$\rm H_2CO$ and $\rm H110α$ Observations toward the Aquila Molecular Cloud
Toktarkhan Komesh Jarken Esimbek Willem Baan Jianjun Zhou Dalei Li Gang Wu Yuxin He Serikbek Sailanbek Xindi Tang Arailym Manapbayeva






Toktarkhan Komesh
toktarhan@xao.ac.cn


Xinjiang Astronomical Observatory, Chinese Academy of Sciences, Urumqi 830011, PR China
Department of Solid State Physics and Nonlinear Physics, Faculty of Physics and Technology, Al-Farabi Kazakh National University, Almaty, 050040, Kazakhstan
University of the Chinese Academy of Sciences, Beijing 100080, P. R. China


Xinjiang Astronomical Observatory, Chinese Academy of Sciences, Urumqi 830011, PR China
Key Laboratory of Radio Astronomy, Chinese Academy of Sciences, Urumqi 830011, PR China


Xinjiang Astronomical Observatory, Chinese Academy of Sciences, Urumqi 830011, PR China
Netherlands Institute for Radio Astronomy,  ASTRON, 7991 PD, Dwingeloo, The Netherlands



Xinjiang Astronomical Observatory, Chinese Academy of Sciences, Urumqi 830011, PR China
Key Laboratory of Radio Astronomy, Chinese Academy of Sciences, Urumqi 830011, PR China


Xinjiang Astronomical Observatory, Chinese Academy of Sciences, Urumqi 830011, PR China
Key Laboratory of Radio Astronomy, Chinese Academy of Sciences, Urumqi 830011, PR China


Xinjiang Astronomical Observatory, Chinese Academy of Sciences, Urumqi 830011, PR China
Key Laboratory of Radio Astronomy, Chinese Academy of Sciences, Urumqi 830011, PR China

Xinjiang Astronomical Observatory, Chinese Academy of Sciences, Urumqi 830011, PR China
Key Laboratory of Radio Astronomy, Chinese Academy of Sciences, Urumqi 830011, PR China

Xinjiang Astronomical Observatory, Chinese Academy of Sciences, Urumqi 830011, PR China
Department of Solid State Physics and Nonlinear Physics, Faculty of Physics and Technology, Al-Farabi Kazakh National University, Almaty, 050040, Kazakhstan
University of the Chinese Academy of Sciences, Beijing 100080, P. R. China

Xinjiang Astronomical Observatory, Chinese Academy of Sciences, Urumqi 830011, PR China
Key Laboratory of Radio Astronomy, Chinese Academy of Sciences, Urumqi 830011, PR China


Department of Solid State Physics and Nonlinear Physics, Faculty of Physics and Technology, Al-Farabi Kazakh National University, Almaty, 050040, Kazakhstan







The formaldehyde H_2CO(1_10 - 1_11) absorption line and H110α radio recombination line (RRL) have been observed 
toward the Aquila Molecular Cloud using the Nanshan 25 m telescope operated by the Xinjiang Astronomical Observatory CAS. 
These first observations of the H_2CO (1_10 - 1_11) absorption line determine the extent of the molecular regions that are affected by the ongoing star formation in the Aquila molecular complex and show some of the dynamic properties. 
The distribution of the excitation temperature T_ex for H_2CO identifies the two known star formation regions W40 and Serpens South as well as a smaller new region Serpens 3. 
The intensity and velocity distributions of H_2CO and ^13CO(1-0)  do not agree well with each other, which confirms that the H_2CO absorption structure is mostly determined by the excitation of the molecules resulting from the star formation rather than by the 
availability of molecular material as represented by the  distribution.
Some velocity-coherent linear ^13CO(1-0) structures have been identified in velocity channel maps of H_2CO and it is found that the three star formation regions lie on the intersect points of filaments.
The H110α emission is found only at the location of the W40 H II region and spectral profile indicates a redshifted spherical outflow structure in the outskirts of the H II region.
Sensitive mapping of H_2CO absorption of the Aquila Complex has correctly identified the locations of star-formation activity in complex molecular clouds and the spectral profiles reveal the dominant velocity components and may identify the presence of outflows.







§ INTRODUCTION

The Aquila Molecular Cloud (AMC) or the Aquila Rift complex is located along the Galactic plane and stretches 
from 20  to 40  in longitude and from -1  to 10  in latitude, as revealed by CO and H 1,
observations <cit.>. The western part of Aquila Rift contains several active star-forming 
regions: Serpens Main, Serpens South, W40, and MWC 297. Here, we focus on part of the Aquila Rift complex that 
harbors two known sites of star formation: the western Serpens South is a young embedded 
cluster <cit.>, and the eastern W40 is  a cluster associated with an H II  region 
<cit.>. 

Spitzer observations show W40 and the embedded cluster Serpens South nearby on the sky such that Serpens South and is seemingly part of the W40 region <cit.>.
The distance to Serpens Main and W40 has recently been measured to be 436 pc and the distance to 
Serpens South should be similar, because the velocities of these clouds are very similar <cit.>. 
Similarly <cit.> proposed that Serpens South region may be interacting with the W40 HII expanding shell, which would place Serpens South and W40 at almost the same distance.
However, wide-field observations of the  ^12CO (2-1) and  ^13CO (2-1) emissions towards the Aquila Rift show 
the two spatially-extended components Serpens South and W40 at different velocities, which suggests that arcs and large-scale expanding bubbles and/or flows affect the velocity fields and play a role in the formation 
and evolution of the these clouds <cit.>.

In this study we consider the H_2CO absorption at 4.830 GHz and H110α recombination line emission at 
4.874 GHz in the Aquila Rift. 
The distribution of H_2CO absorption in the Galaxy and against 262 Galactic radio sources has been surveyed 
showing that H_2CO absorption is associated with most of the H II regions <cit.>. 
Since H_2CO is only seen in absorption against a background continuum it only samples the physical conditions in the 
foreground of the H II region, while other mm and sub-mm spectral lines are observed both in front and behind
the source. The correlation between the distribution of ^13CO emission and H_2CO  absorption is found to be very 
strong such that both components arise from similar regions <cit.>.

In the present paper, we show results of the first H_2CO and H110α observations toward the W40 and Serpens 
South regions of the Aquila Rift. In Section 2, we present the details of our observations. 
The results and discussion of the observations are described in Section 3. 
Finally, the conclusions are summarised in Section 4.






§ OBSERVATIONS AND DATABASE ARCHIVES




 §.§ H_2CO and H110α observations


The H_2CO (1_10-1_11)  absorption line (λ = 6 cm, ν_0=4829.6594 MHz) and the 
H110α RRL (ν_0=4874.1570 MHz)  have been observed in the Aquila molecular cloud during February 2015 
using the Nanshan 25-m radio telescope of the Xinjiang Astronomical Observatory of Chinese Academy of Sciences. 

The 25-m radio telescope has an HPBW (half power beam width) of 10  at this wavelength. 
The observations were performed in an On-The-Fly mode with an average integration time of one minute for each position. 
The central position of the observing pattern is 18^h30^m03^s -20240(J2000). 
The 6 cm low noise receiver had a system temperature of about 23 K during the observations. 
In order to observe the H_2CO and the H110α RR lines simultaneously, the center 
frequency of the spectrometer was set at 4851.9102 MHz. A Digital Filter Bank was used with 8192 channels 
and 64 MHz bandwidth,  corresponding to a velocity resolution of 0.48 km s^-1 at 4.852 GHz. 
The sensitivity of the system (DPFU, Degrees Per Flux Unit) was 0.116 K Jy^-1 and the main beam efficiency 
at this wavelength is 65%.

