PATENT 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.

PATENT 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 8 th  stage airfoil rotor blade. 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 8 th  stage airfoil rotor blade. 
         [0000]    
       
         
               
               
               
             
               
               
               
             
           
               
                 TABLE 1 
               
               
                   
               
               
                 X-LOC 
                 Y-LOC 
                 Z-LOC 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                 1.8880 
                 0.1730 
                 0.0310 
               
               
                 1.8890 
                 0.1680 
                 0.0310 
               
               
                 1.8900 
                 0.1610 
                 0.0310 
               
               
                 1.8890 
                 0.1510 
                 0.0310 
               
               
                 1.8860 
                 0.1410 
                 0.0310 
               
               
                 1.8780 
                 0.1280 
                 0.0310 
               
               
                 1.8620 
                 0.1170 
                 0.0310 
               
               
                 1.8390 
                 0.1080 
                 0.0310 
               
               
                 1.8120 
                 0.0980 
                 0.0310 
               
               
                 1.7790 
                 0.0850 
                 0.0310 
               
               
                 1.7400 
                 0.0700 
                 0.0310 
               
               
                 1.6950 
                 0.0530 
                 0.0310 
               
               
                 1.6430 
                 0.0330 
                 0.0310 
               
               
                 1.5830 
                 0.0100 
                 0.0310 
               
               
                 1.5160 
                 −0.0140 
                 0.0310 
               
               
                 1.4420 
                 −0.0400 
                 0.0310 
               
               
                 1.3610 
                 −0.0680 
                 0.0310 
               
               
                 1.2760 
                 −0.0950 
                 0.0310 
               
               
                 1.1860 
                 −0.1220 
                 0.0310 
               
               
                 1.0930 
                 −0.1480 
                 0.0310 
               
               
                 0.9950 
                 −0.1730 
                 0.0310 
               
               
                 0.8940 
                 −0.1970 
                 0.0310 
               
               
                 0.7870 
                 −0.2190 
                 0.0310 
               
               
                 0.6770 
                 −0.2380 
                 0.0310 
               
               
                 0.5660 
                 −0.2540 
                 0.0310 
               
               
                 0.4540 
                 −0.2670 
                 0.0310 
               
               
                 0.3430 
                 −0.2760 
                 0.0310 
               
               
                 0.2320 
                 −0.2820 
                 0.0310 
               
               
                 0.1200 
                 −0.2830 
                 0.0310 
               
               
                 0.0090 
                 −0.2800 
                 0.0310 
               
               
                 −0.1030 
                 −0.2730 
                 0.0310 
               
               
                 −0.2140 
                 −0.2630 
                 0.0310 
               
               
                 −0.3260 
                 −0.2480 
                 0.0310 
               
               
                 −0.4360 
                 −0.2300 
                 0.0310 
               
               
                 −0.5460 
                 −0.2080 
                 0.0310 
               
               
                 −0.6500 
                 −0.1830 
                 0.0310 
               
               
                 −0.7500 
                 −0.1550 
                 0.0310 
               
               
                 −0.8450 
                 −0.1260 
                 0.0310 
               
               
                 −0.9360 
                 −0.0950 
                 0.0310 
               
               
                 −1.0230 
                 −0.0620 
                 0.0310 
               
               
                 −1.1050 
                 −0.0280 
                 0.0310 
               
               
                 −1.1830 
                 0.0070 
                 0.0310 
               
               
                 −1.2570 
                 0.0440 
                 0.0310 
               
               
                 −1.3230 
                 0.0790 
                 0.0310 
               
               
                 −1.3820 
                 0.1130 
                 0.0310 
               
               
                 −1.4330 
                 0.1450 
                 0.0310 
               
               
                 −1.4800 
                 0.1770 
                 0.0310 
               
               
                 −1.5190 
                 0.2070 
                 0.0310 
               
               
                 −1.5470 
                 0.2310 
                 0.0310 
               
               
                 −1.5680 
                 0.2530 
                 0.0310 
               
               
                 −1.5800 
                 0.2720 
                 0.0310 
               
               
                 −1.5850 
                 0.2890 
                 0.0310 
               
               
                 −1.5860 
                 0.2980 
                 0.0310 
               
               
                 −1.5850 
                 0.3040 
                 0.0310 
               
               
                 −1.5840 
                 0.3070 
                 0.0310 
               
               
                 −1.5840 
                 0.3080 
                 0.0310 
               
               
                 −1.5830 
                 0.3090 
                 0.0310 
               
               
                 −1.5830 
                 0.3100 
                 0.0310 
               
               
                 −1.5830 
                 0.3110 
                 0.0310 
               
               
                 −1.5810 
                 0.3140 
                 0.0310 
               
               
                 −1.5780 
                 0.3180 
                 0.0310 
               
               
                 −1.5720 
                 0.3240 
                 0.0310 
               
               
                 −1.5580 
                 0.3320 
                 0.0310 
               
               
                 −1.5370 
                 0.3380 
                 0.0310 
               
               
                 −1.5090 
                 0.3390 
                 0.0310 
               
               
                 −1.4740 
                 0.3370 
                 0.0310 
               
               
                 −1.4280 
                 0.3320 
                 0.0310 
               
               
                 −1.3760 
                 0.3260 
                 0.0310 
               
               
                 −1.3200 
                 0.3180 
                 0.0310 
               
               
                 −1.2580 
                 0.3080 
                 0.0310 
               
               
                 −1.1880 
                 0.2960 
                 0.0310 
               
               
                 −1.1120 
                 0.2840 
                 0.0310 
               
               
                 −1.0320 
                 0.2710 
                 0.0310 
               
               
                 −0.9490 
                 0.2570 
                 0.0310 
               
               
                 −0.8620 
                 0.2430 
                 0.0310 
               
               
                 −0.7710 
                 0.2300 
                 0.0310 
               
               
                 −0.6770 
                 0.2160 
                 0.0310 
               
               
                 −0.5800 
                 0.2020 
                 0.0310 
               
               
                 −0.4790 
                 0.1890 
                 0.0310 
               
               
                 −0.3740 
                 0.1770 
                 0.0310 
               
               
                 −0.2690 
                 0.1650 
                 0.0310 
               
               
                 −0.1640 
                 0.1550 
                 0.0310 
               
               
                 −0.0590 
                 0.1450 
                 0.0310 
               
               
                 0.0460 
                 0.1360 
                 0.0310 
               
               
                 0.1520 
                 0.1280 
                 0.0310 
               
               
                 0.2570 
                 0.1210 
                 0.0310 
               
               
                 0.3620 
                 0.1140 
                 0.0310 
               
               
                 0.4680 
                 0.1080 
                 0.0310 
               
               
                 0.5730 
                 0.1040 
                 0.0310 
               
               
                 0.6790 
                 0.1010 
                 0.0310 
               
               
                 0.7840 
                 0.1000 
                 0.0310 
               
               
                 0.8860 
                 0.1010 
                 0.0310 
               
               
                 0.9850 
                 0.1020 
                 0.0310 
               
               
                 1.0800 
                 0.1060 
                 0.0310 
               
               
                 1.1710 
                 0.1110 
                 0.0310 
               
               
                 1.2590 
                 0.1170 
                 0.0310 
               
               
                 1.3430 
                 0.1240 
                 0.0310 
               
               
                 1.4230 
                 0.1320 
                 0.0310 
               
               
                 1.4970 
                 0.1410 
                 0.0310 
               
               
                 1.5630 
                 0.1510 
                 0.0310 
               
               
                 1.6220 
                 0.1600 
                 0.0310 
               
               
                 1.6740 
                 0.1690 
                 0.0310 
               
               
                 1.7190 
                 0.1780 
                 0.0310 
               
               
                 1.7570 
                 0.1860 
                 0.0310 
               
               
                 1.7890 
                 0.1940 
                 0.0310 
               
               
                 1.8160 
                 0.2000 
                 0.0310 
               
               
                 1.8380 
                 0.2050 
                 0.0310 
               
               
                 1.8560 
                 0.2040 
                 0.0310 
               
               
                 1.8690 
                 0.1980 
                 0.0310 
               
               
                 1.8770 
                 0.1920 
                 0.0310 
               
               
                 1.8820 
                 0.1850 
                 0.0310 
               
               
                 1.8860 
                 0.1780 
                 0.0310 
               
               
                 1.9340 
                 0.0480 
                 0.8140 
               
               
                 1.9350 
                 0.0420 
                 0.8140 
               
               
                 1.9350 
                 0.0350 
                 0.8140 
               
               
                 1.9330 
                 0.0260 
                 0.8140 
               
               
                 1.9280 
                 0.0160 
                 0.8140 
               
               
                 1.9180 
                 0.0050 
                 0.8140 
               
               
                 1.9000 
                 −0.0020 
                 0.8140 
               
               
                 1.8770 
                 −0.0080 
                 0.8140 
               
               
                 1.8480 
                 −0.0140 
                 0.8140 
               
               
                 1.8150 
                 −0.0230 
                 0.8140 
               
               
                 1.7750 
                 −0.0320 
                 0.8140 
               
               
                 1.7290 
                 −0.0440 
                 0.8140 
               
               
                 1.6750 
                 −0.0570 
                 0.8140 
               
               
                 1.6150 
                 −0.0730 
                 0.8140 
               
               
                 1.5470 
                 −0.0900 
                 0.8140 
               
               
                 1.4720 
                 −0.1090 
                 0.8140 
               
               
                 1.3890 
                 −0.1280 
                 0.8140 
               
               
                 1.3030 
                 −0.1480 
                 0.8140 
               
               
                 1.2130 
                 −0.1680 
                 0.8140 
               
               
                 1.1190 
                 −0.1870 
                 0.8140 
               
               
                 1.0220 
                 −0.2050 
                 0.8140 
               
               
                 0.9200 
                 −0.2230 
                 0.8140 
               
               
                 0.8140 
                 −0.2390 
                 0.8140 
               
               
                 0.7050 
                 −0.2540 
                 0.8140 
               
               
                 0.5950 
                 −0.2680 
                 0.8140 
               
               
                 0.4860 
                 −0.2790 
                 0.8140 
               
               
                 0.3770 
                 −0.2870 
                 0.8140 
               
               
                 0.2670 
                 −0.2910 
                 0.8140 
               
               
                 0.1580 
                 −0.2910 
                 0.8140 
               
               
                 0.0490 
                 −0.2880 
                 0.8140 
               
               
                 −0.0600 
                 −0.2800 
                 0.8140 
               
               
                 −0.1690 
                 −0.2680 
                 0.8140 
               
               
                 −0.2790 
                 −0.2530 
                 0.8140 
               
               
                 −0.3880 
                 −0.2340 
                 0.8140 
               
               
                 −0.4960 
                 −0.2110 
                 0.8140 
               
               
                 −0.6010 
                 −0.1860 
                 0.8140 
               
               
                 −0.7010 
                 −0.1590 
                 0.8140 
               
               
                 −0.7960 
