Challenge

Week 10: Modeling and Simulation of flow around an Ahmed Body

Aim

  • Run an external flow simulation on Ahmed body
  • Create the geometry file
  • Extract coefficient of drag values from the paraview
  • Extract the x component of velocity along a line
  • Compare the experimental data and simulation data for validation

Ahmed body

Ahmed's body is a generic form of the car body that resembles all the essential flow features around a vehicle. This generic form was first defined and characterized in the experimental work of S.R.Ahmed. This body allows us to capture all the characteristics features that are relevant to bodies in the vehicle industry. This body can be used for a lot of experiments like calculating the drag and lift which are essential nowadays in the design of car bodies. Also this can be used to capture the wake regions, Flow seperation, vortices etc.. Different slant angles provide different values for Coeffecient of drag.

The reason for the negative pressure in the wake region

Wake region is formed behind the ahmed body as a result of viscous forces.The layer over the ahmed body get detatched at the rear end and a wake region is created. The velocity gradient is negetive here and the shear stresses in the flow creates a turbulent flow in wake region As the velocity of flow near to wall is almost zero due to no-slip condition the flow near to boundary layer end up in the rear side of the body through top and lower part of the body a region of low pressure relative to the pressure just outside the wake region, since there is a low pressure, the fluid has to work against adverse pressure gradient

Significance of point of seperation

The flow seperation takes place where the dv/dx or velocity gradient is zero along with pressure gradient along x-axis = 0 for the specific point.The flow seperation can be detected by a single contour and it can also be detected by ploting the velocity aliong y-axis at that region.

Flow separation or boundary layer separation is the detachment of a boundary layer from a surface into a wake. Separation occurs in flow that is slowing down, with pressure increasing, after passing the thickest part of a streamline body or passing through a widening passage, for example.

Flowing against an increasing pressure is known as flowing in anadverse pressure gradient. The boundary layer separates when it has travelled far enough in an adverse pressure gradient that the speed of the boundary layer relative to the surface has stopped and reversed direction. The flow becomes detached from the surface, and instead takes the forms of eddies and vortces. The fluid exerts a constant pressure on the surface once it has separated instead of a continually increasing pressure if still attached.In aerodynamics, flow separation results in reduced lift and increased aerodynamic, caused by the pressure differential between the front and rear surfaces of the object.

Since after the separation point the flow no longer adheres the surface of the body, the skin friction drag is almost zero. At the same time, however, the pressure drops considerably due to the energy dissipation in the turbulent wake. This leads to a significant increase in pressure drag, which is far greater than the reduction in skin friction drag. In total, the parasitic drag (air resistance) thus increases very strongly in the event of a flow separation.

Geometry

  • Geometry was created from Siemens solid edge
  • The geometry was cut into half to reduce the amount of cells
  • Then it was saved as STL file which is then opened through Converge
  • Then wind tunnel is created in the converge using creating Vertices and then patching it
  • To get the dimensions for the wind tunnel the following calculations were done

Formula for Boundary layer thickness on a flat plat, `delta = 0.382*x/(Re_x)^(1/5)`

Here it is given that `delta = 0.03`

`Re_x = u*x/(nu)`

`= (40x)/(1.552e-5)`

`=> 0.03 = 0.382x/((40x)/(1.552e-5))^(1/5)`

`0.274 = 0.382x/(40x^-5)`

`0.717 = x/((40x) ^(1/5))`

`0.717*(40)^(1/5) = x/(x^(1/5)`

`x^4 = 7.579`

x = 1.3 metres

  • The above value is for boundary layer at the front hence with additional 0.5 metres at the front an Inlet is to be created
  • This value also an additonal 0.5 is also added to the front distance from the Inlet to avoid boundary layer formation in this area hence this will be a seperate boundary (where Free slip condition is given)
  • Hence a total distance of 2.3 metres is added from the front face of the geometry to the inlet
  • The distance between Rear sinde of the geometry and outlet is set 5 times the length of geometry which is 5 metres itself. THe typical values industries use for this is in Between 5 times to 10 times to capture the physics effectively by avoiding the interferance of Outlet wall conditions. Since the current resources are low I will stick with the least (5 times)
  • The Height is set to two times the length of the geometry
  • The width is set to 0.5 metres

Setup

  • A transient simualtion is set

End time calculation ,

Length of the Wind tunnel = 8.3

Velocity of air = 40 m/s

Time required by air to travel through the wind tunnel = 8.3/40 = 0.2075 seconds

Hence End time is set to 0.36 to avoid any complications

  • Energy solver is turned off
  • In regions and initialisation the Velocity is set to 40 m/s and and Initial pressure is set to 101325 pascals
  • Boundary conditions are shown in snap shots
  • Under turbulance model K-w SST is set with enhanced wall treatment so to capture Viscous sub layer , However we need to use lower values of y+

Cell thickeness calculation at the boundary

For K-w the typical range of y+ is 0 - 10

So If y+ = 10 then the cell thickness would be 0.00009 m

Also we know that

Refined mesh = Base mesh /(2^n)

where n is the scale , for which in our case possible maximum scale is 6

`=> 9e-5 = (Base mesh) /(2^6)`

Base mesh = 64 * 9e-5 = 0.00576 m, the value cant be used in our case due to less computational resources

After some trials it was found that the allowable Base mesh size 0.5

  • Hence base mesh size is set to 0.5 m
  • Fixed embedding is enabled on ahmed body boundary with a scale of 6 and 5 layers
  • Also rear side of the geometry is also refined using fixed embedding in order to make the values there more accurate so that it can be compared with the experimental data
  • Wall output is selected to extract the lift and drag values

Outputs

  • Velocity contour

https://youtu.be/IaHhx1ytzFw

  • Y-plus

Observations

  • The y-plus average values higher and hence the solutions are less accurate
  • Inorder to obtain high accuracy the values must be smaller so as to capture the viscous sublayer
  • The velocity contours defines the wake regions at the rear

Calculations using paraview

  • Drag force and lift forces can be extracted from the paraview and Coefficient of drag and lift can be found using the calculator in paraview
  • For extracting these forces firstly ahmbed body block is extracted and then the surface is extratcted following generating surface normals
  • Calculator is turned on and then in scalars pressure and normals x is multiplied inorder to get drag force, For lift force pressure is multiplied with normals z

  • Now inorder to find the Coefficient of drag we need to have frontal area which is opposing the flow, This area can be extracet from paraview.

Fd = 29.221 N

Cd = 2*29.221/(1.225*0.0166133*40^2) = 1.8

For coefficient of lift,

L = -105.26

S = 1.044*0.389 = 0.406

`C_L` = (2*-105.26)/(1.225*0.406*40^2) = -0.264

Validation

  • For validation an experimental data is used to compare the extracted simulation data
  • Datas are the variation of velocity at x-direction at different locations of z-directions
  • eight points were used and these eight points lie at different locations of x
  • The experimantal and simulated values are put together in the same excel sheet and is plotted both in the same graph

Point 1 , X = -13 mm

Point 2 , X = -263 mm

Point 3 , X = 37 mm

Point 4 , X = 87 mm

Point 5 , X = -113 mm

Point 6 , X = 63 mm

Point 7 , X = 187 mm

Point 8 , X = 137 mm

Observations

  • As stated earlier the simulation data and experimented data does not match at some points and this is mainly due the coarse mesh provided
  • Although the results look pretty good and the curves almost follows the same slope
  • For validation we need the difference between the experimental values and the simulated values under 5% but in my case due the low computational resources the solutions are less accurate

Normalisation

  • Done to visualise the change in simulation data and experimental data
  • The data is calculated using the datas from each x locationscand then the differences are observed
  • It is first normalised and the multiplied with an amplification factor
  • It helps in determining the deviations of the simulated data from the experimented data
  • The experimental data curve is coloured in black

