PATENT DOCUMENT

Abstract:
An article of manufacture having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in a TABLE 1. Wherein 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.

Full Description:
BACKGROUND OF THE INVENTION 
       [0001]    The present invention is related to the following GE dockets: ______, filed on _, respectively. 
         [0002]    The present invention relates to airfoils for a rotor blade of a gas turbine. In particular, the invention relates to compressor airfoil profiles for various stages of the compressor. In particular, the invention relates to compressor airfoil profiles for either inlet guide vanes, rotors, or stators at various stages of the compressor. 
         [0003]    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 blade of a compressor stator should achieve thermal and mechanical operating requirements for that particular stage. Further, for example, and in no way limiting of the invention, a blade of a compressor rotor should achieve thermal and mechanical operating requirements for that particular stage. 
       BRIEF DESCRIPTION OF THE INVENTION 
       [0004]    In accordance with one exemplary aspect of the instant invention, an article of manufacture having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in TABLE 1. Wherein 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. 
         [0005]    In accordance with another exemplary aspect of the instant invention, a compressor comprises a compressor wheel. The compressor wheel has a plurality of articles of manufacture. Each of the articles of manufacture includes an airfoil having an airfoil shape. The airfoil comprises a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in TABLE 1, wherein 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. 
         [0006]    In accordance with yet exemplary another aspect of the instant invention, a compressor comprises a compressor wheel having a plurality of articles of manufacture. Each of the articles of manufacture includes an airfoil having an uncoated nominal airfoil profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in TABLE 1, wherein 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. 
     
    
     
       BRIEF DESCRIPTION OF THE DRAWINGS 
         [0007]      FIG. 1  is a schematic exemplary representation of a compressor flow path through multiple stages of a gas turbine and illustrates an exemplary airfoil according to an embodiment of the invention; 
           [0008]      FIGS. 2 and 3  are respective perspective exemplary views of a rotor blade according to an embodiment of the invention with the rotor blade airfoil illustrated in conjunction with its platform and its substantially or near axial entry dovetail connection; 
           [0009]      FIGS. 4 and 5  are side elevational views of the rotor blade of  FIG. 2  and associated platform and dovetail connection as viewed in a generally circumferential direction from the pressure and suction sides of the airfoil, respectively; 
           [0010]      FIG. 6  is a cross-sectional view of the rotor blade airfoil taken generally about on line  6 - 6  in  FIG. 5 ; 
           [0011]      FIG. 7  is a perspective views of a rotor blade according to an exemplary embodiment of the invention with coordinate system superimposed thereon; and 
           [0012]      FIG. 8  is a perspective view of a stator blade according to an exemplary embodiment of the invention with coordinate system superimposed thereon. 
       
    
    
     DETAILED DESCRIPTION OF THE INVENTION 
       [0013]    Referring now to the drawings,  FIG. 1  illustrates an axial compressor flow path  1  of a gas turbine compressor  2  that includes a plurality of compressor stages. The compressor stages are sequentially numbered in the Figure. The compressor flow path comprises any number of rotor stages and stator stages, such as eighteen. However, the exact number of rotor and stator stages is a choice of engineering design. Any number of rotor and stator stages can be provided in the combustor, as embodied by the invention. The seventeen rotor stages are merely exemplary of one turbine design. The eighteen rotor stages are not intended to limit the invention in any manner. 
         [0014]    The compressor rotor blades impart kinetic energy to the airflow and therefore bring about a desired pressure rise across the compressor. Directly following the rotor airfoils is a stage of stator airfoils. Both the rotor and stator airfoils turn the airflow, slow the airflow velocity (in the respective airfoil frame of reference), and yield a rise in the static pressure of the airflow. The configuration of the airfoil (along with its interaction with surrounding airfoils), including its peripheral surface provides for stage airflow efficiency, enhanced aeromechanics, smooth laminar flow from stage to stage, reduced thermal stresses, enhanced interrelation of the stages to effectively pass the airflow from stage to stage, and reduced mechanical stresses, among other desirable aspects of the invention. Typically, multiple rows of rotor/stator stages are stacked in axial flow compressors to achieve a desired discharge to inlet pressure ratio. Rotor and stator airfoils can be secured to rotor wheels or stator case by an appropriate attachment configuration, often known as a “root”, “base” or “dovetail” (see  FIGS. 2-5 ). 
         [0015]    A stage of the compressor  2  is exemplarily illustrated in  FIG. 1 . The stage of the compressor  2  comprises a plurality of circumferentially spaced rotor blades  22  mounted on a rotor wheel  51  and a plurality of circumferentially spaced stator blades  23  attached to a static compressor case  59 . Each of the rotor wheels is attached to aft drive shaft  58 , which is connected to the turbine section of the engine. The rotor blades and stator blades lie in the flow path  1  of the compressor. The direction of airflow through the compressor flow path  1 , as embodied by the invention, is indicated by the arrow  60  ( FIG. 1 ). This stage of the compressor  2  is merely exemplarily of the stages of the compressor  2  within the scope of the invention. The illustrated and described stage of the compressor  2  is not intended to limit the invention in any manner. 
         [0016]    The rotor blades  22  are mounted on the rotor wheel  51  forming part of aft drive shaft  58 . Each rotor blade  22 , as illustrated in  FIGS. 2-6 , is provided with a platform  61 , and substantially or near axial entry dovetail  62  for connection with a complementary-shaped mating dovetail, not shown, on the rotor wheel  51 . An axial entry dovetail, however, may be provided with the airfoil profile, as embodied by the invention. Each rotor blade  22  comprises a rotor blade airfoil  63 , as illustrated in  FIGS. 2-6 . Thus, each of the rotor blades  22  has a rotor blade airfoil profile  66  at any cross-section from the airfoil root  64  at a midpoint of platform  61  to the rotor blade tip  65  in the general shape of an airfoil ( FIG. 6 ). 
         [0017]    To define the airfoil shape of the rotor blade airfoil, a unique set or loci of points in space are provided. This unique set or loci of points meet the stage requirements so the stage can be manufactured. This unique loci of points also meets the desired requirements for stage efficiency and reduced thermal and mechanical stresses. The loci of points are arrived at by iteration between aerodynamic and mechanical loadings enabling the compressor to run in an efficient, safe and smooth manner. 
         [0018]    The loci, as embodied by the invention, defines the rotor blade airfoil profile and can comprise a set of points relative to the axis of rotation of the engine. For example, a set of points can be provided to define a rotor blade airfoil profile. 
         [0019]    A Cartesian coordinate system of X, Y and Z values given in the Table below defines a profile of a rotor blade airfoil at various locations along its length. The airfoil, as embodied by the invention, could find an application as a an inlet guide vane airfoil. The coordinate values for the X, Y and Z coordinates are set forth in inches, although other units of dimensions may be used when the values are appropriately converted. These values exclude fillet regions of the platform. The Cartesian coordinate system has orthogonally-related X, Y and Z axes. The X axis lies parallel to the compressor blade&#39;s dovetail axis, which is at a angle to the engine&#39;s centerline, as illustrated in  FIG. 7  for a rotor and  FIG. 8  for a stator. A positive X coordinate value is axial toward the aft, for example the exhaust end of the compressor. A positive Y coordinate value directed normal to the dovetail axis. A positive Z coordinate value is directed radially outward toward tip of the airfoil, which is towards the static casing of the compressor for rotor blades, and directed radially inward towards the engine centerline of the compressor for stator blades. 
         [0020]    For reference purposes only, there is established point- 0  passing through the intersection of the airfoil and the platform along the stacking axis, as illustrated in  FIG. 5 . In the exemplary embodiment of the airfoil hereof, the point- 0  is defined as the reference section where the Z coordinate of the table above is at 0.000 inches, which is a set predetermined distance from the engine or rotor centerline. 
         [0021]    By defining X and Y coordinate values at selected locations in a Z direction normal to the X, Y plane, the profile section of the rotor blade airfoil, such as, but not limited to the profile section  66  in  FIG. 6 , at each Z distance along the length of the airfoil can be ascertained. By connecting the X and Y values with smooth continuing arcs, each profile section  66  at each distance Z can be fixed. The airfoil profiles of the various surface locations between the distances Z are determined by smoothly connecting the adjacent profile sections  66  to one another, thus forming the airfoil profile. These values represent the airfoil profiles at ambient, non-operating or non-hot conditions and are for an uncoated airfoil. 
         [0022]    The table values are generated and shown to three decimal places for determining the profile of the airfoil. There are typical manufacturing tolerances as well as coatings, which should be accounted for in the actual profile of the airfoil. Accordingly, the values for the profile given are for a nominal airfoil. It will therefore be appreciated that +/− typical manufacturing tolerances, such as, +/− values, including any coating thicknesses, are additive to the X and Y values. Therefore, a distance of about +/−0.160 inches in a direction normal to any surface location along the airfoil profile defines an airfoil profile envelope for a rotor blade airfoil design and compressor. In other words, a distance of about +/−0.160 inches in a direction normal to any surface location along the airfoil profile defines a range of variation between measured points on the actual airfoil surface at nominal cold or room temperature and the ideal position of those points, at the same temperature, as embodied by the invention. The rotor blade airfoil design, as embodied by the invention, is robust to this range of variation without impairment of mechanical and aerodynamic functions. 
         [0023]    The coordinate values given in TABLE 1 below provide the nominal profile envelope for an exemplary an inlet guide vane airfoil. 
         [0000]    
       
         
               
               
               
             
               
               
               
             
           
               
                 TABLE 1 
               
               
                   
               
               
                 X-LOC 
                 Y-LOC 
                 Z-LOC 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 −3.785 
                 0.373 
                 0 
               
