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2022-06-11 15:24:02 +0100 | commented answer | Implicit plot with complex function Yes, I'm working on Dessins d'enfants. You too? I would be interested in knowing in what laboratory you're working... we |

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2020-12-20 13:01:43 +0100 | commented question | Implicit plot with complex function Thanks for your help, I added some examples. |

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2020-12-20 01:44:39 +0100 | asked a question | Implicit plot with complex function I have a complex function $f:\mathbb{C}\to\mathbb{C}$ and want to draw the locus where $f$ is in the interval $[0,1]$. I made the following (where $f$ is my complex function): That works well for small functions (low degree)
but for big functions it's too long.
For example with
$$ f(z)=-\frac{{\left(z^{4} - 6 z^{3} + 12 z^{2} - 8 \, z\right)} {\left(z - 1\right)}^{3} {\left(z - 3\right)}}{{\left(2z - 3\right)} {\left(z - 2\right)}^{3} z} $$
there is no problem (a few second), but with
$$ f(z)=-\frac{{\left(z^{8} - 16 z^{7} + 108 z^{6} - 400 z^{5} + 886 z^{4} - 1200 z^{3} + 972 z^{2} - 432 z + 81\right)} {\left(z - 2\right)}^{6} {\left(z - 4\right)} z}{{\left(6 z^{4} - 48 z^{3} + 140 z^{2} - 176 z + 81\right)} {\left(z - 1\right)}^{4} {\left(z - 3\right)}^{4}} $$
that's too long.
I think there should be something better. I've seen for example
the function Any idea? |

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