Patent Publication Number: US-11643932-B2

Title: Compressor rotor blade airfoils

Description:
CROSS-REFERENCE TO RELATED APPLICATIONS 
     This application claims the benefit of priority to Indian Patent Application No. 202111019917, filed on Apr. 30, 2021, the disclosure of which is incorporated by reference herein in its entirety. 
     FIELD 
     The present disclosure relates to an airfoil for a compressor rotor blade disposed within a stage of a compressor section of a land-based gas turbine system and, more particularly, relates to a shape defining a profile for an airfoil of a compressor rotor blade. 
     BACKGROUND 
     Some simple cycle or combined cycle power plant systems employ turbomachines in their design and operation. Generally, turbomachines employ airfoils (e.g., stator vanes or nozzles and rotor blades), which during operation are exposed to fluid flows. These airfoils are configured to aerodynamically interact with the fluid flows and to transfer energy to or from these fluid flows as part of power generation. For example, the airfoils may be used to compress fluid, create thrust, to convert kinetic energy to mechanical energy, and/or to convert thermal energy to mechanical energy. As a result of this interaction and conversion, the aerodynamic characteristics of these airfoils may result in losses that have an impact on system and turbine operation, performance, thrust, efficiency, and power. 
     BRIEF DESCRIPTION 
     Aspects and advantages of the rotor blades and turbomachines in accordance with the present disclosure will be set forth in part in the following description, or may be obvious from the description, or may be learned through practice of the technology. 
     In accordance with one embodiment, a rotor blade is provided. A rotor blade includes an airfoil having an airfoil shape. The airfoil shape has a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in one of Table I, Table II, Table III, Table IV, Table V, Table VI, Table VII, Table VIII, or Table IX. The Cartesian coordinate values of X, Y and Z are non-dimensional values from 0% to 100% convertible to dimensional distances expressed in a unit of distance by multiplying the Cartesian coordinate values of X, Y and Z by a scaling factor of the airfoil in the unit of distance. The X and Y values, when connected by smooth continuing arcs, define airfoil profile sections at each Z value. The airfoil profile sections at Z values are joined smoothly with one another to form a complete airfoil shape. 
     The airfoil shape (e.g., the airfoil shape  150  in  FIGS.  3  and  4   ) has a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in one of Table I, Table II, Table III, Table IV, Table V, Table VI, Table VII, Table VIII, or Table IX. Each of Tables I-IX defines a plurality of airfoil profile sections of the airfoil (e.g., the airfoil  100  in  FIGS.  3  and  4   ) at respective Z-positions. For each airfoil profile section of the airfoil at each Z position, the points defined by the X and Y coordinates are connected together by smooth continuing arcs thereby to define the shape of that airfoil profile section. Also, adjacent airfoil profile sections along the Z-direction are connected together by smooth continuing surfaces. Thus, the complete airfoil shape is defined. Advantageously, this airfoil shape tends to provide for improved aerodynamic efficiency of the airfoil when compared to conventional airfoil designs. 
     In accordance with another embodiment, a rotor blade is provided. The rotor blade includes an airfoil having a nominal suction-side profile substantially in accordance with suction-side Cartesian coordinate values of X, Y and Z set forth in one of Table I, Table II, Table III, Table IV, Table V, Table VI, Table VII, Table VIII, or Table IX. The Cartesian coordinate values of X, Y and Z are non-dimensional values from 0% to 100% convertible to dimensional distances expressed in a unit of distance by multiplying the Cartesian coordinate values of X, Y and Z by a scaling factor of the airfoil in the unit of distance. The X and Y values, when connected by smooth continuing arcs, define suction-side profile sections at each Z value. The suction-side profile sections at the Z values are joined smoothly with one another to form a complete airfoil suction-side shape. 
     In accordance with yet another embodiment, a turbomachine is provided. The turbomachine includes a compressor section, a turbine section downstream from the compressor section, and a combustion section downstream from the compressor section and upstream from the turbine section. A rotor blade is disposed within one of the compressor section or the turbine section. The rotor blade includes an airfoil having a nominal suction-side profile substantially in accordance with suction-side Cartesian coordinate values of X, Y and Z set forth in one of Table I, Table II, Table III, Table IV, Table V, Table VI, Table VII, Table VIII, or Table IX. The Cartesian coordinate values of X, Y and Z are non-dimensional values from 0% to 100% convertible to dimensional distances expressed in a unit of distance by multiplying the Cartesian coordinate values of X, Y and Z by a scaling factor of the airfoil in the unit of distance. The X and Y values, when connected by smooth continuing arcs, define suction-side profile sections at each Z value. The suction-side profile sections at the Z values are joined smoothly with one another to form a complete airfoil suction-side shape. 
     These and other features, aspects and advantages of the present rotor blades and turbomachines will become better understood with reference to the following description and appended claims. The accompanying drawings, which are incorporated in and constitute a part of this specification, illustrate embodiments of the technology and, together with the description, serve to explain the principles of the technology. 
    
    
     
       BRIEF DESCRIPTION OF THE DRAWINGS 
       A full and enabling disclosure of the present rotor blades and turbomachines, including the best mode of making and using the present systems and methods, directed to one of ordinary skill in the art, is set forth in the specification, which makes reference to the appended figures, in which: 
         FIG.  1    is a schematic illustration of a turbomachine in accordance with embodiments of the present disclosure; 
         FIG.  2    illustrates a cross-sectional side view of a compressor section, in accordance with embodiments of the present disclosure; 
         FIG.  3    illustrates a perspective view of a rotor blade, in accordance with embodiments of the present disclosure; and 
         FIG.  4    illustrates an airfoil profile section of an airfoil from along the line  4 - 4  shown in  FIG.  3   , in accordance with embodiments of the present disclosure; 
         FIG.  5    illustrates a graph of a stagger angle distribution belonging to an airfoil disposed on a rotor blade within a specified stage of a compressor section, in accordance with embodiments of the present disclosure; 
         FIG.  6    illustrates a graph of a stagger angle distribution belonging to an airfoil disposed on a rotor blade within a specified stage of a compressor section, in accordance with embodiments of the present disclosure; 
         FIG.  7    illustrates a graph of a stagger angle distribution belonging to an airfoil disposed on a rotor blade within a specified stage of a compressor section, in accordance with embodiments of the present disclosure; 
         FIG.  8    illustrates a graph of a stagger angle distribution belonging to an airfoil disposed on a rotor blade within a specified stage of a compressor section, in accordance with embodiments of the present disclosure; 
         FIG.  9    illustrates a graph of a stagger angle distribution belonging to an airfoil disposed on a rotor blade within a specified stage of a compressor section, in accordance with embodiments of the present disclosure; 
         FIG.  10    illustrates a graph of a stagger angle distribution belonging to an airfoil disposed on a rotor blade within a specified stage of a compressor section, in accordance with embodiments of the present disclosure; 
         FIG.  11    illustrates a graph of a stagger angle distribution belonging to an airfoil disposed on a rotor blade within a specified stage of a compressor section, in accordance with embodiments of the present disclosure; 
         FIG.  12    illustrates a graph of a stagger angle distribution belonging to an airfoil disposed on a rotor blade within a specified stage of a compressor section, in accordance with embodiments of the present disclosure; and 
         FIG.  13    illustrates a graph of a stagger angle distribution belonging to an airfoil disposed on a rotor blade within a specified stage of a compressor section, in accordance with embodiments of the present disclosure. 
     
    
    
