BACKGROUND OF THE INVENTION 
     The present invention relates to airfoils for a gas turbine and particularly relates to an airfoil profile for a first stage stator nozzle of a gas turbine. 
     In a gas turbine, many system requirements should be met at each stage of a gas turbine&#39;s flow path section to meet design goals. These design goals include, but are not limited to, overall improved efficiency and airfoil loading capability. For example, and in no way limiting of the invention, a nozzle of a turbine should achieve thermal and mechanical operating requirements for that particular stage. 
     Airfoil points have been patented as demonstrated by Barry et al. in U.S. Pat. No. 5,980,209. Barry et al. identified from 100-150 points per section with each section at a spacing of 0.52″. The number of points defined may be dependent upon the rate of change of curvature of the section. In other words, for areas with higher curvature more points may be used to define that region. 
     BRIEF DESCRIPTION OF THE INVENTION 
     In accordance with one exemplary aspect of the present invention, there is provided an article of manufacture having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in TABLE I. X and Y are distances in inches which, when connected by smooth continuing arcs, define airfoil profile sections at each distance Z in inches. The profile sections at the Z distances may be joined smoothly with one another to form a complete airfoil shape. 
     In accordance with another exemplary aspect of the present invention, a turbine comprises a turbine stage. The turbine stage includes a plurality of articles of manufacture. Each of the articles of manufacture includes an airfoil having an airfoil shape. The airfoil comprises a nominal airfoil profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in Table I. X and Y are distances in inches which, when connected by smooth continuing arcs, define airfoil profile sections at each distance Z in inches. The profiles at the Z distances are joined smoothly with one another to form a complete airfoil shape. 
     In accordance with a third aspect of the present invention, a turbine including a turbine stage having a plurality of articles of manufacture is provided. Each of the articles of manufacture may include an airfoil having a nominal airfoil profile substantially in accordance with Cartesian coordinate values of X, Y, and Z set forth in TABLE I. X and Y are distances in inches which, when connected by smooth continuing arcs, define airfoil profile sections at each distance Z in inches, the profile sections at the Z distances being joined smoothly with one another to form a complete airfoil shape. The X, Y and Z distances may be scalable as a function of the same constant or number to provide a scaled-up or scaled-down nozzle airfoil. 
    
    
     
       BRIEF DESCRIPTION OF THE DRAWINGS 
         FIG. 1  schematically illustrates a turbine having a first stage turbine nozzle arrangement employing the nozzles and nozzle airfoils; 
         FIG. 2  illustrates a coordinate system for the article of manufacture employed as an embodiment of the inventive airfoil for a stage in a gas turbine. 
         FIG. 3  illustrates a forward view including the trailing edge of an embodiment of the inventive airfoil; 
         FIG. 4  illustrates an aft view of an embodiment of the present invention; 
         FIG. 5  illustrates a typical section through an embodiment of the inventive airfoil including exemplary section points at section Z 1 . 
         FIG. 6  illustrates factors affecting variation of the nominal profile for an embodiment of the inventive airfoil. 
     
    
    
     DETAILED DESCRIPTION OF THE INVENTION 
     The embodiments of the present invention have many advantages, including defining airfoils for nozzles satisfying the restrictive thermal and mechanical operating requirements for that particular stage that a nozzle of a turbine should achieve. 
     According to one aspect of the present invention, a unique profile for an article of manufacture is provided. The article of manufacture may find application as an airfoil for the nozzles of a turbine stage, preferably the first stage nozzle of a gas turbine. The airfoil shape for the exemplary first stage nozzle of a gas turbine is established to optimize design factors including: 1) turbine work split; 2) airflow through the gas turbine; 3) aerodynamic efficiency; 4) mechanical life requirements and 5) impingement tube insertability. The airfoil shape can be defined by a loci of points in space that meet stage design requirements and can also be manufactured. These points are unique and specific to the system and are not obvious to those skilled in the art. 
     A gas turbine includes a plurality of turbine stages employing nozzles and nozzle airfoils. The turbine includes multiple stages. Each stage includes a nozzle arrangement in conjunction with a respective bucket associated with a stage of a rotor wheel. Each of the rotor wheels is connected to a shaft of the turbine, which in turn may be coupled with an electrical generator and a compressor. It will be appreciated, however, that turbines come in many different configurations of and numbers of stages, nozzle arrangements, and buckets. 
       FIG. 1  schematically illustrates an axial turbine flow path  12  of a gas turbine  10  that includes a plurality of turbine stages employing nozzles and buckets. The direction of hot gas through the turbine flow path  12 , as embodied by the invention, is indicated by arrow. For example, the gas turbine  10  may include a first stage with nozzle  20  and bucket  16 , a second stage with nozzle  26  and bucket  22  and third stage with nozzle  32  and bucket  28 . Each bucket is supported by a respective stage of the turbine wheel (not shown). 
     The first stage nozzle  20  includes an airfoil  25  and sidewalls  38 ,  40 . The nozzle  20  includes an outer sidewall  40  and an inner sidewall wall  38 . The sidewalls provide suitable mounting and support with surrounding turbine hardware. 
     The airfoil  25  has a profile including a 3-dimensional shape with suction and pressure sides, respectively, as well as a leading edge and trailing edge. 
     It will be appreciated that a plurality of the nozzles are spaced circumferentially, one from the other, about the first stage nozzle arrangement. 
     An important aspect of the present invention is the cold airfoil shape, which was optimized for performance and includes a three-dimensional (3D) trailing edge profile. The list of X, Y, and Z coordinates for the airfoil, which are included as TABLE I, meets gas turbine requirements for stage efficiency, nozzle throat area, turbine work split, impingement tube insertability and mechanical life. The points are arrived at by iteration between aerodynamic and mechanical design optimization. These are the only loci of points that allow the gas turbine to run in an efficient, safe and smooth manner. 
     The airfoil shape may be represented as a set of 1342 points from 11 sections of 122 points each. The X, Y &amp; Z coordinates, which represent the airfoil shape, are created in a coordinate system which is defined relative to the cold engine centerline axis of the gas turbine (Y coordinate axis). The origin of the coordinate system on the cold engine centerline axis is defined as X=0.0, Y=0.0 and Z=0.0. The Z coordinate axis is defined as a radial line from the Y coordinate axis. The X coordinate axis is defined as being normal to the Y-Z plane. Airfoil sections are cut normal to the radial line (Z coordinate axis). The X &amp; Y points, which make up the airfoil shape at each section, are in inches. The radial Z values in inches for the section planes extend from Z=46.628 farthest from the cold engine centerline axis to Z=40.628 inches, closest to the cold engine centerline axis. 
     The radial distance between each of the adjacent sections is 0.6 inches apart, such that the total radial distance from Z 0  to Z 10  is 6 inches. The bottom and top sections Z 0  and Z 10 , respectively, may be obscured by fillets in the actual part casting where the airfoil meets the sidewalls. The remaining 9 sections are taken in a region of the airfoil where no fillets exist. 
     All of the 1342 points are taken from a nominal cold or room temperature for each cross-section of the nozzle. Each section is joined smoothly with the other sections to form the complete airfoil shape. 
     It will be appreciated that as each nozzle airfoil heats up in use, the profile will change as a result of stress and temperature. Thus, the cold or room temperature profile is given by the X, Y and Z coordinates for manufacturing purposes. Since the manufactured nozzle airfoil profile may be different from the nominal airfoil profile given by the following table, a distance of plus 0.130 inch to minus 0.030 inch from the nominal profile in a direction normal to any airfoil surface location defines the profile envelope for this nozzle airfoil. The design is robust to this variation without impairment of the mechanical and aerodynamic functions. 
     It will also be appreciated that the airfoil can be scaled up or scaled down geometrically for introduction into similar turbine designs, with smaller or larger frame size. Consequently, the X, Y, and Z coordinates in inches of the nominal airfoil profile given below are a function of the same constant or number. That is, the X, Y and the Z coordinate values in inches may be multiplied or divided by the same constant or number to provide a scaled up or scaled down version of the nozzle airfoil profile while retaining the airfoil section shape and unique properties. 
     Referring now to  FIGS. 2 ,  3 , and  4 , there is illustrated an airfoil for a first stage turbine nozzle constructed in accordance with one aspect of the present invention including an airfoil mounted between an inner and an outer sidewall. Fillets are not included in point definition. 
       FIG. 2  illustrates a coordinate system for the article of manufacture employed as an embodiment of the inventive airfoil for a stage in a gas turbine. The coordinate system  200  is defined relative to the cold engine centerline axis  205  of the gas turbine. The coordinate system includes X, Y and Z coordinates X C    215 , Y C    220  and Z C    225 . The origin of the XYZ coordinate system (X=0, Y=0, Z=0) is centered on the cold engine centerline axis  205 . Y C    220  is coincident with the cold engine centerline axis  205 . Z C    225  is directed along a radial line normal to the cold engine centerline axis  205 . The positive radial direction of Z C    225  is defined as toward the airfoil  230 . X C    215  is defined as being normal to the plane formed by Y C    220  and Z C    225 . The positive direction of X C    215  and Y C    220  are identified by the label placement. 
     The nozzle includes an airfoil with a trailing edge, a leading edge, an outer sidewall and an inner sidewall.  FIG. 3  illustrates a forward view including the trailing edge of an embodiment of the inventive airfoil. The nozzle  300  may include the airfoil  310 , an outer sidewall  320  and an inner sidewall  330  and a leading edge  340 . The trailing edge  350  of the airfoil  310  is optimized, according to the coordinate points provided in TABLE I, to provide improved aerodynamic stage efficiency. Sections Z 0  to Z 10  are designated  470 ,  460 ,  450 ,  440 ,  430 ,  420 ,  410 ,  400 ,  390 ,  380 , and  370 , respectively. 
     Referring again to  FIG. 2 , airfoil sections  250  are cut normal to Z C    225  (radial line passing from the cold engine centerline axis  205 ). The X and Y points, which make up the airfoil shape at each section, are in inches. The radial Z values for the section planes extend from Z 0  ( 470 )=40.628 closest to the cold engine centerline axis to Z 10  ( 370 )=46.628 inch, farthest from the cold engine centerline axis. The engine centerline is located at Z=0 inch. The points defining the nozzle sections are specified in TABLE I. 
       FIG. 4  illustrates an aft view of an embodiment of the inventive airfoil, including the outer sidewall  320 , the inner sidewall  330 , the leading edge  340 , and the trailing edge  350  for the airfoil  310  are identified. 
       FIG. 5  illustrates a typical section through an embodiment of the inventive airfoil including exemplary section points at Z 1 =41.228. A typical section  500  through the airfoil may include a pressure side  510 , a suction side  520 , a leading edge  540 , and a trailing edge  550 .  FIG. 5  illustrates the typical distribution of coordinate points  560  taken from TABLE I for a section. The coordinate points  560  are defined such that the trailing edge  550  includes a greater concentration of points representing the greater curvature for this surface, thereby capturing the true intent and criticality of the airfoil shape for operation. 
       FIG. 6  illustrates factors affecting variation of the nominal profile for an embodiment of the inventive airfoil. A profile is the range of the variation between measured points on an airfoil surface and their ideal position. The TABLE I values are generated and shown for determining the profile of the airfoil. There are typical manufacturing tolerances, as well as coatings, which must be accounted for in the actual profile of the airfoil. Accordingly, the values for the profile given in TABLE I are for a nominal airfoil. It will therefore be appreciated that ±typical manufacturing tolerances, i.e. ±values, are additive to the X and Y values given in TABLE I below. Two components characterize the changes, namely, the mean and the standard deviation for each process. In consideration of process capability data a tolerance  610  of 0.160 inches overlapping the nominal profile  630  is appropriate for this design. This means that there is a +0.130 inch tolerance  615  and a −0.030 inch tolerance  620  around the nominal profile  630 . The design is robust to this variation meaning that mechanical and aerodynamic function is not impaired. Accordingly, a distance of +0.130 inch/−0.030 inch in a direction normal to any surface location along the airfoil profile defines an airfoil profile envelope for this particular nozzle airfoil design and turbine. 
     
       
         
               
             
               
               
               
             
               
               
               
             
           
               
                 TABLE I 
               
             
             
               
                   
               
               
                 The coordinate values given below provide the preferred 
               
               
                 nominal profile envelope information regarding the XYZ 
               
               
                 coordinates that are optimized for the 1st stage nozzle. 
               
