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i1 : run "date";
Sun May 10 07:19:46 EDT 2026

i2 : needsPackage("LieAlgebraRepresentations");

i3 : sp6 = simpleLieAlgebra("C",3);

i4 : V001 = irreducibleLieAlgebraModule(sp6,{0,0,1});

i5 : V001star = dual V001;

i6 : peek V001star

o6 = LieAlgebraModule{cache => CacheTable{}                                        }
                      DecompositionIntoIrreducibles => VirtualTally{{0, 0, 1} => 1}
                      LieAlgebra => sp6

i7 : W9V001star=exteriorPower(9,V001star);

i8 : peek W9V001star

o8 = LieAlgebraModule{cache => CacheTable{}                                        }
                      DecompositionIntoIrreducibles => VirtualTally{{0, 0, 1} => 1}
                                                                    {1, 2, 0} => 1
                                                                    {2, 1, 1} => 1
                                                                    {5, 0, 0} => 1
                      LieAlgebra => sp6

i9 : V500 = irreducibleLieAlgebraModule(sp6,{5,0,0});

i10 : S2V500=symmetricPower(2,V500);

i11 : peek S2V500

o11 = LieAlgebraModule{cache => CacheTable{}                                         }
                       DecompositionIntoIrreducibles => VirtualTally{{2, 0, 0} => 1 }
                                                                     {2, 1, 0} => 1
                                                                     {2, 2, 0} => 1
                                                                     {2, 3, 0} => 1
                                                                     {2, 4, 0} => 1
                                                                     {6, 0, 0} => 1
                                                                     {6, 1, 0} => 1
                                                                     {6, 2, 0} => 1
                                                                     {10, 0, 0} => 1
                       LieAlgebra => sp6

i12 : V200 = irreducibleLieAlgebraModule(sp6,{2,0,0});

i13 : S2V200=symmetricPower(2,V200);

i14 : peek S2V200

o14 = LieAlgebraModule{cache => CacheTable{}                                        }
                       DecompositionIntoIrreducibles => VirtualTally{{0, 0, 0} => 1}
                                                                     {0, 1, 0} => 1
                                                                     {0, 2, 0} => 1
                                                                     {4, 0, 0} => 1
                       LieAlgebra => sp6

i15 : run "date";
Sun May 10 07:19:52 EDT 2026

i16 :