I encountered the following problem:
s is the trivial submodule of quo, where quo is a quotient module of 
modular symbol space.  
The zero element b of quo should be an element of s, but sage says no when 
I do the following process:

S = ModularSymbols(Gamma1(13),2).cuspidal_subspace()
ker = S.module().subspace([0])
quo=S.module()/ker
s = quo.submodule([])
a = (0,0,0,0,0,0,0,0,0,0,0,0,0,0,0)
aa=S.module()(a)
b=quo(aa)
b in submodule

it gives FALSE


Anybody has any idea where I am wrong? Thank you!


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