     DETAILED DESCRIPTION 
     Reference now will be made in detail to embodiments of the present rotor blades and turbomachines, one or more examples of which are illustrated in the drawings. Each example is provided by way of explanation, rather than limitation of, the technology. In fact, it will be apparent to those skilled in the art that modifications and variations can be made in the present technology without departing from the scope or spirit of the claimed technology. For instance, features illustrated or described as part of one embodiment can be used with another embodiment to yield a still further embodiment. Thus, it is intended that the present disclosure covers such modifications and variations as come within the scope of the appended claims and their equivalents. 
     The detailed description uses numerical and letter designations to refer to features in the drawings. Like or similar designations in the drawings and description have been used to refer to like or similar parts of the invention. As used herein, the terms “first”, “second”, and “third” may be used interchangeably to distinguish one component from another and are not intended to signify location or importance of the individual components. 
     As used herein, the terms “upstream” (or “forward”) and “downstream” (or “aft”) refer to the relative direction with respect to fluid flow in a fluid pathway. For example, “upstream” refers to the direction from which the fluid flows, and “downstream” refers to the direction to which the fluid flows. The term “radially” refers to the relative direction that is substantially perpendicular to an axial centerline of a particular component, the term “axially” refers to the relative direction that is substantially parallel and/or coaxially aligned to an axial centerline of a particular component and the term “circumferentially” refers to the relative direction that extends around the axial centerline of a particular component. Terms of approximation, such as “generally,” “substantially,” or “about” include values within ten percent greater or less than the stated value. When used in the context of an angle or direction, such terms include within ten degrees greater or less than the stated angle or direction. For example, “generally vertical” includes directions within ten degrees of vertical in any direction, e.g., clockwise or counter-clockwise. 
     Referring now to the drawings,  FIG.  1    illustrates a schematic diagram of one embodiment of a turbomachine, which in the illustrated embodiment is a gas turbine  10 . Although an industrial or land-based gas turbine is shown and described herein, the present disclosure is not limited to a land based and/or industrial gas turbine unless otherwise specified in the claims. For example, the invention as described herein may be used in any type of turbomachine including but not limited to a steam turbine, an aircraft gas turbine, or a marine gas turbine. 
     As shown, gas turbine  10  generally includes an inlet section  12 , a compressor section  14  disposed downstream of the inlet section  12 , a plurality of combustors (not shown) within a combustor section  16  disposed downstream of the compressor section  14 , a turbine section  18  disposed downstream of the combustor section  16 , and an exhaust section  20  disposed downstream of the turbine section  18 . Additionally, the gas turbine  10  may include one or more shafts  22  coupled between the compressor section  14  and the turbine section  18 . 
     The multi-stage axial compressor section or compressor section  14  may generally include a plurality of rotor disks  24  (one of which is shown) and a plurality of rotor blades  44  extending radially outwardly from and connected to each rotor disk  24 . Each rotor disk  24  in turn may be coupled to or form a portion of the shaft  22  that extends through the compressor section  14 . The compressor section  14  may further include one or more stator vanes  50  arranged circumferentially around the shaft  22 . The stator vanes  50  may be fixed to a static casing or compressor casing  48  that extends circumferentially around the rotor blades  44 . 
     The turbine section  18  may generally include a plurality of rotor disks  28  (one of which is shown) and a plurality of rotor blades  30  extending radially outwardly from and being interconnected to each rotor disk  28 . Each rotor disk  28  in turn may be coupled to or form a portion of the shaft  22  that extends through the turbine section  18 . The turbine section  18  further includes a turbine casing  33  that circumferentially surround the portion of the shaft  22  and the rotor blades  30 , thereby at least partially defining a hot gas path  32  through the turbine section  18 . The turbine casing  33  may be configured to support a plurality of stages of stationary nozzles  29  extending radially inwardly from the inner circumference of the turbine casing  33 . 
     During operation, a working fluid such as air flows through the inlet section  12  and into the compressor section  14  where the air is progressively compressed, thus providing pressurized air to the combustors of the combustor section  16 . The pressurized air is mixed with fuel and burned within each combustor to produce combustion gases  34 . The combustion gases  34  flow through the hot gas path  32  from the combustor section  16  into the turbine section  18 , wherein energy (kinetic and/or thermal) is transferred from the combustion gases  34  to the rotor blades  30 , causing the shaft  22  to rotate. The mechanical rotational energy may then be used to power the compressor section  14  and/or to generate electricity. The combustion gases  34  exiting the turbine section  18  may then be exhausted from the gas turbine  10  via the exhaust section  20 . 
       FIG.  2    illustrates a cross-sectional side view of an embodiment of the compressor section  14  of the gas turbine  10  of  FIG.  1   , which is shown as a multi-stage axial compressor section  14 , in accordance with embodiments of the present disclosure. As shown in  FIGS.  1  and  2   , the gas turbine  10  may define a cylindrical coordinate system. The cylindrical coordinate system may define an axial direction A (e.g. downstream direction) substantially parallel to and/or along an axial centerline  23  of the gas turbine  10 , a radial direction R perpendicular to the axial centerline  23 , and a circumferential direction C extending around the axial centerline  23 . 
     In operation, air  15  may enter the compressor section  14  in the axial direction A through the inlet section  12  and may be pressurized in the multi-stage axial compressor section  14 . The compressed air may then be mixed with fuel for combustion within the combustor section  16  to drive the turbine section  18 , which rotates the shaft  22  in the circumferential direction C and, thus, the multi-stage axial compressor section  14 . The rotation of the shaft  22  also causes one or more rotor blades  44  (e.g., compressor rotor blades) within the multi-stage axial compressor section  14  to draw in and pressurize the air received by the inlet section  12 . 
     The multi-stage axial compressor section  14  may include a rotor assembly  46  having a plurality of rotor disks  24 . Rotor blades  44  may extend radially outward from the rotor disks  24 . The entire rotor assembly  46  (e.g. rotor disks  24  and rotor blades  44 ) may rotate in the circumferential direction C during operation of the gas turbine  10 . The rotor assembly  46  may be surrounded by a compressor casing  48 . The compressor casing may be static or stationary, such that the rotor assembly  46  rotates relative to the compressor casing  48 . Stator vanes  50  (e.g., variable stator vanes and/or fixed stator vanes) may extend radially inward from the compressor casing  48 . As shown in  FIG.  2   , one or more stages of the stator vanes  50  may be variable stator vanes  51 , such that an angle of the stator vane  50  may be selectively actuated (e.g. by a controller  200 ). For example, in the embodiments shown in  FIG.  2   , first three stages of the compressor section  14  may include variable stator vanes  51 . In many embodiments, as shown, the rotor blades  44  and stator vanes  50  may be arranged in an alternating fashion, such that most of the rotor blades  44  are disposed between two stator vanes  50  in the axial direction A. 
     In some embodiments, the compressor casing  48  of the compressor section  14  or the inlet section  12  may have one or more sets of inlet guide vanes  52  (IGVs) (e.g., variable IGV stator vanes). The inlet guide vanes  52  may be mounted to the compressor casing  48 , spaced apart from one another in the circumferential direction C, and may be operable to control the amount of air  15  that enters the compressor section  14 . Additionally, an outlet  56  of the compressor section  14  may have a set of outlet guide vanes  58  (OGVs). The OGVs  58  may be mounted to the compressor casing  48 , spaced apart from one another in the circumferential direction C, and may be operable to control the amount of air  15  that exits the compressor section  14 . 
     In exemplary embodiments, as shown in  FIG.  2   , the variable stator vane  51 , the IGVs  52 , and the OGVs may each be configured to vary its vane angle relative to the gas flow (e.g. air flow) by rotating the vane  51 ,  52 ,  58  about an axis of rotation (e.g., radially oriented vane shaft). However, each variable stator vane  51  (including the IGVs  52  and the OGVs  58 ) may be otherwise stationary relative to the rotor blades  44 . In certain embodiments, the variable stator vanes  51 , the IGVs  52 , and the OGVs  58  may be coupled to an actuator  19  (e.g., electric drive, pneumatic drive, or hydraulic drive). The actuators  19  may be in operable communication (e.g. electrical communication) with a controller  200 . The controller may be operable to selectively vary the vane angle. In other embodiments, all of the stator vanes  50  may be fixed, such that the stator vanes  50  are configured to remain in a fixed angular position (e.g. the vane angle does not vary). 
     The compressor section  14  may include a plurality of rows or stages arranged in a serial flow order, such as between 2 to 30, 2 to 25, 2 to 20, 2 to 14, or 2 to 10 rows or stages, or any specific number or range therebetween. Each stage may include a plurality of rotor blades  44  circumferentially spaced about the axial centerline  23  and a plurality of stator vanes  50  circumferentially spaced about the axial centerline  23 . In each stage, the multi-stage axial compressor section  14  may include 2 to 1000, 5 to 500, or 10 to 100 of circumferentially arranged rotor blades  44 , and 2 to 1000, 5 to 500, or 10 to 100 of circumferentially arranged stator vanes  50 . In particular, the illustrated embodiment of the multi-stage axial compressor section  14  includes 14 stages (e.g. S1-S14). 
     It may be appreciated that each stage has a set of rotor blades  44  disposed at a first axial position and a set of stator vanes  50  disposed at a second axial position along the length of the compressor section  14 . In other words, each stage has the rotor blades  44  and stator vanes  50  axially offset from one another, such that the compressor section  14  has an alternating arrangement of rotor blades  44  and stator vanes  50  one set after another along the length of the compressor section  14 . Each set of rotor blades  44  extends (e.g., in a spaced arrangement) in the circumferential direction C about the shaft  22 , and each set of stator vanes  50  extends (e.g., in a spaced arrangement) in the circumferential direction C within the compressor casing  48 . 
     While the compressor section  14  may include greater or fewer stages than is illustrated,  FIG.  2    illustrates an embodiment of the compressor section  14  having fourteen stages arranged in a serial flow order and identified as follows: first stage S1, second stage S2, third stage S3, fourth stage S4, fifth stage S5, sixth stage S6, seventh stage S7, eighth stage S8, ninth stage S9, tenth stage S10, eleventh stage S11, twelfth stage S12, thirteenth stage S13, and fourteenth stage S14. In certain embodiments, each stage may include rotor blades  44  and stator vanes  50  (e.g., fixed stator vanes  50  and/or variable stator vanes  51 ). As used herein, a rotor blade  44  disposed within one of the sections S1-S14 of the compressor section  14  may be referred to by whichever stage it is disposed within, e.g. “a first stage compressor rotor blade,” “a second stage compressor rotor blade,” “a third stage compressor rotor blade,” etc. 
     In use, the rotor blades  44  may rotate circumferentially about the compressor casing  48  and the stator vanes  50 . Rotation of the rotor blades  44  may result in air entering the inlet section  12 . The air is then subsequently compressed as it traverses the various stages (e.g., first stage S1 to fourteenth stage S14) of the compressor section  14  and moves in the axial direction  38  downstream of the multi-stage axial compressor section  14 . The compressed air may then exit through the outlet  56  of the multi-stage axial compressor section  14 . As discussed above, the outlet  56  may have a set of outlet guide vanes  58  (OGVs). The compressed air that exits the compressor section  14  may be mixed with fuel, directed to the combustor section  16 , directed to the turbine section  18 , or elsewhere in the gas turbine  10 . 
     TABLES I through IX below each contain coordinate data that describes a respective airfoil shape (or surface profile). In exemplary embodiments, the airfoil shapes defined by each of TABLES I through IX describe a rotor blade  44  and/or the stator vane  50  of the compressor section  14 . In certain embodiments, the airfoil shapes defined by each of TABLES I through IX describe an IGV  52  and/or an OGV  58  of the compressor section  14 . 
     The IGV  52 , the stages (e.g. S1-S14) of rotor blades  44  and stator vanes  50 , and the OGV  58  of the compressor section  14  may be grouped into one or more sections or portions of the compressor section  14  for reference purposes. For the purposes of the grouping, portions the compressor section  14  may be expressed in terms of a percentage, such as a percentage of the compressor section  14  from the inlet (e.g. 0% of the compressor section  14 ) to the outlet (e.g. 100% of the compressor section  14 ) in the axial or downstream direction. In this way, the compressor section  14  may include, in a serial flow order, an early stage  60 , a mid stage  62 , and a late stage  64 . In particular, the early stage  60  may include from approximately 0% to approximately 25% of the compressor section  14  (e.g. from the IGV  52  to about the fourth stage S4). The mid stage  62  may include from approximately 25% to approximately 75% of the compressor section  14  (e.g. from about the fifth stage S5 to about the eleventh stage S11). The late stage  64  may include from approximately 75% to approximately 100% of the compressor section  14  (e.g. from about the twelfth stage S12 to the OGV  58 ). 
     Accordingly, the Cartesian coordinate data contained within each of TABLES I and II may correspond to an airfoil shape of an airfoil  100  disposed within the early stage  60  of the compressor section  14 . The Cartesian coordinate data contained within each of TABLES III through VII may correspond to an airfoil shape of an airfoil  100  disposed within the mid stage  62  of the compressor section  14 . The Cartesian coordinate data contained within TABLE VIII and IX may correspond to an airfoil shape of an airfoil  100  disposed within the late stage  64  of the compressor section  14 . 
     For example, in exemplary embodiments, the Cartesian coordinate data contained within TABLE I may correspond to an airfoil shape of an airfoil  100  disposed on a rotor blade  44  within the second stage S2 of the compressor section  14 . The Cartesian coordinate data contained within TABLE II may correspond to an airfoil shape of an airfoil  100  disposed on a rotor blade  44  within the third stage S3 of the compressor section  14 . The Cartesian coordinate data contained within TABLE III may correspond to an airfoil shape of an airfoil  100  disposed on a rotor blade  44  within the sixth stage S6 of the compressor section  14 . The Cartesian coordinate data contained within TABLE IV may correspond to an airfoil shape of an airfoil  100  disposed on a rotor blade  44  within the seventh stage S7 of the compressor section  14 . The Cartesian coordinate data contained within TABLE V may correspond to an airfoil shape of an airfoil  100  disposed on a rotor blade  44  within the eighth stage S8 of the compressor section  14 . The Cartesian coordinate data contained within TABLE VI may correspond to an airfoil shape of an airfoil  100  disposed on a rotor blade  44  within the ninth stage S9 of the compressor section  14 . The Cartesian coordinate data contained within TABLE VII may correspond to an airfoil shape of an airfoil  100  disposed on a rotor blade  44  within the eleventh stage S11 of the compressor section  14 . The Cartesian coordinate data contained within TABLE VIII may correspond to an airfoil shape of an airfoil  100  disposed on a rotor blade  44  within the twelfth stage S12 of the compressor section  14 . The Cartesian coordinate data contained within TABLE IX may correspond to an airfoil shape of an airfoil  100  disposed on a rotor blade  44  within the thirteenth stage S13 of the compressor section  14 . 
     However, in various other embodiments, each of TABLES I through IX may contain Cartesian coordinate data of an airfoil shape of an airfoil  100  that may be disposed on a rotor blade  44  or stator blade  50  in any stage S1-S14 of the compressor section  14 . Accordingly, the airfoil shape defined by each of TABLES I through IX should not be limited to any particular stage of the compressor section  14  unless specifically recited in the claims. 
       FIG.  3    illustrates a perspective view of a rotor blade  44 , which may be incorporated in any stage (e.g. S1 through S14) of the compressor section  14 , in accordance with embodiments of the present disclosure. 
     As shown, the rotor blade  44  includes an airfoil  100  defining an airfoil shape  150 . The airfoil  100  includes a pressure-side surface or profile  102  and an opposing suction-side surface or profile  104 . The pressure-side surface  102  and the suction-side surface  104  meet or intersect at a leading edge  106  and a trailing edge  108  of the airfoil  100 . A chord line  110  extends between the leading edge  106  and the trailing edge  108  such that pressure and suction-side surfaces  102 ,  104  can be said to extend in chord or chordwise between the leading edge  106  and the trailing edge  108 . The leading and trailing edges,  106  and  108  respectively, may be described as the dividing or intersecting lines between the suction-side surface  104  and the pressure-side surface  102 . In other words, the suction-side surface  104  and the pressure-side surface  102  couple together with one another along the leading edge  106  and the trailing edge  108 , thereby defining an airfoil shaped cross-section that gradually changes lengthwise along the airfoil  100 . 
     In operation, the rotor blades  44  rotate about an axial centerline  23  exerting a torque on a working fluid, such as air  15 , thus increasing energy levels of the fluid as the working fluid traverses the various stages S1 through S14 of the multi-stage axial compressor section  14  on its way to the combustor  26 . The rotor blades  44  may be adjacent (e.g., upstream and/or downstream) to the one or more stationary stator vanes  50 . The stator vanes  50  slow the working fluid during rotation of the rotor blades  44 , converting a circumferential component of movement of the working fluid flow into pressure. Accordingly, continuous rotation of the rotor blade  44  creates a continuous flow of compressed working fluid, suitable for combustion via the combustor  26 . 
     As shown in  FIG.  3   , the airfoil  100  includes a root or first end  112 , which intersects with and extends radially outwardly from a base or platform  114  of the rotor blade  44 . The airfoil  100  terminates radially at a second end or radial tip  116  of the airfoil  100 . The pressure-side and suction-side surfaces  102 ,  104  can be said to extend in span or in a span-wise direction  118  between the root  112  and/or the platform  114  and the radial tip  116  of the airfoil  100 . In other words, each rotor blade  44  includes an airfoil  100  having opposing pressure-side and suction-side surfaces  102 ,  104  that extend in chord or chordwise  110  between opposing leading and trailing edges  106 ,  108  and that extend in span or span-wise  118  between the root  112  and the radial tip  116  of the airfoil  100 . 
     In particular configurations, the airfoil  100  may include a fillet  72  formed between the platform  114  and the airfoil  100  proximate to the root  112 . The fillet  72  can include a weld or braze fillet, which can be formed via conventional MIG welding, TIG welding, brazing, etc., and can include a profile that can reduce fluid dynamic losses as a result of the presence of fillet  72 . In particular embodiments, the platform  114 , the airfoil  100  and the fillet  72  can be formed as a single component, such as by casting and/or machining and/or additive manufacturing (such as 3D printing) and/or any other suitable technique now known or later developed and/or discovered. 
     In various implementations, the rotor blade  44  includes a mounting portion  74  (such as a dovetail joint), which is formed to connect and/or to secure the rotor blade  44  to the rotor disk  24 . For example, the mounting portion  74  may include a T-shaped structure, a hook, one or more lateral protrusions, one or more lateral slots, or any combination thereof. The mounting portion  74  (e.g., dovetail joint) may be configured to mount into the rotor assembly  46  or the compressor casing  48  in an axial direction A, a radial direction R, and/or a circumferential direction C (e.g., into an axial slot or opening, a radial slot or opening, and/or a circumferential slot or opening). 
     An important term in this disclosure is “profile”. The profile is the range of the variation between measured points on an airfoil surface and the ideal position listed in any one of TABLES I through IX. The actual profile on a manufactured turbine rotor blade will be different than those in TABLES I through IX, and the design is robust to this variation meaning that mechanical and aerodynamic function are not impaired. As noted above, a + or −5% profile tolerance is used herein. The X, Y and Z values are all non-dimensionalized relative to the airfoil height. 
     The airfoil  100  of the rotor blade  44  has a nominal profile at any cross-section taken between the platform  114  or the root  112  and the radial tip  116 , e.g., such as the cross section shown in  FIG.  4   . A “nominal profile” is the range of variation between measured points on an airfoil surface and the ideal position listed in TABLES I through IX. The actual profile on a manufactured compressor blade may be different from those in TABLES I through IX (e.g., due to manufacturing tolerances), and the design is robust to this variation, meaning that mechanical and aerodynamic function are not impaired. 
     The Cartesian coordinate values of X, Y, and Z provided in each of TABLES I through IX are dimensionless values scalable by a scaling factor, as measured in any given unit of distance (e.g., inches). For example, the X, Y, and Z values in each of TABLES I through IX are set forth in non-dimensionalized units, and thus a variety of units of dimensions may be used when the values are appropriately scaled by a scaling factor. As one example only, the Cartesian coordinate values of X, Y and Z may be convertible to dimensional distances by multiplying the X, Y and Z values by a scaling factor. The scaling factor may be substantially equal to 1, greater than 1, or less than 1. For example, the Cartesian coordinate values of X, Y, and Z may be convertible to dimensional distances by multiplying the X, Y, and Z values by the scaling factor. The scaling factor, used to convert the non-dimensional values to dimensional distances, may be a fraction (e.g., ½, ¼, etc.), decimal fraction (e.g., 0.5, 1.5, 10.25, etc.), integer (e.g., 1, 2, 10, 100, etc.) or a mixed number (e.g., 1½, 10¼, etc.). The scaling factor may be a dimensional distance in any suitable format (e.g., inches, feet, millimeters, centimeters, etc.). In various embodiments, the scaling factor may be between about 0.01 inches and about 10 inches, such as between about 0.1 inches and about 10 inches, such as between about 0.1 inches and about 5 inches, such as between about 0.1 inches and about 3 inches, such as between about 0.1 inches and about 2 inches. 
     In various embodiments, the X, Y, and Z values in each of TABLES I through IX may be scaled as a function of the same scaling factor (e.g., constant or number) to provide a scaled-up or a scaled-down airfoil. In some embodiments, the scaling factor may be different for each of TABLES I through IX, such that each of the TABLES I through IX has a unique scaling factor. In this way, each of TABLES I through IX define the relationships between the respective X, Y, and Z coordinate values without specifying the units of measure (e.g., dimensional units) for the various airfoil  100  embodiments. Accordingly, while different scaling factors may be applied to the respective X, Y, and Z coordinate values of each of TABLES I through IX to define different embodiments of the airfoil  100 , each embodiment of the airfoil  100  regardless of the particular scaling factor is considered to be defined by the respective X, Y, and Z coordinate values TABLES I through IX. For example, the X, Y, and Z coordinate values of TABLES I through IX may each define an embodiment of the airfoil  100  formed with a 1:1 inch scaling factor, or formed with a 1:2 inch scaling factor, or formed with a 1:1 cm scaling factor. It may be appreciated that any scaling factor may be used with the X, Y, and Z coordinate values of any of TABLES I through IX, according to the design considerations of a particular embodiment. 
     A gas turbine hot gas path requires airfoils that meet system requirements of aerodynamic and mechanical blade loading and efficiency. To define the airfoil shape of each compressor rotor blade airfoil, there is a unique set or loci of points in space that meet the stage requirements and that can be manufactured. This unique loci of points meet the requirements for stage efficiency and are arrived at by iteration between aerodynamic and mechanical loadings enabling the turbine to run in an efficient, safe and smooth manner. These points are unique and specific to the system. 
     The loci that define the compressor rotor blade airfoil shape include a set of points with X, Y and Z dimensions relative to a reference origin coordinate system. The Cartesian coordinate system of X, Y and Z values given in each of TABLES I through IX below defines the airfoil shapes (which include the various airfoil profile sections) of an airfoil belonging to one or more compressor rotor blades or compressor stator vanes at various locations along its height (or along the span-wise direction  118 ). 
     Each of TABLES I through IX list data for a uncoated airfoil at cold or room temperature. The envelope/tolerance for the coordinates is about +/−5% in a direction normal to any airfoil surface location and/or about +/−5% of the chord  110  in a direction nominal to any airfoil surface location. In other words, the airfoil layout, as embodied by the disclosure, is robust to this range of variation without impairment of mechanical and aerodynamic functions. As used herein, the term of approximation “substantially,” when used in the phrase “substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in Table I,” refers to the envelope/tolerance for the coordinates (e.g., +/−5% in a direction normal to any airfoil surface location and/or about +/−5% of the chord  110  in a direction nominal to any airfoil surface location). 
     A point data origin  76  is defined at the base  114  of the airfoil  100 . For example, the point data origin  76  may be defined at the root  112  of the airfoil  100 . For example, in some embodiments, the point data origin  76  may be defined at the root  112  of the airfoil  100  at the intersection of a stacking axis (e.g. a radially extending axis) and the compressed air flowpath (e.g. a flowpath of air along the surface of the airfoil). In the embodiments presented in TABLES I through IX below, the point data origin  76  is defined at a transition or intersection line  78  defined between the fillet  72  and the airfoil  100 . The point data origin  76  corresponds to the non-dimensional Z value equal to 0. 
     As described above, the Cartesian coordinate system has orthogonally related (e.g., mutually orthogonal) X, Y and Z axes, and the X axis lies generally parallel to an axial centerline  23  of the shaft  22 , i.e., the rotary axis, and a positive X coordinate value is axial toward an aft, i.e., exhaust end of the gas turbine  10 . The positive Y coordinate value extends from the suction-side surface  104  to the pressure-side surface  102 , and the positive Z coordinate value is radially outwardly from the base  114  toward the radial tip  116 . All the values in each of TABLES I through IX are given at room temperature and do not include the fillet  72  or coatings (not shown). 
     By defining X and Y coordinate values at selected locations in a Z direction normal to the X, Y plane, an airfoil profile section  160  of the airfoil  100  of the rotor blade  44  may be defined at each Z distance along the length of the airfoil  100 . By connecting the X and Y values with smooth continuing arcs, each airfoil profile section of the airfoil  100  at each distance Z may be fixed. The complete airfoil shape  150  may be determined by smoothly connecting the adjacent profile sections to one another. 
     The values of TABLES I through IX are generated and shown to three decimal places for determining the airfoil shape  150  of the airfoil  100 . As the rotor blade  44  heats up during operation of the gas turbine  10 , surface stress and temperature will cause a change in the X, Y and Z values. Accordingly, the values for the various airfoil profile sections given in TABLES I through IX define the “nominal” airfoil profile, that is, the profile of an uncoated airfoil at ambient, non-operating or non-hot conditions (e.g., room temperature). 
     There are typical manufacturing tolerances as well as coatings which must be accounted for in the actual profile of the airfoil  100 . Each cross-section is joined smoothly with the other cross-sections to form the complete airfoil shape. It will therefore be appreciated that +/− typical manufacturing tolerances, i.e., +/− values, including any coating thicknesses, are additive to the X and Y values given in each of TABLES I through IX below. Accordingly, a distance of +/−5% in a direction normal to any surface location along the airfoil profile defines an airfoil profile envelope for this particular rotor blade  44  airfoil design, i.e., 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 as given in each of TABLES I through IX below at the same temperature. The data provided in each of TABLES I through IX is scalable (i.e., by a uniform geometric scaling factor), and the geometry pertains to all aerodynamic scales, at, above and/or below 3000 RPM. The design of the airfoil  100  for rotor blade  44  is robust to this range of variation without impairment of mechanical and aerodynamic functions. 
     The airfoil  100  may include various airfoil profile sections along the span-wise direction  118 . Each of the airfoil profile sections may be “stacked” on top of one another other along the Z direction, such that when connected with smooth continuous arcs, the complete airfoil shape  150  may be ascertained. For example, each airfoil profile section corresponds to Cartesian coordinate values of X, Y, and Z for a common Cartesian coordinate value of Z in each of TABLES I through IX. Furthermore, adjacent airfoil profile sections correspond to the Cartesian coordinate values of X, Y, and Z for adjacent Cartesian coordinate values of Z in each of TABLES I through IX. 
     For example,  FIG.  4    illustrates an airfoil profile section  160  of an airfoil  100  from along the line  4 - 4  shown in  FIG.  3   , which may be representative of an airfoil profile section of the airfoil  100  at any span-wise location, in accordance with embodiments of the present disclosure. As should be appreciated, the airfoil shape  150  of the airfoil  100  may change or vary at each span-wise location (or at each Z value). In this way, a distinct airfoil profile section  160  may be defined at each position along the span-wise direction  118  (or at each Z value) of the airfoil  100 . When the airfoil profile sections  160  at each span-wise location (e.g. at each Z value) of the airfoil  100  are connected together with smooth continuous lines, the complete airfoil shape  150  of the airfoil  100  may be defined or obtained. 
     A Cartesian coordinate system of X, Y, and Z values given in each of TABLES I through IX below define respective suction side surfaces or profiles  104  and a pressure side surfaces or profiles  102  of the respective airfoils  100  at various locations along the span-wise direction  118  of the respective airfoils  100 . For example, point  120  defines a first pair of suction side X and Y values at the Z value of the airfoil profile section  160  shown in  FIG.  4    (line  4 - 4  shown in  FIG.  3   ), while point  122  defines a second pair of pressure side X and Y values at the same Z value. 
     By defining X and Y coordinate values at selected locations in a Z direction normal to the X-Y plane, an airfoil profile section  160  of the airfoil  100  may be obtained at each of the selected Z value location (e.g. by connecting each X and Y coordinate value at a given Z value to adjacent X and Y coordinate values of that same Z value with smooth continuing arcs). At each Z value or location, the suction side profile  104  may joined to the pressure-side profile or surface  102 , as shown in  FIG.  4   , to define the airfoil profile section  160 . The airfoil shape  150  of the airfoil  100  may be determined by smoothly connecting the adjacent (e.g., “stacked”) airfoil profile sections  160  to one another with smooth continuous arcs. 
     The values in each of TABLES I through IX below are computer-generated and shown to three decimal places. However, certain values in TABLES I through IX may be shown to less than five decimal places (e.g., 0, 1, or 2 decimal places), because the values are rounded to significant figures, the additional decimal places would merely show trailing zeroes, or a combination thereof. Accordingly, in certain embodiments, any values having less than three decimal places may be shown with trailing zeroes out to 1, 2, or 3 decimal places. Furthermore, in some embodiments and in view of manufacturing constraints, actual values useful for forming the airfoil  100  are may be considered valid to fewer than three decimal places for determining the airfoil shape  150  of the airfoil  100 . 
     As will be appreciated, there are typical manufacturing tolerances which may be accounted for in the airfoil shape  150 . Accordingly, the X, Y, and Z values given in each of TABLES I through IX are for the airfoil shape  150  of a nominal airfoil. It will therefore be appreciated that plus or minus typical manufacturing tolerances (e.g. plus or minus 5%) are applicable to these X, Y, and Z values and that an airfoil  100  having a profile substantially in accordance with those values includes such tolerances. 
     As noted previously, the airfoil  100  may also be coated for protection against corrosion, erosion, wear, and oxidation after the airfoil  100  is manufactured, according to the values in any of TABLES I through IX and within the tolerances explained above. For example, the coating region may include one or more corrosion resistant layers, erosion resistant layers, wear resistant layers, oxidation resistant or anti-oxidation layers, or any combination thereof. For example, in embodiments where the airfoil is measured in inches, an anti-corrosion coating may be provided with an average thickness t of 0.008 inches (0.20 mm), between 0.001 and 0.1 inches (between 0.025 and 2.5 mm), or between 0.0001 and 0.5 inches or more (between 0.0025 and 12.7 mm or more). For example, in certain embodiments, the coating may increase X and Y values of a suction side in any of TABLES I through IX by no greater than approximately 3.5 mm along a first suction portion, a first pressure portion, or both. It is to be noted that additional anti-oxidation coatings may be provided, such as overcoats. The values provided in each of TABLES I through IX exclude a coated region or coatings of the airfoil  100 . In other words, these values correspond to the bare surface of the airfoil  100 . The coated region may include one or more coating layers, surface treatments, or a combination thereof, over the bare surface of the airfoil  100 . 
     TABLES I through IX below each contain Cartesian coordinate data of an airfoil shape  150  of an airfoil  100 , which may be incorporated into one of the compressor section  14  or the turbine section  18  of the gas turbine  10 . For example, in many embodiments, TABLES I through IX below each contain Cartesian coordinate data of an airfoil shape  150  of an airfoil  100  of a rotor blade  44 , which is disposed in one of the early stage  60 , the mid stage  62 , or the late stage  64  of the compressor section  14  (such as in any one of stages S1-S14). 
     In exemplary embodiments, TABLE I below contains Cartesian coordinate data of an airfoil shape  150  of an airfoil  100  of a rotor blade  44 , which is disposed in the early stage  60  of the compressor section  14 . Specifically, TABLE I below contains Cartesian coordinate data of an airfoil shape  150  of an airfoil  100  of a rotor blade  44 , which is disposed in the second stage S2 of the compressor section  14 . 
     