We used CLASS and GREG (parts of GILDAS) to process the H_2CO and H110α line data.  The area of 
the Aquila molecular cloud observed is 100× 100. 
The average sigma noise level of these maps is 0.020 K.
The signal to noise ratio of all detected points was better than 3. 
Assuming a distance of 436 pc for the Aquila complex, the spatial scale of the maps is 0.124 pc arcmin^-1.



 §.§ Archival data

The ^13CO(1-0) and  ^12CO(1-0) data observed with the 13.7 m millimeter wave telescope of 
Purple Mountain Observatory in Delingha in April and May 2011 have been taken from the Millimeter Wave Radio 
Astronomy Database[http://www.radioast.nsdc.cn]. 
The velocity resolution of this data is 0.17 and the system temperature of these on-the-fly mode observations 
ranged from 250 to 310 K. 
The ^13CO(J=1-0) data to 10 has been resampled onto the H_2CO observing grid.
The sigma noise levels of the ^13CO(1-0) and  ^12CO(1-0) data are 0.056 K and 0.122 K, respectively.
The 6 cm continuum data for the Aquila Rift region has been obtained from the Sino-German λ6 polarization 
survey of the Galactic Plane using the Urumqi 25 m telescope of the National Astronomical Observatories, CAS, were taken by 
<cit.>. The central frequency of the data was 4.8 GHz, and the observing bandwidth was 600 MHz. 
The resolution of the data is 9.5and the system temperature was about 22 K at the zenith.











§ RESULTS AND DISCUSSION




 §.§ The Formaldehyde Absorption


The intensity map of the H_2CO absorption towards the Aquila Molecular Cloud integrated over the velocity interval 
of 3 - 11 km s^-1 is shown in Fig.<ref>a. The observation parameters are shown in Tab.<ref>. 
Two concentrations can be seen in the map, that correspond to the W40 H II region and Serpens South 
with maximum flux values of the H_2CO absorption of -1.097 K and -1.007 K km s^-1.   
The velocities at the offsets of (20,-5) and (0,0) are 7.125 and 6.216 , respectively.
The color-scale map of the ^13CO(J=1-0) emission is shown together with the H_2CO contours in Fig.<ref>b. 
The ^13CO emission map at Serpens South shows several elongated structures that only partially follow the H_2CO absorption structure and there is enhanced emission on the north 
side o W40 that could result from heating by the H II region.

The H_2CO absorption and the ^13CO emission structures are not in good agreement with each other in both the 
Serpens South and the H II region. The ^13CO emission at W40 is offset and there is no clear concentration 
or a change in optical depth corresponding to Serpens South in Fig.<ref>b. 
The velocity distributions of H_2CO is smooth and shows a gradient towards the East of the AMC (Fig.<ref>a). 
In the W40 region the velocity of 7 km/s corresponds to the systematic velocity of cold gas surrounding the entire region <cit.> and agrees with the velocity found at the periphery of this region by <cit.>. The velocity of H_2CO (  6 km/s) at the southern part of main body of Serpens South agrees with the ^13CO velocity distribution. 
On the other hand, the velocity structure of ^13CO (Fig.<ref>b) shows significant substructure and a gradient 
towards the North-East. The low intensity regions at the boundary between W40 and Serpens South may be related to 
an interaction between the regions as suggested by  <cit.>.
In detail, the H_2CO absorption and ^13CO emission display different distributions and there 
is no clear evidence that the Serpens South region is superposed on the sky with the W40 region.

The 5 GHz radio continuum image within AMC is displayed in Fig.<ref>. The continuum temperature T_c in 
the H II region ranges from 1 to 3.3 K, and is less than 0.04 K in Serpens South (in Tab.<ref>, col.6).

The strong H_2CO absorption at W40 is clearly related to the radio continuum of the H II region, while 
the continuum is significantly weaker at Serpens South. Because the ^13CO emission does not show any enhancement 
at Serpens South, the H_2CO absorption there should result from an enhanced continuum background within Serpens 
South in addition to the cosmic microwave background (CMB).
Therefore the absorption contours in W40 and Serpens South define the extent of the region that is affected by the ongoing 
star formation, which is well beyond the sites of star formation.

The formaldehyde line is in absorption across the whole region of W40 and Serpens South. This can only happen when 
everywhere the excitation temperature of the 6-cm line is less than the brightness temperature of the radio continuum sources 
plus the microwave background.
While the excitation temperature T_ex may be uniformly low (≤ 1K) in cold clouds <cit.>, the 
excitation conditions may vary strongly across star formation regions. 
Therefore,  a simple determination of the absorbing H_2CO column density would not be accurate. Instead we perform an approximate determination of the excitation temperature of H_2CO across the region.
Making the imperfect assumption that the column densities of H_2CO and ^13CO(1-0) are correlated, we may estimate the H_2CO column density from the column density of ^13CO(1-0), which may be obtained from <cit.>. 
Assuming an H_2CO to H_2 abundance ratio of 3×10^-9 <cit.> and a ^13CO(1-0) 
to H_2 abundance ratio of 2.4×10^-6 <cit.>,  the column density ratio of  
between H_2CO and ^13CO(1-0) may be calculated as:

    N(H_2CO)=1.25×10^-3N(^13CO).

Using the optical depth τ_app of H_2CO as calculated using the formulation in <cit.>:

    N(H_2CO) = 9.4 × 10^13·τ_app·Δ V (cm^-2),

which already assumed a mean value for T_ex = 2 K.  The excitation temperature of H_2CO may then be calculated using <cit.> as follows:

    T_L=(T_ex-T_c)[1-exp(-τ_app)] (K),

where T_L is the antenna temperature of the absorption line in degrees kelvin, and T_c is the continuum brightness 
temperature of the radio background plus the CMB. The results for N(H_2CO) and T_ex are presented in Tab.<ref>.

The distribution of T_ex determined in this manner shows an enhanced temperature around W40 H II region 
ranging from 2 - 5 K and around Serpens South ranging from 1 - 2 K (Fig.<ref>). 
This enhanced T_ex in Serpens South confirms the presence of local heating source and ongoing star formation activity. 
In addition, there is another Serpens 3 region in the formaldehyde absorption structure south of W40 that shows similar 
conditions of (prestellar) star-formation and inferred weak radio continuum (Fig.<ref>).
It appears that the extent of the H_2CO absorption is determined mostly by the excitation of the molecules in regions that are affected by the star formation rather than by the availability of molecular material as represented by the ^13CO(J=1-0) distribution.
In order to connect the Serpens 3 region with evidence of ongoing star formation, the locations of protostellar cores <cit.> in the region have been added to Fig. <ref>. 
While there are protostellar cores associated with W40 and Serpens South, there are no cores (yet) present around Serpens 3. 
This would suggest that the Serpens 3 region is still less evolved than the other regions of star-formation. 
On the other hand, protostellar cores are found around the north-west extension of the H_2CO absorption, which shows less enhancement of T_ex but may also qualify as a star-forming region.