             
          
           
               
                 X 
                 Y 
                 Z 
               
               
                   
               
             
          
           
               
                 1.252 
                 −0.100 
                 40.628 
               
               
                 1.300 
                 0.081 
                 40.628 
               
               
                 1.357 
                 −0.158 
                 40.628 
               
               
                 1.407 
                 0.040 
                 40.628 
               
               
                 1.567 
                 −0.277 
                 40.628 
               
               
                 1.462 
                 −0.217 
                 40.628 
               
               
                 1.131 
                 0.118 
                 40.628 
               
               
                 1.513 
                 0.000 
                 40.628 
               
               
                 1.097 
                 0.067 
                 40.628 
               
               
                 1.193 
                 0.121 
                 40.628 
               
               
                 1.146 
                 −0.041 
                 40.628 
               
               
                 1.104 
                 0.005 
                 40.628 
               
               
                 1.620 
                 −0.041 
                 40.628 
               
               
                 2.047 
                 −0.205 
                 40.628 
               
               
                 3.003 
                 −0.583 
                 40.628 
               
               
                 2.781 
                 −1.061 
                 40.628 
               
               
                 2.472 
                 −0.372 
                 40.628 
               
               
                 2.684 
                 −0.989 
                 40.628 
               
               
                 1.940 
                 −0.164 
                 40.628 
               
               
                 2.897 
                 −0.541 
                 40.628 
               
               
                 2.366 
                 −0.330 
                 40.628 
               
               
                 2.487 
                 −0.850 
                 40.628 
               
               
                 1.834 
                 −0.123 
                 40.628 
               
               
                 2.388 
                 −0.782 
                 40.628 
               
               
                 2.791 
                 −0.498 
                 40.628 
               
               
                 2.287 
                 −0.715 
                 40.628 
               
               
                 2.260 
                 −0.288 
                 40.628 
               
               
                 1.775 
                 −0.398 
                 40.628 
               
               
                 3.247 
                 −1.442 
                 40.628 
               
               
                 3.156 
                 −1.363 
                 40.628 
               
               
                 1.727 
                 −0.082 
                 40.628 
               
               
                 1.671 
                 −0.337 
                 40.628 
               
               
                 3.064 
                 −1.285 
                 40.628 
               
               
                 2.186 
                 −0.650 
                 40.628 
               
               
                 2.685 
                 −0.456 
                 40.628 
               
               
                 2.971 
                 −1.209 
                 40.628 
               
               
                 3.215 
                 −0.669 
                 40.628 
               
               
                 2.877 
                 −1.134 
                 40.628 
               
               
                 2.084 
                 −0.585 
                 40.628 
               
               
                 2.153 
                 −0.246 
                 40.628 
               
               
                 3.109 
                 −0.626 
                 40.628 
               
               
                 2.586 
                 −0.919 
                 40.628 
               
               
                 1.982 
                 −0.522 
                 40.628 
               
               
                 2.578 
                 −0.414 
                 40.628 
               
               
                 1.879 
                 −0.459 
                 40.628 
               
               
                 3.532 
                 −0.799 
                 40.628 
               
               
                 4.321 
                 −2.736 
                 40.628 
               
               
                 3.981 
                 −2.238 
                 40.628 
               
               
                 4.190 
                 −2.533 
                 40.628 
               
               
                 3.848 
                 −0.931 
                 40.628 
               
               
                 4.476 
                 −1.206 
                 40.628 
               
               
                 4.814 
                 −3.564 
                 40.628 
               
               
                 3.832 
                 −2.049 
                 40.628 
               
               
                 4.507 
                 −3.046 
                 40.628 
               
               
                 3.674 
                 −1.867 
                 40.628 
               
               
                 4.580 
                 −1.254 
                 40.628 
               
               
                 3.593 
                 −1.778 
                 40.628 
               
               
                 4.372 
                 −1.159 
                 40.628 
               
               
                 3.908 
                 −2.143 
                 40.628 
               
               
                 4.384 
                 −2.839 
                 40.628 
               
               
                 3.754 
                 −1.957 
                 40.628 
               
               
                 3.953 
                 −0.976 
                 40.628 
               
               
                 4.446 
                 −2.942 
                 40.628 
               
               
                 3.336 
                 −1.524 
                 40.628 
               
               
                 4.256 
                 −2.634 
                 40.628 
               
               
                 4.268 
                 −1.112 
                 40.628 
               
               
                 4.123 
                 −2.433 
                 40.628 
               
               
                 4.785 
                 −1.353 
                 40.628 
               
               
                 3.743 
                 −0.887 
                 40.628 
               
               
                 4.683 
                 −1.303 
                 40.628 
               
               
                 4.751 
                 −3.461 
                 40.628 
               
               
                 3.321 
                 −0.712 
                 40.628 
               
               
                 4.163 
                 −1.066 
                 40.628 
               
               
                 4.629 
                 −3.254 
                 40.628 
               
               
                 4.690 
                 −3.358 
                 40.628 
               
               
                 3.637 
                 −0.842 
                 40.628 
               
               
                 4.053 
                 −2.335 
                 40.628 
               
               
                 4.058 
                 −1.021 
                 40.628 
               
               
                 4.568 
                 −3.150 
                 40.628 
               
               
                 3.509 
                 −1.692 
                 40.628 
               
               
                 3.423 
                 −1.607 
                 40.628 
               
               
                 3.426 
                 −0.755 
                 40.628 
               
               
                 4.989 
                 −1.457 
                 40.628 
               
               
                 5.707 
                 −4.006 
                 40.628 
               
               
                 6.128 
                 −3.469 
                 40.628 
               
               
                 5.838 
                 −2.032 
                 40.628 
               
               
                 5.790 
                 −3.927 
                 40.628 
               
               
                 6.283 
                 −2.925 
                 40.628 
               
               
                 5.866 
                 −3.842 
                 40.628 
               
               
                 4.887 
                 −1.405 
                 40.628 
               
               
                 6.183 
                 −2.483 
                 40.628 
               
               
                 4.878 
                 −3.666 
                 40.628 
               
               
                 6.278 
                 −2.811 
                 40.628 
               
               
                 5.288 
                 −1.625 
                 40.628 
               
               
                 5.171 
                 −4.046 
                 40.628 
               
               
                 6.065 
                 −2.287 
                 40.628 
               
               
                 5.083 
                 −3.964 
                 40.628 
               
               
                 5.995 
                 −2.197 
                 40.628 
               
               
                 6.129 
                 −2.383 
                 40.628 
               
               
                 5.664 
                 −1.883 
                 40.628 
               
               
                 5.013 
                 −3.866 
                 40.628 
               
               
                 5.919 
                 −2.112 
                 40.628 
               
               
                 6.259 
                 −2.698 
                 40.628 
               
               
                 5.189 
                 −1.567 
                 40.628 
               
               
                 6.179 
                 −3.366 
                 40.628 
               
               
                 4.945 
                 −3.767 
                 40.628 
               
               
                 6.007 
                 −3.662 
                 40.628 
               
               
                 5.391 
                 −4.119 
                 40.628 
               
               
                 6.254 
                 −3.151 
                 40.628 
               
               
                 5.753 
                 −1.956 
                 40.628 
               
               
                 6.275 
                 −3.039 
                 40.628 
               
               
                 5.938 
                 −3.754 
                 40.628 
               
               
                 5.504 
                 −4.107 
                 40.628 
               
               
                 6.227 
                 −2.588 
                 40.628 
               
               
                 5.090 
                 −1.511 
                 40.628 
               
               
                 6.221 
                 −3.260 
                 40.628 
               
               
                 5.385 
                 −1.685 
                 40.628 
               
               
                 5.573 
                 −1.814 
                 40.628 
               
               
                 6.070 
                 −3.567 
                 40.628 
               
               
                 5.279 
                 −4.100 
                 40.628 
               
               
                 5.611 
                 −4.067 
                 40.628 
               
               
                 5.480 
                 −1.748 
                 40.628 
               
               
                 1.540 
                 −0.382 
                 41.228 
               
               
                 1.049 
                 −0.437 
                 41.228 
               
               
                 0.710 
                 −0.282 
                 41.228 
               
               
                 0.970 
                 −0.215 
                 41.228 
               
               
                 0.673 
                 −0.247 
                 41.228 
               
               
                 1.426 
                 −0.348 
                 41.228 
               
               
                 1.603 
                 −0.717 
                 41.228 
               
               
                 1.383 
                 −0.602 
                 41.228 
               
               
                 1.272 
                 −0.546 
                 41.228 
               
               
                 0.856 
                 −0.183 
                 41.228 
               
               
                 0.692 
                 −0.156 
                 41.228 
               
               
                 0.665 
                 −0.197 
                 41.228 
               
               
                 1.312 
                 −0.315 
                 41.228 
               
               
                 1.084 
                 −0.248 
                 41.228 
               
               
                 0.742 
                 −0.150 
                 41.228 
               
               
                 0.936 
                 −0.384 
                 41.228 
               
               
                 1.198 
                 −0.282 
                 41.228 
               
               
                 0.823 
                 −0.333 
                 41.228 
               
               
                 1.493 
                 −0.659 
                 41.228 
               
               
                 1.160 
                 −0.491 
                 41.228 
               
               
                 3.239 
                 −0.911 
                 41.228 
               
               
                 2.874 
                 −1.492 
                 41.228 
               
               
                 2.108 
                 −0.554 
                 41.228 
               
               
                 2.772 
                 −1.422 
                 41.228 
               
               
                 2.669 
                 −1.352 
                 41.228 
               
               
                 2.565 
                 −1.284 
                 41.228 
               
               
                 2.448 
                 −0.659 
                 41.228 
               
               
                 2.461 
                 −1.216 
                 41.228 
               
               
                 3.075 
                 −1.638 
                 41.228 
               
               
                 1.994 
                 −0.519 
                 41.228 
               
               
                 2.561 
                 −0.694 
                 41.228 
               
               
                 2.356 
                 −1.150 
                 41.228 
               
               
                 2.221 
                 −0.588 
                 41.228 
               
               
                 3.013 
                 −0.838 
                 41.228 
               
               
                 2.250 
                 −1.086 
                 41.228 
               
               
                 2.975 
                 −1.564 
                 41.228 
               
               
                 2.144 
                 −1.022 
                 41.228 
               
               
                 2.036 
                 −0.959 
                 41.228 
               
               
                 2.900 
                 −0.802 
                 41.228 
               
               
                 2.674 
                 −0.730 
                 41.228 
               
               
                 1.929 
                 −0.897 
                 41.228 
               
               
                 2.334 
                 −0.623 
                 41.228 
               
               
                 2.787 
                 −0.765 
                 41.228 
               
               
                 1.821 
                 −0.836 
                 41.228 
               
               
                 1.767 
                 −0.450 
                 41.228 
               
               
                 1.881 
                 −0.484 
                 41.228 
               
               
                 3.174 
                 −1.713 
                 41.228 
               
               
                 1.712 
                 −0.776 
                 41.228 
               
               
                 3.126 
                 −0.874 
                 41.228 
               
               
                 1.653 
                 −0.416 
                 41.228 
               
               
                 4.137 
                 −1.218 
                 41.228 
               
               
                 4.249 
                 −1.258 
                 41.228 
               
               
                 3.834 
                 −2.278 
                 41.228 
               
               
                 3.914 
                 −1.138 
                 41.228 
               
               
                 4.762 
                 −3.438 
                 41.228 
               
               
                 4.471 
                 −1.342 
                 41.228 
               
               
                 3.559 
                 −2.026 
                 41.228 
               
               
                 4.627 
                 −3.230 
                 41.228 
               
               
                 3.744 
                 −2.192 
                 41.228 
               
               
                 4.557 
                 −3.127 
                 41.228 
               
               
                 3.652 
                 −2.108 
                 41.228 
               
               
                 4.695 
                 −3.334 
                 41.228 
               
               
                 3.689 
                 −1.061 
                 41.228 
               
               
                 4.026 
                 −1.178 
                 41.228 
               
               
                 3.577 
                 −1.023 
                 41.228 
               
               
                 3.465 
                 −1.945 
                 41.228 
               
               
                 4.411 
                 −2.926 
                 41.228 
               
               
                 3.464 
                 −0.985 
                 41.228 
               
               
                 4.800 
                 −1.477 
                 41.228 
               
               
                 4.335 
