Errors when plotting zeta function parametrically

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I have the following piece of code:

def f(x):
    return(real_part(zeta(1+x*I)).n())
def g(x):
    return(imag_part(zeta(1+x*I)).n())
parametric_plot([f(x),g(x)], (x,2,10))

It should be moderately clear what I'm trying to do - I want to produce a plot of Riemann zeta function on the line Re(z)=1 using parametric plotting. However, when I try to plot this, I get an error TypeError: cannot evaluate symbolic expression numerically. I also tried the same thing without the .n(), but then I get an error TypeError: unable to coerce to a real number. I couldn't find any help online.

It's worth noting that trying to plot function f(x) I get the same error with .n(), but it works just fine without it (as opposed to parametric plot). Does anyone have an idea how to fix the issue?

Thanks in advance.