       
         
           
               
               
             
               
                 TABLE I 
               
             
            
               
                   
               
               
                 SUCTION SIDE 
                 PRESSURE SIDE 
               
            
           
           
               
               
               
               
               
               
            
               
                 X 
                 Y 
                 Z 
                 X 
                 Y 
                 Z 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 3.566 
                 −1.514 
                 2.562 
                 −7.642 
                 4.665 
                 2.562 
               
               
                 3.565 
                 −1.518 
                 2.562 
                 −7.640 
                 4.667 
                 2.562 
               
               
                 3.563 
                 −1.525 
                 2.562 
                 −7.636 
                 4.670 
                 2.562 
               
               
                 3.558 
                 −1.540 
                 2.562 
                 −7.626 
                 4.674 
                 2.562 
               
               
                 3.545 
                 −1.565 
                 2.562 
                 −7.606 
                 4.678 
                 2.562 
               
               
                 3.514 
                 −1.602 
                 2.562 
                 −7.574 
                 4.675 
                 2.562 
               
               
                 3.462 
                 −1.634 
                 2.562 
                 −7.519 
                 4.656 
                 2.562 
               
               
                 3.381 
                 −1.643 
                 2.562 
                 −7.450 
                 4.621 
                 2.562 
               
               
                 3.273 
                 −1.630 
                 2.562 
                 −7.363 
                 4.565 
                 2.562 
               
               
                 3.137 
                 −1.614 
                 2.562 
                 −7.257 
                 4.491 
                 2.562 
               
               
                 2.960 
                 −1.592 
                 2.562 
                 −7.119 
                 4.394 
                 2.562 
               
               
                 2.756 
                 −1.565 
                 2.562 
                 −6.962 
                 4.281 
                 2.562 
               
               
                 2.539 
                 −1.534 
                 2.562 
                 −6.794 
                 4.159 
                 2.562 
               
               
                 2.309 
                 −1.499 
                 2.562 
                 −6.606 
                 4.022 
                 2.562 
               
               
                 2.052 
                 −1.457 
                 2.562 
                 −6.398 
                 3.868 
                 2.562 
               
               
                 1.755 
                 −1.406 
                 2.562 
                 −6.170 
                 3.698 
                 2.562 
               
               
                 1.445 
                 −1.350 
                 2.562 
                 −5.931 
                 3.520 
                 2.562 
               
               
                 1.122 
                 −1.287 
                 2.562 
                 −5.683 
                 3.334 
                 2.562 
               
               
                 0.786 
                 −1.219 
                 2.562 
                 −5.422 
                 3.142 
                 2.562 
               
               
                 0.438 
                 −1.143 
                 2.562 
                 −5.150 
                 2.945 
                 2.562 
               
               
                 0.078 
                 −1.060 
                 2.562 
                 −4.864 
                 2.743 
                 2.562 
               
               
                 −0.295 
                 −0.968 
                 2.562 
                 −4.566 
                 2.538 
                 2.562 
               
               
                 −0.679 
                 −0.867 
                 2.562 
                 −4.253 
                 2.331 
                 2.562 
               
               
                 −1.074 
                 −0.755 
                 2.562 
                 −3.926 
                 2.122 
                 2.562 
               
               
                 −1.467 
                 −0.635 
                 2.562 
                 −3.596 
                 1.918 
                 2.562 
               
               
                 −1.857 
                 −0.504 
                 2.562 
                 −3.263 
                 1.719 
                 2.562 
               
               
                 −2.243 
                 −0.364 
                 2.562 
                 −2.927 
                 1.525 
                 2.562 
               
               
                 −2.625 
                 −0.212 
                 2.562 
                 −2.587 
                 1.336 
                 2.562 
               
               
                 −3.002 
                 −0.048 
                 2.562 
                 −2.246 
                 1.152 
                 2.562 
               
               
                 −3.373 
                 0.128 
                 2.562 
                 −1.902 
                 0.971 
                 2.562 
               
               
                 −3.738 
                 0.318 
                 2.562 
                 −1.558 
                 0.792 
                 2.562 
               
               
                 −4.095 
                 0.521 
                 2.562 
                 −1.212 
                 0.616 
                 2.562 
               
               
                 −4.443 
                 0.741 
                 2.562 
                 −0.865 
                 0.442 
                 2.562 
               
               
                 −4.779 
                 0.976 
                 2.562 
                 −0.517 
                 0.270 
                 2.562 
               
               
                 −5.104 
                 1.229 
                 2.562 
                 −0.168 
                 0.101 
                 2.562 
               
               
                 −5.406 
                 1.487 
                 2.562 
                 0.172 
                 −0.059 
                 2.562 
               
               
                 −5.686 
                 1.749 
                 2.562 
                 0.501 
                 −0.210 
                 2.562 
               
               
                 −5.946 
                 2.011 
                 2.562 
                 0.820 
                 −0.353 
                 2.562 
               
               
                 −6.188 
                 2.273 
                 2.562 
                 1.129 
                 −0.486 
                 2.562 
               
               
                 −6.414 
                 2.531 
                 2.562 
                 1.427 
                 −0.610 
                 2.562 
               
               
                 −6.623 
                 2.784 
                 2.562 
                 1.716 
                 −0.725 
                 2.562 
               
               
                 −6.818 
                 3.032 
                 2.562 
                 1.994 
                 −0.831 
                 2.562 
               
               
                 −6.998 
                 3.273 
                 2.562 
                 2.261 
                 −0.929 
                 2.562 
               
               
                 −7.156 
                 3.497 
                 2.562 
                 2.493 
                 −1.010 
                 2.562 
               
               
                 −7.292 
                 3.703 
                 2.562 
                 2.701 
                 −1.082 
                 2.562 
               
               
                 −7.408 
                 3.889 
                 2.562 
                 2.897 
                 −1.148 
                 2.562 
               
               
                 −7.511 
                 4.067 
                 2.562 
                 3.082 
                 −1.208 
                 2.562 
               
               
                 −7.592 
                 4.225 
                 2.562 
                 3.242 
                 −1.260 
                 2.562 
               
               
                 −7.644 
                 4.352 
                 2.562 
                 3.365 
                 −1.298 
                 2.562 
               
               
                 −7.673 
                 4.458 
                 2.562 
                 3.464 
                 −1.329 
                 2.562 
               
               
                 −7.683 
                 4.539 
                 2.562 
                 3.529 
                 −1.370 
                 2.562 
               
               
                 −7.678 
                 4.601 
                 2.562 
                 3.560 
                 −1.419 
                 2.562 
               
               
                 −7.667 
                 4.633 
                 2.562 
                 3.570 
                 −1.463 
                 2.562 
               
               
                 −7.655 
                 4.652 
                 2.562 
                 3.570 
                 −1.489 
                 2.562 
               
               
                 −7.648 
                 4.660 
                 2.562 
                 3.568 
                 −1.504 
                 2.562 
               
               
                 −7.644 
                 4.664 
                 2.562 
                 3.567 
                 −1.511 
                 2.562 
               
               
                 3.434 
                 −1.894 
                 4.056 
                 −7.455 
                 4.884 
                 4.056 
               
               
                 3.432 
                 −1.898 
                 4.056 
                 −7.453 
                 4.885 
                 4.056 
               
               
                 3.430 
                 −1.904 
                 4.056 
                 −7.448 
                 4.888 
                 4.056 
               
               
                 3.423 
                 −1.919 
                 4.056 
                 −7.439 
                 4.892 
                 4.056 
               
               
                 3.409 
                 −1.942 
                 4.056 
                 −7.418 
                 4.895 
                 4.056 
               
               
                 3.375 
                 −1.975 
                 4.056 
                 −7.386 
                 4.891 
                 4.056 
               
               
                 3.319 
                 −2.000 
                 4.056 
                 −7.332 
                 4.870 
                 4.056 
               
               
                 3.238 
                 −1.996 
                 4.056 
                 −7.264 
                 4.832 
                 4.056 
               
               
                 3.131 
                 −1.976 
                 4.056 
                 −7.179 
                 4.773 
                 4.056 
               
               
                 2.997 
                 −1.950 
                 4.056 
                 −7.075 
                 4.696 
                 4.056 
               
               
                 2.823 
                 −1.916 
                 4.056 
                 −6.940 
                 4.595 
                 4.056 
               
               
                 2.623 
                 −1.875 
                 4.056 
                 −6.786 
                 4.478 
                 4.056 
               
               
                 2.410 
                 −1.829 
                 4.056 
                 −6.621 
                 4.351 
                 4.056 
               
               
                 2.184 
                 −1.777 
                 4.056 
                 −6.437 
                 4.209 
                 4.056 
               
               
                 1.933 
                 −1.717 
                 4.056 
                 −6.233 
                 4.049 
                 4.056 
               
               
                 1.642 
                 −1.645 
                 4.056 
                 −6.010 
                 3.873 
                 4.056 
               
               
                 1.338 
                 −1.567 
                 4.056 
                 −5.776 
                 3.688 
                 4.056 
               
               
                 1.022 
                 −1.483 
                 4.056 
                 −5.533 
                 3.495 
                 4.056 
               
               
                 0.694 
                 −1.391 
                 4.056 
                 −5.279 
                 3.294 
                 4.056 
               
               
                 0.354 
                 −1.293 
                 4.056 
                 −5.013 
                 3.087 
                 4.056 
               
               
                 0.002 
                 −1.186 
                 4.056 
                 −4.736 
                 2.875 
                 4.056 
               
               
                 −0.362 
                 −1.071 
                 4.056 
                 −4.446 
                 2.657 
                 4.056 
               
               
                 −0.737 
                 −0.946 
                 4.056 
                 −4.144 
                 2.434 
                 4.056 
               
               
                 −1.122 
                 −0.809 
                 4.056 
                 −3.828 
                 2.208 
                 4.056 
               
               
                 −1.504 
                 −0.664 
                 4.056 
                 −3.509 
                 1.987 
                 4.056 
               
               
                 −1.882 
                 −0.510 
                 4.056 
                 −3.187 
                 1.769 
                 4.056 
               
               
                 −2.257 
                 −0.346 
                 4.056 
                 −2.862 
                 1.557 
                 4.056 
               
               
                 −2.627 
                 −0.172 
                 4.056 
                 −2.534 
                 1.349 
                 4.056 
               
               
                 −2.991 
                 0.014 
                 4.056 
                 −2.203 
                 1.145 
                 4.056 
               
               
                 −3.349 
                 0.211 
                 4.056 
                 −1.871 
                 0.944 
                 4.056 
               
               
                 −3.699 
                 0.421 
                 4.056 
                 −1.537 
                 0.745 
                 4.056 
               
               
                 −4.042 
                 0.644 
                 4.056 
                 −1.202 
                 0.548 
                 4.056 
               
               
                 −4.374 
                 0.882 
                 4.056 
                 −0.867 
                 0.353 
                 4.056 
               
               
                 −4.695 
                 1.135 
                 4.056 
                 −0.530 
                 0.159 
                 4.056 
               
               
                 −5.005 
                 1.401 
                 4.056 
                 −0.192 
                 −0.032 
                 4.056 
               
               
                 −5.294 
                 1.671 
                 4.056 
                 0.137 
                 −0.214 
                 4.056 
               
               
                 −5.563 
                 1.942 
                 4.056 
                 0.455 
                 −0.387 
                 4.056 
               
               
                 −5.813 
                 2.211 
                 4.056 
                 0.764 
                 −0.550 
                 4.056 
               
               
                 −6.046 
                 2.478 
                 4.056 
                 1.064 
                 −0.704 
                 4.056 
               
               
                 −6.263 
                 2.740 
                 4.056 
                 1.353 
                 −0.849 
                 4.056 
               
               
                 −6.466 
                 2.997 
                 4.056 
                 1.633 
                 −0.984 
                 4.056 
               
               
                 −6.655 
                 3.247 
                 4.056 
                 1.903 
                 −1.109 
                 4.056 
               
               
                 −6.830 
                 3.490 
                 4.056 
                 2.163 
                 −1.226 
                 4.056 
               
               
                 −6.983 
                 3.715 
                 4.056 
                 2.389 
                 −1.324 
                 4.056 
               
               
                 −7.116 
                 3.922 
                 4.056 
                 2.591 
                 −1.410 
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                 1.011 
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                 20.143 
                 −5.339 
                 5.598 
                 20.143 
               
               
                 0.905 
                 −4.485 
                 20.143 
                 −5.246 
                 5.459 
                 20.143 
               
               
                 0.783 
                 −4.333 
                 20.143 
                 −5.137 
                 5.298 
                 20.143 
               
               
                 0.652 
                 −4.171 
                 20.143 
                 −5.022 
                 5.126 
                 20.143 
               
               
                 0.514 
                 −3.998 
                 20.143 
                 −4.891 
                 4.934 
                 20.143 
               
               
                 0.360 
                 −3.805 
                 20.143 
                 −4.747 
                 4.719 
                 20.143 
               
               
                 0.182 
                 −3.582 
                 20.143 
                 −4.588 
                 4.484 
                 20.143 
               
               
                 −0.004 
                 −3.347 
                 20.143 
                 −4.422 
                 4.237 
                 20.143 
               
               
                 −0.197 
                 −3.103 
                 20.143 
                 −4.250 
                 3.978 
                 20.143 
               
               
                 −0.398 
                 −2.847 
                 20.143 
                 −4.073 
                 3.708 
                 20.143 
               
               
                 −0.606 
                 −2.581 
                 20.143 
                 −3.890 
                 3.427 
                 20.143 
               
               
                 −0.821 
                 −2.304 
                 20.143 
                 −3.701 
                 3.133 
                 20.143 
               
               
                 −1.043 
                 −2.015 
                 20.143 
                 −3.507 
                 2.827 
                 20.143 
               
               
                 −1.270 
                 −1.714 
                 20.143 
                 −3.309 
                 2.509 
                 20.143 
               
               
                 −1.501 
                 −1.400 
                 20.143 
                 −3.105 
                 2.179 
                 20.143 
               
               
                 −1.729 
                 −1.083 
                 20.143 
                 −2.903 
                 1.848 
                 20.143 
               
               
                 −1.952 
                 −0.763 
                 20.143 
                 −2.703 
                 1.516 
                 20.143 
               
               
                 −2.170 
                 −0.440 
                 20.143 
                 −2.504 
                 1.183 
                 20.143 
               
               
                 −2.384 
                 −0.114 
                 20.143 
                 −2.306 
                 0.850 
                 20.143 
               
               
                 −2.592 
                 0.216 
                 20.143 
                 −2.107 
                 0.517 
                 20.143 
               
               
                 −2.796 
                 0.548 
                 20.143 
                 −1.907 
                 0.185 
                 20.143 
               
               
                 −2.995 
                 0.883 
                 20.143 
                 −1.706 
                 −0.146 
                 20.143 
               
               
                 −3.192 
                 1.220 
                 20.143 
                 −1.503 
                 −0.477 
                 20.143 
               
               
                 −3.387 
                 1.558 
                 20.143 
                 −1.299 
                 −0.806 
                 20.143 
               
               
                 −3.581 
                 1.896 
                 20.143 
                 −1.093 
                 −1.135 
                 20.143 
               
               
                 −3.774 
                 2.235 
                 20.143 
                 −0.887 
                 −1.464 
                 20.143 
               
               
                 −3.960 
                 2.563 
                 20.143 
                 −0.686 
                 −1.780 
                 20.143 
               
               
                 −4.139 
                 2.880 
                 20.143 
                 −0.490 
                 −2.084 
                 20.143 
               
               
                 −4.311 
                 3.186 
                 20.143 
                 −0.300 
                 −2.377 
                 20.143 
               
               
                 −4.475 
                 3.481 
                 20.143 
                 −0.117 
                 −2.659 
                 20.143 
               
               
                 −4.632 
                 3.765 
                 20.143 
                 0.060 
                 −2.929 
                 20.143 
               
               
                 −4.783 
                 4.039 
                 20.143 
                 0.230 
                 −3.189 
                 20.143 
               
               
                 −4.925 
                 4.302 
                 20.143 
                 0.394 
                 −3.437 
                 20.143 
               
               
                 −5.060 
                 4.554 
                 20.143 
                 0.551 
                 −3.674 
                 20.143 
               
               
                 −5.179 
                 4.785 
                 20.143 
                 0.687 
                 −3.878 
                 20.143 
               
               
                 −5.285 
                 4.994 
                 20.143 
                 0.809 
                 −4.061 
                 20.143 
               
               
                 −5.376 
                 5.181 
                 20.143 
                 0.925 
                 −4.233 
                 20.143 
               
               
                 −5.459 
                 5.357 
                 20.143 
                 1.033 
                 −4.393 
                 20.143 
               
               
                 −5.528 
                 5.511 
                 20.143 
                 1.127 
                 −4.533 
                 20.143 
               
               
                 −5.575 
                 5.632 
                 20.143 
                 1.199 
                 −4.640 
                 20.143 
               
               
                 −5.608 
                 5.731 
                 20.143 
                 1.257 
                 −4.725 
                 20.143 
               
               
                 −5.626 
                 5.807 
                 20.143 
                 1.301 
                 −4.789 
                 20.143 
               
               
                 −5.633 
                 5.865 
                 20.143 
                 1.334 
                 −4.837 
                 20.143 
               
               
                 −5.631 
                 5.897 
                 20.143 
                 1.350 
                 −4.879 
                 20.143 
               
               
                 −5.625 
                 5.917 
                 20.143 
                 1.344 
                 −4.904 
                 20.143 
               
               
                 −5.619 
                 5.926 
                 20.143 
                 1.335 
                 −4.916 
                 20.143 
               
               
                 −5.615 
                 5.929 
                 20.143 
                 1.331 
                 −4.921 
                 20.143 
               
               
                 0.890 
                 −5.001 
                 22.762 
                 −5.489 
                 6.109 
                 22.762 
               
               
                 0.887 
                 −5.003 
                 22.762 
                 −5.486 
                 6.109 
                 22.762 
               
               
                 0.881 
                 −5.007 
                 22.762 
                 −5.481 
                 6.109 
                 22.762 
               
               
                 0.866 
                 −5.011 
                 22.762 
                 −5.471 
                 6.106 
                 22.762 
               
               
                 0.841 
                 −5.008 
                 22.762 
                 −5.455 
                 6.094 
                 22.762 
               
               
                 0.808 
                 −4.978 
                 22.762 
                 −5.433 
                 6.071 
                 22.762 
               
               
                 0.773 
                 −4.932 
                 22.762 
                 −5.397 
                 6.025 
                 22.762 
               
               
                 0.727 
                 −4.870 
                 22.762 
                 −5.355 
                 5.961 
                 22.762 
               
               
                 0.665 
                 −4.787 
                 22.762 
                 −5.301 
                 5.873 
                 22.762 
               
               
                 0.589 
                 −4.683 
                 22.762 
                 −5.234 
                 5.763 
                 22.762 
               
               
                 0.490 
                 −4.547 
                 22.762 
                 −5.146 
                 5.621 
                 22.762 
               
               
                 0.378 
                 −4.390 
                 22.762 
                 −5.044 
                 5.458 
                 22.762 
               
               
                 0.259 
                 −4.221 
                 22.762 
                 −4.934 
                 5.284 
                 22.762 
               
               
                 0.134 
                 −4.040 
                 22.762 
                 −4.809 
                 5.089 
                 22.762 
               
