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complex numbers and parametric curves

I would liked to be able to plot a 2d parametric plot of zeta(1+t), -2 <= t <= 2.

But complex numbers and parametric plots seem to barf at each other.

I tried many variants of the following code:

parametric_plot( (zeta(1+tI).real(), zeta(1+tI).imag()), (t, -2, 2))

But I get the following kind of response:

TypeError: Unable to convert 1.00000000000000*I to float; use abs() or real_part() as desired

complex numbers and parametric curves

I would liked like to be able to plot a 2d parametric plot of zeta(1+t), zeta(t+I), -2 <= t <= 2. 2, where I is the square root of -1.

But complex numbers and parametric plots seem to barf at each other.

I tried many variants of the following code:

parametric_plot( (zeta(1+tI).real(), zeta(1+tI).imag()), (zeta(t+I).real(), zeta(t +I).imag()), (t, -2, 2))

But I get the following kind of response:

TypeError: Unable to convert 1.00000000000000*I to float; use abs() or real_part() as desired