matplotlib-users Mailing List for matplotlib

So when I add "np.logical_or" to the beginning of the script it makes no
difference to the error message that I receive.

I have tried reshaping the array but I receive an error message of:
Traceback (most recent call last):
  File "<pyshell#0>", line 1, in <module>
    f.reshape(691,886)
ValueError: total size of new array must be unchanged

Is there a way to use np.genfromtxt and define the rows and columns on
import?

Thanks

On Fri, Mar 16, 2012 at 7:10 AM, Goyo <goy...@gm...> wrote:

> El día 15 de marzo de 2012 05:14, questions anon
> <que...@gm...> escribió:
> > I think my error is from the np.genfromtxt because I just checked the
> size
> > of my data and it appears in 1D rather than 2D.
>
> This is unsurprising since your file has just one row of data. I
> overlooked that because the weird error message drove all my attention
> to it. You can reshape the resulting array to (691, 886). Still that
> error message should not be there in any case.
>
> >> I don't really understand what np.logical_or is or how to use it?
> >> I have tried just calling it at the beginning of the script
>
> np.logical_or computes the logical out of two boolean arrays. It's
> called internally by countourf and that's triggering the exception:
>
> AttributeError: logical_or
>
> Which makes no sense at all because:
> 1. np is expected to be an alias for numpy and numpy *does* have an
> attribute called logical_or.
> 2. In case np didn't have an attribute called logical_or (for whatever
> reason) it would cause an exception but the error message should be
> something like "AttributeError: 'module' object has no attribute
> 'logical_or'".
>
> You where asked to call np.logical_or at the beginning of the script
> in order to know if it triggers the exception in that context.
>
> >> [...] but I still end up with the same error.
>
> So the call at the beginning didn't trigger the error?
>
> Regards
>
> Goyo
>

Hello,

I have been trying to figure out where my problem lies all day.

Details:
Mac Os X 10.6.8

Python/matplotlib : 1.1.0 /Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/matplotlib/__init__.pyc

Matplotlib obtained from sourceforge.

Running with ipython

Error Message:
Exception in Tkinter callback
Traceback (most recent call last):
  File "/Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/lib-tk/Tkinter.py", line 1410, in __call__
    return self.func(*args)
  File "/Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/matplotlib/backends/backend_tkagg.py", line 236, in resize
    self.show()
  File "/Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/matplotlib/backends/backend_tkagg.py", line 240, in draw
    tkagg.blit(self._tkphoto, self.renderer._renderer, colormode=2)
  File "/Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/matplotlib/backends/tkagg.py", line 19, in blit
    tk.call("PyAggImagePhoto", photoimage, id(aggimage), colormode, id(bbox_array))
TclError

Any ideas?

cheers,
Andrew

On Mon, Mar 19, 2012 at 1:36 PM, Moore, Eric (NIH/NIDDK) [F] <
eri...@ni...> wrote:

> From: Benjamin Root [mailto:ben...@ou...]
> Sent: Monday, March 19, 2012 2:00 PM
> To: Joshua Lande
> Cc: mat...@li...
> Subject: Re: [Matplotlib-users] Strange compression of matplotlib's eps
> figures
>
> ...
>
> Using Firefox, I see no difference between the two images.  What are you
> using?
>
> Ben Root
>
>
> All of the rows and columns are not the same width in the two images.  Not
> limited to saving as eps.  Also true if you change the example to png and
> then zoom in.  Since imshow more than likely always saves as a raster, I'll
> bet the real problem is the number of pixels doesn't divide evenly into the
> size of z in Joshua's example.
>
> Eric
>
>
Ah, I see.  Yeah, that's not a bug, but a simple limitation of integer
math.  We have introduced a new option for interpolation in v1.1.0 that
might help.  Pass in the string "none" (not that python keyword) to the
interpolation kwarg in imshow and maybe your results will look better.

Ben Root

From: Benjamin Root [mailto:ben...@ou...] 
Sent: Monday, March 19, 2012 2:00 PM
To: Joshua Lande
Cc: mat...@li...
Subject: Re: [Matplotlib-users] Strange compression of matplotlib's eps figures

...

