History of Elementary symmetric polynomials $e_k$

       \ alphabet=[str(g) for g in R.gens()]))\n\nelementary(7, 3)                \       \ # more variables than this table holds"-Numbers: []+Numbers:+- params:+    n: '1'+    k: '1'+  number: x1+- params:+    n: '2'+    k: '1'+  number: x1 + x2+- params:+    n: '2'+    k: '2'+  number: x1*x2+- params:+    n: '3'+    k: '1'+  number: x1 + x2 + x3+- params:+    n: '3'+    k: '2'+  number: x1*x2 + x1*x3 + x2*x3+- params:+    n: '3'+    k: '3'+  number: x1*x2*x3+- params:+    n: '4'+    k: '1'+  number: x1 + x2 + x3 + x4+- params:+    n: '4'+    k: '2'+  number: x1*x2 + x1*x3 + x2*x3 + x1*x4 + x2*x4 + x3*x4+- params:+    n: '4'+    k: '3'+  number: x1*x2*x3 + x1*x2*x4 + x1*x3*x4 + x2*x3*x4+- params:+    n: '4'+    k: '4'+  number: x1*x2*x3*x4+- params:+    n: '5'+    k: '1'+  number: x1 + x2 + x3 + x4 + x5+- params:+    n: '5'+    k: '2'+  number: x1*x2 + x1*x3 + x2*x3 + x1*x4 + x2*x4 + x3*x4 + x1*x5 + x2*x5 + x3*x5 ++    x4*x5+- params:+    n: '5'+    k: '3'+  number: x1*x2*x3 + x1*x2*x4 + x1*x3*x4 + x2*x3*x4 + x1*x2*x5 + x1*x3*x5 + x2*x3*x5+    + x1*x4*x5 + x2*x4*x5 + x3*x4*x5+- params:+    n: '5'+    k: '4'+  number: x1*x2*x3*x4 + x1*x2*x3*x5 + x1*x2*x4*x5 + x1*x3*x4*x5 + x2*x3*x4*x5+- params:+    n: '5'+    k: '5'+  number: x1*x2*x3*x4*x5+- params:+    n: '6'+    k: '1'+  number: x1 + x2 + x3 + x4 + x5 + x6+- params:+    n: '6'+    k: '2'+  number: x1*x2 + x1*x3 + x2*x3 + x1*x4 + x2*x4 + x3*x4 + x1*x5 + x2*x5 + x3*x5 ++    x4*x5 + x1*x6 + x2*x6 + x3*x6 + x4*x6 + x5*x6+- params:+    n: '6'+    k: '3'+  number: x1*x2*x3 + x1*x2*x4 + x1*x3*x4 + x2*x3*x4 + x1*x2*x5 + x1*x3*x5 + x2*x3*x5+    + x1*x4*x5 + x2*x4*x5 + x3*x4*x5 + x1*x2*x6 + x1*x3*x6 + x2*x3*x6 + x1*x4*x6 ++    x2*x4*x6 + x3*x4*x6 + x1*x5*x6 + x2*x5*x6 + x3*x5*x6 + x4*x5*x6+- params:+    n: '6'+    k: '4'+  number: x1*x2*x3*x4 + x1*x2*x3*x5 + x1*x2*x4*x5 + x1*x3*x4*x5 + x2*x3*x4*x5 + x1*x2*x3*x6+    + x1*x2*x4*x6 + x1*x3*x4*x6 + x2*x3*x4*x6 + x1*x2*x5*x6 + x1*x3*x5*x6 + x2*x3*x5*x6+    + x1*x4*x5*x6 + x2*x4*x5*x6 + x3*x4*x5*x6+- params:+    n: '6'+    k: '5'+  number: x1*x2*x3*x4*x5 + x1*x2*x3*x4*x6 + x1*x2*x3*x5*x6 + x1*x2*x4*x5*x6 + x1*x3*x4*x5*x6+    + x2*x3*x4*x5*x6+- params:+    n: '6'+    k: '6'+  number: x1*x2*x3*x4*x5*x6