The map of the H_2CO line width superposed on the H_2CO integrated intensity contours and spectral plots at four 
selected regions are shown in Fig.<ref>. The spectra at locations (A) around W40 H II and (B) 
around Serpens South show a single feature with a multicomponent substructure. 
The spectral feature at Serpens South is slightly weaker and broader than the feature at W40 and shows shallow 
redshifted and blueshifted wings, possibly resulting from outflows or the superposition of multiple components. 
The W40 spectrum shows a possible blueshifted feature in  at -8.5 that could have a counterpart in the 
H110α RL at that location (see section below).
The  spectra at locations (C) and (D) show a broader multicomponent structure. 
In the (C) region at a distance of of 0.7 pc West of the W40 H II the spectrum is broadened relative to the 
W40 spectrum (A) and has a low velocity shoulder similar to that found in the ^13CO(1-0) spectrum and the 
map of Figure <ref>b. This lower velocity component may suggest the presence of an outflow component 
associated with the W40 H II region. 
The southeastern region (D) of Serpens 3 also shows line broadening toward lower velocities as compared with
the spectrum at W40 (A) as well as a high-velocity wing that may result from a superposition of cloud 
filaments moving to the northeast. In addition, there may be a separate high-velocity component at 15 .

The H_2CO channel maps are presented in Fig.<ref> with velocity interval of 1 .  
Most of the Serpens South part has a velocity of 6 , while most of the W40 part has velocity of 7 . 
In the 5 panel an east–west and a southeast–northwest velocity-coherent linear structure are present, which resemble  
the linear structures in ^13CO(1-0) intensity map (Fig.<ref>b). Similarly at 8 there is a northeast–southwest 
structure running through the W40 region.
In order to emphasize these structures, we indicate with dashed curves the locations of apparently velocity-coherent 
structures superposed on the H_2CO intensity map integrated over the intervals of 5 - 6 in Fig.<ref>. 
Assuming the distance of 436 pc, these linear structures are about 5 - 10 pc in length and they may be remnants of the 
super-bubbles converging in our observed area (see also <cit.>).
It should be noted that our three star formation regions coincide with intersection points of these linear structures.











 §.§ The H110α Recombination Line

  
The H110α RRL is only detected at the W40 H II region. 
The spectrum of the H110α line at W40 is presented in Fig.<ref> together with the ^13CO(1-0) profile 
at the same location. 
This much broader profile comes from the distribution across the circular image of W40, starting at 10 and tapering off at -20 . However, the H110α spectrum at W40 does not have a counterpart in the ^13CO(1-0) profile at lower velocities, but there may be weak spectral component (to be confirmed) in the H_2CO absorption spectrum at -8.5 .
With a peak continuum temperature of 3.33 K, the optical depth (T_L/T_c) has a peak value of 0.038, with an average value of 0.15.
The profile of the H110α line resembles a spherical (blueshifted) outflow with an approximate (1- (V/V_o)^2)^n shape, where outflow velocity V_o is on the order of 25 .
The local thermodynamic equilibrium electron temperature T^*_e is determined using recombination lines by <cit.> discussions as follows:

    T^*_e=[3.624×10^4 · (T_c/(T_L ·Δ v)]^0.87 ,

where the T^*_e indicates a value of 7300 K assuming the peak optical depth and a total line width of 35 .
This value is meaningful when all H110α emission originates within the outskirts of a typical H II region.



§ CONCLUSION

The H_2CO (1_10 - 1_11) absorption line and H110α RRL emission line have been mapped for the 
first time toward the Aquila molecular cloud containing the W40 H II region and the Serpens South region. 
The map of the integrated intensity of the H_2CO absorption clearly defines the boundaries of the area that is affected 
by the embedded star formation. There is prominent absorption at the location of the W40 H II region and 
weaker absorption in the Serpens South region. 
A third star formation region Serpens 3 has been identified 1.4 pc south of W40. 
No substantial correspondence has been found between the three star formation regions and the emission map of ^13CO(1-0). 
Except for the W40 region, the intensity and velocity distributions of H_2CO and ^13CO(1-0) do not agree well 
with each other. 

The radio continuum structure of the region shows a T_c peak at the W40 H II region, but only estimated values 
of 0.04 K in the Serpens South region and at Serpens 3. 
Therefore, the H_2CO absorption at W40 comes from the H II region plus the CMB background, while the weaker 
components at Serpens South and the Serpens 3 regions result from a weak continuum background plus the CMB.
The extent of the H_2CO absorption confirms that it is mostly determined by the excitation of the molecules in regions that are affected by the star formation rather than the availability of molecular gas as depicted by ^13CO(J=1-0).

Instead of determining the absorbing column density of the formaldehyde across the region with clearly varying 
environmental conditions, we determined the excitation temperature of the H_2CO.
Assuming that the column densities of H_2CO relates to that of ^13CO(1-0) (see <cit.>), 
and that there is fixed abundance ratio of H_2CO and ^13CO(1-0), the column density of ^13CO(1-0) may be 
used to determine the T_ex distribution. While this procedure may not be very reliable, the T_ex shows enhancements 
in the W40 H II region ranging from  2 to 5 K, and >2 at Serpens South. This also identifies the new star formation region 
Serpens 3 region with T_ex = 2 K. 
The results show that the local conditions strongly affect the excitation of H_2CO and that assuming a constant value 
for T_ex would not be appropriate across this region. 

The velocity structure of H_2CO is very smooth while the velocity structure of  ^13CO(1-0) has much fine structure 
and a gradient in a different direction.
Therefore, the presence of H_2CO absorption may be correlated with significant substructure within the ^13CO(1-0) integrated emission structure but there is no global correlation.
The integrated intensity map of ^13CO(1-0) shows several fine structure regions with discrepant velocities. 
One of these regions at about 1.2 pc west of W40 has a larger linewidth for H_2CO and shows a lower ^13CO(1-0) 
velocity. This region may be associated with an outflow found in a near-infrared survey by Zhang et al. (2015).

Some velocity-coherent filamentary structures have been identified in velocity channel maps of H_2CO that are possible 
remnants of earlier super-bubble structures. 
Assuming the distance of 436 pc, these linear structures range between about 5 - 10 pc in length. 
The three star formation regions are found to lie close to intersection points of these filaments, which may suggest a causal relation.
The observed velocity substructure of the H_2CO absorption lines may also relate to the presence of such filaments.

The H110α RRL is only detected in the W40 H II region. The emission spectrum of H110α shows a broad profile covering a velocity range of 30 . The shape of the spectral profile suggests that this emission originates in a  shell
in front of W40 that is spherically expanding at 26 . The LTE electron temperature corresponding to the line strength 
is estimated at 7900 K, which is typical value for the outskirts of an H II region. 

Sensitive mapping of H_2CO absorption has been able to correctly identify star-formation activity in complex molecular clouds 
such as the Aquila Complex. In addition, the detailed structure of the absorption lines may reveal discrepant velocity components resulting from outflow regions.


This work was sponsored by CAS-TWAS President's Fellowship for International Doctoral Students, and The National Natural Science foundation of China under grants 11433008, 11703074, 11703073, and 11603063, and The Program of the Light in China's Western Region (LCRW) under grant Nos. 2016-QNXZ-B-22, 2016-QNXZ-B-23, and 2018-XBQNXZ-B-024. W.A.B. has been funded by Chinese Academy of Sciences President's International Fellowship 
Initiative under grant No. 2019VMA0040.
This work is based on observations made with the Nanshan 25m radio telescope, which is operated by the Kay Laboratory of Radio Astronomy, Chinese Academy of Sciences.

