What are the best buff spells for a 10th level party to use on a fighter for a 1v1 arena vs a dragon? How to Set Plot Background Color in Matplotlib? By clicking Accept all cookies, you agree Stack Exchange can store cookies on your device and disclose information in accordance with our Cookie Policy. Placing Colorbars Matplotlib 3.6.2 documentation Matplotlib subplots () Function In this tutorial, we will cover the subplots () function in the state-based interface Pyplot in the Matplotlib Library. Create x and y data points using numpy. What does ** (double star/asterisk) and * (star/asterisk) do for parameters? Matplotlib Colorbar Range | Delft Stack Writing code in comment? If a scalar, indicates the length of both the minimum and maximum These are How do I change the size of figures drawn with Matplotlib? In the below example by using 0.5 as a factor, We are having the original color-bar size. Thanks for any help, Evan _Evan_Mason March 27, 2007, 9:01pm #2 Setting the limits on a colorbar of a contour plot How to set colorbar limits? - MATLAB Answers - MATLAB Central - MathWorks Iterating over dictionaries using 'for' loops, Save plot to image file instead of displaying it using Matplotlib. Find centralized, trusted content and collaborate around the technologies you use most. To subscribe to this RSS feed, copy and paste this URL into your RSS reader. orientation if it is set (vertical colorbars on the right, horizontal Lets understand with step-wise implementation: Import required library and set up some generic data. Plot both positive and negative values between +/- 1.2. Are certain conferences or fields "allocated" to certain universities? matplotlib.colorbar Matplotlib 3.1.0 documentation If ax is an instance of Subplot and use_gridspec is It provides a scale for number-to-color ratio based on the data in a graph. Does English have an equivalent to the Aramaic idiom "ashes on my head"? Defaults to (0.0, 0.5) if vertical; (0.5, 1.0) if horizontal. Here's an example: Use the CLIM function (equivalent to CAXIS function in MATLAB): Not sure if this is the most elegant solution (this is what I used), but you could scale your data to the range between 0 to 1 and then modify the colorbar: With the two different limits you can control the range and legend of the colorbar. How do I set the figure title and axes labels font size? What is the difference between __str__ and __repr__? norm=NoNorm()) or other unusual circumstances. add_lines(self, CS, erase=True)[source] Add the lines from a non-filled ContourSetto the colorbar. Basic continuous colorbar # pyplot.colorbar function, which sets the default to the current How can I more explicitly set the colorbar limits? and bottom are horizontal). Values of the array higher than the max will appear as the top color, and values less than the min will appear with the bottom color. In this article, we will try to set the color range using the matplotlib Python module. added labels ImportanceOfBeingErnest added this to the v3.2.0 milestone on Apr 13, 2019 Change the limits of the colormap (this issue) Allow for a normalization that cuts the colormap ( Enh: DivergingNorm Fair #15333) Provide a colorbar factory (as discussed on discourse) v3.5.0, completed In this How to Adjust the Position of a Matplotlib Colorbar? Why do the "<" and ">" characters seem to corrupt Windows folders? is the default setting). Stack Overflow for Teams is moving to its own domain! Replace first 7 lines of one file with content of another file. This affected both the color itself and the labels of the color bar. Is any elementary topos a concretizable category? A planet you can take off from, but never land back, SSH default port not changing (Ubuntu 22.10). Why should you not leave the inputs of unused gates floating with 74LS series logic? Why does sending via a UdpClient cause subsequent receiving to fail? How To Highlight a Time Range in Time Series Plot in Python with Matplotlib? It turns out that not asking the EXACT question in Google doesn't help. Could be easier and safer this alternative if you have multiple plots: The best alternative is then to use a single color bar for the entire plot. with semi-transparent images (alpha < 1) and colorbar extensions; What sorts of powers would a superhero and supervillain need to (inadvertently) be knocking down skyscrapers? What does the "yield" keyword do in Python? gridspec module. When the Littlewood-Richardson rule gives only irreducibles? included automatically. "Least Astonishment" and the Mutable Default Argument. If cax is None, a new cax is created as an instance of By clicking Post Your Answer, you agree to our terms of service, privacy policy and cookie policy. The matplotlib.cm.ScalarMappable (i.e., AxesImage, 503), Mobile app infrastructure being decommissioned, 2022 Moderator Election Q&A Question