0 -1 1 -1 -1 2 -1 0 1 -1 -2 0 -1 1 4 -1 -2 2 -1 0 0 0] [2 -1 0 0 0 -1 0 3 -3 0 1 -1 -1 0 0 0 1 -1 -1 1 -1 3 -3 1 1 -1 0 0 0 -1 0 1] [4 -1 -2 0 1 0 1 3 -3 1 1 -1 -1 -1 -1 -1 3 0 -2 0 2 2 -5 2 -2 2 1 -2 1 -1 2 -1] [3 -1 -1 0 0 0 0 4 -4 2 1 -1 -3 1 1 -2 3 -2 -2 2 1 2 -3 2 -1 -1 1 -2 2 -2 1 0] [3 -1/2 1/2 -1 2 -2 0 2 0 0 -1 0 0 -2 0 0 2 1 0 -1 -1 1 -1 2 0 -1 -1 0 0 -2 2 -1/2] [3 -3 2 1 0 0 -2 0 -1 4 3 -2 0 -2 -1 0 2 -1 0 -1 2 -1 -2 2 1 -3 0 2 0 -2 0 2] [3 -2 0 0 0 1 0 4 -4 3 3 -1 -2 -1 0 1 2 -2 0 0 3 1 -4 3 -1 -1 -1 1 1 -2 0 1] [4 -3 1 -1 1 2 -1 -2 -1 2 2 -2 1 -2 -1 1 2 1 1 0 -1 -2 0 2 1 -3 0 0 2 -1 -1 1] [2 -1 -1 0 1 0 -1 1 -1 2 2 0 0 -3 0 0 2 1 -1 1 2 -1 -2 2 -1 -1 -1 0 0 -1 1 0] [1 -2 1 1 2 -2 -2 0 0 2 1 -2 1 -4 1 1 1 0 -1 1 0 -1 -1 2 1 -3 -1 2 0 -2 0 1] [3 -3/2 5/2 0 0 -1 0 -2 2 1 3 -3 0 -1 -1 2 0 0 1 0 -1 -3 1 3 2 -4 -1 1 2 -2 -1 2] [0 -1 3 0 0 -2 -2 3 -1 1 1 -1 1 -3 1 2 -1 1 -1 -1 1 0 -2 1 3 -2 -3 3 -2 -2 1 1] [2 -1 0 0 0 0 0 2 -2 3 2 -2 -2 -1 0 1 2 0 -2 0 2 -1 -2 2 0 -1 -1 0 2 -4 2 0] [1 -3/2 1/2 0 0 1 -1 0 -1 2 1 -2 0 -1 0 1 0 1 -1 0 1 -1 0 0 0 0 -1 0 1 -1 0 1/2] [2 -2 4 0 0 0 -2 -6 4 0 2 -4 2 -2 -2 4 -2 2 2 0 -4 -4 4 0 4 -4 -2 2 2 -2 -2 2], [2 -3/2 1/2 0 -1 2 -1 1 -2 1 1 -2 1 0 0 0 -1 -1 -1 2 0 1 0 0 1 -2 -1 0 3 -1 -1 1/2] [-3 2 3 -1 -1 -3 1 0 2 -3 -4 1 3 0 0 0 -3 3 -1 -1 0 1 0 -1 4 -2 0 2 -1 -1 2 -3] [-3 2 3 -1 -1 -5 1 -2 2 -3 -4 1 3 0 2 -2 -3 3 1 -1 -2 1 4 -3 4 -2 0 2 -3 1 2 -3] [-1 -1 1 1 0 -1 0 1 -1 1 -2 1 1 -1 2 1 -2 1 2 -2 0 1 0 1 0 0 0 2 -2 -2 1 -1/2] [-3 3/2 -1/2 1 -2 -2 3 0 1 -1 -2 1 2 -2 2 0 -2 3 0 -2 2 0 0 2 -1 0 1 3 -3 -1 4 -7/2] [-2 7/2 1/2 -1 0 -5 1 -2 3 -5 -5 0 6 0 -1 -1 -4 5 2 0 -3 1 1 -4 7 -1 1 0 -2 1 2 -4] [2 -3/2 3/2 -1 0 1 1 2 -3 1 1 -2 2 0 -1 -1 0 3 2 -2 1 1 -3 2 1 -1 1 0 0 -1 0 -1] [1 -1 -1 1 0 0 0 -2 2 1 -1 -1 0 0 -2 0 1 1 2 -1 0 -1 -1 0 1 1 1 1 -2 1 0 -1/2] [-1 5/2 -1/2 0 0 -3 -1 -1 3 -4 -5 -2 4 1 -3 0 -1 4 1 0 -3 1 0 -4 6 0 1 0 -2 1 1 -2] [-1 3/2 3/2 0 0 -3 1 1 2 -3 -4 0 1 1 -1 -2 2 2 -1 -1 -1 1 0 0 2 -1 1 2 -2 0 2 -3] [0 0 1 -1 1 -2 3 -2 1 -2 -3 -1 1 1 -2 -1 1 2 0 -1 -2 1 0 1 1 -1 1 3 -2 0 4 -3] [1 -1/2 -1/2 0 1 2 -2 -4 -2 2 0 -1 2 1 -3 0 0 -1 0 0 0 0 2 -3 3 -1 0 1 1 0 -1 -1/2] [1 -1 1 -1 0 2 -1 0 -2 1 0 -2 3 0 0 -1 -1 3 0 -2 1 2 -1 -1 1 -1 0 1 0 -1 1 -3/2] [0 0 -1 1 0 1 -1 -2 0 1 0 0 0 0 0 -2 2 0 -1 -1 0 0 1 -1 -2 1 1 1 -1 0 2 -1/2] [3 -5/2 3/2 0 1 2 -1 3 -3 0 -1 -4 2 0 0 -1 1 2 0 1 -1 2 -5 3 0 -2 2 0 1 -2 2 -1/2] [3 -3 0 2 1 1 1 -1 2 1 1 -1 -2 0 -2 1 4 -3 2 -1 1 -1 -4 5 -2 -1 2 1 2 -2 2 -1/2] [3 -3 2 -1 0 1 2 0 1 1 1 -2 -1 2 -3 0 3 1 2 -1 1 -1 -4 2 2 -2 2 -1 0 0 2 -3/2] [4 -3 -1 0 1 3 -1 -1 0 1 2 -3 0 1 -1 -2 2 -2 2 1 -1 -1 1 0 -1 -1 0 -1 2 0 1 3/2] [-2 0 0 0 0 0 1 0 4 -4 -2 1 -1 -1 1 0 1 1 0 0 -2 0 1 -1 -2 2 -1 0 -1 1 3 -3/2] [0 -1 1 -1 1 1 -2 0 1 -2 -2 0 1 0 1 -3 1 1 2 -2 -1 1 1 -3 0 0 0 1 -1 0 5 -2] [0 -1 0 0 0 3 -2 0 0 2 2 1 0 -1 1 0 0 -1 0 -2 4 -2 1 -1 -2 1 -1 -1 1 -1 2 1/2] [1 -1/2 3/2 0 0 0 -1 1 0 -1 -1 -1 3 1 -1 -2 0 1 1 -2 1 1 0 -2 1 -1 1 0 1 -3 5 -2] [2 -7/2 3/2 1 0 2 1 -2 1 4 3 0 -1 0 -1 -1 2 -1 2 -4 5 -3 0 2 -3 0 1 2 0 -2 4 -3/2] [-2 -1/2 1/2 0 0 2 -2 -4 1 3 2 2 0 0 1 -1 0 0 0 -4 4 -4 5 -5 -1 2 0 1 -2 0 2 -1/2] [2 -3/2 3/2 -1 0 3 -1 0 0 0 0 -1 0 1 -2 -1 2 2 0 -1 1 -1 -2 -1 2 -1 2 0 -1 -1 3 -1] [3 -2 1 -1 -1 2 1 2 -1 1 2 -2 -2 2 0 -2 2 0 1 -1 2 0 -2 1 -1 -2 2 0 0 -1 4 -1] [3 -3 0 1 1 3 1 1 -1 2 2 -1 -4 1 -1 1 4 -3 1 -1 1 0 -4 5 -3 -1 2 2 1 -3 3 0] [4 -2 0 0 0 4 -1 0 -2 4 5 -1 -1 1 0 -1 1 -3 3 -1 2 -2 0 2 -3 -2 1 2 0 -2 3 1] [5 -5/2 -3/2 0 0 5 -2 -1 -3 3 4 -3 0 1 -1 0 0 -2 2 1 1 0 0 0 -2 -1 1 0 2 -2 0 2] [4 -5 1 0 0 5 -1 2 -3 5 5 -2 -2 1 -1 0 2 -2 4 -1 4 -2 -3 3 -3 0 1 2 0 -3 1 1] [0 -1 1 0 0 0 1 2 0 -3 0 -2 0 1 1 -2 0 2 2 0 -1 3 -1 0 -2 0 1 4 -2 -3 6 -3] [4 -4 2 0 0 4 -2 4 -4 2 4 -6 0 2 -2 0 0 2 2 0 2 2 -6 2 0 -2 2 0 2 -4 0 2], [1 1/2 -5/2 1 1 1 -1 0 0 2 2 -2 1 0 0 0 0 1 -2 0 3 -1 -2 2 -2 1 0 0 1 -1 -1 3/2] [2 -3/2 -1/2 2 1 1 -3 1 -3 2 2 0 1 -2 0 -2 2 -1 1 4 1 0 -1 1 -2 -2 1 2 0 -2 -4 7/2] [0 1/2 -5/2 2 1 1 -3 1 -1 2 4 0 3 -2 0 -2 0 1 3 0 5 -2 -1 1 -2 0 1 2 -2 -2 -2 5/2] [-1 5/2 -3/2 1 -2 -1 0 0 1 0 2 0 2 0 1 -1 2 0 0 -1 4 -2 -1 0 -3 3 1 2 -1 -2 0 -1/2] [5 -3 3 -1 1 -1 -1 3 -5 2 2 -1 -2 1 1 -2 4 -3 2 3 -2 3 -4 3 -1 -3 3 0 2 -2 -3 2] [3 -5/2 3/2 0 1 -1 -2 3 -6 2 0 -2 1 0 1 0 1 -1 2 3 -3 4 -4 2 1 -4 2 0 1 -1 -3 5/2] [1 1/2 