                 −2.828 
                 41.228 
               
               
                 4.828 
                 −3.543 
                 41.228 
               
               
                 4.691 
                 −1.431 
                 41.228 
               
               
                 4.257 
                 −2.732 
                 41.228 
               
               
                 3.272 
                 −1.789 
                 41.228 
               
               
                 4.360 
                 −1.300 
                 41.228 
               
               
                 3.352 
                 −0.948 
                 41.228 
               
               
                 4.093 
                 −2.545 
                 41.228 
               
               
                 4.581 
                 −1.386 
                 41.228 
               
               
                 3.922 
                 −2.365 
                 41.228 
               
               
                 3.369 
                 −1.866 
                 41.228 
               
               
                 3.802 
                 −1.099 
                 41.228 
               
               
                 4.176 
                 −2.638 
                 41.228 
               
               
                 4.009 
                 −2.454 
                 41.228 
               
               
                 4.485 
                 −3.026 
                 41.228 
               
               
                 5.299 
                 −4.100 
                 41.228 
               
               
                 5.099 
                 −3.959 
                 41.228 
               
               
                 5.438 
                 −1.793 
                 41.228 
               
               
                 5.416 
                 −4.119 
                 41.228 
               
               
                 6.220 
                 −3.322 
                 41.228 
               
               
                 6.301 
                 −2.977 
                 41.228 
               
               
                 5.189 
                 −4.045 
                 41.228 
               
               
                 6.299 
                 −2.858 
                 41.228 
               
               
                 5.643 
                 −4.060 
                 41.228 
               
               
                 6.287 
                 −3.095 
                 41.228 
               
               
                 5.335 
                 −1.734 
                 41.228 
               
               
                 6.282 
                 −2.741 
                 41.228 
               
               
                 6.170 
                 −3.429 
                 41.228 
               
               
                 5.741 
                 −3.993 
                 41.228 
               
               
                 5.028 
                 −3.857 
                 41.228 
               
               
                 5.539 
                 −1.855 
                 41.228 
               
               
                 6.250 
                 −2.627 
                 41.228 
               
               
                 5.826 
                 −3.910 
                 41.228 
               
               
                 4.961 
                 −3.753 
                 41.228 
               
               
                 6.259 
                 −3.210 
                 41.228 
               
               
                 5.533 
                 −4.104 
                 41.228 
               
               
                 5.124 
                 −1.624 
                 41.228 
               
               
                 6.203 
                 −2.518 
                 41.228 
               
               
                 5.904 
                 −3.821 
                 41.228 
               
               
                 5.017 
                 −1.573 
                 41.228 
               
               
                 5.978 
                 −3.728 
                 41.228 
               
               
                 4.909 
                 −1.524 
                 41.228 
               
               
                 6.113 
                 −3.533 
                 41.228 
               
               
                 6.075 
                 −2.318 
                 41.228 
               
               
                 6.144 
                 −2.415 
                 41.228 
               
               
                 4.894 
                 −3.648 
                 41.228 
               
               
                 5.998 
                 −2.228 
                 41.228 
               
               
                 6.048 
                 −3.633 
                 41.228 
               
               
                 5.733 
                 −1.991 
                 41.228 
               
               
                 5.637 
                 −1.921 
                 41.228 
               
               
                 5.915 
                 −2.144 
                 41.228 
               
               
                 5.230 
                 −1.678 
                 41.228 
               
               
                 5.826 
                 −2.065 
                 41.228 
               
               
                 0.437 
                 −0.397 
                 41.828 
               
               
                 1.093 
                 −0.454 
                 41.828 
               
               
                 1.620 
                 −0.956 
                 41.828 
               
               
                 1.563 
                 −0.574 
                 41.828 
               
               
                 1.167 
                 −0.731 
                 41.828 
               
               
                 1.052 
                 −0.678 
                 41.828 
               
               
                 1.446 
                 −0.544 
                 41.828 
               
               
                 0.589 
                 −0.476 
                 41.828 
               
               
                 0.472 
                 −0.429 
                 41.828 
               
               
                 0.937 
                 −0.626 
                 41.828 
               
               
                 0.976 
                 −0.424 
                 41.828 
               
               
                 1.328 
                 −0.514 
                 41.828 
               
               
                 1.281 
                 −0.786 
                 41.828 
               
               
                 1.211 
                 −0.484 
                 41.828 
               
               
                 1.507 
                 −0.898 
                 41.828 
               
               
                 0.858 
                 −0.395 
                 41.828 
               
               
                 1.394 
                 −0.842 
                 41.828 
               
               
                 0.741 
                 −0.366 
                 41.828 
               
               
                 0.705 
                 −0.525 
                 41.828 
               
               
                 0.459 
                 −0.314 
                 41.828 
               
               
                 0.505 
                 −0.307 
                 41.828 
               
               
                 0.822 
                 −0.575 
                 41.828 
               
               
                 0.431 
                 −0.351 
                 41.828 
               
               
                 0.623 
                 −0.336 
                 41.828 
               
               
                 2.609 
                 −1.517 
                 41.828 
               
               
                 2.501 
                 −1.451 
                 41.828 
               
               
                 1.797 
                 −0.635 
                 41.828 
               
               
                 3.200 
                 −1.020 
                 41.828 
               
               
                 2.616 
                 −0.856 
                 41.828 
               
               
                 1.680 
                 −0.605 
                 41.828 
               
               
                 2.733 
                 −0.888 
                 41.828 
               
               
                 3.083 
                 −0.987 
                 41.828 
               
               
                 2.850 
                 −0.921 
                 41.828 
               
               
                 2.967 
                 −0.953 
                 41.828 
               
               
                 2.383 
                 −0.792 
                 41.828 
               
               
                 3.032 
                 −1.793 
                 41.828 
               
               
                 1.732 
                 −1.014 
                 41.828 
               
               
                 2.927 
                 −1.723 
                 41.828 
               
               
                 2.500 
                 −0.823 
                 41.828 
               
               
                 2.822 
                 −1.653 
                 41.828 
               
               
                 2.284 
                 −1.322 
                 41.828 
               
               
                 2.393 
                 −1.386 
                 41.828 
               
               
                 2.175 
                 −1.258 
                 41.828 
               
               
                 2.065 
                 −1.196 
                 41.828 
               
               
                 2.716 
                 −1.585 
                 41.828 
               
               
                 2.266 
                 −0.760 
                 41.828 
               
               
                 2.149 
                 −0.728 
                 41.828 
               
               
                 1.954 
                 −1.134 
                 41.828 
               
               
                 3.239 
                 −1.938 
                 41.828 
               
               
                 2.032 
                 −0.697 
                 41.828 
               
               
                 3.136 
                 −1.865 
                 41.828 
               
               
                 1.843 
                 −1.074 
                 41.828 
               
               
                 1.915 
                 −0.666 
                 41.828 
               
               
                 6.080 
                 −3.615 
                 41.828 
               
               
                 4.699 
                 −1.502 
                 41.828 
               
               
                 4.027 
                 −2.572 
                 41.828 
               
               
                 4.296 
                 −2.838 
                 41.828 
               
               
                 4.208 
                 −2.747 
                 41.828 
               
               
                 5.873 
                 −2.121 
                 41.828 
               
               
                 3.741 
                 −2.322 
                 41.828 
               
               
                 3.643 
                 −2.242 
                 41.828 
               
               
                 3.544 
                 −2.164 
                 41.828 
               
               
                 4.912 
                 −3.639 
                 41.828 
               
               
                 4.471 
                 −1.420 
                 41.828 
               
               
                 3.933 
                 −2.487 
                 41.828 
               
               
                 4.843 
                 −3.533 
                 41.828 
               
               
                 4.545 
                 −3.124 
                 41.828 
               
               
                 4.382 
                 −2.931 
                 41.828 
               
               
                 4.812 
                 −1.546 
                 41.828 
               
               
                 6.253 
                 −3.296 
                 41.828 
               
               
                 3.838 
                 −2.404 
                 41.828 
               
               
                 5.964 
                 −2.201 
                 41.828 
               
               
                 5.256 
                 −1.739 
                 41.828 
               
               
                 5.046 
                 −3.852 
                 41.828 
               
               
                 6.204 
                 −3.406 
                 41.828 
               
               
                 6.291 
                 −3.181 
                 41.828 
               
               
                 5.319 
                 −4.101 
                 41.828 
               
               
                 6.009 
                 −3.713 
                 41.828 
               
               
                 5.439 
                 −4.119 
                 41.828 
               
               
                 4.465 
                 −3.027 
                 41.828 
               
               
                 5.933 
                 −3.807 
                 41.828 
               
               
                 5.576 
                 −1.912 
                 41.828 
               
               
                 5.471 
                 −1.851 
                 41.828 
               
               
                 6.324 
                 −2.941 
                 41.828 
               
               
                 5.854 
                 −3.899 
                 41.828 
               
               
                 5.558 
                 −4.102 
                 41.828 
               
               
                 6.146 
                 −3.513 
                 41.828 
               
               
                 5.365 
                 −1.794 
                 41.828 
               
               
                 5.768 
                 −3.984 
                 41.828 
               
               
                 6.316 
                 −2.821 
                 41.828 
               
               
                 4.699 
                 −3.325 
                 41.828 
               
               
                 5.777 
                 −2.047 
                 41.828 
               
               
                 5.670 
                 −4.055 
                 41.828 
               
               
                 3.896 
                 −1.229 
                 41.828 
               
               
                 6.291 
                 −2.702 
                 41.828 
               
               
                 5.207 
                 −4.045 
                 41.828 
               
               
                 4.623 
                 −3.223 
                 41.828 
               
               
                 3.780 
                 −1.193 
                 41.828 
               
               
                 5.147 
                 −1.687 
                 41.828 
               
               
                 6.049 
                 −2.288 
                 41.828 
               
               
                 6.251 
                 −2.588 
                 41.828 
               
               
                 6.316 
                 −3.062 
                 41.828 
               
               
                 3.443 
                 −2.088 
                 41.828 
               
               
                 3.664 
                 −1.158 
                 41.828 
               
               
                 5.036 
                 −1.638 
                 41.828 
               
               
                 4.242 
                 −1.341 
                 41.828 
               
               
                 4.979 
                 −3.745 
                 41.828 
               
               
                 4.772 
                 −3.428 
                 41.828 
               
               
                 6.195 
                 −2.481 
                 41.828 
               
               
                 5.678 
                 −1.977 
                 41.828 
               
               
                 3.342 
                 −2.012 
                 41.828 
               
               
                 3.548 
                 −1.123 
                 41.828 
               
               
                 4.127 
                 −1.303 
                 41.828 
               
               
                 4.924 
                 −1.591 
                 41.828 
               
               
                 4.118 
                 −2.659 
                 41.828 
               
               
                 4.357 
                 −1.380 
                 41.828 
               
               
                 6.127 
                 −2.380 
                 41.828 
               
               
                 3.432 
                 −1.088 
                 41.828 
               
               
                 4.012 
                 −1.265 
                 41.828 
               
               
                 4.585 
                 −1.460 
                 41.828 
               
               
                 3.316 
                 −1.054 
                 41.828 
               
               
                 5.116 
                 −3.958 
                 41.828 
               
               
                 0.702 
                 −0.478 
                 42.428 
               
               
                 0.582 
                 −0.451 
                 42.428 
               
               
                 0.668 
                 −0.654 
                 42.428 
               
               
                 0.297 
                 −0.403 
                 42.428 
               
               
                 0.461 
                 −0.424 
                 42.428 
               
               
                 0.549 
                 −0.605 
                 42.428 
               
               
                 1.303 
                 −0.616 
                 42.428 
               
               
                 0.271 
                 −0.439 
                 42.428 
               
               
                 1.486 
                 −1.026 
                 42.428 
               
               
                 1.371 
                 −0.970 
                 42.428 
               
               
                 0.341 
                 −0.397 
                 42.428 
               
               
                 1.424 
                 −0.644 
                 42.428 
               
               
                 0.276 
                 −0.483 
                 42.428 
               
               
                 1.022 
                 −0.806 
                 42.428 
               
               
                 1.544 
                 −0.672 
                 42.428 
               
               
                 0.904 
                 −0.754 
                 42.428 
               
               
                 0.786 
                 −0.703 
                 42.428 
               
               
                 0.822 
                 −0.505 
                 42.428 
               
               
                 1.183 
                 −0.588 