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r|rrrrrrrr
	Parameters of the  H_2CO  (1_10 - 1_11) absorption line
	Offset                       
		Flux                       
		Velocity                     
		Width           
		T_L                    
		T_C                    
		τ_app                   
		N(H_2CO)                    
		T_ex  

		arcmin     
		K km s^-1    
		km s^-1		   
		km s^-1		   
		K	   
		K	   
		   
		10^12cm^-2	   
		K 
	
	-25,-30      		-0.2376  (0.02)				   		7.187			(0.18)	   			4.517		(0.52)	   			-0.049			   			0.011 			   			0.08      				   			3.19    			   		0.69      				

	-15,-30      		-0.2935  (0.02)				   		5.66 			(0.24)	   			5.95 		(0.49)	   			-0.046			   			0.024 			   			0.08      				   			4.20    			   		0.67      				

	-10,-30      		-0.2947  (0.02)				   		5.898			(0.15)	   			4.279		(0.33)	   			-0.065			   			0.027 			   			0.11      				   			4.40    			   		0.65      				

	-5,-30      		-0.3709  (0.02)				   		5.647			(0.10)	   			3.853		(0.21)	   			-0.090			   			0.029 			   			0.17      				   			6.06    			   		0.62      				

	0,-30      		-0.3654  (0.02)				   		5.883			(0.14)	   			4.114		(0.28)	   			-0.083			   			0.031 			   			0.14      				   			5.54    			   		0.66      				

	5,-30      		-0.3531  (0.02)				   		6.193			(0.12)	   			3.835		(0.26)	   			-0.087			   			0.036 			   			0.15      				   			5.24    			   		0.68      				

	10,-30      		-0.45    (0.02)				   		6.418			(0.11)	   			4.106		(0.27)	   			-0.103			   			0.043 			   			0.12      				   			4.77    			   		0.93      				

	15,-30      		-0.5038  (0.03)				   		6.709			(0.10)	   			4.065		(0.23)	   			-0.116			   			0.046 			   			0.12      				   			4.48    			   		1.09      				

	20,-30      		-0.4239  (0.03)				   		6.345			(0.12)	   			3.844		(0.27)	   			-0.104			   			0.048 			   			0.12      				   			4.16    			   		1         				

	25,-30      		-0.3951  (0.03)				   		6.704			(0.13)	   			3.851		(0.30)	   			-0.096			   			0.051 			   			0.12      				   			4.33    			   		0.91      				

	30,-30      		-0.4358  (0.01)				   		6.626			(0.05)	   			3.274		(0.11)	   			-0.125			   			0.061 			   			0.17      				   			5.20    			   		0.87      				

	35,-30      		-0.3491  (0.02)				   		6.514			(0.07)	   			2.434		(0.14)	   			-0.135			   			0.072 			   			0.2       				   			4.56    			   		0.82      				

	40,-30      		-0.2275  (0.02)				   		6.627			(0.10)	   			2.412		(0.24)	   			-0.089			   			0.075 			   			0.19      				   			4.24    			   		0.59      				

	-15,-25      		-0.3384  (0.03)				   		5.586			(0.26)	   			6.38 		(0.68)	   			-0.050			   			0.024 			   			0.07      				   			4.01    			   		0.79      				

	-10,-25      		-0.3575  (0.03)				   		6.19 			(0.16)	   			4.482		(0.36)	   			-0.075			   			0.029 			   			0.11      				   			4.58    			   		0.76      				

	-5,-25      		-0.4409  (0.02)				   		5.608			(0.12)	   			4.842		(0.33)	   			-0.086			   			0.032 			   			0.11      				   			5.12    			   		0.84      				

	0,-25      		-0.3756  (0.02)				   		5.548			(0.12)	   			4.069		(0.28)	   			-0.087			   			0.033 			   			0.13      				   			4.83    			   		0.76      				

	5,-25      		-0.4196  (0.02)				   		6.081			(0.09)	   			3.883		(0.18)	   			-0.102			   			0.034 			   			0.14      				   			5.04    			   		0.83      				

	10,-25      		-0.5856  (0.02)				   		6.525			(0.07)	   			3.599		(0.16)	   			-0.153			   			0.043 			   			0.16      				   			5.32    			   		1.09      				

	15,-25      		-0.6487  (0.02)				   		6.611			(0.06)	   			3.69 		(0.14)	   			-0.165			   			0.056 			   			0.13      				   			4.48    			   		1.42      				

	20,-25      		-0.4641  (0.02)				   		6.592			(0.07)	   			3.239		(0.17)	   			-0.135			   			0.055 			   			0.14      				   			4.19    			   		1.11      				

	25,-25      		-0.387   (0.02)				   		6.872			(0.07)	   			2.765		(0.16)	   			-0.131			   			0.058 			   			0.16      				   			4.09    			   		0.96      				

	30,-25      		-0.4065  (0.02)				   		6.844			(0.06)	   			2.742		(0.13)	   			-0.139			   			0.067 			   			0.16      				   			4.22    			   		0.99      				

	35,-25      		-0.2898  (0.02)				   		6.742			(0.07)	   			2.485		(0.15)	   			-0.110			   			0.072 			   			0.19      				   			4.52    			   		0.7       				

	-15,-20      		-0.2043  (0.02)				   		6.119			(0.24)	   			4.444		(0.49)	   			-0.043			   			-      			   			0.06      				   			2.44    			   		0.76      				

	-10,-20      		-0.2911  (0.02)				   		6.787			(0.17)	   			4.375		(0.38)	   			-0.063			   			0.032 			   			0.1       				   			4.12    			   		0.69      				

	-5,-20      		-0.3486  (0.03)				   		6.587			(0.16)	   			4.421		(0.39)	   			-0.074			   			0.038 			   			0.09      				   			3.91    			   		0.86      				

	0,-20      		-0.3905  (0.03)				   		6.243			(0.15)	   			4.351		(0.31)	   			-0.084			   			0.033 			   			0.11      				   			4.42    			   		0.86      				

	5,-20      		-0.5314  (0.03)				   		6.276			(0.12)	   			4.039		(0.31)	   			-0.124			   			0.034 			   			0.16      				   			6.17    			   		0.86      				

	10,-20      		-0.6238  (0.02)				   		6.413			(0.07)	   			3.663		(0.17)	   			-0.160			   			0.052 			   			0.18      				   			6.35    			   		1         				

	15,-20      		-0.5478  (0.02)				   		6.644			(0.04)	   			3.077		(0.10)	   			-0.167			   			0.076 			   			0.17      				   			4.82    			   		1.16      				

	20,-20      		-0.4843  (0.02)				   		6.485			(0.06)	   			2.919		(0.16)	   			-0.156			   			0.091 			   			0.16      				   			4.37    			   		1.15      				

	25,-20      		-0.416   (0.02)				   		6.98 			(0.07)	   			2.798		(0.15)	   			-0.140			   			0.088 			   			0.16      				   			4.22    			   		1.03      				