               
                 −3.786 
                 0.374 
                 0 
               
               
                 −3.787 
                 0.377 
                 0 
               
               
                 −3.789 
                 0.384 
                 0 
               
               
                 −3.792 
                 0.397 
                 0 
               
               
                 −3.789 
                 0.417 
                 0 
               
               
                 −3.77 
                 0.449 
                 0 
               
               
                 −3.738 
                 0.487 
                 0 
               
               
                 −3.688 
                 0.529 
                 0 
               
               
                 −3.619 
                 0.573 
                 0 
               
               
                 −3.523 
                 0.62 
                 0 
               
               
                 −3.408 
                 0.665 
                 0 
               
               
                 −3.283 
                 0.704 
                 0 
               
               
                 −3.139 
                 0.74 
                 0 
               
               
                 −2.978 
                 0.77 
                 0 
               
               
                 −2.799 
                 0.793 
                 0 
               
               
                 −2.611 
                 0.807 
                 0 
               
               
                 −2.414 
                 0.813 
                 0 
               
               
                 −2.209 
                 0.811 
                 0 
               
               
                 −1.998 
                 0.8 
                 0 
               
               
                 −1.781 
                 0.781 
                 0 
               
               
                 −1.557 
                 0.753 
                 0 
               
               
                 −1.327 
                 0.716 
                 0 
               
               
                 −1.091 
                 0.67 
                 0 
               
               
                 −0.856 
                 0.617 
                 0 
               
               
                 −0.623 
                 0.556 
                 0 
               
               
                 −0.392 
                 0.488 
                 0 
               
               
                 −0.162 
                 0.414 
                 0 
               
               
                 0.067 
                 0.335 
                 0 
               
               
                 0.294 
                 0.25 
                 0 
               
               
                 0.52 
                 0.16 
                 0 
               
               
                 0.745 
                 0.065 
                 0 
               
               
                 0.968 
                 −0.033 
                 0 
               
               
                 1.189 
                 −0.135 
                 0 
               
               
                 1.408 
                 −0.239 
                 0 
               
               
                 1.619 
                 −0.343 
                 0 
               
               
                 1.822 
                 −0.446 
                 0 
               
               
                 2.017 
                 −0.546 
                 0 
               
               
                 2.203 
                 −0.644 
                 0 
               
               
                 2.382 
                 −0.74 
                 0 
               
               
                 2.554 
                 −0.832 
                 0 
               
               
                 2.718 
                 −0.921 
                 0 
               
               
                 2.868 
                 −1.003 
                 0 
               
               
                 3.003 
                 −1.076 
                 0 
               
               
                 3.125 
                 −1.142 
                 0 
               
               
                 3.232 
                 −1.199 
                 0 
               
               
                 3.325 
                 −1.249 
                 0 
               
               
                 3.404 
                 −1.291 
                 0 
               
               
                 3.471 
                 −1.328 
                 0 
               
               
                 3.527 
                 −1.359 
                 0 
               
               
                 3.573 
                 −1.385 
                 0 
               
               
                 3.609 
                 −1.406 
                 0 
               
               
                 3.635 
                 −1.426 
                 0 
               
               
                 3.647 
                 −1.447 
                 0 
               
               
                 3.65 
                 −1.467 
                 0 
               
               
                 3.647 
                 −1.483 
                 0 
               
               
                 3.642 
                 −1.494 
                 0 
               
               
                 3.636 
                 −1.504 
                 0 
               
               
                 3.624 
                 −1.514 
                 0 
               
               
                 3.607 
                 −1.523 
                 0 
               
               
                 3.584 
                 −1.525 
                 0 
               
               
                 3.555 
                 −1.515 
                 0 
               
               
                 3.519 
                 −1.497 
                 0 
               
               
                 3.474 
                 −1.475 
                 0 
               
               
                 3.419 
                 −1.449 
                 0 
               
               
                 3.353 
                 −1.419 
                 0 
               
               
                 3.275 
                 −1.386 
                 0 
               
               
                 3.182 
                 −1.349 
                 0 
               
               
                 3.074 
                 −1.308 
                 0 
               
               
                 2.951 
                 −1.263 
                 0 
               
               
                 2.813 
                 −1.215 
                 0 
               
               
                 2.66 
                 −1.162 
                 0 
               
               
                 2.492 
                 −1.105 
                 0 
               
               
                 2.316 
                 −1.048 
                 0 
               
               
                 2.132 
                 −0.991 
                 0 
               
               
                 1.94 
                 −0.932 
                 0 
               
               
                 1.741 
                 −0.873 
                 0 
               
               
                 1.534 
                 −0.813 
                 0 
               
               
                 1.319 
                 −0.752 
                 0 
               
               
                 1.096 
                 −0.689 
                 0 
               
               
                 0.873 
                 −0.628 
                 0 
               
               
                 0.65 
                 −0.568 
                 0 
               
               
                 0.427 
                 −0.508 
                 0 
               
               
                 0.203 
                 −0.45 
                 0 
               
               
                 −0.02 
                 −0.392 
                 0 
               
               
                 −0.244 
                 −0.335 
                 0 
               
               
                 −0.468 
                 −0.278 
                 0 
               
               
                 −0.693 
                 −0.222 
                 0 
               
               
                 −0.917 
                 −0.167 
                 0 
               
               
                 −1.142 
                 −0.113 
                 0 
               
               
                 −1.367 
                 −0.059 
                 0 
               
               
                 −1.584 
                 −0.009 
                 0 
               
               
                 −1.795 
                 0.039 
                 0 
               
               
                 −1.998 
                 0.083 
                 0 
               
               
                 −2.194 
                 0.123 
                 0 
               
               
                 −2.383 
                 0.16 
                 0 
               
               
                 −2.565 
                 0.193 
                 0 
               
               
                 −2.74 
                 0.223 
                 0 
               
               
                 −2.908 
                 0.248 
                 0 
               
               
                 −3.061 
                 0.269 
                 0 
               
               
                 −3.198 
                 0.285 
                 0 
               
               
                 −3.321 
                 0.298 
                 0 
               
               
                 −3.436 
                 0.31 
                 0 
               
               
                 −3.536 
                 0.321 
                 0 
               
               
                 −3.612 
                 0.328 
                 0 
               
               
                 −3.674 
                 0.333 
                 0 
               
               
                 −3.72 
                 0.339 
                 0 
               
               
                 −3.754 
                 0.345 
                 0 
               
               
                 −3.77 
                 0.355 
                 0 
               
               
                 −3.779 
                 0.364 
                 0 
               
               
                 −3.782 
                 0.369 
                 0 
               
               
                 −3.784 
                 0.372 
                 0 
               
               
                 −3.671 
                 0.338 
                 2.629 
               
               
                 −3.672 
                 0.339 
                 2.629 
               
               
                 −3.673 
                 0.342 
                 2.629 
               
               
                 −3.675 
                 0.348 
                 2.629 
               
               
                 −3.677 
                 0.361 
                 2.629 
               
               
                 −3.673 
                 0.38 
                 2.629 
               
               
                 −3.655 
                 0.41 
                 2.629 
               
               
                 −3.623 
                 0.446 
                 2.629 
               
               
                 −3.574 
                 0.485 
                 2.629 
               
               
                 −3.507 
                 0.526 
                 2.629 
               
               
                 −3.414 
                 0.569 
                 2.629 
               
               
                 −3.303 
                 0.61 
                 2.629 
               
               
                 −3.182 
                 0.646 
                 2.629 
               
               
                 −3.044 
                 0.679 
                 2.629 
               
               
                 −2.889 
                 0.707 
                 2.629 
               
               
                 −2.719 
                 0.728 
                 2.629 
               
               
                 −2.539 
                 0.742 
                 2.629 
               
               
                 −2.351 
                 0.748 
                 2.629 
               
               
                 −2.155 
                 0.747 
                 2.629 
               
               
                 −1.951 
                 0.739 
                 2.629 
               
               
                 −1.74 
                 0.723 
                 2.629 
               
               
                 −1.521 
                 0.699 
                 2.629 
               
               
                 −1.296 
                 0.666 
                 2.629 
               
               
                 −1.065 
                 0.626 
                 2.629 
               
               
                 −0.837 
                 0.578 
                 2.629 
               
               
                 −0.61 
                 0.524 
                 2.629 
               
               
                 −0.385 
                 0.464 
                 2.629 
               
               
                 −0.162 
                 0.398 
                 2.629 
               
               
                 0.06 
                 0.327 
                 2.629 
               
               
                 0.28 
                 0.251 
                 2.629 
               
               
                 0.499 
                 0.171 
                 2.629 
               
               
                 0.717 
                 0.087 
                 2.629 
               
               
                 0.934 
                 0 
                 2.629 
               
               
                 1.149 
                 −0.091 
                 2.629 
               
               
                 1.364 
                 −0.186 
                 2.629 
               
               
                 1.57 
                 −0.279 
                 2.629 
               
               
                 1.769 
                 −0.371 
                 2.629 
               
               
                 1.959 
                 −0.461 
                 2.629 
               
               
                 2.142 
                 −0.549 
                 2.629 
               
               
                 2.318 
                 −0.634 
                 2.629 
               
               
                 2.486 
                 −0.717 
                 2.629 
               
               
                 2.647 
                 −0.797 
                 2.629 
               
               
                 2.793 
                 −0.87 
                 2.629 
               
               
                 2.926 
                 −0.936 
                 2.629 
               
               
                 3.045 
                 −0.995 
                 2.629 
               
               
                 3.15 
                 −1.047 
                 2.629 
               
               
                 3.242 
                 −1.091 
                 2.629 
               
               
                 3.319 
                 −1.129 
                 2.629 
               
               
                 3.385 
                 −1.161 
                 2.629 
               
               
                 3.439 
                 −1.189 
                 2.629 
               
               
                 3.485 
                 −1.213 
                 2.629 
               
               
                 3.52 
                 −1.232 
                 2.629 
               
               
                 3.546 
                 −1.249 
                 2.629 
               
               
                 3.558 
                 −1.269 
                 2.629 
               
               
                 3.562 
                 −1.288 
                 2.629 
               
               
                 3.56 
                 −1.304 
                 2.629 
               
               
                 3.556 
                 −1.315 
                 2.629 
               
               
                 3.55 
                 −1.325 
                 2.629 
               
               
                 3.539 
                 −1.335 
                 2.629 
               
               
                 3.523 
                 −1.344 
                 2.629 
               
               
                 3.501 
                 −1.347 
                 2.629 
               
               
                 3.472 
                 −1.338 
                 2.629 
               
               
                 3.437 
                 −1.322 
                 2.629 
               
               
                 3.392 
                 −1.302 
                 2.629 
               
               
                 3.338 
                 −1.279 
                 2.629 
               
               
                 3.273 
                 −1.253 
                 2.629 
               
               
                 3.197 
                 −1.224 
                 2.629 
               
               
                 3.105 
                 −1.191 
                 2.629 
               
               
                 2.999 
                 −1.155 
                 2.629 
               
               
                 2.879 
                 −1.117 
                 2.629 
               
               
                 2.744 
                 −1.074 