               
                 −0.005 
                 −3.839 
                 22.762 
                 −4.671 
                 4.872 
                 22.762 
               
               
                 −0.165 
                 −3.604 
                 22.762 
                 −4.520 
                 4.633 
                 22.762 
               
               
                 −0.332 
                 −3.359 
                 22.762 
                 −4.363 
                 4.383 
                 22.762 
               
               
                 −0.505 
                 −3.102 
                 22.762 
                 −4.200 
                 4.121 
                 22.762 
               
               
                 −0.685 
                 −2.834 
                 22.762 
                 −4.032 
                 3.847 
                 22.762 
               
               
                 −0.870 
                 −2.554 
                 22.762 
                 −3.858 
                 3.562 
                 22.762 
               
               
                 −1.060 
                 −2.262 
                 22.762 
                 −3.679 
                 3.265 
                 22.762 
               
               
                 −1.257 
                 −1.959 
                 22.762 
                 −3.496 
                 2.955 
                 22.762 
               
               
                 −1.458 
                 −1.644 
                 22.762 
                 −3.308 
                 2.633 
                 22.762 
               
               
                 −1.664 
                 −1.316 
                 22.762 
                 −3.115 
                 2.299 
                 22.762 
               
               
                 −1.867 
                 −0.986 
                 22.762 
                 −2.926 
                 1.963 
                 22.762 
               
               
                 −2.066 
                 −0.654 
                 22.762 
                 −2.738 
                 1.626 
                 22.762 
               
               
                 −2.262 
                 −0.321 
                 22.762 
                 −2.553 
                 1.288 
                 22.762 
               
               
                 −2.455 
                 0.015 
                 22.762 
                 −2.369 
                 0.949 
                 22.762 
               
               
                 −2.644 
                 0.353 
                 22.762 
                 −2.187 
                 0.610 
                 22.762 
               
               
                 −2.830 
                 0.692 
                 22.762 
                 −2.005 
                 0.269 
                 22.762 
               
               
                 −3.014 
                 1.033 
                 22.762 
                 −1.824 
                 −0.071 
                 22.762 
               
               
                 −3.197 
                 1.374 
                 22.762 
                 −1.642 
                 −0.411 
                 22.762 
               
               
                 −3.379 
                 1.716 
                 22.762 
                 −1.459 
                 −0.750 
                 22.762 
               
               
                 −3.561 
                 2.057 
                 22.762 
                 −1.275 
                 −1.089 
                 22.762 
               
               
                 −3.742 
                 2.399 
                 22.762 
                 −1.089 
                 −1.427 
                 22.762 
               
               
                 −3.918 
                 2.730 
                 22.762 
                 −0.908 
                 −1.752 
                 22.762 
               
               
                 −4.087 
                 3.049 
                 22.762 
                 −0.732 
                 −2.066 
                 22.762 
               
               
                 −4.249 
                 3.357 
                 22.762 
                 −0.561 
                 −2.369 
                 22.762 
               
               
                 −4.405 
                 3.654 
                 22.762 
                 −0.396 
                 −2.659 
                 22.762 
               
               
                 −4.554 
                 3.940 
                 22.762 
                 −0.236 
                 −2.938 
                 22.762 
               
               
                 −4.697 
                 4.215 
                 22.762 
                 −0.082 
                 −3.205 
                 22.762 
               
               
                 −4.833 
                 4.479 
                 22.762 
                 0.066 
                 −3.461 
                 22.762 
               
               
                 −4.962 
                 4.732 
                 22.762 
                 0.209 
                 −3.705 
                 22.762 
               
               
                 −5.077 
                 4.963 
                 22.762 
                 0.331 
                 −3.916 
                 22.762 
               
               
                 −5.178 
                 5.172 
                 22.762 
                 0.441 
                 −4.105 
                 22.762 
               
               
                 −5.265 
                 5.359 
                 22.762 
                 0.544 
                 −4.283 
                 22.762 
               
               
                 −5.344 
                 5.536 
                 22.762 
                 0.640 
                 −4.450 
                 22.762 
               
               
                 −5.409 
                 5.691 
                 22.762 
                 0.722 
                 −4.596 
                 22.762 
               
               
                 −5.454 
                 5.812 
                 22.762 
                 0.785 
                 −4.708 
                 22.762 
               
               
                 −5.484 
                 5.910 
                 22.762 
                 0.835 
                 −4.798 
                 22.762 
               
               
                 −5.501 
                 5.986 
                 22.762 
                 0.873 
                 −4.865 
                 22.762 
               
               
                 −5.507 
                 6.043 
                 22.762 
                 0.901 
                 −4.916 
                 22.762 
               
               
                 −5.506 
                 6.076 
                 22.762 
                 0.914 
                 −4.958 
                 22.762 
               
               
                 −5.501 
                 6.095 
                 22.762 
                 0.907 
                 −4.982 
                 22.762 
               
               
                 −5.495 
                 6.104 
                 22.762 
                 0.898 
                 −4.995 
                 22.762 
               
               
                 −5.491 
                 6.107 
                 22.762 
                 0.893 
                 −4.999 
                 22.762 
               
               
                 0.431 
                 −5.067 
                 25.136 
                 −5.354 
                 6.385 
                 25.136 
               
               
                 0.428 
                 −5.069 
                 25.136 
                 −5.351 
                 6.385 
                 25.136 
               
               
                 0.422 
                 −5.072 
                 25.136 
                 −5.346 
                 6.385 
                 25.136 
               
               
                 0.407 
                 −5.075 
                 25.136 
                 −5.337 
                 6.381 
                 25.136 
               
               
                 0.381 
                 −5.071 
                 25.136 
                 −5.321 
                 6.367 
                 25.136 
               
               
                 0.350 
                 −5.040 
                 25.136 
                 −5.301 
                 6.343 
                 25.136 
               
               
                 0.317 
                 −4.992 
                 25.136 
                 −5.268 
                 6.295 
                 25.136 
               
               
                 0.274 
                 −4.928 
                 25.136 
                 −5.229 
                 6.228 
                 25.136 
               
               
                 0.216 
                 −4.842 
                 25.136 
                 −5.179 
                 6.138 
                 25.136 
               
               
                 0.146 
                 −4.734 
                 25.136 
                 −5.118 
                 6.025 
                 25.136 
               
               
                 0.055 
                 −4.592 
                 25.136 
                 −5.036 
                 5.879 
                 25.136 
               
               
                 −0.047 
                 −4.428 
                 25.136 
                 −4.940 
                 5.711 
                 25.136 
               
               
                 −0.155 
                 −4.252 
                 25.136 
                 −4.837 
                 5.533 
                 25.136 
               
               
                 −0.268 
                 −4.064 
                 25.136 
                 −4.719 
                 5.333 
                 25.136 
               
               
                 −0.392 
                 −3.852 
                 25.136 
                 −4.588 
                 5.111 
                 25.136 
               
               
                 −0.535 
                 −3.606 
                 25.136 
                 −4.443 
                 4.868 
                 25.136 
               
               
                 −0.682 
                 −3.349 
                 25.136 
                 −4.292 
                 4.613 
                 25.136 
               
               
                 −0.833 
                 −3.078 
                 25.136 
                 −4.135 
                 4.347 
                 25.136 
               
               
                 −0.989 
                 −2.796 
                 25.136 
                 −3.972 
                 4.069 
                 25.136 
               
               
                 −1.150 
                 −2.501 
                 25.136 
                 −3.805 
                 3.779 
                 25.136 
               
               
                 −1.314 
                 −2.194 
                 25.136 
                 −3.633 
                 3.477 
                 25.136 
               
               
                 −1.482 
                 −1.873 
                 25.136 
                 −3.458 
                 3.162 
                 25.136 
               
               
                 −1.652 
                 −1.540 
                 25.136 
                 −3.279 
                 2.834 
                 25.136 
               
               
                 −1.826 
                 −1.194 
                 25.136 
                 −3.098 
                 2.493 
                 25.136 
               
               
                 −1.998 
                 −0.847 
                 25.136 
                 −2.919 
                 2.150 
                 25.136 
               
               
                 −2.169 
                 −0.499 
                 25.136 
                 −2.744 
                 1.806 
                 25.136 
               
               
                 −2.338 
                 −0.151 
                 25.136 
                 −2.572 
                 1.460 
                 25.136 
               
               
                 −2.507 
                 0.197 
                 25.136 
                 −2.404 
                 1.112 
                 25.136 
               
               
                 −2.675 
                 0.546 
                 25.136 
                 −2.240 
                 0.762 
                 25.136 
               
               
                 −2.843 
                 0.895 
                 25.136 
                 −2.079 
                 0.411 
                 25.136 
               
               
                 −3.011 
                 1.244 
                 25.136 
                 −1.920 
                 0.059 
                 25.136 
               
               
                 −3.181 
                 1.592 
                 25.136 
                 −1.762 
                 −0.294 
                 25.136 
               
               
                 −3.352 
                 1.940 
                 25.136 
                 −1.605 
                 −0.647 
                 25.136 
               
               
                 −3.524 
                 2.287 
                 25.136 
                 −1.447 
                 −0.999 
                 25.136 
               
               
                 −3.696 
                 2.634 
                 25.136 
                 −1.287 
                 −1.351 
                 25.136 
               
               
                 −3.864 
                 2.968 
                 25.136 
                 −1.131 
                 −1.690 
                 25.136 
               
               
                 −4.026 
                 3.291 
                 25.136 
                 −0.978 
                 −2.017 
                 25.136 
               
               
                 −4.183 
                 3.603 
                 25.136 
                 −0.829 
                 −2.331 
                 25.136 
               
               
                 −4.333 
                 3.903 
                 25.136 
                 −0.685 
                 −2.633 
                 25.136 
               
               
                 −4.478 
                 4.191 
                 25.136 
                 −0.544 
                 −2.923 
                 25.136 
               
               
                 −4.615 
                 4.469 
                 25.136 
                 −0.409 
                 −3.201 
                 25.136 
               
               
                 −4.746 
                 4.735 
                 25.136 
                 −0.278 
                 −3.466 
                 25.136 
               
               
                 −4.869 
                 4.992 
                 25.136 
                 −0.152 
                 −3.720 
                 25.136 
               
               
                 −4.977 
                 5.226 
                 25.136 
                 −0.044 
                 −3.940 
                 25.136 
               
               
                 −5.072 
                 5.438 
                 25.136 
                 0.053 
                 −4.136 
                 25.136 
               
               
                 −5.154 
                 5.628 
                 25.136 
                 0.143 
                 −4.321 
                 25.136 
               
               
                 −5.227 
                 5.807 
                 25.136 
                 0.226 
                 −4.496 
                 25.136 
               
               
                 −5.287 
                 5.964 
                 25.136 
                 0.298 
                 −4.647 
                 25.136 
               
               
                 −5.327 
                 6.086 
                 25.136 
                 0.352 
                 −4.764 
                 25.136 
               
               
                 −5.354 
                 6.186 
                 25.136 
                 0.394 
                 −4.858 
                 25.136 
               
               
                 −5.369 
                 6.262 
                 25.136 
                 0.425 
                 −4.929 
                 25.136 
               
               
                 −5.374 
                 6.320 
                 25.136 
                 0.449 
                 −4.982 
                 25.136 
               
               
                 −5.372 
                 6.352 
                 25.136 
                 0.458 
                 −5.025 
                 25.136 
               
               
                 −5.366 
                 6.372 
                 25.136 
                 0.449 
                 −5.049 
                 25.136 
               
               
                 −5.360 
                 6.380 
                 25.136 
                 0.439 
                 −5.061 
                 25.136 
               
               
                 −5.356 
                 6.384 
                 25.136 
                 0.434 
                 −5.065 
                 25.136 
               
               
                   
               
            
           
         
       
     
     In exemplary embodiments, TABLE II below contains Cartesian coordinate data of an airfoil shape  150  of an airfoil  100  of a rotor blade  44 , which is disposed in the early stage  60  of the compressor section  14 . Specifically, TABLE II below contains Cartesian coordinate data of an airfoil shape  150  of an airfoil  100  of a rotor blade  44 , which is disposed in the third stage S3 of the compressor section  14 . 
     
       
         
           
               
               
             
               
                 TABLE II 
               
             
            
               
                   
               
               
                 SUCTION SIDE 
                 PRESSURE SIDE 
               
            
           
           
               
               
               
               
               
               
            
               
                 X 
                 Y 
                 Z 
                 X 
                 Y 
                 Z 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 0.926 
                 −0.726 
                 1.243 
                 −7.806 
                 4.388 
                 1.243 
               
               
                 0.925 
                 −0.729 
                 1.243 
                 −7.804 
                 4.389 
                 1.243 
               
               
                 0.924 
                 −0.734 
                 1.243 
                 −7.801 
                 4.391 
                 1.243 
               
               
                 0.918 
                 −0.746 
                 1.243 
                 −7.793 
                 4.394 
                 1.243 
               
               
                 0.904 
                 −0.762 
                 1.243 
                 −7.778 
                 4.397 
                 1.243 
               
               
                 0.872 
                 −0.780 
                 1.243 
                 −7.752 
                 4.395 
                 1.243 
               
               
                 0.824 
                 −0.780 
                 1.243 
                 −7.709 
                 4.382 
                 1.243 
               
               
                 0.760 
                 −0.772 
                 1.243 
                 −7.654 
                 4.354 
                 1.243 
               
               
                 0.675 
                 −0.762 
                 1.243 
                 −7.586 
                 4.310 
                 1.243 
               
               
                 0.569 
                 −0.749 
                 1.243 
                 −7.503 
                 4.251 
                 1.243 
               
               
                 0.430 
                 −0.731 
                 1.243 
                 −7.397 
                 4.172 
                 1.243 
               
               
                 0.271 
                 −0.709 
                 1.243 
                 −7.274 
                 4.081 
                 1.243 
               
               
                 0.101 
                 −0.685 
                 1.243 
                 −7.143 
                 3.985 
                 1.243 
               
               
                 −0.079 
                 −0.657 
                 1.243 
                 −6.994 
                 3.878 
                 1.243 
               
               
                 −0.280 
                 −0.624 
                 1.243 
                 −6.827 
                 3.761 
                 1.243 
               
               
                 −0.512 
                 −0.584 
                 1.243 
                 −6.643 
                 3.634 
                 1.243 
               
               
                 −0.754 
                 −0.538 
                 1.243 
                 −6.450 
                 3.502 
                 1.243 
               
               
                 −1.006 
                 −0.487 
                 1.243 
                 −6.247 
                 3.366 
                 1.243 
               
               
                 −1.268 
                 −0.430 
                 1.243 
                 −6.035 
                 3.226 
                 1.243 
               
               
                 −1.539 
                 −0.366 
                 1.243 
                 −5.813 
                 3.082 
                 1.243 
               
               
                 −1.820 
                 −0.294 
                 1.243 
                 −5.581 
                 2.935 
                 1.243 
               
               
                 −2.109 
                 −0.213 
                 1.243 
                 −5.340 
                 2.783 
                 1.243 
               
               
                 −2.406 
                 −0.122 
                 1.243 
                 −5.089 
                 2.628 
                 1.243 
               
               
                 −2.710 
                 −0.019 
                 1.243 
                 −4.828 
                 2.469 
                 1.243 
               
               
                 −3.012 
                 0.094 
                 1.243 
                 −4.567 
                 2.311 
                 1.243 
               
               
                 −3.310 
                 0.215 
                 1.243 
                 −4.304 
                 2.156 
                 1.243 
               
               
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                 −1.153 
                 10.846 
               
               
                 −6.748 
                 4.727 
                 10.846 
                 −1.102 
                 −1.255 
                 10.846 
               
               
                 −6.797 
                 4.837 
                 10.846 
                 −1.024 
                 −1.344 
                 10.846 
               
               
                 −6.829 
                 4.923 
                 10.846 
                 −0.964 
                 −1.412 
                 10.846 
               
               
                 −6.851 
                 4.993 
                 10.846 
                 −0.916 
                 −1.466 
                 10.846 
               
               
                 −6.861 
                 5.048 
                 10.846 
                 −0.880 
                 −1.507 
                 10.846 
               
               
                 −6.863 
                 5.089 
                 10.846 
                 −0.857 
                 −1.539 
                 10.846 
               
               
                 −6.859 
                 5.112 
                 10.846 
                 −0.853 
                 −1.571 
                 10.846 
               
               
                 −6.852 
                 5.125 
                 10.846 
                 −0.858 
                 −1.588 
                 10.846 
               
               
                 −6.847 
                 5.130 
                 10.846 
                 −0.863 
                 −1.598 
                 10.846 
               
               
                 −6.845 
                 5.133 
                 10.846 
                 −0.866 
                 −1.601 
                 10.846 
               
               
                 −1.530 
                 −1.574 
                 14.943 
                 −6.425 
                 5.199 
                 14.943 
               
               
                 −1.532 
                 −1.576 
                 14.943 
                 −6.423 
                 5.200 
                 14.943 
               
               
                 −1.536 
                 −1.579 
                 14.943 
                 −6.420 
                 5.201 
                 14.943 
               
               
                 −1.544 
                 −1.584 
                 14.943 
                 −6.414 
                 5.202 
                 14.943 
               
               
                 −1.561 
                 −1.589 
                 14.943 
                 −6.400 
                 5.199 
                 14.943 
               
               
                 −1.589 
                 −1.584 
                 14.943 
                 −6.381 
                 5.191 
                 14.943 
               
               
                 −1.619 
                 −1.560 
                 14.943 
                 −6.351 
                 5.168 
                 14.943 
               
               
                 −1.656 
                 −1.525 
                 14.943 
                 −6.314 
                 5.134 
                 14.943 
               
               
                 −1.705 
                 −1.478 
                 14.943 
                 −6.270 
                 5.084 
                 14.943 
               
               
                 −1.766 
                 −1.419 
                 14.943 
                 −6.218 
                 5.018 
                 14.943 
               
               
                 −1.846 
                 −1.343 
                 14.943 
                 −6.153 
                 4.929 
                 14.943 
               
               
                 −1.937 
                 −1.254 
                 14.943 
                 −6.081 
                 4.826 
                 14.943 
               
               
                 −2.034 
                 −1.159 
                 14.943 
                 −6.004 
                 4.716 
                 14.943 
               
               
                 −2.136 
                 −1.057 
                 14.943 
                 −5.918 
                 4.592 
                 14.943 
               
               
                 −2.250 
                 −0.943 
                 14.943 
                 −5.821 
                 4.455 
                 14.943 
               
               
                 −2.382 
                 −0.810 
                 14.943 
                 −5.714 
                 4.304 
                 14.943 
               
               
                 −2.518 
                 −0.670 
                 14.943 
                 −5.603 
                 4.146 
                 14.943 
               
               
                 −2.658 
                 −0.523 
                 14.943 
                 −5.486 
                 3.982 
                 14.943 
               
               
                 −2.804 
                 −0.368 
                 14.943 
                 −5.364 
                 3.811 
                 14.943 
               
               
                 −2.953 
                 −0.206 
                 14.943 
                 −5.237 
                 3.633 
                 14.943 
               
               
                 −3.107 
                 −0.036 
                 14.943 
                 −5.106 
                 3.448 
                 14.943 
               
               
                 −3.264 
                 0.143 
                 14.943 
                 −4.969 
                 3.257 
                 14.943 
               
               
                 −3.424 
                 0.329 
                 14.943 
                 −4.827 
                 3.059 
                 14.943 
               
               
                 −3.588 
                 0.524 
                 14.943 
                 −4.680 
                 2.854 
                 14.943 
               
               
                 −3.749 
                 0.721 
                 14.943 
                 −4.533 
                 2.650 
                 14.943 
               