Using Firefox, I see no difference between the two images.  What are you using?

Ben Root


All of the rows and columns are not the same width in the two images.  Not limited to saving as eps.  Also true if you change the example to png and then zoom in.  Since imshow more than likely always saves as a raster, I'll bet the real problem is the number of pixels doesn't divide evenly into the size of z in Joshua's example. 

Eric

Hi. I have attached a screenshot of the way the image looks when
viewed by Preview on my mac, evince on my RHEL5 machine, and the built
in google docs image viewer.

The image should look like 22x22 square pixels, but (at least for me)
has stripes of strange looking rectangular pixels. The preview
screenshot shows both the good and bad version of the image.

I hope this makes sense.

Joshua

On Mon, Mar 19, 2012 at 10:59 AM, Benjamin Root <ben...@ou...> wrote:
> On Sun, Mar 18, 2012 at 5:07 PM, Joshua Lande <jos...@gm...> wrote:
>>
>> Hello.
>>
>> I have run into a strange error where matplotlib compresses images
>> that are saved with the eps backend. Strangely, this compression seems
>> to happen only for images saved with certain figure sizes. I created a
>> very simple example which produces this behavior.
>>
>>    import pylab as P
>>    import numpy as np
>>    np.random.seed(0)
>>    z=np.random.uniform(size=(22,22))
>>
>>    for figsize in [.5,.55]:
>>        F = P.figure(None,(figsize,figsize))
>>        ax = F.add_subplot(111)
>>        im = ax.imshow(z, origin="lower", interpolation="nearest")
>>        ax.xaxis.set_ticks([])
>>        ax.yaxis.set_ticks([])
>>
>>        P.savefig('test_%.2f.eps' % figsize)
>>
>> This code produces test_0.50.eps (attached) which shows ugly
>> compression whereas test_0.55.eps (also attached) is uncompressed.
>>
>> Is there an easy way to disable this compression?
>>
>> For reference, I am using python version 2.7.2, matplotlib version
>> 1.1.0, and for clarity I do not have a matplotlibrc file.
>>
>> Thanks for your help,
>>
>> Joshua
>>
>
> Using Firefox, I see no difference between the two images.  What are you
> using?
>
> Ben Root
>

On Sun, Mar 18, 2012 at 5:07 PM, Joshua Lande <jos...@gm...> wrote:

> Hello.
>
> I have run into a strange error where matplotlib compresses images
> that are saved with the eps backend. Strangely, this compression seems
> to happen only for images saved with certain figure sizes. I created a
> very simple example which produces this behavior.
>
>    import pylab as P
>    import numpy as np
>    np.random.seed(0)
>    z=np.random.uniform(size=(22,22))
>
>    for figsize in [.5,.55]:
>        F = P.figure(None,(figsize,figsize))
>        ax = F.add_subplot(111)
>        im = ax.imshow(z, origin="lower", interpolation="nearest")
>        ax.xaxis.set_ticks([])
>        ax.yaxis.set_ticks([])
>
>        P.savefig('test_%.2f.eps' % figsize)
>
> This code produces test_0.50.eps (attached) which shows ugly
> compression whereas test_0.55.eps (also attached) is uncompressed.
>
> Is there an easy way to disable this compression?
>
> For reference, I am using python version 2.7.2, matplotlib version
> 1.1.0, and for clarity I do not have a matplotlibrc file.
>
> Thanks for your help,
>
> Joshua
>
>
Using Firefox, I see no difference between the two images.  What are you
using?

Ben Root

Awesome John!! Thank you very much for your help on this...