                 2.629 
               
               
                 2.594 
                 −1.028 
                 2.629 
               
               
                 2.43 
                 −0.98 
                 2.629 
               
               
                 2.258 
                 −0.93 
                 2.629 
               
               
                 2.078 
                 −0.881 
                 2.629 
               
               
                 1.891 
                 −0.831 
                 2.629 
               
               
                 1.696 
                 −0.78 
                 2.629 
               
               
                 1.494 
                 −0.729 
                 2.629 
               
               
                 1.284 
                 −0.677 
                 2.629 
               
               
                 1.067 
                 −0.624 
                 2.629 
               
               
                 0.849 
                 −0.572 
                 2.629 
               
               
                 0.632 
                 −0.52 
                 2.629 
               
               
                 0.414 
                 −0.47 
                 2.629 
               
               
                 0.196 
                 −0.419 
                 2.629 
               
               
                 −0.022 
                 −0.37 
                 2.629 
               
               
                 −0.24 
                 −0.321 
                 2.629 
               
               
                 −0.458 
                 −0.272 
                 2.629 
               
               
                 −0.677 
                 −0.223 
                 2.629 
               
               
                 −0.895 
                 −0.175 
                 2.629 
               
               
                 −1.113 
                 −0.128 
                 2.629 
               
               
                 −1.332 
                 −0.08 
                 2.629 
               
               
                 −1.543 
                 −0.035 
                 2.629 
               
               
                 −1.748 
                 0.007 
                 2.629 
               
               
                 −1.945 
                 0.047 
                 2.629 
               
               
                 −2.135 
                 0.083 
                 2.629 
               
               
                 −2.319 
                 0.117 
                 2.629 
               
               
                 −2.495 
                 0.148 
                 2.629 
               
               
                 −2.664 
                 0.176 
                 2.629 
               
               
                 −2.826 
                 0.201 
                 2.629 
               
               
                 −2.974 
                 0.222 
                 2.629 
               
               
                 −3.107 
                 0.239 
                 2.629 
               
               
                 −3.225 
                 0.253 
                 2.629 
               
               
                 −3.336 
                 0.266 
                 2.629 
               
               
                 −3.432 
                 0.278 
                 2.629 
               
               
                 −3.506 
                 0.287 
                 2.629 
               
               
                 −3.565 
                 0.294 
                 2.629 
               
               
                 −3.61 
                 0.302 
                 2.629 
               
               
                 −3.642 
                 0.31 
                 2.629 
               
               
                 −3.658 
                 0.32 
                 2.629 
               
               
                 −3.666 
                 0.329 
                 2.629 
               
               
                 −3.669 
                 0.334 
                 2.629 
               
               
                 −3.67 
                 0.336 
                 2.629 
               
               
                 −3.558 
                 0.301 
                 5.259 
               
               
                 −3.558 
                 0.303 
                 5.259 
               
               
                 −3.559 
                 0.305 
                 5.259 
               
               
                 −3.561 
                 0.311 
                 5.259 
               
               
                 −3.563 
                 0.323 
                 5.259 
               
               
                 −3.559 
                 0.342 
                 5.259 
               
               
                 −3.54 
                 0.37 
                 5.259 
               
               
                 −3.51 
                 0.404 
                 5.259 
               
               
                 −3.461 
                 0.44 
                 5.259 
               
               
                 −3.396 
                 0.477 
                 5.259 
               
               
                 −3.307 
                 0.517 
                 5.259 
               
               
                 −3.2 
                 0.554 
                 5.259 
               
               
                 −3.084 
                 0.588 
                 5.259 
               
               
                 −2.952 
                 0.618 
                 5.259 
               
               
                 −2.804 
                 0.643 
                 5.259 
               
               
                 −2.64 
                 0.663 
                 5.259 
               
               
                 −2.467 
                 0.677 
                 5.259 
               
               
                 −2.287 
                 0.684 
                 5.259 
               
               
                 −2.099 
                 0.685 
                 5.259 
               
               
                 −1.903 
                 0.678 
                 5.259 
               
               
                 −1.701 
                 0.665 
                 5.259 
               
               
                 −1.492 
                 0.646 
                 5.259 
               
               
                 −1.277 
                 0.619 
                 5.259 
               
               
                 −1.056 
                 0.585 
                 5.259 
               
               
                 −0.837 
                 0.544 
                 5.259 
               
               
                 −0.619 
                 0.498 
                 5.259 
               
               
                 −0.402 
                 0.446 
                 5.259 
               
               
                 −0.186 
                 0.389 
                 5.259 
               
               
                 0.029 
                 0.327 
                 5.259 
               
               
                 0.243 
                 0.261 
                 5.259 
               
               
                 0.456 
                 0.191 
                 5.259 
               
               
                 0.668 
                 0.117 
                 5.259 
               
               
                 0.879 
                 0.04 
                 5.259 
               
               
                 1.088 
                 −0.04 
                 5.259 
               
               
                 1.297 
                 −0.122 
                 5.259 
               
               
                 1.498 
                 −0.204 
                 5.259 
               
               
                 1.691 
                 −0.285 
                 5.259 
               
               
                 1.877 
                 −0.364 
                 5.259 
               
               
                 2.056 
                 −0.441 
                 5.259 
               
               
                 2.227 
                 −0.517 
                 5.259 
               
               
                 2.391 
                 −0.589 
                 5.259 
               
               
                 2.549 
                 −0.659 
                 5.259 
               
               
                 2.692 
                 −0.723 
                 5.259 
               
               
                 2.822 
                 −0.781 
                 5.259 
               
               
                 2.938 
                 −0.832 
                 5.259 
               
               
                 3.041 
                 −0.877 
                 5.259 
               
               
                 3.131 
                 −0.916 
                 5.259 
               
               
                 3.206 
                 −0.949 
                 5.259 
               
               
                 3.271 
                 −0.977 
                 5.259 
               
               
                 3.325 
                 −1.001 
                 5.259 
               
               
                 3.369 
                 −1.022 
                 5.259 
               
               
                 3.404 
                 −1.038 
                 5.259 
               
               
                 3.43 
                 −1.054 
                 5.259 
               
               
                 3.442 
                 −1.072 
                 5.259 
               
               
                 3.446 
                 −1.09 
                 5.259 
               
               
                 3.445 
                 −1.105 
                 5.259 
               
               
                 3.442 
                 −1.116 
                 5.259 
               
               
                 3.436 
                 −1.126 
                 5.259 
               
               
                 3.427 
                 −1.137 
                 5.259 
               
               
                 3.411 
                 −1.146 
                 5.259 
               
               
                 3.389 
                 −1.15 
                 5.259 
               
               
                 3.362 
                 −1.142 
                 5.259 
               
               
                 3.327 
                 −1.129 
                 5.259 
               
               
                 3.283 
                 −1.112 
                 5.259 
               
               
                 3.23 
                 −1.092 
                 5.259 
               
               
                 3.166 
                 −1.07 
                 5.259 
               
               
                 3.091 
                 −1.046 
                 5.259 
               
               
                 3.002 
                 −1.018 
                 5.259 
               
               
                 2.899 
                 −0.988 
                 5.259 
               
               
                 2.781 
                 −0.956 
                 5.259 
               
               
                 2.649 
                 −0.921 
                 5.259 
               
               
                 2.503 
                 −0.883 
                 5.259 
               
               
                 2.343 
                 −0.843 
                 5.259 
               
               
                 2.176 
                 −0.803 
                 5.259 
               
               
                 2.001 
                 −0.762 
                 5.259 
               
               
                 1.819 
                 −0.722 
                 5.259 
               
               
                 1.63 
                 −0.681 
                 5.259 
               
               
                 1.433 
                 −0.639 
                 5.259 
               
               
                 1.229 
                 −0.596 
                 5.259 
               
               
                 1.018 
                 −0.553 
                 5.259 
               
               
                 0.807 
                 −0.511 
                 5.259 
               
               
                 0.596 
                 −0.469 
                 5.259 
               
               
                 0.385 
                 −0.427 
                 5.259 
               
               
                 0.174 
                 −0.386 
                 5.259 
               
               
                 −0.038 
                 −0.345 
                 5.259 
               
               
                 −0.249 
                 −0.304 
                 5.259 
               
               
                 −0.461 
                 −0.263 
                 5.259 
               
               
                 −0.672 
                 −0.222 
                 5.259 
               
               
                 −0.883 
                 −0.182 
                 5.259 
               
               
                 −1.095 
                 −0.141 
                 5.259 
               
               
                 −1.306 
                 −0.1 
                 5.259 
               
               
                 −1.511 
                 −0.061 
                 5.259 
               
               
                 −1.708 
                 −0.024 
                 5.259 
               
               
                 −1.899 
                 0.012 
                 5.259 
               
               
                 −2.082 
                 0.045 
                 5.259 
               
               
                 −2.259 
                 0.075 
                 5.259 
               
               
                 −2.429 
                 0.104 
                 5.259 
               
               
                 −2.592 
                 0.13 
                 5.259 
               
               
                 −2.748 
                 0.154 
                 5.259 
               
               
                 −2.89 
                 0.174 
                 5.259 
               
               
                 −3.018 
                 0.192 
                 5.259 
               
               
                 −3.132 
                 0.206 
                 5.259 
               
               
                 −3.238 
                 0.221 
                 5.259 
               
               
                 −3.331 
                 0.234 
                 5.259 
               
               
                 −3.402 
                 0.245 
                 5.259 
               
               
                 −3.458 
                 0.254 
                 5.259 
               
               
                 −3.5 
                 0.263 
                 5.259 
               
               
                 −3.531 
                 0.273 
                 5.259 
               
               
                 −3.546 
                 0.283 
                 5.259 
               
               
                 −3.553 
                 0.292 
                 5.259 
               
               
                 −3.556 
                 0.297 
                 5.259 
               
               
                 −3.557 
                 0.3 
                 5.259 
               
               
                 −3.442 
                 0.262 
                 7.888 
               
               
                 −3.442 
                 0.263 
                 7.888 
               
               
                 −3.443 
                 0.266 
                 7.888 
               
               
                 −3.445 
                 0.272 
                 7.888 
               
               
                 −3.446 
                 0.283 
                 7.888 
               
               
                 −3.442 
                 0.301 
                 7.888 
               
               
                 −3.423 
                 0.328 
                 7.888 
               
               
                 −3.393 
                 0.359 
                 7.888 
               
               
                 −3.346 
                 0.392 
                 7.888 
               
               
                 −3.283 
                 0.426 
                 7.888 
               
               
                 −3.197 
                 0.462 
                 7.888 
               
               
                 −3.094 
                 0.497 
                 7.888 
               
               
                 −2.983 
                 0.527 
                 7.888 
               
               
                 −2.857 
                 0.555 
                 7.888 
               
               
                 −2.715 
                 0.579 
                 7.888 
               
               
                 −2.558 
                 0.598 
                 7.888 
               
               
                 −2.393 
                 0.611 
                 7.888 
               
               
                 −2.221 
                 0.619 
                 7.888 
               
               
                 −2.041 
                 0.621 
                 7.888 
               
               
                 −1.854 
                 0.618 
                 7.888 
               
               
                 −1.661 
                 0.608 
                 7.888 
               
               
                 −1.461 
                 0.593 
                 7.888 
               
               
                 −1.255 
                 0.571 
                 7.888 
               
               
                 −1.042 
                 0.543 
                 7.888 
               
               