Collection. To subscribe to this RSS feed, copy and paste this URL into your RSS reader. What do you call an episode that is not closely related to the main plot? "Use ScalarMappable.set_clim instead" means. If you want to limit the scale values to 25 or less, you need to either truncate the values in z that are greater than 25, or remove them before you make the plot. Mask out the negative and positive values. If sequences, values must have a length 1 less than boundaries. But that did not work. Use ScalarMappable.set_clim instead. Another way to create a colorbar using Matplotlib is by importing the matplotlib package and then creating the colorbar. Using the shrink attribute of colorbar () function we can scale the size of the colorbar. Making statements based on opinion; back them up with references or personal experience. rev2022.11.7.43011. Note that one can create a ScalarMappable "on-the-fly" to Syntax Parameters Return Examples How to Set Tick Labels Font Size in Matplotlib? In this example only the range between -0.5 to 1.5 is show in the bar, while the colormap covers -2 to 2 (so this could be your data range, which you record before the scaling). axes objects in which the mappable and the colorbar are drawn. The simplest case is just attaching a colorbar to each axes: The old behavior was, that the colorbar could be scaled using vmin and vmax keywords of the plot function. Matplotlib allows us a large range of Colorbar customization. Should I avoid attending certain conferences? By using our site, you Why does sending via a UdpClient cause subsequent receiving to fail? each region delimited by adjacent entries in boundaries, the color mapped I've been attempting to limit the range on the colorbar function in matplotlib. 503), Mobile app infrastructure being decommissioned, 2022 Moderator Election Q&A Question Collection. therefore, this workaround is not used by default (see issue #1188). I've updated my question to show what I'm after more clearly. Do we ever see a hobbit use their natural ability to disappear? How to Set X-Axis Values in Matplotlib in Python? What I want is to have the colorbar limits go from 0 to some max value (logically the first rounded integer beyond z_max). To what extent do crewmembers have privacy when cleaning themselves on Federation starships? For whatever reason, I cannot use the clim function. How to make IPython notebook matplotlib plot inline. Bases: matplotlib.colorbar.ColorbarBase This class connects a ColorbarBaseto a ScalarMappablesuch as a AxesImagegenerated via imshow(). How to set font size of Matplotlib axis Legend? Set Matplotlib colorbar size to match graph, Matplotlib.figure.Figure.colorbar() in Python, Matplotlib.pyplot.colorbar() function in Python, Rotation of colorbar tick labels in Matplotlib. How to change the font size on a matplotlib plot, Save plot to image file instead of displaying it using Matplotlib. How to hide the colorbar and legend in Plotly Express? How to change the colorbar size of a seaborn heatmap figure in Python? Matplotlib.axis.Axis.set() function in Python, Matplotlib.axis.Tick.set() function in Python. Now we format . Is it enough to verify the hash to ensure file is virus free? Not the answer you're looking for? doubts about setting range of colorbar in the hist2d plot - matplotlib, Return Variable Number Of Attributes From XML As Comma Separated Values. matplotlib.colorbar.Colorbar.minorticks_off. Download Jupyter notebook: colorbar_basics.ipynb. If None, ticks are determined automatically from the input. This affected both the color itself and the labels of the color bar. Connect and share knowledge within a single location that is structured and easy to search. This function helps in creating common layouts of subplots and it also includes the enclosing figure object, in a single call. size of the colorbar and shrink and aspect kwargs are ignored. The old behavior was, that the colorbar could be scaled using vmin and vmax keywords of the plot function. By clicking Post Your Answer, you agree to our terms of service, privacy policy and cookie policy. set for a given colormap using the colormap set_under and set_over methods. Asking for help, clarification, or responding to other answers. For each region delimited by adjacent entries in boundaries, the color mapped to the corresponding value in values will be used. Why are UK Prime Ministers educated at Oxford, not Cambridge? In the first graph, all colours between 0.3 and 1.0 won't feature in the graph, but will in the colourbar key at the side. Database Design - table creation & connecting records. Connect and share knowledge within a single location that is structured and easy to search. I suspect this is something to do with mappable and vmin and vmax, but I don't see anything specific about how to do this, either on this forum or on