                 42.428 
               
               
                 1.601 
                 −1.084 
                 42.428 
               
               
                 1.138 
                 −0.860 
                 42.428 
               
               
                 1.063 
                 −0.560 
                 42.428 
               
               
                 0.943 
                 −0.533 
                 42.428 
               
               
                 0.430 
                 −0.558 
                 42.428 
               
               
                 1.255 
                 −0.914 
                 42.428 
               
               
                 0.310 
                 −0.512 
                 42.428 
               
               
                 3.156 
                 −1.983 
                 42.428 
               
               
                 2.024 
                 −0.787 
                 42.428 
               
               
                 2.612 
                 −1.642 
                 42.428 
               
               
                 3.048 
                 −1.913 
                 42.428 
               
               
                 1.904 
                 −0.758 
                 42.428 
               
               
                 2.391 
                 −1.512 
                 42.428 
               
               
                 1.784 
                 −0.729 
                 42.428 
               
               
                 3.220 
                 −1.089 
                 42.428 
               
               
                 2.623 
                 −0.935 
                 42.428 
               
               
                 2.502 
                 −1.576 
                 42.428 
               
               
                 1.664 
                 −0.701 
                 42.428 
               
               
                 2.279 
                 −1.448 
                 42.428 
               
               
                 2.055 
                 −1.323 
                 42.428 
               
               
                 2.722 
                 −1.708 
                 42.428 
               
               
                 1.942 
                 −1.262 
                 42.428 
               
               
                 2.144 
                 −0.816 
                 42.428 
               
               
                 3.101 
                 −1.057 
                 42.428 
               
               
                 1.715 
                 −1.142 
                 42.428 
               
               
                 1.829 
                 −1.202 
                 42.428 
               
               
                 2.742 
                 −0.965 
                 42.428 
               
               
                 2.503 
                 −0.905 
                 42.428 
               
               
                 2.940 
                 −1.844 
                 42.428 
               
               
                 2.167 
                 −1.385 
                 42.428 
               
               
                 2.383 
                 −0.875 
                 42.428 
               
               
                 2.831 
                 −1.775 
                 42.428 
               
               
                 2.862 
                 −0.995 
                 42.428 
               
               
                 2.981 
                 −1.026 
                 42.428 
               
               
                 2.264 
                 −0.846 
                 42.428 
               
               
                 4.641 
                 −1.505 
                 42.428 
               
               
                 4.524 
                 −1.466 
                 42.428 
               
               
                 3.474 
                 −2.200 
                 42.428 
               
               
                 3.578 
                 −1.185 
                 42.428 
               
               
                 3.459 
                 −1.152 
                 42.428 
               
               
                 4.457 
                 −3.023 
                 42.428 
               
               
                 3.340 
                 −1.120 
                 42.428 
               
               
                 4.275 
                 −2.842 
                 42.428 
               
               
                 4.786 
                 −3.417 
                 42.428 
               
               
                 4.367 
                 −2.931 
                 42.428 
               
               
                 3.579 
                 −2.274 
                 42.428 
               
               
                 4.406 
                 −1.428 
                 42.428 
               
               
                 4.289 
                 −1.391 
                 42.428 
               
               
                 4.180 
                 −2.755 
                 42.428 
               
               
                 4.709 
                 −3.314 
                 42.428 
               
               
                 3.369 
                 −2.126 
                 42.428 
               
               
                 4.628 
                 −3.215 
                 42.428 
               
               
                 4.084 
                 −2.670 
                 42.428 
               
               
                 4.171 
                 −1.355 
                 42.428 
               
               
                 4.544 
                 −3.117 
                 42.428 
               
               
                 3.986 
                 −2.588 
                 42.428 
               
               
                 4.757 
                 −1.546 
                 42.428 
               
               
                 4.053 
                 −1.319 
                 42.428 
               
               
                 3.682 
                 −2.350 
                 42.428 
               
               
                 3.263 
                 −2.054 
                 42.428 
               
               
                 3.785 
                 −2.428 
                 42.428 
               
               
                 3.934 
                 −1.285 
                 42.428 
               
               
                 3.886 
                 −2.507 
                 42.428 
               
               
                 3.815 
                 −1.251 
                 42.428 
               
               
                 3.697 
                 −1.218 
                 42.428 
               
               
                 5.103 
                 −1.678 
                 42.428 
               
               
                 5.134 
                 −3.956 
                 42.428 
               
               
                 4.989 
                 −1.632 
                 42.428 
               
               
                 5.953 
                 −2.172 
                 42.428 
               
               
                 5.583 
                 −4.100 
                 42.428 
               
               
                 6.111 
                 −3.599 
                 42.428 
               
               
                 5.225 
                 −4.045 
                 42.428 
               
               
                 5.462 
                 −4.119 
                 42.428 
               
               
                 5.795 
                 −3.977 
                 42.428 
               
               
                 6.177 
                 −3.495 
                 42.428 
               
               
                 5.858 
                 −2.094 
                 42.428 
               
               
                 5.882 
                 −3.889 
                 42.428 
               
               
                 6.200 
                 −2.446 
                 42.428 
               
               
                 4.930 
                 −3.629 
                 42.428 
               
               
                 4.860 
                 −3.522 
                 42.428 
               
               
                 6.261 
                 −2.554 
                 42.428 
               
               
                 5.758 
                 −2.022 
                 42.428 
               
               
                 6.283 
                 −3.272 
                 42.428 
               
               
                 6.307 
                 −2.668 
                 42.428 
               
               
                 5.695 
                 −4.050 
                 42.428 
               
               
                 5.654 
                 −1.955 
                 42.428 
               
               
                 6.320 
                 −3.155 
                 42.428 
               
               
                 5.340 
                 −4.102 
                 42.428 
               
               
                 6.349 
                 −2.910 
                 42.428 
               
               
                 5.547 
                 −1.892 
                 42.428 
               
               
                 6.343 
                 −3.033 
                 42.428 
               
               
                 5.439 
                 −1.834 
                 42.428 
               
               
                 4.873 
                 −1.588 
                 42.428 
               
               
                 6.126 
                 −2.347 
                 42.428 
               
               
                 6.039 
                 −3.699 
                 42.428 
               
               
                 5.328 
                 −1.779 
                 42.428 
               
               
                 6.235 
                 −3.386 
                 42.428 
               
               
                 5.962 
                 −3.796 
                 42.428 
               
               
                 6.043 
                 −2.256 
                 42.428 
               
               
                 6.336 
                 −2.788 
                 42.428 
               
               
                 4.998 
                 −3.738 
                 42.428 
               
               
                 5.216 
                 −1.727 
                 42.428 
               
               
                 5.064 
                 −3.848 
                 42.428 
               
               
                 1.586 
                 −0.708 
                 43.028 
               
               
                 0.572 
                 −0.669 
                 43.028 
               
               
                 0.974 
                 −0.573 
                 43.028 
               
               
                 1.341 
                 −0.653 
                 43.028 
               
               
                 0.451 
                 −0.621 
                 43.028 
               
               
                 1.463 
                 −0.680 
                 43.028 
               
               
                 0.851 
                 −0.546 
                 43.028 
               
               
                 0.329 
                 −0.574 
                 43.028 
               
               
                 0.729 
                 −0.519 
                 43.028 
               
               
                 0.174 
                 −0.500 
                 43.028 
               
               
                 0.606 
                 −0.493 
                 43.028 
               
               
                 0.195 
                 −0.421 
                 43.028 
               
               
                 0.484 
                 −0.466 
                 43.028 
               
               
                 1.522 
                 −1.098 
                 43.028 
               
               
                 1.405 
                 −1.040 
                 43.028 
               
               
                 0.361 
                 −0.440 
                 43.028 
               
               
                 0.932 
                 −0.821 
                 43.028 
               
               
                 0.693 
                 −0.718 
                 43.028 
               
               
                 0.238 
                 −0.414 
                 43.028 
               
               
                 1.170 
                 −0.928 
                 43.028 
               
               
                 0.207 
                 −0.529 
                 43.028 
               
               
                 1.096 
                 −0.599 
                 43.028 
               
               
                 1.051 
                 −0.874 
                 43.028 
               
               
                 0.169 
                 −0.456 
                 43.028 
               
               
                 1.218 
                 −0.626 
                 43.028 
               
               
                 1.288 
                 −0.984 
                 43.028 
               
               
                 0.813 
                 −0.769 
                 43.028 
               
               
                 2.563 
                 −0.931 
                 43.028 
               
               
                 1.708 
                 −0.735 
                 43.028 
               
               
                 2.441 
                 −0.903 
                 43.028 
               
               
                 2.319 
                 −0.874 
                 43.028 
               
               
                 1.986 
                 −1.337 
                 43.028 
               
               
                 2.197 
                 −0.846 
                 43.028 
               
               
                 1.871 
                 −1.276 
                 43.028 
               
               
                 1.639 
                 −1.156 
                 43.028 
               
               
                 3.051 
                 −1.048 
                 43.028 
               
               
                 3.225 
                 −2.059 
                 43.028 
               
               
                 2.075 
                 −0.818 
                 43.028 
               
               
                 1.952 
                 −0.790 
                 43.028 
               
               
                 3.114 
                 −1.990 
                 43.028 
               
               
                 3.004 
                 −1.921 
                 43.028 
               
               
                 1.830 
                 −0.762 
                 43.028 
               
               
                 2.929 
                 −1.018 
                 43.028 
               
               
                 2.892 
                 −1.853 
                 43.028 
               
               
                 2.101 
                 −1.399 
                 43.028 
               
               
                 2.781 
                 −1.786 
                 43.028 
               
               
                 1.755 
                 −1.216 
                 43.028 
               
               
                 2.556 
                 −1.654 
                 43.028 
               
               
                 3.172 
                 −1.078 
                 43.028 
               
               
                 2.443 
                 −1.589 
                 43.028 
               
               
                 2.807 
                 −0.989 
                 43.028 
               
               
                 2.329 
                 −1.525 
                 43.028 
               
               
                 2.685 
                 −0.960 
                 43.028 
               
               
                 2.668 
                 −1.720 
                 43.028 
               
               
                 2.215 
                 −1.461 
                 43.028 
               
               
                 4.727 
                 −3.298 
                 43.028 
               
               
                 4.022 
                 −1.299 
                 43.028 
               
               
                 4.178 
                 −2.743 
                 43.028 
               
               
                 4.466 
                 −3.007 
                 43.028 
               
               
                 3.294 
                 −1.108 
                 43.028 
               
               
                 3.974 
                 −2.580 
                 43.028 
               
               
                 3.901 
                 −1.266 
                 43.028 
               
               
                 4.741 
                 −1.517 
                 43.028 
               
               
                 3.870 
                 −2.501 
                 43.028 
               
               
                 3.780 
                 −1.233 
                 43.028 
               
               
                 3.659 
                 −2.349 
                 43.028 
               
               
                 3.658 
                 −1.201 
                 43.028 
               
               
                 4.622 
                 −1.478 
                 43.028 
               
               
                 4.276 
                 −2.828 
                 43.028 
               
               
                 3.552 
                 −2.274 
                 43.028 
               
               
                 3.334 
                 −2.130 
                 43.028 
               
               
                 3.443 
                 −2.202 
                 43.028 
               
               
                 4.644 
                 −3.198 
                 43.028 
               
               
                 4.373 
                 −2.916 
                 43.028 
               
               
                 4.557 
                 −3.101 
                 43.028 
               
               
                 3.765 
                 −2.424 
                 43.028 
               
               
                 4.503 
                 −1.440 
                 43.028 
               
               
                 4.077 
                 −2.660 
                 43.028 
               
               
                 3.416 
                 −1.139 
                 43.028 
               
               
                 4.383 
                 −1.403 
                 43.028 
               
               
                 3.537 
                 −1.170 
                 43.028 
               
               
                 4.263 
                 −1.368 
                 43.028 
               
               
                 4.806 
                 −3.402 
                 43.028 
               
               
                 4.142 
                 −1.333 
                 43.028 
               
               
                 5.549 
                 −1.857 
                 43.028 
               
               
                 5.438 
                 −1.799 
                 43.028 
               
               
                 6.217 
                 −2.413 
                 43.028 
               
               
                 5.244 
                 −4.045 
                 43.028 
               
               
                 5.151 
                 −3.955 
                 43.028 
               
               
                 5.360 
                 −4.103 
                 43.028 
               
               