                 −0.1300 
                 0.8140 
               
               
                 −0.8880 
                 −0.0990 
                 0.8140 
               
               
                 −0.9750 
                 −0.0670 
                 0.8140 
               
               
                 −1.0570 
                 −0.0340 
                 0.8140 
               
               
                 −1.1350 
                 0.0010 
                 0.8140 
               
               
                 −1.2090 
                 0.0360 
                 0.8140 
               
               
                 −1.2740 
                 0.0700 
                 0.8140 
               
               
                 −1.3330 
                 0.1020 
                 0.8140 
               
               
                 −1.3830 
                 0.1340 
                 0.8140 
               
               
                 −1.4290 
                 0.1650 
                 0.8140 
               
               
                 −1.4670 
                 0.1940 
                 0.8140 
               
               
                 −1.4950 
                 0.2190 
                 0.8140 
               
               
                 −1.5160 
                 0.2400 
                 0.8140 
               
               
                 −1.5300 
                 0.2570 
                 0.8140 
               
               
                 −1.5360 
                 0.2720 
                 0.8140 
               
               
                 −1.5380 
                 0.2820 
                 0.8140 
               
               
                 −1.5380 
                 0.2880 
                 0.8140 
               
               
                 −1.5370 
                 0.2910 
                 0.8140 
               
               
                 −1.5360 
                 0.2920 
                 0.8140 
               
               
                 −1.5360 
                 0.2930 
                 0.8140 
               
               
                 −1.5360 
                 0.2930 
                 0.8140 
               
               
                 −1.5350 
                 0.2950 
                 0.8140 
               
               
                 −1.5340 
                 0.2970 
                 0.8140 
               
               
                 −1.5300 
                 0.3020 
                 0.8140 
               
               
                 −1.5240 
                 0.3070 
                 0.8140 
               
               
                 −1.5090 
                 0.3140 
                 0.8140 
               
               
                 −1.4880 
                 0.3180 
                 0.8140 
               
               
                 −1.4600 
                 0.3180 
                 0.8140 
               
               
                 −1.4250 
                 0.3170 
                 0.8140 
               
               
                 −1.3790 
                 0.3140 
                 0.8140 
               
               
                 −1.3260 
                 0.3080 
                 0.8140 
               
               
                 −1.2710 
                 0.3000 
                 0.8140 
               
               
                 −1.2080 
                 0.2900 
                 0.8140 
               
               
                 −1.1390 
                 0.2780 
                 0.8140 
               
               
                 −1.0620 
                 0.2650 
                 0.8140 
               
               
                 −0.9830 
                 0.2510 
                 0.8140 
               
               
                 −0.8990 
                 0.2360 
                 0.8140 
               
               
                 −0.8130 
                 0.2210 
                 0.8140 
               
               
                 −0.7230 
                 0.2050 
                 0.8140 
               
               
                 −0.6290 
                 0.1890 
                 0.8140 
               
               
                 −0.5320 
                 0.1730 
                 0.8140 
               
               
                 −0.4310 
                 0.1570 
                 0.8140 
               
               
                 −0.3260 
                 0.1410 
                 0.8140 
               
               
                 −0.2220 
                 0.1260 
                 0.8140 
               
               
                 −0.1170 
                 0.1120 
                 0.8140 
               
               
                 −0.0130 
                 0.0970 
                 0.8140 
               
               
                 0.0920 
                 0.0840 
                 0.8140 
               
               
                 0.1970 
                 0.0700 
                 0.8140 
               
               
                 0.3010 
                 0.0560 
                 0.8140 
               
               
                 0.4060 
                 0.0420 
                 0.8140 
               
               
                 0.5110 
                 0.0290 
                 0.8140 
               
               
                 0.6160 
                 0.0180 
                 0.8140 
               
               
                 0.7210 
                 0.0080 
                 0.8140 
               
               
                 0.8260 
                 0.0010 
                 0.8140 
               
               
                 0.9290 
                 −0.0040 
                 0.8140 
               
               
                 1.0270 
                 −0.0060 
                 0.8140 
               
               
                 1.1220 
                 −0.0070 
                 0.8140 
               
               
                 1.2140 
                 −0.0050 
                 0.8140 
               
               
                 1.3020 
                 −0.0020 
                 0.8140 
               
               
                 1.3860 
                 0.0030 
                 0.8140 
               
               
                 1.4670 
                 0.0090 
                 0.8140 
               
               
                 1.5400 
                 0.0170 
                 0.8140 
               
               
                 1.6070 
                 0.0250 
                 0.8140 
               
               
                 1.6660 
                 0.0330 
                 0.8140 
               
               
                 1.7180 
                 0.0420 
                 0.8140 
               
               
                 1.7630 
                 0.0500 
                 0.8140 
               
               
                 1.8010 
                 0.0580 
                 0.8140 
               
               
                 1.8340 
                 0.0650 
                 0.8140 
               
               
                 1.8610 
                 0.0710 
                 0.8140 
               
               
                 1.8830 
                 0.0770 
                 0.8140 
               
               
                 1.9010 
                 0.0780 
                 0.8140 
               
               
                 1.9150 
                 0.0730 
                 0.8140 
               
               
                 1.9230 
                 0.0670 
                 0.8140 
               
               
                 1.9290 
                 0.0590 
                 0.8140 
               
               
                 1.9320 
                 0.0530 
                 0.8140 
               
               
                 1.9430 
                 −0.0650 
                 1.5980 
               
               
                 1.9430 
                 −0.0700 
                 1.5980 
               
               
                 1.9430 
                 −0.0780 
                 1.5980 
               
               
                 1.9400 
                 −0.0870 
                 1.5980 
               
               
                 1.9350 
                 −0.0960 
                 1.5980 
               
               
                 1.9240 
                 −0.1060 
                 1.5980 
               
               
                 1.9050 
                 −0.1110 
                 1.5980 
               
               
                 1.8820 
                 −0.1150 
                 1.5980 
               
               
                 1.8530 
                 −0.1200 
                 1.5980 
               
               
                 1.8190 
                 −0.1250 
                 1.5980 
               
               
                 1.7800 
                 −0.1320 
                 1.5980 
               
               
                 1.7330 
                 −0.1400 
                 1.5980 
               
               
                 1.6790 
                 −0.1490 
                 1.5980 
               
               
                 1.6170 
                 −0.1600 
                 1.5980 
               
               
                 1.5490 
                 −0.1730 
                 1.5980 
               
               
                 1.4730 
                 −0.1860 
                 1.5980 
               
               
                 1.3900 
                 −0.2000 
                 1.5980 
               
               
                 1.3030 
                 −0.2150 
                 1.5980 
               
               
                 1.2130 
                 −0.2290 
                 1.5980 
               
               
                 1.1190 
                 −0.2420 
                 1.5980 
               
               
                 1.0210 
                 −0.2550 
                 1.5980 
               
               
                 0.9190 
                 −0.2660 
                 1.5980 
               
               
                 0.8130 
                 −0.2770 
                 1.5980 
               
               
                 0.7040 
                 −0.2870 
                 1.5980 
               
               
                 0.5940 
                 −0.2950 
                 1.5980 
               
               
                 0.4850 
                 −0.3010 
                 1.5980 
               
               
                 0.3760 
                 −0.3050 
                 1.5980 
               
               
                 0.2670 
                 −0.3040 
                 1.5980 
               
               
                 0.1580 
                 −0.3000 
                 1.5980 
               
               
                 0.0500 
                 −0.2920 
                 1.5980 
               
               
                 −0.0580 
                 −0.2810 
                 1.5980 
               
               
                 −0.1660 
                 −0.2660 
                 1.5980 
               
               
                 −0.2730 
                 −0.2470 
                 1.5980 
               
               
                 −0.3810 
                 −0.2250 
                 1.5980 
               
               
                 −0.4880 
                 −0.2000 
                 1.5980 
               
               
                 −0.5910 
                 −0.1730 
                 1.5980 
               
               
                 −0.6890 
                 −0.1440 
                 1.5980 
               
               
                 −0.7840 
                 −0.1130 
                 1.5980 
               
               
                 −0.8740 
                 −0.0810 
                 1.5980 
               
               
                 −0.9600 
                 −0.0480 
                 1.5980 
               
               
                 −1.0410 
                 −0.0140 
                 1.5980 
               
               
                 −1.1180 
                 0.0210 
                 1.5980 
               
               
                 −1.1910 
                 0.0570 
                 1.5980 
               
               
                 −1.2560 
                 0.0910 
                 1.5980 
               
               
                 −1.3130 
                 0.1240 
                 1.5980 
               
               
                 −1.3630 
                 0.1560 
                 1.5980 
               
               
                 −1.4090 
                 0.1870 
                 1.5980 
               
               
                 −1.4470 
                 0.2160 
                 1.5980 
               
               
                 −1.4740 
                 0.2400 
                 1.5980 
               
               
                 −1.4950 
                 0.2610 
                 1.5980 
               
               
                 −1.5090 
                 0.2780 
                 1.5980 
               
               
                 −1.5160 
                 0.2930 
                 1.5980 
               
               
                 −1.5180 
                 0.3020 
                 1.5980 
               
               
                 −1.5170 
                 0.3080 
                 1.5980 
               
               
                 −1.5160 
                 0.3110 
                 1.5980 
               
               
                 −1.5160 
                 0.3120 
                 1.5980 
               
               
                 −1.5160 
                 0.3130 
                 1.5980 
               
               
                 −1.5150 
                 0.3130 
                 1.5980 
               
               
                 −1.5150 
                 0.3150 
                 1.5980 
               
               
                 −1.5130 
                 0.3170 
                 1.5980 
               
               
                 −1.5090 
                 0.3210 
                 1.5980 
               
               
                 −1.5020 
                 0.3260 
                 1.5980 
               
               
                 −1.4870 
                 0.3310 
                 1.5980 
               
               
                 −1.4660 
                 0.3350 
                 1.5980 
               
               
                 −1.4380 
                 0.3360 
                 1.5980 
               
               
                 −1.4030 
                 0.3340 
                 1.5980 
               
               
                 −1.3570 
                 0.3290 
                 1.5980 
               
               
                 −1.3050 
                 0.3220 
                 1.5980 
               
               
                 −1.2500 
                 0.3130 
                 1.5980 
               
               
                 −1.1870 
                 0.3020 
                 1.5980 
               
               
                 −1.1180 
                 0.2890 
                 1.5980 
               
               
                 −1.0420 
                 0.2740 
                 1.5980 
               
               
                 −0.9630 
                 0.2580 
                 1.5980 
               
               
                 −0.8800 
                 0.2420 
                 1.5980 
               
               
                 −0.7940 
                 0.2240 
                 1.5980 
               
               
                 −0.7040 
                 0.2060 
                 1.5980 
               
               
                 −0.6110 
                 0.1870 
                 1.5980 
               
               
                 −0.5140 
                 0.1690 
                 1.5980 
               
               
                 −0.4140 
                 0.1500 
                 1.5980 
               
               
                 −0.3100 
                 0.1310 
                 1.5980 
               
               
                 −0.2060 