% 1st point
x_13 = [186	-1.805	186	-4.6827
188	-1.98	186.5	-4.6827
193	-2.496	187	-4.6827
198	-2.972	187.51	-4.6827
203	-3.171	188.01	-4.6827
208	-3.537	188.51	-4.6827
213	-3.793	189.01	-4.6827
218	-4.082	189.51	-4.6827
223	-4.328	190.02	-4.6827
228	-4.455	190.52	-4.6827
233	-4.489	191.02	-4.6827
238	-4.213	191.52	-4.6827
243	-3.4	192.02	-4.6827
248	-1.505	192.53	-4.6827
253	1.595	193.03	-4.6827
258	5.916	193.53	-4.6827
263	11.234	194.03	-4.5647
268	16.528	194.53	-4.5647
273	22.544	195.04	-4.5647
278	28.866	195.54	-4.5647
288	39.688	196.04	-4.5647
298	43.742	196.54	-4.5647
308	43.892	197.04	-4.5647
318	43.753	197.55	-4.5647
328	43.61	198.05	-4.5647
338	43.484	198.55	-4.5647
358	43.212	199.05	-4.5647
378	43.004	199.55	-4.5647
408	42.692	200.06	-4.5647
438	42.398	200.56	-4.5647
468	42.15	201.06	-4.5647
508	41.865	201.56	-4.5647
548	41.606	202.06	-4.357
588	41.553	202.57	-4.357
638	41.482	203.07	-4.357
688	41.316	203.57	-4.357
0	0	204.07	-4.357
0	0	204.57	-4.357
0	0	205.08	-4.357
0	0	205.58	-4.357
0	0	206.08	-4.357
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0	0	209.59	-3.0035
0	0	210.1	-3.0035
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0	0	287.91	40.548
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0	0	402.86	43.042
0	0	403.37	43.042
0	0	403.87	43.042
0	0	404.37	43.042
0	0	404.87	43.042
0	0	405.37	43.042
0	0	405.88	43.042
0	0	406.38	43.042
0	0	406.88	43.042
0	0	407.38	43.042
0	0	407.88	43.042
0	0	408.39	43.042
0	0	408.89	43.042
0	0	409.39	43.042
0	0	409.89	43.042
0	0	410.39	43.042
0	0	410.9	43.042
0	0	411.4	43.042
0	0	411.9	43.042
0	0	412.4	43.042
0	0	412.9	42.962
0	0	413.41	42.962
0	0	413.91	42.962
0	0	414.41	42.962
0	0	414.91	42.962
0	0	415.41	42.962
0	0	415.92	42.962
0	0	416.42	42.962
0	0	416.92	42.962
0	0	417.42	42.962
0	0	417.92	42.962
0	0	418.43	42.962
0	0	418.93	42.962
0	0	419.43	42.962
0	0	419.93	42.962
0	0	420.43	42.962
0	0	420.94	42.962
0	0	421.44	42.962
0	0	421.94	42.962
0	0	422.44	42.962
0	0	422.94	42.962
0	0	423.45	42.962
0	0	423.95	42.962
0	0	424.45	42.962
0	0	424.95	42.962
0	0	425.45	42.962
0	0	425.96	42.962
0	0	426.46	42.962
0	0	426.96	42.962
0	0	427.46	42.962
0	0	427.96	42.962
0	0	428.47	42.732
0	0	428.97	42.732
0	0	429.47	42.732
0	0	429.97	42.732
0	0	430.47	42.732
0	0	430.98	42.732
0	0	431.48	42.732
0	0	431.98	42.732
0	0	432.48	42.732
0	0	432.98	42.732
0	0	433.49	42.732
0	0	433.99	42.732
0	0	434.49	42.732
0	0	434.99	42.732
0	0	435.49	42.732
0	0	436	42.732
0	0	436.5	42.732
0	0	437	42.732
0	0	437.5	42.732
0	0	438	42.732
0	0	438.51	42.732
0	0	439.01	42.732
0	0	439.51	42.732
0	0	440.01	42.732
0	0	440.51	42.732
0	0	441.02	42.732
0	0	441.52	42.732
0	0	442.02	42.732
0	0	442.52	42.732
0	0	443.02	42.732
0	0	443.53	42.732
0	0	444.03	42.74
0	0	444.53	42.74
0	0	445.03	42.74
0	0	445.53	42.74
0	0	446.04	42.74
0	0	446.54	42.74
0	0	447.04	42.74
0	0	447.54	42.74
0	0	448.04	42.74
0	0	448.55	42.74
0	0	449.05	42.74
0	0	449.55	42.74
0	0	450.05	42.74
0	0	450.55	42.74
0	0	451.06	42.74
0	0	451.56	42.74
0	0	452.06	42.74
0	0	452.56	42.74
0	0	453.06	42.74
0	0	453.57	42.74
0	0	454.07	42.74
0	0	454.57	42.74
0	0	455.07	42.74
0	0	455.57	42.74
0	0	456.08	42.74
0	0	456.58	42.74
0	0	457.08	42.74
0	0	457.58	42.74
0	0	458.08	42.74
0	0	458.59	42.74
0	0	459.09	42.74
0	0	459.59	42.782
0	0	460.09	42.782
0	0	460.59	42.782
0	0	461.1	42.782
0	0	461.6	42.782
0	0	462.1	42.782
0	0	462.6	42.782
0	0	463.1	42.782
0	0	463.61	42.782
0	0	464.11	42.782
0	0	464.61	42.782
0	0	465.11	42.782
0	0	465.61	42.782
0	0	466.12	42.782
0	0	466.62	42.782
0	0	467.12	42.782
0	0	467.62	42.782
0	0	468.12	42.782
0	0	468.63	42.782
0	0	469.13	42.782
0	0	469.63	42.782
0	0	470.13	42.782
0	0	470.63	42.782
0	0	471.14	42.782
0	0	471.64	42.782
0	0	472.14	42.782
0	0	472.64	42.782
0	0	473.14	42.782
0	0	473.65	42.782
0	0	474.15	42.782
0	0	474.65	42.782
0	0	475.15	42.988
0	0	475.65	42.988
0	0	476.16	42.988
0	0	476.66	42.988
0	0	477.16	42.988
0	0	477.66	42.988
0	0	478.16	42.988
0	0	478.67	42.988
0	0	479.17	42.988
0	0	479.67	42.988
0	0	480.17	42.988
0	0	480.67	42.988
0	0	481.18	42.988
0	0	481.68	42.988
0	0	482.18	42.988
0	0	482.68	42.988
0	0	483.18	42.988
0	0	483.69	42.988
0	0	484.19	42.988
0	0	484.69	42.988
0	0	485.19	42.988
0	0	485.69	42.988
0	0	486.2	42.988
0	0	486.7	42.988
0	0	487.2	42.988
0	0	487.7	42.988
0	0	488.2	42.988
0	0	488.71	42.988
0	0	489.21	42.988
0	0	489.71	42.988
0	0	490.21	42.988
0	0	490.71	43.056
0	0	491.22	43.056
0	0	491.72	43.056
0	0	492.22	43.056
0	0	492.72	43.056
0	0	493.22	43.056
0	0	493.73	43.056
0	0	494.23	43.056
0	0	494.73	43.056
0	0	495.23	43.056
0	0	495.73	43.056
0	0	496.24	43.056
0	0	496.74	43.056
0	0	497.24	43.056
0	0	497.74	43.056
0	0	498.24	43.056
0	0	498.75	43.056
0	0	499.25	43.056
0	0	499.75	43.056
0	0	500.25	43.056
0	0	500.75	43.056
0	0	501.26	43.056
0	0	501.76	43.056
0	0	502.26	43.056
0	0	502.76	43.056
0	0	503.26	43.056
0	0	503.77	43.056
0	0	504.27	43.056
0	0	504.77	43.056
0	0	505.27	43.056
0	0	505.77	43.056
0	0	506.28	43.283
0	0	506.78	43.283
0	0	507.28	43.283
0	0	507.78	43.283
0	0	508.28	43.283
0	0	508.79	43.283
0	0	509.29	43.283
0	0	509.79	43.283
0	0	510.29	43.283
0	0	510.79	43.283
0	0	511.3	43.283
0	0	511.8	43.283
0	0	512.3	43.283
0	0	512.8	43.283
0	0	513.3	43.283
0	0	513.81	43.283
0	0	514.31	43.283
0	0	514.81	43.283
0	0	515.31	43.283
0	0	515.81	43.283
0	0	516.32	43.283
0	0	516.82	43.283
0	0	517.32	43.283
0	0	517.82	43.283
0	0	518.32	43.283
0	0	518.83	43.283
0	0	519.33	43.283
0	0	519.83	43.283
0	0	520.33	43.283
0	0	520.83	43.283
0	0	521.34	43.283
0	0	521.84	43.283
0	0	522.34	43.22
0	0	522.84	43.22
0	0	523.34	43.22
0	0	523.85	43.22
0	0	524.35	43.22
0	0	524.85	43.22
0	0	525.35	43.22
0	0	525.85	43.22
0	0	526.36	43.22
0	0	526.86	43.22
0	0	527.36	43.22
0	0	527.86	43.22
0	0	528.36	43.22
0	0	528.87	43.22
0	0	529.37	43.22
0	0	529.87	43.22
0	0	530.37	43.22
0	0	530.87	43.22
0	0	531.38	43.22
0	0	531.88	43.22
0	0	532.38	43.22
0	0	532.88	43.22
0	0	533.38	43.22
0	0	533.89	43.22
0	0	534.39	43.22
0	0	534.89	43.22
0	0	535.39	43.22
0	0	535.89	43.22
0	0	536.4	43.22
0	0	536.9	43.22
0	0	537.4	43.22
0	0	537.9	43.178
0	0	538.4	43.178
0	0	538.91	43.178
0	0	539.41	43.178
0	0	539.91	43.178
0	0	540.41	43.178
0	0	540.91	43.178
0	0	541.42	43.178
0	0	541.92	43.178
0	0	542.42	43.178
0	0	542.92	43.178
0	0	543.42	43.178
0	0	543.93	43.178
0	0	544.43	43.178
0	0	544.93	43.178
0	0	545.43	43.178
0	0	545.93	43.178
0	0	546.44	43.178
0	0	546.94	43.178
0	0	547.44	43.178
0	0	547.94	43.178
0	0	548.44	43.178
0	0	548.95	43.178
0	0	549.45	43.178
0	0	549.95	43.178
0	0	550.45	43.178
0	0	550.95	43.178
0	0	551.46	43.178
0	0	551.96	43.178
0	0	552.46	43.178
0	0	552.96	43.178
0	0	553.46	42.939
0	0	553.97	42.939
0	0	554.47	42.939
0	0	554.97	42.939
0	0	555.47	42.939
0	0	555.97	42.939
0	0	556.48	42.939
0	0	556.98	42.939
0	0	557.48	42.939
0	0	557.98	42.939
0	0	558.48	42.939
0	0	558.99	42.939
0	0	559.49	42.939
0	0	559.99	42.939
0	0	560.49	42.939
0	0	560.99	42.939
0	0	561.5	42.939
0	0	562	42.939
0	0	562.5	42.939
0	0	563	42.939
0	0	563.5	42.939
0	0	564.01	42.939
0	0	564.51	42.939
0	0	565.01	42.939
0	0	565.51	42.939
0	0	566.01	42.939
0	0	566.52	42.939
0	0	567.02	42.939
0	0	567.52	42.939
0	0	568.02	42.939
0	0	568.52	42.939
0	0	569.03	42.832
0	0	569.53	42.832
0	0	570.03	42.832
0	0	570.53	42.832
0	0	571.03	42.832
0	0	571.54	42.832
0	0	572.04	42.832
0	0	572.54	42.832
0	0	573.04	42.832
0	0	573.54	42.832
0	0	574.05	42.832
0	0	574.55	42.832
0	0	575.05	42.832
0	0	575.55	42.832
0	0	576.05	42.832
0	0	576.56	42.832
0	0	577.06	42.832
0	0	577.56	42.832
0	0	578.06	42.832
0	0	578.56	42.832
0	0	579.07	42.832
0	0	579.57	42.832
0	0	580.07	42.832
0	0	580.57	42.832
0	0	581.07	42.832
0	0	581.58	42.832
0	0	582.08	42.832
0	0	582.58	42.832
0	0	583.08	42.832
0	0	583.58	42.832
0	0	584.09	42.832
0	0	584.59	42.851
0	0	585.09	42.851
0	0	585.59	42.851
0	0	586.09	42.851
0	0	586.6	42.851
0	0	587.1	42.851
0	0	587.6	42.851
0	0	588.1	42.851
0	0	588.6	42.851
0	0	589.11	42.851
0	0	589.61	42.851
0	0	590.11	42.851
0	0	590.61	42.851
0	0	591.11	42.851
0	0	591.62	42.851
0	0	592.12	42.851
0	0	592.62	42.851
0	0	593.12	42.851
0	0	593.62	42.851
0	0	594.13	42.851
0	0	594.63	42.851
0	0	595.13	42.851
0	0	595.63	42.851
0	0	596.13	42.851
0	0	596.64	42.851
0	0	597.14	42.851
0	0	597.64	42.851
0	0	598.14	42.851
0	0	598.64	42.851
0	0	599.15	42.851
0	0	599.65	42.851
0	0	600.15	42.939
0	0	600.65	42.939
0	0	601.15	42.939
0	0	601.66	42.939
0	0	602.16	42.939
0	0	602.66	42.939
0	0	603.16	42.939
0	0	603.66	42.939
0	0	604.17	42.939
0	0	604.67	42.939
0	0	605.17	42.939
0	0	605.67	42.939
0	0	606.17	42.939
0	0	606.68	42.939
0	0	607.18	42.939
0	0	607.68	42.939
0	0	608.18	42.939
0	0	608.68	42.939
0	0	609.19	42.939
0	0	609.69	42.939
0	0	610.19	42.939
0	0	610.69	42.939
0	0	611.19	42.939
0	0	611.7	42.939
0	0	612.2	42.939
0	0	612.7	42.939
0	0	613.2	42.939
0	0	613.7	42.939
0	0	614.21	42.939
0	0	614.71	42.939
0	0	615.21	42.939
0	0	615.71	42.92
0	0	616.21	42.92
0	0	616.72	42.92
0	0	617.22	42.92
0	0	617.72	42.92
0	0	618.22	42.92
0	0	618.72	42.92
0	0	619.23	42.92
0	0	619.73	42.92
0	0	620.23	42.92
0	0	620.73	42.92
0	0	621.23	42.92
0	0	621.74	42.92
0	0	622.24	42.92
0	0	622.74	42.92
0	0	623.24	42.92
0	0	623.74	42.92
0	0	624.25	42.92
0	0	624.75	42.92
0	0	625.25	42.92
0	0	625.75	42.92
0	0	626.25	42.92
0	0	626.76	42.92
0	0	627.26	42.92
0	0	627.76	42.92
0	0	628.26	42.92
0	0	628.76	42.92
0	0	629.27	42.92
0	0	629.77	42.92
0	0	630.27	42.92
0	0	630.77	42.92
0	0	631.27	42.834
0	0	631.78	42.834
0	0	632.28	42.834
0	0	632.78	42.834
0	0	633.28	42.834
0	0	633.78	42.834
0	0	634.29	42.834
0	0	634.79	42.834
0	0	635.29	42.834
0	0	635.79	42.834
0	0	636.29	42.834
0	0	636.8	42.834
0	0	637.3	42.834
0	0	637.8	42.834
0	0	638.3	42.834
0	0	638.8	42.834
0	0	639.31	42.834
0	0	639.81	42.834
0	0	640.31	42.834
0	0	640.81	42.834
0	0	641.31	42.834
0	0	641.82	42.834
0	0	642.32	42.834
0	0	642.82	42.834
0	0	643.32	42.834
0	0	643.82	42.834
0	0	644.33	42.834
0	0	644.83	42.834
0	0	645.33	42.834
0	0	645.83	42.834
0	0	646.33	42.834
0	0	646.84	42.834
0	0	647.34	42.641
0	0	647.84	42.641
0	0	648.34	42.641
0	0	648.84	42.641
0	0	649.35	42.641
0	0	649.85	42.641
0	0	650.35	42.641
0	0	650.85	42.641
0	0	651.35	42.641
0	0	651.86	42.641
0	0	652.36	42.641
0	0	652.86	42.641
0	0	653.36	42.641
0	0	653.86	42.641
0	0	654.37	42.641
0	0	654.87	42.641
0	0	655.37	42.641
0	0	655.87	42.641
0	0	656.37	42.641
0	0	656.88	42.641
0	0	657.38	42.641
0	0	657.88	42.641
0	0	658.38	42.641
0	0	658.88	42.641
0	0	659.39	42.641
0	0	659.89	42.641
0	0	660.39	42.641
0	0	660.89	42.641
0	0	661.39	42.641
0	0	661.9	42.641
0	0	662.4	42.641
0	0	662.9	42.574
0	0	663.4	42.574
0	0	663.9	42.574
0	0	664.41	42.574
0	0	664.91	42.574
0	0	665.41	42.574
0	0	665.91	42.574
0	0	666.41	42.574
0	0	666.92	42.574
0	0	667.42	42.574
0	0	667.92	42.574
0	0	668.42	42.574
0	0	668.92	42.574
0	0	669.43	42.574
0	0	669.93	42.574
0	0	670.43	42.574
0	0	670.93	42.574
0	0	671.43	42.574
0	0	671.94	42.574
0	0	672.44	42.574
0	0	672.94	42.574
0	0	673.44	42.574
0	0	673.94	42.574
0	0	674.45	42.574
0	0	674.95	42.574
0	0	675.45	42.574
0	0	675.95	42.574
0	0	676.45	42.574
0	0	676.96	42.574
0	0	677.46	42.574
0	0	677.96	42.574
0	0	678.46	42.432
0	0	678.96	42.432
0	0	679.47	42.432
0	0	679.97	42.432
0	0	680.47	42.432
0	0	680.97	42.432
0	0	681.47	42.432
0	0	681.98	42.432
0	0	682.48	42.432
0	0	682.98	42.432
0	0	683.48	42.432
0	0	683.98	42.432
0	0	684.49	42.432
0	0	684.99	42.432
0	0	685.49	42.432
0	0	685.99	42.432
0	0	686.49	42.432
0	0	687	42.432
0	0	687.5	42.432
0	0	688	42.432
]
% 2nd point
x_263 = [313	42.904	313	44.836
318	42.894	313.37	44.836
328	42.831	313.75	44.836
338	42.77	314.13	44.836
348	42.747	314.5	44.836
358	42.699	314.88	44.836
378	42.601	315.25	44.836
408	42.494	315.63	44.836
438	42.34	316	44.836
468	42.187	316.37	44.836
508	41.964	316.75	44.836
548	41.771	317.12	44.836
588	41.701	317.5	44.836
638	41.663	317.87	44.836
688	41.477	318.25	44.836
0	0	318.63	44.836
0	0	319	46.074
0	0	319.38	46.074
0	0	319.75	46.074
0	0	320.13	46.074
0	0	320.5	46.074
0	0	320.87	46.074
0	0	321.25	46.074
0	0	321.62	46.074
0	0	322	46.074
0	0	322.37	46.074
0	0	322.75	46.074
0	0	323.13	46.074
0	0	323.5	46.074
0	0	323.88	46.074
0	0	324.25	46.074
0	0	324.62	46.074
0	0	325	46.074
0	0	325.37	46.074
0	0	325.75	46.074
0	0	326.12	46.074
0	0	326.5	46.074
0	0	326.88	47.435
0	0	327.25	47.435
0	0	327.63	47.435
0	0	328	47.435
0	0	328.38	47.435
0	0	328.75	47.435
0	0	329.12	47.435
0	0	329.5	47.435
0	0	329.87	47.435
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0	0	566.5	44.402
0	0	566.87	44.402
0	0	567.25	44.402
0	0	567.62	44.402
0	0	568	44.402
0	0	568.37	44.402
0	0	568.75	44.402
0	0	569.12	44.106
0	0	569.5	44.106
0	0	569.88	44.106
0	0	570.25	44.106
0	0	570.63	44.106
0	0	571	44.106
0	0	571.38	44.106
0	0	571.75	44.106
0	0	572.13	44.106
0	0	572.5	44.106
0	0	572.88	44.106
0	0	573.25	44.106
0	0	573.63	44.106
0	0	574	44.106
0	0	574.37	44.106
0	0	574.75	44.106
0	0	575.12	44.106
0	0	575.5	44.106
0	0	575.87	44.106
0	0	576.25	44.106
0	0	576.62	44.106
0	0	577	44.106
0	0	577.37	44.106
0	0	577.75	44.106
0	0	578.13	44.106
0	0	578.5	44.106
0	0	578.88	44.106
0	0	579.25	44.106
0	0	579.63	44.106
0	0	580	44.106
0	0	580.38	44.106
0	0	580.75	44.106
0	0	581.13	44.106
0	0	581.5	44.106
0	0	581.88	44.106
0	0	582.25	44.106
0	0	582.62	44.106
0	0	583	44.106
0	0	583.37	44.106
0	0	583.75	44.106
0	0	584.12	44.106
0	0	584.5	43.954
0	0	584.87	43.954
0	0	585.25	43.954
0	0	585.62	43.954
0	0	586	43.954
0	0	586.37	43.954
0	0	586.75	43.954
0	0	587.13	43.954
0	0	587.5	43.954
0	0	587.88	43.954
0	0	588.25	43.954
0	0	588.63	43.954
0	0	589	43.954
0	0	589.38	43.954
0	0	589.75	43.954
0	0	590.13	43.954
0	0	590.5	43.954
0	0	590.88	43.954
0	0	591.25	43.954
0	0	591.62	43.954
0	0	592	43.954
0	0	592.37	43.954
0	0	592.75	43.954
0	0	593.12	43.954
0	0	593.5	43.954
0	0	593.87	43.954
0	0	594.25	43.954
0	0	594.62	43.954
0	0	595	43.954
0	0	595.38	43.954
0	0	595.75	43.954
0	0	596.13	43.954
0	0	596.5	43.954
0	0	596.88	43.954
0	0	597.25	43.954
0	0	597.63	43.954
0	0	598	43.954
0	0	598.38	43.954
0	0	598.75	43.954
0	0	599.13	43.954
0	0	599.5	43.954
0	0	599.87	43.954
0	0	600.25	43.953
0	0	600.62	43.953
0	0	601	43.953
0	0	601.37	43.953
0	0	601.75	43.953
0	0	602.12	43.953
0	0	602.5	43.953
0	0	602.87	43.953
0	0	603.25	43.953
0	0	603.62	43.953
0	0	604	43.953
0	0	604.38	43.953
0	0	604.75	43.953
0	0	605.13	43.953
0	0	605.5	43.953
0	0	605.88	43.953
0	0	606.25	43.953
0	0	606.63	43.953
0	0	607	43.953
0	0	607.38	43.953
0	0	607.75	43.953
0	0	608.12	43.953
0	0	608.5	43.953
0	0	608.87	43.953
0	0	609.25	43.953
0	0	609.62	43.953
0	0	610	43.953
0	0	610.37	43.953
0	0	610.75	43.953
0	0	611.12	43.953
0	0	611.5	43.953
0	0	611.87	43.953
0	0	612.25	43.953
0	0	612.63	43.953
0	0	613	43.953
0	0	613.38	43.953
0	0	613.75	43.953
0	0	614.13	43.953
0	0	614.5	43.953
0	0	614.88	43.953
0	0	615.25	43.953
0	0	615.63	43.953
0	0	616	43.913
0	0	616.38	43.913
0	0	616.75	43.913
0	0	617.12	43.913
0	0	617.5	43.913
0	0	617.87	43.913
0	0	618.25	43.913
0	0	618.62	43.913
0	0	619	43.913
0	0	619.37	43.913
0	0	619.75	43.913
0	0	620.12	43.913
0	0	620.5	43.913
0	0	620.88	43.913
0	0	621.25	43.913
0	0	621.63	43.913
0	0	622	43.913
0	0	622.38	43.913
0	0	622.75	43.913
0	0	623.13	43.913
0	0	623.5	43.913
0	0	623.88	43.913
0	0	624.25	43.913
0	0	624.63	43.913
0	0	625	43.913
0	0	625.37	43.913
0	0	625.75	43.913
0	0	626.12	43.913
0	0	626.5	43.913
0	0	626.87	43.913
0	0	627.25	43.913
0	0	627.62	43.913
0	0	628	43.913
0	0	628.37	43.913
0	0	628.75	43.913
0	0	629.12	43.913
0	0	629.5	43.913
0	0	629.88	43.913
0	0	630.25	43.913
0	0	630.63	43.913
0	0	631	43.913
0	0	631.38	43.844
0	0	631.75	43.844
0	0	632.13	43.844
0	0	632.5	43.844
0	0	632.88	43.844
0	0	633.25	43.844
0	0	633.62	43.844
0	0	634	43.844
0	0	634.37	43.844
0	0	634.75	43.844
0	0	635.12	43.844
0	0	635.5	43.844
0	0	635.87	43.844
0	0	636.25	43.844
0	0	636.62	43.844
0	0	637	43.844
0	0	637.37	43.844
0	0	637.75	43.844
0	0	638.13	43.844
0	0	638.5	43.844
0	0	638.88	43.844
0	0	639.25	43.844
0	0	639.63	43.844
0	0	640	43.844
0	0	640.38	43.844
0	0	640.75	43.844
0	0	641.13	43.844
0	0	641.5	43.844
0	0	641.88	43.844
0	0	642.25	43.844
0	0	642.62	43.844
0	0	643	43.844
0	0	643.37	43.844
0	0	643.75	43.844
0	0	644.12	43.844
0	0	644.5	43.844
0	0	644.87	43.844
0	0	645.25	43.844
0	0	645.62	43.844
0	0	646	43.844
0	0	646.38	43.844
0	0	646.75	43.844
0	0	647.13	43.585
0	0	647.5	43.585
0	0	647.88	43.585
0	0	648.25	43.585
0	0	648.63	43.585
0	0	649	43.585
0	0	649.38	43.585
0	0	649.75	43.585
0	0	650.13	43.585
0	0	650.5	43.585
0	0	650.87	43.585
0	0	651.25	43.585
0	0	651.62	43.585
0	0	652	43.585
0	0	652.37	43.585
0	0	652.75	43.585
0	0	653.12	43.585
0	0	653.5	43.585
0	0	653.87	43.585
0	0	654.25	43.585
0	0	654.62	43.585
0	0	655	43.585
0	0	655.38	43.585
0	0	655.75	43.585
0	0	656.13	43.585
0	0	656.5	43.585
0	0	656.88	43.585
0	0	657.25	43.585
0	0	657.63	43.585
0	0	658	43.585
0	0	658.38	43.585
0	0	658.75	43.585
0	0	659.12	43.585