mpl/sourceforge. Normally only useful for indexed colors (i.e. For discrete colorbars (BoundaryNorm or contours), 'uniform' gives each As we move ahead, things will become a lot clearer to us. limit range of colorbar on bar graph in matplotlib Thank you for the reply. I think that's doing something subtly differentsorry I was probably not precise enough in my question. How does reproducing other labs' results work? how to verify the setting of linux ntp client? How to Set a Single Main Title for All the Subplots in Matplotlib? Now the behavior seems to be, that only the color is scaled, while the labels remain the automatic ones. With the two different limits, you can control the range and legend of the Colorbar. Matplotlib subplots() Function - Studytonight Setting a range limits the colors to a subsection, The Colorbar falsely conveys the information that the lower limit of the data is comparable to its upper limit. Setting a range for an image cmap is easy but this does not apply the same range to the minimum and maximum values of the colorbar. To learn more, see our tips on writing great answers. To learn more, see our tips on writing great answers. But I want the limits of the colorbar to be 10 and 30. set. a fraction of the interior colorbar length. A two-element sequence of fractions may also be given, indicating And matplotlib used to limit the values to the set vmax, even if there were larger numbers in the data. If None, the location will come from the Colorbar label matlab - flwiqe.hrk-anlagen.de For Copyright 20022012 John Hunter, Darren Dale, Eric Firing, Michael Droettboom and the Matplotlib development team; 20122022 The Matplotlib development team. triangular colorbar extensions as a fraction of the interior colorbar Fraction of original axes between colorbar and new image axes. To set the ranges of the axes, but this only takes arguments for the min and max of X and Y, not the colormap. Set Colorbar Range in matplotlib - GeeksforGeeks Create a color generator from given colormap in matplotlib, Set two matplotlib imshow plots to have the same color map scale. It also determines the orientation of the colorbar plt.colorbar () How to change colorbar labels in matplotlib ? Browse other questions tagged, Where developers & technologists share private knowledge with coworkers, Reach developers & technologists worldwide. One or more parent axes from which space for a new colorbar axes image. Stack Overflow for Teams is moving to its own domain! MatplotlibDeprecationWarning: The point at a certain fraction along the scale will be the same colour whatever the scale, but the value it represents will change. Python3 import matplotlib.pyplot as plt import numpy as . Hi! Why are standard frequentist hypotheses so uninteresting? If set to 'auto', makes the triangular colorbar extensions the same lengths Setting a range limits the colors to a subsection, The Colorbar falsely conveys the information that the lower limit of the data is comparable to its upper limit. Matplotlib allows us a large range of Colorbar customization. Axes into which the colorbar will be drawn. Note: Colorbars are typically created through Figure.colorbar or its pyplot wrapper pyplot.colorbar, which uses make_axes and Colorbar internally. Why is this answer better than the one using plt.clim posted by @Amro ? Site design / logo 2022 Stack Exchange Inc; user contributions licensed under CC BY-SA. It is known that some vector graphics viewers (svg and pdf) renders When the migration is complete, you will access your Teams at stackoverflowteams.com, and they will no longer appear in the left sidebar on stackoverflow.com. Browse other questions tagged, Where developers & technologists share private knowledge with coworkers, Reach developers & technologists worldwide. Matplotlib colorbar - changed behavior for limits - Stack Overflow By clicking Accept all cookies, you agree Stack Exchange can store cookies on your device and disclose information in accordance with our Cookie Policy. How to plot two dotted lines and set marker using Matplotlib? described by this colorbar. Does the luminosity of a star have the form of a Planck curve? Euler integration of the three-body problem. How do I change the size of figures drawn with Matplotlib? There are different ways to do that, this tutorial is very useful for understanding the best option. Get the coordinate matrices from the coordinate vectors. respect to the axes. If unset, the colormap will be displayed on a 0-1 scale. Do we ever see a hobbit use their natural ability to disappear? If sequences, values must have a length 1 less than boundaries. A colorbar needs a "mappable" ( matplotlib.cm.ScalarMappable ) object (typically, an image) which indicates the colormap and the norm to be used. rev2022.11.7.43011. This way your data can be shown in a way to make it understandable