                 0.1120 
                 1.5980 
               
               
                 −0.1020 
                 0.0940 
                 1.5980 
               
               
                 0.0020 
                 0.0770 
                 1.5980 
               
               
                 0.1060 
                 0.0590 
                 1.5980 
               
               
                 0.2100 
                 0.0410 
                 1.5980 
               
               
                 0.3140 
                 0.0240 
                 1.5980 
               
               
                 0.4180 
                 0.0060 
                 1.5980 
               
               
                 0.5220 
                 −0.0110 
                 1.5980 
               
               
                 0.6270 
                 −0.0270 
                 1.5980 
               
               
                 0.7310 
                 −0.0420 
                 1.5980 
               
               
                 0.8360 
                 −0.0540 
                 1.5980 
               
               
                 0.9380 
                 −0.0630 
                 1.5980 
               
               
                 1.0360 
                 −0.0700 
                 1.5980 
               
               
                 1.1310 
                 −0.0750 
                 1.5980 
               
               
                 1.2220 
                 −0.0780 
                 1.5980 
               
               
                 1.3100 
                 −0.0800 
                 1.5980 
               
               
                 1.3940 
                 −0.0800 
                 1.5980 
               
               
                 1.4750 
                 −0.0780 
                 1.5980 
               
               
                 1.5490 
                 −0.0740 
                 1.5980 
               
               
                 1.6160 
                 −0.0700 
                 1.5980 
               
               
                 1.6760 
                 −0.0650 
                 1.5980 
               
               
                 1.7280 
                 −0.0590 
                 1.5980 
               
               
                 1.7740 
                 −0.0530 
                 1.5980 
               
               
                 1.8120 
                 −0.0470 
                 1.5980 
               
               
                 1.8450 
                 −0.0420 
                 1.5980 
               
               
                 1.8720 
                 −0.0370 
                 1.5980 
               
               
                 1.8950 
                 −0.0340 
                 1.5980 
               
               
                 1.9130 
                 −0.0330 
                 1.5980 
               
               
                 1.9260 
                 −0.0390 
                 1.5980 
               
               
                 1.9340 
                 −0.0460 
                 1.5980 
               
               
                 1.9390 
                 −0.0530 
                 1.5980 
               
               
                 1.9420 
                 −0.0600 
                 1.5980 
               
               
                 1.9480 
                 −0.1800 
                 2.3810 
               
               
                 1.9480 
                 −0.1850 
                 2.3810 
               
               
                 1.9470 
                 −0.1930 
                 2.3810 
               
               
                 1.9440 
                 −0.2010 
                 2.3810 
               
               
                 1.9380 
                 −0.2100 
                 2.3810 
               
               
                 1.9260 
                 −0.2190 
                 2.3810 
               
               
                 1.9080 
                 −0.2230 
                 2.3810 
               
               
                 1.8850 
                 −0.2260 
                 2.3810 
               
               
                 1.8560 
                 −0.2300 
                 2.3810 
               
               
                 1.8220 
                 −0.2330 
                 2.3810 
               
               
                 1.7830 
                 −0.2380 
                 2.3810 
               
               
                 1.7360 
                 −0.2430 
                 2.3810 
               
               
                 1.6820 
                 −0.2490 
                 2.3810 
               
               
                 1.6200 
                 −0.2570 
                 2.3810 
               
               
                 1.5520 
                 −0.2650 
                 2.3810 
               
               
                 1.4760 
                 −0.2740 
                 2.3810 
               
               
                 1.3930 
                 −0.2830 
                 2.3810 
               
               
                 1.3070 
                 −0.2920 
                 2.3810 
               
               
                 1.2160 
                 −0.3000 
                 2.3810 
               
               
                 1.1220 
                 −0.3070 
                 2.3810 
               
               
                 1.0240 
                 −0.3140 
                 2.3810 
               
               
                 0.9230 
                 −0.3190 
                 2.3810 
               
               
                 0.8180 
                 −0.3220 
                 2.3810 
               
               
                 0.7100 
                 −0.3250 
                 2.3810 
               
               
                 0.6010 
                 −0.3260 
                 2.3810 
               
               
                 0.4930 
                 −0.3250 
                 2.3810 
               
               
                 0.3850 
                 −0.3210 
                 2.3810 
               
               
                 0.2770 
                 −0.3140 
                 2.3810 
               
               
                 0.1690 
                 −0.3050 
                 2.3810 
               
               
                 0.0610 
                 −0.2910 
                 2.3810 
               
               
                 −0.0460 
                 −0.2750 
                 2.3810 
               
               
                 −0.1530 
                 −0.2550 
                 2.3810 
               
               
                 −0.2600 
                 −0.2320 
                 2.3810 
               
               
                 −0.3670 
                 −0.2060 
                 2.3810 
               
               
                 −0.4720 
                 −0.1770 
                 2.3810 
               
               
                 −0.5740 
                 −0.1470 
                 2.3810 
               
               
                 −0.6710 
                 −0.1150 
                 2.3810 
               
               
                 −0.7630 
                 −0.0810 
                 2.3810 
               
               
                 −0.8520 
                 −0.0470 
                 2.3810 
               
               
                 −0.9360 
                 −0.0120 
                 2.3810 
               
               
                 −1.0160 
                 0.0230 
                 2.3810 
               
               
                 −1.0920 
                 0.0600 
                 2.3810 
               
               
                 −1.1640 
                 0.0960 
                 2.3810 
               
               
                 −1.2280 
                 0.1310 
                 2.3810 
               
               
                 −1.2850 
                 0.1640 
                 2.3810 
               
               
                 −1.3340 
                 0.1960 
                 2.3810 
               
               
                 −1.3790 
                 0.2270 
                 2.3810 
               
               
                 −1.4170 
                 0.2550 
                 2.3810 
               
               
                 −1.4450 
                 0.2780 
                 2.3810 
               
               
                 −1.4660 
                 0.2990 
                 2.3810 
               
               
                 −1.4790 
                 0.3160 
                 2.3810 
               
               
                 −1.4870 
                 0.3310 
                 2.3810 
               
               
                 −1.4900 
                 0.3390 
                 2.3810 
               
               
                 −1.4900 
                 0.3450 
                 2.3810 
               
               
                 −1.4900 
                 0.3480 
                 2.3810 
               
               
                 −1.4890 
                 0.3500 
                 2.3810 
               
               
                 −1.4890 
                 0.3500 
                 2.3810 
               
               
                 −1.4890 
                 0.3510 
                 2.3810 
               
               
                 −1.4880 
                 0.3520 
                 2.3810 
               
               
                 −1.4860 
                 0.3540 
                 2.3810 
               
               
                 −1.4820 
                 0.3580 
                 2.3810 
               
               
                 −1.4740 
                 0.3620 
                 2.3810 
               
               
                 −1.4580 
                 0.3650 
                 2.3810 
               
               
                 −1.4380 
                 0.3670 
                 2.3810 
               
               
                 −1.4100 
                 0.3660 
                 2.3810 
               
               
                 −1.3750 
                 0.3620 
                 2.3810 
               
               
                 −1.3300 
                 0.3540 
                 2.3810 
               
               
                 −1.2780 
                 0.3440 
                 2.3810 
               
               
                 −1.2230 
                 0.3330 
                 2.3810 
               
               
                 −1.1610 
                 0.3190 
                 2.3810 
               
               
                 −1.0930 
                 0.3020 
                 2.3810 
               
               
                 −1.0180 
                 0.2840 
                 2.3810 
               
               
                 −0.9400 
                 0.2650 
                 2.3810 
               
               
                 −0.8580 
                 0.2450 
                 2.3810 
               
               
                 −0.7720 
                 0.2240 
                 2.3810 
               
               
                 −0.6840 
                 0.2020 
                 2.3810 
               
               
                 −0.5920 
                 0.1800 
                 2.3810 
               
               
                 −0.4960 
                 0.1580 
                 2.3810 
               
               
                 −0.3970 
                 0.1350 
                 2.3810 
               
               
                 −0.2940 
                 0.1120 
                 2.3810 
               
               
                 −0.1910 
                 0.0900 
                 2.3810 
               
               
                 −0.0880 
                 0.0680 
                 2.3810 
               
               
                 0.0160 
                 0.0460 
                 2.3810 
               
               
                 0.1190 
                 0.0250 
                 2.3810 
               
               
                 0.2220 
                 0.0040 
                 2.3810 
               
               
                 0.3250 
                 −0.0170 
                 2.3810 
               
               
                 0.4290 
                 −0.0380 
                 2.3810 
               
               
                 0.5320 
                 −0.0580 
                 2.3810 
               
               
                 0.6360 
                 −0.0770 
                 2.3810 
               
               
                 0.7400 
                 −0.0940 
                 2.3810 
               
               
                 0.8440 
                 −0.1100 
                 2.3810 
               
               
                 0.9450 
                 −0.1230 
                 2.3810 
               
               
                 1.0430 
                 −0.1340 
                 2.3810 
               
               
                 1.1370 
                 −0.1430 
                 2.3810 
               
               
                 1.2280 
                 −0.1500 
                 2.3810 
               
               
                 1.3160 
                 −0.1560 
                 2.3810 
               
               
                 1.4000 
                 −0.1600 
                 2.3810 
               
               
                 1.4810 
                 −0.1620 
                 2.3810 
               
               
                 1.5540 
                 −0.1630 
                 2.3810 
               
               
                 1.6210 
                 −0.1630 
                 2.3810 
               
               
                 1.6810 
                 −0.1620 
                 2.3810 
               
               
                 1.7330 
                 −0.1600 
                 2.3810 
               
               
                 1.7790 
                 −0.1570 
                 2.3810 
               
               
                 1.8180 
                 −0.1540 
                 2.3810 
               
               
                 1.8510 
                 −0.1510 
                 2.3810 
               
               
                 1.8780 
                 −0.1480 
                 2.3810 
               
               
                 1.9010 
                 −0.1470 
                 2.3810 
               
               
                 1.9190 
                 −0.1470 
                 2.3810 
               
               
                 1.9320 
                 −0.1530 
                 2.3810 
               
               
                 1.9400 
                 −0.1600 
                 2.3810 
               
               
                 1.9450 
                 −0.1680 
                 2.3810 
               
               
                 1.9470 
                 −0.1750 
                 2.3810 
               
               
                 1.9500 
                 −0.2820 
                 3.1640 
               
               
                 1.9500 
                 −0.2870 
                 3.1640 
               
               
                 1.9480 
                 −0.2950 
                 3.1640 
               
               
                 1.9450 
                 −0.3030 
                 3.1640 
               
               
                 1.9370 
                 −0.3110 
                 3.1640 
               
               
                 1.9240 
                 −0.3170 
                 3.1640 
               
               
                 1.9050 
                 −0.3190 
                 3.1640 
               
               
                 1.8820 
                 −0.3200 
                 3.1640 
               
               
                 1.8540 
                 −0.3210 
                 3.1640 
               
               
                 1.8200 
                 −0.3230 
                 3.1640 
               
               
                 1.7800 
                 −0.3250 
                 3.1640 
               
               
                 1.7330 
