Why does Sage say the norm of a complex number a+b*I is a^2+b^2?


sage: norm(1+2*I)
5


In MMA:

In[1]:= Norm[1+2*I]

Out[1]= Sqrt[5]

Wikipedia and mathworld both agree that the norm should be sqrt(5) (i.e., the square root of the number times its conjugate).

Note that abs() seems right:

sage: abs(1+2*I)
sqrt(5)

Thanks,

Jason

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