Animation of Vin's horseshoe journey.

[DrPhysics he/him]

I made these animations a while ago and posted them to reddit, but I felt like they had a place here (and I don't like where reddit is headed, so copying them over will preserve them). If there is a better place to put them outside of this discussion board, let me know.

 

These are physically accurate models of what it would look like when Vin pushes/pulls on those five horseshoes on her last minute run to Luthadel.

Vin in the animation is 5 feet tall.

Real-time Animation, as viewed by someone watching her pass.

 

Slow motion Animation, as viewed by someone watching her pass.

Real-time animation, view fixed on Vin

 

Slow Motion animation, fixed on Vin with lines showing when she pushes/pulls

Notice that there is a moment in every cycle where she isn't pushing. At that moment, she is pulling down hard enough on the horseshoe above her head that it holds her up.

A few fun facts:

• She would reach a cruising speed of ~80 mph, but could reach 120 mph if she took off her mistcloak and went into a Superman pose (i.e. face-first).

  • The major limiting factor is the sharpest angle where she could still push on the horseshoes. If they get more than 35 degrees behind her, the shoe would slip

  • Edit: Her average speed would probably be closer to 60 mph, which isn't noticably different  from the animation. See discussion below.

• 1 horseshoe "orbit" takes about 1.5 seconds

• She gets the most efficient motion if she keeps pulling on the horseshoes as they whip around the top of her head and then lets it go when it is roughly even with her feet. That lets the horseshoe pull her forward a little bit while it is in the air.

• Once she gets everything going, she'd hover in a straight line roughly 10 meters above the ground. She'd be able to balance out the forces by feel, similar to how we do while running (there's not a lot of bouncing up and down if you are running the right way).

• The horseshoe is traveling at about 100 m/s (200 mph; 360 kph) when it hits the ground, which is comparable to the muzzle velocity of an early black powder musket (except the projectile is a horseshoe and not a small lead ball).

• The simulation is 2-d, but the system would stabilize side to side motion similar to how a bike works. If you start tipping to the right,  the horseshoe behind you would be slightly to the left, so when it flew up over your head it would land on your right side and your next push would send you back to the left, holding you up.

 

Model Details

The models assume that force strength is limited by the amount of power delivered to the object and the inverse square distance between Vin and the horseshoe (like how electromagnetic forces work on earth).

Orignially, I tried simulating her getting started, but the system was chaotic (tiny differences in initial conditions make for wild differences at the end) and I could find the right set of numbers (however, figuring out the timing would be pretty easy for a human who could feel the pushes/pulls).

So, instead, I held her fixed in place and calculated the path that one horseshoe would take that would maximize forward speed without accelerating Vin enough for her to black out while minimizing her up-and-down motion (practiced runners will do the same thing just by feel). I added the other five horseshoes and planned on letting Vin move in response to the horseshoes while they stayed on a fixed, then redo the horseshoe math while keeping Vin on the new path, then figure out Vin's new path, etc. until the paths stopped changing (we call that iterative convergence).  However, I got lucky. When I put Vin in the center of the five horseshoes, her relative position varied by only a few centimeters and she ended up exactly where she started (relative position) after every cycle (e.g. looks like I got it right the first time and iterating wouldn't change anything).

 

Edited October 3, 2024 by DrPhysics
Updating information based on discussion

[Argent he/him]

The idea that Vin is slamming chunks of metal into the ground with bullet speeds, and she does it to move, is lowkey terrifying; Allomancers are scary.

Love the animations and love the work put into it, visualizing Brandon's crazy book moments is some of my favorite stuff out there!

[DrPhysics he/him]

43 minutes ago, Argent said:

The idea that Vin is slamming chunks of metal into the ground with bullet speeds

Yeah, I like to imagine her coming into the valley. At first, you'd just see a cloud (think of all the ash that she would kick up) blazing towards you at 80 mph. Then you'd start to hear the thumping. Then finally, just in front of the billowing cloud, you would see Vin with her mistcloak streaming behind, centered in a wheel of metallic death.

 

I wish there were more scenes that were detailed enough that I could do the math and figure them out. However, then I'd be more likely to find inconsistencies, so maybe it's a good thing.

[therunner he/him]

Great animation, that is about how I imagined it!

One thing I will note is that at least based on WoA, Vin is not pulling the horseshoes down, she pulls them from the ground, and lets them fly over her until they fall (chapter 52 for reference). Though maybe in HoA she enhanced the method a bit? I don't have that on hand.

For the numerical details, I think the equations are off a bit, as 100 m/s for the horseshoe sounds like way too much speed, I don't think they would survive even dozen of such impacts, and they would be driven way too deep in muddy ground. Additionally, 80 mph is also too fast, as spikeway lets Mistborn travel ~6x as fast as carriage ride, and carriages moved between 5-10 mph. So the forces probably need to be towned-down a bit.

Edited September 27, 2024 by therunner

[+Lewis Nethur He/Him]

This is insanely cool to see modeled out. Excellent contribution.

[DrPhysics he/him]

5 hours ago, therunner said:

pulls them from the ground, and lets them fly over her until they fall (chapter 52 for reference). Though maybe in HoA she enhanced the method a bit? I don't have that on hand.

She starts with a pull and then letting it fly over her head, but as she picks up speed it just says

Quote

Vin Pulled, then Pushed, then Pulled, then Pushed, moving with continual singlemindedness

The difference between letting go behind and letting go ahead is around a tenth of a second. That's the type of thing we don't really think about but will do because we feel it making us go faster. That,  and letting it go from behind resulted in paths that either hit her with the horseshoe or the horseshoe went to far ahead (once she got to speed) and she'd hit the ground (like she's does when she's trying to start).

 

6 hours ago, therunner said:

100 m/s for the horseshoe sounds like way too much speed, I don't think they would survive even dozen of such impacts, and they would be driven way too deep in muddy ground.

100 m/s into mud wouldn't do much for horseshoes. The metal will be fine.

Also, mud is a shear thickening fluid (like ooblek), so a short, hard impact really thickens it up. If it was very muddy, you would probably see them stick more from the sustained push that holds up Vin's weight than you would from a high speed impact. The impact would leave a decent mark, but the odds of it sticking in a significant way are low.

[therunner he/him]

18 hours ago, DrPhysics said:

The difference between letting go behind and letting go ahead is around a tenth of a second. That's the type of thing we don't really think about but will do because we feel it making us go faster. That,  and letting it go from behind resulted in paths that either hit her with the horseshoe or the horseshoe went to far ahead (once she got to speed) and she'd hit the ground (like she's does when she's trying to start).

Fair enough!
 

Quote

100 m/s into mud wouldn't do much for horseshoes. The metal will be fine.

Also, mud is a shear thickening fluid (like ooblek), so a short, hard impact really thickens it up. If it was very muddy, you would probably see them stick more from the sustained push that holds up Vin's weight than you would from a high speed impact. The impact would leave a decent mark, but the odds of it sticking in a significant way are low.

Well if it behaves like shear thickening fluid, then the impact force will be greater, due to it thickening. And these are old (probably not very well made, considering they are taken from Skaa) likely iron horseshoes. So repeated impacts at these speeds could cause stress fractures.
But fair enough, we don't know enough about them, and it would be an edge case.

However, the speed is still too great compared to the description. Her improvised travel method won't be faster than a spikeway, designed for that purpose.

Edited September 28, 2024 by therunner

[DrPhysics he/him]

On 9/27/2024 at 12:44 AM, therunner said:

Mistborn travel ~6x as fast as carriage ride, and carriages moved between 5-10 mph

I'm curious where you get that from. It's a number I have seen before (the more data I get, the better the model). 

80 mph is the max theoretical speed and the one that gives the smoothest ride. She could go slower, but below 60 it gets hard to cycle all 5 horseshoes. (I did a lot of pen and paper work before building the sinulation).

10 hours ago, therunner said:

Well if it behaves like shear thickening fluid, then the impact force will be greater, due to it thickening.

Greater than hitting water, less than hitting dirt. The thing that you'd have to worry about is hitting solid rock. Though,  with all the ashfall breaking down into soil, most rocks would be pretty buried (unless you hit a spot where they had been dug up).

[therunner he/him]

18 hours ago, DrPhysics said:

I'm curious where you get that from. It's a number I have seen before (the more data I get, the better the model). 

WoA chapter 52. Vin comments that spikeway reduced ~1 hour carriage ride to ~10 minute trip.

And I would note that most fauna/flora of Scadrial at the time is...in poor shape, so assuming the carriage was making 10 mph is generous. (Notably here Brandon mentions that wagon usually makes 1-2 mph, https://wob.coppermind.net/adv_search/?query=horse ).

Quote

80 mph is the max theoretical speed and the one that gives the smoothest ride. She could go slower, but below 60 it gets hard to cycle all 5 horseshoes. (I did a lot of pen and paper work before building the sinulation).

I don't doubt the simulation itself, more its assumptions.
BTW what did you use to simulate?

Quote

Greater than hitting water, less than hitting dirt. The thing that you'd have to worry about is hitting solid rock. Though,  with all the ashfall breaking down into soil, most rocks would be pretty buried (unless you hit a spot where they had been dug up).

Depends on how packed the dirt would be
I think she followed some road no? If so, it would be kept mostly ash-free I would assume.

But I am letting this point go, it would be unlikely for the horseshoe to break.

[DrPhysics he/him]

On 9/29/2024 at 6:20 AM, therunner said:

WoA chapter 52. Vin comments that spikeway reduced ~1 hour carriage ride to ~10 minute trip.

Thanks. Now I know where to poke next. 

 

On 9/29/2024 at 6:20 AM, therunner said:

BTW what did you use to simulate?

A Python script I wrote. To be a little more specific, I used the Euler-Cromer method with a custom force function, as describe in the model details. If you want more specifics, I can try finding it again.

[DrPhysics he/him]

On 9/29/2024 at 6:20 AM, therunner said:

WoA chapter 52. Vin comments that spikeway reduced ~1 hour carriage ride to ~10 minute trip.

Found it. The exact quote is:

Quote

What she really needed was a spikeway—a path marked by spikes driven in the ground that an Allomancer could push against, throwing themselves through the air again and again. On such an organized pathway, she'd once traveled from Luthadel to Fellise—an hour's carriage ride—in under ten minutes.

Another quote that gives us an estimate of speed is this one:

Quote

The wind became a roar as she Pushed herself faster and faster, steering her pathway to the south. 

There are several studies on wind loudness for cyclists. (Like this one, but it may be behind a paywall. University Faculty perks) A "roar" is hard to quantify, but concerts (including symphonies) and nightclubs come in the 110 dB range, which means she was probably going at least 45 mph (as a cyclist who has hit 60 mph going downhill, I'd lean more towards that being the minimum).  A lot of the language hints that she is going faster than ever before (like the roaring wind), so she's probably going faster than she normally wood on a spikeway (though not necessarily faster than you could go on a spikeway). 

That said, going that speed with the horseshoes probably doesn't line up travel times with how far away she was when she started the trip. 

[therunner he/him]

15 hours ago, DrPhysics said:

A Python script I wrote. To be a little more specific, I used the Euler-Cromer method with a custom force function, as describe in the model details. If you want more specifics, I can try finding it again.

If it would not be much trouble I would appreciate it

12 hours ago, DrPhysics said:

There are several studies on wind loudness for cyclists. (Like this one, but it may be behind a paywall. University Faculty perks) A "roar" is hard to quantify, but concerts (including symphonies) and nightclubs come in the 110 dB range, which means she was probably going at least 45 mph (as a cyclist who has hit 60 mph going downhill, I'd lean more towards that being the minimum). 

Well, that is hard to quantify, however 45-60mph is in the range that would be expected from the carriage/spikeway quote.

Quote

A lot of the language hints that she is going faster than ever before (like the roaring wind), so she's probably going faster than she normally wood on a spikeway (though not necessarily faster than you could go on a spikeway).

I don't think so. We have not seen her go on spikeway (as far as I can remember) so similar sensation could be there as well, we simply did not see it.

And custom build road for fast travel will be faster than improvised (and more flexible method). Spikeway will provide better anchors than horseshoe on the ground, and she will not slow down by having to pull them back.

12 hours ago, DrPhysics said:

That said, going that speed with the horseshoes probably doesn't line up travel times with how far away she was when she started the trip. 

Well, she thought she could run back in time, so she could not have been that far.
Pewter dragging mostly lets you sprint non-stop (Vin comments in TFE that her and Kelsier are slower than a horse), so lets say ~15 mph.

Per WoA. ch 51, they are "only a few days' ride from Luthadel" , even today horse can travel 20-30 miles, and that is in good conditions (i.e. not Final Empire). So let's 30 miles per day. Few days is  ~4-5 days (it is less then a week based on Spooks comment), so they would be at most 150 miles from Luthadel. Short time after that, Vin decided to run back.

After few hours, she is running low on Pewter, so assuming it is 4 hours, she would be now ~90 miles from Luthadel. Shorly after she collapses, stating that she is "still hours away from Luthadel", so the distance remaining must be something that can be run in several hours (with Pewter).  She also says with Pewter she would arrive long after dark.

She then takes off from the small village, and it takes her circa hour before she adds fifth shoe, so her trip took longer than 1 hour.
As such, I think estimating her travel speed to be in the 45-60 mph range fits the data in the book.

I'll note that the above has lots of assumptions, but the simple facts are that:

• They are certainly less than 180 miles from Luthadel when Vin starts traveling back.
• Vin starts horseshoe trick after Pewter dragging for few hours.
• Vin thinks that she can Pewter drag the remaining distance in several hours.
• She travels with horseshoes longer than 1 hour.

That certainly limits Horseshoe speed to below 80 mph.

 

Edited October 1, 2024 by therunner

[DrPhysics he/him]

7 hours ago, therunner said:

As such, I think estimating her travel speed to be in the 45-60 mph range fits the data in the book.

I dropped in an edit. 45 is too slow to manage 5 horseshoes well (according to the simulation), but 60 works just fine. That speed seems to fit all of the data.

 

Thanks for poking holes. 