                 −0.3270 
                 3.1640 
               
               
                 1.6790 
                 −0.3310 
                 3.1640 
               
               
                 1.6180 
                 −0.3340 
                 3.1640 
               
               
                 1.5490 
                 −0.3380 
                 3.1640 
               
               
                 1.4730 
                 −0.3420 
                 3.1640 
               
               
                 1.3910 
                 −0.3460 
                 3.1640 
               
               
                 1.3040 
                 −0.3500 
                 3.1640 
               
               
                 1.2140 
                 −0.3530 
                 3.1640 
               
               
                 1.1200 
                 −0.3550 
                 3.1640 
               
               
                 1.0220 
                 −0.3560 
                 3.1640 
               
               
                 0.9210 
                 −0.3550 
                 3.1640 
               
               
                 0.8170 
                 −0.3540 
                 3.1640 
               
               
                 0.7090 
                 −0.3510 
                 3.1640 
               
               
                 0.6020 
                 −0.3470 
                 3.1640 
               
               
                 0.4940 
                 −0.3410 
                 3.1640 
               
               
                 0.3870 
                 −0.3320 
                 3.1640 
               
               
                 0.2810 
                 −0.3210 
                 3.1640 
               
               
                 0.1750 
                 −0.3070 
                 3.1640 
               
               
                 0.0690 
                 −0.2890 
                 3.1640 
               
               
                 −0.0360 
                 −0.2690 
                 3.1640 
               
               
                 −0.1410 
                 −0.2450 
                 3.1640 
               
               
                 −0.2460 
                 −0.2190 
                 3.1640 
               
               
                 −0.3500 
                 −0.1900 
                 3.1640 
               
               
                 −0.4530 
                 −0.1580 
                 3.1640 
               
               
                 −0.5530 
                 −0.1250 
                 3.1640 
               
               
                 −0.6490 
                 −0.0910 
                 3.1640 
               
               
                 −0.7410 
                 −0.0550 
                 3.1640 
               
               
                 −0.8280 
                 −0.0190 
                 3.1640 
               
               
                 −0.9110 
                 0.0180 
                 3.1640 
               
               
                 −0.9910 
                 0.0550 
                 3.1640 
               
               
                 −1.0650 
                 0.0920 
                 3.1640 
               
               
                 −1.1360 
                 0.1300 
                 3.1640 
               
               
                 −1.2000 
                 0.1650 
                 3.1640 
               
               
                 −1.2560 
                 0.1990 
                 3.1640 
               
               
                 −1.3050 
                 0.2300 
                 3.1640 
               
               
                 −1.3500 
                 0.2610 
                 3.1640 
               
               
                 −1.3880 
                 0.2900 
                 3.1640 
               
               
                 −1.4160 
                 0.3130 
                 3.1640 
               
               
                 −1.4370 
                 0.3330 
                 3.1640 
               
               
                 −1.4510 
                 0.3500 
                 3.1640 
               
               
                 −1.4600 
                 0.3630 
                 3.1640 
               
               
                 −1.4630 
                 0.3720 
                 3.1640 
               
               
                 −1.4640 
                 0.3780 
                 3.1640 
               
               
                 −1.4630 
                 0.3810 
                 3.1640 
               
               
                 −1.4630 
                 0.3820 
                 3.1640 
               
               
                 −1.4630 
                 0.3830 
                 3.1640 
               
               
                 −1.4620 
                 0.3830 
                 3.1640 
               
               
                 −1.4620 
                 0.3850 
                 3.1640 
               
               
                 −1.4600 
                 0.3870 
                 3.1640 
               
               
                 −1.4550 
                 0.3900 
                 3.1640 
               
               
                 −1.4470 
                 0.3930 
                 3.1640 
               
               
                 −1.4310 
                 0.3950 
                 3.1640 
               
               
                 −1.4100 
                 0.3940 
                 3.1640 
               
               
                 −1.3820 
                 0.3910 
                 3.1640 
               
               
                 −1.3470 
                 0.3850 
                 3.1640 
               
               
                 −1.3030 
                 0.3750 
                 3.1640 
               
               
                 −1.2520 
                 0.3630 
                 3.1640 
               
               
                 −1.1970 
                 0.3480 
                 3.1640 
               
               
                 −1.1360 
                 0.3320 
                 3.1640 
               
               
                 −1.0690 
                 0.3120 
                 3.1640 
               
               
                 −0.9950 
                 0.2910 
                 3.1640 
               
               
                 −0.9170 
                 0.2680 
                 3.1640 
               
               
                 −0.8360 
                 0.2450 
                 3.1640 
               
               
                 −0.7520 
                 0.2210 
                 3.1640 
               
               
                 −0.6640 
                 0.1960 
                 3.1640 
               
               
                 −0.5730 
                 0.1700 
                 3.1640 
               
               
                 −0.4780 
                 0.1440 
                 3.1640 
               
               
                 −0.3800 
                 0.1180 
                 3.1640 
               
               
                 −0.2780 
                 0.0910 
                 3.1640 
               
               
                 −0.1760 
                 0.0650 
                 3.1640 
               
               
                 −0.0740 
                 0.0390 
                 3.1640 
               
               
                 0.0280 
                 0.0140 
                 3.1640 
               
               
                 0.1310 
                 −0.0110 
                 3.1640 
               
               
                 0.2330 
                 −0.0360 
                 3.1640 
               
               
                 0.3350 
                 −0.0600 
                 3.1640 
               
               
                 0.4380 
                 −0.0850 
                 3.1640 
               
               
                 0.5400 
                 −0.1080 
                 3.1640 
               
               
                 0.6430 
                 −0.1310 
                 3.1640 
               
               
                 0.7460 
                 −0.1530 
                 3.1640 
               
               
                 0.8500 
                 −0.1720 
                 3.1640 
               
               
                 0.9500 
                 −0.1890 
                 3.1640 
               
               
                 1.0470 
                 −0.2040 
                 3.1640 
               
               
                 1.1410 
                 −0.2160 
                 3.1640 
               
               
                 1.2320 
                 −0.2270 
                 3.1640 
               
               
                 1.3190 
                 −0.2360 
                 3.1640 
               
               
                 1.4030 
                 −0.2430 
                 3.1640 
               
               
                 1.4830 
                 −0.2490 
                 3.1640 
               
               
                 1.5570 
                 −0.2530 
                 3.1640 
               
               
                 1.6240 
                 −0.2550 
                 3.1640 
               
               
                 1.6830 
                 −0.2560 
                 3.1640 
               
               
                 1.7360 
                 −0.2570 
                 3.1640 
               
               
                 1.7820 
                 −0.2560 
                 3.1640 
               
               
                 1.8200 
                 −0.2550 
                 3.1640 
               
               
                 1.8530 
                 −0.2530 
                 3.1640 
               
               
                 1.8810 
                 −0.2520 
                 3.1640 
               
               
                 1.9040 
                 −0.2500 
                 3.1640 
               
               
                 1.9220 
                 −0.2500 
                 3.1640 
               
               
                 1.9350 
                 −0.2550 
                 3.1640 
               
               
                 1.9430 
                 −0.2630 
                 3.1640 
               
               
                 1.9470 
                 −0.2700 
                 3.1640 
               
               
                 1.9490 
                 −0.2770 
                 3.1640 
               
               
                 1.9450 
                 −0.3690 
                 3.9480 
               
               
                 1.9450 
                 −0.3750 
                 3.9480 
               
               
                 1.9430 
                 −0.3820 
                 3.9480 
               
               
                 1.9380 
                 −0.3900 
                 3.9480 
               
               
                 1.9300 
                 −0.3970 
                 3.9480 
               
               
                 1.9160 
                 −0.4010 
                 3.9480 
               
               
                 1.8970 
                 −0.4020 
                 3.9480 
               
               
                 1.8740 
                 −0.4020 
                 3.9480 
               
               
                 1.8460 
                 −0.4020 
                 3.9480 
               
               
                 1.8120 
                 −0.4020 
                 3.9480 
               
               
                 1.7720 
                 −0.4020 
                 3.9480 
               
               
                 1.7250 
                 −0.4020 
                 3.9480 
               
               
                 1.6710 
                 −0.4030 
                 3.9480 
               
               
                 1.6100 
                 −0.4040 
                 3.9480 
               
               
                 1.5410 
                 −0.4040 
                 3.9480 
               
               
                 1.4660 
                 −0.4050 
                 3.9480 
               
               
                 1.3830 
                 −0.4040 
                 3.9480 
               
               
                 1.2960 
                 −0.4040 
                 3.9480 
               
               
                 1.2060 
                 −0.4020 
                 3.9480 
               
               
                 1.1130 
                 −0.3990 
                 3.9480 
               
               
                 1.0150 
                 −0.3950 
                 3.9480 
               
               
                 0.9150 
                 −0.3900 
                 3.9480 
               
               
                 0.8110 
                 −0.3830 
                 3.9480 
               
               
                 0.7030 
                 −0.3750 
                 3.9480 
               
               
                 0.5950 
                 −0.3650 
                 3.9480 
               
               
                 0.4880 
                 −0.3540 
                 3.9480 
               
               
                 0.3810 
                 −0.3400 
                 3.9480 
               
               
                 0.2740 
                 −0.3240 
                 3.9480 
               
               
                 0.1680 
                 −0.3050 
                 3.9480 
               
               
                 0.0620 
                 −0.2830 
                 3.9480 
               
               
                 −0.0430 
                 −0.2580 
                 3.9480 
               
               
                 −0.1460 
                 −0.2310 
                 3.9480 
               
               
                 −0.2490 
                 −0.2020 
                 3.9480 
               
               
                 −0.3510 
                 −0.1700 
                 3.9480 
               
               
                 −0.4520 
                 −0.1350 
                 3.9480 
               
               
                 −0.5490 
                 −0.1000 
                 3.9480 
               
               
                 −0.6420 
                 −0.0640 
                 3.9480 
               
               
                 −0.7310 
                 −0.0270 
                 3.9480 
               
               
                 −0.8160 
                 0.0100 
                 3.9480 
               
               
                 −0.8970 
                 0.0480 
                 3.9480 
               
               
                 −0.9740 
                 0.0850 
                 3.9480 
               
               
                 −1.0470 
                 0.1240 
                 3.9480 
               
               
                 −1.1170 
                 0.1610 
                 3.9480 
               
               
                 −1.1790 
                 0.1970 
                 3.9480 
               
               
                 −1.2350 
                 0.2310 
                 3.9480 
               
               
                 −1.2830 
                 0.2630 
                 3.9480 
               
               
                 −1.3280 
                 0.2930 
                 3.9480 
               
               
                 −1.3660 
                 0.3210 
                 3.9480 
               
               
                 −1.3940 
                 0.3440 
                 3.9480 
               
               
                 −1.4150 
                 0.3640 
                 3.9480 
               
               
                 −1.4300 
                 0.3800 
                 3.9480 
               
               
                 −1.4390 
                 0.3930 
                 3.9480 
               
               
                 −1.4430 
                 0.4010 
                 3.9480 
               
               
                 −1.4440 
                 0.4070 
                 3.9480 
               
               
                 −1.4440 