	30,-20      		-0.3507  (0.02)				   		6.755			(0.07)	   			2.573		(0.17)	   			-0.128			   			0.085 			   			0.18      				   			4.29    			   		0.87      				

	35,-20      		-0.2327  (0.02)				   		7.052			(0.13)	   			2.698		(0.36)	   			-0.081			   			0.077 			   			0.16      				   			4.06    			   		0.63      				

	40,-20      		-0.1936  (0.02)				   		7.092			(0.16)	   			2.619		(0.40)	   			-0.069			   			0.072 			   			0.13      				   			3.27    			   		0.63      				

	-15,-15      		-0.18    (0.02)				   		5.807			(0.37)	   			5.28 		(0.79)	   			-0.032			   			0.021 			   			0.07      				   			3.34    			   		0.51      				

	-10,-15      		-0.2576  (0.02)				   		5.85 			(0.13)	   			3.681		(0.33)	   			-0.066			   			0.034 			   			0.12      				   			4.08    			   		0.62      				

	-5,-15      		-0.3863  (0.02)				   		5.914			(0.08)	   			3.561		(0.20)	   			-0.102			   			0.039 			   			0.13      				   			4.39    			   		0.87      				

	0,-15      		-0.5037  (0.03)				   		6.333			(0.10)	   			4.047		(0.26)	   			-0.117			   			0.031 			   			0.14      				   			5.26    			   		0.94      				

	5,-15      		-0.6316  (0.02)				   		6.156			(0.06)	   			3.962		(0.17)	   			-0.150			   			0.041 			   			0.18      				   			6.72    			   		0.95      				

	10,-15      		-0.6291  (0.02)				   		6.35 			(0.05)	   			3.592		(0.13)	   			-0.165			   			0.070 			   			0.21      				   			7.21    			   		0.93      				

	15,-15      		-0.4989  (0.01)				   		6.824			(0.04)	   			2.981		(0.11)	   			-0.157			   			0.125 			   			0.19      				   			5.25    			   		1.04      				

	20,-15      		-0.4105  (0.02)				   		6.802			(0.07)	   			2.693		(0.16)	   			-0.143			   			0.189 			   			0.25      				   			6.43    			   		0.83      				

	25,-15      		-0.3963  (0.02)				   		6.883			(0.06)	   			2.811		(0.15)	   			-0.132			   			0.168 			   			0.19      				   			4.98    			   		0.94      				

	30,-15      		-0.3329  (0.02)				   		7.104			(0.07)	   			2.96 		(0.19)	   			-0.106			   			0.135 			   			0.15      				   			4.15    			   		0.9       				

	40,-15      		-0.1788  (0.02)				   		7.287			(0.21)	   			3.214		(0.58)	   			-0.052			   			0.081 			   			0.1       				   			3.16    			   		0.61      				

	-15,-10      		-0.2646  (0.02)				   		5.313			(0.12)	   			3.873		(0.33)	   			-0.064			   			0.026 			   			0.19      				   			6.81    			   		0.4       				

	-10,-10      		-0.3038  (0.02)				   		5.827			(0.11)	   			3.162		(0.25)	   			-0.090			   			0.035 			   			0.24      				   			7.09    			   		0.46      				

	-5,-10      		-0.5445  (0.03)				   		5.982			(0.08)	   			3.54 		(0.19)	   			-0.144			   			0.034 			   			0.18      				   			5.83    			   		0.93      				

	0,-10      		-0.6587  (0.02)				   		6.055			(0.06)	   			3.713		(0.16)	   			-0.167			   			0.036 			   			0.19      				   			6.61    			   		1         				

	5,-10      		-0.6776  (0.02)				   		6.162			(0.06)	   			3.597		(0.15)	   			-0.177			   			0.048 			   			0.2       				   			6.79    			   		1.02      				

	10,-10      		-0.6345  (0.03)				   		6.208			(0.06)	   			3.215		(0.15)	   			-0.185			   			0.105 			   			0.22      				   			6.80    			   		1.02      				

	15,-10      		-0.5845  (0.02)				   		6.538			(0.04)	   			3.125		(0.12)	   			-0.176			   			0.449 			   			0.2       				   			5.84    			   		1.43      				

	20,-10      		-0.6362  (0.03)				   		7.295			(0.06)	   			3.039		(0.15)	   			-0.197			   			1.257 			   			0.27      				   			7.59    			   		2.1       				

	25,-10      		-0.5281  (0.03)				   		7.238			(0.07)	   			2.84 		(0.17)	   			-0.175			   			1.093 			   			0.15      				   			4.06    			   		2.33      				

	30,-10      		-0.3295  (0.02)				   		7.465			(0.08)	   			2.657		(0.20)	   			-0.116			   			0.314 			   			0.16      				   			3.89    			   		1.12      				

	35,-10      		-0.2776  (0.02)				   		7.476			(0.10)	   			2.296		(0.21)	   			-0.114			   			0.148 			   			0.19      				   			4.01    			   		0.82      				

	-15,-5       		-0.3798  (0.02)				   		5.355			(0.09)	   			4.264		(0.27)	   			-0.084			   			0.030 			   			0.22      				   			8.69    			   		0.46      				

	-10,-5       		-0.45    (0.02)				   		5.968			(0.07)	   			3.508		(0.18)	   			-0.121			   			0.038 			   			0.22      				   			7.14    			   		0.66      				

	-5,-5       		-0.6701  (0.02)				   		6.133			(0.06)	   			3.641		(0.16)	   			-0.173			   			0.038 			   			0.18      				   			6.21    			   		1.08      				

	0,-5       		-0.8745  (0.02)				   		6.01 			(0.04)	   			3.509		(0.10)	   			-0.234			   			0.042 			   			0.22      				   			7.34    			   		1.21      				

	5,-5       		-0.8472  (0.02)				   		6.016			(0.04)	   			3.376		(0.10)	   			-0.236			   			0.065 			   			0.23      				   			7.32    			   		1.21      				

	10,-5       		-0.7178  (0.02)				   		6.341			(0.05)	   			3.637		(0.13)	   			-0.185			   			0.285 			   			0.21      				   			7.03    			   		1.28      				

	15,-5       		-0.7391  (0.03)				   		6.608			(0.06)	   			3.475		(0.15)	   			-0.200			   			1.645 			   			0.37      				   			12.10   			   		2.29      				

	20,-5       		-1.097   (0.03)				   		7.125			(0.05)	   			3.275		(0.13)	   			-0.315			   			3.327 			   			0.29      				   			8.79    			   		4.59      				

	25,-5       		-0.9857  (0.02)				   		7.261			(0.04)	   			2.95 		(0.09)	   			-0.314			   			2.591 			   			0.15      				   			4.24    			   		4.8       				

	30,-5       		-0.4751  (0.02)				   		7.251			(0.06)	   			2.532		(0.15)	   			-0.176			   			0.594 			   			0.13      				   			2.99    			   		2.08      				

	35,-5       		-0.2984  (0.02)				   		7.612			(0.09)	   			2.313		(0.19)	   			-0.121			   			0.175 			   			0.18      				   			3.97    			   		0.9       				

	-20,0        		-0.271   (0.02)				   		5.339			(0.14)	   			4.025		(0.32)	   			-0.063			   			0.018 			   			0.13      				   			5.09    			   		0.52      				