[therunner he/him]

49 minutes ago, DrPhysics said:

I dropped in an edit. 45 is too slow to manage 5 horseshoes well (according to the simulation), but 60 works just fine. That speed seems to fit all of the data.

Yeah, it is possible she was reaching ~45 mph with the fewer horseshoes at the start, where she was figuring it out.
 

Quote

Thanks for poking holes. 

No problem, thanks for the discussion and beautiful simulation+animation.

[Chirolina she/her]

This is THE COOLEST thing I've seen in a long time. The brain power and coordination it likely takes to juggle the shoes for smooth forward movement is crazy!! I wonder if the leading shoe would require a quick transition from Pull (over her head) to Push (to slam it into the ground fast enough, instead of it just falling at normal gravity speed). 

[DrPhysics he/him]

2 hours ago, Chirolina said:

I wonder if the leading shoe would require a quick transition from Pull (over her head) to Push (to slam it into the ground fast enough, instead of it just falling at normal gravity speed). 

It's going fast enough that you don't have to push it.  The pulling near her head turns it more than speeding it up/slowing it down.  So,  it just keeps all the momentum it had coming from behind,  and the pull just turns that towards the ground. 

[kpShadowFox He/Him]

 

On 9/30/2024 at 10:51 AM, DrPhysics said:

A Python script I wrote. To be a little more specific, I used the Euler-Cromer method with a custom force function, as describe in the model details. If you want more specifics, I can try finding it again.

I was wondering if you could post the actual code used to run the sim? I'd love to take a look to help learn how to do more advanced and useful things in python!

[DrPhysics he/him]

On 10/4/2024 at 12:46 PM, kpShadowFox said:

I was wondering if you could post the actual code used to run the sim?

Sure. I couldn't find the one I played with to figure out the parameters, but here is the one that built the animation. The math all happens in the first half. The second half spits out each animation frame as an svg file. I used a separate piece of software to combine those into a gif.

Here's the code:

import numpy as np
import matplotlib.pyplot as plt
import pandas as pd
#Figure out some horseshoe basics, assuming Vin moves with constant horizontal velocity
v0 = 35 #80 to 120 is 35- 55 m/s
h= 10 #Vin's height above ground
#vs = np.arange(10,12,1)
#hs = np.arange(10,36,1)
#time_grid = np.zeros((vs.shape[0],hs.shape[0]))



m = 0.5 #Horseshoe mass kilograms




pull_angle = 35 #Angle where Vin starts pulling
pull_angle = np.radians(pull_angle)
pull_force_scale = 2e4 #similar to coulombs constant
g=9.8


#for i,v0 in enumerate(vs):
#    for j,h in enumerate(hs):
r_vin = np.array([0.0,h])
v_vin = np.array([v0,0.0])
dt = 0.00001
t=0

v=np.array([0.0,0.0])
r = np.array([-h*np.tan(pull_angle),0])
r_vin_arr = [r_vin.copy()]
v_vin_arr = [v_vin.copy()]
v_array = [v.copy()]
r_array = [r.copy()]
a_array = []
pull=True
release_angle = -35
release_slope = np.tan(np.radians(release_angle))
print_break=False
while r[1]>=0:
    t+=dt
    dr = r-r_vin
    R = np.linalg.norm(dr)
    if dr[0]>0 and r[1]<(release_slope*dr[0]+r_vin[1]):
        if not print_break:
            print(dr,release_slope, release_slope*dr[0]+r_vin[1])
            print_break=True
        a=np.array([0,-g])
    else:
        a_mag = pull_force_scale/R**2
        a_mag = np.min([200*g,a_mag]) #Don't let Vin's acceleration break 2 g's
        a= np.array([a_mag*(-dr[0]/R),a_mag*(-dr[1]/R)-g])
    a_vin=np.array([0,0])
    v+=a*dt
    r+=v*dt
    v_vin+= a_vin*dt
    r_vin+=v_vin*dt

    #plt.plot(r[0],r[1],'r.')
    v_array.append(v.copy())
    
    
    
    r_array.append(r.copy())
    a_array.append(a.copy())
    r_vin_arr.append(r_vin.copy())
    v_vin_arr.append(v_vin.copy())
    if (t*2)%1==0:
        print('At time {}s'.format(t))
    if t>3:
        break

#time_grid[i,j]=t
print('t: {:.4f}; ({},{})'.format(t,v0,h))
r_array = np.array(r_array)
plt.plot(r_array[::10,0],r_array[::10,1])




t_array = np.arange(0,t+dt,dt)
r_array = np.array(r_array)
v_array = np.array(v_array)
a_array = np.array(a_array)
r_vin_arr = np.array(r_vin_arr)
v_vin_arr = np.array(v_vin_arr)
dx = r_array[:,0]-r_vin_arr[:,0]
x_remain = dx[-1]-dx[0]
t_remain = x_remain/v0
t_rem_arr = np.arange(t,t+t_remain+dt,dt)
r_remain = np.array([0*t_rem_arr,0*t_rem_arr]).T
r_remain[:,0] = r[0]
t_array = np.arange(0,t+t_remain+dt,dt)
r_array = np.concatenate([np.array(r_array),r_remain])
r_arr_vin = np.array([0*t_array,0*t_array]).T
r_arr_vin[:,1]=h
r_arr_vin[:,0]=v0*t_array




a_mag = np.sqrt(a_array[:,0]**2+a_array[:,1]**2)
#build svgs for animation

#Put all data together in dataframe for convenience
data=pd.DataFrame(np.concatenate([t_array.reshape(t_array.shape[0],1),r_array[:-1,:],r_arr_vin],axis=1),columns=['t','hs_x','hs_y','vin_x','vin_y'])
data['dx'] = data['hs_x']-data['vin_x']
#load in svg front matter
front_matter = '''<?xml version="1.0" encoding="UTF-8"?>
<!-- Created with Inkscape (http://www.inkscape.org/) -->
<svg width="25mm" height="16mm" version="1.0" xml:space="preserve" xmlns="http://www.w3.org/2000/svg" xmlns:cc="http://creativecommons.org/ns#" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
	<metadata>
		<rdf:RDF>
			<cc:Work rdf:about="">
				<dc:format>image/svg+xml</dc:format>
				<dc:type rdf:resource="http://purl.org/dc/dcmitype/StillImage"/>
			</cc:Work>
		</rdf:RDF>
	</metadata>

    
	<rect width="94.488" height="60.472" fill="#fff"/><g transform="translate(575.37 192.65)">

<g stroke-width=".24567">
{}
</g>


		<circle id="CenterPoint" cx="-509.23" cy="-173.75" r=".35838" display="none" fill="#fb0000" stroke="#000" stroke-width=".22812"/>
		<rect x="-575.37" y="-135.95" width="94.488" height="3.842" fill="#006d1e"/>
		<g fill="#696969">