                 0.4100 
                 3.9480 
               
               
                 −1.4430 
                 0.4110 
                 3.9480 
               
               
                 −1.4430 
                 0.4120 
                 3.9480 
               
               
                 −1.4430 
                 0.4120 
                 3.9480 
               
               
                 −1.4420 
                 0.4130 
                 3.9480 
               
               
                 −1.4400 
                 0.4150 
                 3.9480 
               
               
                 −1.4350 
                 0.4180 
                 3.9480 
               
               
                 −1.4260 
                 0.4200 
                 3.9480 
               
               
                 −1.4100 
                 0.4200 
                 3.9480 
               
               
                 −1.3890 
                 0.4180 
                 3.9480 
               
               
                 −1.3620 
                 0.4130 
                 3.9480 
               
               
                 −1.3280 
                 0.4050 
                 3.9480 
               
               
                 −1.2840 
                 0.3930 
                 3.9480 
               
               
                 −1.2330 
                 0.3780 
                 3.9480 
               
               
                 −1.1790 
                 0.3610 
                 3.9480 
               
               
                 −1.1190 
                 0.3420 
                 3.9480 
               
               
                 −1.0530 
                 0.3200 
                 3.9480 
               
               
                 −0.9790 
                 0.2960 
                 3.9480 
               
               
                 −0.9030 
                 0.2700 
                 3.9480 
               
               
                 −0.8230 
                 0.2440 
                 3.9480 
               
               
                 −0.7400 
                 0.2170 
                 3.9480 
               
               
                 −0.6530 
                 0.1890 
                 3.9480 
               
               
                 −0.5620 
                 0.1600 
                 3.9480 
               
               
                 −0.4690 
                 0.1310 
                 3.9480 
               
               
                 −0.3710 
                 0.1010 
                 3.9480 
               
               
                 −0.2710 
                 0.0710 
                 3.9480 
               
               
                 −0.1690 
                 0.0420 
                 3.9480 
               
               
                 −0.0680 
                 0.0130 
                 3.9480 
               
               
                 0.0330 
                 −0.0150 
                 3.9480 
               
               
                 0.1350 
                 −0.0430 
                 3.9480 
               
               
                 0.2360 
                 −0.0710 
                 3.9480 
               
               
                 0.3380 
                 −0.0980 
                 3.9480 
               
               
                 0.4390 
                 −0.1250 
                 3.9480 
               
               
                 0.5410 
                 −0.1510 
                 3.9480 
               
               
                 0.6430 
                 −0.1770 
                 3.9480 
               
               
                 0.7460 
                 −0.2010 
                 3.9480 
               
               
                 0.8490 
                 −0.2230 
                 3.9480 
               
               
                 0.9480 
                 −0.2430 
                 3.9480 
               
               
                 1.0450 
                 −0.2600 
                 3.9480 
               
               
                 1.1380 
                 −0.2760 
                 3.9480 
               
               
                 1.2280 
                 −0.2890 
                 3.9480 
               
               
                 1.3150 
                 −0.3010 
                 3.9480 
               
               
                 1.3990 
                 −0.3110 
                 3.9480 
               
               
                 1.4790 
                 −0.3190 
                 3.9480 
               
               
                 1.5520 
                 −0.3260 
                 3.9480 
               
               
                 1.6190 
                 −0.3310 
                 3.9480 
               
               
                 1.6780 
                 −0.3340 
                 3.9480 
               
               
                 1.7310 
                 −0.3370 
                 3.9480 
               
               
                 1.7760 
                 −0.3380 
                 3.9480 
               
               
                 1.8150 
                 −0.3390 
                 3.9480 
               
               
                 1.8480 
                 −0.3390 
                 3.9480 
               
               
                 1.8760 
                 −0.3380 
                 3.9480 
               
               
                 1.8990 
                 −0.3380 
                 3.9480 
               
               
                 1.9170 
                 −0.3380 
                 3.9480 
               
               
                 1.9300 
                 −0.3430 
                 3.9480 
               
               
                 1.9380 
                 −0.3500 
                 3.9480 
               
               
                 1.9430 
                 −0.3570 
                 3.9480 
               
               
                 1.9450 
                 −0.3640 
                 3.9480 
               
               
                 1.9300 
                 −0.4470 
                 4.7310 
               
               
                 1.9300 
                 −0.4520 
                 4.7310 
               
               
                 1.9280 
                 −0.4590 
                 4.7310 
               
               
                 1.9230 
                 −0.4660 
                 4.7310 
               
               
                 1.9140 
                 −0.4730 
                 4.7310 
               
               
                 1.9000 
                 −0.4770 
                 4.7310 
               
               
                 1.8820 
                 −0.4770 
                 4.7310 
               
               
                 1.8580 
                 −0.4760 
                 4.7310 
               
               
                 1.8300 
                 −0.4750 
                 4.7310 
               
               
                 1.7970 
                 −0.4740 
                 4.7310 
               
               
                 1.7570 
                 −0.4720 
                 4.7310 
               
               
                 1.7110 
                 −0.4700 
                 4.7310 
               
               
                 1.6570 
                 −0.4680 
                 4.7310 
               
               
                 1.5960 
                 −0.4660 
                 4.7310 
               
               
                 1.5280 
                 −0.4630 
                 4.7310 
               
               
                 1.4530 
                 −0.4600 
                 4.7310 
               
               
                 1.3710 
                 −0.4550 
                 4.7310 
               
               
                 1.2850 
                 −0.4500 
                 4.7310 
               
               
                 1.1960 
                 −0.4440 
                 4.7310 
               
               
                 1.1040 
                 −0.4370 
                 4.7310 
               
               
                 1.0070 
                 −0.4280 
                 4.7310 
               
               
                 0.9080 
                 −0.4180 
                 4.7310 
               
               
                 0.8050 
                 −0.4060 
                 4.7310 
               
               
                 0.6980 
                 −0.3930 
                 4.7310 
               
               
                 0.5920 
                 −0.3790 
                 4.7310 
               
               
                 0.4860 
                 −0.3630 
                 4.7310 
               
               
                 0.3810 
                 −0.3450 
                 4.7310 
               
               
                 0.2760 
                 −0.3250 
                 4.7310 
               
               
                 0.1720 
                 −0.3020 
                 4.7310 
               
               
                 0.0690 
                 −0.2770 
                 4.7310 
               
               
                 −0.0340 
                 −0.2490 
                 4.7310 
               
               
                 −0.1360 
                 −0.2190 
                 4.7310 
               
               
                 −0.2380 
                 −0.1860 
                 4.7310 
               
               
                 −0.3390 
                 −0.1520 
                 4.7310 
               
               
                 −0.4400 
                 −0.1150 
                 4.7310 
               
               
                 −0.5370 
                 −0.0770 
                 4.7310 
               
               
                 −0.6300 
                 −0.0390 
                 4.7310 
               
               
                 −0.7190 
                 0.0000 
                 4.7310 
               
               
                 −0.8030 
                 0.0390 
                 4.7310 
               
               
                 −0.8840 
                 0.0780 
                 4.7310 
               
               
                 −0.9610 
                 0.1170 
                 4.7310 
               
               
                 −1.0340 
                 0.1560 
                 4.7310 
               
               
                 −1.1030 
                 0.1950 
                 4.7310 
               
               
                 −1.1650 
                 0.2310 
                 4.7310 
               
               
                 −1.2200 
                 0.2650 
                 4.7310 
               
               
                 −1.2680 
                 0.2960 
                 4.7310 
               
               
                 −1.3130 
                 0.3270 
                 4.7310 
               
               
                 −1.3510 
                 0.3540 
                 4.7310 
               
               
                 −1.3790 
                 0.3760 
                 4.7310 
               
               
                 −1.4010 
                 0.3950 
                 4.7310 
               
               
                 −1.4160 
                 0.4100 
                 4.7310 
               
               
                 −1.4260 
                 0.4230 
                 4.7310 
               
               
                 −1.4300 
                 0.4310 
                 4.7310 
               
               
                 −1.4320 
                 0.4360 
                 4.7310 
               
               
                 −1.4310 
                 0.4390 
                 4.7310 
               
               
                 −1.4310 
                 0.4410 
                 4.7310 
               
               
                 −1.4310 
                 0.4410 
                 4.7310 
               
               
                 −1.4300 
                 0.4420 
                 4.7310 
               
               
                 −1.4290 
                 0.4430 
                 4.7310 
               
               
                 −1.4270 
                 0.4450 
                 4.7310 
               
               
                 −1.4220 
                 0.4470 
                 4.7310 
               
               
                 −1.4130 
                 0.4480 
                 4.7310 
               
               
                 −1.3970 
                 0.4460 
                 4.7310 
               
               
                 −1.3770 
                 0.4420 
                 4.7310 
               
               
                 −1.3500 
                 0.4350 
                 4.7310 
               
               
                 −1.3160 
                 0.4250 
                 4.7310 
               
               
                 −1.2730 
                 0.4110 
                 4.7310 
               
               
                 −1.2230 
                 0.3940 
                 4.7310 
               
               
                 −1.1700 
                 0.3750 
                 4.7310 
               
               
                 −1.1110 
                 0.3530 
                 4.7310 
               
               
                 −1.0450 
                 0.3280 
                 4.7310 
               
               
                 −0.9730 
                 0.3010 
                 4.7310 
               
               
                 −0.8980 
                 0.2730 
                 4.7310 
               
               
                 −0.8190 
                 0.2430 
                 4.7310 
               
               
                 −0.7360 
                 0.2130 
                 4.7310 
               
               
                 −0.6510 
                 0.1820 
                 4.7310 
               
               
                 −0.5620 
                 0.1510 
                 4.7310 
               
               
                 −0.4690 
                 0.1180 
                 4.7310 
               
               
                 −0.3730 
                 0.0860 
                 4.7310 
               
               
                 −0.2730 
                 0.0530 
                 4.7310 
               
               
                 −0.1730 
                 0.0200 
                 4.7310 
               
               
                 −0.0720 
                 −0.0120 
                 4.7310 
               
               
                 0.0280 
                 −0.0430 
                 4.7310 
               
               
                 0.1290 
                 −0.0730 
                 4.7310 
               
               
                 0.2290 
                 −0.1040 
                 4.7310 
               
               
                 0.3300 
                 −0.1330 
                 4.7310 
               
               
                 0.4310 
                 −0.1630 
                 4.7310 
               
               
                 0.5330 
                 −0.1910 
                 4.7310 
               
               
                 0.6340 
                 −0.2190 
                 4.7310 
               
               
                 0.7360 
                 −0.2450 
                 4.7310 
               
               
                 0.8380 
                 −0.2700 
                 4.7310 
               
               
                 0.9370 
                 −0.2920 
                 4.7310 
               
               
                 1.0340 
                 −0.3110 
                 4.7310 
               
               
                 1.1270 
                 −0.3290 
                 4.7310 
               
               
                 1.2160 
                 −0.3450 
                 4.7310 
               
               
                 1.3030 
                 −0.3590 
                 4.7310 
               
               
                 1.3860 
                 −0.3710 
                 4.7310 
               
               