0	0	659.5	43.585
0	0	659.87	43.585
0	0	660.25	43.585
0	0	660.62	43.585
0	0	661	43.585
0	0	661.37	43.585
0	0	661.75	43.585
0	0	662.12	43.585
0	0	662.5	43.585
0	0	662.87	43.454
0	0	663.25	43.454
0	0	663.63	43.454
0	0	664	43.454
0	0	664.38	43.454
0	0	664.75	43.454
0	0	665.13	43.454
0	0	665.5	43.454
0	0	665.88	43.454
0	0	666.25	43.454
0	0	666.63	43.454
0	0	667	43.454
0	0	667.38	43.454
0	0	667.75	43.454
0	0	668.12	43.454
0	0	668.5	43.454
0	0	668.87	43.454
0	0	669.25	43.454
0	0	669.62	43.454
0	0	670	43.454
0	0	670.37	43.454
0	0	670.75	43.454
0	0	671.12	43.454
0	0	671.5	43.454
0	0	671.88	43.454
0	0	672.25	43.454
0	0	672.63	43.454
0	0	673	43.454
0	0	673.38	43.454
0	0	673.75	43.454
0	0	674.13	43.454
0	0	674.5	43.454
0	0	674.88	43.454
0	0	675.25	43.454
0	0	675.63	43.454
0	0	676	43.454
0	0	676.37	43.454
0	0	676.75	43.454
0	0	677.12	43.454
0	0	677.5	43.454
0	0	677.87	43.454
0	0	678.25	43.201
0	0	678.62	43.201
0	0	679	43.201
0	0	679.37	43.201
0	0	679.75	43.201
0	0	680.12	43.201
0	0	680.5	43.201
0	0	680.88	43.201
0	0	681.25	43.201
0	0	681.63	43.201
0	0	682	43.201
0	0	682.38	43.201
0	0	682.75	43.201
0	0	683.13	43.201
0	0	683.5	43.201
0	0	683.88	43.201
0	0	684.25	43.201
0	0	684.63	43.201
0	0	685	43.201
0	0	685.37	43.201
0	0	685.75	43.201
0	0	686.12	43.201
0	0	686.5	43.201
0	0	686.87	43.201
0	0	687.25	43.201
0	0	687.62	43.201
0	0	688	43.201
]
% 3rd point
x_37 = [-22	43.102	-22	34.738
-12	37.219	-21.29	34.738
-2	14.176	-20.58	34.738
8	-6.139	-19.87	34.738
18	-7.4	-19.16	34.738
28	-7.706	-18.45	34.738
38	-7.687	-17.74	34.738
48	-7.641	-17.03	29.875
58	-7.589	-16.32	29.875
68	-7.457	-15.61	29.875
78	-7.055	-14.9	29.875
88	-6.755	-14.19	29.875
98	-6.284	-13.48	29.875
108	-5.819	-12.77	29.875
118	-5.221	-12.06	29.875
128	-4.637	-11.35	29.875
138	-4.117	-10.64	29.875
148	-3.497	-9.93	29.875
158	-3.048	-9.22	21.95
168	-2.515	-8.51	21.95
178	-1.802	-7.8	21.95
188	-1.303	-7.09	21.95
198	-0.709	-6.38	21.95
208	0.022	-5.67	21.95
218	0.967	-4.96	21.95
228	2.458	-4.25	21.95
238	4.802	-3.54	21.95
248	9.118	-2.83	21.95
258	15.708	-2.12	21.95
268	24.639	-1.41	7.8537
278	35.061	-0.7	7.8537
288	42.402	1.00E-02	7.8537
298	43.812	0.72	7.8537
318	43.514	1.43	7.8537
338	43.237	2.14	7.8537
358	42.96	2.85	7.8537
378	42.791	3.56	7.8537
408	42.481	4.27	7.8537
438	42.216	4.98	7.8537
468	41.985	5.69	7.8537
508	41.739	6.4	1.8851
548	41.482	7.11	1.8851
588	41.451	7.82	1.8851
638	41.389	8.53	1.8851
688	41.244	9.24	1.8851
0	0	9.95	1.8851
0	0	10.66	1.8851
0	0	11.37	1.8851
0	0	12.08	1.8851
0	0	12.79	1.8851
0	0	13.5	1.8851
0	0	14.21	-1.02
0	0	14.92	-1.02
0	0	15.63	-1.02
0	0	16.34	-1.02
0	0	17.05	-1.02
0	0	17.76	-1.02
0	0	18.47	-1.02
0	0	19.18	-1.02
0	0	19.89	-1.02
0	0	20.6	-1.02
0	0	21.31	-1.02
0	0	22.02	-3.1931
0	0	22.73	-3.1931
0	0	23.44	-3.1931
0	0	24.15	-3.1931
0	0	24.86	-3.1931
0	0	25.57	-3.1931
0	0	26.28	-3.1931
0	0	26.99	-3.1931
0	0	27.7	-3.1931
0	0	28.41	-3.1931
0	0	29.12	-3.1931
0	0	29.83	-4.6358
0	0	30.54	-4.6358
0	0	31.25	-4.6358
0	0	31.96	-4.6358
0	0	32.67	-4.6358
0	0	33.38	-4.6358
0	0	34.09	-4.6358
0	0	34.8	-4.6358
0	0	35.51	-4.6358
0	0	36.22	-4.6358
0	0	36.93	-4.6358
0	0	37.64	-6.2941
0	0	38.35	-6.2941
0	0	39.06	-6.2941
0	0	39.77	-6.2941
0	0	40.48	-6.2941
0	0	41.19	-6.2941
0	0	41.9	-6.2941
0	0	42.61	-6.2941
0	0	43.32	-6.2941
0	0	44.03	-6.2941
0	0	44.74	-6.2941
0	0	45.45	-7.1771
0	0	46.16	-7.1771
0	0	46.87	-7.1771
0	0	47.58	-7.1771
0	0	48.29	-7.1771
0	0	49	-7.1771
0	0	49.71	-7.1771
0	0	50.42	-7.1771
0	0	51.13	-7.1771
0	0	51.84	-7.1771
0	0	52.55	-7.1771
0	0	53.26	-7.9615
0	0	53.97	-7.9615
0	0	54.68	-7.9615
0	0	55.39	-7.9615
0	0	56.1	-7.9615
0	0	56.81	-7.9615
0	0	57.52	-7.9615
0	0	58.23	-7.9615
0	0	58.94	-7.9615
0	0	59.65	-7.9615
0	0	60.36	-7.9615
0	0	61.07	-8.241
0	0	61.78	-8.241
0	0	62.49	-8.241
0	0	63.2	-8.241
0	0	63.91	-8.241
0	0	64.62	-8.241
0	0	65.33	-8.241
0	0	66.04	-8.241
0	0	66.75	-8.241
0	0	67.46	-8.241
0	0	68.17	-8.241
0	0	68.88	-8.2477
0	0	69.59	-8.2477
0	0	70.3	-8.2477
0	0	71.01	-8.2477
0	0	71.72	-8.2477
0	0	72.43	-8.2477
0	0	73.14	-8.2477
0	0	73.85	-8.2477
0	0	74.56	-8.2477
0	0	75.27	-8.2477
0	0	75.98	-8.2477
0	0	76.69	-8.1131
0	0	77.4	-8.1131
0	0	78.11	-8.1131
0	0	78.82	-8.1131
0	0	79.53	-8.1131
0	0	80.24	-8.1131
0	0	80.95	-8.1131
0	0	81.66	-8.1131
0	0	82.37	-8.1131
0	0	83.08	-8.1131
0	0	83.79	-8.1131
0	0	84.5	-7.6624
0	0	85.21	-7.6624
0	0	85.92	-7.6624
0	0	86.63	-7.6624
0	0	87.34	-7.6624
0	0	88.05	-7.6624
0	0	88.76	-7.6624
0	0	89.47	-7.6624
0	0	90.18	-7.6624
0	0	90.89	-7.6624
0	0	91.6	-7.6624
0	0	92.31	-7.2588
0	0	93.02	-7.2588
0	0	93.73	-7.2588
0	0	94.44	-7.2588
0	0	95.15	-7.2588
0	0	95.86	-7.2588
0	0	96.57	-7.2588
0	0	97.28	-7.2588
0	0	97.99	-7.2588
0	0	98.7	-7.2588
0	0	99.41	-7.2588
0	0	100.12	-6.5545
0	0	100.83	-6.5545
0	0	101.54	-6.5545
0	0	102.25	-6.5545
0	0	102.96	-6.5545
0	0	103.67	-6.5545
0	0	104.38	-6.5545
0	0	105.09	-6.5545
0	0	105.8	-6.5545
0	0	106.51	-6.5545
0	0	107.22	-6.5545
0	0	107.93	-6.0126
0	0	108.64	-6.0126
0	0	109.35	-6.0126
0	0	110.06	-6.0126
0	0	110.77	-6.0126
0	0	111.48	-6.0126
0	0	112.19	-6.0126
0	0	112.9	-6.0126
0	0	113.61	-6.0126
0	0	114.32	-6.0126
0	0	115.03	-6.0126
0	0	115.74	-5.3171
0	0	116.45	-5.3171
0	0	117.16	-5.3171
0	0	117.87	-5.3171
0	0	118.58	-5.3171
0	0	119.29	-5.3171
0	0	120	-5.3171
0	0	120.71	-5.3171
0	0	121.42	-5.3171
0	0	122.13	-5.3171
0	0	122.84	-5.3171
0	0	123.55	-4.7754
0	0	124.26	-4.7754
0	0	124.97	-4.7754
0	0	125.68	-4.7754
0	0	126.39	-4.7754
0	0	127.1	-4.7754
0	0	127.81	-4.7754
0	0	128.52	-4.7754
0	0	129.23	-4.7754
0	0	129.94	-4.7754
0	0	130.65	-4.7754
0	0	131.36	-4.0297
0	0	132.07	-4.0297
0	0	132.78	-4.0297
0	0	133.49	-4.0297
0	0	134.2	-4.0297
0	0	134.91	-4.0297
0	0	135.62	-4.0297
0	0	136.33	-4.0297
0	0	137.04	-4.0297
0	0	137.75	-4.0297
0	0	138.46	-4.0297
0	0	139.17	-3.4911
0	0	139.88	-3.4911
0	0	140.59	-3.4911
0	0	141.3	-3.4911
0	0	142.01	-3.4911
0	0	142.72	-3.4911
0	0	143.43	-3.4911
0	0	144.14	-3.4911
0	0	144.85	-3.4911
0	0	145.56	-3.4911
0	0	146.27	-3.4911
0	0	146.98	-2.8453
0	0	147.69	-2.8453
0	0	148.4	-2.8453
0	0	149.11	-2.8453
0	0	149.82	-2.8453
0	0	150.53	-2.8453
0	0	151.24	-2.8453
0	0	151.95	-2.8453
0	0	152.66	-2.8453
0	0	153.37	-2.8453
0	0	154.08	-2.8453
0	0	154.79	-2.1901
0	0	155.5	-2.1901
0	0	156.21	-2.1901
0	0	156.92	-2.1901
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0	0	597.83	42.392
0	0	598.54	42.392
0	0	599.25	42.392
0	0	599.96	42.392
0	0	600.67	42.491
0	0	601.38	42.491
0	0	602.09	42.491
0	0	602.8	42.491
0	0	603.51	42.491
0	0	604.22	42.491
0	0	604.93	42.491
0	0	605.64	42.491
0	0	606.35	42.491
0	0	607.06	42.491
0	0	607.77	42.491
0	0	608.48	42.491
0	0	609.19	42.491
0	0	609.9	42.491
0	0	610.61	42.491
0	0	611.32	42.491
0	0	612.03	42.491
0	0	612.74	42.491
0	0	613.45	42.491
0	0	614.16	42.491
0	0	614.87	42.491
0	0	615.58	42.491
0	0	616.29	42.543
0	0	617	42.543
0	0	617.71	42.543
0	0	618.42	42.543
0	0	619.13	42.543
0	0	619.84	42.543
0	0	620.55	42.543
0	0	621.26	42.543
0	0	621.97	42.543
0	0	622.68	42.543
0	0	623.39	42.543
0	0	624.1	42.543
0	0	624.81	42.543
0	0	625.52	42.543
0	0	626.23	42.543
0	0	626.94	42.543
0	0	627.65	42.543
0	0	628.36	42.543
0	0	629.07	42.543
0	0	629.78	42.543
0	0	630.49	42.543
0	0	631.2	42.543
0	0	631.91	42.455
0	0	632.62	42.455
0	0	633.33	42.455
0	0	634.04	42.455
0	0	634.75	42.455
0	0	635.46	42.455
0	0	636.17	42.455
0	0	636.88	42.455
0	0	637.59	42.455
0	0	638.3	42.455
0	0	639.01	42.455
0	0	639.72	42.455
0	0	640.43	42.455
0	0	641.14	42.455
0	0	641.85	42.455
0	0	642.56	42.455
0	0	643.27	42.455
0	0	643.98	42.455
0	0	644.69	42.455
0	0	645.4	42.455
0	0	646.11	42.455
0	0	646.82	42.455
0	0	647.53	42.286
0	0	648.24	42.286
0	0	648.95	42.286
0	0	649.66	42.286
0	0	650.37	42.286
0	0	651.08	42.286
0	0	651.79	42.286
0	0	652.5	42.286
0	0	653.21	42.286
0	0	653.92	42.286
0	0	654.63	42.286
0	0	655.34	42.286
0	0	656.05	42.286
0	0	656.76	42.286
0	0	657.47	42.286
0	0	658.18	42.286
0	0	658.89	42.286
0	0	659.6	42.286
0	0	660.31	42.286
0	0	661.02	42.286
0	0	661.73	42.286
0	0	662.44	42.286
0	0	663.15	42.231
0	0	663.86	42.231
0	0	664.57	42.231
0	0	665.28	42.231
0	0	665.99	42.231
0	0	666.7	42.231
0	0	667.41	42.231
0	0	668.12	42.231
0	0	668.83	42.231
0	0	669.54	42.231
0	0	670.25	42.231
0	0	670.96	42.231
0	0	671.67	42.231
0	0	672.38	42.231
0	0	673.09	42.231
0	0	673.8	42.231
0	0	674.51	42.231
0	0	675.22	42.231
0	0	675.93	42.231
0	0	676.64	42.231
0	0	677.35	42.231
0	0	678.06	42.231
0	0	678.77	42.094
0	0	679.48	42.094
0	0	680.19	42.094
0	0	680.9	42.094
0	0	681.61	42.094
0	0	682.32	42.094
0	0	683.03	42.094
0	0	683.74	42.094
0	0	684.45	42.094
0	0	685.16	42.094
0	0	685.87	42.094
0	0	686.58	42.094
0	0	687.29	42.094
0	0	688	42.094
]
% 4th point
x_87 = [-22	42.97	-22	30.24
-12	34.672	-21.29	30.24
-2	17.315	-20.58	30.24
8	-1.22	-19.87	30.24
18	-9.983	-19.16	30.24
28	-12.393	-18.45	30.24
38	-12.867	-17.74	30.24
48	-12.725	-17.03	30.24
58	-12.605	-16.32	30.24
68	-12.35	-15.61	30.24
78	-12.033	-14.9	30.24
88	-11.333	-14.19	30.24
98	-10.733	-13.48	30.24
108	-9.913	-12.77	30.24
118	-9.025	-12.06	30.24
128	-8.052	-11.35	30.24
138	-6.746	-10.64	30.24
148	-5.519	-9.93	30.24
158	-4.275	-9.22	12.817
168	-2.768	-8.51	12.817
178	-1.481	-7.8	12.817
188	-0.099	-7.09	12.817
198	1.288	-6.38	12.817
208	2.766	-5.67	12.817
218	4.418	-4.96	12.817
228	7.048	-4.25	12.817
238	11.003	-3.54	12.817
248	16.489	-2.83	12.817
258	23.495	-2.12	12.817
268	31.954	-1.41	12.817
278	39.721	-0.7	12.817
288	43.366	1.00E-02	12.817
298	43.581	0.72	12.817
318	43.201	1.43	12.817
338	42.865	2.14	12.817
358	42.639	2.85	12.817
378	42.463	3.56	12.817
408	42.188	4.27	12.817
438	41.964	4.98	12.817
468	41.767	5.69	12.817
508	41.552	6.4	-1.9097
548	41.338	7.11	-1.9097
588	41.33	7.82	-1.9097
638	41.305	8.53	-1.9097
688	41.169	9.24	-1.9097
0	0	9.95	-1.9097
0	0	10.66	-1.9097
0	0	11.37	-1.9097
0	0	12.08	-1.9097
0	0	12.79	-1.9097
0	0	13.5	-1.9097
0	0	14.21	-1.9097
0	0	14.92	-1.9097
0	0	15.63	-1.9097
0	0	16.34	-1.9097
0	0	17.05	-1.9097
0	0	17.76	-1.9097
0	0	18.47	-1.9097
0	0	19.18	-1.9097
0	0	19.89	-1.9097
0	0	20.6	-1.9097
0	0	21.31	-1.9097
0	0	22.02	-8.6768
0	0	22.73	-8.6768
0	0	23.44	-8.6768
0	0	24.15	-8.6768
0	0	24.86	-8.6768
0	0	25.57	-8.6768
0	0	26.28	-8.6768
0	0	26.99	-8.6768
0	0	27.7	-8.6768
0	0	28.41	-8.6768
0	0	29.12	-8.6768
0	0	29.83	-8.6768
0	0	30.54	-8.6768
0	0	31.25	-8.6768
0	0	31.96	-8.6768
0	0	32.67	-8.6768
0	0	33.38	-8.6768
0	0	34.09	-8.6768
0	0	34.8	-8.6768
0	0	35.51	-8.6768
0	0	36.22	-8.6768
0	0	36.93	-8.6768
0	0	37.64	-11.698
0	0	38.35	-11.698
0	0	39.06	-11.698
0	0	39.77	-11.698
0	0	40.48	-11.698
0	0	41.19	-11.698
0	0	41.9	-11.698
0	0	42.61	-11.698
0	0	43.32	-11.698
0	0	44.03	-11.698
0	0	44.74	-11.698
0	0	45.45	-11.698
0	0	46.16	-11.698
0	0	46.87	-11.698
0	0	47.58	-11.698
0	0	48.29	-11.698
0	0	49	-11.698
0	0	49.71	-11.698
0	0	50.42	-11.698
0	0	51.13	-11.698
0	0	51.84	-11.698
0	0	52.55	-11.698
0	0	53.26	-12.699
0	0	53.97	-12.699
0	0	54.68	-12.699
0	0	55.39	-12.699
0	0	56.1	-12.699
0	0	56.81	-12.699
0	0	57.52	-12.699
0	0	58.23	-12.699
0	0	58.94	-12.699
0	0	59.65	-12.699
0	0	60.36	-12.699
0	0	61.07	-12.699
0	0	61.78	-12.699
0	0	62.49	-12.699
0	0	63.2	-12.699
0	0	63.91	-12.699
0	0	64.62	-12.699
0	0	65.33	-12.699
0	0	66.04	-12.699
0	0	66.75	-12.699
0	0	67.46	-12.699
0	0	68.17	-12.699
0	0	68.88	-12.217
0	0	69.59	-12.217
0	0	70.3	-12.217
0	0	71.01	-12.217
0	0	71.72	-12.217
0	0	72.43	-12.217
0	0	73.14	-12.217
0	0	73.85	-12.217
0	0	74.56	-12.217
0	0	75.27	-12.217
0	0	75.98	-12.217
0	0	76.69	-12.217
0	0	77.4	-12.217
0	0	78.11	-12.217
0	0	78.82	-12.217
0	0	79.53	-12.217
0	0	80.24	-12.217
0	0	80.95	-12.217
0	0	81.66	-12.217
0	0	82.37	-12.217
0	0	83.08	-12.217
0	0	83.79	-12.217
0	0	84.5	-10.723
0	0	85.21	-10.723
0	0	85.92	-10.723
0	0	86.63	-10.723
0	0	87.34	-10.723
0	0	88.05	-10.723
0	0	88.76	-10.723
0	0	89.47	-10.723
0	0	90.18	-10.723
0	0	90.89	-10.723
0	0	91.6	-10.723
0	0	92.31	-10.723
0	0	93.02	-10.723
0	0	93.73	-10.723
0	0	94.44	-10.723
0	0	95.15	-10.723
0	0	95.86	-10.723
0	0	96.57	-10.723
0	0	97.28	-10.723
0	0	97.99	-10.723
0	0	98.7	-10.723
0	0	99.41	-10.723
0	0	100.12	-8.8315
0	0	100.83	-8.8315
0	0	101.54	-8.8315
0	0	102.25	-8.8315
0	0	102.96	-8.8315
0	0	103.67	-8.8315
0	0	104.38	-8.8315
0	0	105.09	-8.8315
0	0	105.8	-8.8315
0	0	106.51	-8.8315
0	0	107.22	-8.8315
0	0	107.93	-8.8315
0	0	108.64	-8.8315
0	0	109.35	-8.8315
0	0	110.06	-8.8315
0	0	110.77	-8.8315
0	0	111.48	-8.8315
0	0	112.19	-8.8315
0	0	112.9	-8.8315
0	0	113.61	-8.8315
0	0	114.32	-8.8315
0	0	115.03	-8.8315
0	0	115.74	-6.4804
0	0	116.45	-6.4804
0	0	117.16	-6.4804
0	0	117.87	-6.4804
0	0	118.58	-6.4804
0	0	119.29	-6.4804
0	0	120	-6.4804
0	0	120.71	-6.4804
0	0	121.42	-6.4804
0	0	122.13	-6.4804
0	0	122.84	-6.4804
0	0	123.55	-6.4804
0	0	124.26	-6.4804
0	0	124.97	-6.4804
0	0	125.68	-6.4804
0	0	126.39	-6.4804
0	0	127.1	-6.4804
0	0	127.81	-6.4804
0	0	128.52	-6.4804
0	0	129.23	-6.4804
0	0	129.94	-6.4804
0	0	130.65	-6.4804
0	0	131.36	-3.0068
0	0	132.07	-3.0068
0	0	132.78	-3.0068
0	0	133.49	-3.0068
0	0	134.2	-3.0068
0	0	134.91	-3.0068
0	0	135.62	-3.0068
0	0	136.33	-3.0068
0	0	137.04	-3.0068
0	0	137.75	-3.0068
0	0	138.46	-3.0068
0	0	139.17	-3.0068
0	0	139.88	-3.0068
0	0	140.59	-3.0068
0	0	141.3	-3.0068
0	0	142.01	-3.0068
0	0	142.72	-3.0068
0	0	143.43	-3.0068
0	0	144.14	-3.0068
0	0	144.85	-3.0068
0	0	145.56	-3.0068
0	0	146.27	-3.0068
0	0	146.98	1.0084
0	0	147.69	1.0084
0	0	148.4	1.0084
0	0	149.11	1.0084
0	0	149.82	1.0084
0	0	150.53	1.0084
0	0	151.24	1.0084
0	0	151.95	1.0084
0	0	152.66	1.0084
0	0	153.37	1.0084
0	0	154.08	1.0084
0	0	154.79	1.0084
0	0	155.5	1.0084
0	0	156.21	1.0084
0	0	156.92	1.0084
0	0	157.63	1.0084
0	0	158.34	1.0084
0	0	159.05	1.0084
0	0	159.76	1.0084
0	0	160.47	1.0084
0	0	161.18	1.0084
0	0	161.89	1.0084
0	0	162.6	5.4051
0	0	163.31	5.4051
0	0	164.02	5.4051
0	0	164.73	5.4051
0	0	165.44	5.4051
0	0	166.15	5.4051
0	0	166.86	5.4051
0	0	167.57	5.4051
0	0	168.28	5.4051
0	0	168.99	5.4051
0	0	169.7	5.4051
0	0	170.41	5.4051
0	0	171.12	5.4051
0	0	171.83	5.4051
0	0	172.54	5.4051
0	0	173.25	5.4051
0	0	173.96	5.4051
0	0	174.67	5.4051
0	0	175.38	5.4051
0	0	176.09	5.4051
0	0	176.8	5.4051
0	0	177.51	5.4051
0	0	178.22	10.327
0	0	178.93	10.327
0	0	179.64	10.327
0	0	180.35	10.327
0	0	181.06	10.327
0	0	181.77	10.327
0	0	182.48	10.327
0	0	183.19	10.327
0	0	183.9	10.327
0	0	184.61	10.327
0	0	185.32	10.327
0	0	186.03	10.327
0	0	186.74	10.327
0	0	187.45	10.327
0	0	188.16	10.327
0	0	188.87	10.327
0	0	189.58	10.327
0	0	190.29	10.327
0	0	191	10.327
0	0	191.71	10.327
0	0	192.42	10.327
0	0	193.13	10.327
0	0	193.84	16.264
0	0	194.55	16.264
0	0	195.26	16.264
0	0	195.97	16.264
0	0	196.68	16.264
0	0	197.39	16.264
0	0	198.1	16.264
0	0	198.81	16.264
0	0	199.52	16.264
0	0	200.23	16.264
0	0	200.94	16.264
0	0	201.65	16.264
0	0	202.36	16.264
0	0	203.07	16.264
0	0	203.78	16.264
0	0	204.49	16.264
0	0	205.2	16.264
0	0	205.91	16.264
0	0	206.62	16.264
0	0	207.33	16.264
0	0	208.04	16.264
0	0	208.75	16.264
0	0	209.46	24.447
0	0	210.17	24.447
0	0	210.88	24.447
0	0	211.59	24.447
0	0	212.3	24.447
0	0	213.01	24.447
0	0	213.72	24.447
0	0	214.43	24.447
0	0	215.14	24.447
0	0	215.85	24.447
0	0	216.56	24.447
0	0	217.27	24.447
0	0	217.98	24.447
0	0	218.69	24.447
0	0	219.4	24.447
0	0	220.11	24.447
0	0	220.82	24.447
0	0	221.53	24.447
0	0	222.24	24.447
0	0	222.95	24.447
0	0	223.66	24.447
0	0	224.37	24.447
0	0	225.08	33.414
0	0	225.79	33.414
0	0	226.5	33.414
0	0	227.21	33.414
0	0	227.92	33.414
0	0	228.63	33.414
0	0	229.34	33.414
0	0	230.05	33.414
0	0	230.76	33.414
0	0	231.47	33.414
0	0	232.18	33.414
0	0	232.89	33.414
0	0	233.6	33.414
0	0	234.31	33.414
0	0	235.02	33.414
0	0	235.73	33.414
0	0	236.44	33.414
0	0	237.15	33.414
0	0	237.86	33.414
0	0	238.57	33.414
0	0	239.28	33.414
0	0	239.99	33.414
0	0	240.7	36.753
0	0	241.41	36.753
0	0	242.12	36.753
0	0	242.83	36.753
0	0	243.54	36.753
0	0	244.25	36.753
0	0	244.96	36.753
0	0	245.67	36.753
0	0	246.38	36.753
0	0	247.09	36.753
0	0	247.8	36.753
0	0	248.51	36.753
0	0	249.22	36.753
0	0	249.93	36.753
0	0	250.64	36.753
0	0	251.35	36.753
0	0	252.06	36.753
0	0	252.77	36.753
0	0	253.48	36.753
0	0	254.19	36.753
0	0	254.9	36.753
0	0	255.61	36.753
0	0	256.32	38.437
0	0	257.03	38.437
0	0	257.74	38.437
0	0	258.45	38.437
0	0	259.16	38.437
0	0	259.87	38.437
0	0	260.58	38.437
0	0	261.29	38.437
0	0	262	38.437
0	0	262.71	38.437
0	0	263.42	38.437
0	0	264.13	38.437
0	0	264.84	38.437
0	0	265.55	38.437
0	0	266.26	38.437
0	0	266.97	38.437
0	0	267.68	38.437
0	0	268.39	38.437
0	0	269.1	38.437
0	0	269.81	38.437
0	0	270.52	38.437
0	0	271.23	38.437
0	0	271.94	40.029
0	0	272.65	40.029
0	0	273.36	40.029
0	0	274.07	40.029
0	0	274.78	40.029
0	0	275.49	40.029
0	0	276.2	40.029
0	0	276.91	40.029
0	0	277.62	40.029
0	0	278.33	40.029
0	0	279.04	40.029
0	0	279.75	40.029
0	0	280.46	40.029
0	0	281.17	40.029
0	0	281.88	40.029
0	0	282.59	40.029
0	0	283.3	40.029
0	0	284.01	40.029
0	0	284.72	40.029
0	0	285.43	40.029
0	0	286.14	40.029