'''
end_matter = '''
		</g>
	</g>
{}
	<g>
		<text x="6.1777692" y="3.0096824" fill="#000000" font-size="2.6667px" stroke="#000000" stroke-width=".24567" xml:space="preserve">
			<tspan x="6.1777692" y="3.0096824" font-size="2.6667px">Pull</tspan>
		</text>
		<text x="6.1777692" y="5.9401627" fill="#000000" font-size="2.6667px" stroke="#000000" stroke-width=".24567" xml:space="preserve">
			<tspan x="6.1777692" y="5.9401627" font-size="2.6667px">Push</tspan>
		</text>
		<path d="m5.1481 1.9009-3.0097 1e-6" stroke="#b93f04" stroke-width=".62362"/>
		<path d="m5.1481 4.9105-3.0097 1e-6" fill="#0b5794" stroke="#0b5794" stroke-width=".62362"/>
	</g>
</svg>
'''
vin_string = """		<g transform="translate({} 192.65)">
		<path d="m-508.77-175.77c-0.072-7.8e-4 -0.1274 0.0142-0.25193 0.0587-0.1885 0.0673-0.19408 0.0679-0.45349 0.0468-0.1788-0.0145-0.27465-0.0136-0.30028 3e-3 -0.045 0.029-0.0624 0.1335-0.0255 0.15303 0.0168 9e-3 0.0275-2e-3 0.0301-0.0309 4e-3 -0.0404 0.0139-0.0432 0.10725-0.0288 0.0568 9e-3 0.1576 0.0294 0.22401 0.0459l0.12075 0.0299-0.0643 0.0248c-0.038 0.0146-0.14983 0.02-0.27327 0.0132-0.22569-0.0125-0.37029 0.0175-0.45068 0.0973-0.0556-0.0301-0.19518-0.0868-0.22063-0.0867-5e-3 1e-5 -0.0232-5e-3 -0.0406-0.0115-0.0444-0.0162-0.0733-0.0229-0.13535-0.0312-0.0542-7e-3 -0.1013-0.0197-0.16458-0.0431-0.042-0.0155-0.0818-0.0269-0.0944-0.0269-7e-3 0-0.0103 4e-3 -0.0123 0.0136l-3e-3 0.0136-0.0141-0.0104c-8e-3 -6e-3 -0.0302-0.0204-0.0498-0.0325-0.0197-0.0121-0.0481-0.0314-0.0632-0.0428-0.0151-0.0115-0.0368-0.0263-0.0484-0.033-0.0307-0.0178-0.10457-0.0429-0.15489-0.0528-0.0149-3e-3 -0.0514-0.0121-0.0812-0.0204-0.0673-0.0187-0.076-0.02-0.15109-0.0225-0.0609-2e-3 -0.17304 7e-3 -0.20973 0.0163-0.0476 0.0124-0.0832 0.024-0.10421 0.0338-0.0127 6e-3 -0.0349 0.0148-0.0494 0.0198s-0.0433 0.0192-0.0639 0.0316-0.0385 0.0225-0.0398 0.0225c-1e-3 0-0.0103 5e-3 -0.0201 0.0113-0.0585 0.0369-0.15298 0.0381-0.21789 3e-3 -0.0119-6e-3 -0.0373-0.0204-0.0564-0.031s-0.0418-0.0227-0.0505-0.0271c-9e-3 -4e-3 -0.0193-0.011-0.0235-0.0148-0.0109-0.01-0.0864-0.0469-0.11767-0.0578-0.017-6e-3 -0.0369-0.01-0.0569-0.0118-0.0199-2e-3 -0.0399-1e-3 -0.0571 1e-3 -0.0631 0.0104-0.15828 0.0588-0.20246 0.10303-0.0262 0.0262-0.055 0.0657-0.0725 0.0992-0.0249 0.0478-0.026 0.0483-0.0489 0.0227-0.0167-0.0187-0.021-0.0213-0.0315-0.0187-0.0295 7e-3 -0.0396 0.0487-0.0161 0.0661 0.0189 0.014 0.0362 0.0118 0.0551-7e-3 0.0186-0.0186 0.0213-0.0197 0.0213-9e-3 0 4e-3 -7e-3 0.0136-0.0159 0.0206-9e-3 7e-3 -0.0148 0.0144-0.0136 0.0165 1e-3 2e-3 -6.8e-4 0.01-4e-3 0.0166-6e-3 0.012-6e-3 0.0134 3e-3 0.0201 0.0103 8e-3 0.0468 0.0175 0.0655 0.0175 0.0125 0 0.0424-0.0126 0.0477-0.0201 2e-3 -3e-3 2e-3 -7e-3 1e-3 -0.0102-1e-3 -3e-3 9.8e-4 -0.0113 5e-3 -0.0185 5e-3 -0.0103 9e-3 -0.0127 0.0175-0.011 6e-3 1e-3 0.0187-3.4e-4 0.0282-3e-3 0.0226-7e-3 0.0663-0.0242 0.0691-0.0271 1e-3 -1e-3 0.01-6e-3 0.0192-0.0112 0.0155-8e-3 0.0188-0.0122 0.0175-0.0213-2.7e-4 -2e-3 3e-3 -2e-3 7e-3 -3.7e-4 5e-3 2e-3 0.0108-1e-3 0.0169-8e-3 0.0115-0.0136 0.0314-0.0265 0.041-0.0265 4e-3 0 8e-3 -3e-3 0.01-6e-3 1e-3 -4e-3 8e-3 -8e-3 0.0157-9e-3 7e-3 -2e-3 0.0123-4e-3 0.0112-6e-3 -1e-3 -2e-3 7e-3 -3e-3 0.0169-3e-3 0.0104-1.2e-4 0.033-7.7e-4 0.0504-1e-3 0.0274-1e-3 0.0356 6.5e-4 0.0619 0.0129 0.0336 0.0156 0.10067 0.0592 0.12523 0.0814 9e-3 8e-3 0.0214 0.0176 0.0282 0.0217 7e-3 4e-3 0.0124 9e-3 0.0124 0.0109 0 2e-3 2e-3 4e-3 5e-3 4e-3s0.0153 8e-3 0.0282 0.0174c0.0129 0.01 0.0311 0.0201 0.0404 0.0235 9e-3 3e-3 0.0169 8e-3 0.0169 0.0102 0 2e-3 4e-3 3e-3 9e-3 2e-3 6e-3 -2e-3 9e-3 -1.3e-4 9e-3 5e-3 5e-5 6e-3 8.3e-4 6e-3 4e-3 1e-3 2e-3 -3e-3 6e-3 -5e-3 9e-3 -3e-3s4e-3 5e-3 2e-3 7e-3c-1e-3 2e-3 5e-5 5e-3 3e-3 5e-3 0.0113 1e-3 0.015 3e-3 0.033 0.0106 0.01 4e-3 0.0272 8e-3 0.0383 9e-3 0.0112 4.8e-4 0.0244 2e-3 0.0293 4e-3 5e-3 2e-3 0.0143 5e-3 0.0208 8e-3 0.0157 6e-3 0.072 1e-3 0.0906-7e-3 8e-3 -4e-3 0.0277-0.0138 0.0435-0.0223 0.0158-8e-3 0.032-0.0164 0.0361-0.0177 4e-3 -1e-3 0.0247-9e-3 0.0458-0.0178 0.0579-0.0235 0.13531-0.0439 0.13531-0.0356 0 2e-3 0.0137 4e-3 0.0304 4e-3 0.0195 2.7e-4 0.0421 4e-3 0.063 0.0115 0.0215 7e-3 0.0331 9e-3 0.0342 6e-3 1e-3 -4e-3 4e-3 -3e-3 8e-3 4.4e-4 4e-3 3e-3 0.0164 8e-3 0.0285 0.0103 0.012 3e-3 0.0275 9e-3 0.0344 0.0138 7e-3 5e-3 0.0156 8e-3 0.0201 6e-3 4e-3 -2e-3 9e-3 -8.3e-4 0.0106 2e-3 2e-3 3e-3 0.01 9e-3 0.0184 0.0133 9e-3 5e-3 0.0162 0.0107 0.017 0.0132 9e-4 3e-3 -0.0234 8e-3 -0.0591 0.0124-0.0803 0.0104-0.10456 0.0182-0.18882 0.0609-0.0765 0.0387-0.11931 0.0548-0.14611 0.0548-0.0238 0-0.0135 8e-3 0.0143 0.0106 0.0124 1e-3 0.0388 5e-3 0.0586 7e-3 0.0199 3e-3 0.0447 4e-3 0.0553 4e-3 0.0106-7.6e-4 0.0192 4.5e-4 0.0192 3e-3 0 7e-3 0.0728-5e-5 0.0773-7e-3 3e-3 -4e-3 5e-3 -5e-3 7e-3 -9.6e-4 2e-3 3e-3 0.0105 6e-3 0.0192 8e-3 0.0116 2e-3 0.014 2e-3 9e-3 -2e-3 -4e-3 -3e-3 -5e-3 -5e-3 -1e-3 -5e-3 3e-3 -4e-5 7e-3 2e-3 8e-3 5e-3 2e-3 3e-3 7e-3 4e-3 0.0109 3e-3 8e-3 -2e-3 0.0569 9e-3 0.0872 0.0206 9e-3 3e-3 0.0274 0.0158 0.0398 0.0274 0.0124 0.0115 0.0245 0.021 0.0268 0.021 2e-3 0 4e-3 4e-3 4e-3 8e-3 1.8e-4 0.01 0.011 0.0246 0.015 0.0206 2e-3 -2e-3 3e-3 3.2e-4 3e-3 4e-3 0 4e-3 0.0101 0.0188 0.0224 0.0329 0.0124 0.0141 0.0214 0.0274 0.02 0.0296-1e-3 2e-3 -1.7e-4 4e-3 3e-3 4e-3 3e-3 0 7e-3 6e-3 0.01 0.0135 3e-3 7e-3 7e-3 0.0135 9e-3 0.0135s4e-3 3e-3 4e-3 7e-3 3e-3 8e-3 7e-3 0.01c4e-3 1e-3 7e-3 6e-3 7e-3 0.0108 0 5e-3 3e-3 0.0109 6e-3 0.0143 0.0101 0.0109 0.0237 0.0325 0.0328 0.052 5e-3 0.0105 0.0112 0.0191 0.014 0.0192 3e-3 2e-5 6e-3 6e-3 8e-3 0.0139 2e-3 8e-3 5e-3 0.0126 7e-3 0.011 3e-3 -2e-3 5e-3 2e-3 5e-3 9e-3 0 6e-3 2e-3 0.0115 5e-3 0.0115 2e-3 0 5e-3 3e-3 5e-3 7e-3s6e-3 0.0156 0.0129 0.0259c7e-3 0.0104 0.0195 0.0321 0.0276 0.0482 8e-3 0.0161 0.0191 0.0354 0.0246 0.0428 5e-3 7e-3 0.0163 0.0247 0.024 0.0383 8e-3 0.0136 0.0203 0.0308 0.0279 0.0381 8e-3 7e-3 0.0138 0.0169 0.0138 0.0214 0 4e-3 3e-3 8e-3 7e-3 8e-3s9e-3 5e-3 0.0112 0.0113c2e-3 6e-3 7e-3 0.0113 0.0102 0.0113 3e-3 0 9e-3 6e-3 0.0133 0.0126 0.01 0.0167 0.0378 0.0461 0.0438 0.0461 3e-3 0 5e-3 3e-3 5e-3 6e-3s3e-3 8e-3 7e-3 9e-3 6e-3 4e-3 5e-3 7e-3c-1e-3 2e-3 7e-3 0.0138 0.0184 0.026 0.064 0.0679 0.0838 0.0878 0.0858 0.0859 3e-3 -3e-3 0.0194 0.0137 0.0194 0.0189 0 2e-3 5e-3 6e-3 0.0113 9e-3 6e-3 3e-3 0.0108 7e-3 0.0102 9e-3 -1e-3 4e-3 0.0309 0.0321 0.0367 0.0322 2e-3 4e-5 0.01 6e-3 0.018 0.0135 8e-3 7e-3 0.018 0.0135 0.0214 0.0135 3e-3 0 6e-3 3e-3 6e-3 6e-3 1.8e-4 7e-3 0.0397 0.0315 0.0453 0.028 2e-3 -1e-3 4e-3 9e-5 4e-3 3e-3 0 7e-3 0.0435 0.0323 0.0496 0.0285 2e-3 -2e-3 5e-3 -4.6e-4 5e-3 2e-3 0 3e-3 2e-3 4e-3 5e-3 3e-3 3e-3 -9.9e-4 0.0102 2e-3 0.0161 8e-3 6e-3 5e-3 0.0121 9e-3 0.0138 9e-3 2e-3 -3.5e-4 0.0105 3e-3 0.0197 8e-3 9e-3 5e-3 0.0199 9e-3 0.0237 9e-3 4e-3 0 7e-3 3e-3 7e-3 6e-3 1e-5 3e-3 9e-3 0.01 0.02 0.0149 0.011 5e-3 0.0188 7e-3 0.0172 5e-3 -2e-3 -2e-3 3e-3 -7e-5 0.0111 5e-3 8e-3 5e-3 0.0179 0.01 0.0228 0.01 5e-3 0 0.0114 3e-3 0.0145 7e-3 7e-3 8e-3 0.018 9e-3 0.0182 1e-3 9e-5 -4e-3 2e-3 -3e-3 6e-3 2e-3 3e-3 4e-3 0.0101 7e-3 0.0156 6e-3 6e-3 -4.3e-4 0.0102 2e-3 0.0102 5e-3s0.01 9e-3 0.0214 0.0133c0.0118 4e-3 0.0306 0.0118 0.0417 0.0169 0.0118 5e-3 0.0307 9e-3 0.0451 0.01 0.0136 2.4e-4 0.0262 2e-3 0.028 5e-3 2e-3 2e-3 0.0149 7e-3 0.0293 0.01 0.0403 8e-3 0.0813 0.0191 0.11995 0.0312 0.0193 6e-3 0.0374 0.01 0.0402 8e-3 3e-3 -2e-3 4e-3 -1e-3 2e-3 2e-3s3e-3 7e-3 0.0141 0.01c9e-3 3e-3 0.0211 7e-3 0.0258 0.0109 8e-3 6e-3 6e-3 7e-3 -0.0243 0.0119-0.0347 6e-3 -0.0711 3e-3 -0.16047-0.0118-0.042-7e-3 -0.1341-0.0358-0.16479-0.0514-0.01-5e-3 -0.0205-9e-3 -0.0241-9e-3 -4e-3 0-7e-3 -2e-3 -8e-3 -4e-3 -8.2e-4 -2e-3 -0.0218-0.0125-0.0466-0.0233s-0.0524-0.0242-0.0613-0.0298c-9e-3 -6e-3 -0.0404-0.0226-0.0699-0.0379-0.0647-0.0334-0.092-0.0486-0.10104-0.0562-0.014-0.0118-0.0804-0.0558-0.11928-0.079-0.0697-0.0416-0.1114-0.0742-0.16261-0.12738-0.0634-0.0657-0.09-0.10277-0.10199-0.14207-0.0227-0.0743-0.0766-0.18912-0.11925-0.25406-0.0292-0.0445-0.10429-0.13919-0.13904-0.17535-0.0838-0.0872-0.15966-0.13915-0.22831-0.15628-0.0161-4e-3 -0.0356-9e-3 -0.0432-0.0115-0.0244-7e-3 -0.12228-5e-3 -0.18152 5e-3 -0.0862 0.0141-0.21776 0.0281-0.2362 0.0251-0.0226-4e-3 -0.0258 4e-3 -9e-3 0.0208 8e-3 8e-3 0.014 0.0171 0.014 0.0213 0 0.0105 9e-3 0.0184 0.0208 0.0184 5e-3 0 0.0107 2e-3 0.0115 4e-3 2e-3 4e-3 0.0655 0.031 0.0872 0.0369 0.0398 0.011 0.0585 0.0139 0.06 9e-3 9.4e-4 -3e-3 4e-3 -2e-3 9e-3 2e-3 4e-3 4e-3 0.0123 7e-3 0.0188 6e-3 0.0278-2e-3 0.0804 0.0155 0.0913 0.0309 3e-3 5e-3 0.0114 0.01 0.0178 0.0115 6e-3 2e-3 0.0176 8e-3 0.0248 0.0145 0.0355 0.0312 0.0852 0.0826 0.0978 0.10105 8e-3 0.0114 0.0157 0.0213 0.0177 0.0222 2e-3 8.2e-4 4e-3 4e-3 4e-3 8e-3 0 3e-3 7e-3 0.0152 0.0156 0.0264 0.0495 0.0649 0.0959 0.18275 0.1041 0.26449 3e-3 0.0315 0.0195 0.12742 0.0341 0.20076 0.01 0.0482 0.0265 0.108 0.0405 0.14384 5e-3 0.0121 9e-3 0.0245 9e-3 0.0276 0 3e-3 4e-3 0.0104 8e-3 0.0163 5e-3 6e-3 0.01 0.0157 0.0118 0.0217 4e-3 0.0114 