                 −0.831 
                 0.51 
                 7.888 
               
               
                 −0.622 
                 0.471 
                 7.888 
               
               
                 −0.413 
                 0.427 
                 7.888 
               
               
                 −0.204 
                 0.378 
                 7.888 
               
               
                 0.003 
                 0.326 
                 7.888 
               
               
                 0.209 
                 0.269 
                 7.888 
               
               
                 0.415 
                 0.209 
                 7.888 
               
               
                 0.621 
                 0.145 
                 7.888 
               
               
                 0.825 
                 0.079 
                 7.888 
               
               
                 1.028 
                 0.01 
                 7.888 
               
               
                 1.231 
                 −0.062 
                 7.888 
               
               
                 1.426 
                 −0.132 
                 7.888 
               
               
                 1.614 
                 −0.202 
                 7.888 
               
               
                 1.794 
                 −0.271 
                 7.888 
               
               
                 1.968 
                 −0.338 
                 7.888 
               
               
                 2.135 
                 −0.403 
                 7.888 
               
               
                 2.295 
                 −0.466 
                 7.888 
               
               
                 2.448 
                 −0.526 
                 7.888 
               
               
                 2.588 
                 −0.581 
                 7.888 
               
               
                 2.714 
                 −0.631 
                 7.888 
               
               
                 2.828 
                 −0.675 
                 7.888 
               
               
                 2.928 
                 −0.713 
                 7.888 
               
               
                 3.015 
                 −0.746 
                 7.888 
               
               
                 3.089 
                 −0.774 
                 7.888 
               
               
                 3.152 
                 −0.798 
                 7.888 
               
               
                 3.204 
                 −0.819 
                 7.888 
               
               
                 3.248 
                 −0.836 
                 7.888 
               
               
                 3.282 
                 −0.85 
                 7.888 
               
               
                 3.307 
                 −0.864 
                 7.888 
               
               
                 3.32 
                 −0.881 
                 7.888 
               
               
                 3.325 
                 −0.898 
                 7.888 
               
               
                 3.325 
                 −0.912 
                 7.888 
               
               
                 3.322 
                 −0.923 
                 7.888 
               
               
                 3.317 
                 −0.932 
                 7.888 
               
               
                 3.309 
                 −0.943 
                 7.888 
               
               
                 3.295 
                 −0.953 
                 7.888 
               
               
                 3.275 
                 −0.958 
                 7.888 
               
               
                 3.248 
                 −0.953 
                 7.888 
               
               
                 3.214 
                 −0.941 
                 7.888 
               
               
                 3.171 
                 −0.927 
                 7.888 
               
               
                 3.119 
                 −0.911 
                 7.888 
               
               
                 3.057 
                 −0.893 
                 7.888 
               
               
                 2.983 
                 −0.873 
                 7.888 
               
               
                 2.896 
                 −0.851 
                 7.888 
               
               
                 2.796 
                 −0.826 
                 7.888 
               
               
                 2.681 
                 −0.801 
                 7.888 
               
               
                 2.553 
                 −0.773 
                 7.888 
               
               
                 2.411 
                 −0.743 
                 7.888 
               
               
                 2.256 
                 −0.711 
                 7.888 
               
               
                 2.093 
                 −0.679 
                 7.888 
               
               
                 1.924 
                 −0.648 
                 7.888 
               
               
                 1.747 
                 −0.616 
                 7.888 
               
               
                 1.563 
                 −0.584 
                 7.888 
               
               
                 1.373 
                 −0.552 
                 7.888 
               
               
                 1.175 
                 −0.519 
                 7.888 
               
               
                 0.971 
                 −0.485 
                 7.888 
               
               
                 0.767 
                 −0.452 
                 7.888 
               
               
                 0.562 
                 −0.419 
                 7.888 
               
               
                 0.358 
                 −0.387 
                 7.888 
               
               
                 0.153 
                 −0.354 
                 7.888 
               
               
                 −0.051 
                 −0.321 
                 7.888 
               
               
                 −0.256 
                 −0.289 
                 7.888 
               
               
                 −0.46 
                 −0.256 
                 7.888 
               
               
                 −0.664 
                 −0.223 
                 7.888 
               
               
                 −0.869 
                 −0.189 
                 7.888 
               
               
                 −1.073 
                 −0.155 
                 7.888 
               
               
                 −1.277 
                 −0.121 
                 7.888 
               
               
                 −1.475 
                 −0.087 
                 7.888 
               
               
                 −1.665 
                 −0.055 
                 7.888 
               
               
                 −1.849 
                 −0.024 
                 7.888 
               
               
                 −2.026 
                 0.005 
                 7.888 
               
               
                 −2.196 
                 0.032 
                 7.888 
               
               
                 −2.36 
                 0.058 
                 7.888 
               
               
                 −2.517 
                 0.082 
                 7.888 
               
               
                 −2.667 
                 0.105 
                 7.888 
               
               
                 −2.804 
                 0.125 
                 7.888 
               
               
                 −2.927 
                 0.143 
                 7.888 
               
               
                 −3.036 
                 0.158 
                 7.888 
               
               
                 −3.138 
                 0.173 
                 7.888 
               
               
                 −3.227 
                 0.188 
                 7.888 
               
               
                 −3.295 
                 0.2 
                 7.888 
               
               
                 −3.349 
                 0.211 
                 7.888 
               
               
                 −3.389 
                 0.222 
                 7.888 
               
               
                 −3.418 
                 0.233 
                 7.888 
               
               
                 −3.431 
                 0.244 
                 7.888 
               
               
                 −3.438 
                 0.253 
                 7.888 
               
               
                 −3.44 
                 0.258 
                 7.888 
               
               
                 −3.441 
                 0.261 
                 7.888 
               
               
                 −3.324 
                 0.223 
                 10.518 
               
               
                 −3.324 
                 0.225 
                 10.518 
               
               
                 −3.325 
                 0.227 
                 10.518 
               
               
                 −3.326 
                 0.233 
                 10.518 
               
               
                 −3.326 
                 0.244 
                 10.518 
               
               
                 −3.322 
                 0.261 
                 10.518 
               
               
                 −3.304 
                 0.286 
                 10.518 
               
               
                 −3.274 
                 0.314 
                 10.518 
               
               
                 −3.229 
                 0.345 
                 10.518 
               
               
                 −3.167 
                 0.375 
                 10.518 
               
               
                 −3.085 
                 0.408 
                 10.518 
               
               
                 −2.987 
                 0.44 
                 10.518 
               
               
                 −2.881 
                 0.468 
                 10.518 
               
               
                 −2.76 
                 0.493 
                 10.518 
               
               
                 −2.625 
                 0.515 
                 10.518 
               
               
                 −2.476 
                 0.533 
                 10.518 
               
               
                 −2.319 
                 0.546 
                 10.518 
               
               
                 −2.155 
                 0.555 
                 10.518 
               
               
                 −1.984 
                 0.559 
                 10.518 
               
               
                 −1.806 
                 0.558 
                 10.518 
               
               
                 −1.621 
                 0.552 
                 10.518 
               
               
                 −1.43 
                 0.541 
                 10.518 
               
               
                 −1.232 
                 0.524 
                 10.518 
               
               
                 −1.029 
                 0.502 
                 10.518 
               
               
                 −0.825 
                 0.475 
                 10.518 
               
               
                 −0.622 
                 0.443 
                 10.518 
               
               
                 −0.421 
                 0.406 
                 10.518 
               
               
                 −0.22 
                 0.366 
                 10.518 
               
               
                 −0.019 
                 0.321 
                 10.518 
               
               
                 0.18 
                 0.274 
                 10.518 
               
               
                 0.379 
                 0.223 
                 10.518 
               
               
                 0.577 
                 0.169 
                 10.518 
               
               
                 0.774 
                 0.113 
                 10.518 
               
               
                 0.971 
                 0.055 
                 10.518 
               
               
                 1.167 
                 −0.006 
                 10.518 
               
               
                 1.356 
                 −0.066 
                 10.518 
               
               
                 1.538 
                 −0.125 
                 10.518 
               
               
                 1.713 
                 −0.183 
                 10.518 
               
               
                 1.881 
                 −0.24 
                 10.518 
               
               
                 2.043 
                 −0.295 
                 10.518 
               
               
                 2.199 
                 −0.348 
                 10.518 
               
               
                 2.347 
                 −0.399 
                 10.518 
               
               
                 2.483 
                 −0.446 
                 10.518 
               
               
                 2.606 
                 −0.488 
                 10.518 
               
               
                 2.716 
                 −0.525 
                 10.518 
               
               
                 2.814 
                 −0.557 
                 10.518 
               
               
                 2.898 
                 −0.585 
                 10.518 
               
               
                 2.97 
                 −0.608 
                 10.518 
               
               
                 3.031 
                 −0.628 
                 10.518 
               
               
                 3.082 
                 −0.645 
                 10.518 
               
               
                 3.125 
                 −0.659 
                 10.518 
               
               
                 3.158 
                 −0.67 
                 10.518 
               
               
                 3.183 
                 −0.682 
                 10.518 
               
               
                 3.196 
                 −0.698 
                 10.518 
               
               
                 3.201 
                 −0.714 
                 10.518 
               
               
                 3.202 
                 −0.728 
                 10.518 
               
               
                 3.2 
                 −0.738 
                 10.518 
               
               
                 3.196 
                 −0.747 
                 10.518 
               
               
                 3.188 
                 −0.758 
                 10.518 
               
               
                 3.175 
                 −0.768 
                 10.518 
               
               
                 3.157 
                 −0.774 
                 10.518 
               
               
                 3.131 
                 −0.77 
                 10.518 
               
               
                 3.097 
                 −0.761 
                 10.518 
               
               
                 3.056 
                 −0.75 
                 10.518 
               
               
                 3.005 
                 −0.738 
                 10.518 
               
               
                 2.944 
                 −0.723 
                 10.518 
               
               
                 2.873 
                 −0.707 
                 10.518 
               
               
                 2.789 
                 −0.69 
                 10.518 
               
               
                 2.691 
                 −0.671 
                 10.518 
               
               
                 2.58 
                 −0.652 
                 10.518 
               
               
                 2.456 
                 −0.631 
                 10.518 
               
               
                 2.318 
                 −0.608 
                 10.518 
               
               
                 2.167 
                 −0.585 
                 10.518 
               
               
                 2.01 
                 −0.561 
                 10.518 
               
               
                 1.846 
                 −0.538 
                 10.518 
               
               
                 1.675 
                 −0.515 
                 10.518 
               
               
                 1.497 
                 −0.492 
                 10.518 
               
               
                 1.313 
                 −0.468 
                 10.518 
               
               
                 1.122 
                 −0.444 
                 10.518 
               
               
                 0.925 
                 −0.42 
                 10.518 
               
               
                 0.727 
                 −0.396 
                 10.518 
               
               
                 0.53 
                 −0.372 
                 10.518 
               
               
                 0.332 
                 −0.348 
                 10.518 
               
               
                 0.135 
                 −0.323 
                 10.518 
               
               
                 −0.062 
                 −0.299 
                 10.518 
               
               
                 −0.26 
                 −0.274 
                 10.518 
               
               
                 −0.457 
                 −0.248 
                 10.518 
               
               
                 −0.654 
                 −0.222 
                 10.518 
               
               
                 −0.852 
                 −0.195 