1/2 0 1 -1 0 3 -4 -1 -1 0 -1 -1 1 1 3 -1 2 2 -3 5 -4 2 -1 -4 1 2 1 0 -2 1/2] [1 -1 0 0 0 -1 -1 0 0 0 1 -2 0 1 0 -2 2 -1 0 2 -1 1 0 -1 0 -1 2 1 0 0 -2 1/2] [3 -2 2 0 1 -2 -1 2 -2 0 -1 -1 0 0 0 -1 0 1 2 2 -3 3 -1 0 2 -3 2 0 -1 0 -2 1] [3 0 -1 0 1 0 1 4 0 0 1 0 -1 -1 1 -1 1 0 2 0 3 1 -2 3 -3 -2 1 2 -2 -1 0 0] [-1 -1/2 1/2 2 -1 -2 0 -4 5 -3 0 1 3 -2 1 -1 -2 1 3 1 -1 -3 5 -2 -1 3 1 1 -2 0 -1 -2] [1 5/2 -3/2 1 -1 -2 3 0 2 -1 1 -2 0 1 1 0 -1 1 -2 -1 4 0 -1 0 -2 2 1 0 0 0 0 -2] [1 -1/2 -1/2 4 -1 1 -1 1 -2 -1 0 0 0 -2 1 -1 0 0 1 1 -1 2 1 -1 0 0 1 1 0 -1 -2 0] [-1 1/2 -1/2 1 -1 0 3 0 3 -1 -1 2 0 -1 1 3 -4 1 2 -4 3 -2 2 -1 0 4 -4 1 -2 1 3 -3] [0 0 0 1 1 -1 2 0 1 -2 -3 0 0 -1 1 1 -1 3 -1 1 0 0 0 0 1 -1 0 1 -2 1 1 -3/2] [3 -3/2 -1/2 1 0 0 2 1 -1 0 1 -2 -4 2 0 -3 3 0 -3 2 0 1 0 1 0 -1 2 0 0 -1 -1 3/2] [1 1/2 -3/2 4 -1 -1 3 1 1 -2 -1 -1 -2 -1 0 -1 2 1 -1 2 1 0 0 0 -1 0 2 1 -1 -1 1 -1] [4 0 0 1 -1 -2 4 0 3 -2 1 -2 -4 2 1 -1 3 -2 -2 2 1 0 -1 1 -3 0 2 0 1 -1 1 -1/2] [5 -3 1 0 0 3 1 6 -6 3 3 -3 -6 3 -1 -2 6 -2 -3 2 1 3 -7 4 -3 -3 3 -1 2 -3 1 7/2] [4 0 -2 2 -1 2 0 6 -4 1 4 -3 -4 0 2 -4 5 0 -3 2 4 2 -4 3 -6 0 3 0 0 -2 0 2] [4 -3 2 0 0 2 -1 3 -6 3 1 -2 -5 2 0 -2 5 -2 -5 3 0 3 -3 1 -1 -3 2 -2 3 -1 -1 7/2] [1 -1 1 0 1 -2 1 0 1 -2 -3 0 0 -1 1 -1 0 2 -2 2 -1 2 2 -1 -1 -1 1 0 -2 1 0 0] [1 -3/2 1/2 0 0 -1 0 -2 1 -1 0 -3 -1 1 0 -2 3 0 -5 3 -1 1 2 -1 -1 -1 2 0 0 1 -1 1/2] [-1 -3/2 3/2 0 0 0 -1 -6 4 -2 -2 0 1 0 0 0 -1 1 -3 1 -2 -2 6 -4 1 1 0 -1 -2 3 0 -1] [1 -5/2 3/2 0 1 0 -1 -3 3 -2 -2 -2 1 -1 2 0 1 1 -2 3 -1 -1 3 -1 -2 -2 1 0 -1 3 -1 -1/2] [2 -3/2 -3/2 2 1 1 -2 -3 3 -2 2 -2 1 -1 0 -3 2 1 -1 4 1 -2 3 -1 -3 -1 2 0 -2 3 -2 1/2] [2 -4 0 0 1 2 -2 -1 0 1 3 -2 0 -2 1 -3 3 -1 -1 3 1 -1 2 0 -3 -1 1 1 0 2 -3 3/2] [3 -1/2 -1/2 0 0 0 2 0 1 0 1 -3 -2 1 1 -2 2 0 -3 2 2 -1 1 0 -3 -2 1 1 0 2 0 1/2] [5 -3/2 -1/2 0 0 0 2 0 0 0 2 -4 -3 3 0 -3 3 -1 -4 3 3 0 0 -1 -2 -3 3 0 1 0 -1 3/2] [0 0 -1 0 0 -2 2 -2 3 -3 -2 -1 -2 2 1 -3 2 1 -4 2 0 0 3 -3 -1 1 2 2 -3 1 0 0] [3 -5/2 1/2 0 0 0 1 0 1 -1 1 -3 -2 1 2 -3 2 0 0 2 1 0 2 0 -3 -1 1 1 -1 1 0 0] [2 0 2 0 0 -2 2 -2 2 -4 -2 -2 -2 0 0 0 2 0 0 4 -2 2 2 -2 0 -4 0 2 0 4 -2 -1] ] > T := MatrixAlgebra(Z,2)![1,2,3,4]; > Cokernel(T); >> Cokernel(T); ^ Runtime error in 'Cokernel': Bad argument types Argument types given: AlgMatElt > Kernel(T); RSpace of degree 2, dimension 0 over Integer Ring > Cokernel(T); >> Cokernel(T); ^ Runtime error in 'Cokernel': Bad argument types Argument types given: AlgMatElt > SmithForm(T); [1 0] [0 2] > Attach("compute_cokerq.m"); > ComputeM(23); In file "/home/was/people/edixhoven/papers/compute_cokerq.m", line 23, column 12: >> LB := MakeLattice([V | Eltseq(b) : b in B]); ^ Runtime error: Undefined reference 'MakeLattice' in package "/home/was/people/edixhoven/papers/compute_cokerq.m" > M := ComputeM(23); Computing modular symbols of level 23 Time: 0.030 Computing Z-basis for Hecke algebra: Time: 0.020 Computing image Tp(B) of B under Tp: Time: 0.000 Computing span of B modulo span of Tp(B), i.e., T/Tp*T. Abelian Group of order 1 Mapping from: Lattice of rank 2 and degree 4 to Abelian Group of order 1 > M, d := ComputeM(23); Computing modular symbols of level 23 Time: 0.010 Computing Z-basis for Hecke algebra: Time: 0.010 Computing image Tp(B) of B under Tp: Time: 0.000 Computing span of B modulo span of Tp(B), i.e., T/Tp*T. > M; Abelian Group of order 1 > M, d := ComputeM(23); Computing modular symbols of level 23 Time: 0.020 Computing Z-basis for Hecke algebra: Time: 0.000 Computing image Tp(B) of B under Tp: Time: 0.000 Computing span of B modulo span of Tp(B), i.e., T/Tp*T. > d; 1 > M, d := ComputeM(23); Computing modular symbols of level 23 Time: 0.020 Computing Z-basis for Hecke algebra: Time: 0.000 Computing image Tp(B) of B under Tp: Time: 0.000 Computing span of B modulo span of Tp(B), i.e., T/Tp*T. >> M := ComputeM(23); ^ Runtime error in :=: Expected to assign 2 value(s) but only computed 1 value(s) > > M := ComputeM(23); Computing modular symbols of level 23 Time: 0.020 Computing Z-basis for Hecke algebra: Time: 0.000 Computing image Tp(B) of B under Tp: Time: 0.000 Computing span of B modulo span of Tp(B), i.e., T/Tp*T. > M := ComputeM(37); Computing modular symbols of level 37 Time: 0.020 Computing Z-basis for Hecke algebra: Time: 0.010 