Guido

From: John Hunter [mailto:jd...@gm...]
Sent: Monday, March 19, 2012 12:52 PM
To: Espinosa, Guido R
Cc: mat...@li...
Subject: Re: [Matplotlib-users] Too Many Requests error - matplotlib gallery


On Mon, Mar 19, 2012 at 12:46 PM, John Hunter <jd...@gm...<mailto:jd...@gm...>> wrote:

Thanks, this has been going on for several days now and I just filed a ticket with sourceforge.


  https://sourceforge.net/apps/trac/sourceforge/ticket/24897


In the meantime, a slightly out of date version of the website is available here:

 http://matplotlib.github.com/index.html


JDH

What are you using to view the SVG?  This works for me in Inkscape, 
Firefox and Google Chrome, but fails using rsvg 2.34 (which is used by 
ImageMagick and emacs, for example).  It seems that rsvg doesn't like 
the clip path to appear after the object that uses it, even though this 
is allowed by the SVG spec.  SVG compliance is pretty spotty between 
different renderers, but I generally think rsvg is one of the worst.

Mike

On 03/19/2012 12:46 PM, Sebastian Ohl wrote:
> Hi,
>
> when i have a dataset that covers an area  larger than the area i want
> to show in my plot, then it should be clipped to the ranges i set to the
> axes (at least that is what i am expecting). when i do so and save the
> plot to a png-file everything is fine. but if i save it to an svg file,
> the plot is not clipped to the plot area. did i do something wrong in
> the code below or is it just a bug in the svg-backend?
>
> import matplotlib.pyplot as plt
>
> xData = range(0,100)
> yData = range(0,100)
>
> ax = plt.axes()
> ax.set_xlim(30,70)
> ax.set_ylim(40,60)
>
> plt.plot(xData,yData)
> plt.savefig("test.svg", format='svg', transparent=True)
> plt.savefig("test.png", format='png', transparent=True)
>
>
>
>
> ------------------------------------------------------------------------------
> This SF email is sponsosred by:
> Try Windows Azure free for 90 days Click Here
> http://p.sf.net/sfu/sfd2d-msazure
>
>
> _______________________________________________
> Matplotlib-users mailing list
> Mat...@li...
> https://lists.sourceforge.net/lists/listinfo/matplotlib-users

Mario, 

When you call fig.add_subplot as you are doing, ax1 is None.  I'm not sure why, but you don't need to set the xticks there anyway. Change your call to be ax1 = fig.add_subplot(111) that way ax1 != None.  Then plot, create ax2, plot.  You can then set the xticks by calling ax1.set_xticks([10,40,90]) or equivalently ax2.set_xticks([10,40,90]). 

Eric

> -----Original Message-----
> From: Mario Konschake [mailto:mar...@gm...]
> Sent: Monday, March 19, 2012 1:11 PM
> To: matplotlib-users
> Subject: [Matplotlib-users] xticks when using twinx()
> 
> Hello,
> 
> I to set custom xticks is usually used
> 
> fig = plt.figure()
> ax1 = fig.add_subplot(xticks=[10,40,90])
> plt.plot(range(100))
> 
> I now need to have a second y-axis and tried
> 
> fig = plt.figure()
> 
> ax1 = fig.add_subplot(xticks=[10,40,90])
> plt.plot(range(100))
> 
> ax2 = plt.twinx()
> plt.plot([x*x for x in range(100)])
> 
> which works fine, but i use the ability to manipulate the xticks.
> 
> Any help is highly appriciated.
> 
> Thank you, Mario.
> 
> -----------------------------------------------------------------------
> -------
> This SF email is sponsosred by:
> Try Windows Azure free for 90 days Click Here
> http://p.sf.net/sfu/sfd2d-msazure
> _______________________________________________
> Matplotlib-users mailing list
> Mat...@li...
> https://lists.sourceforge.net/lists/listinfo/matplotlib-users

On Mon, Mar 19, 2012 at 12:46 PM, John Hunter <jd...@gm...> wrote:

>
> Thanks, this has been going on for several days now and I just filed a
> ticket with sourceforge.
>
>
>   https://sourceforge.net/apps/trac/sourceforge/ticket/24897
>


In the meantime, a slightly out of date version of the website is available
here:

 http://matplotlib.github.com/index.html


JDH

On Mon, Mar 19, 2012 at 11:46 AM, <gu...@th...> wrote:

>  Hi Guys,****
>
> ** **
>
> Accessing the Matplotlib gallery is killing access to the sourceforce
> matplotlib site giving the “Too many requests” error. Anytime you access
> the gallery, and attempt to view source of any thumbnail, the site gives
> the error. Then, the entire website becomes unusable, for example, if you
> then try to access the docs page, it will give the same error. I’ve noticed
> this error only in the past few weeks. ****
>
> ** **
>
> The gallery URL is this: http://matplotlib.sourceforge.net/gallery.html***
> *
>
> **
>


Thanks, this has been going on for several days now and I just filed a
ticket with sourceforge.


  https://sourceforge.net/apps/trac/sourceforge/ticket/24897

JDH

Hi Guys,

Accessing the Matplotlib gallery is killing access to the sourceforce matplotlib site giving the "Too many requests" error. Anytime you access the gallery, and attempt to view source of any thumbnail, the site gives the error. Then, the entire website becomes unusable, for example, if you then try to access the docs page, it will give the same error. I've noticed this error only in the past few weeks.

The gallery URL is this: http://matplotlib.sourceforge.net/gallery.html

After visiting the above URL, the entire matplotlib website is down, even home:

http://matplotlib.sourceforge.net/index.html

Thanks for looking into this!
Guido

Hello,

I to set custom xticks is usually used

fig = plt.figure()
ax1 = fig.add_subplot(xticks=[10,40,90])
plt.plot(range(100))

I now need to have a second y-axis and tried

fig = plt.figure()

ax1 = fig.add_subplot(xticks=[10,40,90])
plt.plot(range(100))

ax2 = plt.twinx()
plt.plot([x*x for x in range(100)])

which works fine, but i use the ability to manipulate the xticks.

Any help is highly appriciated.

Thank you, Mario.

Hi,

when i have a dataset that covers an area  larger than the area i want
to show in my plot, then it should be clipped to the ranges i set to the
axes (at least that is what i am expecting). when i do so and save the
plot to a png-file everything is fine. but if i save it to an svg file,
the plot is not clipped to the plot area. did i do something wrong in
the code below or is it just a bug in the svg-backend?

import matplotlib.pyplot as plt

xData = range(0,100)
yData = range(0,100)

ax = plt.axes()
ax.set_xlim(30,70)
ax.set_ylim(40,60)

plt.plot(xData,yData)
plt.savefig("test.svg", format='svg', transparent=True)
plt.savefig("test.png", format='png', transparent=True)


-- 
Regards
 Sebastian Ohl

 --
 Sebastian Ohl              seb...@oh...
 Kurzekampstr. 14           Tel +49 531 7998221
 D-38104 Braunschweig       Mobil +49 172 1837678

Or, more likely, PEBCAK, but here goes:

Following along with this example:
http://matplotlib.sourceforge.net/examples/api/font_family_rc.html

I tried the following (changing to comic sans so that "success" would be clear):

from matplotlib import rcParams
rcParams['font.family'] = 'sans-serif'
rcParams['font.sans-serif'] = ['Comic Sans MS']
import matplotlib.pyplot as plt
fig = plt.figure()
ax = fig.add_subplot(111)
ax.plot([1,2,3], label='test')
ax.legend()
plt.show()

However, the above does not result in "Comic Sans" on the plot... (Thank god, but still, that doesn't seem correct wrt the stated behavior from the example.)

The below, however, does get comic sans:

from matplotlib import rcParams
rcParams['font.family'] = 'Comic Sans MS'
import matplotlib.pyplot as plt
fig = plt.figure()
ax = fig.add_subplot(111)
ax.plot([1,2,3], label='test')
ax.legend()
plt.show()

Is this a known issue / feature / mis-comprehension on my part? Otherwise I'll try digging through the code to find the problem.

Thanks,
Zach

Hello,

I to set custom xticks is usually used

fig = plt.figure()
ax1 = fig.add_subplot(xticks=[10,40,90])
plt.plot(range(100))

I now need to have a second y-axis and tried

fig = plt.figure()

ax1 = fig.add_subplot(xticks=[10,40,90])
plt.plot(range(100))

ax2 = plt.twinx()
plt.plot([x*x for x in range(100)])

which works fine, but i use the ability to manipulate the xticks.