0	0	286.85	40.029
0	0	287.56	40.566
0	0	288.27	40.566
0	0	288.98	40.566
0	0	289.69	40.566
0	0	290.4	40.566
0	0	291.11	40.566
0	0	291.82	40.566
0	0	292.53	40.566
0	0	293.24	40.566
0	0	293.95	40.566
0	0	294.66	40.566
0	0	295.37	40.566
0	0	296.08	40.566
0	0	296.79	40.566
0	0	297.5	40.566
0	0	298.21	40.566
0	0	298.92	40.566
0	0	299.63	40.566
0	0	300.34	40.566
0	0	301.05	40.566
0	0	301.76	40.566
0	0	302.47	40.566
0	0	303.18	41.054
0	0	303.89	41.054
0	0	304.6	41.054
0	0	305.31	41.054
0	0	306.02	41.054
0	0	306.73	41.054
0	0	307.44	41.054
0	0	308.15	41.054
0	0	308.86	41.054
0	0	309.57	41.054
0	0	310.28	41.054
0	0	310.99	41.054
0	0	311.7	41.054
0	0	312.41	41.054
0	0	313.12	41.054
0	0	313.83	41.054
0	0	314.54	41.054
0	0	315.25	41.054
0	0	315.96	41.054
0	0	316.67	41.054
0	0	317.38	41.054
0	0	318.09	41.054
0	0	318.8	40.989
0	0	319.51	40.989
0	0	320.22	40.989
0	0	320.93	40.989
0	0	321.64	40.989
0	0	322.35	40.989
0	0	323.06	40.989
0	0	323.77	40.989
0	0	324.48	40.989
0	0	325.19	40.989
0	0	325.9	40.989
0	0	326.61	40.989
0	0	327.32	40.989
0	0	328.03	40.989
0	0	328.74	40.989
0	0	329.45	40.989
0	0	330.16	40.989
0	0	330.87	40.989
0	0	331.58	40.989
0	0	332.29	40.989
0	0	333	40.989
0	0	333.71	40.989
0	0	334.42	41.089
0	0	335.13	41.089
0	0	335.84	41.089
0	0	336.55	41.089
0	0	337.26	41.089
0	0	337.97	41.089
0	0	338.68	41.089
0	0	339.39	41.089
0	0	340.1	41.089
0	0	340.81	41.089
0	0	341.52	41.089
0	0	342.23	41.089
0	0	342.94	41.089
0	0	343.65	41.089
0	0	344.36	41.089
0	0	345.07	41.089
0	0	345.78	41.089
0	0	346.49	41.089
0	0	347.2	41.089
0	0	347.91	41.089
0	0	348.62	41.089
0	0	349.33	41.089
0	0	350.04	41.913
0	0	350.75	41.913
0	0	351.46	41.913
0	0	352.17	41.913
0	0	352.88	41.913
0	0	353.59	41.913
0	0	354.3	41.913
0	0	355.01	41.913
0	0	355.72	41.913
0	0	356.43	41.913
0	0	357.14	41.913
0	0	357.85	41.913
0	0	358.56	41.913
0	0	359.27	41.913
0	0	359.98	41.913
0	0	360.69	41.913
0	0	361.4	41.913
0	0	362.11	41.913
0	0	362.82	41.913
0	0	363.53	41.913
0	0	364.24	41.913
0	0	364.95	41.913
0	0	365.66	41.424
0	0	366.37	41.424
0	0	367.08	41.424
0	0	367.79	41.424
0	0	368.5	41.424
0	0	369.21	41.424
0	0	369.92	41.424
0	0	370.63	41.424
0	0	371.34	41.424
0	0	372.05	41.424
0	0	372.76	41.424
0	0	373.47	41.424
0	0	374.18	41.424
0	0	374.89	41.424
0	0	375.6	41.424
0	0	376.31	41.424
0	0	377.02	41.424
0	0	377.73	41.424
0	0	378.44	41.424
0	0	379.15	41.424
0	0	379.86	41.424
0	0	380.57	41.424
0	0	381.28	41.661
0	0	381.99	41.661
0	0	382.7	41.661
0	0	383.41	41.661
0	0	384.12	41.661
0	0	384.83	41.661
0	0	385.54	41.661
0	0	386.25	41.661
0	0	386.96	41.661
0	0	387.67	41.661
0	0	388.38	41.661
0	0	389.09	41.661
0	0	389.8	41.661
0	0	390.51	41.661
0	0	391.22	41.661
0	0	391.93	41.661
0	0	392.64	41.661
0	0	393.35	41.661
0	0	394.06	41.661
0	0	394.77	41.661
0	0	395.48	41.661
0	0	396.19	41.661
0	0	396.9	41.598
0	0	397.61	41.598
0	0	398.32	41.598
0	0	399.03	41.598
0	0	399.74	41.598
0	0	400.45	41.598
0	0	401.16	41.598
0	0	401.87	41.598
0	0	402.58	41.598
0	0	403.29	41.598
0	0	404	41.598
0	0	404.71	41.598
0	0	405.42	41.598
0	0	406.13	41.598
0	0	406.84	41.598
0	0	407.55	41.598
0	0	408.26	41.598
0	0	408.97	41.598
0	0	409.68	41.598
0	0	410.39	41.598
0	0	411.1	41.598
0	0	411.81	41.598
0	0	412.52	41.446
0	0	413.23	41.446
0	0	413.94	41.446
0	0	414.65	41.446
0	0	415.36	41.446
0	0	416.07	41.446
0	0	416.78	41.446
0	0	417.49	41.446
0	0	418.2	41.446
0	0	418.91	41.446
0	0	419.62	41.446
0	0	420.33	41.446
0	0	421.04	41.446
0	0	421.75	41.446
0	0	422.46	41.446
0	0	423.17	41.446
0	0	423.88	41.446
0	0	424.59	41.446
0	0	425.3	41.446
0	0	426.01	41.446
0	0	426.72	41.446
0	0	427.43	41.446
0	0	428.14	41.557
0	0	428.85	41.557
0	0	429.56	41.557
0	0	430.27	41.557
0	0	430.98	41.557
0	0	431.69	41.557
0	0	432.4	41.557
0	0	433.11	41.557
0	0	433.82	41.557
0	0	434.53	41.557
0	0	435.24	41.557
0	0	435.95	41.557
0	0	436.66	41.557
0	0	437.37	41.557
0	0	438.08	41.557
0	0	438.79	41.557
0	0	439.5	41.557
0	0	440.21	41.557
0	0	440.92	41.557
0	0	441.63	41.557
0	0	442.34	41.557
0	0	443.05	41.557
0	0	443.76	41.651
0	0	444.47	41.651
0	0	445.18	41.651
0	0	445.89	41.651
0	0	446.6	41.651
0	0	447.31	41.651
0	0	448.02	41.651
0	0	448.73	41.651
0	0	449.44	41.651
0	0	450.15	41.651
0	0	450.86	41.651
0	0	451.57	41.651
0	0	452.28	41.651
0	0	452.99	41.651
0	0	453.7	41.651
0	0	454.41	41.651
0	0	455.12	41.651
0	0	455.83	41.651
0	0	456.54	41.651
0	0	457.25	41.651
0	0	457.96	41.651
0	0	458.67	41.651
0	0	459.38	41.716
0	0	460.09	41.716
0	0	460.8	41.716
0	0	461.51	41.716
0	0	462.22	41.716
0	0	462.93	41.716
0	0	463.64	41.716
0	0	464.35	41.716
0	0	465.06	41.716
0	0	465.77	41.716
0	0	466.48	41.716
0	0	467.19	41.716
0	0	467.9	41.716
0	0	468.61	41.716
0	0	469.32	41.716
0	0	470.03	41.716
0	0	470.74	41.716
0	0	471.45	41.716
0	0	472.16	41.716
0	0	472.87	41.716
0	0	473.58	41.716
0	0	474.29	41.716
0	0	475	41.716
0	0	475.71	41.989
0	0	476.42	41.989
0	0	477.13	41.989
0	0	477.84	41.989
0	0	478.55	41.989
0	0	479.26	41.989
0	0	479.97	41.989
0	0	480.68	41.989
0	0	481.39	41.989
0	0	482.1	41.989
0	0	482.81	41.989
0	0	483.52	41.989
0	0	484.23	41.989
0	0	484.94	41.989
0	0	485.65	41.989
0	0	486.36	41.989
0	0	487.07	41.989
0	0	487.78	41.989
0	0	488.49	41.989
0	0	489.2	41.989
0	0	489.91	41.989
0	0	490.62	41.989
0	0	491.33	42.275
0	0	492.04	42.275
0	0	492.75	42.275
0	0	493.46	42.275
0	0	494.17	42.275
0	0	494.88	42.275
0	0	495.59	42.275
0	0	496.3	42.275
0	0	497.01	42.275
0	0	497.72	42.275
0	0	498.43	42.275
0	0	499.14	42.275
0	0	499.85	42.275
0	0	500.56	42.275
0	0	501.27	42.275
0	0	501.98	42.275
0	0	502.69	42.275
0	0	503.4	42.275
0	0	504.11	42.275
0	0	504.82	42.275
0	0	505.53	42.275
0	0	506.24	42.275
0	0	506.95	42.399
0	0	507.66	42.399
0	0	508.37	42.399
0	0	509.08	42.399
0	0	509.79	42.399
0	0	510.5	42.399
0	0	511.21	42.399
0	0	511.92	42.399
0	0	512.63	42.399
0	0	513.34	42.399
0	0	514.05	42.399
0	0	514.76	42.399
0	0	515.47	42.399
0	0	516.18	42.399
0	0	516.89	42.399
0	0	517.6	42.399
0	0	518.31	42.399
0	0	519.02	42.399
0	0	519.73	42.399
0	0	520.44	42.399
0	0	521.15	42.399
0	0	521.86	42.399
0	0	522.57	42.414
0	0	523.28	42.414
0	0	523.99	42.414
0	0	524.7	42.414
0	0	525.41	42.414
0	0	526.12	42.414
0	0	526.83	42.414
0	0	527.54	42.414
0	0	528.25	42.414
0	0	528.96	42.414
0	0	529.67	42.414
0	0	530.38	42.414
0	0	531.09	42.414
0	0	531.8	42.414
0	0	532.51	42.414
0	0	533.22	42.414
0	0	533.93	42.414
0	0	534.64	42.414
0	0	535.35	42.414
0	0	536.06	42.414
0	0	536.77	42.414
0	0	537.48	42.414
0	0	538.19	42.336
0	0	538.9	42.336
0	0	539.61	42.336
0	0	540.32	42.336
0	0	541.03	42.336
0	0	541.74	42.336
0	0	542.45	42.336
0	0	543.16	42.336
0	0	543.87	42.336
0	0	544.58	42.336
0	0	545.29	42.336
0	0	546	42.336
0	0	546.71	42.336
0	0	547.42	42.336
0	0	548.13	42.336
0	0	548.84	42.336
0	0	549.55	42.336
0	0	550.26	42.336
0	0	550.97	42.336
0	0	551.68	42.336
0	0	552.39	42.336
0	0	553.1	42.336
0	0	553.81	42.08
0	0	554.52	42.08
0	0	555.23	42.08
0	0	555.94	42.08
0	0	556.65	42.08
0	0	557.36	42.08
0	0	558.07	42.08
0	0	558.78	42.08
0	0	559.49	42.08
0	0	560.2	42.08
0	0	560.91	42.08
0	0	561.62	42.08
0	0	562.33	42.08
0	0	563.04	42.08
0	0	563.75	42.08
0	0	564.46	42.08
0	0	565.17	42.08
0	0	565.88	42.08
0	0	566.59	42.08
0	0	567.3	42.08
0	0	568.01	42.08
0	0	568.72	42.08
0	0	569.43	41.973
0	0	570.14	41.973
0	0	570.85	41.973
0	0	571.56	41.973
0	0	572.27	41.973
0	0	572.98	41.973
0	0	573.69	41.973
0	0	574.4	41.973
0	0	575.11	41.973
0	0	575.82	41.973
0	0	576.53	41.973
0	0	577.24	41.973
0	0	577.95	41.973
0	0	578.66	41.973
0	0	579.37	41.973
0	0	580.08	41.973
0	0	580.79	41.973
0	0	581.5	41.973
0	0	582.21	41.973
0	0	582.92	41.973
0	0	583.63	41.973
0	0	584.34	41.973
0	0	585.05	42.033
0	0	585.76	42.033
0	0	586.47	42.033
0	0	587.18	42.033
0	0	587.89	42.033
0	0	588.6	42.033
0	0	589.31	42.033
0	0	590.02	42.033
0	0	590.73	42.033
0	0	591.44	42.033
0	0	592.15	42.033
0	0	592.86	42.033
0	0	593.57	42.033
0	0	594.28	42.033
0	0	594.99	42.033
0	0	595.7	42.033
0	0	596.41	42.033
0	0	597.12	42.033
0	0	597.83	42.033
0	0	598.54	42.033
0	0	599.25	42.033
0	0	599.96	42.033
0	0	600.67	42.139
0	0	601.38	42.139
0	0	602.09	42.139
0	0	602.8	42.139
0	0	603.51	42.139
0	0	604.22	42.139
0	0	604.93	42.139
0	0	605.64	42.139
0	0	606.35	42.139
0	0	607.06	42.139
0	0	607.77	42.139
0	0	608.48	42.139
0	0	609.19	42.139
0	0	609.9	42.139
0	0	610.61	42.139
0	0	611.32	42.139
0	0	612.03	42.139
0	0	612.74	42.139
0	0	613.45	42.139
0	0	614.16	42.139
0	0	614.87	42.139
0	0	615.58	42.139
0	0	616.29	42.196
0	0	617	42.196
0	0	617.71	42.196
0	0	618.42	42.196
0	0	619.13	42.196
0	0	619.84	42.196
0	0	620.55	42.196
0	0	621.26	42.196
0	0	621.97	42.196
0	0	622.68	42.196
0	0	623.39	42.196
0	0	624.1	42.196
0	0	624.81	42.196
0	0	625.52	42.196
0	0	626.23	42.196
0	0	626.94	42.196
0	0	627.65	42.196
0	0	628.36	42.196
0	0	629.07	42.196
0	0	629.78	42.196
0	0	630.49	42.196
0	0	631.2	42.196
0	0	631.91	42.111
0	0	632.62	42.111
0	0	633.33	42.111
0	0	634.04	42.111
0	0	634.75	42.111
0	0	635.46	42.111
0	0	636.17	42.111
0	0	636.88	42.111
0	0	637.59	42.111
0	0	638.3	42.111
0	0	639.01	42.111
0	0	639.72	42.111
0	0	640.43	42.111
0	0	641.14	42.111
0	0	641.85	42.111
0	0	642.56	42.111
0	0	643.27	42.111
0	0	643.98	42.111
0	0	644.69	42.111
0	0	645.4	42.111
0	0	646.11	42.111
0	0	646.82	42.111
0	0	647.53	41.968
0	0	648.24	41.968
0	0	648.95	41.968
0	0	649.66	41.968
0	0	650.37	41.968
0	0	651.08	41.968
0	0	651.79	41.968
0	0	652.5	41.968
0	0	653.21	41.968
0	0	653.92	41.968
0	0	654.63	41.968
0	0	655.34	41.968
0	0	656.05	41.968
0	0	656.76	41.968
0	0	657.47	41.968
0	0	658.18	41.968
0	0	658.89	41.968
0	0	659.6	41.968
0	0	660.31	41.968
0	0	661.02	41.968
0	0	661.73	41.968
0	0	662.44	41.968
0	0	663.15	41.926
0	0	663.86	41.926
0	0	664.57	41.926
0	0	665.28	41.926
0	0	665.99	41.926
0	0	666.7	41.926
0	0	667.41	41.926
0	0	668.12	41.926
0	0	668.83	41.926
0	0	669.54	41.926
0	0	670.25	41.926
0	0	670.96	41.926
0	0	671.67	41.926
0	0	672.38	41.926
0	0	673.09	41.926
0	0	673.8	41.926
0	0	674.51	41.926
0	0	675.22	41.926
0	0	675.93	41.926
0	0	676.64	41.926
0	0	677.35	41.926
0	0	678.06	41.926
0	0	678.77	41.807
0	0	679.48	41.807
0	0	680.19	41.807
0	0	680.9	41.807
0	0	681.61	41.807
0	0	682.32	41.807
0	0	683.03	41.807
0	0	683.74	41.807
0	0	684.45	41.807
0	0	685.16	41.807
0	0	685.87	41.807
0	0	686.58	41.807
0	0	687.29	41.807
0	0	688	41.807
]
% 5th point
x_113 = [256	-2.858	256	5.7163
258	-2.967	256.43	12.012
263	-3.021	256.86	12.012
268	-2.596	257.3	12.012
273	1.796	257.73	12.012
278	11.262	258.16	12.012
283	23.088	258.59	12.012
288	34.692	259.02	12.012
298	42.333	259.46	12.012
308	44.254	259.89	12.012
318	44.098	260.32	12.012
328	43.928	260.75	12.012
338	43.771	261.18	12.012
358	43.481	261.62	12.012
378	43.208	262.05	12.012
408	42.924	262.48	12.012
438	42.593	262.91	12.012
468	42.343	263.34	12.012
508	42.032	263.78	12.012
548	41.776	264.21	21.221
588	41.698	264.64	21.221
638	41.621	265.07	21.221
688	41.425	265.5	21.221
0	0	265.94	21.221
0	0	266.37	21.221
0	0	266.8	21.221
0	0	267.23	21.221
0	0	267.66	21.221
0	0	268.1	21.221
0	0	268.53	21.221
0	0	268.96	21.221
0	0	269.39	21.221
0	0	269.82	21.221
0	0	270.26	21.221
0	0	270.69	21.221
0	0	271.12	21.221
0	0	271.55	21.221
0	0	271.98	31.593
0	0	272.42	31.593
0	0	272.85	31.593
0	0	273.28	31.593
0	0	273.71	31.593
0	0	274.14	31.593
0	0	274.58	31.593
0	0	275.01	31.593
0	0	275.44	31.593
0	0	275.87	31.593
0	0	276.3	31.593
0	0	276.74	31.593
0	0	277.17	31.593
0	0	277.6	31.593
0	0	278.03	31.593
0	0	278.46	31.593
0	0	278.9	31.593
0	0	279.33	31.593
0	0	279.76	37.765
0	0	280.19	37.765
0	0	280.62	37.765
0	0	281.06	37.765
0	0	281.49	37.765
0	0	281.92	37.765
0	0	282.35	37.765
0	0	282.78	37.765
0	0	283.22	37.765
0	0	283.65	37.765
0	0	284.08	37.765
0	0	284.51	37.765
0	0	284.94	37.765
0	0	285.38	37.765
0	0	285.81	37.765
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0	0	553.65	43.689
0	0	554.08	43.689
0	0	554.51	43.689
0	0	554.94	43.689
0	0	555.38	43.689
0	0	555.81	43.689
0	0	556.24	43.689
0	0	556.67	43.689
0	0	557.1	43.689
0	0	557.54	43.689
0	0	557.97	43.689
0	0	558.4	43.689
0	0	558.83	43.689
0	0	559.26	43.689
0	0	559.7	43.689
0	0	560.13	43.689
0	0	560.56	43.689
0	0	560.99	43.689
0	0	561.42	43.689
0	0	561.86	43.689
0	0	562.29	43.689
0	0	562.72	43.689
0	0	563.15	43.689
0	0	563.58	43.689
0	0	564.02	43.689
0	0	564.45	43.689
0	0	564.88	43.689
0	0	565.31	43.689
0	0	565.74	43.689
0	0	566.18	43.689
0	0	566.61	43.689
0	0	567.04	43.689
0	0	567.47	43.689
0	0	567.9	43.689
0	0	568.34	43.689
0	0	568.77	43.476
0	0	569.2	43.476
0	0	569.63	43.476
0	0	570.06	43.476
0	0	570.5	43.476
0	0	570.93	43.476
0	0	571.36	43.476
0	0	571.79	43.476
0	0	572.22	43.476
0	0	572.66	43.476
0	0	573.09	43.476
0	0	573.52	43.476
0	0	573.95	43.476
0	0	574.38	43.476
0	0	574.82	43.476
0	0	575.25	43.476
0	0	575.68	43.476
0	0	576.11	43.476
0	0	576.54	43.476
0	0	576.98	43.476
0	0	577.41	43.476
0	0	577.84	43.476
0	0	578.27	43.476
0	0	578.7	43.476
0	0	579.14	43.476
0	0	579.57	43.476
0	0	580	43.476
0	0	580.43	43.476
0	0	580.86	43.476
0	0	581.3	43.476
0	0	581.73	43.476
0	0	582.16	43.476
0	0	582.59	43.476
0	0	583.02	43.476
0	0	583.46	43.476
0	0	583.89	43.476
0	0	584.32	43.476
0	0	584.75	43.402
0	0	585.18	43.402
0	0	585.62	43.402
0	0	586.05	43.402
0	0	586.48	43.402
0	0	586.91	43.402
0	0	587.34	43.402
0	0	587.78	43.402
0	0	588.21	43.402
0	0	588.64	43.402
0	0	589.07	43.402
0	0	589.5	43.402
0	0	589.94	43.402
0	0	590.37	43.402
0	0	590.8	43.402
0	0	591.23	43.402
0	0	591.66	43.402
0	0	592.1	43.402
0	0	592.53	43.402
0	0	592.96	43.402
0	0	593.39	43.402
0	0	593.82	43.402
0	0	594.26	43.402
0	0	594.69	43.402
0	0	595.12	43.402
0	0	595.55	43.402
0	0	595.98	43.402
0	0	596.42	43.402
0	0	596.85	43.402
0	0	597.28	43.402
0	0	597.71	43.402
0	0	598.14	43.402
0	0	598.58	43.402
0	0	599.01	43.402
0	0	599.44	43.402
0	0	599.87	43.402
0	0	600.3	43.44
0	0	600.74	43.44
0	0	601.17	43.44
0	0	601.6	43.44
0	0	602.03	43.44
0	0	602.46	43.44
0	0	602.9	43.44
0	0	603.33	43.44
0	0	603.76	43.44
0	0	604.19	43.44
0	0	604.62	43.44
0	0	605.06	43.44
0	0	605.49	43.44
0	0	605.92	43.44
0	0	606.35	43.44
0	0	606.78	43.44
0	0	607.22	43.44
0	0	607.65	43.44
0	0	608.08	43.44
0	0	608.51	43.44
0	0	608.94	43.44
0	0	609.38	43.44
0	0	609.81	43.44
0	0	610.24	43.44
0	0	610.67	43.44
0	0	611.1	43.44
0	0	611.54	43.44
0	0	611.97	43.44
0	0	612.4	43.44
0	0	612.83	43.44
0	0	613.26	43.44
0	0	613.7	43.44
0	0	614.13	43.44
0	0	614.56	43.44
0	0	614.99	43.44
0	0	615.42	43.44
0	0	615.86	43.409
0	0	616.29	43.409
0	0	616.72	43.409
0	0	617.15	43.409
0	0	617.58	43.409
0	0	618.02	43.409
0	0	618.45	43.409
0	0	618.88	43.409
0	0	619.31	43.409
0	0	619.74	43.409
0	0	620.18	43.409
0	0	620.61	43.409
0	0	621.04	43.409
0	0	621.47	43.409
0	0	621.9	43.409
0	0	622.34	43.409
0	0	622.77	43.409
0	0	623.2	43.409
0	0	623.63	43.409
0	0	624.06	43.409
0	0	624.5	43.409
0	0	624.93	43.409
0	0	625.36	43.409
0	0	625.79	43.409
0	0	626.22	43.409
0	0	626.66	43.409
0	0	627.09	43.409
0	0	627.52	43.409
0	0	627.95	43.409
0	0	628.38	43.409
0	0	628.82	43.409
0	0	629.25	43.409
0	0	629.68	43.409
0	0	630.11	43.409
0	0	630.54	43.409
0	0	630.98	43.409
0	0	631.41	43.327
0	0	631.84	43.327
0	0	632.27	43.327
0	0	632.7	43.327
0	0	633.14	43.327
0	0	633.57	43.327
0	0	634	43.327
0	0	634.43	43.327
0	0	634.86	43.327
0	0	635.3	43.327
0	0	635.73	43.327
0	0	636.16	43.327
0	0	636.59	43.327
0	0	637.02	43.327
0	0	637.46	43.327
0	0	637.89	43.327
0	0	638.32	43.327
0	0	638.75	43.327
0	0	639.18	43.327
0	0	639.62	43.327
0	0	640.05	43.327
0	0	640.48	43.327
0	0	640.91	43.327
0	0	641.34	43.327
0	0	641.78	43.327
0	0	642.21	43.327
0	0	642.64	43.327
0	0	643.07	43.327
0	0	643.5	43.327
0	0	643.94	43.327
0	0	644.37	43.327
0	0	644.8	43.327
0	0	645.23	43.327
0	0	645.66	43.327
0	0	646.1	43.327
0	0	646.53	43.327
0	0	646.96	43.099
0	0	647.39	43.099
0	0	647.82	43.099
0	0	648.26	43.099
0	0	648.69	43.099
0	0	649.12	43.099
0	0	649.55	43.099
0	0	649.98	43.099
0	0	650.42	43.099
0	0	650.85	43.099
0	0	651.28	43.099
0	0	651.71	43.099
0	0	652.14	43.099
0	0	652.58	43.099
0	0	653.01	43.099
0	0	653.44	43.099
0	0	653.87	43.099
0	0	654.3	43.099
0	0	654.74	43.099
0	0	655.17	43.099
0	0	655.6	43.099
0	0	656.03	43.099
0	0	656.46	43.099
0	0	656.9	43.099
0	0	657.33	43.099
0	0	657.76	43.099
0	0	658.19	43.099
0	0	658.62	43.099
0	0	659.06	43.099
0	0	659.49	43.099
0	0	659.92	43.099
0	0	660.35	43.099
0	0	660.78	43.099
0	0	661.22	43.099
0	0	661.65	43.099
0	0	662.08	43.099
0	0	662.51	42.999
0	0	662.94	42.999
0	0	663.38	42.999
0	0	663.81	42.999
0	0	664.24	42.999
0	0	664.67	42.999
0	0	665.1	42.999
0	0	665.54	42.999
0	0	665.97	42.999
0	0	666.4	42.999
0	0	666.83	42.999
0	0	667.26	42.999
0	0	667.7	42.999
0	0	668.13	42.999
0	0	668.56	42.999
0	0	668.99	42.999
0	0	669.42	42.999
0	0	669.86	42.999
0	0	670.29	42.999
0	0	670.72	42.999
0	0	671.15	42.999
0	0	671.58	42.999
0	0	672.02	42.999
0	0	672.45	42.999
0	0	672.88	42.999
0	0	673.31	42.999
0	0	673.74	42.999
0	0	674.18	42.999
0	0	674.61	42.999
0	0	675.04	42.999
0	0	675.47	42.999
0	0	675.9	42.999
0	0	676.34	42.999
