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Input:
x^x
Write:
`x^x`
Compute:
$$im2D({x}^{x})$$
Output:
$$im2D({x}^{x})== (-im({i}^{i\ x}))\ im({x}^{i\ x})+re({i}^{i\ x})\ re({x}^{i\ x})\ and\ im({x}^{i\ x})\ re({i}^{i\ x})+im({i}^{i\ x})\ re({x}^{i\ x})$$
Result: $$(-im({i}^{i\ x}))\ im({x}^{i\ x})+re({i}^{i\ x})\ re({x}^{i\ x})\ and\ im({x}^{i\ x})\ re({i}^{i\ x})+im({i}^{i\ x})\ re({x}^{i\ x})$$
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