                 1.4660 
                 −0.3820 
                 4.7310 
               
               
                 1.5390 
                 −0.3900 
                 4.7310 
               
               
                 1.6050 
                 −0.3970 
                 4.7310 
               
               
                 1.6650 
                 −0.4030 
                 4.7310 
               
               
                 1.7170 
                 −0.4070 
                 4.7310 
               
               
                 1.7630 
                 −0.4090 
                 4.7310 
               
               
                 1.8010 
                 −0.4110 
                 4.7310 
               
               
                 1.8340 
                 −0.4120 
                 4.7310 
               
               
                 1.8620 
                 −0.4130 
                 4.7310 
               
               
                 1.8850 
                 −0.4140 
                 4.7310 
               
               
                 1.9030 
                 −0.4150 
                 4.7310 
               
               
                 1.9160 
                 −0.4190 
                 4.7310 
               
               
                 1.9240 
                 −0.4270 
                 4.7310 
               
               
                 1.9280 
                 −0.4340 
                 4.7310 
               
               
                 1.9300 
                 −0.4410 
                 4.7310 
               
               
                 1.9150 
                 −0.5160 
                 5.5150 
               
               
                 1.9150 
                 −0.5220 
                 5.5150 
               
               
                 1.9120 
                 −0.5280 
                 5.5150 
               
               
                 1.9070 
                 −0.5360 
                 5.5150 
               
               
                 1.8980 
                 −0.5420 
                 5.5150 
               
               
                 1.8840 
                 −0.5440 
                 5.5150 
               
               
                 1.8660 
                 −0.5440 
                 5.5150 
               
               
                 1.8420 
                 −0.5430 
                 5.5150 
               
               
                 1.8140 
                 −0.5410 
                 5.5150 
               
               
                 1.7810 
                 −0.5380 
                 5.5150 
               
               
                 1.7420 
                 −0.5340 
                 5.5150 
               
               
                 1.6960 
                 −0.5300 
                 5.5150 
               
               
                 1.6430 
                 −0.5260 
                 5.5150 
               
               
                 1.5820 
                 −0.5210 
                 5.5150 
               
               
                 1.5150 
                 −0.5150 
                 5.5150 
               
               
                 1.4400 
                 −0.5080 
                 5.5150 
               
               
                 1.3590 
                 −0.5000 
                 5.5150 
               
               
                 1.2740 
                 −0.4910 
                 5.5150 
               
               
                 1.1850 
                 −0.4810 
                 5.5150 
               
               
                 1.0930 
                 −0.4700 
                 5.5150 
               
               
                 0.9980 
                 −0.4570 
                 5.5150 
               
               
                 0.9000 
                 −0.4420 
                 5.5150 
               
               
                 0.7980 
                 −0.4260 
                 5.5150 
               
               
                 0.6930 
                 −0.4080 
                 5.5150 
               
               
                 0.5880 
                 −0.3890 
                 5.5150 
               
               
                 0.4830 
                 −0.3690 
                 5.5150 
               
               
                 0.3780 
                 −0.3460 
                 5.5150 
               
               
                 0.2740 
                 −0.3220 
                 5.5150 
               
               
                 0.1710 
                 −0.2960 
                 5.5150 
               
               
                 0.0680 
                 −0.2670 
                 5.5150 
               
               
                 −0.0340 
                 −0.2360 
                 5.5150 
               
               
                 −0.1360 
                 −0.2030 
                 5.5150 
               
               
                 −0.2360 
                 −0.1670 
                 5.5150 
               
               
                 −0.3370 
                 −0.1300 
                 5.5150 
               
               
                 −0.4360 
                 −0.0910 
                 5.5150 
               
               
                 −0.5310 
                 −0.0510 
                 5.5150 
               
               
                 −0.6230 
                 −0.0110 
                 5.5150 
               
               
                 −0.7100 
                 0.0290 
                 5.5150 
               
               
                 −0.7940 
                 0.0690 
                 5.5150 
               
               
                 −0.8730 
                 0.1090 
                 5.5150 
               
               
                 −0.9490 
                 0.1490 
                 5.5150 
               
               
                 −1.0210 
                 0.1890 
                 5.5150 
               
               
                 −1.0890 
                 0.2280 
                 5.5150 
               
               
                 −1.1500 
                 0.2640 
                 5.5150 
               
               
                 −1.2040 
                 0.2980 
                 5.5150 
               
               
                 −1.2520 
                 0.3290 
                 5.5150 
               
               
                 −1.2960 
                 0.3590 
                 5.5150 
               
               
                 −1.3340 
                 0.3860 
                 5.5150 
               
               
                 −1.3620 
                 0.4080 
                 5.5150 
               
               
                 −1.3840 
                 0.4260 
                 5.5150 
               
               
                 −1.4000 
                 0.4400 
                 5.5150 
               
               
                 −1.4110 
                 0.4520 
                 5.5150 
               
               
                 −1.4160 
                 0.4600 
                 5.5150 
               
               
                 −1.4170 
                 0.4650 
                 5.5150 
               
               
                 −1.4170 
                 0.4680 
                 5.5150 
               
               
                 −1.4170 
                 0.4690 
                 5.5150 
               
               
                 −1.4170 
                 0.4700 
                 5.5150 
               
               
                 −1.4160 
                 0.4710 
                 5.5150 
               
               
                 −1.4150 
                 0.4720 
                 5.5150 
               
               
                 −1.4130 
                 0.4730 
                 5.5150 
               
               
                 −1.4070 
                 0.4750 
                 5.5150 
               
               
                 −1.3990 
                 0.4750 
                 5.5150 
               
               
                 −1.3830 
                 0.4720 
                 5.5150 
               
               
                 −1.3630 
                 0.4660 
                 5.5150 
               
               
                 −1.3360 
                 0.4570 
                 5.5150 
               
               
                 −1.3030 
                 0.4450 
                 5.5150 
               
               
                 −1.2610 
                 0.4280 
                 5.5150 
               
               
                 −1.2120 
                 0.4090 
                 5.5150 
               
               
                 −1.1600 
                 0.3870 
                 5.5150 
               
               
                 −1.1020 
                 0.3630 
                 5.5150 
               
               
                 −1.0380 
                 0.3350 
                 5.5150 
               
               
                 −0.9660 
                 0.3060 
                 5.5150 
               
               
                 −0.8920 
                 0.2750 
                 5.5150 
               
               
                 −0.8140 
                 0.2430 
                 5.5150 
               
               
                 −0.7330 
                 0.2100 
                 5.5150 
               
               
                 −0.6490 
                 0.1760 
                 5.5150 
               
               
                 −0.5600 
                 0.1410 
                 5.5150 
               
               
                 −0.4690 
                 0.1060 
                 5.5150 
               
               
                 −0.3740 
                 0.0710 
                 5.5150 
               
               
                 −0.2750 
                 0.0350 
                 5.5150 
               
               
                 −0.1760 
                 −0.0010 
                 5.5150 
               
               
                 −0.0770 
                 −0.0350 
                 5.5150 
               
               
                 0.0230 
                 −0.0690 
                 5.5150 
               
               
                 0.1230 
                 −0.1020 
                 5.5150 
               
               
                 0.2230 
                 −0.1350 
                 5.5150 
               
               
                 0.3230 
                 −0.1670 
                 5.5150 
               
               
                 0.4230 
                 −0.1980 
                 5.5150 
               
               
                 0.5240 
                 −0.2290 
                 5.5150 
               
               
                 0.6250 
                 −0.2590 
                 5.5150 
               
               
                 0.7260 
                 −0.2870 
                 5.5150 
               
               
                 0.8280 
                 −0.3140 
                 5.5150 
               
               
                 0.9260 
                 −0.3370 
                 5.5150 
               
               
                 1.0220 
                 −0.3590 
                 5.5150 
               
               
                 1.1150 
                 −0.3790 
                 5.5150 
               
               
                 1.2040 
                 −0.3960 
                 5.5150 
               
               
                 1.2900 
                 −0.4120 
                 5.5150 
               
               
                 1.3730 
                 −0.4260 
                 5.5150 
               
               
                 1.4530 
                 −0.4390 
                 5.5150 
               
               
                 1.5260 
                 −0.4490 
                 5.5150 
               
               
                 1.5920 
                 −0.4580 
                 5.5150 
               
               
                 1.6510 
                 −0.4650 
                 5.5150 
               
               
                 1.7030 
                 −0.4700 
                 5.5150 
               
               
                 1.7490 
                 −0.4740 
                 5.5150 
               
               
                 1.7870 
                 −0.4770 
                 5.5150 
               
               
                 1.8200 
                 −0.4790 
                 5.5150 
               
               
                 1.8480 
                 −0.4810 
                 5.5150 
               
               
                 1.8700 
                 −0.4830 
                 5.5150 
               
               
                 1.8890 
                 −0.4850 
                 5.5150 
               
               
                 1.9020 
                 −0.4890 
                 5.5150 
               
               
                 1.9100 
                 −0.4960 
                 5.5150 
               
               
                 1.9140 
                 −0.5040 
                 5.5150 
               
               
                 1.9150 
                 −0.5110 
                 5.5150 
               
               
                 1.9100 
                 −0.5810 
                 6.2980 
               
               
                 1.9090 
                 −0.5860 
                 6.2980 
               
               
                 1.9060 
                 −0.5930 
                 6.2980 
               
               
                 1.9010 
                 −0.5990 
                 6.2980 
               
               
                 1.8910 
                 −0.6040 
                 6.2980 
               
               
                 1.8770 
                 −0.6050 
                 6.2980 
               
               
                 1.8590 
                 −0.6030 
                 6.2980 
               
               
                 1.8360 
                 −0.6010 
                 6.2980 
               
               
                 1.8080 
                 −0.5980 
                 6.2980 
               
               
                 1.7750 
                 −0.5950 
                 6.2980 
               
               
                 1.7360 
                 −0.5900 
                 6.2980 
               
               
                 1.6900 
                 −0.5850 
                 6.2980 
               
               
                 1.6370 
                 −0.5780 
                 6.2980 
               
               
                 1.5770 
                 −0.5710 
                 6.2980 
               
               
                 1.5100 
                 −0.5630 
                 6.2980 
               
               
                 1.4360 
                 −0.5530 
                 6.2980 
               
               
                 1.3560 
                 −0.5420 
                 6.2980 
               
               
                 1.2710 
                 −0.5300 
                 6.2980 
               
               
                 1.1840 
                 −0.5160 
                 6.2980 
               
               
                 1.0930 
                 −0.5010 
                 6.2980 
               
               
                 0.9980 
                 −0.4850 
                 6.2980 
               
               
                 0.9010 
                 −0.4660 
                 6.2980 
               
               
                 0.8000 
                 −0.4460 
                 6.2980 
               
               
                 0.6960 
                 −0.4240 
                 6.2980 
               
               
                 0.5920 
                 −0.4020 
                 6.2980 
               
               
                 0.4890 
                 −0.3770 
                 6.2980 
               
               
                 0.3850 
                 −0.3510 
                 6.2980 
               
               
                 0.2830 
                 −0.3240 
                 6.2980 
               
               
