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@@ -43,8 +43,8 @@ labeled by its coefficient \\(c^{\gamma}_{\alpha \beta}\\) in the expansion of t
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  \\(\mathfrak{S}_{\alpha} \mathfrak{S}_{\beta}\\). We call permutations \\(\alpha\\) and \\(\beta\\)
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  *lower index permutations 1* and *2* respectively. We call \\(\gamma\\) the *upper index
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  permutation*. The datasets are organized so that
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- \\(\alpha\\) and \\(\beta\\) are always drawn from the symmetric group on \\(n\\) elements
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- (we provide datasets for \\(n = 3\\), \\(4\\), and \\(5\\)), but \\(\gamma\\) may belong to a
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  strictly larger symmetric group. Not all possible triples of permutations are included
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  since the vast majority of these would be zero. The dataset consists of an approximately
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  equal number of zero and nonzero coefficients (but they are not balanced between quantities
 
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  \\(\mathfrak{S}_{\alpha} \mathfrak{S}_{\beta}\\). We call permutations \\(\alpha\\) and \\(\beta\\)
44
  *lower index permutations 1* and *2* respectively. We call \\(\gamma\\) the *upper index
45
  permutation*. The datasets are organized so that
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+ \\(\alpha\\) and \\(\beta\\) are always drawn from the symmetric group on \\(n\\) elements,
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+ but \\(\gamma\\) may belong to a
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  strictly larger symmetric group. Not all possible triples of permutations are included
49
  since the vast majority of these would be zero. The dataset consists of an approximately
50
  equal number of zero and nonzero coefficients (but they are not balanced between quantities