	-15,0        		-0.3863  (0.02)				   		5.753			(0.10)	   			4.431		(0.25)	   			-0.082			   			0.031 			   			0.2       				   			8.43    			   		0.48      				

	-10,0        		-0.5059  (0.02)				   		5.647			(0.08)	   			3.831		(0.19)	   			-0.124			   			0.039 			   			0.22      				   			7.90    			   		0.67      				

	-5,0        		-0.8185  (0.02)				   		6.122			(0.05)	   			3.973		(0.12)	   			-0.194			   			0.041 			   			0.19      				   			7.22    			   		1.14      				

	0,0        		-1.007   (0.02)				   		6.216			(0.03)	   			3.392		(0.07)	   			-0.279			   			0.045 			   			0.26      				   			8.21    			   		1.27      				

	5,0        		-0.9486  (0.02)				   		6.4  			(0.03)	   			3.299		(0.08)	   			-0.270			   			0.090 			   			0.21      				   			6.59    			   		1.5       				

	10,0        		-0.86    (0.03)				   		6.425			(0.06)	   			3.757		(0.16)	   			-0.215			   			0.391 			   			0.18      				   			6.43    			   		1.68      				

	15,0        		-0.7699  (0.02)				   		6.679			(0.04)	   			3.431		(0.10)	   			-0.211			   			1.617 			   			0.47      				   			15.10   			   		2.18      				

	20,0        		-1.089   (0.03)				   		7.051			(0.04)	   			3.188		(0.11)	   			-0.321			   			3.179 			   			0.35      				   			10.40   			   		4.27      				

	25,0        		-1.027   (0.02)				   		7.212			(0.03)	   			2.994		(0.08)	   			-0.322			   			2.477 			   			0.38      				   			10.70   			   		3.5       				

	30,0        		-0.5105  (0.02)				   		7.433			(0.05)	   			2.619		(0.13)	   			-0.183			   			0.593 			   			0.29      				   			7.24    			   		1.31      				

	35,0        		-0.3393  (0.02)				   		7.531			(0.09)	   			2.574		(0.20)	   			-0.124			   			0.134 			   			0.17      				   			4.21    			   		0.91      				

	-25,5        		-0.2438  (0.02)				   		5.342			(0.13)	   			3.16 		(0.27)	   			-0.072			   			0.013 			   			0.14      				   			4.03    			   		0.58      				

	-20,5        		-0.3443  (0.02)				   		6.028			(0.11)	   			3.645		(0.28)	   			-0.089			   			0.019 			   			0.15      				   			5.05    			   		0.67      				

	-15,5        		-0.408   (0.01)				   		6.167			(0.06)	   			3.627		(0.14)	   			-0.106			   			0.028 			   			0.21      				   			7.15    			   		0.59      				

	-10,5        		-0.5894  (0.02)				   		5.994			(0.07)	   			3.658		(0.17)	   			-0.151			   			0.039 			   			0.24      				   			8.29    			   		0.74      				

	-5,5        		-0.8586  (0.03)				   		6.065			(0.05)	   			3.27 		(0.12)	   			-0.247			   			0.041 			   			0.27      				   			8.18    			   		1.1       				

	0,5        		-1.063   (0.02)				   		6.245			(0.03)	   			3.331		(0.07)	   			-0.300			   			0.048 			   			0.28      				   			8.83    			   		1.27      				

	5,5        		-1.102   (0.02)				   		6.414			(0.03)	   			3.341		(0.08)	   			-0.310			   			0.076 			   			0.26      				   			8.12    			   		1.44      				

	10,5        		-1.041   (0.03)				   		6.566			(0.05)	   			3.551		(0.11)	   			-0.276			   			0.180 			   			0.23      				   			7.69    			   		1.52      				

	15,5        		-0.8165  (0.02)				   		6.92 			(0.05)	   			3.45 		(0.11)	   			-0.222			   			0.583 			   			0.32      				   			10.50   			   		1.39      				

	20,5        		-0.7599  (0.02)				   		7.199			(0.05)	   			3.208		(0.12)	   			-0.223			   			1.075 			   			0.62      				   			18.70   			   		1.56      				

	25,5        		-0.7333  (0.02)				   		7.22 			(0.04)	   			3.101		(0.10)	   			-0.222			   			0.822 			   			0.42      				   			12.30   			   		1.47      				

	30,5        		-0.6069  (0.02)				   		7.577			(0.04)	   			2.89 		(0.11)	   			-0.197			   			0.245 			   			0.28      				   			7.50    			   		1.06      				

	35,5        		-0.3872  (0.02)				   		7.632			(0.08)	   			2.412		(0.18)	   			-0.151			   			0.110 			   			0.19      				   			4.36    			   		0.97      				

	-30,10       		-0.1847  (0.02)				   		5.655			(0.15)	   			2.883		(0.40)	   			-0.060			   			0.005 			   			0.11      				   			2.97    			   		0.59      				

	-25,10       		-0.3499  (0.02)				   		5.69 			(0.09)	   			3.304		(0.22)	   			-0.100			   			0.013 			   			0.15      				   			4.78    			   		0.71      				

	-20,10       		-0.551   (0.03)				   		5.757			(0.09)	   			4.103		(0.28)	   			-0.126			   			0.017 			   			0.15      				   			5.60    			   		0.95      				

	-15,10       		-0.6083  (0.02)				   		5.947			(0.08)	   			4.071		(0.21)	   			-0.140			   			0.026 			   			0.23      				   			8.66    			   		0.72      				

	-10,10       		-0.6509  (0.02)				   		5.769			(0.05)	   			3.274		(0.12)	   			-0.187			   			0.038 			   			0.31      				   			9.61    			   		0.74      				

	-5,10       		-0.879   (0.02)				   		6.083			(0.04)	   			3.276		(0.11)	   			-0.252			   			0.041 			   			0.28      				   			8.62    			   		1.07      				

	0,10       		-0.9472  (0.02)				   		6.276			(0.04)	   			3.373		(0.09)	   			-0.264			   			0.037 			   			0.26      				   			8.10    			   		1.21      				

	5,10       		-0.952   (0.02)				   		6.468			(0.04)	   			3.408		(0.11)	   			-0.262			   			0.050 			   			0.27      				   			8.52    			   		1.17      				

	10,10       		-0.9794  (0.03)				   		6.587			(0.04)	   			3.569		(0.11)	   			-0.258			   			0.085 			   			0.25      				   			8.47    			   		1.24      				

	15,10       		-0.6987  (0.02)				   		7.048			(0.04)	   			3.044		(0.09)	   			-0.216			   			0.122 			   			0.32      				   			9.19    			   		0.91      				

	20,10       		-0.5961  (0.02)				   		7.577			(0.05)	   			2.802		(0.12)	   			-0.200			   			0.175 			   			0.36      				   			9.56    			   		0.83      				

	25,10       		-0.5113  (0.02)				   		7.537			(0.05)	   			2.569		(0.12)	   			-0.187			   			0.163 			   			0.36      				   			8.81    			   		0.77      				

	30,10       		-0.6237  (0.03)				   		7.788			(0.05)	   			2.662		(0.14)	   			-0.220			   			0.136 			   			0.24      				   			6.08    			   		1.16      				

	35,10       		-0.4458  (0.02)				   		8.229			(0.05)	   			2.416		(0.12)	   			-0.173			   			0.086 			   			0.21      				   			4.86    			   		0.98      				