Any help is highly appriciated.

Thank you, Mario.

Hello, below I've included my script for plotting some data, and a small 
amount of the data itself.

I plot the data to several different file types via pyplot.savefig(). 
For each of eps, pdf, and png, it works fine. With svg it throws this 
error, any ideas why?:

harb@joan:~/Documents/DATA/ApplicationData/python-script$ 
./T-plots-modelvdata.py
Traceback (most recent call last):
   File "./T-plots-modelvdata.py", line 58, in <module>
     plt.savefig(directory + 'data-and-models.svg')
   File 
"/usr/local/lib/python2.6/dist-packages/matplotlib-1.0.1-py2.6-linux-x86_64.egg/matplotlib/pyplot.py", 
line 363, in savefig
     return fig.savefig(*args, **kwargs)
   File 
"/usr/local/lib/python2.6/dist-packages/matplotlib-1.0.1-py2.6-linux-x86_64.egg/matplotlib/figure.py", 
line 1084, in savefig
     self.canvas.print_figure(*args, **kwargs)
   File 
"/usr/local/lib/python2.6/dist-packages/matplotlib-1.0.1-py2.6-linux-x86_64.egg/matplotlib/backends/backend_wxagg.py", 
line 100, in print_figure
     FigureCanvasAgg.print_figure(self, filename, *args, **kwargs)
   File 
"/usr/local/lib/python2.6/dist-packages/matplotlib-1.0.1-py2.6-linux-x86_64.egg/matplotlib/backend_bases.py", 
line 1923, in print_figure
     **kwargs)
   File 
"/usr/local/lib/python2.6/dist-packages/matplotlib-1.0.1-py2.6-linux-x86_64.egg/matplotlib/backend_bases.py", 
line 1754, in print_svg
     return svg.print_svg(*args, **kwargs)
   File 
"/usr/local/lib/python2.6/dist-packages/matplotlib-1.0.1-py2.6-linux-x86_64.egg/matplotlib/backends/backend_svg.py", 
line 867, in print_svg
     return self._print_svg(filename, svgwriter, fh_to_close, **kwargs)
   File 
"/usr/local/lib/python2.6/dist-packages/matplotlib-1.0.1-py2.6-linux-x86_64.egg/matplotlib/backends/backend_svg.py", 
line 902, in _print_svg
     self.figure.draw(renderer)
   File 
"/usr/local/lib/python2.6/dist-packages/matplotlib-1.0.1-py2.6-linux-x86_64.egg/matplotlib/artist.py", 
line 55, in draw_wrapper
     draw(artist, renderer, *args, **kwargs)
   File 
"/usr/local/lib/python2.6/dist-packages/matplotlib-1.0.1-py2.6-linux-x86_64.egg/matplotlib/figure.py", 
line 798, in draw
     func(*args)
   File 
"/usr/local/lib/python2.6/dist-packages/matplotlib-1.0.1-py2.6-linux-x86_64.egg/matplotlib/artist.py", 
line 55, in draw_wrapper
     draw(artist, renderer, *args, **kwargs)
   File 
"/usr/local/lib/python2.6/dist-packages/matplotlib-1.0.1-py2.6-linux-x86_64.egg/matplotlib/axes.py", 
line 1946, in draw
     a.draw(renderer)
   File 
"/usr/local/lib/python2.6/dist-packages/matplotlib-1.0.1-py2.6-linux-x86_64.egg/matplotlib/artist.py", 
line 55, in draw_wrapper
     draw(artist, renderer, *args, **kwargs)
   File 
"/usr/local/lib/python2.6/dist-packages/matplotlib-1.0.1-py2.6-linux-x86_64.egg/matplotlib/legend.py", 
line 430, in draw
     self._legend_box.draw(renderer)
   File 
"/usr/local/lib/python2.6/dist-packages/matplotlib-1.0.1-py2.6-linux-x86_64.egg/matplotlib/offsetbox.py", 
line 240, in draw
     c.draw(renderer)
   File 
"/usr/local/lib/python2.6/dist-packages/matplotlib-1.0.1-py2.6-linux-x86_64.egg/matplotlib/offsetbox.py", 
line 240, in draw
     c.draw(renderer)
   File 
"/usr/local/lib/python2.6/dist-packages/matplotlib-1.0.1-py2.6-linux-x86_64.egg/matplotlib/offsetbox.py", 
line 240, in draw
     c.draw(renderer)
   File 
"/usr/local/lib/python2.6/dist-packages/matplotlib-1.0.1-py2.6-linux-x86_64.egg/matplotlib/offsetbox.py", 
line 240, in draw
     c.draw(renderer)
   File 
"/usr/local/lib/python2.6/dist-packages/matplotlib-1.0.1-py2.6-linux-x86_64.egg/matplotlib/offsetbox.py", 
line 678, in draw
     self._text.draw(renderer)
   File 
"/usr/local/lib/python2.6/dist-packages/matplotlib-1.0.1-py2.6-linux-x86_64.egg/matplotlib/artist.py", 
line 55, in draw_wrapper
     draw(artist, renderer, *args, **kwargs)
   File 
"/usr/local/lib/python2.6/dist-packages/matplotlib-1.0.1-py2.6-linux-x86_64.egg/matplotlib/text.py", 
line 571, in draw
     self._fontproperties, angle)
   File 
"/usr/local/lib/python2.6/dist-packages/matplotlib-1.0.1-py2.6-linux-x86_64.egg/matplotlib/backends/backend_svg.py", 
line 587, in draw_tex
     self.draw_text_as_path(gc, x, y, s, prop, angle, ismath="TeX")
   File 
"/usr/local/lib/python2.6/dist-packages/matplotlib-1.0.1-py2.6-linux-x86_64.egg/matplotlib/backends/backend_svg.py", 
line 541, in draw_text_as_path
     path = Path(*glyph_path)
   File 
"/usr/local/lib/python2.6/dist-packages/matplotlib-1.0.1-py2.6-linux-x86_64.egg/matplotlib/path.py", 
line 121, in __init__
     assert vertices.ndim == 2
AssertionError


