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Plot complex numbers in the complex number field

Richard Premm, private
Posted 3 years ago

Hi, I'm using Mathematica 10 and want to plot a list of complex numbers in the complex number field and simply don't succeed to. ListPlot is not working, ComplexListPlot is not available yet, ReIm not anymore. The application is to read out the complex numbers from a text file and plot them. My code so far:

FileData = Import["File.txt"];
Pole = ToExpression[StringSplit[FileData, "\n"], StandardForm];

Any help is highly appreciated, Richard
POSTED BY: Richard Premm
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That works. Thanks again a lot, I owe you one!
POSTED BY: Richard Premm
Rohit Namjoshi
Rohit Namjoshi
Posted 3 years ago

Re and Im have been in WL since V1.

ListPlot[{Re@#, Im@#} & /@ {1, -1 - I, -1 + I},
 PlotTheme -> "Detailed",
 PlotMarkers -> "OpenMarkers",
 AspectRatio -> Automatic]
POSTED BY: Rohit Namjoshi

My installation doesn't recognize the command ReIm. The help window gives me the info: "AlgebraReIm was available as an add-on package in previous versions of Mathematica and is now available on the web at library.wolfram.com/infocenter/MathSource/6759." The m-file that I can download under this link contains the text:

(* ::Package:: *)
(* :Title: ReIm *)
(* :Summary:
The ReIm package is obsolete. Use instead functionality
provided by Assuming, Assumptions, ComplexExpand, Refine,
and similar functions.
*)
(* :Copyright: Copyright 1990-2007, Wolfram Research, Inc.  *)
Message[General::obspkg,"Algebra`ReIm`"];
BeginPackage["Algebra`ReIm`"]
(*ReIm::obslt =
"The ReIm package is obsolete. Use instead functionality provided by \
Assuming, ComplexExpand, Refine, and similar functions.";*)
EndPackage[]

Seems that ReIm is too old. I tried (and tried to understand) the mentioned commands but none worked.
POSTED BY: Richard Premm

Thanks, Rohit! I knew about ComplexListPlot in V12 already, but I'm honestly surprised that there is no simply solution in earlier versions. (Maybe in an add-on?) Thanks again!
POSTED BY: Richard Premm
Rohit Namjoshi
Rohit Namjoshi
Posted 3 years ago

Simple solution for earlier versions

ListPlot[ReIm@{1, -1 - I, -1 + I},
 PlotTheme -> "Detailed",
 PlotMarkers -> "OpenMarkers",
 AspectRatio -> Automatic]
POSTED BY: Rohit Namjoshi
Rohit Namjoshi
Rohit Namjoshi
Posted 3 years ago

Hi Richard,

ComplexListPlot was added in V12.

ComplexListPlot[{1, -1 - I, -1 + I}, PlotTheme -> "Detailed", PlotMarkers -> "OpenMarkers"]

enter image description here
POSTED BY: Rohit Namjoshi
Rohit Namjoshi
Rohit Namjoshi
Posted 3 years ago

Can you provide a sample of Pole?
POSTED BY: Rohit Namjoshi

Hello Rohit, thanks for your reply.

Pole = {1,-1-I,-1+I}

after import and split. Three little complex numbers. Nothing more. The final graphic should be looking similar to this: enter image description here
POSTED BY: Richard Premm

Moderators' note for the readers: The following thread was suggested for the author of this question before:
https://mathematica.stackexchange.com/questions/7275/how-can-i-generate-this-domain-coloring-plot
POSTED BY: EDITORIAL BOARD
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