	-30,15       		-7.97E-02(0.01)				   		5.556			(0.12)	   			1.537		(0.31)	   			-0.049			   			0.005 			   			0.14      				   			1.96    			   		0.39      				

	-25,15       		-0.1822  (0.02)				   		5.638			(0.10)	   			2.622		(0.31)	   			-0.065			   			0.012 			   			0.12      				   			3.02    			   		0.58      				

	-20,15       		-0.284   (0.01)				   		6.01 			(0.07)	   			2.793		(0.16)	   			-0.096			   			0.017 			   			0.18      				   			4.72    			   		0.6       				

	-15,15       		-0.5231  (0.01)				   		5.877			(0.04)	   			3.2  		(0.10)	   			-0.154			   			0.022 			   			0.31      				   			9.41    			   		0.6       				

	-10,15       		-0.6096  (0.01)				   		5.868			(0.03)	   			3.21 		(0.07)	   			-0.178			   			0.031 			   			0.3       				   			9.03    			   		0.72      				

	-5,15       		-0.737   (0.02)				   		6.181			(0.03)	   			3.195		(0.08)	   			-0.217			   			0.036 			   			0.29      				   			8.69    			   		0.9       				

	0,15       		-0.7129  (0.02)				   		6.411			(0.04)	   			3.166		(0.08)	   			-0.212			   			0.033 			   			0.26      				   			7.68    			   		0.96      				

	5,15       		-0.6118  (0.02)				   		6.528			(0.05)	   			3.285		(0.12)	   			-0.175			   			0.034 			   			0.2       				   			6.08    			   		1.01      				

	10,15       		-0.5221  (0.01)				   		6.819			(0.04)	   			3.136		(0.10)	   			-0.156			   			0.043 			   			0.18      				   			5.22    			   		1         				

	15,15       		-0.4577  (0.02)				   		6.879			(0.05)	   			3.173		(0.13)	   			-0.136			   			0.059 			   			0.25      				   			7.36    			   		0.68      				

	20,15       		-0.4603  (0.02)				   		7.154			(0.07)	   			3.133		(0.18)	   			-0.138			   			0.077 			   			0.26      				   			7.73    			   		0.68      				

	25,15       		-0.5063  (0.01)				   		7.285			(0.04)	   			3.016		(0.11)	   			-0.158			   			0.077 			   			0.3       				   			8.37    			   		0.7       				

	30,15       		-0.5156  (0.02)				   		7.391			(0.05)	   			3.025		(0.12)	   			-0.160			   			0.061 			   			0.26      				   			7.29    			   		0.77      				

	35,15       		-0.473   (0.02)				   		7.632			(0.06)	   			3.264		(0.15)	   			-0.136			   			0.048 			   			0.16      				   			5.02    			   		0.95      				

	40,15       		-0.3587  (0.02)				   		8.072			(0.08)	   			2.938		(0.24)	   			-0.115			   			0.046 			   			0.16      				   			4.45    			   		0.82      				

	-25,20       		-8.56E-02(0.01)				   		6.378			(0.13)	   			1.792		(0.27)	   			-0.045			   			0.008 			   			0.21      				   			3.58    			   		0.24      				

	-20,20       		-0.2295  (0.02)				   		6.244			(0.08)	   			2.34 		(0.18)	   			-0.092			   			0.014 			   			0.25      				   			5.50    			   		0.43      				

	-15,20       		-0.4757  (0.01)				   		6.112			(0.04)	   			3.012		(0.10)	   			-0.148			   			0.019 			   			0.37      				   			10.60   			   		0.49      				

	-10,20       		-0.5878  (0.01)				   		6.006			(0.04)	   			2.839		(0.08)	   			-0.195			   			0.024 			   			0.34      				   			9.13    			   		0.7       				

	-5,20       		-0.4776  (0.02)				   		6.255			(0.06)	   			2.81 		(0.15)	   			-0.160			   			0.027 			   			0.26      				   			6.76    			   		0.74      				

	0,20       		-0.3976  (0.02)				   		6.323			(0.06)	   			2.697		(0.13)	   			-0.138			   			0.030 			   			0.22      				   			5.70    			   		0.72      				

	5,20       		-0.2805  (0.02)				   		6.471			(0.08)	   			2.734		(0.19)	   			-0.096			   			0.033 			   			0.23      				   			5.82    			   		0.51      				

	10,20       		-0.2812  (0.02)				   		6.831			(0.08)	   			2.741		(0.18)	   			-0.096			   			0.036 			   			0.2       				   			5.03    			   		0.58      				

	15,20       		-0.2583  (0.01)				   		6.698			(0.09)	   			2.994		(0.20)	   			-0.081			   			0.040 			   			0.18      				   			5.16    			   		0.52      				

	20,20       		-0.2941  (0.03)				   		7.105			(0.14)	   			3.265		(0.38)	   			-0.085			   			0.035 			   			0.2       				   			6.08    			   		0.51      				

	25,20       		-0.3525  (0.01)				   		6.743			(0.06)	   			2.994		(0.14)	   			-0.111			   			0.033 			   			0.23      				   			6.61    			   		0.56      				

	30,20       		-0.4116  (0.02)				   		7.142			(0.06)	   			3.144		(0.14)	   			-0.123			   			0.029 			   			0.29      				   			8.67    			   		0.51      				

	35,20       		-0.3966  (0.02)				   		7.617			(0.10)	   			3.869		(0.28)	   			-0.096			   			0.028 			   			0.16      				   			5.73    			   		0.69      				

	-25,25       		-0.119   (0.02)				   		6.228			(0.14)	   			2.038		(0.34)	   			-0.055			   			0.007 			   			0.27      				   			5.21    			   		0.24      				

	-20,25       		-0.1881  (0.02)				   		6.228			(0.10)	   			2.128		(0.20)	   			-0.083			   			0.012 			   			0.31      				   			6.26    			   		0.32      				

	-15,25       		-0.4305  (0.02)				   		6.056			(0.05)	   			3.147		(0.13)	   			-0.129			   			0.017 			   			0.26      				   			7.81    			   		0.57      				

	-10,25       		-0.4385  (0.02)				   		5.88 			(0.05)	   			2.623		(0.13)	   			-0.157			   			0.022 			   			0.27      				   			6.73    			   		0.68      				

	-5,25       		-0.346   (0.02)				   		6.456			(0.09)	   			2.854		(0.19)	   			-0.114			   			0.023 			   			0.19      				   			5.17    			   		0.67      				

	0,25       		-0.2902  (0.02)				   		6.753			(0.11)	   			3.032		(0.25)	   			-0.090			   			0.028 			   			0.18      				   			5.04    			   		0.58      				

	5,25       		-0.1657  (0.02)				   		6.667			(0.15)	   			2.502		(0.28)	   			-0.062			   			0.031 			   			0.2       				   			4.67    			   		0.38      				

	10,25       		-0.1609  (0.02)				   		6.448			(0.12)	   			2.629		(0.29)	   			-0.058			   			0.033 			   			0.16      				   			3.91    			   		0.43      				

	15,25       		-0.1681  (0.02)				   		6.763			(0.14)	   			2.926		(0.31)	   			-0.054			   			0.034 			   			0.14      				   			3.80    			   		0.45      				