                 5.607 
                 −4.098 
                 43.028 
               
               
                 5.210 
                 −1.694 
                 43.028 
               
               
                 5.820 
                 −3.970 
                 43.028 
               
               
                 6.374 
                 −2.883 
                 43.028 
               
               
                 6.360 
                 −2.758 
                 43.028 
               
               
                 5.082 
                 −3.844 
                 43.028 
               
               
                 5.908 
                 −3.880 
                 43.028 
               
               
                 5.990 
                 −3.785 
                 43.028 
               
               
                 6.280 
                 −2.522 
                 43.028 
               
               
                 6.142 
                 −2.313 
                 43.028 
               
               
                 5.094 
                 −1.646 
                 43.028 
               
               
                 6.067 
                 −3.687 
                 43.028 
               
               
                 4.978 
                 −1.601 
                 43.028 
               
               
                 6.057 
                 −2.221 
                 43.028 
               
               
                 6.140 
                 −3.585 
                 43.028 
               
               
                 6.206 
                 −3.478 
                 43.028 
               
               
                 4.860 
                 −1.558 
                 43.028 
               
               
                 5.484 
                 −4.119 
                 43.028 
               
               
                 4.951 
                 −3.618 
                 43.028 
               
               
                 5.866 
                 −2.058 
                 43.028 
               
               
                 6.264 
                 −3.367 
                 43.028 
               
               
                 4.881 
                 −3.509 
                 43.028 
               
               
                 5.764 
                 −1.986 
                 43.028 
               
               
                 6.312 
                 −3.251 
                 43.028 
               
               
                 5.721 
                 −4.046 
                 43.028 
               
               
                 5.018 
                 −3.731 
                 43.028 
               
               
                 5.658 
                 −1.919 
                 43.028 
               
               
                 6.370 
                 −3.008 
                 43.028 
               
               
                 5.964 
                 −2.137 
                 43.028 
               
               
                 6.348 
                 −3.131 
                 43.028 
               
               
                 6.328 
                 −2.637 
                 43.028 
               
               
                 5.325 
                 −1.745 
                 43.028 
               
               
                 0.115 
                 −0.467 
                 43.628 
               
               
                 0.110 
                 −0.424 
                 43.628 
               
               
                 0.518 
                 −0.638 
                 43.628 
               
               
                 6.339 
                 −3.234 
                 43.628 
               
               
                 3.032 
                 −1.010 
                 43.628 
               
               
                 4.506 
                 −1.398 
                 43.628 
               
               
                 3.877 
                 −2.477 
                 43.628 
               
               
                 5.099 
                 −3.841 
                 43.628 
               
               
                 4.192 
                 −2.719 
                 43.628 
               
               
                 2.649 
                 −1.697 
                 43.628 
               
               
                 1.602 
                 −1.131 
                 43.628 
               
               
                 5.888 
                 −2.022 
                 43.628 
               
               
                 0.395 
                 −0.590 
                 43.628 
               
               
                 0.180 
                 −0.381 
                 43.628 
               
               
                 3.402 
                 −1.100 
                 43.628 
               
               
                 3.526 
                 −1.130 
                 43.628 
               
               
                 6.291 
                 −3.351 
                 43.628 
               
               
                 0.304 
                 −0.407 
                 43.628 
               
               
                 4.384 
                 −1.362 
                 43.628 
               
               
                 2.991 
                 −1.899 
                 43.628 
               
               
                 5.038 
                 −3.723 
                 43.628 
               
               
                 3.984 
                 −2.556 
                 43.628 
               
               
                 0.137 
                 −0.388 
                 43.628 
               
               
                 5.454 
                 −1.758 
                 43.628 
               
               
                 0.272 
                 −0.542 
                 43.628 
               
               
                 5.784 
                 −1.948 
                 43.628 
               
               
                 5.106 
                 −1.605 
                 43.628 
               
               
                 2.785 
                 −0.952 
                 43.628 
               
               
                 6.233 
                 −3.464 
                 43.628 
               
               
                 4.974 
                 −3.608 
                 43.628 
               
               
                 4.262 
                 −1.326 
                 43.628 
               
               
                 1.484 
                 −1.071 
                 43.628 
               
               
                 0.148 
                 −0.497 
                 43.628 
               
               
                 2.909 
                 −0.981 
                 43.628 
               
               
                 6.396 
                 −2.987 
                 43.628 
               
               
                 1.174 
                 −0.593 
                 43.628 
               
               
                 2.661 
                 −0.923 
                 43.628 
               
               
                 2.878 
                 −1.831 
                 43.628 
               
               
                 4.905 
                 −3.495 
                 43.628 
               
               
                 2.535 
                 −1.631 
                 43.628 
               
               
                 1.365 
                 −1.013 
                 43.628 
               
               
                 4.140 
                 −1.292 
                 43.628 
               
               
                 1.546 
                 −0.674 
                 43.628 
               
               
                 1.049 
                 −0.566 
                 43.628 
               
               
                 2.537 
                 −0.895 
                 43.628 
               
               
                 3.329 
                 −2.107 
                 43.628 
               
               
                 3.104 
                 −1.967 
                 43.628 
               
               
                 2.419 
                 −1.566 
                 43.628 
               
               
                 1.246 
                 −0.956 
                 43.628 
               
               
                 5.567 
                 −1.817 
                 43.628 
               
               
                 3.649 
                 −1.162 
                 43.628 
               
               
                 5.506 
                 −4.119 
                 43.628 
               
               
                 4.017 
                 −1.258 
                 43.628 
               
               
                 3.279 
                 −1.070 
                 43.628 
               
               
                 0.925 
                 −0.540 
                 43.628 
               
               
                 3.769 
                 −2.400 
                 43.628 
               
               
                 5.677 
                 −1.880 
                 43.628 
               
               
                 4.579 
                 −3.079 
                 43.628 
               
               
                 2.414 
                 −0.867 
                 43.628 
               
               
                 2.304 
                 −1.502 
                 43.628 
               
               
                 1.126 
                 −0.900 
                 43.628 
               
               
                 5.630 
                 −4.096 
                 43.628 
               
               
                 0.801 
                 −0.513 
                 43.628 
               
               
                 3.661 
                 −2.325 
                 43.628 
               
               
                 4.831 
                 −3.385 
                 43.628 
               
               
                 2.188 
                 −1.438 
                 43.628 
               
               
                 1.005 
                 −0.846 
                 43.628 
               
               
                 6.384 
                 −2.734 
                 43.628 
               
               
                 2.290 
                 −0.839 
                 43.628 
               
               
                 5.745 
                 −4.042 
                 43.628 
               
               
                 1.298 
                 −0.620 
                 43.628 
               
               
                 4.391 
                 −2.893 
                 43.628 
               
               
                 3.551 
                 −2.251 
                 43.628 
               
               
                 3.217 
                 −2.037 
                 43.628 
               
               
                 0.677 
                 −0.486 
                 43.628 
               
               
                 2.072 
                 −1.375 
                 43.628 
               
               
                 6.352 
                 −2.611 
                 43.628 
               
               
                 1.794 
                 −0.728 
                 43.628 
               
               
                 1.422 
                 −0.647 
                 43.628 
               
               
                 1.670 
                 −0.701 
                 43.628 
               
               
                 5.845 
                 −3.964 
                 43.628 
               
               
                 3.440 
                 −2.179 
                 43.628 
               
               
                 3.772 
                 −1.193 
                 43.628 
               
               
                 4.088 
                 −2.636 
                 43.628 
               
               
                 3.895 
                 −1.225 
                 43.628 
               
               
                 0.884 
                 −0.792 
                 43.628 
               
               
                 0.553 
                 −0.460 
                 43.628 
               
               
                 1.955 
                 −1.313 
                 43.628 
               
               
                 5.380 
                 −4.104 
                 43.628 
               
               
                 6.304 
                 −2.494 
                 43.628 
               
               
                 2.042 
                 −0.783 
                 43.628 
               
               
                 5.933 
                 −3.873 
                 43.628 
               
               
                 4.752 
                 −3.279 
                 43.628 
               
               
                 6.375 
                 −3.112 
                 43.628 
               
               
                 1.838 
                 −1.251 
                 43.628 
               
               
                 4.987 
                 −1.559 
                 43.628 
               
               
                 5.340 
                 −1.704 
                 43.628 
               
               
                 0.429 
                 −0.433 
                 43.628 
               
               
                 6.241 
                 −2.384 
                 43.628 
               
               
                 6.016 
                 −3.776 
                 43.628 
               
               
                 5.223 
                 −1.652 
                 43.628 
               
               
                 1.918 
                 −0.756 
                 43.628 
               
               
                 4.868 
                 −1.516 
                 43.628 
               
               
                 6.165 
                 −2.282 
                 43.628 
               
               
                 4.668 
                 −3.177 
                 43.628 
               
               
                 5.262 
                 −4.046 
                 43.628 
               
               
                 6.094 
                 −3.677 
                 43.628 
               
               
                 1.720 
                 −1.191 
                 43.628 
               
               
                 0.763 
                 −0.739 
                 43.628 
               
               
                 4.748 
                 −1.475 
                 43.628 
               
               
                 2.166 
                 −0.811 
                 43.628 
               
               
                 6.079 
                 −2.188 
                 43.628 
               
               
                 2.764 
                 −1.764 
                 43.628 
               
               
                 5.168 
                 −3.954 
                 43.628 
               
               
                 0.641 
                 −0.688 
                 43.628 
               
               
                 6.399 
                 −2.860 
                 43.628 
               
               
                 6.167 
                 −3.573 
                 43.628 
               
               
                 3.156 
                 −1.040 
                 43.628 
               
               
                 4.627 
                 −1.436 
                 43.628 
               
               
                 4.487 
                 −2.984 
                 43.628 
               
               
                 4.292 
                 −2.805 
                 43.628 
               
               
                 5.987 
                 −2.101 
                 43.628 
               
               
                 0.600 
                 −0.635 
                 44.228 
               
               
                 0.476 
                 −0.584 
                 44.228 
               
               
                 0.970 
                 −0.796 
                 44.228 
               
               
                 0.063 
                 −0.366 
                 44.228 
               
               
                 0.724 
                 −0.687 
                 44.228 
               
               
                 0.351 
                 −0.534 
                 44.228 
               
               
                 1.515 
                 −0.621 
                 44.228 
               
               
                 1.334 
                 −0.967 
                 44.228 
               
               
                 0.089 
                 −0.330 
                 44.228 
               
               
                 0.385 
                 −0.377 
                 44.228 
               
               
                 1.390 
                 −0.594 
                 44.228 
               
               
                 1.092 
                 −0.852 
                 44.228 
               
               
                 0.847 
                 −0.741 
                 44.228 
               
               
                 0.226 
                 −0.486 
                 44.228 
               
               
                 1.264 
                 −0.567 
                 44.228 
               
               
                 1.139 
                 −0.539 
                 44.228 
               
               
                 1.013 
                 −0.512 
                 44.228 
               
               
                 0.100 
                 −0.439 
                 44.228 
               
               
                 0.259 
                 −0.350 
                 44.228 
               
               
                 0.887 
                 −0.485 
                 44.228 
               
               
                 0.133 
                 −0.323 
                 44.228 
               
               
                 1.213 
                 −0.909 
                 44.228 
               
               
                 0.762 
                 −0.458 
                 44.228 
               
               
                 1.575 
                 −1.086 
                 44.228 
               
               
                 0.510 
                 −0.404 
                 44.228 
               
               
                 0.067 
                 −0.410 
                 44.228 
               
               
                 0.636 
                 −0.431 
                 44.228 
               
               
                 1.455 
                 −1.026 
                 44.228 
               
               
                 2.870 
                 −1.796 
                 44.228 
               
               
                 2.017 
                 −0.732 
                 44.228 
               
               
                 2.754 
                 −1.728 
                 44.228 
               
               
                 2.638 
                 −1.661 
                 44.228 
               
               
                 1.766 
                 −0.677 
                 44.228 
               
               
                 2.268 
                 −0.789 
                 44.228 
               
               
                 2.143 
                 −0.760 
                 44.228 
               
               
                 2.404 
                 −1.528 
                 44.228 
               
               
                 1.641 
                 −0.649 
                 44.228 
               
               
                 3.145 
                 −0.992 
                 44.228 
               
               
                 3.020 
                 −0.962 
                 44.228 
               
               
                 2.287 