0	0	676.77	42.999
0	0	677.2	42.999
0	0	677.63	42.999
0	0	678.06	42.999
0	0	678.5	42.805
0	0	678.93	42.805
0	0	679.36	42.805
0	0	679.79	42.805
0	0	680.22	42.805
0	0	680.66	42.805
0	0	681.09	42.805
0	0	681.52	42.805
0	0	681.95	42.805
0	0	682.38	42.805
0	0	682.82	42.805
0	0	683.25	42.805
0	0	683.68	42.805
0	0	684.11	42.805
0	0	684.54	42.805
0	0	684.98	42.805
0	0	685.41	42.805
0	0	685.84	42.805
0	0	686.27	42.805
0	0	686.7	42.805
0	0	687.14	42.805
0	0	687.57	42.805
0	0	688	42.805
]
% 6th point
x_63 = [221	-1.897	221	-3.8234
223	-2.396	221.47	-3.8234
228	-3.507	221.93	-3.8234
233	-4.319	222.4	-3.8234
238	-4.957	222.87	-3.8234
243	-5.287	223.33	-3.8234
248	-5.313	223.8	-3.8234
253	-4.575	224.27	-3.8234
258	-2.771	224.74	-3.8234
263	1.409	225.2	-2.9233
268	7.689	225.67	-2.9233
273	14.498	226.14	-2.9233
278	21.978	226.6	-2.9233
288	37.297	227.07	-2.9233
298	43.33	227.54	-2.9233
308	44.19	228.01	-2.9233
318	44.005	228.47	-2.9233
328	43.857	228.94	-2.9233
338	43.702	229.41	-2.9233
358	43.404	229.87	-2.9233
378	43.183	230.34	-2.9233
408	42.868	230.81	-2.9233
438	42.532	231.27	-2.9233
468	42.283	231.74	-2.9233
508	41.989	232.21	-2.9233
548	41.718	232.68	-2.9233
588	41.642	233.14	-1.4334
638	41.569	233.61	-1.4334
688	41.385	234.08	-1.4334
0	0	234.54	-1.4334
0	0	235.01	-1.4334
0	0	235.48	-1.4334
0	0	235.94	-1.4334
0	0	236.41	-1.4334
0	0	236.88	-1.4334
0	0	237.34	-1.4334
0	0	237.81	-1.4334
0	0	238.28	-1.4334
0	0	238.75	-1.4334
0	0	239.21	-1.4334
0	0	239.68	-1.4334
0	0	240.15	-1.4334
0	0	240.61	-1.4334
0	0	241.08	5.4918
0	0	241.55	5.4918
0	0	242.02	5.4918
0	0	242.48	5.4918
0	0	242.95	5.4918
0	0	243.42	5.4918
0	0	243.88	5.4918
0	0	244.35	5.4918
0	0	244.82	5.4918
0	0	245.28	5.4918
0	0	245.75	5.4918
0	0	246.22	5.4918
0	0	246.68	5.4918
0	0	247.15	5.4918
0	0	247.62	5.4918
0	0	248.09	5.4918
0	0	248.55	18.613
0	0	249.02	18.613
0	0	249.49	18.613
0	0	249.95	18.613
0	0	250.42	18.613
0	0	250.89	18.613
0	0	251.35	18.613
0	0	251.82	18.613
0	0	252.29	18.613
0	0	252.76	18.613
0	0	253.22	18.613
0	0	253.69	18.613
0	0	254.16	18.613
0	0	254.62	18.613
0	0	255.09	18.613
0	0	255.56	18.613
0	0	256.02	18.613
0	0	256.49	30.288
0	0	256.96	30.288
0	0	257.43	30.288
0	0	257.89	30.288
0	0	258.36	30.288
0	0	258.83	30.288
0	0	259.29	30.288
0	0	259.76	30.288
0	0	260.23	30.288
0	0	260.7	30.288
0	0	261.16	30.288
0	0	261.63	30.288
0	0	262.1	30.288
0	0	262.56	30.288
0	0	263.03	30.288
0	0	263.5	30.288
0	0	263.96	30.288
0	0	264.43	30.288
0	0	264.9	30.288
0	0	265.37	30.288
0	0	265.83	30.288
0	0	266.3	30.288
0	0	266.77	30.288
0	0	267.23	30.288
0	0	267.7	30.288
0	0	268.17	30.288
0	0	268.63	30.288
0	0	269.1	30.288
0	0	269.57	30.288
0	0	270.03	30.288
0	0	270.5	30.288
0	0	270.97	30.288
0	0	271.44	30.288
0	0	271.9	39.215
0	0	272.37	39.215
0	0	272.84	39.215
0	0	273.3	39.215
0	0	273.77	39.215
0	0	274.24	39.215
0	0	274.7	39.215
0	0	275.17	39.215
0	0	275.64	39.215
0	0	276.11	39.215
0	0	276.57	39.215
0	0	277.04	39.215
0	0	277.51	39.215
0	0	277.97	39.215
0	0	278.44	39.215
0	0	278.91	39.215
0	0	279.37	39.215
0	0	279.84	39.215
0	0	280.31	39.215
0	0	280.78	39.215
0	0	281.24	39.215
0	0	281.71	39.215
0	0	282.18	39.215
0	0	282.64	39.215
0	0	283.11	39.215
0	0	283.58	39.215
0	0	284.05	39.215
0	0	284.51	39.215
0	0	284.98	39.215
0	0	285.45	39.215
0	0	285.91	39.215
0	0	286.38	39.215
0	0	286.85	39.215
0	0	287.31	39.215
0	0	287.78	40.399
0	0	288.25	40.399
0	0	288.72	40.399
0	0	289.18	40.399
0	0	289.65	40.399
0	0	290.12	40.399
0	0	290.58	40.399
0	0	291.05	40.399
0	0	291.52	40.399
0	0	291.98	40.399
0	0	292.45	40.399
0	0	292.92	40.399
0	0	293.38	40.399
0	0	293.85	40.399
0	0	294.32	40.399
0	0	294.79	40.399
0	0	295.25	40.399
0	0	295.72	40.399
0	0	296.19	40.399
0	0	296.65	40.399
0	0	297.12	40.399
0	0	297.59	40.399
0	0	298.05	40.399
0	0	298.52	40.399
0	0	298.99	40.399
0	0	299.46	40.399
0	0	299.92	40.399
0	0	300.39	40.399
0	0	300.86	40.399
0	0	301.32	40.399
0	0	301.79	40.399
0	0	302.26	40.399
0	0	302.72	40.399
0	0	303.19	41.695
0	0	303.66	41.695
0	0	304.13	41.695
0	0	304.59	41.695
0	0	305.06	41.695
0	0	305.53	41.695
0	0	305.99	41.695
0	0	306.46	41.695
0	0	306.93	41.695
0	0	307.4	41.695
0	0	307.86	41.695
0	0	308.33	41.695
0	0	308.8	41.695
0	0	309.26	41.695
0	0	309.73	41.695
0	0	310.2	41.695
0	0	310.66	41.695
0	0	311.13	41.695
0	0	311.6	41.695
0	0	312.07	41.695
0	0	312.53	41.695
0	0	313	41.695
0	0	313.47	41.695
0	0	313.93	41.695
0	0	314.4	41.695
0	0	314.87	41.695
0	0	315.33	41.695
0	0	315.8	41.695
0	0	316.27	41.695
0	0	316.73	41.695
0	0	317.2	41.695
0	0	317.67	41.695
0	0	318.14	41.695
0	0	318.6	41.695
0	0	319.07	43.328
0	0	319.54	43.328
0	0	320	43.328
0	0	320.47	43.328
0	0	320.94	43.328
0	0	321.4	43.328
0	0	321.87	43.328
0	0	322.34	43.328
0	0	322.81	43.328
0	0	323.27	43.328
0	0	323.74	43.328
0	0	324.21	43.328
0	0	324.67	43.328
0	0	325.14	43.328
0	0	325.61	43.328
0	0	326.07	43.328
0	0	326.54	43.328
0	0	327.01	43.328
0	0	327.48	43.328
0	0	327.94	43.328
0	0	328.41	43.328
0	0	328.88	43.328
0	0	329.34	43.328
0	0	329.81	43.328
0	0	330.28	43.328
0	0	330.75	43.328
0	0	331.21	43.328
0	0	331.68	43.328
0	0	332.15	43.328
0	0	332.61	43.328
0	0	333.08	43.328
0	0	333.55	43.328
0	0	334.01	43.328
0	0	334.48	42.912
0	0	334.95	42.912
0	0	335.42	42.912
0	0	335.88	42.912
0	0	336.35	42.912
0	0	336.82	42.912
0	0	337.28	42.912
0	0	337.75	42.912
0	0	338.22	42.912
0	0	338.68	42.912
0	0	339.15	42.912
0	0	339.62	42.912
0	0	340.08	42.912
0	0	340.55	42.912
0	0	341.02	42.912
0	0	341.49	42.912
0	0	341.95	42.912
0	0	342.42	42.912
0	0	342.89	42.912
0	0	343.35	42.912
0	0	343.82	42.912
0	0	344.29	42.912
0	0	344.75	42.912
0	0	345.22	42.912
0	0	345.69	42.912
0	0	346.16	42.912
0	0	346.62	42.912
0	0	347.09	42.912
0	0	347.56	42.912
0	0	348.02	42.912
0	0	348.49	42.912
0	0	348.96	42.912
0	0	349.42	42.912
0	0	349.89	42.912
0	0	350.36	43.873
0	0	350.83	43.873
0	0	351.29	43.873
0	0	351.76	43.873
0	0	352.23	43.873
0	0	352.69	43.873
0	0	353.16	43.873
0	0	353.63	43.873
0	0	354.1	43.873
0	0	354.56	43.873
0	0	355.03	43.873
0	0	355.5	43.873
0	0	355.96	43.873
0	0	356.43	43.873
0	0	356.9	43.873
0	0	357.36	43.873
0	0	357.83	43.873
0	0	358.3	43.873
0	0	358.77	43.873
0	0	359.23	43.873
0	0	359.7	43.873
0	0	360.17	43.873
0	0	360.63	43.873
0	0	361.1	43.873
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0	0	646.9	42.777
0	0	647.37	42.777
0	0	647.84	42.777
0	0	648.3	42.777
0	0	648.77	42.777
0	0	649.24	42.777
0	0	649.71	42.777
0	0	650.17	42.777
0	0	650.64	42.777
0	0	651.11	42.777
0	0	651.57	42.777
0	0	652.04	42.777
0	0	652.51	42.777
0	0	652.98	42.777
0	0	653.44	42.777
0	0	653.91	42.777
0	0	654.38	42.777
0	0	654.84	42.777
0	0	655.31	42.777
0	0	655.78	42.777
0	0	656.24	42.777
0	0	656.71	42.777
0	0	657.18	42.777
0	0	657.64	42.777
0	0	658.11	42.777
0	0	658.58	42.777
0	0	659.05	42.777
0	0	659.51	42.777
0	0	659.98	42.777
0	0	660.45	42.777
0	0	660.91	42.777
0	0	661.38	42.777
0	0	661.85	42.777
0	0	662.32	42.777
0	0	662.78	42.703
0	0	663.25	42.703
0	0	663.72	42.703
0	0	664.18	42.703
0	0	664.65	42.703
0	0	665.12	42.703
0	0	665.58	42.703
0	0	666.05	42.703
0	0	666.52	42.703
0	0	666.98	42.703
0	0	667.45	42.703
0	0	667.92	42.703
0	0	668.39	42.703
0	0	668.85	42.703
0	0	669.32	42.703
0	0	669.79	42.703
0	0	670.25	42.703
0	0	670.72	42.703
0	0	671.19	42.703
0	0	671.65	42.703
0	0	672.12	42.703
0	0	672.59	42.703
0	0	673.06	42.703
0	0	673.52	42.703
0	0	673.99	42.703
0	0	674.46	42.703
0	0	674.92	42.703
0	0	675.39	42.703
0	0	675.86	42.703
0	0	676.33	42.703
0	0	676.79	42.703
0	0	677.26	42.703
0	0	677.73	42.703
0	0	678.19	42.536
0	0	678.66	42.536
0	0	679.13	42.536
0	0	679.59	42.536
0	0	680.06	42.536
0	0	680.53	42.536
0	0	680.99	42.536
0	0	681.46	42.536
0	0	681.93	42.536
0	0	682.4	42.536
0	0	682.86	42.536
0	0	683.33	42.536
0	0	683.8	42.536
0	0	684.26	42.536
0	0	684.73	42.536
0	0	685.2	42.536
0	0	685.67	42.536
0	0	686.13	42.536
0	0	686.6	42.536
0	0	687.07	42.536
0	0	687.53	42.536
0	0	688	42.536
]
% 7th point
x_187 = [-22	37.022	-22	23.177
-12	29.874	-21.29	23.177
-2	20.221	-20.58	23.177
8	8.782	-19.87	23.177
18	-2.225	-19.16	23.177
28	-9.452	-18.45	23.177
38	-13.398	-17.74	23.177
48	-15.168	-17.03	23.177
58	-15.816	-16.32	23.177
68	-15.745	-15.61	23.177
78	-15.253	-14.9	23.177
88	-14.631	-14.19	23.177
98	-13.824	-13.48	23.177
108	-13.062	-12.77	23.177
118	-12.096	-12.06	23.177
128	-10.998	-11.35	23.177
138	-9.582	-10.64	23.177
148	-8.212	-9.93	23.177
158	-6.119	-9.22	7.3885
168	-3.764	-8.51	7.3885
178	-0.967	-7.8	7.3885
188	2.5	-7.09	7.3885
198	6.386	-6.38	7.3885
208	10.315	-5.67	7.3885
218	14.456	-4.96	7.3885
228	19.212	-4.25	7.3885
238	24.513	-3.54	7.3885
248	30.788	-2.83	7.3885
258	36.566	-2.12	7.3885
268	40.494	-1.41	7.3885
278	41.856	-0.7	7.3885
288	41.939	1.00E-02	7.3885
298	41.839	0.72	7.3885
318	41.69	1.43	7.3885
338	41.581	2.14	7.3885
358	41.515	2.85	7.3885
378	41.452	3.56	7.3885
408	41.314	4.27	7.3885
438	41.25	4.98	7.3885
468	41.161	5.69	7.3885
508	41.02	6.4	-2.1513
548	40.904	7.11	-2.1513
588	40.983	7.82	-2.1513
638	41.025	8.53	-2.1513
688	40.95	9.24	-2.1513
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0	0	10.66	-2.1513
0	0	11.37	-2.1513
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0	0	12.79	-2.1513
0	0	13.5	-2.1513
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0	0	14.92	-2.1513
0	0	15.63	-2.1513
0	0	16.34	-2.1513
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0	0	18.47	-2.1513
0	0	19.18	-2.1513
0	0	19.89	-2.1513
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0	0	21.31	-2.1513
0	0	22.02	-7.4886
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0	0	24.15	-7.4886
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0	0	25.57	-7.4886
0	0	26.28	-7.4886
0	0	26.99	-7.4886
0	0	27.7	-7.4886
0	0	28.41	-7.4886
0	0	29.12	-7.4886
0	0	29.83	-7.4886
0	0	30.54	-7.4886
0	0	31.25	-7.4886
0	0	31.96	-7.4886
0	0	32.67	-7.4886
0	0	33.38	-7.4886
0	0	34.09	-7.4886
0	0	34.8	-7.4886
0	0	35.51	-7.4886
0	0	36.22	-7.4886
0	0	36.93	-7.4886
0	0	37.64	-9.156
0	0	38.35	-9.156
0	0	39.06	-9.156
0	0	39.77	-9.156
0	0	40.48	-9.156
0	0	41.19	-9.156
0	0	41.9	-9.156
0	0	42.61	-9.156
0	0	43.32	-9.156
0	0	44.03	-9.156
0	0	44.74	-9.156
0	0	45.45	-9.156
0	0	46.16	-9.156
0	0	46.87	-9.156
0	0	47.58	-9.156
0	0	48.29	-9.156
0	0	49	-9.156
0	0	49.71	-9.156
0	0	50.42	-9.156
0	0	51.13	-9.156
0	0	51.84	-9.156
0	0	52.55	-9.156
0	0	53.26	-8.7492
0	0	53.97	-8.7492
0	0	54.68	-8.7492
0	0	55.39	-8.7492
0	0	56.1	-8.7492
0	0	56.81	-8.7492
0	0	57.52	-8.7492
0	0	58.23	-8.7492
0	0	58.94	-8.7492
0	0	59.65	-8.7492
0	0	60.36	-8.7492
0	0	61.07	-8.7492
0	0	61.78	-8.7492
0	0	62.49	-8.7492
0	0	63.2	-8.7492
0	0	63.91	-8.7492
0	0	64.62	-8.7492
0	0	65.33	-8.7492
0	0	66.04	-8.7492
0	0	66.75	-8.7492
0	0	67.46	-8.7492
0	0	68.17	-8.7492
0	0	68.88	-7.1319
0	0	69.59	-7.1319
0	0	70.3	-7.1319
0	0	71.01	-7.1319
0	0	71.72	-7.1319
0	0	72.43	-7.1319
0	0	73.14	-7.1319
0	0	73.85	-7.1319
0	0	74.56	-7.1319
0	0	75.27	-7.1319
0	0	75.98	-7.1319
0	0	76.69	-7.1319
0	0	77.4	-7.1319
0	0	78.11	-7.1319
0	0	78.82	-7.1319
0	0	79.53	-7.1319
0	0	80.24	-7.1319
0	0	80.95	-7.1319
0	0	81.66	-7.1319
0	0	82.37	-7.1319
0	0	83.08	-7.1319
0	0	83.79	-7.1319
0	0	84.5	-4.5107
0	0	85.21	-4.5107
0	0	85.92	-4.5107
0	0	86.63	-4.5107
0	0	87.34	-4.5107
0	0	88.05	-4.5107
0	0	88.76	-4.5107
0	0	89.47	-4.5107
0	0	90.18	-4.5107
0	0	90.89	-4.5107
0	0	91.6	-4.5107
0	0	92.31	-4.5107
0	0	93.02	-4.5107
0	0	93.73	-4.5107
0	0	94.44	-4.5107
0	0	95.15	-4.5107
0	0	95.86	-4.5107
0	0	96.57	-4.5107
0	0	97.28	-4.5107
0	0	97.99	-4.5107
0	0	98.7	-4.5107
0	0	99.41	-4.5107
0	0	100.12	-0.85935
0	0	100.83	-0.85935
0	0	101.54	-0.85935
0	0	102.25	-0.85935
0	0	102.96	-0.85935
0	0	103.67	-0.85935
0	0	104.38	-0.85935
0	0	105.09	-0.85935
0	0	105.8	-0.85935
0	0	106.51	-0.85935
0	0	107.22	-0.85935
0	0	107.93	-0.85935
0	0	108.64	-0.85935
0	0	109.35	-0.85935
0	0	110.06	-0.85935
0	0	110.77	-0.85935
0	0	111.48	-0.85935
0	0	112.19	-0.85935
0	0	112.9	-0.85935
0	0	113.61	-0.85935
0	0	114.32	-0.85935
0	0	115.03	-0.85935
0	0	115.74	3.9074
0	0	116.45	3.9074
0	0	117.16	3.9074
0	0	117.87	3.9074
0	0	118.58	3.9074
0	0	119.29	3.9074
0	0	120	3.9074
0	0	120.71	3.9074
0	0	121.42	3.9074
0	0	122.13	3.9074
0	0	122.84	3.9074
0	0	123.55	3.9074
0	0	124.26	3.9074
0	0	124.97	3.9074
0	0	125.68	3.9074
0	0	126.39	3.9074
0	0	127.1	3.9074
0	0	127.81	3.9074
0	0	128.52	3.9074
0	0	129.23	3.9074
0	0	129.94	3.9074
0	0	130.65	3.9074
0	0	131.36	9.5288
0	0	132.07	9.5288
0	0	132.78	9.5288
0	0	133.49	9.5288
0	0	134.2	9.5288
0	0	134.91	9.5288
0	0	135.62	9.5288
0	0	136.33	9.5288
0	0	137.04	9.5288
0	0	137.75	9.5288
0	0	138.46	9.5288
0	0	139.17	9.5288
0	0	139.88	9.5288
0	0	140.59	9.5288
0	0	141.3	9.5288
0	0	142.01	9.5288
0	0	142.72	9.5288
0	0	143.43	9.5288
0	0	144.14	9.5288
0	0	144.85	9.5288
0	0	145.56	9.5288
0	0	146.27	9.5288
0	0	146.98	15.69
0	0	147.69	15.69
0	0	148.4	15.69
0	0	149.11	15.69
0	0	149.82	15.69
0	0	150.53	15.69
0	0	151.24	15.69
0	0	151.95	15.69
0	0	152.66	15.69
0	0	153.37	15.69
0	0	154.08	15.69
0	0	154.79	15.69
0	0	155.5	15.69
0	0	156.21	15.69
0	0	156.92	15.69
0	0	157.63	15.69
0	0	158.34	15.69
0	0	159.05	15.69
0	0	159.76	15.69
0	0	160.47	15.69
0	0	161.18	15.69
0	0	161.89	15.69
0	0	162.6	22.243
0	0	163.31	22.243
0	0	164.02	22.243
0	0	164.73	22.243
0	0	165.44	22.243
0	0	166.15	22.243
0	0	166.86	22.243
0	0	167.57	22.243
0	0	168.28	22.243
0	0	168.99	22.243
0	0	169.7	22.243
0	0	170.41	22.243
0	0	171.12	22.243
0	0	171.83	22.243
0	0	172.54	22.243
0	0	173.25	22.243
0	0	173.96	22.243
0	0	174.67	22.243
0	0	175.38	22.243
0	0	176.09	22.243
0	0	176.8	22.243
0	0	177.51	22.243
0	0	178.22	27.038
0	0	178.93	27.038
0	0	179.64	27.038
0	0	180.35	27.038
0	0	181.06	27.038
0	0	181.77	27.038
0	0	182.48	27.038
0	0	183.19	27.038
0	0	183.9	27.038
0	0	184.61	27.038
0	0	185.32	27.038
0	0	186.03	27.038
0	0	186.74	27.038
0	0	187.45	27.038
0	0	188.16	27.038
0	0	188.87	27.038
0	0	189.58	27.038
0	0	190.29	27.038
0	0	191	27.038
0	0	191.71	27.038
0	0	192.42	27.038
0	0	193.13	27.038
0	0	193.84	30.786
0	0	194.55	30.786
0	0	195.26	30.786
0	0	195.97	30.786
0	0	196.68	30.786
0	0	197.39	30.786
0	0	198.1	30.786
0	0	198.81	30.786
0	0	199.52	30.786
0	0	200.23	30.786
0	0	200.94	30.786
0	0	201.65	30.786
0	0	202.36	30.786
0	0	203.07	30.786
0	0	203.78	30.786
0	0	204.49	30.786
0	0	205.2	30.786
0	0	205.91	30.786
0	0	206.62	30.786
0	0	207.33	30.786
0	0	208.04	30.786
0	0	208.75	30.786
0	0	209.46	34.217
0	0	210.17	34.217
0	0	210.88	34.217
0	0	211.59	34.217
0	0	212.3	34.217
0	0	213.01	34.217
0	0	213.72	34.217
0	0	214.43	34.217
0	0	215.14	34.217
0	0	215.85	34.217
0	0	216.56	34.217
0	0	217.27	34.217
0	0	217.98	34.217
0	0	218.69	34.217
0	0	219.4	34.217
0	0	220.11	34.217
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0	0	221.53	34.217
0	0	222.24	34.217
0	0	222.95	34.217
0	0	223.66	34.217
0	0	224.37	34.217
0	0	225.08	36.293
0	0	225.79	36.293
0	0	226.5	36.293
0	0	227.21	36.293
0	0	227.92	36.293
0	0	228.63	36.293
0	0	229.34	36.293
0	0	230.05	36.293
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0	0	231.47	36.293
0	0	232.18	36.293
0	0	232.89	36.293
0	0	233.6	36.293
0	0	234.31	36.293
0	0	235.02	36.293
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0	0	236.44	36.293
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0	0	237.86	36.293
0	0	238.57	36.293
0	0	239.28	36.293
0	0	239.99	36.293
0	0	240.7	38.16
0	0	241.41	38.16
0	0	242.12	38.16
0	0	242.83	38.16
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0	0	244.25	38.16
0	0	244.96	38.16
0	0	245.67	38.16
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0	0	248.51	38.16
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0	0	254.9	38.16
0	0	255.61	38.16
0	0	256.32	39.461
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0	0	257.74	39.461
0	0	258.45	39.461
0	0	259.16	39.461
0	0	259.87	39.461
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0	0	261.29	39.461
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0	0	264.13	39.461
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0	0	268.39	39.461
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0	0	270.52	39.461
0	0	271.23	39.461
0	0	271.94	39.735
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0	0	286.14	39.735
0	0	286.85	39.735
0	0	287.56	39.91
0	0	288.27	39.91
0	0	288.98	39.91
0	0	289.69	39.91
0	0	290.4	39.91
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0	0	293.24	39.91
0	0	293.95	39.91
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0	0	299.63	39.91
0	0	300.34	39.91
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0	0	302.47	39.91
0	0	303.18	40.101
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0	0	327.32	40.206
0	0	328.03	40.206
0	0	328.74	40.206
0	0	329.45	40.206
0	0	330.16	40.206
0	0	330.87	40.206
0	0	331.58	40.206
0	0	332.29	40.206
0	0	333	40.206
0	0	333.71	40.206
0	0	334.42	40.623
0	0	335.13	40.623
0	0	335.84	40.623
0	0	336.55	40.623
0	0	337.26	40.623
0	0	337.97	40.623
0	0	338.68	40.623
0	0	339.39	40.623
0	0	340.1	40.623