               
                 −3.908 
                 0.921 
                 14.943 
                 −4.386 
                 2.445 
                 14.943 
               
               
                 −4.063 
                 1.122 
                 14.943 
                 −4.239 
                 2.241 
                 14.943 
               
               
                 −4.216 
                 1.326 
                 14.943 
                 −4.091 
                 2.037 
                 14.943 
               
               
                 −4.366 
                 1.532 
                 14.943 
                 −3.942 
                 1.833 
                 14.943 
               
               
                 −4.515 
                 1.739 
                 14.943 
                 −3.794 
                 1.630 
                 14.943 
               
               
                 −4.660 
                 1.947 
                 14.943 
                 −3.645 
                 1.426 
                 14.943 
               
               
                 −4.804 
                 2.158 
                 14.943 
                 −3.497 
                 1.222 
                 14.943 
               
               
                 −4.946 
                 2.369 
                 14.943 
                 −3.350 
                 1.018 
                 14.943 
               
               
                 −5.085 
                 2.582 
                 14.943 
                 −3.203 
                 0.813 
                 14.943 
               
               
                 −5.223 
                 2.797 
                 14.943 
                 −3.056 
                 0.609 
                 14.943 
               
               
                 −5.353 
                 3.006 
                 14.943 
                 −2.914 
                 0.411 
                 14.943 
               
               
                 −5.477 
                 3.208 
                 14.943 
                 −2.777 
                 0.219 
                 14.943 
               
               
                 −5.594 
                 3.405 
                 14.943 
                 −2.645 
                 0.035 
                 14.943 
               
               
                 −5.705 
                 3.596 
                 14.943 
                 −2.518 
                 −0.142 
                 14.943 
               
               
                 −5.810 
                 3.781 
                 14.943 
                 −2.395 
                 −0.313 
                 14.943 
               
               
                 −5.908 
                 3.959 
                 14.943 
                 −2.277 
                 −0.476 
                 14.943 
               
               
                 −6.001 
                 4.131 
                 14.943 
                 −2.164 
                 −0.633 
                 14.943 
               
               
                 −6.088 
                 4.296 
                 14.943 
                 −2.056 
                 −0.782 
                 14.943 
               
               
                 −6.165 
                 4.447 
                 14.943 
                 −1.961 
                 −0.911 
                 14.943 
               
               
                 −6.232 
                 4.584 
                 14.943 
                 −1.877 
                 −1.026 
                 14.943 
               
               
                 −6.291 
                 4.707 
                 14.943 
                 −1.797 
                 −1.135 
                 14.943 
               
               
                 −6.344 
                 4.822 
                 14.943 
                 −1.722 
                 −1.236 
                 14.943 
               
               
                 −6.387 
                 4.924 
                 14.943 
                 −1.657 
                 −1.323 
                 14.943 
               
               
                 −6.415 
                 5.004 
                 14.943 
                 −1.607 
                 −1.390 
                 14.943 
               
               
                 −6.433 
                 5.070 
                 14.943 
                 −1.566 
                 −1.444 
                 14.943 
               
               
                 −6.442 
                 5.120 
                 14.943 
                 −1.536 
                 −1.484 
                 14.943 
               
               
                 −6.443 
                 5.158 
                 14.943 
                 −1.516 
                 −1.516 
                 14.943 
               
               
                 −6.440 
                 5.179 
                 14.943 
                 −1.514 
                 −1.545 
                 14.943 
               
               
                 −6.434 
                 5.191 
                 14.943 
                 −1.520 
                 −1.561 
                 14.943 
               
               
                 −6.429 
                 5.196 
                 14.943 
                 −1.526 
                 −1.569 
                 14.943 
               
               
                 −6.426 
                 5.198 
                 14.943 
                 −1.529 
                 −1.572 
                 14.943 
               
               
                 −1.788 
                 −1.712 
                 18.562 
                 −6.234 
                 5.370 
                 18.562 
               
               
                 −1.790 
                 −1.714 
                 18.562 
                 −6.232 
                 5.370 
                 18.562 
               
               
                 −1.794 
                 −1.716 
                 18.562 
                 −6.229 
                 5.371 
                 18.562 
               
               
                 −1.803 
                 −1.720 
                 18.562 
                 −6.222 
                 5.371 
                 18.562 
               
               
                 −1.820 
                 −1.723 
                 18.562 
                 −6.209 
                 5.367 
                 18.562 
               
               
                 −1.847 
                 −1.713 
                 18.562 
                 −6.192 
                 5.356 
                 18.562 
               
               
                 −1.873 
                 −1.685 
                 18.562 
                 −6.164 
                 5.330 
                 18.562 
               
               
                 −1.906 
                 −1.646 
                 18.562 
                 −6.131 
                 5.292 
                 18.562 
               
               
                 −1.950 
                 −1.595 
                 18.562 
                 −6.091 
                 5.238 
                 18.562 
               
               
                 −2.005 
                 −1.530 
                 18.562 
                 −6.044 
                 5.168 
                 18.562 
               
               
                 −2.076 
                 −1.447 
                 18.562 
                 −5.988 
                 5.075 
                 18.562 
               
               
                 −2.158 
                 −1.349 
                 18.562 
                 −5.925 
                 4.965 
                 18.562 
               
               
                 −2.244 
                 −1.246 
                 18.562 
                 −5.858 
                 4.849 
                 18.562 
               
               
                 −2.336 
                 −1.135 
                 18.562 
                 −5.783 
                 4.718 
                 18.562 
               
               
                 −2.438 
                 −1.010 
                 18.562 
                 −5.699 
                 4.572 
                 18.562 
               
               
                 −2.555 
                 −0.866 
                 18.562 
                 −5.605 
                 4.413 
                 18.562 
               
               
                 −2.676 
                 −0.714 
                 18.562 
                 −5.507 
                 4.247 
                 18.562 
               
               
                 −2.801 
                 −0.554 
                 18.562 
                 −5.404 
                 4.073 
                 18.562 
               
               
                 −2.931 
                 −0.387 
                 18.562 
                 −5.296 
                 3.893 
                 18.562 
               
               
                 −3.064 
                 −0.212 
                 18.562 
                 −5.183 
                 3.706 
                 18.562 
               
               
                 −3.201 
                 −0.029 
                 18.562 
                 −5.066 
                 3.512 
                 18.562 
               
               
                 −3.341 
                 0.162 
                 18.562 
                 −4.943 
                 3.311 
                 18.562 
               
               
                 −3.484 
                 0.361 
                 18.562 
                 −4.816 
                 3.103 
                 18.562 
               
               
                 −3.631 
                 0.568 
                 18.562 
                 −4.685 
                 2.889 
                 18.562 
               
               
                 −3.775 
                 0.777 
                 18.562 
                 −4.553 
                 2.674 
                 18.562 
               
               
                 −3.917 
                 0.988 
                 18.562 
                 −4.420 
                 2.460 
                 18.562 
               
               
                 −4.056 
                 1.199 
                 18.562 
                 −4.287 
                 2.246 
                 18.562 
               
               
                 −4.194 
                 1.413 
                 18.562 
                 −4.153 
                 2.032 
                 18.562 
               
               
                 −4.329 
                 1.627 
                 18.562 
                 −4.019 
                 1.819 
                 18.562 
               
               
                 −4.463 
                 1.843 
                 18.562 
                 −3.884 
                 1.606 
                 18.562 
               
               
                 −4.596 
                 2.059 
                 18.562 
                 −3.749 
                 1.393 
                 18.562 
               
               
                 −4.726 
                 2.277 
                 18.562 
                 −3.614 
                 1.181 
                 18.562 
               
               
                 −4.855 
                 2.495 
                 18.562 
                 −3.478 
                 0.968 
                 18.562 
               
               
                 −4.983 
                 2.715 
                 18.562 
                 −3.343 
                 0.755 
                 18.562 
               
               
                 −5.109 
                 2.935 
                 18.562 
                 −3.208 
                 0.543 
                 18.562 
               
               
                 −5.229 
                 3.149 
                 18.562 
                 −3.077 
                 0.338 
                 18.562 
               
               
                 −5.343 
                 3.356 
                 18.562 
                 −2.950 
                 0.139 
                 18.562 
               
               
                 −5.452 
                 3.557 
                 18.562 
                 −2.828 
                 −0.051 
                 18.562 
               
               
                 −5.555 
                 3.751 
                 18.562 
                 −2.709 
                 −0.235 
                 18.562 
               
               
                 −5.653 
                 3.939 
                 18.562 
                 −2.595 
                 −0.412 
                 18.562 
               
               
                 −5.745 
                 4.120 
                 18.562 
                 −2.486 
                 −0.581 
                 18.562 
               
               
                 −5.832 
                 4.294 
                 18.562 
                 −2.380 
                 −0.743 
                 18.562 
               
               
                 −5.913 
                 4.461 
                 18.562 
                 −2.279 
                 −0.897 
                 18.562 
               
               
                 −5.986 
                 4.614 
                 18.562 
                 −2.191 
                 −1.030 
                 18.562 
               
               
                 −6.050 
                 4.752 
                 18.562 
                 −2.112 
                 −1.149 
                 18.562 
               
               
                 −6.106 
                 4.875 
                 18.562 
                 −2.038 
                 −1.261 
                 18.562 
               
               
                 −6.156 
                 4.992 
                 18.562 
                 −1.968 
                 −1.366 
                 18.562 
               
               
                 −6.196 
                 5.094 
                 18.562 
                 −1.907 
                 −1.457 
                 18.562 
               
               
                 −6.222 
                 5.175 
                 18.562 
                 −1.860 
                 −1.526 
                 18.562 
               
               
                 −6.239 
                 5.240 
                 18.562 
                 −1.822 
                 −1.582 
                 18.562 
               
               
                 −6.248 
                 5.290 
                 18.562 
                 −1.794 
                 −1.623 
                 18.562 
               
               
                 −6.250 
                 5.328 
                 18.562 
                 −1.774 
                 −1.655 
                 18.562 
               
               
                 −6.247 
                 5.349 
                 18.562 
                 −1.771 
                 −1.684 
                 18.562 
               
               
                 −6.242 
                 5.362 
                 18.562 
                 −1.777 
                 −1.700 
                 18.562 
               
               
                 −6.238 
                 5.367 
                 18.562 
                 −1.783 
                 −1.708 
                 18.562 
               
               
                 −6.235 
                 5.369 
                 18.562 
                 −1.786 
                 −1.711 
                 18.562 
               
               
                 −1.926 
                 −2.002 
                 21.173 
                 −6.172 
                 5.694 
                 21.173 
               
               
                 −1.928 
                 −2.003 
                 21.173 
                 −6.171 
                 5.694 
                 21.173 
               
               
                 −1.932 
                 −2.005 
                 21.173 
                 −6.167 
                 5.695 
                 21.173 
               
               
                 −1.942 
                 −2.009 
                 21.173 
                 −6.160 
                 5.694 
                 21.173 
               
               
                 −1.960 
                 −2.009 
                 21.173 
                 −6.147 
                 5.689 
                 21.173 
               
               
                 −1.986 
                 −1.994 
                 21.173 
                 −6.130 
                 5.675 
                 21.173 
               
               
                 −2.010 
                 −1.962 
                 21.173 
                 −6.103 
                 5.645 
                 21.173 
               
               
                 −2.042 
                 −1.920 
                 21.173 
                 −6.072 
                 5.603 
                 21.173 
               
               
                 −2.085 
                 −1.863 
                 21.173 
                 −6.034 
                 5.543 
                 21.173 
               
               
                 −2.138 
                 −1.792 
                 21.173 
                 −5.991 
                 5.466 
                 21.173 
               
               
                 −2.206 
                 −1.699 
                 21.173 
                 −5.938 
                 5.365 
                 21.173 
               
               
                 −2.285 
                 −1.592 
                 21.173 
                 −5.879 
                 5.246 
                 21.173 
               
               
                 −2.369 
                 −1.477 
                 21.173 
                 −5.816 
                 5.120 
                 21.173 
               
               
                 −2.457 
                 −1.354 
                 21.173 
                 −5.745 
                 4.978 
                 21.173 
               
               
                 −2.555 
                 −1.217 
                 21.173 
                 −5.665 
                 4.820 
                 21.173 
               
               
                 −2.667 
                 −1.057 
                 21.173 
                 −5.576 
                 4.647 
                 21.173 
               
               
                 −2.784 
                 −0.890 
                 21.173 
                 −5.483 
                 4.467 
                 21.173 
               
               
                 −2.904 
                 −0.714 
                 21.173 
                 −5.385 
                 4.279 
                 21.173 
               
               
                 −3.028 
                 −0.530 
                 21.173 
                 −5.283 
                 4.084 
                 21.173 
               
               
                 −3.155 
                 −0.337 
                 21.173 
                 −5.176 
                 3.881 
                 21.173 
               
               
                 −3.286 
                 −0.136 
                 21.173 
                 −5.064 
                 3.670 
                 21.173 
               
               
                 −3.420 
                 0.073 
                 21.173 
                 −4.948 
                 3.452 
                 21.173 
               
               
                 −3.556 
                 0.291 
                 21.173 
                 −4.828 
                 3.226 
                 21.173 
               
               
                 −3.696 
                 0.518 
                 21.173 
                 −4.703 
                 2.993 
                 21.173 
               
               
                 −3.833 
                 0.747 
                 21.173 
                 −4.577 
                 2.760 
                 21.173 
               
               
                 −3.968 
                 0.976 
                 21.173 
                 −4.451 
                 2.527 
                 21.173 
               
               
                 −4.100 
                 1.207 
                 21.173 
                 −4.324 
                 2.295 
                 21.173 
               
               
                 −4.230 
                 1.440 
                 21.173 
                 −4.197 
                 2.063 
                 21.173 
               
               
                 −4.359 
                 1.673 
                 21.173 
                 −4.069 
                 1.831 
                 21.173 
               
               
                 −4.486 
                 1.907 
                 21.173 
                 −3.940 
                 1.599 
                 21.173 
               
               
                 −4.612 
                 2.141 
                 21.173 
                 −3.811 
                 1.368 
                 21.173 
               
               
                 −4.736 
                 2.377 
                 21.173 
                 −3.682 
                 1.137 
                 21.173 
               
               
                 −4.859 
                 2.613 
                 21.173 
                 −3.553 
                 0.906 
                 21.173 
               
               
                 −4.981 
                 2.850 
                 21.173 
                 −3.424 
                 0.675 
                 21.173 
               
               
                 −5.100 
                 3.088 
                 21.173 
                 −3.295 
                 0.444 
                 21.173 
               
               
                 −5.215 
                 3.319 
                 21.173 
                 −3.169 
                 0.220 
                 21.173 
               
               
                 −5.324 
                 3.542 
                 21.173 
                 −3.048 
                 0.005 
                 21.173 
               
               
                 −5.428 
                 3.758 
                 21.173 
                 −2.931 
                 −0.202 
                 21.173 
               
               
                 −5.527 
                 3.967 
                 21.173 
                 −2.818 
                 −0.402 
                 21.173 
               
               
                 −5.620 
                 4.168 
                 21.173 
                 −2.708 
                 −0.594 
                 21.173 
               
               
                 −5.709 
                 4.362 
                 21.173 
                 −2.603 
                 −0.777 
                 21.173 
               
               
                 −5.792 
                 4.548 
                 21.173 
                 −2.501 
                 −0.953 
                 21.173 
               
               
                 −5.870 
                 4.727 
                 21.173 
                 −2.404 
                 −1.121 
                 21.173 
               
               
                 −5.940 
                 4.890 
                 21.173 
                 −2.319 
                 −1.265 
                 21.173 
               
               
                 −6.001 
                 5.038 
                 21.173 
                 −2.243 
                 −1.395 
                 21.173 
               
               
                 −6.054 
                 5.170 
                 21.173 
                 −2.170 
                 −1.516 
                 21.173 
               
               
                 −6.102 
                 5.294 
                 21.173 
                 −2.102 
                 −1.629 
                 21.173 
               
               
                 −6.139 
                 5.403 
                 21.173 
                 −2.043 
                 −1.728 
                 21.173 
               
               
                 −6.164 
                 5.488 
                 21.173 
                 −1.997 
                 −1.803 
                 21.173 
               
               
                 −6.180 
                 5.558 
                 21.173 
                 −1.960 
                 −1.863 
                 21.173 
               
               
                 −6.187 
                 5.610 
                 21.173 
                 −1.933 
                 −1.909 
                 21.173 
               
               
                 −6.189 
                 5.650 
                 21.173 
                 −1.912 
                 −1.942 
                 21.173 
               
               
                 −6.186 
                 5.672 
                 21.173 
                 −1.908 
                 −1.972 
                 21.173 
               
               
                 −6.181 
                 5.685 
                 21.173 
                 −1.914 
                 −1.989 
                 21.173 
               
               
                 −6.177 
                 5.691 
                 21.173 
                 −1.921 
                 −1.997 
                 21.173 
               
               
                 −6.174 
                 5.693 
                 21.173 
                 −1.924 
                 −2.000 
                 21.173 
               
               
                   
               
            
           
         
       
     
     In exemplary embodiments, TABLE III below contains Cartesian coordinate data of an airfoil shape  150  of an airfoil  100  of a rotor blade  44 , which is disposed in the mid stage  62  of the compressor section  14 . Specifically, TABLE III below contains Cartesian coordinate data of an airfoil shape  150  of an airfoil  100  of a rotor blade  44 , which is disposed in the sixth stage S6 of the compressor section  14 . 
     
       
         
           
               
               
             
               
                 TABLE III 
               
             
            
               
                   
               
               
                 SUCTION SIDE 
                 PRESSURE SIDE 
               
            
           
           
               
               
               
               
               
               
            
               
                 X 
                 Y 
                 Z 
                 X 
                 Y 
                 Z 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 2.953 
                 −2.206 
                 0.932 
                 −2.120 
                 2.642 
                 0.932 
               
               
                 2.952 
                 −2.208 
                 0.932 
                 −2.118 
                 2.643 
                 0.932 
               
               
                 2.951 
                 −2.211 
                 0.932 
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                 1.684 
                 −3.503 
                 14.902 
               
               
                 −1.869 
                 1.801 
                 14.902 
                 1.720 
                 −3.560 
                 14.902 
               
               
                 −1.880 
                 1.855 
                 14.902 
                 1.750 
                 −3.606 
                 14.902 
               
               
                 −1.886 
                 1.896 
                 14.902 
                 1.772 
                 −3.640 
                 14.902 
               
               
                 −1.887 
                 1.926 
                 14.902 
                 1.788 
                 −3.666 
                 14.902 
               
               
                 −1.884 
                 1.943 
                 14.902 
                 1.796 
                 −3.688 
                 14.902 
               
               
                 −1.880 
                 1.954 
                 14.902 
                 1.792 
                 −3.701 
                 14.902 
               
               
                 −1.877 
                 1.958 
                 14.902 
                 1.788 
                 −3.708 
                 14.902 
               
               
                 −1.875 
                 1.959 
                 14.902 
                 1.786 
                 −3.710 
                 14.902 
               
               
                   
               
            
           
         
       
     
     In exemplary embodiments, TABLE IV below contains Cartesian coordinate data of an airfoil shape  150  of an airfoil  100  of a rotor blade  44 , which is disposed in the mid stage  62  of the compressor section  14 . Specifically, TABLE IV below contains Cartesian coordinate data of an airfoil shape  150  of an airfoil  100  of a rotor blade  44 , which is disposed in the seventh stage S7 of the compressor section  14 . 
     
