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i1 : run "date";
Tue May  5 17:30:00 EDT 2026

i2 : needsPackage("LieAlgebraRepresentations");

i3 : so10 = simpleLieAlgebra("D",5);

i4 : Splus = irreducibleLieAlgebraModule(so10,{0,0,0,1,0});

i5 : peek Splus

o5 = LieAlgebraModule{cache => CacheTable{}                                              }
                      DecompositionIntoIrreducibles => VirtualTally{{0, 0, 0, 1, 0} => 1}
                      LieAlgebra => so10

i6 : Splusstar = dual Splus;

i7 : W8Splusstar=exteriorPower(8,Splusstar);

i8 : peek W8Splusstar

o8 = LieAlgebraModule{cache => CacheTable{}                                              }
                      DecompositionIntoIrreducibles => VirtualTally{{0, 0, 2, 0, 0} => 1}
                                                                    {2, 0, 0, 1, 1} => 1
                                                                    {4, 0, 0, 0, 0} => 1
                      LieAlgebra => so10

i9 : dim irreducibleLieAlgebraModule(so10,{0,0,2,0,0})

o9 = 4125

i10 : dim irreducibleLieAlgebraModule(so10,{2,0,0,1,1})

o10 = 8085

i11 : dim irreducibleLieAlgebraModule(so10,{4,0,0,0,0})

o11 = 660

i12 : V40000=irreducibleLieAlgebraModule(so10,{4,0,0,0,0});

i13 : S2V40000=symmetricPower(2,V40000);

i14 : peek S2V40000

o14 = LieAlgebraModule{cache => CacheTable{}                                              }
                       DecompositionIntoIrreducibles => VirtualTally{{0, 0, 0, 0, 0} => 1}
                                                                     {0, 2, 0, 0, 0} => 1
                                                                     {0, 4, 0, 0, 0} => 1
                                                                     {2, 0, 0, 0, 0} => 1
                                                                     {2, 2, 0, 0, 0} => 1
                                                                     {4, 0, 0, 0, 0} => 1
                                                                     {4, 2, 0, 0, 0} => 1
                                                                     {6, 0, 0, 0, 0} => 1
                                                                     {8, 0, 0, 0, 0} => 1
                       LieAlgebra => so10

i15 : run "date";
Tue May  5 17:53:49 EDT 2026

i16 :