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Following @achrzesz's inspiration :

sage: SR(str(SHV.display()))._sympy_().simplify()
0

HTH,

Following @achrzesz's inspiration :

sage: SR(str(SHV.display()))._sympy_().simplify()
0

And, BTW,

sage: SR(str(SHV.display()))._mathematica_().FullSimplify()
0

HTH,

Following @achrzesz's inspiration :

sage: SR(str(SHV.display()))._sympy_().simplify()
0

And, BTW,BTW, using the gratis-but-not-free Wolfram engine :

sage: SR(str(SHV.display()))._mathematica_().FullSimplify()
0

HTH,

Following @achrzesz's inspiration :

sage: SR(str(SHV.display()))._sympy_().simplify()
0

And, BTW, using the gratis-but-not-free Wolfram engine :

sage: SR(str(SHV.display()))._mathematica_().FullSimplify()
0

I agree that the SR(str(SHV.display())) dirty trick is atrocious ; its sole virtue is to work in this case...

HTH,

Following @achrzesz's inspiration :

sage: SR(str(SHV.display()))._sympy_().simplify()
0

And, BTW, using the gratis-but-not-free Wolfram engine :

sage: SR(str(SHV.display()))._mathematica_().FullSimplify()
0

I agree that the SR(str(SHV.display())) dirty trick is atrocious ; its sole virtue is to work in this case...

EDIT :

See below @FrédéricC's comment, which led me to :

sage: SHV[1].expr(method="sympy").simplify()
0

HTH,