SCRIPT (yes there are some ugly bits):
import numpy as np
import matplotlib.pyplot as plt
from matplotlib import rc


# Set matplotlib to use LaTeX text handling:
rc('text', usetex=True)
rc('font', family='serif')

# Data file format: depth, temperature, depth, temperature, ...
directory = '~/bores/'
filename = directory + 'data-and-models.txt'
tdata = np.genfromtxt(filename,
                       skip_header=2, delimiter='\t', comments='#',
                       missing_values='', filling_values=np.nan)

# Get bore names and IDs:
with open(filename,'rU') as f:
     bores = f.readline().rstrip().split('\t')
     headers = f.readline().rstrip().split('\t')

for column in range(0, np.shape(tdata)[1], 2):
     # Plots temperature on x, depth on y:
     if bores[column+1] in ('T (q=70)', 'data'):
         plt.plot(
             tdata[:, column + 1],
             tdata[:, column],
             label=bores[column] + ' ' + bores[column + 1])

# titivate plot:
plt.title("Borehole data and model comparison")
plt.xlim(10,80)
plt.ylim(-1500,0)
plt.grid(True)
plt.xlabel(r'Temperature (\textcelsius)')
plt.ylabel(r'Depth ($mGL$)')
plt.legend()
plt.savefig(directory + 'data-and-models.pdf')
plt.savefig(directory + 'data-and-models.eps')
plt.savefig(directory + 'data-and-models.png')
#plt.savefig(directory + 'data-and-models.svg')