                 0.1800 
                 −0.2940 
                 6.2980 
               
               
                 0.0790 
                 −0.2620 
                 6.2980 
               
               
                 −0.0220 
                 −0.2280 
                 6.2980 
               
               
                 −0.1220 
                 −0.1920 
                 6.2980 
               
               
                 −0.2220 
                 −0.1540 
                 6.2980 
               
               
                 −0.3210 
                 −0.1150 
                 6.2980 
               
               
                 −0.4190 
                 −0.0730 
                 6.2980 
               
               
                 −0.5130 
                 −0.0320 
                 6.2980 
               
               
                 −0.6030 
                 0.0100 
                 6.2980 
               
               
                 −0.6900 
                 0.0520 
                 6.2980 
               
               
                 −0.7720 
                 0.0930 
                 6.2980 
               
               
                 −0.8510 
                 0.1340 
                 6.2980 
               
               
                 −0.9260 
                 0.1750 
                 6.2980 
               
               
                 −0.9970 
                 0.2150 
                 6.2980 
               
               
                 −1.0640 
                 0.2550 
                 6.2980 
               
               
                 −1.1250 
                 0.2920 
                 6.2980 
               
               
                 −1.1790 
                 0.3260 
                 6.2980 
               
               
                 −1.2260 
                 0.3570 
                 6.2980 
               
               
                 −1.2700 
                 0.3870 
                 6.2980 
               
               
                 −1.3080 
                 0.4140 
                 6.2980 
               
               
                 −1.3360 
                 0.4350 
                 6.2980 
               
               
                 −1.3590 
                 0.4530 
                 6.2980 
               
               
                 −1.3750 
                 0.4670 
                 6.2980 
               
               
                 −1.3860 
                 0.4780 
                 6.2980 
               
               
                 −1.3910 
                 0.4860 
                 6.2980 
               
               
                 −1.3930 
                 0.4910 
                 6.2980 
               
               
                 −1.3930 
                 0.4940 
                 6.2980 
               
               
                 −1.3930 
                 0.4950 
                 6.2980 
               
               
                 −1.3920 
                 0.4960 
                 6.2980 
               
               
                 −1.3920 
                 0.4960 
                 6.2980 
               
               
                 −1.3910 
                 0.4970 
                 6.2980 
               
               
                 −1.3880 
                 0.4990 
                 6.2980 
               
               
                 −1.3830 
                 0.5000 
                 6.2980 
               
               
                 −1.3740 
                 0.4990 
                 6.2980 
               
               
                 −1.3590 
                 0.4940 
                 6.2980 
               
               
                 −1.3390 
                 0.4870 
                 6.2980 
               
               
                 −1.3130 
                 0.4770 
                 6.2980 
               
               
                 −1.2810 
                 0.4630 
                 6.2980 
               
               
                 −1.2390 
                 0.4450 
                 6.2980 
               
               
                 −1.1910 
                 0.4230 
                 6.2980 
               
               
                 −1.1410 
                 0.3990 
                 6.2980 
               
               
                 −1.0830 
                 0.3730 
                 6.2980 
               
               
                 −1.0200 
                 0.3430 
                 6.2980 
               
               
                 −0.9500 
                 0.3110 
                 6.2980 
               
               
                 −0.8770 
                 0.2770 
                 6.2980 
               
               
                 −0.8000 
                 0.2430 
                 6.2980 
               
               
                 −0.7200 
                 0.2070 
                 6.2980 
               
               
                 −0.6370 
                 0.1710 
                 6.2980 
               
               
                 −0.5500 
                 0.1340 
                 6.2980 
               
               
                 −0.4590 
                 0.0960 
                 6.2980 
               
               
                 −0.3650 
                 0.0580 
                 6.2980 
               
               
                 −0.2670 
                 0.0190 
                 6.2980 
               
               
                 −0.1690 
                 −0.0190 
                 6.2980 
               
               
                 −0.0710 
                 −0.0560 
                 6.2980 
               
               
                 0.0280 
                 −0.0920 
                 6.2980 
               
               
                 0.1260 
                 −0.1280 
                 6.2980 
               
               
                 0.2260 
                 −0.1630 
                 6.2980 
               
               
                 0.3250 
                 −0.1970 
                 6.2980 
               
               
                 0.4240 
                 −0.2300 
                 6.2980 
               
               
                 0.5240 
                 −0.2630 
                 6.2980 
               
               
                 0.6250 
                 −0.2940 
                 6.2980 
               
               
                 0.7250 
                 −0.3250 
                 6.2980 
               
               
                 0.8260 
                 −0.3530 
                 6.2980 
               
               
                 0.9250 
                 −0.3790 
                 6.2980 
               
               
                 1.0200 
                 −0.4030 
                 6.2980 
               
               
                 1.1120 
                 −0.4240 
                 6.2980 
               
               
                 1.2010 
                 −0.4440 
                 6.2980 
               
               
                 1.2870 
                 −0.4620 
                 6.2980 
               
               
                 1.3690 
                 −0.4780 
                 6.2980 
               
               
                 1.4480 
                 −0.4930 
                 6.2980 
               
               
                 1.5210 
                 −0.5050 
                 6.2980 
               
               
                 1.5870 
                 −0.5150 
                 6.2980 
               
               
                 1.6460 
                 −0.5240 
                 6.2980 
               
               
                 1.6980 
                 −0.5310 
                 6.2980 
               
               
                 1.7430 
                 −0.5360 
                 6.2980 
               
               
                 1.7810 
                 −0.5400 
                 6.2980 
               
               
                 1.8140 
                 −0.5440 
                 6.2980 
               
               
                 1.8420 
                 −0.5460 
                 6.2980 
               
               
                 1.8640 
                 −0.5490 
                 6.2980 
               
               
                 1.8820 
                 −0.5510 
                 6.2980 
               
               
                 1.8960 
                 −0.5540 
                 6.2980 
               
               
                 1.9040 
                 −0.5610 
                 6.2980 
               
               
                 1.9090 
                 −0.5680 
                 6.2980 
               
               
                 1.9100 
                 −0.5750 
                 6.2980 
               
               
                 1.9130 
                 −0.6420 
                 7.0820 
               
               
                 1.9120 
                 −0.6470 
                 7.0820 
               
               
                 1.9090 
                 −0.6530 
                 7.0820 
               
               
                 1.9030 
                 −0.6600 
                 7.0820 
               
               
                 1.8930 
                 −0.6640 
                 7.0820 
               
               
                 1.8790 
                 −0.6630 
                 7.0820 
               
               
                 1.8610 
                 −0.6610 
                 7.0820 
               
               
                 1.8380 
                 −0.6590 
                 7.0820 
               
               
                 1.8100 
                 −0.6550 
                 7.0820 
               
               
                 1.7770 
                 −0.6510 
                 7.0820 
               
               
                 1.7380 
                 −0.6460 
                 7.0820 
               
               
                 1.6930 
                 −0.6400 
                 7.0820 
               
               
                 1.6400 
                 −0.6320 
                 7.0820 
               
               
                 1.5800 
                 −0.6230 
                 7.0820 
               
               
                 1.5140 
                 −0.6130 
                 7.0820 
               
               
                 1.4410 
                 −0.6010 
                 7.0820 
               
               
                 1.3600 
                 −0.5870 
                 7.0820 
               
               
                 1.2770 
                 −0.5720 
                 7.0820 
               
               
                 1.1900 
                 −0.5550 
                 7.0820 
               
               
                 1.0990 
                 −0.5370 
                 7.0820 
               
               
                 1.0060 
                 −0.5170 
                 7.0820 
               
               
                 0.9090 
                 −0.4960 
                 7.0820 
               
               
                 0.8090 
                 −0.4730 
                 7.0820 
               
               
                 0.7060 
                 −0.4480 
                 7.0820 
               
               
                 0.6030 
                 −0.4220 
                 7.0820 
               
               
                 0.5010 
                 −0.3940 
                 7.0820 
               
               
                 0.3990 
                 −0.3650 
                 7.0820 
               
               
                 0.2970 
                 −0.3340 
                 7.0820 
               
               
                 0.1960 
                 −0.3010 
                 7.0820 
               
               
                 0.0960 
                 −0.2660 
                 7.0820 
               
               
                 −0.0040 
                 −0.2300 
                 7.0820 
               
               
                 −0.1030 
                 −0.1910 
                 7.0820 
               
               
                 −0.2010 
                 −0.1510 
                 7.0820 
               
               
                 −0.2990 
                 −0.1090 
                 7.0820 
               
               
                 −0.3960 
                 −0.0660 
                 7.0820 
               
               
                 −0.4890 
                 −0.0220 
                 7.0820 
               
               
                 −0.5780 
                 0.0220 
                 7.0820 
               
               
                 −0.6630 
                 0.0650 
                 7.0820 
               
               
                 −0.7450 
                 0.1080 
                 7.0820 
               
               
                 −0.8220 
                 0.1510 
                 7.0820 
               
               
                 −0.8960 
                 0.1930 
                 7.0820 
               
               
                 −0.9660 
                 0.2340 
                 7.0820 
               
               
                 −1.0330 
                 0.2750 
                 7.0820 
               
               
                 −1.0930 
                 0.3130 
                 7.0820 
               
               
                 −1.1460 
                 0.3480 
                 7.0820 
               
               
                 −1.1930 
                 0.3800 
                 7.0820 
               
               
                 −1.2370 
                 0.4100 
                 7.0820 
               
               
                 −1.2740 
                 0.4370 
                 7.0820 
               
               
                 −1.3020 
                 0.4590 
                 7.0820 
               
               
                 −1.3240 
                 0.4760 
                 7.0820 
               
               
                 −1.3400 
                 0.4900 
                 7.0820 
               
               
                 −1.3520 
                 0.5010 
                 7.0820 
               
               
                 −1.3570 
                 0.5090 
                 7.0820 
               
               
                 −1.3590 
                 0.5140 
                 7.0820 
               
               
                 −1.3590 
                 0.5170 
                 7.0820 
               
               
                 −1.3590 
                 0.5180 
                 7.0820 
               
               
                 −1.3590 
                 0.5190 
                 7.0820 
               
               
                 −1.3580 
                 0.5190 
                 7.0820 
               
               
                 −1.3570 
                 0.5200 
                 7.0820 
               
               
                 −1.3550 
                 0.5210 
                 7.0820 
               
               
                 −1.3490 
                 0.5220 
                 7.0820 
               
               
                 −1.3400 
                 0.5200 
                 7.0820 
               
               
                 −1.3250 
                 0.5150 
                 7.0820 
               
               
                 −1.3060 
                 0.5070 
                 7.0820 
               
               
                 −1.2800 
                 0.4960 
                 7.0820 
               
               
                 −1.2490 
                 0.4820 
                 7.0820 
               
               
                 −1.2070 
                 0.4620 
                 7.0820 
               
               
                 −1.1600 
                 0.4390 
                 7.0820 
               
               
                 −1.1100 
                 0.4140 
                 7.0820 
               
               
                 −1.0540 
                 0.3860 
                 7.0820 
               
               
                 −0.9910 
                 0.3540 
                 7.0820 
               
               
