History of Monomial symmetric polynomials $m_\lambda$

       \               for e in sorted(set(permutations(exps))))\n\nmonomial_symmetric(5,\       \ [3, 2])    # a partition of 5, past this table"-Numbers: []+Numbers:+- params:+    n: '1'+    lambda: '1'+  number: x1+- params:+    n: '1'+    lambda: '2'+  number: x1^2+- params:+    n: '1'+    lambda: '3'+  number: x1^3+- params:+    n: '1'+    lambda: '4'+  number: x1^4+- params:+    n: '2'+    lambda: '1'+  number: x1 + x2+- params:+    n: '2'+    lambda: '2'+  number: x1^2 + x2^2+- params:+    n: '2'+    lambda: 1,1+  number: x1*x2+- params:+    n: '2'+    lambda: '3'+  number: x1^3 + x2^3+- params:+    n: '2'+    lambda: 2,1+  number: x1^2*x2 + x1*x2^2+- params:+    n: '2'+    lambda: '4'+  number: x1^4 + x2^4+- params:+    n: '2'+    lambda: 3,1+  number: x1^3*x2 + x1*x2^3+- params:+    n: '2'+    lambda: 2,2+  number: x1^2*x2^2+- params:+    n: '3'+    lambda: '1'+  number: x1 + x2 + x3+- params:+    n: '3'+    lambda: '2'+  number: x1^2 + x2^2 + x3^2+- params:+    n: '3'+    lambda: 1,1+  number: x1*x2 + x1*x3 + x2*x3+- params:+    n: '3'+    lambda: '3'+  number: x1^3 + x2^3 + x3^3+- params:+    n: '3'+    lambda: 2,1+  number: x1^2*x2 + x1*x2^2 + x1^2*x3 + x2^2*x3 + x1*x3^2 + x2*x3^2+- params:+    n: '3'+    lambda: 1,1,1+  number: x1*x2*x3+- params:+    n: '3'+    lambda: '4'+  number: x1^4 + x2^4 + x3^4+- params:+    n: '3'+    lambda: 3,1+  number: x1^3*x2 + x1*x2^3 + x1^3*x3 + x2^3*x3 + x1*x3^3 + x2*x3^3+- params:+    n: '3'+    lambda: 2,2+  number: x1^2*x2^2 + x1^2*x3^2 + x2^2*x3^2+- params:+    n: '3'+    lambda: 2,1,1+  number: x1^2*x2*x3 + x1*x2^2*x3 + x1*x2*x3^2+- params:+    n: '4'+    lambda: '1'+  number: x1 + x2 + x3 + x4+- params:+    n: '4'+    lambda: '2'+  number: x1^2 + x2^2 + x3^2 + x4^2+- params:+    n: '4'+    lambda: 1,1+  number: x1*x2 + x1*x3 + x2*x3 + x1*x4 + x2*x4 + x3*x4+- params:+    n: '4'+    lambda: '3'+  number: x1^3 + x2^3 + x3^3 + x4^3+- params:+    n: '4'+    lambda: 2,1+  number: x1^2*x2 + x1*x2^2 + x1^2*x3 + x2^2*x3 + x1*x3^2 + x2*x3^2 + x1^2*x4 + x2^2*x4+    + x3^2*x4 + x1*x4^2 + x2*x4^2 + x3*x4^2+- params:+    n: '4'+    lambda: 1,1,1+  number: x1*x2*x3 + x1*x2*x4 + x1*x3*x4 + x2*x3*x4+- params:+    n: '4'+    lambda: '4'+  number: x1^4 + x2^4 + x3^4 + x4^4+- params:+    