       
         
           
               
               
             
               
                 TABLE IV 
               
             
            
               
                   
               
               
                 SUCTION SIDE 
                 PRESSURE SIDE 
               
            
           
           
               
               
               
               
               
               
            
               
                 X 
                 Y 
                 Z 
                 X 
                 Y 
                 Z 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 2.150 
                 −1.866 
                 0.915 
                 −1.943 
                 2.195 
                 0.915 
               
               
                 2.149 
                 −1.867 
                 0.915 
                 −1.942 
                 2.196 
                 0.915 
               
               
                 2.147 
                 −1.869 
                 0.915 
                 −1.940 
                 2.197 
                 0.915 
               
               
                 2.142 
                 −1.875 
                 0.915 
                 −1.935 
                 2.199 
                 0.915 
               
               
                 2.133 
                 −1.883 
                 0.915 
                 −1.926 
                 2.201 
                 0.915 
               
               
                 2.114 
                 −1.892 
                 0.915 
                 −1.912 
                 2.200 
                 0.915 
               
               
                 2.087 
                 −1.896 
                 0.915 
                 −1.886 
                 2.194 
                 0.915 
               
               
                 2.053 
                 −1.885 
                 0.915 
                 −1.855 
                 2.179 
                 0.915 
               
               
                 2.011 
                 −1.862 
                 0.915 
                 −1.816 
                 2.153 
                 0.915 
               
               
                 1.957 
                 −1.833 
                 0.915 
                 −1.770 
                 2.118 
                 0.915 
               
               
                 1.888 
                 −1.796 
                 0.915 
                 −1.713 
                 2.068 
                 0.915 
               
               
                 1.809 
                 −1.752 
                 0.915 
                 −1.649 
                 2.009 
                 0.915 
               
               
                 1.725 
                 −1.705 
                 0.915 
                 −1.583 
                 1.944 
                 0.915 
               
               
                 1.635 
                 −1.655 
                 0.915 
                 −1.509 
                 1.870 
                 0.915 
               
               
                 1.536 
                 −1.598 
                 0.915 
                 −1.427 
                 1.787 
                 0.915 
               
               
                 1.421 
                 −1.531 
                 0.915 
                 −1.337 
                 1.696 
                 0.915 
               
               
                 1.302 
                 −1.460 
                 0.915 
                 −1.243 
                 1.601 
                 0.915 
               
               
                 1.177 
                 −1.385 
                 0.915 
                 −1.145 
                 1.501 
                 0.915 
               
               
                 1.049 
                 −1.307 
                 0.915 
                 −1.043 
                 1.397 
                 0.915 
               
               
                 0.916 
                 −1.224 
                 0.915 
                 −0.938 
                 1.289 
                 0.915 
               
               
                 0.778 
                 −1.136 
                 0.915 
                 −0.828 
                 1.176 
                 0.915 
               
               
                 0.637 
                 −1.043 
                 0.915 
                 −0.715 
                 1.060 
                 0.915 
               
               
                 0.492 
                 −0.945 
                 0.915 
                 −0.597 
                 0.939 
                 0.915 
               
               
                 0.343 
                 −0.841 
                 0.915 
                 −0.475 
                 0.814 
                 0.915 
               
               
                 0.197 
                 −0.735 
                 0.915 
                 −0.353 
                 0.689 
                 0.915 
               
               
                 0.052 
                 −0.626 
                 0.915 
                 −0.232 
                 0.564 
                 0.915 
               
               
                 −0.090 
                 −0.514 
                 0.915 
                 −0.110 
                 0.438 
                 0.915 
               
               
                 −0.230 
                 −0.399 
                 0.915 
                 0.011 
                 0.313 
                 0.915 
               
               
                 −0.367 
                 −0.281 
                 0.915 
                 0.131 
                 0.187 
                 0.915 
               
               
                 −0.502 
                 −0.159 
                 0.915 
                 0.252 
                 0.061 
                 0.915 
               
               
                 −0.632 
                 −0.034 
                 0.915 
                 0.373 
                 −0.065 
                 0.915 
               
               
                 −0.760 
                 0.095 
                 0.915 
                 0.493 
                 −0.191 
                 0.915 
               
               
                 −0.883 
                 0.228 
                 0.915 
                 0.614 
                 −0.317 
                 0.915 
               
               
                 −1.003 
                 0.364 
                 0.915 
                 0.735 
                 −0.443 
                 0.915 
               
               
                 −1.118 
                 0.503 
                 0.915 
                 0.857 
                 −0.568 
                 0.915 
               
               
                 −1.226 
                 0.641 
                 0.915 
                 0.975 
                 −0.688 
                 0.915 
               
               
                 −1.326 
                 0.777 
                 0.915 
                 1.090 
                 −0.804 
                 0.915 
               
               
                 −1.420 
                 0.911 
                 0.915 
                 1.202 
                 −0.914 
                 0.915 
               
               
                 −1.506 
                 1.042 
                 0.915 
                 1.310 
                 −1.020 
                 0.915 
               
               
                 −1.585 
                 1.170 
                 0.915 
                 1.415 
                 −1.120 
                 0.915 
               
               
                 −1.657 
                 1.296 
                 0.915 
                 1.516 
                 −1.216 
                 0.915 
               
               
                 −1.723 
                 1.418 
                 0.915 
                 1.614 
                 −1.307 
                 0.915 
               
               
                 −1.781 
                 1.537 
                 0.915 
                 1.709 
                 −1.394 
                 0.915 
               
               
                 −1.832 
                 1.647 
                 0.915 
                 1.791 
                 −1.468 
                 0.915 
               
               
                 −1.874 
                 1.747 
                 0.915 
                 1.864 
                 −1.534 
                 0.915 
               
               
                 −1.908 
                 1.838 
                 0.915 
                 1.934 
                 −1.595 
                 0.915 
               
               
                 −1.936 
                 1.924 
                 0.915 
                 2.000 
                 −1.653 
                 0.915 
               
               
                 −1.956 
                 2.000 
                 0.915 
                 2.056 
                 −1.703 
                 0.915 
               
               
                 −1.967 
                 2.059 
                 0.915 
                 2.100 
                 −1.741 
                 0.915 
               
               
                 −1.971 
                 2.107 
                 0.915 
                 2.135 
                 −1.771 
                 0.915 
               
               
                 −1.969 
                 2.143 
                 0.915 
                 2.156 
                 −1.799 
                 0.915 
               
               
                 −1.963 
                 2.170 
                 0.915 
                 2.162 
                 −1.824 
                 0.915 
               
               
                 −1.956 
                 2.183 
                 0.915 
                 2.159 
                 −1.845 
                 0.915 
               
               
                 −1.950 
                 2.190 
                 0.915 
                 2.155 
                 −1.855 
                 0.915 
               
               
                 −1.946 
                 2.193 
                 0.915 
                 2.152 
                 −1.862 
                 0.915 
               
               
                 −1.944 
                 2.195 
                 0.915 
                 2.151 
                 −1.864 
                 0.915 
               
               
                 2.165 
                 −1.856 
                 1.791 
                 −1.941 
                 2.189 
                 1.791 
               
               
                 2.164 
                 −1.857 
                 1.791 
                 −1.940 
                 2.190 
                 1.791 
               
               
                 2.162 
                 −1.860 
                 1.791 
                 −1.938 
                 2.191 
                 1.791 
               
               
                 2.157 
                 −1.865 
                 1.791 
                 −1.933 
                 2.192 
                 1.791 
               
               
                 2.148 
                 −1.872 
                 1.791 
                 −1.924 
                 2.195 
                 1.791 
               
               
                 2.128 
                 −1.880 
                 1.791 
                 −1.910 
                 2.194 
                 1.791 
               
               
                 2.101 
                 −1.879 
                 1.791 
                 −1.885 
                 2.188 
                 1.791 
               
               
                 2.069 
                 −1.864 
                 1.791 
                 −1.853 
                 2.173 
                 1.791 
               
               
                 2.027 
                 −1.841 
                 1.791 
                 −1.814 
                 2.148 
                 1.791 
               
               
                 1.974 
                 −1.812 
                 1.791 
                 −1.768 
                 2.113 
                 1.791 
               
               
                 1.906 
                 −1.774 
                 1.791 
                 −1.710 
                 2.065 
                 1.791 
               
               
                 1.827 
                 −1.730 
                 1.791 
                 −1.645 
                 2.006 
                 1.791 
               
               
                 1.743 
                 −1.682 
                 1.791 
                 −1.578 
                 1.942 
                 1.791 
               
               
                 1.655 
                 −1.631 
                 1.791 
                 −1.503 
                 1.869 
                 1.791 
               
               
                 1.556 
                 −1.574 
                 1.791 
                 −1.420 
                 1.787 
                 1.791 
               
               
                 1.442 
                 −1.507 
                 1.791 
                 −1.330 
                 1.697 
                 1.791 
               
               
                 1.323 
                 −1.436 
                 1.791 
                 −1.235 
                 1.603 
                 1.791 
               
               
                 1.200 
                 −1.361 
                 1.791 
                 −1.136 
                 1.504 
                 1.791 
               
               
                 1.072 
                 −1.283 
                 1.791 
                 −1.034 
                 1.401 
                 1.791 
               
               
                 0.939 
                 −1.200 
                 1.791 
                 −0.928 
                 1.294 
                 1.791 
               
               
                 0.802 
                 −1.112 
                 1.791 
                 −0.817 
                 1.182 
                 1.791 
               
               
                 0.662 
                 −1.020 
                 1.791 
                 −0.703 
                 1.067 
                 1.791 
               
               
                 0.517 
                 −0.922 
                 1.791 
                 −0.584 
                 0.947 
                 1.791 
               
               
                 0.369 
                 −0.819 
                 1.791 
                 −0.462 
                 0.823 
                 1.791 
               
               
                 0.223 
                 −0.713 
                 1.791 
                 −0.339 
                 0.699 
                 1.791 
               
               
                 0.079 
                 −0.605 
                 1.791 
                 −0.217 
                 0.574 
                 1.791 
               
               
                 −0.063 
                 −0.494 
                 1.791 
                 −0.095 
                 0.450 
                 1.791 
               
               
                 −0.203 
                 −0.379 
                 1.791 
                 0.026 
                 0.325 
                 1.791 
               
               
                 −0.339 
                 −0.262 
                 1.791 
                 0.147 
                 0.199 
                 1.791 
               
               
                 −0.473 
                 −0.140 
                 1.791 
                 0.268 
                 0.074 
                 1.791 
               
               
                 −0.603 
                 −0.016 
                 1.791 
                 0.389 
                 −0.052 
                 1.791 
               
               
                 −0.730 
                 0.112 
                 1.791 
                 0.510 
                 −0.178 
                 1.791 
               
               
                 −0.854 
                 0.244 
                 1.791 
                 0.630 
                 −0.304 
                 1.791 
               
               
                 −0.974 
                 0.378 
                 1.791 
                 0.751 
                 −0.429 
                 1.791 
               
               
                 −1.090 
                 0.516 
                 1.791 
                 0.873 
                 −0.554 
                 1.791 
               
               
                 −1.199 
                 0.653 
                 1.791 
                 0.991 
                 −0.675 
                 1.791 
               
               
                 −1.301 
                 0.787 
                 1.791 
                 1.105 
                 −0.790 
                 1.791 
               
               
                 −1.395 
                 0.919 
                 1.791 
                 1.216 
                 −0.901 
                 1.791 
               
               
                 −1.483 
                 1.048 
                 1.791 
                 1.324 
                 −1.007 
                 1.791 
               
               
                 −1.563 
                 1.175 
                 1.791 
                 1.428 
                 −1.109 
                 1.791 
               
               
                 −1.637 
                 1.299 
                 1.791 
                 1.529 
                 −1.205 
                 1.791 
               
               
                 −1.705 
                 1.420 
                 1.791 
                 1.626 
                 −1.297 
                 1.791 
               
               
                 −1.766 
                 1.537 
                 1.791 
                 1.719 
                 −1.384 
                 1.791 
               
               
                 −1.818 
                 1.646 
                 1.791 
                 1.801 
                 −1.459 
                 1.791 
               
               
                 −1.862 
                 1.745 
                 1.791 
                 1.874 
                 −1.525 
                 1.791 
               
               
                 −1.898 
                 1.834 
                 1.791 
                 1.943 
                 −1.587 
                 1.791 
               
               
                 −1.927 
                 1.919 
                 1.791 
                 2.007 
                 −1.646 
                 1.791 
               
               
                 −1.949 
                 1.994 
                 1.791 
                 2.064 
                 −1.696 
                 1.791 
               
               
                 −1.961 
                 2.053 
                 1.791 
                 2.107 
                 −1.735 
                 1.791 
               
               
                 −1.967 
                 2.101 
                 1.791 
                 2.142 
                 −1.766 
                 1.791 
               
               
                 −1.966 
                 2.137 
                 1.791 
                 2.166 
                 −1.790 
                 1.791 
               
               
                 −1.960 
                 2.163 
                 1.791 
                 2.175 
                 −1.815 
                 1.791 
               
               
                 −1.954 
                 2.177 
                 1.791 
                 2.174 
                 −1.835 
                 1.791 
               
               
                 −1.948 
                 2.184 
                 1.791 
                 2.171 
                 −1.846 
                 1.791 
               
               
                 −1.944 
                 2.187 
                 1.791 
                 2.168 
                 −1.852 
                 1.791 
               
               
                 −1.942 
                 2.188 
                 1.791 
                 2.166 
                 −1.855 
                 1.791 
               
               
                 2.070 
                 −2.132 
                 3.669 
                 −1.814 
                 2.122 
                 3.669 
               
               
                 2.068 
                 −2.133 
                 3.669 
                 −1.813 
                 2.123 
                 3.669 
               
               
                 2.066 
                 −2.135 
                 3.669 
                 −1.811 
                 2.124 
                 3.669 
               
               
                 2.061 
                 −2.139 
                 3.669 
                 −1.806 
                 2.125 
                 3.669 
               
               
                 2.050 
                 −2.143 
                 3.669 
                 −1.797 
                 2.127 
                 3.669 
               
               
                 2.029 
                 −2.140 
                 3.669 
                 −1.783 
                 2.125 
                 3.669 
               
               
                 2.007 
                 −2.126 
                 3.669 
                 −1.758 
                 2.117 
                 3.669 
               
               
                 1.976 
                 −2.107 
                 3.669 
                 −1.728 
                 2.100 
                 3.669 
               
               
                 1.936 
                 −2.081 
                 3.669 
                 −1.690 
                 2.073 
                 3.669 
               
               
                 1.886 
                 −2.049 
                 3.669 
                 −1.646 
                 2.035 
                 3.669 
               
               
                 1.821 
                 −2.006 
                 3.669 
                 −1.591 
                 1.984 
                 3.669 
               
               
                 1.747 
                 −1.957 
                 3.669 
                 −1.530 
                 1.922 
                 3.669 
               
               
                 1.667 
                 −1.904 
                 3.669 
                 −1.466 
                 1.855 
                 3.669 
               
               
                 1.583 
                 −1.848 
                 3.669 
                 −1.395 
                 1.779 
                 3.669 
               
               
                 1.489 
                 −1.785 
                 3.669 
                 −1.317 
                 1.693 
                 3.669 
               
               
                 1.381 
                 −1.711 
                 3.669 
                 −1.231 
                 1.599 
                 3.669 
               
               
                 1.268 
                 −1.633 
                 3.669 
                 −1.141 
                 1.500 
                 3.669 
               
               
                 1.151 
                 −1.551 
                 3.669 
                 −1.048 
                 1.397 
                 3.669 
               
               
                 1.029 
                 −1.465 
                 3.669 
                 −0.951 
                 1.290 
                 3.669 
               
               
                 0.903 
                 −1.374 
                 3.669 
                 −0.850 
                 1.178 
                 3.669 
               
               
                 0.773 
                 −1.280 
                 3.669 
                 −0.745 
                 1.062 
                 3.669 
               
               
                 0.639 
                 −1.180 
                 3.669 
                 −0.636 
                 0.942 
                 3.669 
               
               
                 0.502 
                 −1.075 
                 3.669 
                 −0.523 
                 0.817 
                 3.669 
               
               
                 0.361 
                 −0.964 
                 3.669 
                 −0.406 
                 0.689 
                 3.669 
               
               
                 0.223 
                 −0.851 
                 3.669 
                 −0.289 
                 0.560 
                 3.669 
               
               
                 0.086 
                 −0.736 
                 3.669 
                 −0.172 
                 0.431 
                 3.669 
               
               
                 −0.048 
                 −0.617 
                 3.669 
                 −0.055 
                 0.302 
                 3.669 
               
               
                 −0.180 
                 −0.496 
                 3.669 
                 0.061 
                 0.173 
                 3.669 
               
               
                 −0.308 
                 −0.372 
                 3.669 
                 0.176 
                 0.043 
                 3.669 
               
               
                 −0.434 
                 −0.245 
                 3.669 
                 0.291 
                 −0.088 
                 3.669 
               
               
                 −0.556 
                 −0.114 
                 3.669 
                 0.404 
                 −0.220 
                 3.669 
               
               
                 −0.675 
                 0.019 
                 3.669 
                 0.517 
                 −0.352 
                 3.669 
               
               
                 −0.791 
                 0.156 
                 3.669 
                 0.630 
                 −0.484 
                 3.669 
               
               
                 −0.903 
                 0.295 
                 3.669 
                 0.743 
                 −0.616 
                 3.669 
               
               
                 −1.012 
                 0.437 
                 3.669 
                 0.856 
                 −0.748 
                 3.669 
               
               
                 −1.114 
                 0.576 
                 3.669 
                 0.965 
                 −0.876 
                 3.669 
               
               
                 −1.209 
                 0.713 
                 3.669 
                 1.071 
                 −0.999 
                 3.669 
               
               
                 −1.298 
                 0.848 
                 3.669 
                 1.174 
                 −1.117 
                 3.669 
               
               
                 −1.380 
                 0.979 
                 3.669 
                 1.273 
                 −1.230 
                 3.669 
               
               
                 −1.455 
                 1.108 
                 3.669 
                 1.370 
                 −1.338 
                 3.669 
               
               
                 −1.524 
                 1.233 
                 3.669 
                 1.463 
                 −1.442 
                 3.669 
               
               
                 −1.588 
                 1.355 
                 3.669 
                 1.553 
                 −1.540 
                 3.669 
               
               
                 −1.645 
                 1.473 
                 3.669 
                 1.639 
                 −1.634 
                 3.669 
               
               
                 −1.694 
                 1.581 
                 3.669 
                 1.714 
                 −1.715 
                 3.669 
               
               
                 −1.736 
                 1.680 
                 3.669 
                 1.781 
                 −1.787 
                 3.669 
               
               
                 −1.770 
                 1.769 
                 3.669 
                 1.845 
                 −1.854 
                 3.669 
               
               
                 −1.798 
                 1.854 
                 3.669 
                 1.905 
                 −1.917 
                 3.669 
               
               
                 −1.819 
                 1.929 
                 3.669 
                 1.957 
                 −1.972 
                 3.669 
               
               
                 −1.832 
                 1.987 
                 3.669 
                 1.997 
                 −2.014 
                 3.669 
               
               
                 −1.838 
                 2.034 
                 3.669 
                 2.029 
                 −2.047 
                 3.669 
               
               
                 −1.838 
                 2.070 
                 3.669 
                 2.053 
                 −2.072 
                 3.669 
               
               
                 −1.833 
                 2.096 
                 3.669 
                 2.071 
                 −2.091 
                 3.669 
               
               
                 −1.826 
                 2.110 
                 3.669 
                 2.077 
                 −2.110 
                 3.669 
               
               
                 −1.820 
                 2.117 
                 3.669 
                 2.075 
                 −2.121 
                 3.669 
               
               
                 −1.817 
                 2.120 
                 3.669 
                 2.072 
                 −2.128 
                 3.669 
               