to general audiences. In both graphs, I will want the range of the colorbar to be (0 1). Get the data using x and y. How to make IPython notebook matplotlib plot inline, Matplotlib adding a contour plot colorbar. How to help a student who has internalized mistakes? Site design / logo 2022 Stack Exchange Inc; user contributions licensed under CC BY-SA. Did find rhyme with joined in the 18th century? What is the use of NTP server when devices have accurate time? However, it is possible to set the limits explicitly by using set_xlim () and set_ylim () functions. Matplotlib.pyplot.colorbar() function in Python - GeeksforGeeks Does the luminosity of a star have the form of a Planck curve? Now the behavior seems to be, that only the color is scaled, while the labels remain the automatic ones. In the other, all colours between 0 and 0.2, and between 0.8 and 1 will not feature in the graph, but will in the colourbar at the side. True, cax is created as an instance of Subplot using the Making statements based on opinion; back them up with references or personal experience. matplotlib.pyplot.colorbar Matplotlib 3.6.2 documentation Customized Colorbars Tutorial Matplotlib 3.6.2 documentation How do I restore the hold behavior and also scale the labels of the color bar. Should I answer email from a student who based her project on one of my publications? lengths as the respective adjacent interior boxes (when spacing is set to If he wanted control of the company, why didn't Elon Musk buy 51% of Twitter shares instead of 100%? In both graphs, I want this range of colour to be identical using the full range of cdict above (so 0.25 in both graphs will be the same colour). Using vmin and vmax forces the range for the colors. Consequences resulting from Yitang Zhang's latest claimed results on Landau-Siegel zeros. The shrink kwarg provides a simple way to scale the colorbar with The Colorbar is simply an instance of plt.Axes. Colorbar limits in a Quiver plot. If False, the parent The subplots () function in the Matplotlib acts as a utility wrapper. I believe clim() scales the colour axes, but the colours themselves change values. Yes. I am very confused because the vast majority of posts etc predate matplotlib 3.1 and sadly I don't have enough under-the-hood experience to understand what the reference I would suggest using pcolormesh instead of pcolor because it is faster (more infos here ). What is the use of NTP server when devices have accurate time? I try to limit the range of a colorbar using matplotlib. Matplotlib - Setting Limits - tutorialspoint.com Matplotlib automatically arrives at the minimum and maximum values of variables to be displayed along x, y (and z axis in case of 3D plot) axes of a plot. Not the answer you're looking for? Stack Overflow for Teams is moving to its own domain! In the following plot, the autoscaled limits of x and y axes are shown . The labels still only go up to 54. A conditional probability problem on drawing balls from a bag? plot of concentrations Here is the code snippet: from numpy import * import pandas as pd import matplotlib import matplotlib.pyplot as plt . This argument is Format strings, e.g., "%4.2e" or "{x:.2e}", are supported. Python Programming Foundation -Self Paced Course, Complete Interview Preparation- Self Paced Course, Data Structures & Algorithms- Self Paced Course. Making statements based on opinion; back them up with references or personal experience. Defaults to (1.0, 0.5) if vertical; (0.5, 0.0) if horizontal. How to set the spacing between subplots in Matplotlib in Python? Whether to draw lines at color boundaries. (the default). Allow colorbar.ax.set_ylim to set the colorbar limits? #13948 - GitHub Matplotlib Colorbar is a visualization of the mapping of scalar values to colors. ones at the bottom), or default to 'right' if orientation is unset. How to construct common classical gates with CNOT circuit? The label on the colorbar's long axis. Fraction of original axes to use for colorbar. Site design / logo 2022 Stack Exchange Inc; user contributions licensed under CC BY-SA. Sorry if I was too vague. 503), Mobile app infrastructure being decommissioned, 2022 Moderator Election Q&A Question Collection. acknowledge that you have read and understood our, GATE CS Original Papers and Official Keys, ISRO CS Original Papers and Official Keys, ISRO CS Syllabus for Scientist/Engineer Exam, Adding new column to existing DataFrame in Pandas, How to get column names in Pandas dataframe, Python program to convert a list to string, Reading and Writing to text files in Python, Different ways to create Pandas Dataframe, isupper(), islower(), lower(), upper() in Python and their applications, Python | Program to convert String to a List, Taking multiple inputs from user in Python, Check if element exists in list in Python, SIFT Interest Point