The Jacobi delta amplitude function of *z* and parameter *m* in SageMath. Defined by

Note that all Jacobi elliptic functions in Math use the parameter rather than the elliptic modulus *k*, which is related to the parameter by \( m = k^2 \).

Real part on the real axis:

Imaginary part on the real axis is zero.

Real part on the imaginary axis:

Imaginary part on the imaginary axis is zero.

Real part on the complex plane:

Imaginary part on the complex plane:

Absolute value on the complex plane:

Function category: elliptic functions