               
                 −1.815 
                 2.122 
                 3.669 
                 2.071 
                 −2.130 
                 3.669 
               
               
                 1.715 
                 −2.645 
                 6.988 
                 −1.567 
                 1.866 
                 6.988 
               
               
                 1.713 
                 −2.646 
                 6.988 
                 −1.566 
                 1.866 
                 6.988 
               
               
                 1.711 
                 −2.648 
                 6.988 
                 −1.564 
                 1.867 
                 6.988 
               
               
                 1.705 
                 −2.651 
                 6.988 
                 −1.560 
                 1.868 
                 6.988 
               
               
                 1.694 
                 −2.653 
                 6.988 
                 −1.551 
                 1.869 
                 6.988 
               
               
                 1.676 
                 −2.645 
                 6.988 
                 −1.537 
                 1.866 
                 6.988 
               
               
                 1.656 
                 −2.629 
                 6.988 
                 −1.514 
                 1.855 
                 6.988 
               
               
                 1.630 
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                 −0.830 
                 12.017 
               
               
                 −0.497 
                 −0.313 
                 12.017 
                 0.337 
                 −0.968 
                 12.017 
               
               
                 −0.585 
                 −0.169 
                 12.017 
                 0.430 
                 −1.105 
                 12.017 
               
               
                 −0.671 
                 −0.024 
                 12.017 
                 0.523 
                 −1.244 
                 12.017 
               
               
                 −0.755 
                 0.122 
                 12.017 
                 0.615 
                 −1.381 
                 12.017 
               
               
                 −0.834 
                 0.264 
                 12.017 
                 0.705 
                 −1.515 
                 12.017 
               
               
                 −0.909 
                 0.402 
                 12.017 
                 0.793 
                 −1.643 
                 12.017 
               
               
                 −0.979 
                 0.536 
                 12.017 
                 0.877 
                 −1.766 
                 12.017 
               
               
                 −1.044 
                 0.667 
                 12.017 
                 0.959 
                 −1.885 
                 12.017 
               
               
                 −1.106 
                 0.793 
                 12.017 
                 1.039 
                 −1.998 
                 12.017 
               
               
                 −1.164 
                 0.914 
                 12.017 
                 1.115 
                 −2.107 
                 12.017 
               
               
                 −1.217 
                 1.032 
                 12.017 
                 1.190 
                 −2.210 
                 12.017 
               
               
                 −1.267 
                 1.145 
                 12.017 
                 1.261 
                 −2.309 
                 12.017 
               
               
                 −1.311 
                 1.248 
                 12.017 
                 1.323 
                 −2.394 
                 12.017 
               
               
                 −1.349 
                 1.342 
                 12.017 
                 1.379 
                 −2.470 
                 12.017 
               
               
                 −1.382 
                 1.425 
                 12.017 
                 1.432 
                 −2.541 
                 12.017 
               
               
                 −1.411 
                 1.504 
                 12.017 
                 1.482 
                 −2.607 
                 12.017 
               
               
                 −1.433 
                 1.574 
                 12.017 
                 1.525 
                 −2.665 
                 12.017 
               
               
                 −1.448 
                 1.628 
                 12.017 
                 1.559 
                 −2.709 
                 12.017 
               
               
                 −1.457 
                 1.672 
                 12.017 
                 1.586 
                 −2.744 
                 12.017 
               
               
                 −1.461 
                 1.705 
                 12.017 
                 1.606 
                 −2.770 
                 12.017 
               
               
                 −1.460 
                 1.730 
                 12.017 
                 1.622 
                 −2.790 
                 12.017 
               
               
                 −1.458 
                 1.744 
                 12.017 
                 1.629 
                 −2.807 
                 12.017 
               
               
                 −1.453 
                 1.752 
                 12.017 
                 1.627 
                 −2.818 
                 12.017 
               
               
                 −1.450 
                 1.755 
                 12.017 
                 1.624 
                 −2.824 
                 12.017 
               
               
                 −1.448 
                 1.756 
                 12.017 
                 1.622 
                 −2.826 
                 12.017 
               
               
                   
               
            
           
         
       
     
     In exemplary embodiments, TABLE V below contains Cartesian coordinate data of an airfoil shape  150  of an airfoil  100  of a rotor blade  44 , which is disposed in the mid stage  62  of the compressor section  14 . Specifically, TABLE V below contains Cartesian coordinate data of an airfoil shape  150  of an airfoil  100  of a rotor blade  44 , which is disposed in the eighth stage S8 of the compressor section  14 . 
     
       
         
           
               
               
             
               
                 TABLE V 
               
             
            
               
                   
               
               
                 SUCTION SIDE 
                 PRESSURE SIDE 
               
            
           
           
               
               
               
               
               
               
            
               
                 X 
                 Y 
                 Z 
                 X 
                 Y 
                 Z 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 1.681 
                 −1.404 
                 0.659 
                 −1.356 
                 1.740 
                 0.659 
               
               
                   
                 1.680 
                 −1.405 
                 0.659 
                 −1.355 
                 1.740 
                 0.659 
               
               
                   
                 1.679 
                 −1.407 
                 0.659 
                 −1.354 
                 1.741 
                 0.659 
               
               
                   
                 1.675 
                 −1.411 
                 0.659 
                 −1.350 
                 1.742 
                 0.659 
               
               
                   
                 1.668 
                 −1.417 
                 0.659 
                 −1.343 
                 1.742 
                 0.659 
               
               
                   
                 1.655 
                 −1.426 
                 0.659 
                 −1.332 
                 1.741 
                 0.659 
               
               
                   
                 1.635 
                 −1.431 
                 0.659 
                 −1.314 
                 1.733 
                 0.659 
               
               
                   
                 1.608 
                 −1.425 
                 0.659 
                 −1.292 
                 1.718 
                 0.659 
               
               
                   
                 1.574 
                 −1.409 
                 0.659 
                 −1.266 
                 1.695 
                 0.659 
               
               
                   
                 1.533 
                 −1.389 
                 0.659 
                 −1.235 
                 1.663 
                 0.659 
               
               
                   
                 1.479 
                 −1.362 
                 0.659 
                 −1.197 
                 1.621 
                 0.659 
               
               
                   
                 1.417 
                 −1.331 
                 0.659 
                 −1.153 
                 1.571 
                 0.659 
               
               
                   
                 1.351 
                 −1.298 
                 0.659 
                 −1.107 
                 1.517 
                 0.659 
               
               
                   
                 1.281 
                 −1.262 
                 0.659 
                 −1.056 
                 1.456 
                 0.659 
               
               
                   
                 1.203 
                 −1.221 
                 0.659 
                 −1.000 
                 1.389 
                 0.659 
               
               
                   
                 1.113 
                 −1.173 
                 0.659 
                 −0.938 
                 1.314 
                 0.659 
               
               
                   
                 1.020 
                 −1.122 
                 0.659 
                 −0.874 
                 1.235 
                 0.659 
               
               
                   
                 0.923 
                 −1.068 
                 0.659 
                 −0.806 
                 1.154 
                 0.659 
               
               
                   
                 0.823 
                 −1.011 
                 0.659 
                 −0.736 
                 1.069 
                 0.659 
               
               
                   
                 0.719 
                 −0.949 
                 0.659 
                 −0.663 
                 0.980 
                 0.659 
               
               
                   
                 0.613 
                 −0.884 
                 0.659 
                 −0.586 
                 0.889 
                 0.659 
               
               
                   
                 0.503 
                 −0.815 
                 0.659 
                 −0.505 
                 0.796 
                 0.659 
               
               
                   
                 0.391 
                 −0.742 
                 0.659 
                 −0.422 
                 0.699 
                 0.659 
               
               
                   
                 0.276 
                 −0.663 
                 0.659 
                 −0.334 
                 0.599 
                 0.659 
               
               
                   
                 0.164 
                 −0.583 
                 0.659 
                 −0.246 
                 0.500 
                 0.659 
               
               
                   
                 0.053 
                 −0.499 
                 0.659 
                 −0.158 
                 0.402 
                 0.659 
               
               
                   
                 −0.055 
                 −0.412 
                 0.659 
                 −0.069 
                 0.304 
                 0.659 
               
               
                   
                 −0.161 
                 −0.323 
                 0.659 
                 0.020 
                 0.206 
                 0.659 
               
               
                   
                 −0.264 
                 −0.229 
                 0.659 
                 0.109 
                 0.109 
                 0.659 
               
               
                   
                 −0.364 
                 −0.133 
                 0.659 
                 0.199 
                 0.011 
                 0.659 
               
               
                   
                 −0.459 
                 −0.033 
                 0.659 
                 0.289 
                 −0.086 
                 0.659 
               
               
                   
                 −0.552 
                 0.071 
                 0.659 
                 0.380 
                 −0.182 
                 0.659 
               
               
                   
                 −0.640 
                 0.178 
                 0.659 
                 0.472 
                 −0.277 
                 0.659 
               
               
                   
                 −0.726 
                 0.287 
                 0.659 
                 0.565 
                 −0.371 
                 0.659 
               
               
                   
                 −0.807 
                 0.400 
                 0.659 
                 0.659 
                 −0.464 
                 0.659 
               
               
                   
                 −0.882 
                 0.511 
                 0.659 
                 0.752 
                 −0.553 
                 0.659 
               
               
                   
                 −0.951 
                 0.620 
                 0.659 
                 0.842 
                 −0.637 
                 0.659 
               
               
                   
                 −1.015 
                 0.728 
                 0.659 
                 0.930 
                 −0.717 
                 0.659 
               
               
                   
                 −1.073 
                 0.833 
                 0.659 
                 1.016 
                 −0.794 
                 0.659 
               
               
                   
                 −1.125 
                 0.936 
                 0.659 
                 1.099 
                 −0.866 
                 0.659 
               
               
                   
                 −1.172 
                 1.037 
                 0.659 
                 1.179 
                 −0.935 
                 0.659 
               
               
                   
                 −1.216 
                 1.134 
                 0.659 
                 1.257 
                 −1.000 
                 0.659 
               
               
                   
                 −1.253 
                 1.228 
                 0.659 
                 1.332 
                 −1.062 
                 0.659 
               
               
                   
                 −1.285 
                 1.315 
                 0.659 
                 1.397 
                 −1.115 
                 0.659 
               
               
                   
                 −1.312 
                 1.394 
                 0.659 
                 1.455 
                 −1.162 
                 0.659 
               
               
                   
                 −1.333 
                 1.465 
                 0.659 
                 1.511 
                 −1.206 
                 0.659 
               
               
                   
                 −1.351 
                 1.532 
                 0.659 
                 1.563 
                 −1.247 
                 0.659 
               
               
                   
                 −1.365 
                 1.590 
                 0.659 
                 1.608 
                 −1.282 
                 0.659 
               
               
                   
                 −1.374 
                 1.636 
                 0.659 
                 1.642 
                 −1.309 
                 0.659 
               
               
                   
                 −1.377 
                 1.672 
                 0.659 
                 1.670 
                 −1.331 
                 0.659 
               
               
                   
                 −1.376 
                 1.700 
                 0.659 
                 1.685 
                 −1.353 
                 0.659 
               
               
                   
                 −1.372 
                 1.720 
                 0.659 
                 1.689 
                 −1.372 
                 0.659 
               
               
                   
                 −1.366 
                 1.731 
                 0.659 
                 1.687 
                 −1.387 
                 0.659 
               
               
                   
                 −1.362 
                 1.736 
                 0.659 
                 1.685 
                 −1.396 
                 0.659 
               
               
                   
                 −1.359 
                 1.738 
                 0.659 
                 1.682 
                 −1.400 
                 0.659 
               
               
                   
                 −1.357 
                 1.739 
                 0.659 
                 1.681 
                 −1.402 
                 0.659 
               
               
                   
                 1.673 
                 −1.431 
                 1.518 
                 −1.350 
                 1.740 
                 1.518 
               
               
                   
                 1.672 
                 −1.432 
                 1.518 
                 −1.349 
                 1.740 
                 1.518 
               
               
                   
                 1.670 
                 −1.433 
                 1.518 
                 −1.347 
                 1.741 
                 1.518 
               
               
                   
                 1.667 
                 −1.437 
                 1.518 
                 −1.344 
                 1.742 
                 1.518 
               
               
                   
                 1.659 
                 −1.443 
                 1.518 
                 −1.337 
                 1.743 
                 1.518 
               
               
                   
                 1.645 
                 −1.449 
                 1.518 
                 −1.326 
                 1.742 
                 1.518 
               
               
                   
                 1.624 
                 −1.449 
                 1.518 
                 −1.307 
                 1.735 
                 1.518 
               
               
                   
                 1.600 
                 −1.438 
                 1.518 
                 −1.285 
                 1.721 
                 1.518 
               
               
                   
                 1.568 
                 −1.419 
                 1.518 
                 −1.257 
                 1.700 
                 1.518 
               
               
                   
                 1.528 
                 −1.397 
                 1.518 
                 −1.224 
                 1.670 
                 1.518 
               
               
                   
                 1.477 
                 −1.367 
                 1.518 
                 −1.183 
                 1.630 
                 1.518 
               
               
                   
                 1.418 
                 −1.332 
                 1.518 
                 −1.136 
                 1.583 
                 1.518 
               
               
                   
                 1.355 
                 −1.295 
                 1.518 
                 −1.088 
                 1.532 
                 1.518 
               
               
                   
                 1.288 
                 −1.255 
                 1.518 
                 −1.033 
                 1.474 
                 1.518 
               
               
                   
                 1.214 
                 −1.210 
                 1.518 
                 −0.973 
                 1.409 
                 1.518 
               
               
                   
                 1.128 
                 −1.157 
                 1.518 
                 −0.907 
                 1.338 
                 1.518 
               
               
                   
                 1.039 
                 −1.102 
                 1.518 
                 −0.839 
                 1.263 
                 1.518 
               
               
                   
                 0.946 
                 −1.043 
                 1.518 
                 −0.768 
                 1.185 
                 1.518 
               
               
                   
                 0.851 
                 −0.980 
                 1.518 
                 −0.693 
                 1.103 
                 1.518 
               
               
                   
                 0.751 
                 −0.915 
                 1.518 
                 −0.617 
                 1.018 
                 1.518 
               
               
                   
                 0.649 
                 −0.846 
                 1.518 
                 −0.536 
                 0.929 
                 1.518 
               
               
                   
                 0.544 
                 −0.772 
                 1.518 
                 −0.453 
                 0.838 
                 1.518 
               
               
                   
                 0.436 
                 −0.695 
                 1.518 
                 −0.367 
                 0.743 
                 1.518 
               
               
                   
                 0.326 
                 −0.614 
                 1.518 
                 −0.278 
                 0.645 
                 1.518 
               
               
                   
                 0.217 
                 −0.530 
                 1.518 
                 −0.189 
                 0.547 
                 1.518 
               
               
                   
                 0.110 
                 −0.445 
                 1.518 
                 −0.100 
                 0.450 
                 1.518 
               
               
                   
                 0.004 
                 −0.357 
                 1.518 
                 −0.010 
                 0.352 
                 1.518 
               
               
                   
                 −0.099 
                 −0.267 
                 1.518 
                 0.079 
                 0.254 
                 1.518 
               
               
                   
                 −0.200 
                 −0.175 
                 1.518 
                 0.167 
                 0.155 
                 1.518 
               
               
                   
                 −0.298 
                 −0.079 
                 1.518 
                 0.256 
                 0.057 
                 1.518 
               
               
                   
                 −0.394 
                 0.019 
                 1.518 
                 0.345 
                 −0.041 
                 1.518 
               
               
                   
                 −0.486 
                 0.121 
                 1.518 
                 0.433 
                 −0.140 
                 1.518 
               
               
                   
                 −0.575 
                 0.225 
                 1.518 
                 0.523 
                 −0.237 
                 1.518 
               
               
                   
                 −0.662 
                 0.331 
                 1.518 
                 0.613 
                 −0.334 
                 1.518 
               
               
                   
                 −0.745 
                 0.440 
                 1.518 
                 0.704 
                 −0.431 
                 1.518 
               
               
                   
                 −0.823 
                 0.547 
                 1.518 
                 0.792 
                 −0.524 
                 1.518 
               
               
                   
                 −0.895 
                 0.653 
                 1.518 
                 0.878 
                 −0.612 
                 1.518 
               
               
                   
                 −0.962 
                 0.757 
                 1.518 
                 0.961 
                 −0.697 
                 1.518 
               
               
                   
                 −1.024 
                 0.859 
                 1.518 
                 1.042 
                 −0.779 
                 1.518 
               
               
                   
                 −1.080 
                 0.958 
                 1.518 
                 1.121 
                 −0.856 
                 1.518 
               
               
                   
                 −1.132 
                 1.055 
                 1.518 
                 1.197 
                 −0.930 
                 1.518 
               
               
                   
                 −1.179 
                 1.149 
                 1.518 
                 1.270 
                 −1.000 
                 1.518 
               
               
                   
                 −1.221 
                 1.240 
                 1.518 
                 1.340 
                 −1.067 
                 1.518 
               
               
                   
                 −1.257 
                 1.324 
                 1.518 
                 1.401 
                 −1.125 
                 1.518 
               
               
                   
                 −1.287 
                 1.401 
                 1.518 
                 1.456 
                 −1.176 
                 1.518 
               
               
                   
                 −1.312 
                 1.469 
                 1.518 
                 1.508 
                 −1.224 
                 1.518 
               
               
                   
                 −1.334 
                 1.534 
                 1.518 
                 1.557 
                 −1.269 
                 1.518 
               
               
                   
                 −1.350 
                 1.591 
                 1.518 
                 1.599 
                 −1.307 
                 1.518 
               
               
                   
                 −1.361 
                 1.636 
                 1.518 
                 1.632 
                 −1.337 
                 1.518 
               
               
                   
                 −1.366 
                 1.672 
                 1.518 
                 1.658 
                 −1.361 
                 1.518 
               
               
                   
                 −1.367 
                 1.699 
                 1.518 
                 1.676 
                 −1.380 
                 1.518 
               
               
                   
                 −1.364 
                 1.720 
                 1.518 
                 1.681 
                 −1.399 
                 1.518 
               
               
                   
                 −1.359 
                 1.730 
                 1.518 
                 1.680 
                 −1.415 
                 1.518 
               
               
                   
                 −1.355 
                 1.736 
                 1.518 
                 1.677 
                 −1.423 
                 1.518 
               
               
                   
                 −1.352 
                 1.738 
                 1.518 
                 1.675 
                 −1.428 
                 1.518 
               
               
                   
                 −1.350 
                 1.739 
                 1.518 
                 1.673 
                 −1.429 
                 1.518 
               
               
                   
                 1.532 
                 −1.737 
                 2.917 
                 −1.252 
                 1.678 
                 2.917 
               
               
                   
                 1.531 
                 −1.738 
                 2.917 
                 −1.251 
                 1.678 
                 2.917 
               
               
                   
                 1.530 
                 −1.739 
                 2.917 
                 −1.250 
                 1.679 
                 2.917 
               
               
                   
                 1.525 
                 −1.742 
                 2.917 
                 −1.246 
                 1.680 
                 2.917 
               
               
                   
                 1.517 
                 −1.745 
                 2.917 
                 −1.239 
                 1.681 
                 2.917 
               
               
                   
                 1.501 
                 −1.743 
                 2.917 
                 −1.228 
                 1.679 
                 2.917 
               
               
                   
                 1.484 
                 −1.731 
                 2.917 
                 −1.210 
                 1.671 
                 2.917 
               
               
                   
                 1.463 
                 −1.715 
                 2.917 
                 −1.188 
                 1.656 
                 2.917 
               
               
                   