	25,25       		-0.283   (0.02)				   		6.627			(0.12)	   			3.526		(0.30)	   			-0.075			   			0.031 			   			0.15      				   			5.12    			   		0.56      				

	30,25       		-0.3594  (0.03)				   		7.174			(0.14)	   			3.741		(0.35)	   			-0.090			   			0.029 			   			0.19      				   			6.67    			   		0.55      				

	-30,30       		-6.26E-02(0.01)				   		5.851			(0.12)	   			1.312		(0.26)	   			-0.045			   			 -     			   			0.29      				   			3.53    			   		0.18      				

	-25,30       		-0.1724  (0.03)				   		6.01 			(0.24)	   			3.71 		(0.80)	   			-0.044			   			0.004 			   			0.13      				   			4.58    			   		0.36      				

	-20,30       		-0.1762  (0.02)				   		6.304			(0.08)	   			1.821		(0.18)	   			-0.091			   			0.010 			   			0.31      				   			5.39    			   		0.35      				

	-15,30       		-0.3506  (0.02)				   		6.004			(0.07)	   			2.822		(0.16)	   			-0.117			   			0.015 			   			0.22      				   			5.86    			   		0.61      				

	-10,30       		-0.3671  (0.02)				   		5.999			(0.07)	   			2.835		(0.15)	   			-0.122			   			0.016 			   			0.22      				   			5.90    			   		0.63      				

	-5,30       		-0.2804  (0.02)				   		6.453			(0.10)	   			2.913		(0.18)	   			-0.090			   			0.017 			   			0.2       				   			5.54    			   		0.51      				

	0,30       		-0.2279  (0.02)				   		6.54 			(0.14)	   			3.179		(0.28)	   			-0.067			   			0.020 			   			0.18      				   			5.48    			   		0.42      				

	5,30       		-0.1997  (0.02)				   		6.763			(0.16)	   			2.979		(0.32)	   			-0.063			   			0.024 			   			0.21      				   			5.91    			   		0.35      				

	15,30       		-0.1365  (0.02)				   		6.272			(0.19)	   			3.002		(0.41)	   			-0.043			   			0.027 			   			0.12      				   			3.43    			   		0.4       				

	20,30       		-0.1653  (0.02)				   		6.296			(0.21)	   			3.424		(0.45)	   			-0.045			   			0.033 			   			0.1       				   			3.27    			   		0.5       				

	25,30       		-0.2251  (0.02)				   		7.235			(0.14)	   			2.851		(0.32)	   			-0.074			   			0.036 			   			0.15      				   			3.96    			   		0.58      				

	30,30       		-0.2934  (0.03)				   		7.528			(0.20)	   			4.416		(0.42)	   			-0.062			   			0.032 			   			0.15      				   			6.15    			   		0.49      				

	35,30       		-0.3368  (0.03)				   		8.223			(0.21)	   			4.904		(0.69)	   			-0.065			   			0.018 			   			0.14      				   			6.47    			   		0.51      				

	40,30       		-0.3056  (0.02)				   		8.698			(0.12)	   			3.06 		(0.30)	   			-0.094			   			0.011 			   			0.25      				   			7.23    			   		0.43      				

	-20,35       		-0.122   (0.01)				   		5.89 			(0.11)	   			2.093		(0.23)	   			-0.055			   			0.006 			   			0.24      				   			4.66    			   		0.27      				

	-15,35       		-0.3171  (0.02)				   		6.122			(0.09)	   			2.985		(0.25)	   			-0.100			   			0.009 			   			0.2       				   			5.66    			   		0.56      				

	-10,35       		-0.3227  (0.01)				   		5.761			(0.06)	   			2.538		(0.13)	   			-0.119			   			0.011 			   			0.25      				   			5.88    			   		0.56      				

	-5,35       		-0.2316  (0.02)				   		6.217			(0.13)	   			3.267		(0.25)	   			-0.067			   			0.013 			   			0.16      				   			5.02    			   		0.45      				

	5,35       		-0.2155  (0.02)				   		6.965			(0.14)	   			3.321		(0.33)	   			-0.061			   			0.016 			   			0.16      				   			5.06    			   		0.42      				

	15,35       		-0.1827  (0.02)				   		6.697			(0.17)	   			3.237		(0.42)	   			-0.053			   			0.017 			   			0.12      				   			3.65    			   		0.49      				

	20,35       		-0.3746  (0.05)				   		6.711			(0.53)	   			9.407		(1.95)	   			-0.037			   			 -     			   			0.04      				   			3.10    			   		1.08      				

	25,35       		-0.2111  (0.02)				   		7.523			(0.18)	   			3.495		(0.43)	   			-0.057			   			0.022 			   			0.12      				   			4.03    			   		0.51      				

	30,35       		-0.2988  (0.02)				   		7.231			(0.15)	   			3.975		(0.32)	   			-0.071			   			0.019 			   			0.15      				   			5.56    			   		0.53      				

	35,35       		-0.4561  (0.02)				   		7.969			(0.09)	   			3.785		(0.25)	   			-0.113			   			0.011 			   			0.19      				   			6.74    			   		0.67      				

	40,35       		-0.4512  (0.03)				   		8.458			(0.11)	   			3.865		(0.29)	   			-0.110			   			0.010 			   			0.23      				   			8.49    			   		0.54      				

	-15,40       		-0.1673  (0.02)				   		6.02 			(0.12)	   			2.456		(0.30)	   			-0.064			   			0.004 			   			0.16      				   			3.79    			   		0.43      				

	-10,40       		-0.241   (0.01)				   		5.977			(0.08)	   			2.744		(0.18)	   			-0.083			   			0.007 			   			0.22      				   			5.59    			   		0.43      				

	5,40       		-0.1615  (0.02)				   		6.872			(0.19)	   			3.201		(0.45)	   			-0.047			   			0.012 			   			0.15      				   			4.46    			   		0.36      				

	10,40       		-0.1639  (0.02)				   		7.148			(0.15)	   			2.775		(0.31)	   			-0.056			   			0.011 			   			0.16      				   			4.14    			   		0.39      				

	15,40       		-0.2213  (0.01)				   		7.189			(0.11)	   			3.474		(0.26)	   			-0.060			   			0.012 			   			0.11      				   			3.73    			   		0.57      				

	20,40       		-0.3022  (0.02)				   		6.847			(0.16)	   			4.046		(0.40)	   			-0.070			   			0.014 			   			0.09      				   			3.45    			   		0.82      				

	25,40       		-0.2829  (0.02)				   		7.331			(0.12)	   			3.435		(0.29)	   			-0.077			   			0.013 			   			0.13      				   			4.10    			   		0.66      				

	30,40       		-0.3546  (0.02)				   		7.693			(0.07)	   			3.17 		(0.17)	   			-0.105			   			0.011 			   			0.19      				   			5.71    			   		0.61      				

	35,40       		-0.4666  (0.03)				   		8.02 			(0.09)	   			3.417		(0.26)	   			-0.128			   			0.011 			   			0.22      				   			7.06    			   		0.66      				

	40,40       		-0.3529  (0.02)				   		7.929			(0.09)	   			3.038		(0.25)	   			-0.109			   			0.012 			   			0.2       				   			5.76    			   		0.61      				

	The central position is 18:30:03 -2:02:40 (EQ J2000).