                 10.518 
               
               
                 −1.049 
                 −0.168 
                 10.518 
               
               
                 −1.245 
                 −0.14 
                 10.518 
               
               
                 −1.436 
                 −0.112 
                 10.518 
               
               
                 −1.619 
                 −0.085 
                 10.518 
               
               
                 −1.797 
                 −0.058 
                 10.518 
               
               
                 −1.967 
                 −0.033 
                 10.518 
               
               
                 −2.131 
                 −0.008 
                 10.518 
               
               
                 −2.289 
                 0.015 
                 10.518 
               
               
                 −2.439 
                 0.038 
                 10.518 
               
               
                 −2.584 
                 0.059 
                 10.518 
               
               
                 −2.715 
                 0.079 
                 10.518 
               
               
                 −2.833 
                 0.096 
                 10.518 
               
               
                 −2.938 
                 0.112 
                 10.518 
               
               
                 −3.036 
                 0.128 
                 10.518 
               
               
                 −3.121 
                 0.143 
                 10.518 
               
               
                 −3.186 
                 0.157 
                 10.518 
               
               
                 −3.237 
                 0.17 
                 10.518 
               
               
                 −3.275 
                 0.182 
                 10.518 
               
               
                 −3.302 
                 0.194 
                 10.518 
               
               
                 −3.314 
                 0.206 
                 10.518 
               
               
                 −3.32 
                 0.215 
                 10.518 
               
               
                 −3.322 
                 0.219 
                 10.518 
               
               
                 −3.323 
                 0.222 
                 10.518 
               
               
                 −3.2 
                 0.187 
                 13.147 
               
               
                 −3.201 
                 0.188 
                 13.147 
               
               
                 −3.201 
                 0.19 
                 13.147 
               
               
                 −3.202 
                 0.196 
                 13.147 
               
               
                 −3.202 
                 0.206 
                 13.147 
               
               
                 −3.197 
                 0.222 
                 13.147 
               
               
                 −3.179 
                 0.245 
                 13.147 
               
               
                 −3.15 
                 0.271 
                 13.147 
               
               
                 −3.105 
                 0.299 
                 13.147 
               
               
                 −3.046 
                 0.326 
                 13.147 
               
               
                 −2.966 
                 0.356 
                 13.147 
               
               
                 −2.871 
                 0.385 
                 13.147 
               
               
                 −2.77 
                 0.41 
                 13.147 
               
               
                 −2.654 
                 0.433 
                 13.147 
               
               
                 −2.524 
                 0.453 
                 13.147 
               
               
                 −2.381 
                 0.47 
                 13.147 
               
               
                 −2.23 
                 0.483 
                 13.147 
               
               
                 −2.073 
                 0.492 
                 13.147 
               
               
                 −1.91 
                 0.497 
                 13.147 
               
               
                 −1.74 
                 0.498 
                 13.147 
               
               
                 −1.564 
                 0.494 
                 13.147 
               
               
                 −1.382 
                 0.486 
                 13.147 
               
               
                 −1.194 
                 0.474 
                 13.147 
               
               
                 −1 
                 0.457 
                 13.147 
               
               
                 −0.807 
                 0.436 
                 13.147 
               
               
                 −0.614 
                 0.41 
                 13.147 
               
               
                 −0.422 
                 0.381 
                 13.147 
               
               
                 −0.23 
                 0.348 
                 13.147 
               
               
                 −0.038 
                 0.312 
                 13.147 
               
               
                 0.153 
                 0.273 
                 13.147 
               
               
                 0.344 
                 0.231 
                 13.147 
               
               
                 0.534 
                 0.187 
                 13.147 
               
               
                 0.724 
                 0.14 
                 13.147 
               
               
                 0.914 
                 0.092 
                 13.147 
               
               
                 1.103 
                 0.041 
                 13.147 
               
               
                 1.285 
                 −0.009 
                 13.147 
               
               
                 1.461 
                 −0.058 
                 13.147 
               
               
                 1.631 
                 −0.107 
                 13.147 
               
               
                 1.793 
                 −0.154 
                 13.147 
               
               
                 1.95 
                 −0.2 
                 13.147 
               
               
                 2.1 
                 −0.244 
                 13.147 
               
               
                 2.244 
                 −0.286 
                 13.147 
               
               
                 2.376 
                 −0.324 
                 13.147 
               
               
                 2.495 
                 −0.359 
                 13.147 
               
               
                 2.601 
                 −0.389 
                 13.147 
               
               
                 2.696 
                 −0.416 
                 13.147 
               
               
                 2.777 
                 −0.438 
                 13.147 
               
               
                 2.847 
                 −0.457 
                 13.147 
               
               
                 2.906 
                 −0.473 
                 13.147 
               
               
                 2.955 
                 −0.487 
                 13.147 
               
               
                 2.996 
                 −0.498 
                 13.147 
               
               
                 3.029 
                 −0.507 
                 13.147 
               
               
                 3.053 
                 −0.517 
                 13.147 
               
               
                 3.066 
                 −0.532 
                 13.147 
               
               
                 3.072 
                 −0.547 
                 13.147 
               
               
                 3.073 
                 −0.56 
                 13.147 
               
               
                 3.072 
                 −0.57 
                 13.147 
               
               
                 3.069 
                 −0.579 
                 13.147 
               
               
                 3.062 
                 −0.59 
                 13.147 
               
               
                 3.049 
                 −0.6 
                 13.147 
               
               
                 3.031 
                 −0.606 
                 13.147 
               
               
                 3.006 
                 −0.604 
                 13.147 
               
               
                 2.974 
                 −0.597 
                 13.147 
               
               
                 2.933 
                 −0.589 
                 13.147 
               
               
                 2.884 
                 −0.579 
                 13.147 
               
               
                 2.825 
                 −0.568 
                 13.147 
               
               
                 2.756 
                 −0.556 
                 13.147 
               
               
                 2.675 
                 −0.543 
                 13.147 
               
               
                 2.58 
                 −0.53 
                 13.147 
               
               
                 2.473 
                 −0.516 
                 13.147 
               
               
                 2.353 
                 −0.501 
                 13.147 
               
               
                 2.221 
                 −0.485 
                 13.147 
               
               
                 2.075 
                 −0.469 
                 13.147 
               
               
                 1.923 
                 −0.453 
                 13.147 
               
               
                 1.765 
                 −0.437 
                 13.147 
               
               
                 1.601 
                 −0.421 
                 13.147 
               
               
                 1.43 
                 −0.406 
                 13.147 
               
               
                 1.252 
                 −0.39 
                 13.147 
               
               
                 1.069 
                 −0.374 
                 13.147 
               
               
                 0.879 
                 −0.358 
                 13.147 
               
               
                 0.689 
                 −0.341 
                 13.147 
               
               
                 0.499 
                 −0.325 
                 13.147 
               
               
                 0.309 
                 −0.308 
                 13.147 
               
               
                 0.119 
                 −0.291 
                 13.147 
               
               
                 −0.071 
                 −0.273 
                 13.147 
               
               
                 −0.261 
                 −0.255 
                 13.147 
               
               
                 −0.451 
                 −0.236 
                 13.147 
               
               
                 −0.641 
                 −0.217 
                 13.147 
               
               
                 −0.83 
                 −0.196 
                 13.147 
               
               
                 −1.02 
                 −0.174 
                 13.147 
               
               
                 −1.209 
                 −0.152 
                 13.147 
               
               
                 −1.392 
                 −0.129 
                 13.147 
               
               
                 −1.569 
                 −0.106 
                 13.147 
               
               
                 −1.739 
                 −0.084 
                 13.147 
               
               
                 −1.903 
                 −0.062 
                 13.147 
               
               
                 −2.06 
                 −0.041 
                 13.147 
               
               
                 −2.211 
                 −0.02 
                 13.147 
               
               
                 −2.356 
                 0 
                 13.147 
               
               
                 −2.494 
                 0.02 
                 13.147 
               
               
                 −2.62 
                 0.039 
                 13.147 
               
               
                 −2.733 
                 0.056 
                 13.147 
               
               
                 −2.834 
                 0.072 
                 13.147 
               
               
                 −2.928 
                 0.088 
                 13.147 
               
               
                 −3.009 
                 0.104 
                 13.147 
               
               
                 −3.071 
                 0.118 
                 13.147 
               
               
                 −3.12 
                 0.132 
                 13.147 
               
               
                 −3.156 
                 0.145 
                 13.147 
               
               
                 −3.181 
                 0.158 
                 13.147 
               
               
                 −3.192 
                 0.169 
                 13.147 
               
               
                 −3.197 
                 0.178 
                 13.147 
               
               
                 −3.199 
                 0.183 
                 13.147 
               
               
                 −3.2 
                 0.185 
                 13.147 
               
               
                 −3.072 
                 0.152 
                 15.777 
               
               
                 −3.072 
                 0.153 
                 15.777 
               
               
                 −3.072 
                 0.156 
                 15.777 
               
               
                 −3.073 
                 0.161 
                 15.777 
               
               
                 −3.072 
                 0.171 
                 15.777 
               
               
                 −3.067 
                 0.185 
                 15.777 
               
               
                 −3.048 
                 0.207 
                 15.777 
               
               
                 −3.019 
                 0.23 
                 15.777 
               
               
                 −2.976 
                 0.254 
                 15.777 
               
               
                 −2.919 
                 0.278 
                 15.777 
               
               
                 −2.843 
                 0.304 
                 15.777 
               
               
                 −2.753 
                 0.33 
                 15.777 
               
               
                 −2.656 
                 0.352 
                 15.777 
               
               
                 −2.547 
                 0.373 
                 15.777 
               
               
                 −2.424 
                 0.391 
                 15.777 
               
               
                 −2.288 
                 0.407 
                 15.777 
               
               
                 −2.146 
                 0.419 
                 15.777 
               
               
                 −1.997 
                 0.428 
                 15.777 
               
               
                 −1.842 
                 0.434 
                 15.777 
               
               
                 −1.681 
                 0.437 
                 15.777 
               
               
                 −1.514 
                 0.436 
                 15.777 
               
               
                 −1.34 
                 0.431 
                 15.777 
               
               
                 −1.16 
                 0.423 
                 15.777 
               
               
                 −0.975 
                 0.411 
                 15.777 
               
               
                 −0.789 
                 0.394 
                 15.777 
               
               
                 −0.604 
                 0.375 
                 15.777 
               
               
                 −0.42 
                 0.352 
                 15.777 
               
               
                 −0.236 
                 0.326 
                 15.777 
               
               
                 −0.052 
                 0.297 
                 15.777 
               
               
                 0.131 
                 0.266 
                 15.777 
               
               
                 0.314 
                 0.232 
                 15.777 
               
               
                 0.497 
                 0.196 
                 15.777 
               
               
                 0.679 
                 0.159 
                 15.777 
               
               
                 0.861 
                 0.119 
                 15.777 
               
               
                 1.042 
                 0.079 
                 15.777 
               
               
                 1.217 
                 0.038 
                 15.777 
               
               
                 1.386 
                 −0.002 
                 15.777 
               
               
                 1.549 
                 −0.041 
                 15.777 
               
               
                 1.705 
                 −0.079 
                 15.777 
               
               
                 1.856 
                 −0.116 
                 15.777 
               
               
                 2.001 
                 −0.152 