0.0359 0.0622 0.0519 0.0816 5e-3 6e-3 0.0187 0.024 0.0301 0.0395s0.0226 0.0282 0.0249 0.0282c2e-3 0 3e-3 2e-3 2e-3 4e-3 -3e-3 4e-3 0.0455 0.0518 0.057 0.0562 4e-3 2e-3 8e-3 6e-3 8e-3 9e-3 -9e-5 7e-3 0.126 0.12984 0.1331 0.12984 3e-3 0 9e-3 6e-3 0.0131 0.0139l8e-3 0.0139-0.0129-7e-3c-0.0336-0.0174-0.10439-0.0696-0.13687-0.10097-0.0136-0.0131-0.0262-0.0239-0.0279-0.0239-2e-3 0-0.0264-0.0259-0.0548-0.0575-0.11108-0.12368-0.22852-0.22865-0.28942-0.25869-0.01-5e-3 -0.0211-0.0108-0.0248-0.0131-7e-3 -4e-3 -0.0888-0.0429-0.10599-0.05-0.0264-0.0109-0.20469-0.0583-0.21938-0.0583-2e-3 0-3e-3 3e-3 -2e-3 6e-3 2e-3 3e-3 -6e-5 2e-3 -4e-3 -2e-3 -5e-3 -7e-3 -0.0503-0.0213-0.0866-0.0283-0.013-3e-3 -0.0639-0.0196-0.0902-0.0303-0.0124-5e-3 -0.0398-0.0148-0.0609-0.0217-0.1475-0.0482-0.21596-0.0882-0.31283-0.18295-0.0609-0.0595-0.10681-0.10131-0.14271-0.12981-0.098-0.0778-0.12915-0.0952-0.18227-0.10196-0.0178-2e-3 -0.0468-9e-3 -0.0643-0.0156-0.0175-6e-3 -0.0345-0.0115-0.0376-0.0115-8e-3 0-0.0553-0.0235-0.0596-0.0293-2e-3 -3e-3 -3e-3 -2e-3 -3e-3 1e-3 -4e-5 4e-3 -3e-3 5e-3 -9e-3 3e-3 -5e-3 -2e-3 -0.0148-2e-3 -0.0214 1.1e-4l-0.0121 3e-3 0.0135 6e-3c0.0123 5e-3 0.0126 6e-3 3e-3 6e-3 -6e-3 2e-4 -9e-3 2e-3 -8e-3 5e-3 2e-3 2e-3 7e-3 4e-3 0.0127 4e-3 0.0162-1e-3 0.0596 0.0264 0.0727 0.0463 0.0184 0.0278 0.0207 0.0371 0.016 0.0657-2e-3 0.0142-3e-3 0.0269-2e-3 0.0282 1e-3 1e-3 9e-3 -5e-5 0.0163-3e-3 0.0125-5e-3 0.0154-4e-3 0.0275 6e-3 0.01 8e-3 0.0167 0.0106 0.0256 9e-3 0.0121-3e-3 0.0403 8e-3 0.0707 0.0273 0.0176 0.0111 0.0603 0.0497 0.0604 0.0547 4e-5 2e-3 8e-3 0.0117 0.018 0.0214 0.01 0.01 0.018 0.0191 0.018 0.0207 0 2e-3 0.0151 0.0231 0.0335 0.0477s0.0413 0.0555 0.0507 0.0686c9e-3 0.0132 0.0258 0.0347 0.0364 0.0478 0.0105 0.0131 0.0192 0.0262 0.0192 0.0291 0 3e-3 2e-3 5e-3 4e-3 5e-3s6e-3 5e-3 7e-3 0.0102c2e-3 6e-3 0.012 0.0203 0.0229 0.0326 0.0108 0.0124 0.0196 0.0241 0.0196 0.0261s9e-3 0.015 0.0192 0.0288c0.0105 0.0138 0.0223 0.0299 0.0262 0.0357 4e-3 6e-3 0.0133 0.0162 0.021 0.0232 8e-3 7e-3 0.0231 0.0232 0.0343 0.036s0.0215 0.0221 0.023 0.0207c1e-3 -1e-3 3e-3 -3.9e-4 3e-3 2e-3 0 3e-3 7e-3 0.0118 0.0145 0.0199 8e-3 8e-3 0.0137 0.0148 0.0128 0.0148-9.3e-4 0 1e-3 5e-3 5e-3 0.0102 7e-3 0.0113 0.0156 0.0139 0.0116 4e-3 -1e-3 -4e-3 -4.3e-4 -8e-3 2e-3 -0.01 3e-3 -2e-3 4e-3 1e-3 3e-3 8e-3 -2e-3 0.0146 9e-3 0.0323 0.0169 0.0291 4e-3 -1e-3 6e-3 -8.4e-4 4e-3 1e-3 -4e-3 6e-3 0.0368 0.0448 0.0458 0.0441 5e-3 -4.4e-4 7e-3 2e-3 6e-3 8e-3 -1e-3 7e-3 5.6e-4 8e-3 8e-3 6e-3 6e-3 -2e-3 9e-3 -6.3e-4 8e-3 3e-3 -2e-3 7e-3 0.0282 0.0398 0.0335 0.0365 2e-3 -1e-3 3e-3 -5.5e-4 3e-3 2e-3 -6.8e-4 2e-3 8e-3 0.0137 0.0202 0.0252 0.0118 0.0115 0.0215 0.0184 0.0215 0.0152 8e-5 -3e-3 2e-3 -2e-3 5e-3 2e-3s3e-3 0.01 2e-3 0.0124c-2e-3 3e-3 2e-3 4e-3 8e-3 3e-3 7e-3 -7.3e-4 0.01 1e-3 9e-3 5e-3 -2e-3 9e-3 8e-3 0.019 0.0165 0.0176 4e-3 -6.5e-4 7e-3 1e-3 6e-3 4e-3 -1e-3 6e-3 0.0282 0.0331 0.0362 0.0331 3e-3 0 0.0106 6e-3 0.0168 0.0124 0.0184 0.0203 0.0502 0.0462 0.0568 0.0462 3e-3 0 6e-3 2e-3 6e-3 4e-3s0.0112 0.0116 0.0248 0.0211c0.0136 9e-3 0.0248 0.0189 0.0248 0.0212 0 2e-3 2e-3 3e-3 5e-3 2e-3 3e-3 -9.3e-4 0.011 3e-3 0.0182 0.01 7e-3 6e-3 0.0198 0.0155 0.0282 0.0205 8e-3 5e-3 0.022 0.0144 0.0303 0.021 0.0222 0.0174 0.0669 0.0406 0.0722 0.0373 3e-3 -2e-3 7e-3 4.3e-4 0.01 4e-3 3e-3 4e-3 0.0223 0.0141 0.043 0.0225 0.0207 8e-3 0.0399 0.0176 0.0426 0.0203 3e-3 3e-3 8e-3 5e-3 0.0108 5e-3 3e-3 0 6e-3 2e-3 6e-3 4e-3s0.0101 5e-3 0.0224 7e-3 0.0235 5e-3 0.0249 7e-3c1e-3 2e-3 0.0116 5e-3 0.0227 7e-3s0.0202 5e-3 0.0202 7e-3 0.0132 5e-3 0.0293 7e-3 0.0293 5e-3 0.0293 7e-3 0.0127 5e-3 0.0282 7e-3c0.0247 3e-3 0.0503 0.0111 0.0766 0.0252 4e-3 2e-3 0.0125 4e-3 0.0182 4e-3 6e-3 0 0.0145 3e-3 0.0195 6e-3 5e-3 4e-3 0.0223 8e-3 0.0382 0.01s0.0318 5e-3 0.0353 8e-3c4e-3 4e-3 0.0765 5e-3 0.24806 5e-3 0.22311 0 0.2426-6e-4 0.25291-8e-3 8e-3 -5e-3 0.0156-7e-3 0.0257-5e-3 9e-3 2e-3 0.0197 1.3e-4 0.0284-4e-3 8e-3 -4e-3 0.0127-5e-3 0.0113-3e-3 -3e-3 5e-3 4e-3 5e-3 9e-3 1.4e-4 6e-3 -6e-3 0.0714-0.0185 0.0951-0.0185 0.0124 0 0.0285-4e-3 0.0422-0.0113 0.0227-0.0115 0.0543-0.0146 0.0853-8e-3 0.0129 3e-3 0.0135 3e-3 6e-3 8e-3 -4e-3 3e-3 -0.0233 9e-3 -0.0419 0.0135-0.0186 4e-3 -0.0501 0.0126-0.0699 0.0183-0.0362 0.0104-0.0759 0.0196-0.12629 0.0291-0.0149 3e-3 -0.0342 7e-3 -0.0428 9e-3 -0.0188 5e-3 -0.0806 0.0167-0.0902 0.0171-4e-3 1.5e-4 -0.0179 1e-3 -0.0316 2e-3 -0.16433 0.0116-0.20543 0.0129-0.26186 8e-3 -0.18739-0.0166-0.39407-0.0707-0.589-0.15418-0.0939-0.0402-0.27225-0.13681-0.32035-0.17351-8e-3 -6e-3 -0.0158-0.011-0.0176-0.011-2e-3 0-0.0126-9e-3 -0.0241-0.0192-0.0115-0.0105-0.0379-0.0344-0.0586-0.053s-0.0399-0.0364-0.0427-0.0395c-3e-3 -3e-3 -0.0275-0.0285-0.0548-0.0564-0.0274-0.0279-0.0577-0.0629-0.0674-0.0777-0.01-0.0149-0.0343-0.0445-0.0547-0.0659s-0.0403-0.0452-0.0443-0.053c-4e-3 -8e-3 -0.0105-0.0141-0.0144-0.0141-4e-3 0-0.0135-5e-3 -0.0213-0.0113-8e-3 -6e-3 -0.0162-0.0128-0.0187-0.0147-2e-3 -2e-3 -0.0116-9e-3 -0.0203-0.0151-0.0479-0.0356-0.13571-0.0605-0.18268-0.0517-0.0143 3e-3 -0.0153 4e-3 -9e-3 0.01 4e-3 4e-3 6e-3 8e-3 5e-3 0.0103-1e-3 2e-3 8e-3 8e-3 0.0198 0.0129 0.0126 6e-3 0.0263 0.0159 0.0324 0.0244 6e-3 8e-3 0.0149 0.0197 0.0202 0.0255 6e-3 6e-3 9e-3 0.0142 7e-3 0.0192-3e-3 0.0113-0.0102 0.0109-0.0102-5.2e-4 0-0.0111-0.0202-0.0346-0.0374-0.0435-0.0206-0.0107-0.0753-2e-3 -0.0753 0.0121 0 2e-3 -3e-3 4e-3 -7e-3 4e-3 -0.0216 0-0.0264 0.0592-5e-3 0.065 8e-3 2e-3 9e-3 3e-3 3e-3 7e-3s-6e-3 4e-3 1e-3 5e-3c4e-3 4e-5 8e-3 2e-3 8e-3 5e-3 0 2e-3 3e-3 5e-3 6e-3 5e-3s0.0108 5e-3 0.0167 0.0114c6e-3 6e-3 0.013 0.0106 0.0157 0.01 3e-3 -1e-3 0.013 3e-3 0.0228 9e-3 0.0224 0.0136 0.0249 0.0135 0.0408-1e-3 0.0119-0.011 0.013-0.0147 0.0127-0.0406-2.4e-4 -0.0157 1e-3 -0.0285 3e-3 -0.0285s4e-3 7e-3 4e-3 0.0147c5e-5 0.0359 0.074 0.1173 0.10656 0.1173 6e-3 0 0.012 2e-3 0.0133 4e-3 1e-3 2e-3 8e-3 4e-3 0.015 4e-3 9e-3 0 0.0209 7e-3 0.0392 0.0231 0.0624 0.0542 0.1191 0.11381 0.1191 0.12525 0 3e-3 2e-3 5e-3 4e-3 5e-3s6e-3 5e-3 8e-3 0.0102c7e-3 0.0185 0.0561 0.0981 0.0607 0.0981 2e-3 0 3e-3 2e-3 1e-3 5e-3s-1.7e-4 7e-3 4e-3 0.0102c4e-3 3e-3 0.01 0.011 0.0138 0.0185 4e-3 7e-3 0.0112 0.0186 0.0164 0.0248 5e-3 6e-3 0.0112 0.0134 0.0133 0.0161 2e-3 3e-3 7e-3 0.01 0.01 0.0158 3e-3 6e-3 7e-3 0.012 8e-3 0.0133 1e-3 1e-3 0.0128 0.0144 0.025 0.0293 0.0123 0.0149 0.025 0.0301 0.0283 0.0338 3e-3 4e-3 0.0102 0.0118 0.0152 0.018 5e-3 6e-3 0.0299 0.0334 0.0551 0.0604s0.0485 0.0529 0.0518 0.0575c3e-3 5e-3 8e-3 8e-3 0.0103 8e-3 2e-3 0 7e-3 2e-3 0.01 5e-3 0.0419 0.035 0.14758 0.10824 0.15621 0.10824 2e-3 0 5e-3 2e-3 6e-3 4e-3 3e-3 7e-3 0.0519 0.034 0.078 0.0426 0.015 5e-3 0.0292 0.0105 0.0317 0.0125 5e-3 4e-3 0.0482 0.0276 0.0801 0.0438 0.0118 6e-3 0.0232 0.01 0.0254 8e-3 2e-3 -1e-3 6e-3 5.3e-4 9e-3 4e-3 5e-3 6e-3 0.0259 0.0134 0.0734 0.0252 0.0119 3e-3 0.0207 6e-3 0.0196 7e-3 -1e-3 1e-3 -0.0436-1e-3 -0.0944-5e-3 -0.0634-5e-3 -0.10564-0.0106-0.13444-0.0181-0.0231-6e-3 -0.0436-0.01-0.0455-9e-3 -2e-3 1e-3 -4e-3 2.5e-4 -4e-3 -2e-3 0-2e-3 -7e-3 -6e-3 -0.0161-7e-3 -0.0596-0.0112-0.20409-0.0922-0.26103-0.14635-0.0237-0.0225-0.0588-0.0715-0.0724-0.10089-4e-3 -9e-3 -0.01-0.0169-0.0118-0.0169-2e-3 0-4e-3 -5e-3 -4e-3 -0.0119 0-7e-3 -6e-3 -0.0198-0.0151-0.0304-0.0148-0.0182-0.0281-0.0481-0.0314-0.0704-1e-3 -9e-3 -4e-3 -6e-3 -0.0161 0.0195-0.0126 0.0268-0.017 0.0319-0.0341 0.0395-0.0108 5e-3 -0.0209 0.012-0.0224 0.0161-3e-3 9e-3 -3e-3 0.01 0.0112 0.0121 8e-3 1e-3 0.0114 5e-3 0.0124 0.0137 7.9e-4 7e-3 3e-3 0.0109 6e-3 9e-3 6e-3 -3e-3 0.011 0.0104 0.0227 0.0588 5e-3 0.0223 0.0116 0.0425 0.0137 0.0449 2e-3 2e-3 4e-3 0.01 4e-3 0.0169 0 7e-3 2e-3 0.0126 4e-3 0.0126s6e-3 4e-3 7e-3 0.01c2e-3 5e-3 7e-3 0.0139 0.0115 0.0188 5e-3 5e-3 0.0139 0.0173 0.0207 0.0274 0.0264 0.0394 0.0707 0.0974 0.0743 0.0974 2e-3 0 4e-3 3e-3 4e-3 6e-3s9e-3 0.0164 0.0203 0.0288c0.0112 0.0124 0.0203 0.0246 0.0203 0.027 0 2e-3 4e-3 6e-3 9e-3 7e-3 6e-3 1e-3 8e-3 5e-3 6e-3 8e-3s-5.7e-4 5e-3 3e-3 4e-3c3e-3 -4.6e-4 9e-3 -5.7e-4 0.0129-2.4e-4 5e-3 4.9e-4 6e-3 1e-3 7e-4 4e-3 -5e-3 3e-3 -5e-3 6e-3 -3.2e-4 0.013 3e-3 5e-3 8e-3 8e-3 0.0117 7e-3 4e-3 -1e-3 6e-3 1e-3 6e-3 8e-3s2e-3 9e-3 7e-3 7e-3c4e-3 -2e-3 7e-3 -7e-5 7e-3 4e-3 0 3e-3 5e-3 9e-3 0.0102 0.0132 6e-3 4e-3 0.0213 0.0173 0.0349 0.0298s0.0273 0.0228 0.0304 0.0228c3e-3 0 6e-3 2e-3 6e-3 4e-3s8e-3 7e-3 0.0168 0.01c9e-3 3e-3 0.0193 8e-3 0.0224 0.0105 0.014 0.0124 0.0186 0.0153 0.0283 0.0184 6e-3 2e-3 0.0219 0.0107 0.0359 0.0198 0.014 9e-3 0.0406 0.0214 0.0591 0.0275 0.0185 6e-3 0.0347 0.0123 0.036 0.0138 1e-3 1e-3 0.0215 7e-3 0.0451 0.0132 0.0236 6e-3 0.0509 0.0134 0.0608 0.0168 0.0111 4e-3 0.0186 5e-3 0.0195 2e-3 8.3e-4 -2e-3 8e-3 -8.7e-4 0.0159 4e-3 8e-3 4e-3 0.024 0.01 0.0357 0.0113 0.0117 2e-3 0.0223 5e-3 0.0236 7e-3 1e-3 2e-3 0.0181 5e-3 0.0373 7e-3s0.0435 4e-3 0.0541 4e-3c0.0105 8.7e-4 0.0203-2.8e-4 0.0217-3e-3 1e-3 -2e-3 4e-3 -3e-3 6e-3 -2e-3s5e-3 3.3e-4 7e-3 -2e-3c2e-3 -3e-3 5e-3 -2e-3 9e-3 1e-3 4e-3 