DATA SAMPLE (it's tab separated, hope they don't get converted to spaces):
DST fluid recovery	data	Precision log	data	Stratigraphy model	T (q=65) 
Stratigraphy model	T (q=70)	Stratigraphy model	T (q=75)	Lithology 
model	T (q=65)	Lithology model	T (q=70)	Lithology model	T (q=75)
Depth	Temperature	Depth	Temperature	Depth	Temperature	Depth 
Temperature	Depth	Temperature	Depth	Temperature	Depth	Temperature	Depth 
Temperature
-444.53	39.72	0	12.46	0	15	0	15	0	15	0.0	15	0.0	15	0.0	15
-876.53	55.81	-1.02	12.35	-19.75	15.6428849105	-19.75	15.6923375959 
-19.75	15.7417902813	-16.3	15.541943734	-16.3	15.5836317136	-16.3 
15.6253196931
-1395.35	77.08	-2.04	12.32	-126.75	22.4731381074	-126.75 
23.0479948849	-126.75	23.6228516624	-19.8	15.6428849105	-19.8 
15.6923375959	-19.8	15.7417902813
		-3.06	12.31	-144.3	22.8533881074	-144.3	23.4574948849	-144.3 
24.0616016624	-42.3	18.5743849105	-42.3	18.8493375959	-42.3	19.1242902813
		-4.08	12.34	-1439.3	67.1560196864	-1439.3	71.1680212007	-1439.3 
75.180022715	-46.3	18.727326087	-46.3	19.0140434783	-46.3	19.3007608696
		-5.1	12.34							-61.3	19.1512391304	-61.3	19.4705652174	-61.3 
19.7898913043
		-6.12	12.6							-69.3	19.4571214834	-69.3	19.7999769821	-69.3 
20.1428324808
		-7.13	12.88							-72.3	19.8471214834	-72.3	20.2199769821	-72.3 
20.5928324808
		-8.15	13.05							-77.3	20.038297954	-77.3	20.425859335	-77.3 
20.8134207161
		-9.17	13.2							-87.3	21.338297954	-87.3	21.825859335	-87.3	22.3134207161
		-10.19	13.35							-89.3	21.4147685422	-89.3	21.9082122762	-89.3 
22.4016560102
		-11.21	13.47							-126.8	22.4731381074	-126.8	23.0479948849	-126.8 
23.6228516624
		-12.23	13.61							-144.8	22.8533881074	-144.8	23.4574948849	-144.8 
24.0616016624
		-13.25	13.95							-216.3	25.3011512653	-216.3	26.0935475165	-216.3 
26.8859437677
		-14.27	14.2							-380.3	30.9116775811	-380.3	32.1356527796	-380.3 
33.3596279782
		-15.29	14.62							-392.3	31.3222038969	-392.3	32.5777580428	-392.3 
33.8333121887
		-16.31	14.81							-419.9	32.2664144232	-419.9	33.5946001481	-419.9 
34.9227858729
		-17.33	14.94							-436.3	32.8274670548	-436.3	34.1988106744	-436.3 
35.570154294
		-18.35	16.01							-452.9	33.3960460022	-452.9	34.8111264639	-452.9 
36.2262069256
		-19.36	16.61							-453.3	33.4090460022	-453.3	34.8251264639	-453.3 
36.2412069256
		-20.38	16.95							-509.3	35.3248354758	-509.3	36.8882843586	-509.3 
38.4517332414
		-21.4	17.24							-636.3	39.6695723179	-636.3	41.567231727	-636.3 
43.4648911361
		-22.42	17.49							-746.3	43.4327302127	-746.3	45.619863306	-746.3 
47.8069963992
		-23.44	17.66							-770.3	44.2537828443	-770.3	46.5040738323	-770.3 
48.7543648203
		-24.46	17.85							-886.3	48.2222038969	-886.3	50.7777580428	-886.3 
53.3333121887
		-25.48	18.01							-958.3	50.6853617916	-958.3	53.4303896218	-958.3 
56.1754174519
		-26.5	18.17							-1160.3	57.5958881074	-1160.3	60.8724948849	-1160.3 
64.1491016624
		-27.52	18.31							-1324.3	63.2064144232	-1324.3	66.9146001481 
-1324.3	70.6227858729
		-28.54	18.52							-1379.3	65.0879933706	-1379.3	68.9409159375 
-1379.3	72.7938385045
		-29.56	18.65							-1412.3	66.216940739	-1412.3	70.1567054112	-1412.3 
74.0964700835
		-30.58	18.81							-1427.3	66.7300986337	-1427.3	70.7093369902 
-1427.3	74.6885753466