                 −0.9220 
                 0.3200 
                 7.0820 
               
               
                 −0.8500 
                 0.2850 
                 7.0820 
               
               
                 −0.7740 
                 0.2480 
                 7.0820 
               
               
                 −0.6950 
                 0.2110 
                 7.0820 
               
               
                 −0.6130 
                 0.1720 
                 7.0820 
               
               
                 −0.5270 
                 0.1330 
                 7.0820 
               
               
                 −0.4380 
                 0.0930 
                 7.0820 
               
               
                 −0.3450 
                 0.0520 
                 7.0820 
               
               
                 −0.2480 
                 0.0110 
                 7.0820 
               
               
                 −0.1510 
                 −0.0300 
                 7.0820 
               
               
                 −0.0540 
                 −0.0690 
                 7.0820 
               
               
                 0.0440 
                 −0.1080 
                 7.0820 
               
               
                 0.1420 
                 −0.1460 
                 7.0820 
               
               
                 0.2400 
                 −0.1830 
                 7.0820 
               
               
                 0.3380 
                 −0.2200 
                 7.0820 
               
               
                 0.4370 
                 −0.2550 
                 7.0820 
               
               
                 0.5360 
                 −0.2900 
                 7.0820 
               
               
                 0.6350 
                 −0.3240 
                 7.0820 
               
               
                 0.7350 
                 −0.3570 
                 7.0820 
               
               
                 0.8350 
                 −0.3880 
                 7.0820 
               
               
                 0.9320 
                 −0.4160 
                 7.0820 
               
               
                 1.0270 
                 −0.4430 
                 7.0820 
               
               
                 1.1180 
                 −0.4670 
                 7.0820 
               
               
                 1.2060 
                 −0.4890 
                 7.0820 
               
               
                 1.2920 
                 −0.5090 
                 7.0820 
               
               
                 1.3730 
                 −0.5280 
                 7.0820 
               
               
                 1.4520 
                 −0.5450 
                 7.0820 
               
               
                 1.5240 
                 −0.5600 
                 7.0820 
               
               
                 1.5900 
                 −0.5720 
                 7.0820 
               
               
                 1.6480 
                 −0.5820 
                 7.0820 
               
               
                 1.7000 
                 −0.5900 
                 7.0820 
               
               
                 1.7450 
                 −0.5970 
                 7.0820 
               
               
                 1.7830 
                 −0.6020 
                 7.0820 
               
               
                 1.8160 
                 −0.6060 
                 7.0820 
               
               
                 1.8430 
                 −0.6100 
                 7.0820 
               
               
                 1.8660 
                 −0.6120 
                 7.0820 
               
               
                 1.8840 
                 −0.6140 
                 7.0820 
               
               
                 1.8980 
                 −0.6160 
                 7.0820 
               
               
                 1.9070 
                 −0.6220 
                 7.0820 
               
               
                 1.9110 
                 −0.6290 
                 7.0820 
               
               
                 1.9130 
                 −0.6360 
                 7.0820 
               
               
                 1.9210 
                 −0.6980 
                 7.8650 
               
               
                 1.9200 
                 −0.7040 
                 7.8650 
               
               
                 1.9170 
                 −0.7100 
                 7.8650 
               
               
                 1.9100 
                 −0.7160 
                 7.8650 
               
               
                 1.9000 
                 −0.7190 
                 7.8650 
               
               
                 1.8860 
                 −0.7180 
                 7.8650 
               
               
                 1.8680 
                 −0.7150 
                 7.8650 
               
               
                 1.8450 
                 −0.7120 
                 7.8650 
               
               
                 1.8170 
                 −0.7090 
                 7.8650 
               
               
                 1.7840 
                 −0.7040 
                 7.8650 
               
               
                 1.7460 
                 −0.6990 
                 7.8650 
               
               
                 1.7000 
                 −0.6920 
                 7.8650 
               
               
                 1.6480 
                 −0.6830 
                 7.8650 
               
               
                 1.5890 
                 −0.6730 
                 7.8650 
               
               
                 1.5230 
                 −0.6600 
                 7.8650 
               
               
                 1.4500 
                 −0.6460 
                 7.8650 
               
               
                 1.3700 
                 −0.6300 
                 7.8650 
               
               
                 1.2870 
                 −0.6130 
                 7.8650 
               
               
                 1.2010 
                 −0.5940 
                 7.8650 
               
               
                 1.1110 
                 −0.5730 
                 7.8650 
               
               
                 1.0190 
                 −0.5510 
                 7.8650 
               
               
                 0.9230 
                 −0.5270 
                 7.8650 
               
               
                 0.8240 
                 −0.5020 
                 7.8650 
               
               
                 0.7220 
                 −0.4740 
                 7.8650 
               
               
                 0.6200 
                 −0.4460 
                 7.8650 
               
               
                 0.5190 
                 −0.4160 
                 7.8650 
               
               
                 0.4180 
                 −0.3840 
                 7.8650 
               
               
                 0.3180 
                 −0.3510 
                 7.8650 
               
               
                 0.2180 
                 −0.3160 
                 7.8650 
               
               
                 0.1190 
                 −0.2790 
                 7.8650 
               
               
                 0.0200 
                 −0.2400 
                 7.8650 
               
               
                 −0.0780 
                 −0.1990 
                 7.8650 
               
               
                 −0.1760 
                 −0.1570 
                 7.8650 
               
               
                 −0.2720 
                 −0.1130 
                 7.8650 
               
               
                 −0.3690 
                 −0.0670 
                 7.8650 
               
               
                 −0.4610 
                 −0.0220 
                 7.8650 
               
               
                 −0.5490 
                 0.0240 
                 7.8650 
               
               
                 −0.6340 
                 0.0690 
                 7.8650 
               
               
                 −0.7140 
                 0.1130 
                 7.8650 
               
               
                 −0.7910 
                 0.1580 
                 7.8650 
               
               
                 −0.8640 
                 0.2010 
                 7.8650 
               
               
                 −0.9340 
                 0.2440 
                 7.8650 
               
               
                 −0.9990 
                 0.2860 
                 7.8650 
               
               
                 −1.0590 
                 0.3250 
                 7.8650 
               
               
                 −1.1110 
                 0.3610 
                 7.8650 
               
               
                 −1.1580 
                 0.3940 
                 7.8650 
               
               
                 −1.2010 
                 0.4250 
                 7.8650 
               
               
                 −1.2380 
                 0.4530 
                 7.8650 
               
               
                 −1.2660 
                 0.4740 
                 7.8650 
               
               
                 −1.2880 
                 0.4920 
                 7.8650 
               
               
                 −1.3040 
                 0.5060 
                 7.8650 
               
               
                 −1.3150 
                 0.5170 
                 7.8650 
               
               
                 −1.3210 
                 0.5250 
                 7.8650 
               
               
                 −1.3230 
                 0.5300 
                 7.8650 
               
               
                 −1.3230 
                 0.5320 
                 7.8650 
               
               
                 −1.3230 
                 0.5340 
                 7.8650 
               
               
                 −1.3230 
                 0.5340 
                 7.8650 
               
               
                 −1.3220 
                 0.5350 
                 7.8650 
               
               
                 −1.3210 
                 0.5360 
                 7.8650 
               
               
                 −1.3190 
                 0.5370 
                 7.8650 
               
               
                 −1.3130 
                 0.5370 
                 7.8650 
               
               
                 −1.3040 
                 0.5360 
                 7.8650 
               
               
                 −1.2900 
                 0.5310 
                 7.8650 
               
               
                 −1.2700 
                 0.5220 
                 7.8650 
               
               
                 −1.2450 
                 0.5100 
                 7.8650 
               
               
                 −1.2130 
                 0.4950 
                 7.8650 
               
               
                 −1.1730 
                 0.4750 
                 7.8650 
               
               
                 −1.1260 
                 0.4510 
                 7.8650 
               
               
                 −1.0770 
                 0.4250 
                 7.8650 
               
               
                 −1.0210 
                 0.3960 
                 7.8650 
               
               
                 −0.9590 
                 0.3630 
                 7.8650 
               
               
                 −0.8910 
                 0.3270 
                 7.8650 
               
               
                 −0.8190 
                 0.2900 
                 7.8650 
               
               
                 −0.7450 
                 0.2520 
                 7.8650 
               
               
                 −0.6670 
                 0.2130 
                 7.8650 
               
               
                 −0.5850 
                 0.1730 
                 7.8650 
               
               
                 −0.5000 
                 0.1320 
                 7.8650 
               
               
                 −0.4110 
                 0.0900 
                 7.8650 
               
               
                 −0.3190 
                 0.0470 
                 7.8650 
               
               
                 −0.2240 
                 0.0040 
                 7.8650 
               
               
                 −0.1280 
                 −0.0380 
                 7.8650 
               
               
                 −0.0320 
                 −0.0800 
                 7.8650 
               
               
                 0.0650 
                 −0.1210 
                 7.8650 
               
               
                 0.1620 
                 −0.1610 
                 7.8650 
               
               
                 0.2590 
                 −0.2000 
                 7.8650 
               
               
                 0.3570 
                 −0.2390 
                 7.8650 
               
               
                 0.4540 
                 −0.2770 
                 7.8650 
               
               
                 0.5520 
                 −0.3150 
                 7.8650 
               
               
                 0.6510 
                 −0.3510 
                 7.8650 
               
               
                 0.7500 
                 −0.3860 
                 7.8650 
               
               
                 0.8490 
                 −0.4190 
                 7.8650 
               
               
                 0.9460 
                 −0.4500 
                 7.8650 
               
               
                 1.0390 
                 −0.4790 
                 7.8650 
               
               
                 1.1300 
                 −0.5060 
                 7.8650 
               
               
                 1.2180 
                 −0.5300 
                 7.8650 
               
               
                 1.3020 
                 −0.5530 
                 7.8650 
               
               
                 1.3830 
                 −0.5740 
                 7.8650 
               
               
                 1.4610 
                 −0.5940 
                 7.8650 
               
               
                 1.5330 
                 −0.6110 
                 7.8650 
               
               
                 1.5980 
                 −0.6250 
                 7.8650 
               
               
                 1.6560 
                 −0.6360 
                 7.8650 
               
               
                 1.7080 
                 −0.6460 
                 7.8650 
               
               
                 1.7530 
                 −0.6540 
                 7.8650 
               
               
                 1.7910 
                 −0.6600 
                 7.8650 
               
               
                 1.8230 
                 −0.6650 
                 7.8650 
               
               
                 1.8510 
                 −0.6680 
                 7.8650 
               
               
                 1.8730 
                 −0.6700 
                 7.8650 
               
               
                 1.8910 
                 −0.6720 
                 7.8650 
               
               
                 1.9050 
                 −0.6740 
                 7.8650 
               
               
                 1.9140 
                 −0.6790 
                 7.8650 
               
               
                 1.9190 
                 −0.6860 
                 7.8650 
               
               
                 1.9210 
                 −0.6930 
                 7.8650 
               
               
                   
               
             
          
         
       
     
         [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 I 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.