                 −1.463 
                 44.228 
               
               
                 2.895 
                 −0.933 
                 44.228 
               
               
                 2.169 
                 −1.399 
                 44.228 
               
               
                 1.892 
                 −0.704 
                 44.228 
               
               
                 2.521 
                 −1.594 
                 44.228 
               
               
                 2.769 
                 −0.903 
                 44.228 
               
               
                 2.051 
                 −1.335 
                 44.228 
               
               
                 2.644 
                 −0.874 
                 44.228 
               
               
                 3.215 
                 −2.004 
                 44.228 
               
               
                 1.933 
                 −1.271 
                 44.228 
               
               
                 2.394 
                 −0.817 
                 44.228 
               
               
                 2.519 
                 −0.846 
                 44.228 
               
               
                 1.814 
                 −1.209 
                 44.228 
               
               
                 1.695 
                 −1.147 
                 44.228 
               
               
                 3.100 
                 −1.934 
                 44.228 
               
               
                 2.985 
                 −1.865 
                 44.228 
               
               
                 4.310 
                 −2.778 
                 44.228 
               
               
                 3.519 
                 −1.083 
                 44.228 
               
               
                 4.855 
                 −3.369 
                 44.228 
               
               
                 3.395 
                 −1.053 
                 44.228 
               
               
                 4.878 
                 −1.473 
                 44.228 
               
               
                 4.775 
                 −3.261 
                 44.228 
               
               
                 4.207 
                 −2.692 
                 44.228 
               
               
                 3.270 
                 −1.022 
                 44.228 
               
               
                 4.756 
                 −1.431 
                 44.228 
               
               
                 4.691 
                 −3.157 
                 44.228 
               
               
                 3.769 
                 −1.147 
                 44.228 
               
               
                 4.634 
                 −1.392 
                 44.228 
               
               
                 3.667 
                 −2.294 
                 44.228 
               
               
                 3.893 
                 −1.179 
                 44.228 
               
               
                 4.511 
                 −1.354 
                 44.228 
               
               
                 4.017 
                 −1.212 
                 44.228 
               
               
                 3.555 
                 −2.220 
                 44.228 
               
               
                 4.388 
                 −1.317 
                 44.228 
               
               
                 3.442 
                 −2.147 
                 44.228 
               
               
                 4.265 
                 −1.281 
                 44.228 
               
               
                 3.329 
                 −2.075 
                 44.228 
               
               
                 4.103 
                 −2.608 
                 44.228 
               
               
                 3.996 
                 −2.527 
                 44.228 
               
               
                 3.887 
                 −2.448 
                 44.228 
               
               
                 3.778 
                 −2.370 
                 44.228 
               
               
                 4.601 
                 −3.057 
                 44.228 
               
               
                 4.508 
                 −2.960 
                 44.228 
               
               
                 4.141 
                 −1.246 
                 44.228 
               
               
                 4.410 
                 −2.868 
                 44.228 
               
               
                 3.644 
                 −1.115 
                 44.228 
               
               
                 6.042 
                 −3.768 
                 44.228 
               
               
                 4.929 
                 −3.481 
                 44.228 
               
               
                 5.586 
                 −1.778 
                 44.228 
               
               
                 5.958 
                 −3.866 
                 44.228 
               
               
                 4.999 
                 −1.516 
                 44.228 
               
               
                 6.264 
                 −2.356 
                 44.228 
               
               
                 5.697 
                 −1.842 
                 44.228 
               
               
                 6.188 
                 −2.252 
                 44.228 
               
               
                 6.318 
                 −3.336 
                 44.228 
               
               
                 5.116 
                 −3.838 
                 44.228 
               
               
                 6.009 
                 −2.068 
                 44.228 
               
               
                 6.102 
                 −2.157 
                 44.228 
               
               
                 5.058 
                 −3.717 
                 44.228 
               
               
                 4.996 
                 −3.597 
                 44.228 
               
               
                 6.260 
                 −3.451 
                 44.228 
               
               
                 5.805 
                 −1.912 
                 44.228 
               
               
                 5.119 
                 −1.562 
                 44.228 
               
               
                 5.281 
                 −4.046 
                 44.228 
               
               
                 6.401 
                 −3.093 
                 44.228 
               
               
                 5.401 
                 −4.104 
                 44.228 
               
               
                 6.421 
                 −2.967 
                 44.228 
               
               
                 5.528 
                 −4.119 
                 44.228 
               
               
                 5.185 
                 −3.953 
                 44.228 
               
               
                 6.366 
                 −3.217 
                 44.228 
               
               
                 6.424 
                 −2.838 
                 44.228 
               
               
                 5.654 
                 −4.095 
                 44.228 
               
               
                 6.194 
                 −3.561 
                 44.228 
               
               
                 5.356 
                 −1.663 
                 44.228 
               
               
                 6.408 
                 −2.711 
                 44.228 
               
               
                 5.769 
                 −4.038 
                 44.228 
               
               
                 5.238 
                 −1.611 
                 44.228 
               
               
                 6.376 
                 −2.586 
                 44.228 
               
               
                 5.869 
                 −3.959 
                 44.228 
               
               
                 5.909 
                 −1.987 
                 44.228 
               
               
                 6.121 
                 −3.667 
                 44.228 
               
               
                 5.472 
                 −1.718 
                 44.228 
               
               
                 6.328 
                 −2.467 
                 44.228 
               
               
                 1.068 
                 −0.787 
                 44.828 
               
               
                 0.820 
                 −0.674 
                 44.828 
               
               
                 0.696 
                 −0.618 
                 44.828 
               
               
                 0.733 
                 −0.386 
                 44.828 
               
               
                 0.987 
                 −0.442 
                 44.828 
               
               
                 0.571 
                 −0.565 
                 44.828 
               
               
                 0.064 
                 −0.363 
                 44.828 
               
               
                 1.494 
                 −0.555 
                 44.828 
               
               
                 0.352 
                 −0.302 
                 44.828 
               
               
                 0.031 
                 −0.333 
                 44.828 
               
               
                 0.860 
                 −0.414 
                 44.828 
               
               
                 0.225 
                 −0.274 
                 44.828 
               
               
                 1.191 
                 −0.846 
                 44.828 
               
               
                 0.479 
                 −0.330 
                 44.828 
               
               
                 0.098 
                 −0.246 
                 44.828 
               
               
                 1.367 
                 −0.526 
                 44.828 
               
               
                 0.606 
                 −0.358 
                 44.828 
               
               
                 0.319 
                 −0.461 
                 44.828 
               
               
                 1.557 
                 −1.028 
                 44.828 
               
               
                 1.313 
                 −0.906 
                 44.828 
               
               
                 0.054 
                 −0.253 
                 44.828 
               
               
                 1.241 
                 −0.498 
                 44.828 
               
               
                 0.944 
                 −0.730 
                 44.828 
               
               
                 0.445 
                 −0.512 
                 44.828 
               
               
                 1.435 
                 −0.967 
                 44.828 
               
               
                 0.027 
                 −0.289 
                 44.828 
               
               
                 0.192 
                 −0.411 
                 44.828 
               
               
                 1.114 
                 −0.470 
                 44.828 
               
               
                 2.514 
                 −1.549 
                 44.828 
               
               
                 2.255 
                 −0.727 
                 44.828 
               
               
                 2.761 
                 −0.845 
                 44.828 
               
               
                 2.632 
                 −1.617 
                 44.828 
               
               
                 1.621 
                 −0.583 
                 44.828 
               
               
                 2.277 
                 −1.415 
                 44.828 
               
               
                 1.677 
                 −1.091 
                 44.828 
               
               
                 2.158 
                 −1.349 
                 44.828 
               
               
                 2.128 
                 −0.698 
                 44.828 
               
               
                 2.396 
                 −1.481 
                 44.828 
               
               
                 2.984 
                 −1.825 
                 44.828 
               
               
                 1.798 
                 −1.154 
                 44.828 
               
               
                 2.634 
                 −0.815 
                 44.828 
               
               
                 2.867 
                 −1.755 
                 44.828 
               
               
                 2.001 
                 −0.669 
                 44.828 
               
               
                 1.918 
                 −1.218 
                 44.828 
               
               
                 3.140 
                 −0.936 
                 44.828 
               
               
                 2.508 
                 −0.786 
                 44.828 
               
               
                 1.875 
                 −0.640 
                 44.828 
               
               
                 3.014 
                 −0.905 
                 44.828 
               
               
                 2.750 
                 −1.685 
                 44.828 
               
               
                 2.038 
                 −1.283 
                 44.828 
               
               
                 2.381 
                 −0.756 
                 44.828 
               
               
                 3.217 
                 −1.966 
                 44.828 
               
               
                 1.748 
                 −0.612 
                 44.828 
               
               
                 3.101 
                 −1.895 
                 44.828 
               
               
                 2.887 
                 −0.875 
                 44.828 
               
               
                 3.332 
                 −2.038 
                 44.828 
               
               
                 4.021 
                 −1.162 
                 44.828 
               
               
                 4.429 
                 −2.844 
                 44.828 
               
               
                 3.393 
                 −0.998 
                 44.828 
               
               
                 3.675 
                 −2.262 
                 44.828 
               
               
                 4.521 
                 −1.306 
                 44.828 
               
               
                 3.787 
                 −2.339 
                 44.828 
               
               
                 3.896 
                 −1.128 
                 44.828 
               
               
                 4.798 
                 −3.243 
                 44.828 
               
               
                 3.561 
                 −2.186 
                 44.828 
               
               
                 3.266 
                 −0.967 
                 44.828 
               
               
                 4.713 
                 −3.137 
                 44.828 
               
               
                 4.396 
                 −1.269 
                 44.828 
               
               
                 4.117 
                 −2.580 
                 44.828 
               
               
                 3.770 
                 −1.094 
                 44.828 
               
               
                 3.447 
                 −2.112 
                 44.828 
               
               
                 4.527 
                 −2.938 
                 44.828 
               
               
                 4.891 
                 −1.428 
                 44.828 
               
               
                 4.008 
                 −2.498 
                 44.828 
               
               
                 4.272 
                 −1.232 
                 44.828 
               
               
                 3.898 
                 −2.417 
                 44.828 
               
               
                 4.223 
                 −2.665 
                 44.828 
               
               
                 3.644 
                 −1.062 
                 44.828 
               
               
                 4.768 
                 −1.386 
                 44.828 
               
               
                 4.147 
                 −1.196 
                 44.828 
               
               
                 4.878 
                 −3.354 
                 44.828 
               
               
                 3.519 
                 −1.030 
                 44.828 
               
               
                 4.622 
                 −3.035 
                 44.828 
               
               
                 4.327 
                 −2.753 
                 44.828 
               
               
                 4.645 
                 −1.345 
                 44.828 
               
               
                 6.345 
                 −3.323 
                 44.828 
               
               
                 5.716 
                 −1.807 
                 44.828 
               
               
                 6.448 
                 −2.818 
                 44.828 
               
               
                 5.550 
                 −4.119 
                 44.828 
               
               
                 5.134 
                 −1.520 
                 44.828 
               
               
                 6.432 
                 −2.689 
                 44.828 
               
               
                 6.067 
                 −3.761 
                 44.828 
               
               
                 6.123 
                 −2.128 
                 44.828 
               
               
                 6.392 
                 −3.202 
                 44.828 
               
               
                 5.604 
                 −1.741 
                 44.828 
               
               
                 5.677 
                 −4.094 
                 44.828 
               
               
                 6.399 
                 −2.564 
                 44.828 
               
               
                 5.013 
                 −1.473 
                 44.828 
               
               
                 5.132 
                 −3.835 
                 44.828 
               
               
                 6.147 
                 −3.658 
                 44.828 
               
               
                 6.029 
                 −2.038 
                 44.828 
               
               
                 6.427 
                 −3.077 
                 44.828 
               
               
                 5.490 
                 −1.680 
                 44.828 
               
               
                 5.077 
                 −3.710 
                 44.828 
               
               
                 5.792 
                 −4.035 
                 44.828 
               
               
                 6.350 
                 −2.444 
                 44.828 
               
               
                 5.017 
                 −3.588 
                 44.828 
               
               
                 6.221 
                 −3.551 
                 44.828 
               
               
                 5.930 
                 −1.955 
                 44.828 
               
               
                 5.373 
                 −1.623 
                 44.828 
               
               
                 5.299 
                 −4.046 