4e-3 0.0181 6e-3 0.0369 7e-3 0.017 4.8e-4 0.0374 2e-3 0.0455 3e-3 8e-3 1e-3 0.0147 8.7e-4 0.0147-1e-3 0-2e-3 7e-3 -4e-3 0.0147-4e-3 0.0358-6.5e-4 0.0704-9e-3 0.0767-0.0174 2e-3 -3e-3 4e-3 -3e-3 7e-3 2.5e-4 2e-3 4e-3 0.0114 4e-3 0.0327 5e-4 0.0161-3e-3 0.0349-4e-3 0.0417-4e-3 7e-3 2.5e-4 0.0124-2e-3 0.0124-4e-3 0-3e-3 5e-3 -4e-3 0.0102-4e-3 0.0143 1e-3 0.0482-5e-3 0.0511-0.01 1e-3 -2e-3 8e-3 -4e-3 0.0137-4e-3 0.0138 0 0.0299-8e-3 0.0266-0.0133-1e-3 -2e-3 2e-3 -3e-3 7e-3 -1e-3 5e-3 1e-3 9e-3 1.3e-4 9e-3 -3e-3 0-9e-3 0.0134-5e-3 0.0154 5e-3 0.0285 0.17969 0.0757 0.28355 0.11978 0.34478-3e-3 3e-3 -4e-3 5e-3 -9e-3 0.01-0.0277 0.0261-0.081 0.0678-0.13197 0.10343-0.0579 0.0403-0.25342 0.15875-0.36215 0.21924-0.048 0.0267-0.0483 0.0271-0.0352 0.0543l8e-3 0.0165-0.0349 0.0276c-0.0394 0.0311-0.0463 0.0406-0.0459 0.0628 4.4e-4 0.0222 0.01 0.0437 0.0329 0.077 0.0114 0.0163 0.0268 0.0417 0.0343 0.0565 8e-3 0.0148 0.0162 0.0278 0.0192 0.0289 3e-3 1e-3 8e-3 0.0105 0.0118 0.0208 0.0172 0.0521 0.0352 0.0751 0.0888 0.1135 0.0169 0.0121 0.0366 0.0291 0.0438 0.0376 0.0304 0.0364 0.0414 0.0469 0.0567 0.054 0.0197 9e-3 0.0331 9e-3 0.0454-2e-3 5e-3 -5e-3 0.0111-8e-3 0.0131-7e-3 2e-3 7.1e-4 0.0162 0.0138 0.0316 0.029 0.0155 0.0152 0.0301 0.0284 0.0326 0.0293 8e-3 3e-3 0.01-3e-3 5e-3 -0.0168-3e-3 -8e-3 -5e-3 -0.0157-4e-3 -0.0179 2e-3 -5e-3 0.0394-0.0653 0.0405-0.0649 4.4e-4 1.6e-4 9e-3 9e-3 0.0192 0.019 0.0239 0.0243 0.054 0.046 0.0736 0.0532 0.0231 8e-3 0.0552 6e-3 0.0773-6e-3 0.0191-0.0103 0.0418-0.0319 0.0524-0.0499 6e-3 -9e-3 7e-3 -0.0104 0.0134-7e-3 4e-3 2e-3 0.0281 0.0122 0.054 0.0229 0.0508 0.021 0.0894 0.0303 0.13369 0.0322 0.0689 3e-3 0.13494-0.029 0.19513-0.0945 0.0208-0.0226 0.0244-0.0283 0.0394-0.0623 9e-3 -0.0206 0.0177-0.039 0.0192-0.041 4e-3 -5e-3 0.0298 0.0258 0.0425 0.0516l0.0106 0.0214-0.014 0.0382-0.0253 3e-3c-0.04 5e-3 -0.0492 0.011-0.0694 0.0438-0.0122 0.0199-0.0126 0.021-0.0319 0.11419-0.0108 0.0518-0.0154 0.0611-0.0411 0.0817-0.0454 0.0365-0.0569 0.0534-0.0555 0.0815 7.2e-4 0.0138-0.01 0.0483-0.0242 0.0788-0.011 0.0233-0.0115 0.0408-3e-3 0.0866 0.0117 0.0599 0.0166 0.12938 0.0114 0.16033-1e-3 8e-3 -8e-3 0.0323-0.014 0.0539l-0.0115 0.0393 0.0562 0.0226 2e-3 0.0223c3e-3 0.0328 0.0159 0.0848 0.0254 0.10312 0.01 0.0189 0.0401 0.0527 0.0618 0.0688 0.0195 0.0145 0.0509 0.0264 0.0674 0.0253 0.012-7.5e-4 0.0383-0.0161 0.041-0.0239 6.8e-4 -2e-3 6e-3 -0.0103 0.0119-0.0186 9e-3 -0.0131 0.0106-0.0139 0.01-7e-3 -9.7e-4 0.0106 0.01 0.0262 0.0279 0.0395 0.0135 0.0101 0.0138 0.0108 0.0121 0.0263-1e-3 9e-3 -3e-3 0.0187-4e-3 0.0222-4e-3 0.0119-9e-3 0.0644-0.0106 0.11841-1e-3 0.0299-4e-3 0.0726-5e-3 0.0948-2e-3 0.0223-5e-3 0.0668-7e-3 0.099s-5e-3 0.0662-7e-3 0.0755c-4e-3 0.018 5e-3 0.0954 0.0128 0.11445 9e-3 0.0207 0.0416 0.0491 0.0857 0.0736 0.0474 0.0264 0.11991 0.0569 0.15166 0.0638 0.0205 4e-3 0.0436 4e-3 0.0502-8.7e-4 5e-3 -4e-3 0.01-0.0128 0.016-0.0315 5e-3 -0.0145 0.0134-0.0324 0.0187-0.0399 5e-3 -7e-3 0.0121-0.0207 0.0151-0.0294 7e-3 -0.0193 8e-3 -0.0665 2e-3 -0.0886-4e-3 -0.0167-0.01-0.0452-0.0109-0.0577-3.7e-4 -4e-3 -3e-3 -0.0183-6e-3 -0.0315s-5e-3 -0.0264-4e-3 -0.0293c1e-3 -3e-3 5.4e-4 -9e-3 -1e-3 -0.0146-5e-3 -0.0173-0.0105-0.0584-8e-3 -0.065 1e-3 -4e-3 1e-3 -0.0151-5e-5 -0.0254-1e-3 -0.0104-2e-3 -0.0274-2e-3 -0.0378 1.3e-4 -0.0104-1e-3 -0.022-3e-3 -0.0258-2e-3 -4e-3 -2e-3 -8e-3 -9.7e-4 -9e-3 2e-3 -2e-3 3e-3 -0.0225 3e-3 -0.0453 1.3e-4 -0.039 1e-3 -0.0702 4e-3 -0.0958 6.8e-4 -6e-3 2e-3 -0.0158 2e-3 -0.0209 8.1e-4 -8e-3 2e-3 -9e-3 0.01-9e-3 5e-3 -1.3e-4 0.0141 2e-3 0.0203 4e-3 7e-3 2e-3 0.0136 3e-3 0.0169 6.9e-4 8e-3 -5e-3 0.0115-0.0362 6e-3 -0.0618-2e-3 -0.0115-4e-3 -0.0254-3e-3 -0.0308 2e-3 -0.0169 1e-3 -0.0285-3e-3 -0.0319-5e-3 -4e-3 -8e-3 -0.0386-5e-3 -0.0483 1e-3 -4e-3 2e-3 -0.0105 1e-3 -0.0146-5.9e-4 -4e-3 6e-3 -0.0317 0.0146-0.0614 0.0335-0.11534 0.0402-0.14385 0.0377-0.16017-4e-3 -0.0235-0.0202-0.0397-0.05-0.0489-0.0109-3e-3 -0.0405 0.01-0.0489 0.0217-6e-3 9e-3 -6e-3 9e-3 -4e-3 -0.0147 1e-3 -0.0131 5e-3 -0.0341 8e-3 -0.0468l6e-3 -0.023 0.01 9e-3c0.0485 0.0471 0.0532 0.047 0.0688-8.8e-4 6e-3 -0.0195 0.0115-0.0311 0.014-0.0317 7e-3 -2e-3 0.0262 0.0182 0.0308 0.031 6e-3 0.0169 4e-3 0.021-0.0101 0.0173l-0.0114-3e-3 6e-3 0.0137c8e-3 0.0165 0.0305 0.0406 0.0541 0.0576 0.0229 0.0164 0.078 0.0374 0.0929 0.0354 0.0181-2e-3 0.0222-0.0119 0.0192-0.0447-2e-3 -0.0274-2e-3 -0.0309 0.011-0.079 8e-3 -0.0277 0.0153-0.0523 0.0173-0.0548 5e-3 -6e-3 0.0153-2e-3 0.0264 0.0105 0.0124 0.0137 0.016 0.0158 0.06 0.0363 0.0214 0.01 0.0559 0.0275 0.0767 0.039 0.0527 0.0291 0.13679 0.0623 0.1778 0.0703 0.0665 0.0129 0.1423 0.01 0.17688-7e-3 0.0192-0.01 0.0295-0.0237 0.0267-0.0367-0.0206-0.093-0.0459-0.24442-0.0425-0.2544 4e-3 -0.013 0.021-0.021 0.053-0.0257 0.0694-0.0101 0.10523-0.0243 0.13196-0.0524 0.0128-0.0135 0.0172-0.0206 0.0227-0.037 9e-3 -0.0259 7e-3 -0.0437-6e-3 -0.0932-6e-3 -0.021-0.0133-0.0521-0.0167-0.0691-6e-3 -0.0316-0.0262-0.20527-0.0385-0.33607l-7e-3 -0.0732 0.0122-5e-3c7e-3 -3e-3 0.0139-5e-3 0.016-6e-3 5e-3 -1e-3 4e-3 -5e-3 -8e-3 -0.1292-0.0189-0.19224-0.0191-0.20706-5e-3 -0.31041 0.0104-0.0787 0.0139-0.1863 8e-3 -0.26243-4e-3 -0.0611-0.0208-0.17509-0.0317-0.22032-4e-3 -0.0168-7e-3 -0.0359-7e-3 -0.0425 5e-5 -7e-3 -2e-3 -0.0198-5e-3 -0.0294-3e-3 -0.01-6e-3 -0.0241-7e-3 -0.0323-9.8e-4 -8e-3 -5e-3 -0.0286-9e-3 -0.0453s-8e-3 -0.0391-9e-3 -0.0498c-2e-3 -0.0138-5e-3 -0.0212-0.01-0.0257-0.01-8e-3 -9e-3 -0.01 4e-3 -0.0124 8e-3 -2e-3 0.0114-4e-3 0.014-0.0115 6e-3 -0.0177 0.0103-0.0604 8e-3 -0.0856-2e-3 -0.0231-9.8e-4 -0.0274 0.01-0.0573 0.0137-0.0389 0.0304-0.0699 0.0756-0.14104 0.031-0.0487 0.0352-0.057 0.0468-0.0907 0.0118-0.0344 0.0127-0.0393 0.0124-0.0685-1.8e-4 -0.0173 2e-3 -0.04 5e-3 -0.0504 4e-3 -0.0162 7e-3 -0.0207 0.0174-0.0301 0.0349-0.0313 0.0482-0.0471 0.0602-0.0719 0.0124-0.0255 0.0216-0.057 0.0229-0.0785 2e-3 -0.028-7e-3 -0.0797-0.0191-0.11219-0.0163-0.0441-0.0421-0.12179-0.0584-0.17534-7e-3 -0.0237-0.0152-0.0489-0.0179-0.0561-5e-3 -0.0128-5e-3 -0.0268-5.6e-4 -0.0506 4e-3 -0.0228-5e-3 -0.0764-0.017-0.1043-0.0117-0.026-0.0364-0.0571-0.0492-0.0618-4e-3 -2e-3 -0.0119-0.0104-0.0189-0.0203-0.0155-5e-3 -0.0297-0.01-0.0447-0.0144l0.0371-0.0793c0.0474-0.10132 0.0628-0.11827 0.0955-0.10533 0.0661 0.0262 0.13409-5e-3 0.18149-0.0837 0.0249-0.0413 0.0575-0.0939 0.0723-0.11691 0.0217-0.0336 0.0195-0.0513-0.0114-0.0908-0.0438-0.0559-0.0458-0.0839-7e-3 -0.0944 0.0186-5e-3 0.0196-9e-3 3e-3 -0.0119-0.0166-3e-3 -9e-3 -0.034 0.0252-0.10107 0.042-0.0824 0.0467-0.10798 0.0324-0.17515-0.0225-0.10532-0.0384-0.12676-0.15754-0.21169-0.0857-0.0611-0.12447-0.075-0.24362-0.0876-0.0308-3e-3 -0.0566-5e-3 -0.0806-6e-3zm-4.0754 0.10246c-3e-3 -1e-3 -8e-3 -8.4e-4 -0.0147 4.8e-4 -0.0248 5e-3 -0.0282 0.0138-0.014 0.0372 0.0106 0.0173 0.0178 0.0184 0.03 4e-3 0.0151-0.0173 0.0159-0.0206 8e-3 -0.0327-3e-3 -5e-3 -6e-3 -8e-3 -9e-3 -9e-3zm-0.10346 8.8e-4c-8e-3 0-0.0159 9.1e-4 -0.0168 2e-3 -9.7e-4 1e-3 -8.2e-4 0.01 3.4e-4 0.0189 2e-3 0.0155 3e-3 0.0169 0.0163 0.0168 0.0153-1.5e-4 0.0299-9e-3 0.0299-0.0176 0-0.0102-0.0146-0.0202-0.0297-0.0202zm0.14945 0.0469c-0.0268 0-0.0326 0.0185-0.0135 0.0436 0.0129 0.0169 0.0264 0.0195 0.0334 6e-3 6e-3 -0.0114 6e-3 -0.0242-5.6e-4 -0.0384-4e-3 -9e-3 -9e-3 -0.0115-0.0194-0.0115zm2.0488 0.10403c2e-3 2.2e-4 4e-3 1e-3 8e-3 3e-3 5e-3 2e-3 0.0163 8e-3 0.0261 0.0127 0.01 5e-3 0.0282 0.0185 0.0408 0.0309 0.0127 0.0124 0.0376 0.0307 0.0554 0.0406 0.0178 0.01 0.0324 0.0207 0.0325 0.0239 6e-5 3e-3 0.0111 0.0108 0.0245 0.0167 0.014 6e-3 0.0256 0.0146 0.0272 0.0196 2e-3 5e-3 8e-3 0.0124 0.015 0.0167 7e-3 4e-3 0.0182 0.0137 0.0255 0.0207 7e-3 7e-3 0.0149 0.013 0.0169 0.0134 2e-3 3.1e-4 5e-3 8.6e-4 7e-3 1e-3 6e-3 1e-3 0.0688 0.0658 0.0688 0.0705 0 2e-3 3e-3 4e-3 7e-3 4e-3s7e-3 2e-3 7e-3 5e-3 4e-3 6e-3 8e-3 8e-3 0.0173 0.0106 0.0288 0.0202c0.0115 0.01 0.0232 0.0173 0.0259 0.0173 3e-3 0 5e-3 2e-3 5e-3 4e-3s7e-3 8e-3 0.0146 0.0119c8e-3 4e-3 0.0195 0.0123 0.0254 0.0181 6e-3 6e-3 0.0125 9e-3 0.0147 8e-3 2e-3 -1e-3 4e-3 8.3e-4 4e-3 5e-3 0 4e-3 2e-3 6e-3 5e-3 5e-3 2e-3 -2e-3 5e-3 -7.3e-4 5e-3 2e-3 0 7e-3 0.024 0.0275 0.0327 0.0275 4e-3 0 8e-3 3e-3 8e-3 6e-3 0 3e-5 1.3e-4 1.8e-4 1.3e-4 2.2e-4 -2e-3 1e-3 -4e-3 2e-3 -6e-3 1e-3 -0.0185-2e-3 -0.0196 4e-3 -4e-3 0.0233 0.016 0.0204 0.0366 0.0246 0.0595 0.0137 8e-3 0.0178 0.0491 0.0496 0.0599 0.0429 3e-3 -2e-3 4e-3 -1e-3 2e-3 1e-3s2e-3 9e-3 8e-3 0.015 0.0111 9e-3 0.0111 7e-3 3e-3 -1.6e-4 6e-3 4e-3c3e-3 5e-3 8e-3 7e-3 0.0113 5e-3 3e-3 -2e-3 5e-3 -5.9e-4 5e-3 3e-3 0 8e-3 0.0187 0.024 0.0259 0.0224 3e-3 -6.8e-4 6e-3 2e-3 6e-3 6e-3 0 5e-3 2e-3 7e-3 7e-3 5e-3 4e-3 -1e-3 7e-3 -5.1e-4 7e-3 2e-3 0 3e-3 2e-3 3e-3 4e-3 2e-3 2e-3 -2e-3 3e-3 -1.2e-4 2e-3 3e-3 -1e-3 3e-3 3e-3 8e-3 0.0108 0.0117 7e-3 3e-3 0.0177 0.01 0.0233 0.0147 6e-3 5e-3 0.0141 9e-3 0.0188 9e-3 5e-3 0 7e-3 2e-3 6e-3 4e-3s4e-3 9e-3 0.0121 0.0158c8e-3 6e-3 0.0177 0.0145 0.0214 0.0178 4e-3 3e-3 0.0149 0.0113 0.0248 0.0177 