0	0	340.81	40.623
0	0	341.52	40.623
0	0	342.23	40.623
0	0	342.94	40.623
0	0	343.65	40.623
0	0	344.36	40.623
0	0	345.07	40.623
0	0	345.78	40.623
0	0	346.49	40.623
0	0	347.2	40.623
0	0	347.91	40.623
0	0	348.62	40.623
0	0	349.33	40.623
0	0	350.04	41.039
0	0	350.75	41.039
0	0	351.46	41.039
0	0	352.17	41.039
0	0	352.88	41.039
0	0	353.59	41.039
0	0	354.3	41.039
0	0	355.01	41.039
0	0	355.72	41.039
0	0	356.43	41.039
0	0	357.14	41.039
0	0	357.85	41.039
0	0	358.56	41.039
0	0	359.27	41.039
0	0	359.98	41.039
0	0	360.69	41.039
0	0	361.4	41.039
0	0	362.11	41.039
0	0	362.82	41.039
0	0	363.53	41.039
0	0	364.24	41.039
0	0	364.95	41.039
0	0	365.66	40.516
0	0	366.37	40.516
0	0	367.08	40.516
0	0	367.79	40.516
0	0	368.5	40.516
0	0	369.21	40.516
0	0	369.92	40.516
0	0	370.63	40.516
0	0	371.34	40.516
0	0	372.05	40.516
0	0	372.76	40.516
0	0	373.47	40.516
0	0	374.18	40.516
0	0	374.89	40.516
0	0	375.6	40.516
0	0	376.31	40.516
0	0	377.02	40.516
0	0	377.73	40.516
0	0	378.44	40.516
0	0	379.15	40.516
0	0	379.86	40.516
0	0	380.57	40.516
0	0	381.28	40.735
0	0	381.99	40.735
0	0	382.7	40.735
0	0	383.41	40.735
0	0	384.12	40.735
0	0	384.83	40.735
0	0	385.54	40.735
0	0	386.25	40.735
0	0	386.96	40.735
0	0	387.67	40.735
0	0	388.38	40.735
0	0	389.09	40.735
0	0	389.8	40.735
0	0	390.51	40.735
0	0	391.22	40.735
0	0	391.93	40.735
0	0	392.64	40.735
0	0	393.35	40.735
0	0	394.06	40.735
0	0	394.77	40.735
0	0	395.48	40.735
0	0	396.19	40.735
0	0	396.9	40.744
0	0	397.61	40.744
0	0	398.32	40.744
0	0	399.03	40.744
0	0	399.74	40.744
0	0	400.45	40.744
0	0	401.16	40.744
0	0	401.87	40.744
0	0	402.58	40.744
0	0	403.29	40.744
0	0	404	40.744
0	0	404.71	40.744
0	0	405.42	40.744
0	0	406.13	40.744
0	0	406.84	40.744
0	0	407.55	40.744
0	0	408.26	40.744
0	0	408.97	40.744
0	0	409.68	40.744
0	0	410.39	40.744
0	0	411.1	40.744
0	0	411.81	40.744
0	0	412.52	40.595
0	0	413.23	40.595
0	0	413.94	40.595
0	0	414.65	40.595
0	0	415.36	40.595
0	0	416.07	40.595
0	0	416.78	40.595
0	0	417.49	40.595
0	0	418.2	40.595
0	0	418.91	40.595
0	0	419.62	40.595
0	0	420.33	40.595
0	0	421.04	40.595
0	0	421.75	40.595
0	0	422.46	40.595
0	0	423.17	40.595
0	0	423.88	40.595
0	0	424.59	40.595
0	0	425.3	40.595
0	0	426.01	40.595
0	0	426.72	40.595
0	0	427.43	40.595
0	0	428.14	40.732
0	0	428.85	40.732
0	0	429.56	40.732
0	0	430.27	40.732
0	0	430.98	40.732
0	0	431.69	40.732
0	0	432.4	40.732
0	0	433.11	40.732
0	0	433.82	40.732
0	0	434.53	40.732
0	0	435.24	40.732
0	0	435.95	40.732
0	0	436.66	40.732
0	0	437.37	40.732
0	0	438.08	40.732
0	0	438.79	40.732
0	0	439.5	40.732
0	0	440.21	40.732
0	0	440.92	40.732
0	0	441.63	40.732
0	0	442.34	40.732
0	0	443.05	40.732
0	0	443.76	40.924
0	0	444.47	40.924
0	0	445.18	40.924
0	0	445.89	40.924
0	0	446.6	40.924
0	0	447.31	40.924
0	0	448.02	40.924
0	0	448.73	40.924
0	0	449.44	40.924
0	0	450.15	40.924
0	0	450.86	40.924
0	0	451.57	40.924
0	0	452.28	40.924
0	0	452.99	40.924
0	0	453.7	40.924
0	0	454.41	40.924
0	0	455.12	40.924
0	0	455.83	40.924
0	0	456.54	40.924
0	0	457.25	40.924
0	0	457.96	40.924
0	0	458.67	40.924
0	0	459.38	41.189
0	0	460.09	41.189
0	0	460.8	41.189
0	0	461.51	41.189
0	0	462.22	41.189
0	0	462.93	41.189
0	0	463.64	41.189
0	0	464.35	41.189
0	0	465.06	41.189
0	0	465.77	41.189
0	0	466.48	41.189
0	0	467.19	41.189
0	0	467.9	41.189
0	0	468.61	41.189
0	0	469.32	41.189
0	0	470.03	41.189
0	0	470.74	41.189
0	0	471.45	41.189
0	0	472.16	41.189
0	0	472.87	41.189
0	0	473.58	41.189
0	0	474.29	41.189
0	0	475	41.189
0	0	475.71	41.471
0	0	476.42	41.471
0	0	477.13	41.471
0	0	477.84	41.471
0	0	478.55	41.471
0	0	479.26	41.471
0	0	479.97	41.471
0	0	480.68	41.471
0	0	481.39	41.471
0	0	482.1	41.471
0	0	482.81	41.471
0	0	483.52	41.471
0	0	484.23	41.471
0	0	484.94	41.471
0	0	485.65	41.471
0	0	486.36	41.471
0	0	487.07	41.471
0	0	487.78	41.471
0	0	488.49	41.471
0	0	489.2	41.471
0	0	489.91	41.471
0	0	490.62	41.471
0	0	491.33	41.737
0	0	492.04	41.737
0	0	492.75	41.737
0	0	493.46	41.737
0	0	494.17	41.737
0	0	494.88	41.737
0	0	495.59	41.737
0	0	496.3	41.737
0	0	497.01	41.737
0	0	497.72	41.737
0	0	498.43	41.737
0	0	499.14	41.737
0	0	499.85	41.737
0	0	500.56	41.737
0	0	501.27	41.737
0	0	501.98	41.737
0	0	502.69	41.737
0	0	503.4	41.737
0	0	504.11	41.737
0	0	504.82	41.737
0	0	505.53	41.737
0	0	506.24	41.737
0	0	506.95	41.836
0	0	507.66	41.836
0	0	508.37	41.836
0	0	509.08	41.836
0	0	509.79	41.836
0	0	510.5	41.836
0	0	511.21	41.836
0	0	511.92	41.836
0	0	512.63	41.836
0	0	513.34	41.836
0	0	514.05	41.836
0	0	514.76	41.836
0	0	515.47	41.836
0	0	516.18	41.836
0	0	516.89	41.836
0	0	517.6	41.836
0	0	518.31	41.836
0	0	519.02	41.836
0	0	519.73	41.836
0	0	520.44	41.836
0	0	521.15	41.836
0	0	521.86	41.836
0	0	522.57	41.849
0	0	523.28	41.849
0	0	523.99	41.849
0	0	524.7	41.849
0	0	525.41	41.849
0	0	526.12	41.849
0	0	526.83	41.849
0	0	527.54	41.849
0	0	528.25	41.849
0	0	528.96	41.849
0	0	529.67	41.849
0	0	530.38	41.849
0	0	531.09	41.849
0	0	531.8	41.849
0	0	532.51	41.849
0	0	533.22	41.849
0	0	533.93	41.849
0	0	534.64	41.849
0	0	535.35	41.849
0	0	536.06	41.849
0	0	536.77	41.849
0	0	537.48	41.849
0	0	538.19	41.755
0	0	538.9	41.755
0	0	539.61	41.755
0	0	540.32	41.755
0	0	541.03	41.755
0	0	541.74	41.755
0	0	542.45	41.755
0	0	543.16	41.755
0	0	543.87	41.755
0	0	544.58	41.755
0	0	545.29	41.755
0	0	546	41.755
0	0	546.71	41.755
0	0	547.42	41.755
0	0	548.13	41.755
0	0	548.84	41.755
0	0	549.55	41.755
0	0	550.26	41.755
0	0	550.97	41.755
0	0	551.68	41.755
0	0	552.39	41.755
0	0	553.1	41.755
0	0	553.81	41.563
0	0	554.52	41.563
0	0	555.23	41.563
0	0	555.94	41.563
0	0	556.65	41.563
0	0	557.36	41.563
0	0	558.07	41.563
0	0	558.78	41.563
0	0	559.49	41.563
0	0	560.2	41.563
0	0	560.91	41.563
0	0	561.62	41.563
0	0	562.33	41.563
0	0	563.04	41.563
0	0	563.75	41.563
0	0	564.46	41.563
0	0	565.17	41.563
0	0	565.88	41.563
0	0	566.59	41.563
0	0	567.3	41.563
0	0	568.01	41.563
0	0	568.72	41.563
0	0	569.43	41.5
0	0	570.14	41.5
0	0	570.85	41.5
0	0	571.56	41.5
0	0	572.27	41.5
0	0	572.98	41.5
0	0	573.69	41.5
0	0	574.4	41.5
0	0	575.11	41.5
0	0	575.82	41.5
0	0	576.53	41.5
0	0	577.24	41.5
0	0	577.95	41.5
0	0	578.66	41.5
0	0	579.37	41.5
0	0	580.08	41.5
0	0	580.79	41.5
0	0	581.5	41.5
0	0	582.21	41.5
0	0	582.92	41.5
0	0	583.63	41.5
0	0	584.34	41.5
0	0	585.05	41.585
0	0	585.76	41.585
0	0	586.47	41.585
0	0	587.18	41.585
0	0	587.89	41.585
0	0	588.6	41.585
0	0	589.31	41.585
0	0	590.02	41.585
0	0	590.73	41.585
0	0	591.44	41.585
0	0	592.15	41.585
0	0	592.86	41.585
0	0	593.57	41.585
0	0	594.28	41.585
0	0	594.99	41.585
0	0	595.7	41.585
0	0	596.41	41.585
0	0	597.12	41.585
0	0	597.83	41.585
0	0	598.54	41.585
0	0	599.25	41.585
0	0	599.96	41.585
0	0	600.67	41.678
0	0	601.38	41.678
0	0	602.09	41.678
0	0	602.8	41.678
0	0	603.51	41.678
0	0	604.22	41.678
0	0	604.93	41.678
0	0	605.64	41.678
0	0	606.35	41.678
0	0	607.06	41.678
0	0	607.77	41.678
0	0	608.48	41.678
0	0	609.19	41.678
0	0	609.9	41.678
0	0	610.61	41.678
0	0	611.32	41.678
0	0	612.03	41.678
0	0	612.74	41.678
0	0	613.45	41.678
0	0	614.16	41.678
0	0	614.87	41.678
0	0	615.58	41.678
0	0	616.29	41.738
0	0	617	41.738
0	0	617.71	41.738
0	0	618.42	41.738
0	0	619.13	41.738
0	0	619.84	41.738
0	0	620.55	41.738
0	0	621.26	41.738
0	0	621.97	41.738
0	0	622.68	41.738
0	0	623.39	41.738
0	0	624.1	41.738
0	0	624.81	41.738
0	0	625.52	41.738
0	0	626.23	41.738
0	0	626.94	41.738
0	0	627.65	41.738
0	0	628.36	41.738
0	0	629.07	41.738
0	0	629.78	41.738
0	0	630.49	41.738
0	0	631.2	41.738
0	0	631.91	41.649
0	0	632.62	41.649
0	0	633.33	41.649
0	0	634.04	41.649
0	0	634.75	41.649
0	0	635.46	41.649
0	0	636.17	41.649
0	0	636.88	41.649
0	0	637.59	41.649
0	0	638.3	41.649
0	0	639.01	41.649
0	0	639.72	41.649
0	0	640.43	41.649
0	0	641.14	41.649
0	0	641.85	41.649
0	0	642.56	41.649
0	0	643.27	41.649
0	0	643.98	41.649
0	0	644.69	41.649
0	0	645.4	41.649
0	0	646.11	41.649
0	0	646.82	41.649
0	0	647.53	41.54
0	0	648.24	41.54
0	0	648.95	41.54
0	0	649.66	41.54
0	0	650.37	41.54
0	0	651.08	41.54
0	0	651.79	41.54
0	0	652.5	41.54
0	0	653.21	41.54
0	0	653.92	41.54
0	0	654.63	41.54
0	0	655.34	41.54
0	0	656.05	41.54
0	0	656.76	41.54
0	0	657.47	41.54
0	0	658.18	41.54
0	0	658.89	41.54
0	0	659.6	41.54
0	0	660.31	41.54
0	0	661.02	41.54
0	0	661.73	41.54
0	0	662.44	41.54
0	0	663.15	41.513
0	0	663.86	41.513
0	0	664.57	41.513
0	0	665.28	41.513
0	0	665.99	41.513
0	0	666.7	41.513
0	0	667.41	41.513
0	0	668.12	41.513
0	0	668.83	41.513
0	0	669.54	41.513
0	0	670.25	41.513
0	0	670.96	41.513
0	0	671.67	41.513
0	0	672.38	41.513
0	0	673.09	41.513
0	0	673.8	41.513
0	0	674.51	41.513
0	0	675.22	41.513
0	0	675.93	41.513
0	0	676.64	41.513
0	0	677.35	41.513
0	0	678.06	41.513
0	0	678.77	41.421
0	0	679.48	41.421
0	0	680.19	41.421
0	0	680.9	41.421
0	0	681.61	41.421
0	0	682.32	41.421
0	0	683.03	41.421
0	0	683.74	41.421
0	0	684.45	41.421
0	0	685.16	41.421
0	0	685.87	41.421
0	0	686.58	41.421
0	0	687.29	41.421
0	0	688	41.421
]
%8th point 
x_137 = [-22	40.729	-22	27.015
-12	31.654	-21.29	27.015
-2	19.528	-20.58	27.015
8	5.479	-19.87	27.015
18	-6.716	-19.16	27.015
28	-12.752	-18.45	27.015
38	-15.282	-17.74	27.015
48	-15.908	-17.03	27.015
58	-15.987	-16.32	27.015
68	-15.615	-15.61	27.015
78	-14.982	-14.9	27.015
88	-14.278	-14.19	27.015
98	-13.465	-13.48	27.015
108	-12.412	-12.77	27.015
118	-11.354	-12.06	27.015
128	-10.091	-11.35	27.015
138	-8.768	-10.64	27.015
148	-7.153	-9.93	27.015
158	-5.46	-9.22	8.8142
168	-3.516	-8.51	8.8142
178	-1.719	-7.8	8.8142
188	0.568	-7.09	8.8142
198	2.992	-6.38	8.8142
208	5.705	-5.67	8.8142
218	8.844	-4.96	8.8142
228	12.726	-4.25	8.8142
238	17.645	-3.54	8.8142
248	23.777	-2.83	8.8142
258	30.855	-2.12	8.8142
268	37.679	-1.41	8.8142
278	42.05	-0.7	8.8142
288	43.006	1.00E-02	8.8142
298	42.886	0.72	8.8142
318	42.571	1.43	8.8142
338	42.314	2.14	8.8142
358	42.145	2.85	8.8142
378	42.012	3.56	8.8142
408	41.796	4.27	8.8142
438	41.64	4.98	8.8142
468	41.48	5.69	8.8142
508	41.286	6.4	-3.0776
548	41.128	7.11	-3.0776
588	41.16	7.82	-3.0776
638	41.168	8.53	-3.0776
688	41.066	9.24	-3.0776
0	0	9.95	-3.0776
0	0	10.66	-3.0776
0	0	11.37	-3.0776
0	0	12.08	-3.0776
0	0	12.79	-3.0776
0	0	13.5	-3.0776
0	0	14.21	-3.0776
0	0	14.92	-3.0776
0	0	15.63	-3.0776
0	0	16.34	-3.0776
0	0	17.05	-3.0776
0	0	17.76	-3.0776
0	0	18.47	-3.0776
0	0	19.18	-3.0776
0	0	19.89	-3.0776
0	0	20.6	-3.0776
0	0	21.31	-3.0776
0	0	22.02	-9.3188
0	0	22.73	-9.3188
0	0	23.44	-9.3188
0	0	24.15	-9.3188
0	0	24.86	-9.3188
0	0	25.57	-9.3188
0	0	26.28	-9.3188
0	0	26.99	-9.3188
0	0	27.7	-9.3188
0	0	28.41	-9.3188
0	0	29.12	-9.3188
0	0	29.83	-9.3188
0	0	30.54	-9.3188
0	0	31.25	-9.3188
0	0	31.96	-9.3188
0	0	32.67	-9.3188
0	0	33.38	-9.3188
0	0	34.09	-9.3188
0	0	34.8	-9.3188
0	0	35.51	-9.3188
0	0	36.22	-9.3188
0	0	36.93	-9.3188
0	0	37.64	-11.89
0	0	38.35	-11.89
0	0	39.06	-11.89
0	0	39.77	-11.89
0	0	40.48	-11.89
0	0	41.19	-11.89
0	0	41.9	-11.89
0	0	42.61	-11.89
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0	0	477.13	41.665
0	0	477.84	41.665
0	0	478.55	41.665
0	0	479.26	41.665
0	0	479.97	41.665
0	0	480.68	41.665
0	0	481.39	41.665
0	0	482.1	41.665
0	0	482.81	41.665
0	0	483.52	41.665
0	0	484.23	41.665
0	0	484.94	41.665
0	0	485.65	41.665
0	0	486.36	41.665
0	0	487.07	41.665
0	0	487.78	41.665
0	0	488.49	41.665
0	0	489.2	41.665
0	0	489.91	41.665
0	0	490.62	41.665
0	0	491.33	41.901
0	0	492.04	41.901
0	0	492.75	41.901
0	0	493.46	41.901
0	0	494.17	41.901
0	0	494.88	41.901
0	0	495.59	41.901
0	0	496.3	41.901
0	0	497.01	41.901
0	0	497.72	41.901
0	0	498.43	41.901
0	0	499.14	41.901
0	0	499.85	41.901
0	0	500.56	41.901
0	0	501.27	41.901
0	0	501.98	41.901
0	0	502.69	41.901
0	0	503.4	41.901
0	0	504.11	41.901
0	0	504.82	41.901
0	0	505.53	41.901
0	0	506.24	41.901
0	0	506.95	42.005
0	0	507.66	42.005
0	0	508.37	42.005
0	0	509.08	42.005
0	0	509.79	42.005
0	0	510.5	42.005
0	0	511.21	42.005
0	0	511.92	42.005
0	0	512.63	42.005
0	0	513.34	42.005
0	0	514.05	42.005
0	0	514.76	42.005
0	0	515.47	42.005
0	0	516.18	42.005
0	0	516.89	42.005
0	0	517.6	42.005
0	0	518.31	42.005
0	0	519.02	42.005
0	0	519.73	42.005
0	0	520.44	42.005
0	0	521.15	42.005
0	0	521.86	42.005
0	0	522.57	41.996
0	0	523.28	41.996
0	0	523.99	41.996
0	0	524.7	41.996
0	0	525.41	41.996
0	0	526.12	41.996
0	0	526.83	41.996
0	0	527.54	41.996
0	0	528.25	41.996
0	0	528.96	41.996
0	0	529.67	41.996
0	0	530.38	41.996
0	0	531.09	41.996
0	0	531.8	41.996
0	0	532.51	41.996
0	0	533.22	41.996
0	0	533.93	41.996
0	0	534.64	41.996
0	0	535.35	41.996
0	0	536.06	41.996
0	0	536.77	41.996
0	0	537.48	41.996
0	0	538.19	41.939
0	0	538.9	41.939
0	0	539.61	41.939
0	0	540.32	41.939
0	0	541.03	41.939
0	0	541.74	41.939
0	0	542.45	41.939
0	0	543.16	41.939
0	0	543.87	41.939
0	0	544.58	41.939
0	0	545.29	41.939
0	0	546	41.939
0	0	546.71	41.939
0	0	547.42	41.939
0	0	548.13	41.939
0	0	548.84	41.939
0	0	549.55	41.939
0	0	550.26	41.939
0	0	550.97	41.939
0	0	551.68	41.939
0	0	552.39	41.939
0	0	553.1	41.939
0	0	553.81	41.806
0	0	554.52	41.806
0	0	555.23	41.806
0	0	555.94	41.806
0	0	556.65	41.806
0	0	557.36	41.806
0	0	558.07	41.806
0	0	558.78	41.806
0	0	559.49	41.806
0	0	560.2	41.806
0	0	560.91	41.806
0	0	561.62	41.806
0	0	562.33	41.806
0	0	563.04	41.806
0	0	563.75	41.806
0	0	564.46	41.806
0	0	565.17	41.806
0	0	565.88	41.806
0	0	566.59	41.806
0	0	567.3	41.806
0	0	568.01	41.806
0	0	568.72	41.806
0	0	569.43	41.857
0	0	570.14	41.857
0	0	570.85	41.857
0	0	571.56	41.857
0	0	572.27	41.857
0	0	572.98	41.857
0	0	573.69	41.857
0	0	574.4	41.857
0	0	575.11	41.857
0	0	575.82	41.857
0	0	576.53	41.857
0	0	577.24	41.857
0	0	577.95	41.857
0	0	578.66	41.857
0	0	579.37	41.857
0	0	580.08	41.857
0	0	580.79	41.857
0	0	581.5	41.857
0	0	582.21	41.857
0	0	582.92	41.857
0	0	583.63	41.857
0	0	584.34	41.857
0	0	585.05	42.007
0	0	585.76	42.007
0	0	586.47	42.007
0	0	587.18	42.007
0	0	587.89	42.007
0	0	588.6	42.007
0	0	589.31	42.007
0	0	590.02	42.007
0	0	590.73	42.007
0	0	591.44	42.007
0	0	592.15	42.007
0	0	592.86	42.007
0	0	593.57	42.007
0	0	594.28	42.007
0	0	594.99	42.007
0	0	595.7	42.007
0	0	596.41	42.007
0	0	597.12	42.007
0	0	597.83	42.007
0	0	598.54	42.007
0	0	599.25	42.007
0	0	599.96	42.007
0	0	600.67	42.145
0	0	601.38	42.145
0	0	602.09	42.145
0	0	602.8	42.145
0	0	603.51	42.145
0	0	604.22	42.145
0	0	604.93	42.145
0	0	605.64	42.145
0	0	606.35	42.145
0	0	607.06	42.145
0	0	607.77	42.145
0	0	608.48	42.145
0	0	609.19	42.145
0	0	609.9	42.145
0	0	610.61	42.145
0	0	611.32	42.145
0	0	612.03	42.145
0	0	612.74	42.145
0	0	613.45	42.145
0	0	614.16	42.145
0	0	614.87	42.145
0	0	615.58	42.145
0	0	616.29	42.104
0	0	617	42.104
0	0	617.71	42.104
0	0	618.42	42.104
0	0	619.13	42.104
0	0	619.84	42.104
0	0	620.55	42.104
0	0	621.26	42.104
0	0	621.97	42.104
0	0	622.68	42.104
0	0	623.39	42.104
0	0	624.1	42.104
0	0	624.81	42.104
0	0	625.52	42.104
0	0	626.23	42.104
0	0	626.94	42.104
0	0	627.65	42.104
0	0	628.36	42.104
0	0	629.07	42.104
0	0	629.78	42.104
0	0	630.49	42.104
0	0	631.2	42.104
0	0	631.91	42.011
0	0	632.62	42.011
0	0	633.33	42.011
0	0	634.04	42.011
0	0	634.75	42.011
0	0	635.46	42.011
0	0	636.17	42.011
0	0	636.88	42.011
0	0	637.59	42.011
0	0	638.3	42.011
0	0	639.01	42.011
0	0	639.72	42.011
0	0	640.43	42.011
0	0	641.14	42.011
0	0	641.85	42.011
0	0	642.56	42.011
0	0	643.27	42.011
0	0	643.98	42.011
0	0	644.69	42.011
0	0	645.4	42.011
0	0	646.11	42.011
0	0	646.82	42.011
0	0	647.53	41.873
0	0	648.24	41.873
0	0	648.95	41.873
0	0	649.66	41.873
0	0	650.37	41.873
0	0	651.08	41.873
0	0	651.79	41.873
0	0	652.5	41.873
0	0	653.21	41.873
0	0	653.92	41.873
0	0	654.63	41.873
0	0	655.34	41.873
0	0	656.05	41.873
0	0	656.76	41.873
0	0	657.47	41.873
0	0	658.18	41.873
0	0	658.89	41.873
0	0	659.6	41.873
0	0	660.31	41.873
0	0	661.02	41.873
0	0	661.73	41.873
0	0	662.44	41.873
0	0	663.15	41.852
0	0	663.86	41.852
0	0	664.57	41.852
0	0	665.28	41.852
0	0	665.99	41.852
0	0	666.7	41.852
0	0	667.41	41.852
0	0	668.12	41.852
0	0	668.83	41.852
0	0	669.54	41.852
0	0	670.25	41.852
0	0	670.96	41.852
0	0	671.67	41.852
0	0	672.38	41.852
0	0	673.09	41.852
0	0	673.8	41.852
0	0	674.51	41.852
0	0	675.22	41.852
0	0	675.93	41.852
0	0	676.64	41.852
0	0	677.35	41.852
0	0	678.06	41.852
0	0	678.77	41.792
0	0	679.48	41.792
0	0	680.19	41.792
0	0	680.9	41.792
0	0	681.61	41.792
0	0	682.32	41.792
0	0	683.03	41.792
0	0	683.74	41.792
0	0	684.45	41.792
0	0	685.16	41.792
0	0	685.87	41.792
0	0	686.58	41.792
0	0	687.29	41.792
0	0	688	41.792
]
% Normalisation
Amp = 5 % amplification factor
%point 1 x = -13
%experimental
z_13_exp = x_13(:,1);
u_13_exp = x_13(:,2);
u_norm_13 = Amp.*(u_13_exp./(max(u_13_exp)));
x1 = (-13) - (u_norm_13);
%simulated
z_13_sim = x_13(:,3);
u_13_sim = x_13(:,4);
u_norm_13_s = Amp.*(u_13_sim./(max(u_13_sim)));
x1_s = (-13) - (u_norm_13_s);
%point 2 x = -263
%experimented
z_263_exp = x_263(:,1);
u_263_exp = x_263(:,2);
u_norm_263 = Amp.*(u_263_exp./(max(u_263_exp)));
x2 = (-263) - (u_norm_263);
%Simulated
z_263_sim = x_263(:,3);
u_263_sim = x_263(:,4);
u_norm_263_s = Amp.*(u_263_sim./(max(u_263_sim)));
x2_s = (-263) - (u_norm_263_s);

