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I found the is_Symmetric() function in a tutorial, but I tried to use this with s([2,1]), which is clearly symmetric, but this is what I got

from sage.combinat.sf.sfa import is_SymmetricFunction R.<x1,x2,x3>=PolynomialRing(QQ,3); R s = SymmetricFunctions(QQ).schur() f=s([2,1]).expand(3,'x1,x2,x3') print(f) is_SymmetricFunction(f)

x1^2x2 + x1x2^2 + x1^2x3 + 2x1x2x3 + x2^2x3 + x1x3^2 + x2*x3^2 False

Can someone please help?

I found the is_Symmetric() function in a tutorial, but I tried to use this with s([2,1]), which is clearly symmetric, but this is what I got

from sage.combinat.sf.sfa import is_SymmetricFunction
R.<x1,x2,x3>=PolynomialRing(QQ,3); R
s = SymmetricFunctions(QQ).schur()
f=s([2,1]).expand(3,'x1,x2,x3')
print(f)
is_SymmetricFunction(f)
is_SymmetricFunction(f)
  
x1^2x2 x1^2*x2 + x1x2^2 x1*x2^2 + x1^2x3 x1^2*x3 + 2x1x2x3 2*x1*x2*x3 + x2^2x3 x2^2*x3 + x1x3^2 x1*x3^2 + x2*x3^2
FalseFalse

I found the is_Symmetric() function in a tutorial, but I tried to use this with s([2,1]), which is clearly symmetric, but this is what I got

from sage.combinat.sf.sfa import is_SymmetricFunction
R.<x1,x2,x3>=PolynomialRing(QQ,3); R
s = SymmetricFunctions(QQ).schur()
f=s([2,1]).expand(3,'x1,x2,x3')
print(f)
is_SymmetricFunction(f)

x1^2*x2 + x1*x2^2 + x1^2*x3 + 2*x1*x2*x3 + x2^2*x3 + x1*x3^2 + x2*x3^2
False

Can someone please help?