0.01 6e-3 0.0244 0.0173 0.0323 0.0243 8e-3 7e-3 0.0186 0.0157 0.0241 0.0194 5e-3 4e-3 0.0145 0.0108 0.0201 0.0158 6e-3 5e-3 0.0147 0.0121 0.0202 0.0158 5e-3 4e-3 0.0172 0.0134 0.026 0.0214 9e-3 8e-3 0.0179 0.0147 0.0201 0.0147 2e-3 0 0.0219 0.0178 0.0438 0.0395 0.0394 0.0391 0.0682 0.0627 0.0978 0.08 8e-3 5e-3 0.0291 0.0184 0.0459 0.0299 6e-3 4e-3 0.01 6e-3 0.0159 0.01-4e-3 7e-3 -0.0105 0.0207-0.0156 0.0312-0.01-6e-3 -0.0287-0.0188-0.0312-0.0203-7e-3 -4e-3 -0.0238-0.0178-0.0383-0.0306-0.0146-0.0128-0.0529-0.0407-0.0851-0.0619-0.0322-0.0213-0.0705-0.0494-0.085-0.0624-0.0145-0.0131-0.0328-0.027-0.0406-0.0309-0.0352-0.0178-0.0756-0.0423-0.0988-0.0598-0.0139-0.0105-0.0327-0.0233-0.0419-0.0284-9e-3 -5e-3 -0.0197-0.0123-0.0232-0.0159-4e-3 -4e-3 -8e-3 -7e-3 -0.0104-7e-3 -2e-3 0-0.0248-0.0158-0.0504-0.0351-0.0719-0.0542-0.10606-0.0775-0.10915-0.0744-2e-3 2e-3 -3e-3 5.5e-4 -3e-3 -2e-3 0-3e-3 -9e-3 -0.0122-0.0209-0.021-0.0115-9e-3 -0.0516-0.0452-0.0891-0.081s-0.0824-0.0768-0.0998-0.0912-0.0488-0.0416-0.0699-0.0604-0.0495-0.0435-0.0632-0.0548c-0.0137-0.0114-0.04-0.0367-0.0585-0.0562-0.0594-0.0628-0.13527-0.13637-0.15594-0.15122-0.01-7e-3 -0.016-0.0126-0.0176-0.0153-8.1e-4 -1e-3 -4.9e-4 -2e-3 1e-3 -2e-3zm-2.0244 0.0178c3e-3 0 5e-3 2e-3 5e-3 5e-3 0 2e-3 -8.9e-4 5e-3 -2e-3 5e-3 -1e-3 0-3e-3 -2e-3 -5e-3 -5e-3 -2e-3 -2e-3 -6.4e-4 -5e-3 2e-3 -5e-3zm0.64508 0.19246c-4e-3 -8.1e-4 -9e-3 -6.5e-4 -0.0147 7.4e-4 -9e-3 2e-3 -0.0213 0.0227-0.0213 0.0349 0 0.0113 0.0268 5e-3 0.0393-9e-3 0.0113-0.0128 8e-3 -0.0239-3e-3 -0.0263zm-0.0853 7e-3c-1e-3 -3e-4 -3e-3 2e-4 -4e-3 2e-3 -2e-3 3e-3 -7e-3 6e-3 -0.0122 7e-3 -0.01 2e-3 -0.0175 0.0267-0.0132 0.0411 2e-3 6e-3 4e-3 7e-3 0.0107 3e-3 0.0115-6e-3 0.0271-0.0267 0.027-0.0356-8e-5 -9e-3 -5e-3 -0.0165-9e-3 -0.0174zm-0.12341 0.0191c-3e-3 5.6e-4 -7e-3 2e-3 -0.0129 6e-3l-0.0138 9e-3 0.0105 7e-3c0.0125 9e-3 0.0227 9e-3 0.0301 2e-3 8e-3 -8e-3 7e-3 -0.0162-4e-3 -0.0218-4e-3 -2e-3 -7e-3 -3e-3 -0.0102-2e-3zm0.27919 0.0118c-3e-3 -9e-5 -6e-3 3.6e-4 -0.0104 1e-3 -0.0297 5e-3 -0.0367 0.022-0.0181 0.0446 0.0121 0.0147 0.0226 0.0157 0.0351 3e-3 7e-3 -7e-3 9e-3 -0.0125 6e-3 -0.0259-3e-3 -0.0177-5e-3 -0.0228-0.0127-0.023zm0.39772 6e-3c-4e-3 2.5e-4 -0.0118 3e-3 -0.0249 8e-3 -0.01 4e-3 -0.0137 0.017-7e-3 0.0236 2e-3 2e-3 9e-3 3e-3 0.0153 3e-3 0.0137 0 0.0262-0.0152 0.0233-0.0284-8.9e-4 -4e-3 -2e-3 -6e-3 -7e-3 -6e-3zm-0.32985 0.0275c-5e-3 2e-3 -0.0133 5e-3 -0.0254 0.0112-5e-3 2e-3 -7e-3 0.0108-7e-3 0.0299 0 0.0146 6.3e-4 0.0281 1e-3 0.0299 6e-3 0.0139 0.0634-0.0108 0.0645-0.0277 2.7e-4 -4e-3 1e-3 -0.0139 2e-3 -0.022 7.1e-4 -8e-3 -9.6e-4 -0.0149-4e-3 -0.0153-3e-3 -3.8e-4 -7e-3 -9.4e-4 -0.01-1e-3 -2e-3 -3.1e-4 -7e-3 -2e-3 -0.0106-4e-3 -3e-3 -2e-3 -6e-3 -2e-3 -0.0113-4.6e-4zm-0.49907 0.0316c-2e-3 2e-3 -4e-3 8e-3 -4e-3 0.0135 0 6e-3 -2e-3 0.012-5e-3 0.0135-3e-3 2e-3 -4e-3 0.0221-4e-3 0.0465 9e-5 0.0492 0.01 0.0935 0.0285 0.13041 7e-3 0.0129 0.012 0.0263 0.012 0.0297 0 3e-3 4e-3 0.01 9e-3 0.0144 5e-3 4e-3 9e-3 0.0125 9e-3 0.0177 0 5e-3 6e-3 0.0207 0.0135 0.0342 7e-3 0.0136 0.0154 0.0291 0.0177 0.0343 2e-3 5e-3 0.0148 0.0185 0.0277 0.0293s0.0312 0.0306 0.0408 0.0439c0.0277 0.0386 0.11151 0.12237 0.12248 0.12237 2e-3 0 0.01 6e-3 0.0173 0.0132 7e-3 7e-3 0.0173 0.0145 0.0222 0.0161 5e-3 2e-3 9e-3 5e-3 9e-3 7e-3s5e-3 5e-3 0.0113 7e-3c6e-3 2e-3 0.0113 5e-3 0.0113 7e-3 0 6e-3 0.0394 0.0284 0.0445 0.0253 2e-3 -1e-3 5e-3 2.6e-4 7e-3 4e-3 1e-3 3e-3 0.0102 9e-3 0.0196 0.0119 9e-3 3e-3 0.0314 0.0132 0.0488 0.0224 0.0174 9e-3 0.0387 0.0183 0.0474 0.02 9e-3 2e-3 0.0259 6e-3 0.0383 0.01 0.0222 7e-3 0.0332 0.0112 0.0843 0.0349 0.0141 7e-3 0.0278 0.0119 0.0303 0.0119 3e-3 0 0.0113 4e-3 0.0195 8e-3 0.0138 8e-3 0.0679 0.0289 0.0779 0.0307 9e-3 2e-3 0.0497 0.0159 0.0637 0.0222 8e-3 4e-3 0.0287 8e-3 0.0465 0.011s0.0383 8e-3 0.0455 0.0113c7e-3 4e-3 0.0168 7e-3 0.0214 7e-3 5e-3 0 0.0107 2e-3 0.0136 5e-3 4e-3 4e-3 7e-3 4e-3 0.0121-4.4e-4 6e-3 -5e-3 8e-3 -4e-3 0.014 2e-3 4e-3 4e-3 0.0126 8e-3 0.0193 0.01 7e-3 1e-3 0.0182 5e-3 0.0256 9e-3 7e-3 3e-3 0.0237 9e-3 0.0361 0.0125 0.0765 0.0224 0.15177 0.0719 0.19976 0.1314 7e-3 9e-3 0.014 9e-3 0.0171 1e-3 1e-3 -4e-3 7e-3 -5e-3 0.014-4e-3 0.0114 2e-3 0.0117 2e-3 9e-3 -0.0178-2e-3 -0.0162-0.028-0.0813-0.0492-0.12221-3e-3 -5e-3 -2e-3 -8e-3 4.7e-4 -8e-3 6e-3 0 6e-3 -0.0167-4.2e-4 -0.0206-0.0111-7e-3 -0.0176-0.0354-0.0198-0.0866-2e-3 -0.0352-5e-3 -0.0621-0.0107-0.0781-5e-3 -0.0134-0.01-0.0366-0.0116-0.0515-3e-3 -0.026-0.0176-0.0645-0.0265-0.0705-2e-3 -2e-3 -3e-3 -5e-3 -1e-3 -8e-3s-1.5e-4 -6e-3 -4e-3 -9e-3c-4e-3 -2e-3 -8e-3 -0.0124-9e-3 -0.024-5e-3 -0.0556-0.0745-0.15443-0.14375-0.20564-0.0152-0.0112-0.029-0.0182-0.0329-0.0167-4e-3 2e-3 -6e-3 3.1e-4 -5e-3 -3e-3 2e-3 -8e-3 -0.0428-0.0332-0.0911-0.0526-0.0737-0.0296-0.16919-0.049-0.22539-0.0458-0.015 8.4e-4 -0.0272 1e-5 -0.0272-2e-3 2e-5 -8e-3 -0.11832 3.7e-4 -0.23453 0.0175-0.0608 9e-3 -0.17442 0.01-0.22798 2e-3 -0.0197-3e-3 -0.048-0.01-0.0629-0.0155-0.0248-9e-3 -0.0283-0.0123-0.0422-0.0367-0.0131-0.023-0.0148-0.0295-0.0126-0.048 2e-3 -0.0181 1e-3 -0.0221-6e-3 -0.0261-8e-3 -4e-3 -9e-3 -3e-3 -9e-3 7e-3s-1e-3 0.011-6e-3 7e-3c-3e-3 -3e-3 -8e-3 -0.0118-9e-3 -0.0197-4e-3 -0.0187-0.0196-0.0451-0.0253-0.0415zm0.59235 0.0129c-8e-3 -7.2e-4 -0.0157 3e-3 -0.0236 0.0108-9e-3 9e-3 -0.0126 0.0162-0.0109 0.023 1e-3 5e-3 4e-3 0.01 5e-3 0.01 2e-3 0 0.01 6e-3 0.0183 0.0133 0.0173 0.0148 0.0243 0.0135 0.0405-7e-3 0.0122-0.0156 0.0118-0.0202-3e-3 -0.0343-0.01-9e-3 -0.0186-0.0146-0.0267-0.0153zm2.049 0.019c0.0102 7e-3 0.0206 0.0139 0.0313 0.0221l0.0866 0.066-0.0193 0.01c-0.0227-0.0228-0.0476-0.0481-0.0564-0.0577-9e-3 -0.0101-0.0265-0.0257-0.0423-0.0402zm-1.1013 2e-3c1e-3 0 4e-3 4e-3 7e-3 9e-3s4e-3 9e-3 3e-3 9e-3 -4e-3 -4e-3 -7e-3 -9e-3 -4e-3 -9e-3 -3e-3 -9e-3zm0.0152 0.0254c2e-3 -1e-3 6e-3 2e-3 9e-3 9e-3 3e-3 6e-3 7e-3 0.0111 0.01 0.0111s5e-3 3e-3 5e-3 7e-3 7e-3 0.0131 0.0158 0.021c9e-3 8e-3 0.0158 0.0171 0.0158 0.0204 0 3e-3 3e-3 6e-3 7e-3 6e-3s8e-3 3e-3 0.01 7e-3c1e-3 4e-3 6e-3 6e-3 0.01 6e-3 5e-3 -7.7e-4 7e-3 2e-3 7e-3 8e-3 5e-5 5e-3 2e-3 9e-3 5e-3 8e-3 3e-3 -5.3e-4 6e-3 4e-3 8e-3 0.0106 2e-3 6e-3 7e-3 0.018 0.0128 0.0258 5e-3 8e-3 0.0106 0.0152 0.0113 0.0163 7.6e-4 1e-3 3e-3 -8.7e-4 6e-3 -5e-3 4e-3 -6e-3 4e-3 -5e-3 4e-3 1e-3 3e-5 4e-3 2e-3 8e-3 5e-3 8e-3 2e-3 0 4e-3 2e-3 4e-3 3e-3 -2e-3 0.01 3e-3 0.0166 0.0256 0.0437 0.0148 0.0174 0.0286 0.0296 0.0337 0.0296 5e-3 0 0.01 4e-3 0.0114 0.0111 2e-3 6e-3 7e-3 0.0123 0.0113 0.0138 5e-3 2e-3 9e-3 6e-3 9e-3 0.0103 0 4e-3 9e-3 0.0147 0.0198 0.0234 0.0109 9e-3 0.0244 0.0225 0.03 0.0306 6e-3 9e-3 0.0128 0.0139 0.0165 0.0125 3e-3 -1e-3 5e-3 -6.9e-4 4e-3 1e-3 -1e-3 2e-3 3e-3 9e-3 9e-3 0.0143 6e-3 6e-3 0.0111 8e-3 0.0111 5e-3s2e-3 -4e-3 4e-3 -3e-3 3e-3 5e-3 2e-3 8e-3c-3e-3 7e-3 0.0509 0.0556 0.0584 0.0533 3e-3 -8.3e-4 4e-3 0 2e-3 2e-3 -5e-3 5e-3 5e-3 0.0154 0.0154 0.0154 5e-3 0 7e-3 2e-3 6e-3 5e-3 -2e-3 3e-3 8.8e-4 6e-3 5e-3 8e-3 9e-3 4e-3 0.0101 4e-3 0.0352 0.026 0.0122 0.0106 0.021 0.0149 0.0271 0.0132 6e-3 -2e-3 7e-3 -1e-3 4e-3 1e-3 -4e-3 3e-3 6.6e-4 8e-3 0.015 0.0195 0.0113 9e-3 0.0238 0.0192 0.0279 0.0235 4e-3 4e-3 0.01 8e-3 0.0132 8e-3 3e-3 0 0.01 4e-3 0.0152 9e-3 0.0138 0.0138 0.11341 0.0807 0.12013 0.0807 3e-3 0 6e-3 2e-3 6e-3 4e-3s3e-3 5e-3 7e-3 7e-3 6e-3 7.8e-4 4e-3 -2e-3c-2e-3 -2e-3 -6.1e-4 -4e-3 2e-3 -4e-3 3e-3 0 5e-3 3e-3 5e-3 7e-3 0 6e-3 0.0247 0.0189 0.0327 0.0165 2e-3 -5.4e-4 3e-3 2e-3 3e-3 5e-3 0 8e-3 0.0172 0.018 0.0234 0.0141 3e-3 -2e-3 4e-3 -1e-3 2e-3 2e-3s-4.3e-4 5e-3 3e-3 5e-3c4e-3 0 8e-3 -3e-3 9e-3 -6e-3s1e-3 -2e-3 8.4e-4 2e-3c-1e-3 8e-3 6e-3 0.0127 0.0208 0.0127 5e-3 0 9e-3 2e-3 9e-3 4e-3 0 7e-3 0.0588 0.0365 0.088 0.0443 5e-3 1e-3 0.0154 5e-3 0.0232 9e-3 8e-3 3e-3 0.0174 6e-3 0.0213 6e-3 4e-3 0 0.014 4e-3 0.0226 9e-3 9e-3 5e-3 0.0167 7e-3 0.0181 6e-3 1e-3 -1e-3 0.013 3e-3 0.0255 0.01 0.0126 7e-3 0.024 0.0113 0.0254 0.01 1e-3 -1e-3 7e-3 -3.2e-4 0.0118 2e-3 0.0148 8e-3 0.0937 0.0263 0.11587 0.0269 0.0112 3.4e-4 0.0238 2e-3 0.0282 5e-3 4e-3 2e-3 0.0313 5e-3 0.0587 7e-3 -8e-3 0.0136-0.0177 0.0262-0.0281 0.0384-0.0498-7e-3 -0.0946-0.0162-0.1264-0.0256-0.0231-7e-3 -0.0795-0.0206-0.0912-0.0223-4e-3 -6.1e-4 -9e-3 -3e-3 -0.0109-4e-3 -2e-3 -2e-3 -8e-3 -3e-3 -0.0147-3e-3 -6e-3 0-0.0471-0.0113-0.0906-0.0251-0.0816-0.0259-0.0927-0.0299-0.11441-0.0407-7e-3 -4e-3 -0.0144-5e-3 -0.0164-4e-3s-5e-3 -4.9e-4 -6e-3 -4e-3c-1e-3 -3e-3 -8e-3 -7e-3 -0.0155-9e-3 -0.0237-5e-3 -0.12648-0.0568-0.15091-0.0764-0.0131-0.0105-0.036-0.0282-0.0509-0.0392-0.0326-0.0241-0.1-0.0808-0.12814-0.1078-0.0112-0.0108-0.0266-0.0238-0.0341-0.029-0.0246-0.017-0.1029-0.0861-0.13063-0.1153-0.0234-0.0246-0.0828-0.10751-0.11369-0.15866-5e-3 -9e-3 -0.021-0.0338-0.0349-0.0557-0.014-0.022-0.0254-0.0409-0.0254-0.0421 0-1e-3 -7e-3 -0.0126-0.0152-0.0254-8e-3 -0.0128-0.0208-0.0335-0.0275-0.0459-7e-3 -0.0124-0.0142-0.0249-0.0166-0.0278-3e-3 -3e-3 -3e-3 -6e-3 -1.9e-4 -8e-3zm-0.17954 0.0468c2e-3 0 5e-3 9e-4 5e-3 2e-3 0 1e-3 -2e-3 3e-3 -5e-3 