%point 3 x = 37
%experimented
z_37_exp = x_37(:,1);
u_37_exp = x_37(:,2);
u_norm_37 = Amp.*(u_37_exp./(max(u_37_exp)));
x3 = (37) - (u_norm_37);
%Simulated
z_37_sim = x_37(:,3);
u_37_sim = x_37(:,4);
u_norm_37_s = Amp.*(u_37_sim./(max(u_37_sim)));
x3_s = (37) - (u_norm_37_s);

%point 4 x = 87
%experimented
z_87_exp = x_87(:,1);
u_87_exp = x_87(:,2);
u_norm_87 = Amp.*(u_87_exp./(max(u_87_exp)));
x4 = (87) - (u_norm_87);
%Simulated
z_87_sim = x_87(:,3);
u_87_sim = x_87(:,4);
u_norm_87_s = Amp.*(u_87_sim./(max(u_87_sim)));
x4_s = (87) - (u_norm_87_s);

%point 5 x = -113
%experimented
z_113_exp = x_113(:,1);
u_113_exp = x_113(:,2);
u_norm_113 = Amp.*(u_113_exp./(max(u_113_exp)));
x5 = (-113) - (u_norm_113);
%Simulated
z_113_sim = x_113(:,3);
u_113_sim = x_113(:,4);
u_norm_113_s = Amp.*(u_113_sim./(max(u_113_sim)));
x5_s = (-113) - (u_norm_113_s);