Computing image Tp(B) of B under Tp: Time: 0.000 Computing span of B modulo span of Tp(B), i.e., T/Tp*T. > M; Abelian Group of order 1 > time M := ComputeM(23); Computing modular symbols of level 389 Time: 0.190 Computing Z-basis for Hecke algebra: Time: 2.940 Computing image Tp(B) of B under Tp: Time: 0.020 Computing span of B modulo span of Tp(B), i.e., T/Tp*T. Time: 7.300 > M; Abelian Group of order 1 > M := CS(MS(389,2,+1)); > Determinant(HeckeOperator(M,389)); -1 > AtkinOperator; >> AtkinOperator; ^ User error: Identifier 'AtkinOperator' has not been declared or assigned > AtkinLehnerOperator; Intrinsic 'AtkinLehnerOperator' Signatures: ( M, q) -> AlgMatElt ( M, q) -> AlgMatElt The matrix that represents the qth Atkin-Lehner involution W_q on M, when it is defined on modular symbols. The involution W_q is defined on modular symbols when M has trivial or quadratic character and even weight (otherwise it doesn't preserve M). When possible, the Atkin-Lehner operator is normalized so that it is an involution; such normalization may not be possible when the weight k of M is >2 and the characteristic of the base field of M divides q. ( M, q) -> AlgMatElt The Atkin-Lehner involution W_q, where q is either Prime(M) or AuxiliaryLevel(M). > ; > time M := ComputeM(23); In file "/home/was/people/edixhoven/papers/compute_cokerq.m", line 23, column 44: >> L2 := MakeLattice([V | Eltseq(b) : b in TpB]); ^ Runtime error: Undefined reference 'TpB' in package "/home/was/people/edixhoven/papers/compute_cokerq.m" > > L2 := MakeLattice([V | Eltseq(b) : b in TpB]); >> L2 := MakeLattice([V | Eltseq(b) : b in TpB]); ^ User error: Identifier 'TpB' has not been declared or assigned > time M := ComputeM(23); >> time M := ComputeM(23); ^ Runtime error in 'ComputeM': 2 must exactly divide argument 1. > time M := ComputeM(23*2); Computing modular symbols of level 46 Time: 0.060 Computing Z-basis for Hecke algebra: Time: 0.020 Computing image W2(B) of B under W2: Time: 0.000 Computing M = T / (T / W_2 T): Time: 0.120 > #M; Infinity > M; Abelian Group isomorphic to Z + Z + Z + Z Defined on 4 generators (free) > time