5e-3 -2e-3 2e-3 -5e-3 6.4e-4 -5e-3 -2e-3 0-3e-3 2e-3 -5e-3 5e-3 -5e-3zm1.5054 0.17944c3.1e-4 0 4.2e-4 1e-5 7.4e-4 1e-5 0.0505-6.3e-4 0.12112 0.017 0.1782 0.0445 0.11812 0.057 0.24534 0.0733 0.34693 0.0447 0.0977-0.0276 0.1012-0.027 0.0961 0.0149-2e-3 0.0189-0.0462 0.0656-0.0977 0.10389l-0.011 8e-3c-0.11075-0.0129-0.2139-6e-3 -0.31903 0.0317-0.0272-0.0343-0.0683-0.0865-0.11399-0.14564-0.0147-0.019-0.0317-0.0419-0.0378-0.051-6e-3 -9e-3 -0.0237-0.0293-0.0426-0.0513zm-3.7199 0.0498 3e-3 0.0151c2e-3 8e-3 3e-3 0.0171 3e-3 0.0196 3e-4 2e-3 6e-3 7e-3 0.0118 0.01 0.0234 0.0113 0.0422 2e-3 0.023-0.0119-6e-3 -4e-3 -0.017-0.0129-0.0255-0.0199zm-0.11327 9e-3c-8e-3 2e-3 -8e-3 3e-3 -1e-3 0.0108 8e-3 9e-3 0.0288 0.0118 0.0288 4e-3 0-7e-3 -0.0183-0.0174-0.0275-0.015zm0.70339 6e-3c-0.0255 0-0.0489 7e-3 -0.0489 0.0143 0 2e-3 -4e-3 4e-3 -8e-3 4e-3 -5e-3 0-0.0118 5e-3 -0.0158 0.0111-4e-3 6e-3 -0.0118 0.0154-0.0174 0.0206-8e-3 8e-3 -0.0101 0.0139-0.01 0.035 3.4e-4 0.0142 3e-3 0.0262 6e-3 0.0272 3e-3 9.2e-4 5e-3 5e-3 5e-3 9e-3 0 8e-3 0.0332 0.0464 0.0471 0.0537 5e-3 3e-3 0.0196 5e-3 0.0329 5e-3 0.0228 2.7e-4 0.0253-8.7e-4 0.0465-0.0213 0.0123-0.0119 0.0224-0.0204 0.0225-0.019 1e-4 1e-3 3e-3 -4e-3 7e-3 -0.0126 4e-3 -8e-3 7e-3 -0.0249 7e-3 -0.0368s2e-3 -0.0224 5e-3 -0.0233c6e-3 -2e-3 -2e-3 -0.0262-9e-3 -0.0262-3e-3 0-5e-3 -3e-3 -5e-3 -6e-3 0-4e-3 -9e-3 -0.0126-0.0189-0.0203-0.016-0.0118-0.023-0.0139-0.0449-0.0139zm-0.19553 6e-3c-4e-3 -1e-3 -9e-3 -9.6e-4 -0.0153 1.8e-4 -9e-3 2e-3 -0.0273 4e-3 -0.0408 6e-3 -0.0215 3e-3 -0.0268 6e-3 -0.044 0.0251-0.0199 0.022-0.0225 0.0314-0.0168 0.0602 1e-3 7e-3 8e-3 0.0197 0.0151 0.0272 0.0115 0.0126 0.0143 0.0134 0.0385 0.012 0.0336-2e-3 0.0519-6e-3 0.0519-0.0117 0-2e-3 2e-3 -3e-3 4e-3 -2e-3 8e-3 5e-3 0.0436-0.0118 0.0542-0.0252 9e-3 -0.0112 0.01-0.0144 5e-3 -0.0177-5e-3 -3e-3 -4e-3 -4e-3 3e-3 -4e-3 0.0164-1.2e-4 0.011-0.0178-0.011-0.0356-0.0111-9e-3 -0.0251-0.0211-0.0312-0.0269-4e-3 -4e-3 -8e-3 -7e-3 -0.0121-8e-3zm-0.26384 0.0317c-0.0229 2e-3 -0.0317 7e-3 -0.0364 0.0193-0.0104 0.0273 3e-3 0.0529 0.032 0.0601 0.0213 5e-3 0.0457 3e-3 0.0663-8e-3 0.0144-7e-3 0.0173-0.0108 0.0184-0.0244 1e-3 -0.0144-3.5e-4 -0.017-0.0147-0.0247-9e-3 -5e-3 -0.016-0.0101-0.016-0.0119 0-5e-3 -0.0325-0.0124-0.0496-0.0107zm2.9201 0.6116c1e-3 0 3e-3 2e-3 5e-3 5e-3 2e-3 2e-3 6.5e-4 5e-3 -2e-3 5e-3 -3e-3 0-5e-3 -2e-3 -5e-3 -5e-3 0-2e-3 8.9e-4 -5e-3 2e-3 -5e-3zm0.0125 2.3e-4c5.6e-4 -8e-5 1e-3 7.2e-4 3e-3 2e-3 2e-3 3e-3 7e-3 7e-3 0.0123 0.01 5e-3 3e-3 7e-3 5e-3 5e-3 5e-3 -8e-3 0-0.0203-9e-3 -0.0202-0.0146 2e-5 -2e-3 3e-4 -3e-3 8.5e-4 -3e-3zm-2.7223 0.054c-7e-3 -4e-5 -0.0208 2e-3 -0.0304 5e-3 -0.0138 4e-3 -0.0174 7e-3 -0.0174 0.0158 0 0.0163 0.0208 0.0137 0.0428-5e-3l0.0181-0.0155zm0.45778 0.0279c-0.0161 2e-3 -0.0276 8e-3 -0.0276 0.0159 0 3e-3 -2e-3 5e-3 -5e-3 3e-3 -9e-3 -5e-3 -4e-3 0.0207 6e-3 0.0347 0.0223 0.0309 0.0454 0.0495 0.0742 0.0595 0.011 4e-3 0.0208 5e-3 0.0276 2e-3 6e-3 -2e-3 0.0161-4e-3 0.0231-4e-3 0.0157 0 0.0262-0.0108 0.0189-0.0196-3e-3 -3e-3 -4e-3 -7e-3 -2e-3 -9e-3 8e-3 -8e-3 -0.0177-0.0404-0.0536-0.0662-0.0151-0.0108-0.0274-0.0157-0.044-0.0173-6e-3 -5.9e-4 -0.012-5.8e-4 -0.0174-7e-5zm-0.40531 6e-3c-0.0118 3e-3 -0.0116 3e-3 -5e-3 0.017 3e-3 6e-3 0.0114 0.0145 0.0192 0.0184 0.01 5e-3 0.0201 6e-3 0.0343 4e-3 0.0112-2e-3 0.0249-3e-3 0.0304-3e-3 0.0122-1.6e-4 0.0128-4e-3 2e-3 -0.0162-9e-3 -0.0104-0.0658-0.0249-0.0812-0.0208zm-0.14907 0.0118c-7e-3 -2e-3 -0.0373 0.0174-0.0344 0.0219 5e-3 8e-3 0.0195 4e-3 0.029-8e-3 5e-3 -7e-3 8e-3 -0.0129 5e-3 -0.0137zm-0.0545 0.0125c-2e-3 0-6e-3 2e-3 -7e-3 5e-3 -2e-3 2e-3 -7.6e-4 5e-3 2e-3 5e-3 2e-3 0 6e-3 -2e-3 7e-3 -5e-3 2e-3 -2e-3 7.6e-4 -5e-3 -2e-3 -5e-3zm0.31092 0.041c-2e-3 4.1e-4 -5e-3 3e-3 -8e-3 9e-3 -7e-3 0.0113-5e-4 0.0358 0.0145 0.0541 8e-3 0.01 0.0119 0.0111 0.0231 9e-3 0.0192-4e-3 0.0337-0.0128 0.0337-0.0197 0-9e-3 -0.0354-0.0389-0.0456-0.0389-5e-3 0-0.01-3e-3 -0.0114-7e-3 -2e-3 -5e-3 -4e-3 -7e-3 -6e-3 -6e-3zm0.20672 0.0232c-4e-3 1e-3 -7e-3 4e-3 -0.0101 8e-3 -4e-3 6e-3 -7e-3 0.0178-7e-3 0.0266 0 0.0134 4e-3 0.0199 0.0237 0.0394 0.013 0.0128 0.0288 0.0253 0.0349 0.0278 0.0152 6e-3 0.0349 6e-3 0.0385 2e-4 2e-3 -3e-3 6e-3 -4e-3 0.01-2e-3 7e-3 3e-3 0.0419-5e-3 0.0419-9e-3 0-6e-3 -0.0299-0.0462-0.0445-0.0596-0.0227-0.0208-0.0365-0.0273-0.0649-0.0306-0.0112-1e-3 -0.0175-2e-3 -0.0218-7.5e-4zm-0.10844 0.0431c-0.0132 1.5e-4 -0.0173 5e-3 -0.0174 0.0165-6e-5 8e-3 -8.4e-4 8e-3 -4e-3 2e-3 -3e-3 -5e-3 -4e-3 -5e-3 -4e-3 -5.9e-4 -1.4e-4 0.013 0.0507 0.067 0.0652 0.0693 0.0173 3e-3 0.0227 3e-3 0.0396-2e-3 0.0238-6e-3 0.022-0.0198-7e-3 -0.0535-0.0199-0.023-0.0279-0.0275-0.0551-0.0312-7e-3 -9e-4 -0.012-1e-3 -0.0164-1e-3zm0.87788 0.0166c7.6e-4 3.1e-4 8.2e-4 1e-3 3e-5 2e-3 -2e-3 2e-3 -5e-3 4e-3 -7e-3 4e-3 -6e-3 1e-5 -5e-3 -3e-3 3e-3 -6e-3 2e-3 -7.7e-4 3e-3 -9.7e-4 4e-3 -6.5e-4zm-0.24832 0.20847-0.017 0.0149c-0.0195 0.0171-0.0297 0.0344-0.0373 0.0629-6e-3 0.0223-7.2e-4 0.0419 0.0101 0.0378 4e-3 -1e-3 6e-3 5.7e-4 6e-3 5e-3 0 8e-3 0.0114 0.01 0.0159 3e-3 2e-3 -3e-3 5e-3 -3e-3 9e-3 5.8e-4 5e-3 4e-3 8e-3 3e-3 0.0165-7e-3 0.0177-0.0223 0.0186-0.0614 2e-3 -0.1014zm-0.11239 0.0317c-2e-3 9.2e-4 -5e-3 5e-3 -0.0113 0.0126-7e-3 9e-3 -0.0135 0.0193-0.0136 0.022-1e-5 3e-3 -3e-3 0.0103-6e-3 0.0168-3e-3 6e-3 -8e-3 0.0236-9e-3 0.0381-3e-3 0.0234-3e-3 0.0257 4e-3 0.0206 5e-3 -4e-3 9e-3 -5e-3 0.0162-7.6e-4 7e-3 4e-3 9e-3 4e-3 9e-3 -4.4e-4 0-3e-3 1e-3 -4e-3 3e-3 -2e-3 5e-3 5e-3 0.0151-6e-3 0.0151-0.0152 0-4e-3 4e-3 -9e-3 9e-3 -0.0109 0.014-4e-3 0.0179-0.0312 9e-3 -0.0626-5e-3 -0.0168-5e-3 -0.0171-0.0135-9e-3 -8e-3 8e-3 -9e-3 7e-3 -9e-3 -2e-3 0-5e-3 -3.4e-4 -7e-3 -2e-3 -6e-3zm0.19931 0.0223c-7.4e-4 -1.6e-4 -2e-3 2e-4 -3e-3 9.6e-4 -8e-3 5e-3 -0.0226 0.0235-0.0226 0.0315 0 5e-3 -5e-3 0.0108-0.0107 0.0139-9e-3 5e-3 -0.0104 8e-3 -8e-3 0.0267 1e-3 0.0115 4e-3 0.0216 6e-3 0.0223 2e-3 7.4e-4 2e-3 5e-3 1e-3 0.0102-1e-3 5e-3 -3e-5 9e-3 3e-3 9e-3 3e-3 0 5e-3 3e-3 5e-3 6e-3 0 4e-3 4e-3 7e-3 8e-3 9e-3 0.0157 4e-3 0.0191 3e-3 0.037-0.0142 0.0162-0.0155 0.0182-0.0197 0.0182-0.0385 0-0.0216-0.0115-0.0504-0.0245-0.0611-4e-3 -3e-3 -7e-3 -9e-3 -7e-3 -0.0132-2e-5 -1e-3 -4.6e-4 -2e-3 -1e-3 -2e-3zm-0.46208 0.0107c-7e-3 2.8e-4 -0.0198 0.0229-0.0223 0.0383-2e-3 0.0101-7.5e-4 0.0157 3e-3 0.0157 3e-3 0 5e-3 -3e-3 5e-3 -7e-3s4e-3 -7e-3 9e-3 -7e-3c8e-3 0 9e-3 -3e-3 9e-3 -0.0203 0-0.0112-2e-3 -0.0202-3e-3 -0.0202zm0.0654 0.0153c-1e-3 -1e-3 -7e-3 -2.1e-4 -0.0136 2e-3 -0.0125 5e-3 -0.0208 0.0246-0.0202 0.0485 3.4e-4 0.0141 5e-4 0.0142 0.0107 7e-3 6e-3 -4e-3 0.0104-0.0111 0.0105-0.0154 8e-5 -4e-3 2e-3 -8e-3 4e-3 -8e-3 5e-3 0 0.0118-0.0305 8e-3 -0.0342zm-0.12717 9e-3c-1e-3 7.8e-4 -3e-3 6e-3 -8e-3 0.015-5e-3 0.011-8e-3 0.0228-6e-3 0.0271 3e-3 6e-3 4e-3 5e-3 9e-3 -6e-3 3e-3 -7e-3 6e-3 -0.0196 6e-3 -0.0271-8e-5 -7e-3 -2e-4 -0.01-1e-3 -9e-3zm0.18577 0.0131c-3e-3 -3e-3 -0.0305 0.0131-0.0305 0.0178-1e-5 3e-3 -4e-3 0.0122-0.01 0.0209-0.0113 0.0181-0.0138 0.0271-7e-3 0.0271 2e-3 0 3e-3 2e-3 2e-3 4e-3s0 5e-3 3e-3 6e-3c0.0112 5e-3 0.0148 3e-3 0.0231-0.0117 8e-3 -0.0139 0.0226-0.0618 0.0198-0.0646zm-0.25278 9e-3c-8.2e-4 -3.1e-4 -2e-3 -1.2e-4 -3e-3 6.5e-4 -2e-3 2e-3 -5e-3 5e-3 -5e-3 7e-3s2e-3 3e-3 5e-3 2e-3c2e-3 -2e-3 5e-3 -5e-3 5e-3 -7e-3 0-1e-3 -5e-4 -2e-3 -1e-3 -2e-3zm0.30905 6.5e-4 -9e-3 0.0113c-0.0133 0.0175-0.0195 0.0349-0.0195 0.0549 0 0.0158 9.4e-4 0.0176 7e-3 0.0128 6e-3 -5e-3 7e-3 -4e-3 7e-3 3e-3 1.5e-4 7e-3 3e-3 5e-3 0.0131-7e-3 0.0117-0.0137 0.0228-0.0434 0.0228-0.0613 0-0.0115-9e-3 -8e-3 -0.0137 5e-3 -0.0105 0.0292-0.0134 0.0307-0.0106 6e-3zm0.63608 0.58131c2.5e-4 -5.9e-4 2e-3 -1.6e-4 5e-3 1e-3 4e-3 2e-3 7e-3 5e-3 7e-3 7e-3 0 6e-3 -3e-3 5e-3 -9e-3 -3e-3 -2e-3 -3e-3 -4e-3 -4e-3 -3e-3 -5e-3zm1.7319 1.6706c2e-3 -1e-3 3e-3 3e-3 4e-3 0.0183 9.2e-4 0.0118 3e-3 0.0399 6e-3 0.0625 2e-3 0.0225 3e-3 0.0426 3e-3 0.0445-6.6e-4 2e-3 -0.0122 7e-3 -0.0257 0.0111-0.0142 4e-3 -0.0298 0.0121-0.0372 0.0184-7e-3 6e-3 -0.0138 0.0105-0.0151 0.0101-1e-3 -4.1e-4 -2e-3 -5e-3 -3e-3 -0.0104-1.9e-4 -5e-3 -9.7e-4 -0.0201-2e-3 -0.0328-1e-3 -0.0231 3e-3 -0.0547 7e-3 -0.0531 1e-3 4.5e-4 6e-3 9e-3 0.01 0.0192s9e-3 0.019 0.0111 0.0197c9e-3 3e-3 0.0375-0.0422 0.0339-0.0545-8.1e-4 -3e-3 -1e-3 -0.0138-9.8e-4 -0.0245 3.9e-4 -0.0151 2e-3 -0.0209 6e-3 -0.0256l3e-3 -3e-3zm0.29869 0.2095c1e-3 5.2e-4 1e-3 2e-3 7.3e-4 3e-3 -8.3e-4 2e-3 -4e-3 4e-3 -7e-3 5e-3 -3e-3 8e-5 -6e-3 4e-3 -8e-3 8e-3s-5e-3 0.0105-9e-3 0.0134c-6e-3 5e-3 -6e-3 5e-3 -4e-3 -4e-3 1e-3 -5e-3 5e-3 -0.0127 9e-3 -0.0169 6e-3 -7e-3 0.0146-0.0105 0.0176-9e-3zm-0.34306 0.10352c3e-3 -1e-3 0.0112 0.0128 0.01 0.0169-2e-3 5e-3 -6e-3 1e-3 -9e-3 -7e-3 -2e-3 -5e-3 -2e-3 -9e-3 -6.1e-4 -9e-3zm0.0219 0.0868c4e-3 1e-3 6e-3 0.0517 3e-3 0.0616-2e-3 5e-3 -4e-3 7e-3 -7e-3 6e-3 -2e-3 -9.1e-4 -3e-3 -0.012-2e-3 -0.0293h-1e-5c1e-3 -0.0153 2e-3 -0.0306 3e-3 -0.0338 1.9e-4 -3e-3 2e-3 -5e-3 3e-3 -5e-3z" stroke-width=".0045108"/>
        </g>
        """
shoe_path = '<path d="m-509.23 -173.75 L{} {}" stroke="#{}"/>\n'