                 44.828 
               
               
                 4.951 
                 −3.469 
                 44.828 
               
               
                 5.893 
                 −3.954 
                 44.828 
               
               
                 6.286 
                 −2.331 
                 44.828 
               
               
                 5.202 
                 −3.952 
                 44.828 
               
               
                 6.287 
                 −3.439 
                 44.828 
               
               
                 5.825 
                 −1.878 
                 44.828 
               
               
                 5.421 
                 −4.105 
                 44.828 
               
               
                 5.254 
                 −1.570 
                 44.828 
               
               
                 5.983 
                 −3.860 
                 44.828 
               
               
                 6.209 
                 −2.226 
                 44.828 
               
               
                 6.446 
                 −2.948 
                 44.828 
               
               
                 0.462 
                 −0.253 
                 45.428 
               
               
                 0.428 
                 −0.436 
                 45.428 
               
               
                 1.612 
                 −0.516 
                 45.428 
               
               
                 0.932 
                 −0.660 
                 45.428 
               
               
                 0.973 
                 −0.369 
                 45.428 
               
               
                 0.301 
                 −0.384 
                 45.428 
               
               
                 0.007 
                 −0.208 
                 45.428 
               
               
                 0.334 
                 −0.224 
                 45.428 
               
               
                 1.484 
                 −0.487 
                 45.428 
               
               
                 0.845 
                 −0.340 
                 45.428 
               
               
                 0.172 
                 −0.332 
                 45.428 
               
               
                 0.207 
                 −0.195 
                 45.428 
               
               
                 0.044 
                 −0.283 
                 45.428 
               
               
                 1.550 
                 −0.967 
                 45.428 
               
               
                 1.356 
                 −0.457 
                 45.428 
               
               
                 1.427 
                 −0.903 
                 45.428 
               
               
                 0.718 
                 −0.311 
                 45.428 
               
               
                 0.807 
                 −0.602 
                 45.428 
               
               
                 1.181 
                 −0.780 
                 45.428 
               
               
                 0.079 
                 −0.166 
                 45.428 
               
               
                 1.057 
                 −0.719 
                 45.428 
               
               
                 0.011 
                 −0.252 
                 45.428 
               
               
                 1.229 
                 −0.428 
                 45.428 
               
               
                 0.035 
                 −0.173 
                 45.428 
               
               
                 0.590 
                 −0.282 
                 45.428 
               
               
                 0.681 
                 −0.546 
                 45.428 
               
               
                 1.304 
                 −0.841 
                 45.428 
               
               
                 2.249 
                 −0.665 
                 45.428 
               
               
                 1.914 
                 −1.162 
                 45.428 
               
               
                 3.222 
                 −1.931 
                 45.428 
               
               
                 3.105 
                 −1.858 
                 45.428 
               
               
                 1.793 
                 −1.096 
                 45.428 
               
               
                 2.988 
                 −1.785 
                 45.428 
               
               
                 2.759 
                 −0.788 
                 45.428 
               
               
                 2.122 
                 −0.635 
                 45.428 
               
               
                 2.870 
                 −1.714 
                 45.428 
               
               
                 1.672 
                 −1.031 
                 45.428 
               
               
                 2.632 
                 −0.757 
                 45.428 
               
               
                 2.633 
                 −1.572 
                 45.428 
               
               
                 1.994 
                 −0.605 
                 45.428 
               
               
                 3.141 
                 −0.882 
                 45.428 
               
               
                 2.514 
                 −1.502 
                 45.428 
               
               
                 2.504 
                 −0.726 
                 45.428 
               
               
                 2.395 
                 −1.433 
                 45.428 
               
               
                 1.867 
                 −0.575 
                 45.428 
               
               
                 2.276 
                 −1.364 
                 45.428 
               
               
                 3.013 
                 −0.850 
                 45.428 
               
               
                 2.156 
                 −1.296 
                 45.428 
               
               
                 2.377 
                 −0.696 
                 45.428 
               
               
                 2.035 
                 −1.229 
                 45.428 
               
               
                 1.739 
                 −0.546 
                 45.428 
               
               
                 0.555 
                 −0.490 
                 45.428 
               
               
                 2.752 
                 −1.642 
                 45.428 
               
               
                 2.886 
                 −0.819 
                 45.428 
               
               
                 1.101 
                 −0.399 
                 45.428 
               
               
                 4.027 
                 −1.117 
                 45.428 
               
               
                 3.339 
                 −2.005 
                 45.428 
               
               
                 3.395 
                 −0.947 
                 45.428 
               
               
                 4.818 
                 −3.230 
                 45.428 
               
               
                 4.529 
                 −1.267 
                 45.428 
               
               
                 3.901 
                 −1.081 
                 45.428 
               
               
                 4.640 
                 −3.020 
                 45.428 
               
               
                 4.544 
                 −2.921 
                 45.428 
               
               
                 3.268 
                 −0.914 
                 45.428 
               
               
                 4.445 
                 −2.825 
                 45.428 
               
               
                 4.732 
                 −3.123 
                 45.428 
               
               
                 4.404 
                 −1.228 
                 45.428 
               
               
                 4.342 
                 −2.733 
                 45.428 
               
               
                 3.775 
                 −1.047 
                 45.428 
               
               
                 4.129 
                 −2.558 
                 45.428 
               
               
                 4.020 
                 −2.474 
                 45.428 
               
               
                 4.279 
                 −1.190 
                 45.428 
               
               
                 3.797 
                 −2.312 
                 45.428 
               
               
                 3.909 
                 −2.392 
                 45.428 
               
               
                 3.648 
                 −1.013 
                 45.428 
               
               
                 4.778 
                 −1.349 
                 45.428 
               
               
                 6.371 
                 −3.314 
                 45.428 
               
               
                 5.729 
                 −1.785 
                 45.428 
               
               
                 4.899 
                 −3.343 
                 45.428 
               
               
                 5.571 
                 −4.119 
                 45.428 
               
               
                 6.453 
                 −2.674 
                 45.428 
               
               
                 5.146 
                 −1.488 
                 45.428 
               
               
                 6.092 
                 −3.755 
                 45.428 
               
               
                 6.138 
                 −2.110 
                 45.428 
               
               
                 6.418 
                 −3.191 
                 45.428 
               
               
                 5.617 
                 −1.717 
                 45.428 
               
               
                 5.699 
                 −4.092 
                 45.428 
               
               
                 6.418 
                 −2.548 
                 45.428 
               
               
                 5.024 
                 −1.439 
                 45.428 
               
               
                 5.095 
                 −3.706 
                 45.428 
               
               
                 6.172 
                 −3.652 
                 45.428 
               
               
                 6.043 
                 −2.020 
                 45.428 
               
               
                 5.038 
                 −3.580 
                 45.428 
               
               
                 6.452 
                 −3.065 
                 45.428 
               
               
                 5.502 
                 −1.654 
                 45.428 
               
               
                 5.219 
                 −3.951 
                 45.428 
               
               
                 5.815 
                 −4.032 
                 45.428 
               
               
                 6.368 
                 −2.427 
                 45.428 
               
               
                 4.901 
                 −1.393 
                 45.428 
               
               
                 5.148 
                 −3.833 
                 45.428 
               
               
                 6.246 
                 −3.544 
                 45.428 
               
               
                 5.943 
                 −1.935 
                 45.428 
               
               
                 6.470 
                 −2.935 
                 45.428 
               
               
                 5.385 
                 −1.595 
                 45.428 
               
               
                 4.972 
                 −3.459 
                 45.428 
               
               
                 5.917 
                 −3.950 
                 45.428 
               
               
                 6.302 
                 −2.314 
                 45.428 
               
               
                 5.318 
                 −4.047 
                 45.428 
               
               
                 6.313 
                 −3.431 
                 45.428 
               
               
                 5.838 
                 −1.857 
                 45.428 
               
               
                 4.153 
                 −1.153 
                 45.428 
               
               
                 3.684 
                 −2.233 
                 45.428 
               
               
                 5.441 
                 −4.106 
                 45.428 
               
               
                 6.471 
                 −2.804 
                 45.428 
               
               
                 5.266 
                 −1.540 
                 45.428 
               
               
                 3.521 
                 −0.980 
                 45.428 
               
               
                 3.569 
                 −2.156 
                 45.428 
               
               
                 6.007 
                 −3.855 
                 45.428 
               
               
                 6.225 
                 −2.208 
                 45.428 
               
               
                 4.654 
                 −1.307 
                 45.428 
               
               
                 4.237 
                 −2.644 
                 45.428 
               
               
                 3.454 
                 −2.080 
                 45.428 
               
               
                 0.455 
                 −0.177 
                 46.028 
               
               
                 −0.002 
                 −0.127 
                 46.028 
               
               
                 0.549 
                 −0.416 
                 46.028 
               
               
                 0.802 
                 −0.532 
                 46.028 
               
               
                 0.421 
                 −0.361 
                 46.028 
               
               
                 0.968 
                 −0.298 
                 46.028 
               
               
                 1.609 
                 −0.451 
                 46.028 
               
               
                 0.293 
                 −0.306 
                 46.028 
               
               
                 1.054 
                 −0.652 
                 46.028 
               
               
                 0.327 
                 −0.147 
                 46.028 
               
               
                 0.164 
                 −0.254 
                 46.028 
               
               
                 1.178 
                 −0.714 
                 46.028 
               
               
                 1.481 
                 −0.420 
                 46.028 
               
               
                 0.034 
                 −0.202 
                 46.028 
               
               
                 0.001 
                 −0.172 
                 46.028 
               
               
                 1.426 
                 −0.842 
                 46.028 
               
               
                 0.840 
                 −0.268 
                 46.028 
               
               
                 0.199 
                 −0.116 
                 46.028 
               
               
                 1.353 
                 −0.390 
                 46.028 
               
               
                 0.712 
                 −0.237 
                 46.028 
               
               
                 0.070 
                 −0.086 
                 46.028 
               
               
                 0.676 
                 −0.473 
                 46.028 
               
               
                 1.303 
                 −0.777 
                 46.028 
               
               
                 1.225 
                 −0.359 
                 46.028 
               
               
                 0.928 
                 −0.591 
                 46.028 
               
               
                 0.584 
                 −0.207 
                 46.028 
               
               
                 1.549 
                 −0.907 
                 46.028 
               
               
                 1.097 
                 −0.328 
                 46.028 
               
               
                 0.026 
                 −0.093 
                 46.028 
               
               
                 2.991 
                 −1.753 
                 46.028 
               
               
                 2.250 
                 −0.607 
                 46.028 
               
               
                 2.157 
                 −1.247 
                 46.028 
               
               
                 2.636 
                 −1.532 
                 46.028 
               
               
                 2.755 
                 −1.605 
                 46.028 
               
               
                 2.761 
                 −0.734 
                 46.028 
               
               
                 2.122 
                 −0.575 
                 46.028 
               
               
                 2.277 
                 −1.317 
                 46.028 
               
               
                 1.794 
                 −1.041 
                 46.028 
               
               
                 3.226 
                 −1.903 
                 46.028 
               
               
                 2.634 
                 −0.702 
                 46.028 
               
               
                 1.915 
                 −1.109 
                 46.028 
               
               
                 1.994 
                 −0.544 
                 46.028 
               
               
                 3.144 
                 −0.832 
                 46.028 
               
               
                 2.036 
                 −1.177 
                 46.028 
               
               
                 2.517 
                 −1.460 
                 46.028 
               
               
                 2.506 
                 −0.670 
                 46.028 
               
               
                 2.397 
                 −1.388 
                 46.028 
               
               
                 1.866 
                 −0.513 
                 46.028 
               
               
                 1.672 
                 −0.973 
                 46.028 
               
               
                 3.017 
                 −0.799 
                 46.028 
               
               
                 3.109 
                 −1.827 
                 46.028 
               
               
                 2.378 
                 −0.638 
                 46.028 
               
               
                 1.738 
                 −0.482 
                 46.028 
               
               
                 2.873 
                 −1.678 
                 46.028 
               
               
                 2.889 
                 −0.767 
                 46.028 
               
               
                 4.034 
                 −1.077 
                 46.028 
               
               
                 3.399 
                 −0.900 
                 46.028 
               
               
                 4.537 
                 −1.234 
                 46.028 
               
               
                 4.746 
                 −3.115 
                 46.028 
               
               
                 4.351 
                 −2.723 
                 46.028 
               
               