%point 6 x = -63
%experimented
z_63_exp = x_63(:,1);
u_63_exp = x_63(:,2);
u_norm_63 = Amp.*(u_63_exp./(max(u_63_exp)));
x6 = (-63) - (u_norm_63);
%Simulated
z_63_sim = x_63(:,3);
u_63_sim = x_63(:,4);
u_norm_63_s = Amp.*(u_63_sim./(max(u_63_sim)));
x6_s = (-63) - (u_norm_63_s);

%point 7 x = 187
%experimented
z_187_exp = x_187(:,1);
u_187_exp = x_187(:,2);
u_norm_187 = Amp.*(u_187_exp./(max(u_187_exp)));
x7 = (187) - (u_norm_87);
%Simulated
z_187_sim = x_187(:,3);
u_187_sim = x_187(:,4);
u_norm_187_s = Amp.*(u_187_sim./(max(u_187_sim)));
x7_s = (187) - (u_norm_187_s);

%point 8 x = 137
%experimented
z_137_exp = x_137(:,1);
u_137_exp = x_137(:,2);
u_norm_137 = Amp.*(u_137_exp./(max(u_137_exp)));
x8 = (137) - (u_norm_137);
%Simulated
z_137_sim = x_137(:,3);
u_137_sim = x_137(:,4);
u_norm_137_s = Amp.*(u_137_sim./(max(u_137_sim)));
x8_s = (137) - (u_norm_137_s);

%plot point 1
plot(x1,z_13_exp,'k');
hold on
plot(x1_s,z_13_sim);
%plot point 2
hold on
plot(x2,z_263_exp,'k');
hold on
plot(x2_s,z_263_sim);
%plot point 3
hold on
plot(x3,z_37_exp,'k');
hold on
plot(x3_s,z_37_sim);
%plot point 4
hold on
plot(x4,z_87_exp,'k');
hold on
plot(x4_s,z_87_sim);
%plot point 5
hold on
plot(x5,z_113_exp,'k');
hold on
plot(x5_s,z_113_sim);
%plot point 6
hold on
plot(x6,z_63_exp,'k');
hold on
plot(x6_s,z_63_sim);
%plot point 7
hold on
plot(x7,z_187_exp,'k');
hold on
plot(x7_s,z_187_sim);
%plot point 8
hold on
plot(x8,z_137_exp,'k');
hold on
plot(x8_s,z_137_sim);





Conclusions

  • Created the cad model
  • Simulated external flow over Ahmed body through transient simulation
  • Post processed and extracted Drag and lift force values
  • Extracted velocity contours
  • Validated with experimental data by visualising the variation of velocity in x direction at different z locations
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