print('Writing images')

fps = 300
N_blur = 20
N_frames = int(t_array.max()*fps)
frame_skip =  int(1/fps/dt)
frame_skip_blur = int(frame_skip/N_blur)
#N_blur = int(frame_skip/frame_skip_blur)
blur_opacity = np.linspace(1.0,0.5,N_blur)
shoe_space = int(t_array.shape[0]/5)
for frame in range(N_frames):
     #track_vin = ''
     track_vin = vin_string.format(575.37)
     horseshoe_string=''
     shoe_paths=''
     with open('Figures/frame_{}.svg'.format(frame+1),'w') as f:
        
        x_vin = 0#v0*(frame*frame_skip)*dt*3.77952
        #track_vin+=vin_string.format(x_vin+504.37)
        
        for blur_step in range(N_blur):
            x_vin = v0*(frame*frame_skip-frame_skip_blur*blur_step)*dt*3.77952
            #track_vin+=vin_string.format(x_vin+575.37)
            #track_vin+=vin_string.format(x_vin+504.37)
            arr_idx = [((i*shoe_space+frame*frame_skip)-frame_skip_blur*blur_step) % t_array.shape[0] for i in range(5)]
            
        
            #Get temporary slice of data frame
            tmp=(data.iloc[arr_idx,:][['dx','hs_y','t']]*3.77952).copy()
            tmp['angles'] = (np.degrees(np.arctan2(tmp['hs_y']-h*3.77952,tmp['dx']))+360)%360
            tmp['colors'] = 'fff'
            tmp.loc[(tmp['angles']>=235)&(tmp['angles']<=270),'colors']='0b5794'
            tmp.loc[tmp['angles']<235,'colors']='b93f04'
            tmp.loc[(tmp['angles']>325),'colors'] = 'b93f04'
            tmp['dx']=(tmp['dx']-509.23)
            #tmp['dx']=(tmp['dx']-580.23)+x_vin
            tmp['hs_y']=-tmp['hs_y']-(135.95)
            for idx,row in tmp.iterrows():
                horseshoe_string+='<ellipse cx="{}" cy="{}" rx="1.5108" ry=".6221" fill-opacity="{}"/>\n'.format(row[0],row[1],blur_opacity[blur_step])
                if blur_step==0:
                    shoe_paths+=shoe_path.format(row[0],row[1],row['colors'])
                    #print(kluge)
                
            
        f.write(front_matter.format(shoe_paths))
        f.write(horseshoe_string)
        f.write(end_matter.format(track_vin))
        

 

[Ookla she/her]

This. Is. Insane.

Amazing work, mate!