                 15.777 
               
               
                 2.139 
                 −0.186 
                 15.777 
               
               
                 2.266 
                 −0.217 
                 15.777 
               
               
                 2.38 
                 −0.245 
                 15.777 
               
               
                 2.483 
                 −0.269 
                 15.777 
               
               
                 2.573 
                 −0.29 
                 15.777 
               
               
                 2.652 
                 −0.308 
                 15.777 
               
               
                 2.718 
                 −0.322 
                 15.777 
               
               
                 2.775 
                 −0.335 
                 15.777 
               
               
                 2.823 
                 −0.345 
                 15.777 
               
               
                 2.863 
                 −0.354 
                 15.777 
               
               
                 2.894 
                 −0.361 
                 15.777 
               
               
                 2.917 
                 −0.37 
                 15.777 
               
               
                 2.931 
                 −0.383 
                 15.777 
               
               
                 2.937 
                 −0.397 
                 15.777 
               
               
                 2.939 
                 −0.409 
                 15.777 
               
               
                 2.938 
                 −0.419 
                 15.777 
               
               
                 2.935 
                 −0.427 
                 15.777 
               
               
                 2.929 
                 −0.438 
                 15.777 
               
               
                 2.918 
                 −0.449 
                 15.777 
               
               
                 2.901 
                 −0.456 
                 15.777 
               
               
                 2.877 
                 −0.455 
                 15.777 
               
               
                 2.846 
                 −0.45 
                 15.777 
               
               
                 2.807 
                 −0.444 
                 15.777 
               
               
                 2.759 
                 −0.437 
                 15.777 
               
               
                 2.703 
                 −0.429 
                 15.777 
               
               
                 2.636 
                 −0.42 
                 15.777 
               
               
                 2.558 
                 −0.411 
                 15.777 
               
               
                 2.467 
                 −0.402 
                 15.777 
               
               
                 2.364 
                 −0.393 
                 15.777 
               
               
                 2.249 
                 −0.383 
                 15.777 
               
               
                 2.122 
                 −0.373 
                 15.777 
               
               
                 1.982 
                 −0.363 
                 15.777 
               
               
                 1.836 
                 −0.353 
                 15.777 
               
               
                 1.685 
                 −0.344 
                 15.777 
               
               
                 1.527 
                 −0.335 
                 15.777 
               
               
                 1.363 
                 −0.326 
                 15.777 
               
               
                 1.193 
                 −0.317 
                 15.777 
               
               
                 1.017 
                 −0.308 
                 15.777 
               
               
                 0.835 
                 −0.298 
                 15.777 
               
               
                 0.652 
                 −0.288 
                 15.777 
               
               
                 0.47 
                 −0.278 
                 15.777 
               
               
                 0.288 
                 −0.268 
                 15.777 
               
               
                 0.106 
                 −0.257 
                 15.777 
               
               
                 −0.076 
                 −0.246 
                 15.777 
               
               
                 −0.258 
                 −0.233 
                 15.777 
               
               
                 −0.44 
                 −0.22 
                 15.777 
               
               
                 −0.622 
                 −0.206 
                 15.777 
               
               
                 −0.804 
                 −0.191 
                 15.777 
               
               
                 −0.985 
                 −0.175 
                 15.777 
               
               
                 −1.167 
                 −0.158 
                 15.777 
               
               
                 −1.342 
                 −0.14 
                 15.777 
               
               
                 −1.512 
                 −0.121 
                 15.777 
               
               
                 −1.675 
                 −0.103 
                 15.777 
               
               
                 −1.832 
                 −0.084 
                 15.777 
               
               
                 −1.983 
                 −0.066 
                 15.777 
               
               
                 −2.127 
                 −0.048 
                 15.777 
               
               
                 −2.266 
                 −0.03 
                 15.777 
               
               
                 −2.399 
                 −0.012 
                 15.777 
               
               
                 −2.519 
                 0.006 
                 15.777 
               
               
                 −2.627 
                 0.022 
                 15.777 
               
               
                 −2.723 
                 0.038 
                 15.777 
               
               
                 −2.813 
                 0.054 
                 15.777 
               
               
                 −2.891 
                 0.069 
                 15.777 
               
               
                 −2.95 
                 0.083 
                 15.777 
               
               
                 −2.996 
                 0.097 
                 15.777 
               
               
                 −3.03 
                 0.111 
                 15.777 
               
               
                 −3.054 
                 0.124 
                 15.777 
               
               
                 −3.065 
                 0.135 
                 15.777 
               
               
                 −3.069 
                 0.144 
                 15.777 
               
               
                 −3.071 
                 0.149 
                 15.777 
               
               
                 −3.071 
                 0.151 
                 15.777 
               
               
                 −2.939 
                 0.12 
                 18.406 
               
               
                 −2.939 
                 0.121 
                 18.406 
               
               
                 −2.939 
                 0.124 
                 18.406 
               
               
                 −2.939 
                 0.128 
                 18.406 
               
               
                 −2.938 
                 0.138 
                 18.406 
               
               
                 −2.932 
                 0.151 
                 18.406 
               
               
                 −2.913 
                 0.17 
                 18.406 
               
               
                 −2.885 
                 0.19 
                 18.406 
               
               
                 −2.843 
                 0.211 
                 18.406 
               
               
                 −2.788 
                 0.232 
                 18.406 
               
               
                 −2.714 
                 0.255 
                 18.406 
               
               
                 −2.629 
                 0.277 
                 18.406 
               
               
                 −2.537 
                 0.297 
                 18.406 
               
               
                 −2.432 
                 0.315 
                 18.406 
               
               
                 −2.316 
                 0.331 
                 18.406 
               
               
                 −2.187 
                 0.345 
                 18.406 
               
               
                 −2.052 
                 0.357 
                 18.406 
               
               
                 −1.911 
                 0.367 
                 18.406 
               
               
                 −1.765 
                 0.373 
                 18.406 
               
               
                 −1.612 
                 0.377 
                 18.406 
               
               
                 −1.453 
                 0.378 
                 18.406 
               
               
                 −1.288 
                 0.376 
                 18.406 
               
               
                 −1.117 
                 0.371 
                 18.406 
               
               
                 −0.941 
                 0.363 
                 18.406 
               
               
                 −0.765 
                 0.351 
                 18.406 
               
               
                 −0.589 
                 0.337 
                 18.406 
               
               
                 −0.414 
                 0.32 
                 18.406 
               
               
                 −0.238 
                 0.3 
                 18.406 
               
               
                 −0.063 
                 0.278 
                 18.406 
               
               
                 0.112 
                 0.254 
                 18.406 
               
               
                 0.286 
                 0.228 
                 18.406 
               
               
                 0.46 
                 0.201 
                 18.406 
               
               
                 0.634 
                 0.172 
                 18.406 
               
               
                 0.808 
                 0.141 
                 18.406 
               
               
                 0.981 
                 0.109 
                 18.406 
               
               
                 1.149 
                 0.078 
                 18.406 
               
               
                 1.311 
                 0.046 
                 18.406 
               
               
                 1.467 
                 0.016 
                 18.406 
               
               
                 1.617 
                 −0.014 
                 18.406 
               
               
                 1.761 
                 −0.043 
                 18.406 
               
               
                 1.899 
                 −0.07 
                 18.406 
               
               
                 2.032 
                 −0.097 
                 18.406 
               
               
                 2.153 
                 −0.121 
                 18.406 
               
               
                 2.263 
                 −0.142 
                 18.406 
               
               
                 2.361 
                 −0.16 
                 18.406 
               
               
                 2.448 
                 −0.176 
                 18.406 
               
               
                 2.523 
                 −0.19 
                 18.406 
               
               
                 2.587 
                 −0.201 
                 18.406 
               
               
                 2.641 
                 −0.21 
                 18.406 
               
               
                 2.687 
                 −0.218 
                 18.406 
               
               
                 2.725 
                 −0.224 
                 18.406 
               
               
                 2.755 
                 −0.229 
                 18.406 
               
               
                 2.777 
                 −0.236 
                 18.406 
               
               
                 2.791 
                 −0.248 
                 18.406 
               
               
                 2.797 
                 −0.261 
                 18.406 
               
               
                 2.8 
                 −0.273 
                 18.406 
               
               
                 2.799 
                 −0.282 
                 18.406 
               
               
                 2.797 
                 −0.29 
                 18.406 
               
               
                 2.792 
                 −0.301 
                 18.406 
               
               
                 2.782 
                 −0.311 
                 18.406 
               
               
                 2.766 
                 −0.319 
                 18.406 
               
               
                 2.742 
                 −0.319 
                 18.406 
               
               
                 2.713 
                 −0.316 
                 18.406 
               
               
                 2.675 
                 −0.312 
                 18.406 
               
               
                 2.629 
                 −0.307 
                 18.406 
               
               
                 2.575 
                 −0.302 
                 18.406 
               
               
                 2.512 
                 −0.296 
                 18.406 
               
               
                 2.436 
                 −0.291 
                 18.406 
               
               
                 2.35 
                 −0.286 
                 18.406 
               
               
                 2.251 
                 −0.281 
                 18.406 
               
               
                 2.141 
                 −0.276 
                 18.406 
               
               
                 2.019 
                 −0.271 
                 18.406 
               
               
                 1.886 
                 −0.266 
                 18.406 
               
               
                 1.747 
                 −0.262 
                 18.406 
               
               
                 1.602 
                 −0.258 
                 18.406 
               
               
                 1.451 
                 −0.254 
                 18.406 
               
               
                 1.295 
                 −0.251 
                 18.406 
               
               
                 1.132 
                 −0.248 
                 18.406 
               
               
                 0.964 
                 −0.244 
                 18.406 
               
               
                 0.79 
                 −0.241 
                 18.406 
               
               
                 0.616 
                 −0.237 
                 18.406 
               
               
                 0.442 
                 −0.233 
                 18.406 
               
               
                 0.268 
                 −0.228 
                 18.406 
               
               
                 0.094 
                 −0.222 
                 18.406 
               
               
                 −0.08 
                 −0.216 
                 18.406 
               
               
                 −0.253 
                 −0.209 
                 18.406 
               
               
                 −0.427 
                 −0.201 
                 18.406 
               
               
                 −0.601 
                 −0.193 
                 18.406 
               
               
                 −0.775 
                 −0.183 
                 18.406 
               
               
                 −0.948 
                 −0.171 
                 18.406 
               
               
                 −1.122 
                 −0.159 
                 18.406 
               
               
                 −1.289 
                 −0.145 
                 18.406 
               
               
                 −1.451 
                 −0.131 
                 18.406 
               
               
                 −1.607 
                 −0.116 
                 18.406 
               
               
                 −1.757 
                 −0.101 
                 18.406 
               
               
                 −1.901 
                 −0.086 
                 18.406 
               
               
                 −2.039 
                 −0.07 
                 18.406 
               
               
                 −2.172 
                 −0.054 
                 18.406 
               
               
                 −2.298 
                 −0.038 
                 18.406 
               
               
                 −2.413 
                 −0.022 
                 18.406 
               
               
                 −2.517 
                 −0.007 
                 18.406 
               
               
                 −2.608 
                 0.008 
                 18.406 
               
               
                 −2.694 
                 0.023 
                 18.406 
               
               
                 −2.768 
                 0.038 
                 18.406 
               
               