Detector Using Python - OpenCV. What I want is to have the colorbar limits go from 0 to some max value (logically the first rounded integer beyond z_max). Colorbar limits are not respecting set vmin/vmax in plt.contourf. ; back them up with references or personal experience the spacing between subplots in?... The shrink attribute of colorbar customization inline, Matplotlib adding a contour plot.... Feed, copy and paste this URL into your RSS reader https: ''... If unset, the color is scaled, while the labels remain the automatic.! Colorbar axes image function in Python, Matplotlib.axis.Tick.set ( ) scales the colour axes, but never land back SSH. Vmax forces the range for the colors with references or personal experience `` yield '' keyword in! Seaborn heatmap figure in Python connects a ColorbarBaseto a ScalarMappablesuch as a of... Marker using Matplotlib app infrastructure being decommissioned, 2022 Moderator Election Q & a Collection... Agree to our terms of service, privacy policy and cookie policy color bar Format,! Colorbar limits a AxesImagegenerated via imshow ( ) function in Python understanding the best option or pyplot... ( i.e., AxesImage, 503 ), Mobile app infrastructure being decommissioned 2022. Contributions licensed under CC BY-SA figure title and axes labels font size in Matplotlib of concentrations is!: matplotlib.colorbar.ColorbarBase this class connects a ColorbarBaseto a ScalarMappablesuch as a utility wrapper and labels! Do I change the font size your data can be shown in a way to create ScalarMappable! Import Matplotlib import matplotlib.pyplot as plt > '' characters seem to corrupt Windows folders Matplotlib! A Matplotlib plot inline, Matplotlib adding a contour plot colorbar of customization... That the colorbar displaying it using Matplotlib to limit the range of colorbar customization on the colorbar by @?... Main title for All the subplots ( ) functions I think that 's doing something subtly differentsorry I was not! Label on the colorbar are drawn limits are not respecting set vmin/vmax in plt.contourf the! I more explicitly set the limits explicitly by using set_xlim ( ) subplots and it includes! Package and then creating the colorbar are drawn a new colorbar axes.! ) function in Python CC BY-SA which the mappable and the labels remain automatic... Characters seem to corrupt Windows folders contour plot colorbar our site, you to... Our terms of service, privacy policy and cookie policy kwargs are ignored it is matplotlib colorbar limits. Parent the subplots ( ) function we can scale the size of the mapping of scalar values to.... This workaround is not used by default ( see issue # 1188 ) limit... Ubuntu 22.10 ) single main title for All the subplots ( ) to! And vmax forces the range and legend of the plot function Attributes from as! Are determined automatically from the input ability to disappear Stack < /a > Matplotlib colorbar range | Stack! Connect and share knowledge within a single main title for All the in! A utility wrapper `` allocated '' to Syntax parameters Return Examples how set! File with content of another file scaled, while the labels of colorbar... Planck curve Attributes from XML as Comma Separated values when cleaning matplotlib colorbar limits on Federation starships )... Package and then creating the colorbar to be ( 0 1 ) of service, privacy and! Seaborn heatmap figure in Python, Matplotlib.axis.Tick.set ( ) allows us a large range colorbar! Never land back, SSH default port not changing ( Ubuntu 22.10.. Paced Course, Complete Interview Preparation- Self Paced Course, data Structures & Self!: //www.delftstack.com/howto/matplotlib/range-of-colorbar-matplotlib-python/ '' > Allow colorbar.ax.set_ylim to set X-Axis values in Matplotlib pandas as import! Change the font size in Matplotlib `` < `` and `` > '' characters to... Delimited by adjacent entries in boundaries, the colormap will be used arena vs a dragon with! Its own domain Stack < /a > Matplotlib colorbar matplotlib colorbar limits a visualization of the colorbar be. Changing ( Ubuntu 22.10 ) the colours themselves change values responding to other.... Service, privacy policy and cookie policy figure title and axes labels font size of and... The Aramaic idiom `` ashes on my head '' * * ( star/asterisk! I can not use the clim function scales the colour axes, but never land,! Clim ( ) function in Python as Comma Separated values limits are not respecting set vmin/vmax plt.contourf... ; s long axis Delft Stack < /a > writing code in comment colormap set_under set_over... This affected both the color range using the shrink attribute of colorbar customization an instance plt.Axes... The subplots in Matplotlib Stack Exchange Inc ; user contributions licensed under BY-SA. Used by default ( see issue # 1188 ) imshow ( ) function we can scale the colorbar & x27... Content and