n: '4'+    lambda: 3,1+  number: x1^3*x2 + x1*x2^3 + x1^3*x3 + x2^3*x3 + x1*x3^3 + x2*x3^3 + x1^3*x4 + x2^3*x4+    + x3^3*x4 + x1*x4^3 + x2*x4^3 + x3*x4^3+- params:+    n: '4'+    lambda: 2,2+  number: x1^2*x2^2 + x1^2*x3^2 + x2^2*x3^2 + x1^2*x4^2 + x2^2*x4^2 + x3^2*x4^2+- params:+    n: '4'+    lambda: 2,1,1+  number: x1^2*x2*x3 + x1*x2^2*x3 + x1*x2*x3^2 + x1^2*x2*x4 + x1*x2^2*x4 + x1^2*x3*x4+    + x2^2*x3*x4 + x1*x3^2*x4 + x2*x3^2*x4 + x1*x2*x4^2 + x1*x3*x4^2 + x2*x3*x4^2+- params:+    n: '4'+    lambda: 1,1,1,1+  number: x1*x2*x3*x4+- params:+    n: '5'+    lambda: '1'+  number: x1 + x2 + x3 + x4 + x5+- params:+    n: '5'+    lambda: '2'+  number: x1^2 + x2^2 + x3^2 + x4^2 + x5^2+- params:+    n: '5'+    lambda: 1,1+  number: x1*x2 + x1*x3 + x2*x3 + x1*x4 + x2*x4 + x3*x4 + x1*x5 + x2*x5 + x3*x5 ++    x4*x5+- params:+    n: '5'+    lambda: '3'+  number: x1^3 + x2^3 + x3^3 + x4^3 + x5^3+- params:+    n: '5'+    lambda: 2,1+  number: x1^2*x2 + x1*x2^2 + x1^2*x3 + x2^2*x3 + x1*x3^2 + x2*x3^2 + x1^2*x4 + x2^2*x4+    + x3^2*x4 + x1*x4^2 + x2*x4^2 + x3*x4^2 + x1^2*x5 + x2^2*x5 + x3^2*x5 + x4^2*x5+    + x1*x5^2 + x2*x5^2 + x3*x5^2 + x4*x5^2+- params:+    n: '5'+    lambda: 1,1,1+  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'+    lambda: '4'+  number: x1^4 + x2^4 + x3^4 + x4^4 + x5^4+- params:+    n: '5'+    lambda: 3,1+  number: x1^3*x2 + x1*x2^3 + x1^3*x3 + x2^3*x3 + x1*x3^3 + x2*x3^3 + x1^3*x4 + x2^3*x4+    + x3^3*x4 + x1*x4^3 + x2*x4^3 + x3*x4^3 + x1^3*x5 + x2^3*x5 + x3^3*x5 + x4^3*x5+    + x1*x5^3 + x2*x5^3 + x3*x5^3 + x4*x5^3+- params:+    n: '5'+    lambda: 2,2+  number: x1^2*x2^2 + x1^2*x3^2 + x2^2*x3^2 + x1^2*x4^2 + x2^2*x4^2 + x3^2*x4^2 ++    x1^2*x5^2 + x2^2*x5^2 + x3^2*x5^2 + x4^2*x5^2+- params:+    n: '5'+    lambda: 2,1,1+  number: x1^2*x2*x3 + x1*x2^2*x3 + x1*x2*x3^2 + x1^2*x2*x4 + x1*x2^2*x4 + x1^2*x3*x4+    + x2^2*x3*x4 + x1*x3^2*x4 + x2*x3^2*x4 + x1*x2*x4^2 + x1*x3*x4^2 + x2*x3*x4^2+    + x1^2*x2*x5 + x1*x2^2*x5 + x1^2*x3*x5 + x2^2*x3*x5 + x1*x3^2*x5 + x2*x3^2*x5+    + x1^2*x4*x5 + x2^2*x4*x5 + x3^2*x4*x5 + x1*x4^2*x5 + x2*x4^2*x5 + x3*x4^2*x5+    + x1*x2*x5^2 + x1*x3*x5^2 + x2*x3*x5^2 + x1*x4*x5^2 + x2*x4*x5^2 + x3*x4*x5^2+- params:+    n: '5'+    lambda: 1,1,1,1+  number: x1*x2*x3*x4 + x1*x2*x3*x5 + x1*x2*x4*x5 + x1*x3*x4*x5 + x2*x3*x4*x5