                 −2.824 
                 0.052 
                 18.406 
               
               
                 −2.868 
                 0.066 
                 18.406 
               
               
                 −2.9 
                 0.08 
                 18.406 
               
               
                 −2.923 
                 0.093 
                 18.406 
               
               
                 −2.933 
                 0.104 
                 18.406 
               
               
                 −2.937 
                 0.112 
                 18.406 
               
               
                 −2.938 
                 0.117 
                 18.406 
               
               
                 −2.939 
                 0.119 
                 18.406 
               
               
                 −2.801 
                 0.091 
                 21.036 
               
               
                 −2.802 
                 0.093 
                 21.036 
               
               
                 −2.802 
                 0.095 
                 21.036 
               
               
                 −2.802 
                 0.099 
                 21.036 
               
               
                 −2.8 
                 0.108 
                 21.036 
               
               
                 −2.793 
                 0.12 
                 21.036 
               
               
                 −2.774 
                 0.137 
                 21.036 
               
               
                 −2.746 
                 0.154 
                 21.036 
               
               
                 −2.705 
                 0.172 
                 21.036 
               
               
                 −2.653 
                 0.19 
                 21.036 
               
               
                 −2.583 
                 0.21 
                 21.036 
               
               
                 −2.502 
                 0.229 
                 21.036 
               
               
                 −2.414 
                 0.246 
                 21.036 
               
               
                 −2.315 
                 0.262 
                 21.036 
               
               
                 −2.205 
                 0.276 
                 21.036 
               
               
                 −2.083 
                 0.29 
                 21.036 
               
               
                 −1.956 
                 0.301 
                 21.036 
               
               
                 −1.822 
                 0.31 
                 21.036 
               
               
                 −1.683 
                 0.317 
                 21.036 
               
               
                 −1.539 
                 0.322 
                 21.036 
               
               
                 −1.388 
                 0.325 
                 21.036 
               
               
                 −1.233 
                 0.325 
                 21.036 
               
               
                 −1.071 
                 0.323 
                 21.036 
               
               
                 −0.904 
                 0.319 
                 21.036 
               
               
                 −0.737 
                 0.311 
                 21.036 
               
               
                 −0.571 
                 0.301 
                 21.036 
               
               
                 −0.404 
                 0.29 
                 21.036 
               
               
                 −0.238 
                 0.276 
                 21.036 
               
               
                 −0.072 
                 0.26 
                 21.036 
               
               
                 0.094 
                 0.242 
                 21.036 
               
               
                 0.26 
                 0.223 
                 21.036 
               
               
                 0.426 
                 0.203 
                 21.036 
               
               
                 0.591 
                 0.181 
                 21.036 
               
               
                 0.757 
                 0.158 
                 21.036 
               
               
                 0.922 
                 0.135 
                 21.036 
               
               
                 1.082 
                 0.111 
                 21.036 
               
               
                 1.236 
                 0.087 
                 21.036 
               
               
                 1.384 
                 0.065 
                 21.036 
               
               
                 1.527 
                 0.042 
                 21.036 
               
               
                 1.664 
                 0.021 
                 21.036 
               
               
                 1.796 
                 0 
                 21.036 
               
               
                 1.923 
                 −0.019 
                 21.036 
               
               
                 2.039 
                 −0.037 
                 21.036 
               
               
                 2.143 
                 −0.052 
                 21.036 
               
               
                 2.237 
                 −0.066 
                 21.036 
               
               
                 2.319 
                 −0.077 
                 21.036 
               
               
                 2.391 
                 −0.087 
                 21.036 
               
               
                 2.452 
                 −0.094 
                 21.036 
               
               
                 2.504 
                 −0.101 
                 21.036 
               
               
                 2.547 
                 −0.106 
                 21.036 
               
               
                 2.583 
                 −0.11 
                 21.036 
               
               
                 2.612 
                 −0.114 
                 21.036 
               
               
                 2.634 
                 −0.119 
                 21.036 
               
               
                 2.647 
                 −0.13 
                 21.036 
               
               
                 2.654 
                 −0.142 
                 21.036 
               
               
                 2.656 
                 −0.153 
                 21.036 
               
               
                 2.656 
                 −0.161 
                 21.036 
               
               
                 2.655 
                 −0.169 
                 21.036 
               
               
                 2.65 
                 −0.179 
                 21.036 
               
               
                 2.642 
                 −0.19 
                 21.036 
               
               
                 2.627 
                 −0.198 
                 21.036 
               
               
                 2.606 
                 −0.199 
                 21.036 
               
               
                 2.577 
                 −0.197 
                 21.036 
               
               
                 2.541 
                 −0.195 
                 21.036 
               
               
                 2.498 
                 −0.193 
                 21.036 
               
               
                 2.446 
                 −0.19 
                 21.036 
               
               
                 2.385 
                 −0.187 
                 21.036 
               
               
                 2.314 
                 −0.185 
                 21.036 
               
               
                 2.231 
                 −0.183 
                 21.036 
               
               
                 2.137 
                 −0.182 
                 21.036 
               
               
                 2.032 
                 −0.181 
                 21.036 
               
               
                 1.917 
                 −0.18 
                 21.036 
               
               
                 1.79 
                 −0.18 
                 21.036 
               
               
                 1.657 
                 −0.181 
                 21.036 
               
               
                 1.519 
                 −0.181 
                 21.036 
               
               
                 1.376 
                 −0.183 
                 21.036 
               
               
                 1.227 
                 −0.184 
                 21.036 
               
               
                 1.072 
                 −0.186 
                 21.036 
               
               
                 0.912 
                 −0.188 
                 21.036 
               
               
                 0.747 
                 −0.189 
                 21.036 
               
               
                 0.581 
                 −0.19 
                 21.036 
               
               
                 0.416 
                 −0.191 
                 21.036 
               
               
                 0.25 
                 −0.191 
                 21.036 
               
               
                 0.085 
                 −0.19 
                 21.036 
               
               
                 −0.081 
                 −0.189 
                 21.036 
               
               
                 −0.246 
                 −0.187 
                 21.036 
               
               
                 −0.412 
                 −0.183 
                 21.036 
               
               
                 −0.577 
                 −0.179 
                 21.036 
               
               
                 −0.742 
                 −0.173 
                 21.036 
               
               
                 −0.907 
                 −0.166 
                 21.036 
               
               
                 −1.073 
                 −0.158 
                 21.036 
               
               
                 −1.232 
                 −0.148 
                 21.036 
               
               
                 −1.386 
                 −0.138 
                 21.036 
               
               
                 −1.534 
                 −0.127 
                 21.036 
               
               
                 −1.677 
                 −0.115 
                 21.036 
               
               
                 −1.815 
                 −0.102 
                 21.036 
               
               
                 −1.946 
                 −0.089 
                 21.036 
               
               
                 −2.073 
                 −0.075 
                 21.036 
               
               
                 −2.193 
                 −0.061 
                 21.036 
               
               
                 −2.303 
                 −0.047 
                 21.036 
               
               
                 −2.401 
                 −0.032 
                 21.036 
               
               
                 −2.488 
                 −0.018 
                 21.036 
               
               
                 −2.57 
                 −0.003 
                 21.036 
               
               
                 −2.64 
                 0.011 
                 21.036 
               
               
                 −2.693 
                 0.025 
                 21.036 
               
               
                 −2.735 
                 0.039 
                 21.036 
               
               
                 −2.766 
                 0.052 
                 21.036 
               
               
                 −2.787 
                 0.065 
                 21.036 
               
               
                 −2.796 
                 0.076 
                 21.036 
               
               
                 −2.8 
                 0.084 
                 21.036 
               
               
                 −2.801 
                 0.088 
                 21.036 
               
               
                 −2.801 
                 0.09 
                 21.036 
               
               
                 −2.66 
                 0.063 
                 23.665 
               
               
                 −2.66 
                 0.064 
                 23.665 
               
               
                 −2.66 
                 0.066 
                 23.665 
               
               
                 −2.66 
                 0.07 
                 23.665 
               
               
                 −2.658 
                 0.078 
                 23.665 
               
               
                 −2.65 
                 0.089 
                 23.665 
               
               
                 −2.632 
                 0.103 
                 23.665 
               
               
                 −2.604 
                 0.118 
                 23.665 
               
               
                 −2.565 
                 0.134 
                 23.665 
               
               
                 −2.515 
                 0.149 
                 23.665 
               
               
                 −2.448 
                 0.165 
                 23.665 
               
               
                 −2.371 
                 0.182 
                 23.665 
               
               
                 −2.289 
                 0.196 
                 23.665 
               
               
                 −2.195 
                 0.21 
                 23.665 
               
               
                 −2.091 
                 0.223 
                 23.665 
               
               
                 −1.976 
                 0.236 
                 23.665 
               
               
                 −1.856 
                 0.246 
                 23.665 
               
               
                 −1.73 
                 0.255 
                 23.665 
               
               
                 −1.599 
                 0.263 
                 23.665 
               
               
                 −1.463 
                 0.269 
                 23.665 
               
               
                 −1.321 
                 0.274 
                 23.665 
               
               
                 −1.174 
                 0.276 
                 23.665 
               
               
                 −1.022 
                 0.277 
                 23.665 
               
               
                 −0.865 
                 0.276 
                 23.665 
               
               
                 −0.707 
                 0.272 
                 23.665 
               
               
                 −0.55 
                 0.267 
                 23.665 
               
               
                 −0.393 
                 0.26 
                 23.665 
               
               
                 −0.236 
                 0.251 
                 23.665 
               
               
                 −0.078 
                 0.241 
                 23.665 
               
               
                 0.079 
                 0.23 
                 23.665 
               
               
                 0.236 
                 0.217 
                 23.665 
               
               
                 0.392 
                 0.203 
                 23.665 
               
               
                 0.549 
                 0.189 
                 23.665 
               
               
                 0.706 
                 0.173 
                 23.665 
               
               
                 0.862 
                 0.157 
                 23.665 
               
               
                 1.014 
                 0.141 
                 23.665 
               
               
                 1.16 
                 0.125 
                 23.665 
               
               
                 1.3 
                 0.109 
                 23.665 
               
               
                 1.436 
                 0.094 
                 23.665 
               
               
                 1.566 
                 0.079 
                 23.665 
               
               
                 1.692 
                 0.065 
                 23.665 
               
               
                 1.812 
                 0.052 
                 23.665 
               
               
                 1.921 
                 0.041 
                 23.665 
               
               
                 2.02 
                 0.031 
                 23.665 
               
               
                 2.109 
                 0.022 
                 23.665 
               
               
                 2.188 
                 0.015 
                 23.665 
               
               
                 2.256 
                 0.009 
                 23.665 
               
               
                 2.313 
                 0.004 
                 23.665 
               
               
                 2.362 
                 0 
                 23.665 
               
               
                 2.404 
                 −0.003 
                 23.665 
               
               
                 2.438 
                 −0.005 
                 23.665 
               
               
                 2.465 
                 −0.007 
                 23.665 
               
               
                 2.485 
                 −0.011 
                 23.665 
               
               
                 2.498 
                 −0.02 
                 23.665 
               
               
                 2.506 
                 −0.031 
                 23.665 
               
               
                 2.509 
                 −0.042 
                 23.665 
               
               
                 2.509 