                 4.455 
                 −2.816 
                 46.028 
               
               
                 3.908 
                 −1.040 
                 46.028 
               
               
                 4.653 
                 −3.011 
                 46.028 
               
               
                 4.026 
                 −2.459 
                 46.028 
               
               
                 4.834 
                 −3.223 
                 46.028 
               
               
                 3.272 
                 −0.866 
                 46.028 
               
               
                 4.412 
                 −1.193 
                 46.028 
               
               
                 4.244 
                 −2.633 
                 46.028 
               
               
                 3.342 
                 −1.979 
                 46.028 
               
               
                 3.781 
                 −1.004 
                 46.028 
               
               
                 4.136 
                 −2.545 
                 46.028 
               
               
                 3.459 
                 −2.056 
                 46.028 
               
               
                 4.286 
                 −1.153 
                 46.028 
               
               
                 3.654 
                 −0.969 
                 46.028 
               
               
                 4.786 
                 −1.321 
                 46.028 
               
               
                 3.688 
                 −2.213 
                 46.028 
               
               
                 3.574 
                 −2.134 
                 46.028 
               
               
                 4.160 
                 −1.115 
                 46.028 
               
               
                 3.802 
                 −2.294 
                 46.028 
               
               
                 3.527 
                 −0.934 
                 46.028 
               
               
                 4.556 
                 −2.912 
                 46.028 
               
               
                 4.662 
                 −1.277 
                 46.028 
               
               
                 3.915 
                 −2.376 
                 46.028 
               
               
                 6.397 
                 −3.307 
                 46.028 
               
               
                 5.737 
                 −1.771 
                 46.028 
               
               
                 5.592 
                 −4.119 
                 46.028 
               
               
                 6.472 
                 −2.664 
                 46.028 
               
               
                 5.154 
                 −1.466 
                 46.028 
               
               
                 6.116 
                 −3.751 
                 46.028 
               
               
                 6.148 
                 −2.100 
                 46.028 
               
               
                 6.443 
                 −3.184 
                 46.028 
               
               
                 5.625 
                 −1.702 
                 46.028 
               
               
                 5.721 
                 −4.092 
                 46.028 
               
               
                 6.435 
                 −2.538 
                 46.028 
               
               
                 5.033 
                 −1.415 
                 46.028 
               
               
                 6.197 
                 −3.648 
                 46.028 
               
               
                 6.053 
                 −2.009 
                 46.028 
               
               
                 6.476 
                 −3.057 
                 46.028 
               
               
                 5.510 
                 −1.638 
                 46.028 
               
               
                 5.837 
                 −4.031 
                 46.028 
               
               
                 6.382 
                 −2.417 
                 46.028 
               
               
                 4.910 
                 −1.366 
                 46.028 
               
               
                 5.336 
                 −4.047 
                 46.028 
               
               
                 6.271 
                 −3.539 
                 46.028 
               
               
                 5.952 
                 −1.924 
                 46.028 
               
               
                 6.494 
                 −2.926 
                 46.028 
               
               
                 5.393 
                 −1.577 
                 46.028 
               
               
                 5.236 
                 −3.952 
                 46.028 
               
               
                 5.113 
                 −3.703 
                 46.028 
               
               
                 4.991 
                 −3.453 
                 46.028 
               
               
                 5.939 
                 −3.947 
                 46.028 
               
               
                 6.315 
                 −2.304 
                 46.028 
               
               
                 5.165 
                 −3.832 
                 46.028 
               
               
                 6.339 
                 −3.426 
                 46.028 
               
               
                 5.847 
                 −1.845 
                 46.028 
               
               
                 5.462 
                 −4.106 
                 46.028 
               
               
                 6.492 
                 −2.794 
                 46.028 
               
               
                 5.274 
                 −1.520 
                 46.028 
               
               
                 5.057 
                 −3.575 
                 46.028 
               
               
                 6.030 
                 −3.852 
                 46.028 
               
               
                 6.236 
                 −2.198 
                 46.028 
               
               
                 4.916 
                 −3.335 
                 46.028 
               
               
                 0.478 
                 −0.097 
                 46.628 
               
               
                 0.020 
                 −0.044 
                 46.628 
               
               
                 0.023 
                 −0.088 
                 46.628 
               
               
                 1.575 
                 −0.839 
                 46.628 
               
               
                 0.991 
                 −0.222 
                 46.628 
               
               
                 0.349 
                 −0.066 
                 46.628 
               
               
                 1.328 
                 −0.706 
                 46.628 
               
               
                 1.505 
                 −0.349 
                 46.628 
               
               
                 1.204 
                 −0.642 
                 46.628 
               
               
                 0.863 
                 −0.191 
                 46.628 
               
               
                 1.079 
                 −0.578 
                 46.628 
               
               
                 0.444 
                 −0.281 
                 46.628 
               
               
                 0.827 
                 −0.455 
                 46.628 
               
               
                 0.221 
                 −0.034 
                 46.628 
               
               
                 0.572 
                 −0.338 
                 46.628 
               
               
                 0.953 
                 −0.516 
                 46.628 
               
               
                 1.377 
                 −0.317 
                 46.628 
               
               
                 0.056 
                 −0.119 
                 46.628 
               
               
                 0.735 
                 −0.160 
                 46.628 
               
               
                 0.093 
                 −0.003 
                 46.628 
               
               
                 0.048 
                 −0.009 
                 46.628 
               
               
                 1.248 
                 −0.286 
                 46.628 
               
               
                 1.452 
                 −0.772 
                 46.628 
               
               
                 0.606 
                 −0.128 
                 46.628 
               
               
                 0.700 
                 −0.396 
                 46.628 
               
               
                 0.186 
                 −0.171 
                 46.628 
               
               
                 1.120 
                 −0.254 
                 46.628 
               
               
                 0.315 
                 −0.225 
                 46.628 
               
               
                 2.274 
                 −0.542 
                 46.628 
               
               
                 1.633 
                 −0.381 
                 46.628 
               
               
                 2.894 
                 −1.639 
                 46.628 
               
               
                 2.786 
                 −0.674 
                 46.628 
               
               
                 3.011 
                 −1.717 
                 46.628 
               
               
                 1.698 
                 −0.907 
                 46.628 
               
               
                 2.146 
                 −0.509 
                 46.628 
               
               
                 2.776 
                 −1.562 
                 46.628 
               
               
                 2.658 
                 −0.640 
                 46.628 
               
               
                 2.018 
                 −0.477 
                 46.628 
               
               
                 3.170 
                 −0.775 
                 46.628 
               
               
                 3.243 
                 −1.874 
                 46.628 
               
               
                 2.659 
                 −1.486 
                 46.628 
               
               
                 2.530 
                 −0.607 
                 46.628 
               
               
                 2.540 
                 −1.411 
                 46.628 
               
               
                 1.890 
                 −0.445 
                 46.628 
               
               
                 3.042 
                 −0.741 
                 46.628 
               
               
                 2.422 
                 −1.336 
                 46.628 
               
               
                 2.302 
                 −1.263 
                 46.628 
               
               
                 2.402 
                 −0.574 
                 46.628 
               
               
                 2.183 
                 −1.190 
                 46.628 
               
               
                 2.062 
                 −1.118 
                 46.628 
               
               
                 1.761 
                 −0.413 
                 46.628 
               
               
                 1.941 
                 −1.047 
                 46.628 
               
               
                 2.914 
                 −0.707 
                 46.628 
               
               
                 3.127 
                 −1.795 
                 46.628 
               
               
                 1.820 
                 −0.976 
                 46.628 
               
               
                 4.059 
                 −1.029 
                 46.628 
               
               
                 3.425 
                 −0.845 
                 46.628 
               
               
                 4.466 
                 −2.812 
                 46.628 
               
               
                 4.562 
                 −1.194 
                 46.628 
               
               
                 4.361 
                 −2.719 
                 46.628 
               
               
                 3.933 
                 −0.991 
                 46.628 
               
               
                 4.255 
                 −2.627 
                 46.628 
               
               
                 3.297 
                 −0.810 
                 46.628 
               
               
                 4.146 
                 −2.538 
                 46.628 
               
               
                 4.437 
                 −1.151 
                 46.628 
               
               
                 3.806 
                 −0.953 
                 46.628 
               
               
                 4.568 
                 −2.909 
                 46.628 
               
               
                 4.037 
                 −2.451 
                 46.628 
               
               
                 3.701 
                 −2.198 
                 46.628 
               
               
                 3.473 
                 −2.034 
                 46.628 
               
               
                 4.311 
                 −1.109 
                 46.628 
               
               
                 3.814 
                 −2.281 
                 46.628 
               
               
                 4.666 
                 −3.008 
                 46.628 
               
               
                 3.679 
                 −0.917 
                 46.628 
               
               
                 3.587 
                 −2.115 
                 46.628 
               
               
                 4.810 
                 −1.286 
                 46.628 
               
               
                 4.186 
                 −1.069 
                 46.628 
               
               
                 4.851 
                 −3.219 
                 46.628 
               
               
                 3.358 
                 −1.954 
                 46.628 
               
               
                 3.552 
                 −0.881 
                 46.628 
               
               
                 4.761 
                 −3.112 
                 46.628 
               
               
                 3.926 
                 −2.365 
                 46.628 
               
               
                 4.686 
                 −1.239 
                 46.628 
               
               
                 6.247 
                 −2.196 
                 46.628 
               
               
                 5.294 
                 −1.497 
                 46.628 
               
               
                 6.512 
                 −2.791 
                 46.628 
               
               
                 5.613 
                 −4.119 
                 46.628 
               
               
                 6.363 
                 −3.424 
                 46.628 
               
               
                 5.482 
                 −4.107 
                 46.628 
               
               
                 6.326 
                 −2.302 
                 46.628 
               
               
                 5.859 
                 −4.030 
                 46.628 
               
               
                 6.516 
                 −2.923 
                 46.628 
               
               
                 5.964 
                 −1.918 
                 46.628 
               
               
                 6.296 
                 −3.538 
                 46.628 
               
               
                 5.355 
                 −4.048 
                 46.628 
               
               
                 5.253 
                 −3.953 
                 46.628 
               
               
                 5.528 
                 −1.622 
                 46.625 
               
               
                 6.395 
                 −2.415 
                 46.628 
               
               
                 5.860 
                 −1.837 
                 46.628 
               
               
                 5.960 
                 −3.946 
                 46.628 
               
               
                 6.500 
                 −3.054 
                 46.628 
               
               
                 5.054 
                 −1.386 
                 46.628 
               
               
                 6.064 
                 −2.005 
                 46.628 
               
               
                 6.220 
                 −3.646 
                 46.628 
               
               
                 4.935 
                 −3.332 
                 46.628 
               
               
                 5.131 
                 −3.702 
                 46.628 
               
               
                 6.450 
                 −2.535 
                 46.628 
               
               
                 5.011 
                 −3.449 
                 46.628 
               
               
                 6.052 
                 −3.850 
                 46.628 
               
               
                 6.468 
                 −3.182 
                 46.628 
               
               
                 5.077 
                 −3.573 
                 46.628 
               
               
                 5.412 
                 −1.558 
                 46.628 
               
               
                 5.742 
                 −4.091 
                 46.628 
               
               
                 6.159 
                 −2.097 
                 46.628 
               
               
                 6.138 
                 −3.750 
                 46.628 
               
               
                 6.490 
                 −2.661 
                 46.628 
               
               
                 5.641 
                 −1.689 
                 46.628 
               
               
                 4.933 
                 −1.335 
                 46.628 
               
               
                 5.175 
                 −1.440 
                 46.628 
               
               
                 6.421 
                 −3.306 
                 46.628 
               
               
                 5.752 
                 −1.761 
                 46.628 
               
               
                 5.181 
                 −3.833 
                 46.628 
               
               
                   
               
             
          
         
       
     
     While the invention has been described in connection with what is presently considered to be the most practical and preferred embodiment, it is to be understood that the invention is not to be limited to the disclosed embodiment. On the contrary, is intended to cover various modifications and equivalent arrangements included within the spirit and scope of the appended claims.
An article of manufacture having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth TABLE I. The X and Y values are distances in inches, which when connected by smooth continuing arcs define airfoil profile sections at each distance Z in inches The X, Y and Z distances may be scalable as a function of the same constant or number to provide a scaled up or scaled down airfoil section for the nozzle. The nominal airfoil given by the X, Y and Z distances lies within an envelope of +0.130 inch to −0.030 inch.