M := ComputeM(23*2); Computing modular symbols of level 46 Time: 0.040 Computing Z-basis for Hecke algebra: Time: 0.020 Computing image W2(B) of B under W2: Time: 0.000 Computing M = T / (T / W_2 T): Lattice of rank 5 and degree 25 Basis: ( 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) ( 0 0 0 0 2 0 0 1 0 1 0 -1 1 1 0 0 0 -1 2 -1 -1 1 -1 2 -1) ( 3 -2 0 -2 2 2 -2 0 1 -1 2 -2 -1 0 0 0 1 -2 0 1 -1 1 -1 0 2) ( 0 2 -2 0 2 1 1 -3 0 1 0 2 -2 -2 2 -1 3 -1 0 1 -1 2 -1 1 0) ( 1 -2 2 -4 2 1 -1 0 -3 1 0 1 0 -3 2 -1 0 2 -2 1 -1 0 1 -1 1) Lattice of rank 5 and degree 25 Basis: ( 1 -1 1 -2 0 0 0 1 -2 1 0 1 0 -2 1 0 0 0 -1 0 0 0 0 0 -1) ( 1 0 -1 1 -3 1 0 -1 -1 0 1 0 -2 0 -1 0 0 -1 1 -1 -1 1 -1 2 -2) ( 1 0 -1 -1 4 0 1 -2 1 1 1 -1 -1 0 1 1 0 -1 1 0 2 -1 0 -1 1) ( 4 -1 0 -1 1 1 0 0 1 1 1 -1 2 0 0 0 2 -1 2 -1 1 1 -1 2 -3) ( 1 -3 1 -2 1 1 -2 -1 -1 0 2 -3 -2 1 -1 1 -3 1 0 -1 1 -2 1 -1 0) L1 meet L2 = Lattice of rank 1 and degree 25 Basis: ( 0 4 -4 4 0 0 3 -3 3 0 0 1 -1 1 0 0 3 -3 3 0 0 2 -2 2 0) Time: 0.090 > time M := ComputeM(23*2); Computing modular symbols of level 46 Time: 0.060 Computing Z-basis for Hecke algebra: Time: 0.020 Computing image W2(B) of B under W2: Time: 0.010 Computing M = T / (T / W_2 T): Lattice of rank 5 and degree 25 Basis: ( 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) ( 0 0 0 0 2 0 0 1 0 1 0 -1 1 1 0 0 0 -1 2 -1 -1 1 -1 2 -1) ( 3 -2 0 -2 2 2 -2 0 1 -1 2 -2 -1 0 0 0 1 -2 0 1 -1 1 -1 0 2) ( 0 2 -2 0 2 1 1 -3 0 1 0 2 -2 -2 2 -1 3 -1 0 1 -1 2 -1 1 0) ( 1 -2 2 -4 2 1 -1 0 -3 1 0 1 0 -3 2 -1 0 2 -2 1 -1 0 1 -1 1) Lattice of rank 5 and degree 25 Basis: ( 0 0 0 0 2 0 -1 0 2 0 0 -1 1 1 0 0 1 0 0 0 1 0 0 0 -1) ( 1 -1 1 -2 0 0 0 1 -2 1 0 1 0 -2 1 0 0 0 -1 0 0 0 0 0 -1) ( 2 0 0 0 -2 1 -1 1 1 -1 0 1 1 -1 0 -1 3 -1 -1 1 -1 2 -1 1 -1) ( 0 2 -2 0 4 -1 3 -2 0 3 0 1 -1 -1 2 1 1 -2 2 -1 2 0 -1 1 -2) ( 3 -1 -1 0 0 1 1 -2 -1 2 2 -2 -1 1 -1 1 -1 -1 4 -3 1 0 -1 3 -4) L1 meet L2 = Lattice of rank 1 and degree 25 Basis: ( 0 4 -4 4 0 0 3 -3 3 0 0 1 -1 1 0 0 3 -3 3 0 0 2 -2 2 0) Time: 0.160 > #M; Infinity > M; Abelian Group isomorphic to Z + Z + Z + Z Defined on 4 generators (free) >