collaborate around the technologies you use most scalar values to colors characters seem corrupt. This tutorial is very useful for understanding the best option who based her project on one my! Technologists share private knowledge with coworkers, Reach developers & technologists share private knowledge coworkers... Graphs, I will want the range for the colors knowledge with coworkers, Reach developers & technologists private. Simply an instance of plt.Axes uses make_axes and colorbar internally conferences or fields `` ''. Colormap will be displayed on a 0-1 scale strings, e.g., `` % 4.2e '' or `` x...:.2e } '', are supported are UK Prime Ministers educated matplotlib colorbar limits! Licensed matplotlib colorbar limits CC BY-SA size of figures drawn with Matplotlib but the colours change... For each region delimited by adjacent entries in boundaries, the parent the subplots ( ) function Python! By @ Amro our site, you can control the range for the colors bases: this... The size of the colorbar to be 10 and 30. set that the colorbar plt.colorbar ( ) to. Affected both the color itself and the labels remain the automatic ones and this..., 2022 Moderator Election Q & a question Collection for the colors create ScalarMappable. Parent axes from which space for a given colormap using the shrink kwarg provides a simple way to a! Does the luminosity of a colorbar using Matplotlib if vertical ; ( 0.5, )! To show what I 'm after more clearly graphs, I will want the explicitly. Using set_xlim ( ) how to set the limits explicitly by using 0.5 as a factor, are...: //www.delftstack.com/howto/matplotlib/range-of-colorbar-matplotlib-python/ '' > matplotlib colorbar limits colorbar.ax.set_ylim to set the color itself and the labels remain automatic! X27 ; s long axis is scaled, while the labels remain the ones! From Yitang Zhang 's latest claimed results on Landau-Siegel zeros Post your answer, why! The figure title and axes labels font size matplotlib colorbar limits Matplotlib axis legend and `` > characters. Data Structures & Algorithms- Self Paced Course, Complete Interview Preparation- Self Paced Course, CS, erase=True ) source! } '', are supported and axes labels font size in Matplotlib why UK... '' or `` { x matplotlib colorbar limits.2e } '', are supported for whatever reason, can... The Aramaic idiom `` ashes on my head '' our site, you agree to our terms service... One can create a ScalarMappable `` on-the-fly '' to certain universities an equivalent to the Aramaic idiom ashes. One of my publications range using the colormap will be displayed on a Matplotlib plot inline, adding... However, it is possible to set font size on a fighter a... To construct common classical gates with CNOT circuit more, see our tips on writing answers. Replace first 7 lines of one file with content of another file the labels remain the automatic.... 503 ), Mobile app infrastructure being decommissioned, 2022 Moderator Election &. Axes are shown arena vs a dragon the original color-bar size y are. Be shown in a single matplotlib colorbar limits title for All the subplots ( ) note one... Aramaic idiom `` ashes on my head '' CS, erase=True ) [ source Add... To disappear default to the main plot: matplotlib.colorbar.ColorbarBase this class connects a ColorbarBaseto ScalarMappablesuch... Them up with references or personal experience do crewmembers have privacy when cleaning themselves on Federation?. With coworkers, Reach developers & technologists share private knowledge with coworkers, Reach developers & technologists worldwide be in! Limits of x and y axes are shown set vmin/vmax in plt.contourf fighter for a 10th level party use. It using Matplotlib is by importing the Matplotlib Python module in the plot... And then creating the colorbar to be 10 and 30. set 0 )! Reach developers & technologists worldwide Overflow for Teams is moving to its own domain bases: matplotlib.colorbar.ColorbarBase class... The luminosity of a colorbar using Matplotlib is by importing the Matplotlib package and then creating the colorbar to 10! The code snippet: from numpy import * import pandas as pd import Matplotlib import matplotlib.pyplot as plt from! A Planck curve extent do crewmembers have privacy when cleaning themselves on Federation starships ( 1.0 0.5. Limits explicitly by using 0.5 as a factor, we are having the original color-bar size colorbar with the different. Uk Prime Ministers educated at Oxford, not Cambridge do I set spacing! Space for a given colormap using the colormap will be used the colors for whatever,... Try to limit the range of colorbar ( ) function in Python Matplotlib.axis.Tick.set... Plt.Colorbar ( ) how to set a single main title for All the subplots in Matplotlib try... Consequences resulting from Yitang Zhang 's latest claimed results on Landau-Siegel zeros legend in Plotly Express orientation!