                 −0.049 
                 23.665 
               
               
                 2.508 
                 −0.057 
                 23.665 
               
               
                 2.504 
                 −0.067 
                 23.665 
               
               
                 2.496 
                 −0.077 
                 23.665 
               
               
                 2.483 
                 −0.086 
                 23.665 
               
               
                 2.462 
                 −0.088 
                 23.665 
               
               
                 2.435 
                 −0.087 
                 23.665 
               
               
                 2.401 
                 −0.087 
                 23.665 
               
               
                 2.36 
                 −0.086 
                 23.665 
               
               
                 2.31 
                 −0.086 
                 23.665 
               
               
                 2.253 
                 −0.086 
                 23.665 
               
               
                 2.185 
                 −0.086 
                 23.665 
               
               
                 2.107 
                 −0.088 
                 23.665 
               
               
                 2.018 
                 −0.09 
                 23.665 
               
               
                 1.918 
                 −0.092 
                 23.665 
               
               
                 1.809 
                 −0.096 
                 23.665 
               
               
                 1.689 
                 −0.1 
                 23.665 
               
               
                 1.563 
                 −0.105 
                 23.665 
               
               
                 1.433 
                 −0.11 
                 23.665 
               
               
                 1.297 
                 −0.116 
                 23.665 
               
               
                 1.156 
                 −0.122 
                 23.665 
               
               
                 1.01 
                 −0.128 
                 23.665 
               
               
                 0.858 
                 −0.135 
                 23.665 
               
               
                 0.701 
                 −0.141 
                 23.665 
               
               
                 0.545 
                 −0.147 
                 23.665 
               
               
                 0.388 
                 −0.152 
                 23.665 
               
               
                 0.231 
                 −0.157 
                 23.665 
               
               
                 0.075 
                 −0.161 
                 23.665 
               
               
                 −0.082 
                 −0.164 
                 23.665 
               
               
                 −0.239 
                 −0.166 
                 23.665 
               
               
                 −0.396 
                 −0.167 
                 23.665 
               
               
                 −0.553 
                 −0.166 
                 23.665 
               
               
                 −0.709 
                 −0.165 
                 23.665 
               
               
                 −0.866 
                 −0.162 
                 23.665 
               
               
                 −1.023 
                 −0.158 
                 23.665 
               
               
                 −1.174 
                 −0.152 
                 23.665 
               
               
                 −1.32 
                 −0.145 
                 23.665 
               
               
                 −1.461 
                 −0.137 
                 23.665 
               
               
                 −1.597 
                 −0.128 
                 23.665 
               
               
                 −1.727 
                 −0.118 
                 23.665 
               
               
                 −1.852 
                 −0.107 
                 23.665 
               
               
                 −1.971 
                 −0.096 
                 23.665 
               
               
                 −2.086 
                 −0.083 
                 23.665 
               
               
                 −2.189 
                 −0.07 
                 23.665 
               
               
                 −2.283 
                 −0.057 
                 23.665 
               
               
                 −2.365 
                 −0.044 
                 23.665 
               
               
                 −2.442 
                 −0.03 
                 23.665 
               
               
                 −2.509 
                 −0.015 
                 23.665 
               
               
                 −2.559 
                 −0.002 
                 23.665 
               
               
                 −2.599 
                 0.012 
                 23.665 
               
               
                 −2.628 
                 0.025 
                 23.665 
               
               
                 −2.648 
                 0.038 
                 23.665 
               
               
                 −2.656 
                 0.048 
                 23.665 
               
               
                 −2.659 
                 0.056 
                 23.665 
               
               
                 −2.66 
                 0.06 
                 23.665 
               
               
                 −2.66 
                 0.062 
                 23.665 
               
               
                 −2.517 
                 0.039 
                 26.295 
               
               
                 −2.517 
                 0.04 
                 26.295 
               
               
                 −2.517 
                 0.042 
                 26.295 
               
               
                 −2.516 
                 0.046 
                 26.295 
               
               
                 −2.514 
                 0.054 
                 26.295 
               
               
                 −2.505 
                 0.063 
                 26.295 
               
               
                 −2.487 
                 0.075 
                 26.295 
               
               
                 −2.46 
                 0.088 
                 26.295 
               
               
                 −2.423 
                 0.101 
                 26.295 
               
               
                 −2.375 
                 0.114 
                 26.295 
               
               
                 −2.312 
                 0.127 
                 26.295 
               
               
                 −2.24 
                 0.141 
                 26.295 
               
               
                 −2.162 
                 0.154 
                 26.295 
               
               
                 −2.074 
                 0.166 
                 26.295 
               
               
                 −1.976 
                 0.178 
                 26.295 
               
               
                 −1.868 
                 0.189 
                 26.295 
               
               
                 −1.754 
                 0.199 
                 26.295 
               
               
                 −1.636 
                 0.208 
                 26.295 
               
               
                 −1.513 
                 0.216 
                 26.295 
               
               
                 −1.385 
                 0.223 
                 26.295 
               
               
                 −1.252 
                 0.228 
                 26.295 
               
               
                 −1.114 
                 0.232 
                 26.295 
               
               
                 −0.97 
                 0.235 
                 26.295 
               
               
                 −0.822 
                 0.237 
                 26.295 
               
               
                 −0.674 
                 0.236 
                 26.295 
               
               
                 −0.526 
                 0.234 
                 26.295 
               
               
                 −0.378 
                 0.231 
                 26.295 
               
               
                 −0.23 
                 0.227 
                 26.295 
               
               
                 −0.082 
                 0.222 
                 26.295 
               
               
                 0.066 
                 0.215 
                 26.295 
               
               
                 0.214 
                 0.208 
                 26.295 
               
               
                 0.362 
                 0.2 
                 26.295 
               
               
                 0.509 
                 0.191 
                 26.295 
               
               
                 0.657 
                 0.181 
                 26.295 
               
               
                 0.805 
                 0.171 
                 26.295 
               
               
                 0.948 
                 0.161 
                 26.295 
               
               
                 1.086 
                 0.151 
                 26.295 
               
               
                 1.219 
                 0.142 
                 26.295 
               
               
                 1.347 
                 0.132 
                 26.295 
               
               
                 1.47 
                 0.124 
                 26.295 
               
               
                 1.588 
                 0.115 
                 26.295 
               
               
                 1.701 
                 0.108 
                 26.295 
               
               
                 1.805 
                 0.101 
                 26.295 
               
               
                 1.898 
                 0.095 
                 26.295 
               
               
                 1.982 
                 0.09 
                 26.295 
               
               
                 2.056 
                 0.086 
                 26.295 
               
               
                 2.12 
                 0.084 
                 26.295 
               
               
                 2.174 
                 0.082 
                 26.295 
               
               
                 2.221 
                 0.08 
                 26.295 
               
               
                 2.26 
                 0.079 
                 26.295 
               
               
                 2.292 
                 0.078 
                 26.295 
               
               
                 2.317 
                 0.078 
                 26.295 
               
               
                 2.337 
                 0.075 
                 26.295 
               
               
                 2.349 
                 0.066 
                 26.295 
               
               
                 2.357 
                 0.056 
                 26.295 
               
               
                 2.36 
                 0.047 
                 26.295 
               
               
                 2.36 
                 0.039 
                 26.295 
               
               
                 2.36 
                 0.032 
                 26.295 
               
               
                 2.357 
                 0.023 
                 26.295 
               
               
                 2.35 
                 0.013 
                 26.295 
               
               
                 2.338 
                 0.005 
                 26.295 
               
               
                 2.318 
                 0.001 
                 26.295 
               
               
                 2.293 
                 0.001 
                 26.295 
               
               
                 2.26 
                 0 
                 26.295 
               
               
                 2.221 
                 −0.001 
                 26.295 
               
               
                 2.175 
                 −0.003 
                 26.295 
               
               
                 2.121 
                 −0.005 
                 26.295 
               
               
                 2.057 
                 −0.007 
                 26.295 
               
               
                 1.983 
                 −0.011 
                 26.295 
               
               
                 1.899 
                 −0.016 
                 26.295 
               
               
                 1.805 
                 −0.022 
                 26.295 
               
               
                 1.702 
                 −0.028 
                 26.295 
               
               
                 1.588 
                 −0.036 
                 26.295 
               
               
                 1.47 
                 −0.044 
                 26.295 
               
               
                 1.347 
                 −0.053 
                 26.295 
               
               
                 1.219 
                 −0.062 
                 26.295 
               
               
                 1.086 
                 −0.072 
                 26.295 
               
               
                 0.948 
                 −0.081 
                 26.295 
               
               
                 0.805 
                 −0.091 
                 26.295 
               
               
                 0.658 
                 −0.101 
                 26.295 
               
               
                 0.51 
                 −0.111 
                 26.295 
               
               
                 0.362 
                 −0.119 
                 26.295 
               
               
                 0.214 
                 −0.128 
                 26.295 
               
               
                 0.066 
                 −0.135 
                 26.295 
               
               
                 −0.082 
                 −0.141 
                 26.295 
               
               
                 −0.23 
                 −0.147 
                 26.295 
               
               
                 −0.378 
                 −0.151 
                 26.295 
               
               
                 −0.526 
                 −0.154 
                 26.295 
               
               
                 −0.674 
                 −0.156 
                 26.295 
               
               
                 −0.822 
                 −0.157 
                 26.295 
               
               
                 −0.97 
                 −0.156 
                 26.295 
               
               
                 −1.113 
                 −0.153 
                 26.295 
               
               
                 −1.252 
                 −0.149 
                 26.295 
               
               
                 −1.385 
                 −0.144 
                 26.295 
               
               
                 −1.513 
                 −0.137 
                 26.295 
               
               
                 −1.636 
                 −0.129 
                 26.295 
               
               
                 −1.754 
                 −0.121 
                 26.295 
               
               
                 −1.867 
                 −0.111 
                 26.295 
               
               
                 −1.975 
                 −0.1 
                 26.295 
               
               
                 −2.073 
                 −0.088 
                 26.295 
               
               
                 −2.161 
                 −0.076 
                 26.295 
               
               
                 −2.239 
                 −0.063 
                 26.295 
               
               
                 −2.312 
                 −0.05 
                 26.295 
               
               
                 −2.375 
                 −0.036 
                 26.295 
               
               
                 −2.423 
                 −0.023 
                 26.295 
               
               
                 −2.46 
                 −0.01 
                 26.295 
               
               
                 −2.487 
                 0.003 
                 26.295 
               
               
                 −2.506 
                 0.015 
                 26.295 
               
               
                 −2.514 
                 0.025 
                 26.295 
               
               
                 −2.516 
                 0.032 
                 26.295 
               
               
                 −2.517 
                 0.036 
                 26.295 
               
               
                 −2.517 
                 0.038 
                 26.295 
               
               
                   
               
             
          
         
       
     
         [0024]    It will also be appreciated that the exemplary airfoil(s) disclosed in the above Table 1 may be scaled up or down geometrically for use in other similar compressor designs. Consequently, the coordinate values set forth in the Table 1 may be scaled upwardly or downwardly such that the airfoil profile shape remains unchanged. A scaled version of the coordinates in Table 1 would be represented by X, Y and Z coordinate values of Table 1 multiplied or divided by a constant. 
         [0025]    While various embodiments are described herein, it will be appreciated from the specification that various combinations of elements, variations or improvements therein may be made by those skilled in the art, and are within the scope of the invention.