                 1.434 
                 −1.693 
                 2.917 
                 −1.161 
                 1.634 
                 2.917 
               
               
                   
                 1.397 
                 −1.666 
                 2.917 
                 −1.129 
                 1.603 
                 2.917 
               
               
                   
                 1.350 
                 −1.630 
                 2.917 
                 −1.089 
                 1.562 
                 2.917 
               
               
                   
                 1.296 
                 −1.589 
                 2.917 
                 −1.044 
                 1.512 
                 2.917 
               
               
                   
                 1.238 
                 −1.545 
                 2.917 
                 −0.997 
                 1.460 
                 2.917 
               
               
                   
                 1.177 
                 −1.498 
                 2.917 
                 −0.944 
                 1.400 
                 2.917 
               
               
                   
                 1.109 
                 −1.445 
                 2.917 
                 −0.886 
                 1.333 
                 2.917 
               
               
                   
                 1.030 
                 −1.384 
                 2.917 
                 −0.822 
                 1.258 
                 2.917 
               
               
                   
                 0.948 
                 −1.318 
                 2.917 
                 −0.757 
                 1.180 
                 2.917 
               
               
                   
                 0.864 
                 −1.250 
                 2.917 
                 −0.689 
                 1.099 
                 2.917 
               
               
                   
                 0.776 
                 −1.178 
                 2.917 
                 −0.618 
                 1.013 
                 2.917 
               
               
                   
                 0.685 
                 −1.103 
                 2.917 
                 −0.544 
                 0.925 
                 2.917 
               
               
                   
                 0.591 
                 −1.024 
                 2.917 
                 −0.468 
                 0.832 
                 2.917 
               
               
                   
                 0.495 
                 −0.941 
                 2.917 
                 −0.390 
                 0.736 
                 2.917 
               
               
                   
                 0.396 
                 −0.853 
                 2.917 
                 −0.309 
                 0.636 
                 2.917 
               
               
                   
                 0.295 
                 −0.762 
                 2.917 
                 −0.225 
                 0.533 
                 2.917 
               
               
                   
                 0.196 
                 −0.669 
                 2.917 
                 −0.141 
                 0.429 
                 2.917 
               
               
                   
                 0.098 
                 −0.574 
                 2.917 
                 −0.058 
                 0.325 
                 2.917 
               
               
                   
                 0.002 
                 −0.478 
                 2.917 
                 0.025 
                 0.222 
                 2.917 
               
               
                   
                 −0.092 
                 −0.379 
                 2.917 
                 0.107 
                 0.117 
                 2.917 
               
               
                   
                 −0.184 
                 −0.279 
                 2.917 
                 0.189 
                 0.012 
                 2.917 
               
               
                   
                 −0.274 
                 −0.176 
                 2.917 
                 0.269 
                 −0.094 
                 2.917 
               
               
                   
                 −0.361 
                 −0.071 
                 2.917 
                 0.350 
                 −0.200 
                 2.917 
               
               
                   
                 −0.445 
                 0.036 
                 2.917 
                 0.430 
                 −0.306 
                 2.917 
               
               
                   
                 −0.526 
                 0.145 
                 2.917 
                 0.510 
                 −0.412 
                 2.917 
               
               
                   
                 −0.606 
                 0.256 
                 2.917 
                 0.591 
                 −0.518 
                 2.917 
               
               
                   
                 −0.682 
                 0.369 
                 2.917 
                 0.671 
                 −0.624 
                 2.917 
               
               
                   
                 −0.754 
                 0.479 
                 2.917 
                 0.749 
                 −0.726 
                 2.917 
               
               
                   
                 −0.821 
                 0.587 
                 2.917 
                 0.825 
                 −0.824 
                 2.917 
               
               
                   
                 −0.882 
                 0.693 
                 2.917 
                 0.899 
                 −0.919 
                 2.917 
               
               
                   
                 −0.940 
                 0.796 
                 2.917 
                 0.970 
                 −1.010 
                 2.917 
               
               
                   
                 −0.993 
                 0.897 
                 2.917 
                 1.038 
                 −1.097 
                 2.917 
               
               
                   
                 −1.041 
                 0.994 
                 2.917 
                 1.105 
                 −1.180 
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                 −1.088 
                 1.121 
                 7.817 
                 1.188 
                 −2.101 
                 7.817 
               
               
                   
                 1.144 
                 −2.085 
                 8.404 
                 −1.053 
                 1.144 
                 8.404 
               
               
                   
                 1.143 
                 −2.086 
                 8.404 
                 −1.052 
                 1.144 
                 8.404 
               
               
                   
                 1.141 
                 −2.087 
                 8.404 
                 −1.050 
                 1.145 
                 8.404 
               
               
                   
                 1.137 
                 −2.090 
                 8.404 
                 −1.047 
                 1.145 
                 8.404 
               
               
                   
                 1.129 
                 −2.091 
                 8.404 
                 −1.041 
                 1.144 
                 8.404 
               
               
                   
                 1.116 
                 −2.087 
                 8.404 
                 −1.032 
                 1.140 
                 8.404 
               
               
                   
                 1.103 
                 −2.075 
                 8.404 
                 −1.018 
                 1.129 
                 8.404 
               
               
                   
                 1.086 
                 −2.059 
                 8.404 
                 −1.001 
                 1.113 
                 8.404 
               
               
                   
                 1.062 
                 −2.037 
                 8.404 
                 −0.981 
                 1.089 
                 8.404 
               
               
                   
                 1.033 
                 −2.010 
                 8.404 
                 −0.958 
                 1.057 
                 8.404 
               
               
                   
                 0.995 
                 −1.975 
                 8.404 
                 −0.929 
                 1.015 
                 8.404 
               
               
                   
                 0.951 
                 −1.934 
                 8.404 
                 −0.898 
                 0.965 
                 8.404 
               
               
                   
                 0.905 
                 −1.891 
                 8.404 
                 −0.866 
                 0.911 
                 8.404 
               
               
                   
                 0.856 
                 −1.844 
                 8.404 
                 −0.829 
                 0.850 
                 8.404 
               
               
                   
                 0.802 
                 −1.791 
                 8.404 
                 −0.789 
                 0.783 
                 8.404 
               
               
                   
                 0.739 
                 −1.730 
                 8.404 
                 −0.745 
                 0.709 
                 8.404 
               
               
                   
                 0.674 
                 −1.665 
                 8.404 
                 −0.699 
                 0.631 
                 8.404 
               
               
                   
                 0.607 
                 −1.597 
                 8.404 
                 −0.650 
                 0.550 
                 8.404 
               
               
                   
                 0.538 
                 −1.525 
                 8.404 
                 −0.600 
                 0.466 
                 8.404 
               
               
                   
                 0.468 
                 −1.449 
                 8.404 
                 −0.547 
                 0.379 
                 8.404 
               
               
                   
                 0.395 
                 −1.370 
                 8.404 
                 −0.492 
                 0.288 
                 8.404 
               
               
                   
                 0.321 
                 −1.287 
                 8.404 
                 −0.434 
                 0.195 
                 8.404 
               
               
                   
                 0.246 
                 −1.199 
                 8.404 
                 −0.374 
                 0.098 
                 8.404 
               
               
                   
                 0.169 
                 −1.107 
                 8.404 
                 −0.312 
                 −0.002 
                 8.404 
               
               
                   
                 0.095 
                 −1.014 
                 8.404 
                 −0.249 
                 −0.102 
                 8.404 
               
               
                   
                 0.021 
                 −0.919 
                 8.404 
                 −0.185 
                 −0.201 
                 8.404 
               
               
                   
                 −0.050 
                 −0.824 
                 8.404 
                 −0.121 
                 −0.300 
                 8.404 
               
               
                   
                 −0.119 
                 −0.726 
                 8.404 
                 −0.056 
                 −0.398 
                 8.404 
               
               
                   
                 −0.187 
                 −0.628 
                 8.404 
                 0.009 
                 −0.496 
                 8.404 
               
               
                   
                 −0.253 
                 −0.528 
                 8.404 
                 0.075 
                 −0.593 
                 8.404 
               
               
                   
                 −0.317 
                 −0.428 
                 8.404 
                 0.142 
                 −0.691 
                 8.404 
               
               
                   
                 −0.381 
                 −0.326 
                 8.404 
                 0.208 
                 −0.788 
                 8.404 
               
               
                   
                 −0.442 
                 −0.224 
                 8.404 
                 0.275 
                 −0.885 
                 8.404 
               
               
                   
                 −0.503 
                 −0.121 
                 8.404 
                 0.342 
                 −0.982 
                 8.404 
               
               
                   
                 −0.562 
                 −0.017 
                 8.404 
                 0.410 
                 −1.078 
                 8.404 
               
               
                   
                 −0.617 
                 0.084 
                 8.404 
                 0.475 
                 −1.171 
                 8.404 
               
               
                   
                 −0.670 
                 0.183 
                 8.404 
                 0.539 
                 −1.260 
                 8.404 
               
               
                   
                 −0.719 
                 0.278 
                 8.404 
                 0.601 
                 −1.346 
                 8.404 
               
               
                   
                 −0.766 
                 0.371 
                 8.404 
                 0.662 
                 −1.429 
                 8.404 
               
               
                   
                 −0.809 
                 0.460 
                 8.404 
                 0.720 
                 −1.508 
                 8.404 
               
               
                   
                 −0.850 
                 0.547 
                 8.404 
                 0.776 
                 −1.583 
                 8.404 
               
               
                   
                 −0.888 
                 0.630 
                 8.404 
                 0.831 
                 −1.655 
                 8.404 
               
               
                   
                 −0.924 
                 0.710 
                 8.404 
                 0.883 
                 −1.724 
                 8.404 
               
               
                   
                 −0.955 
                 0.783 
                 8.404 
                 0.929 
                 −1.783 
                 8.404 
               
               
                   
                 −0.983 
                 0.849 
                 8.404 
                 0.970 
                 −1.836 
                 8.404 
               
               
                   
                 −1.006 
                 0.909 
                 8.404 
                 1.009 
                 −1.885 
                 8.404 
               
               
                   
                 −1.027 
                 0.965 
                 8.404 
                 1.045 
                 −1.931 
                 8.404 
               
               
                   
                 −1.043 
                 1.014 
                 8.404 
                 1.077 
                 −1.971 
                 8.404 
               
               
                   
                 −1.054 
                 1.052 
                 8.404 
                 1.101 
                 −2.002 
                 8.404 
               
               
                   
                 −1.060 
                 1.083 
                 8.404 
                 1.121 
                 −2.026 
                 8.404 
               
               
                   
                 −1.063 
                 1.107 
                 8.404 
                 1.136 
                 −2.045 
                 8.404 
               
               
                   
                 −1.062 
                 1.125 
                 8.404 
                 1.147 
                 −2.058 
                 8.404 
               
               
                   
                 −1.060 
                 1.135 
                 8.404 
                 1.150 
                 −2.071 
                 8.404 
               
               
                   
                 −1.057 
                 1.140 
                 8.404 
                 1.148 
                 −2.079 
                 8.404 
               
               
                   
                 −1.055 
                 1.143 
                 8.404 
                 1.146 
                 −2.083 
                 8.404 
               
               
                   
                 −1.053 
                 1.143 
                 8.404 
                 1.145 
                 −2.085 
                 8.404 
               
               
                   
                   
               
            
           
         
       
     
     In exemplary embodiments, TABLE VI below contains Cartesian coordinate data of an airfoil shape  150  of an airfoil  100  of a rotor blade  44 , which is disposed in the mid stage  62  of the compressor section  14 . Specifically, TABLE VI below contains Cartesian coordinate data of an airfoil shape  150  of an airfoil  100  of a rotor blade  44 , which is disposed in the ninth stage S9 of the compressor section  14 . 
     
       
         
           
               
               
             
               
                 TABLE VI 
               
             
            
               
                   
               
               
                 SUCTION SIDE 
                 PRESSURE SIDE 
               
            
           
           
               
               
               
               
               
               
            
               
                 X 
                 Y 
                 Z 
                 X 
                 Y 
                 Z 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 2.672 
                 −1.956 
                 0.867 
                 −2.160 
                 2.525 
                 0.867 
               
               
                 2.671 
                 −1.958 
                 0.867 
                 −2.159 
                 2.525 
                 0.867 
               
               
                 2.669 
                 −1.961 
                 0.867 
                 −2.156 
                 2.526 
                 0.867 
               
               
                 2.664 
                 −1.967 
                 0.867 
                 −2.151 
                 2.528 
                 0.867 
               
               
                 2.654 
                 −1.977 
                 0.867 
                 −2.141 
                 2.530 
                 0.867 
               
               
                 2.633 
                 −1.990 
                 0.867 
                 −2.124 
                 2.530 
                 0.867 
               
               
                 2.603 
                 −1.997 
                 0.867 
                 −2.095 
                 2.523 
                 0.867 
               
               
                 2.562 
                 −1.990 
                 0.867 
                 −2.059 
                 2.505 
                 0.867 
               
               
                 2.512 
                 −1.965 
                 0.867 
                 −2.016 
                 2.475 
                 0.867 
               
               
                 2.450 
                 −1.934 
                 0.867 
                 −1.966 
                 2.430 
                 0.867 
               
               
                 2.369 
                 −1.894 
                 0.867 
                 −1.906 
                 2.368 
                 0.867 
               
               
                 2.275 
                 −1.847 
                 0.867 
                 −1.838 
                 2.295 
                 0.867 
               
               
                 2.176 
                 −1.796 
                 0.867 
                 −1.767 
                 2.215 
                 0.867 
               
               
                 2.070 
                 −1.743 
                 0.867 
                 −1.688 
                 2.126 
                 0.867 
               
               
                 1.952 
                 −1.683 
                 0.867 
                 −1.600 
                 2.026 
                 0.867 
               
               
                 1.815 
                 −1.613 
                 0.867 
                 −1.503 
                 1.916 
                 0.867 
               
               
                 1.673 
                 −1.539 
                 0.867 
                 −1.402 
                 1.801 
                 0.867 
               
               
                 1.525 
                 −1.461 
                 0.867 
                 −1.295 
                 1.682 
                 0.867 
               
               
                 1.371 
                 −1.380 
                 0.867 
                 −1.184 
                 1.558 
                 0.867 
               
               
                 1.211 
                 −1.294 
                 0.867 
                 −1.067 
                 1.430 
                 0.867 
               
               
                 1.046 
                 −1.203 
                 0.867 
                 −0.944 
                 1.299 
                 0.867 
               
               
                 0.876 
                 −1.108 
                 0.867 
                 −0.816 
                 1.164 
                 0.867 
               
               
                 0.700 
                 −1.007 
                 0.867 
                 −0.681 
                 1.025 
                 0.867 
               
               
                 0.521 
                 −0.899 
                 0.867 
                 −0.540 
                 0.884 
                 0.867 
               
               
                 0.343 
                 −0.789 
                 0.867 
                 −0.398 
                 0.744 
                 0.867 
               
               
                 0.168 
                 −0.675 
                 0.867 
                 −0.253 
                 0.606 
                 0.867 
               
               
                 −0.004 
                 −0.556 
                 0.867 
                 −0.107 
                 0.469 
                 0.867 
               
               
                 −0.174 
                 −0.433 
                 0.867 
                 0.040 
                 0.334 
                 0.867 
               
               
                 −0.339 
                 −0.305 
                 0.867 
                 0.187 
                 0.199 
                 0.867 
               
               
                 −0.500 
                 −0.171 
                 0.867 
                 0.336 
                 0.066 
                 0.867 
               
               
                 −0.656 
                 −0.032 
                 0.867 
                 0.485 
                 −0.067 
                 0.867 
               
               
                 −0.809 
                 0.111 
                 0.867 
                 0.635 
                 −0.199 
                 0.867 
               
               
                 −0.957 
                 0.259 
                 0.867 
                 0.786 
                 −0.330 
                 0.867 
               
               
                 −1.100 
                 0.412 
                 0.867 
                 0.938 
                 −0.460 
                 0.867 
               
               
                 −1.238 
                 0.569 
                 0.867 
                 1.090 
                 −0.589 
                 0.867 
               
               
                 −1.366 
                 0.725 
                 0.867 
                 1.238 
                 −0.713 
                 0.867 
               
               
                 −1.484 
                 0.881 
                 0.867 
                 1.382 
                 −0.831 
                 0.867 
               
               
                 −1.593 
                 1.034 
                 0.867 
                 1.521 
                 −0.945 
                 0.867 
               
               
                 −1.693 
                 1.186 
                 0.867 
                 1.655 
                 −1.055 
                 0.867 
               
               
                 −1.783 
                 1.335 
                 0.867 
                 1.785 
                 −1.159 
                 0.867 
               
               
                 −1.865 
                 1.481 
                 0.867 
                 1.910 
                 −1.259 
                 0.867 
               
               
                 −1.938 
                 1.623 
                 0.867 
                 2.030 
                 −1.354 
                 0.867 
               
               
                 −2.003 
                 1.763 
                 0.867 
                 2.145 
                 −1.445 
                 0.867 
               
               
                 −2.057 
                 1.891 
                 0.867 
                 2.245 
                 −1.523 
                 0.867 
               
               
                 −2.102 
                 2.008 
                 0.867 
                 2.334 
                 −1.592 
                 0.867 
               
               
                 −2.138 
                 2.114 
                 0.867 
                 2.418 
                 −1.658 
                 0.867 
               
               
                 −2.168 
                 2.214 
                 0.867 
                 2.497 
                 −1.719 
                 0.867 
               
               
                 −2.189 
                 2.302 
                 0.867 
                 2.565 
                 −1.772 
                 0.867 
               
               
                 −2.200 
                 2.371 
                 0.867 
                 2.618 
                 −1.813 
                 0.867 
               
               
                 −2.202 
                 2.427 
                 0.867 
                 2.659 
                 −1.846 
                 0.867 
               
               
                 −2.197 
                 2.468 
                 0.867 
                 2.681 
                 −1.880 
                 0.867 
               
               
                 −2.186 
                 2.497 
                 0.867 
                 2.686 
                 −1.909 
                 0.867 
               
               
                 −2.176 
                 2.512 
                 0.867 
                 2.683 
                 −1.932 
                 0.867 
               
               
                 −2.168 
                 2.519 
                 0.867 
                 2.679 
                 −1.945 
                 0.867 
               
               
                 −2.163 
                 2.522 
                 0.867 
                 2.675 
                 −1.952 
                 0.867 
               
               
                 −2.161 
                 2.524 
                 0.867 
                 2.674 
                 −1.955 
                 0.867 
               
               
                 2.563 
                 −2.096 
                 2.064 
                 −1.970 
                 2.527 
                 2.064 
               
               
                 2.562 
                 −2.098 
                 2.064 
                 −1.969 
                 2.528 
                 2.064 
               
               
                 2.559 
                 −2.101 
                 2.064 
                 −1.967 
                 2.529 
                 2.064 
               
               
                 2.554 
                 −2.106 
                 2.064 
                 −1.962 
                 2.531 
                 2.064 
               
               
                 2.543 
                 −2.114 
                 2.064 
                 −1.952 
                 2.533 
                 2.064 
               
               
                 2.520 
                 −2.121 
                 2.064 
                 −1.935 
                 2.534 
                 2.064 
               
               
                 2.491 
                 −2.118 
                 2.064 
                 −1.907 
                 2.528 
                 2.064 
               
               
                 2.455 
                 −2.098 
                 2.064 
                 −1.871 
                 2.511 
                 2.064 
               
               
                 2.409 
                 −2.070 
                 2.064 
                 −1.828 
                 2.482 
                 2.064 
               
               
                 2.351 
                 −2.035 
                 2.064 
                 −1.777 
                 2.441 
                 2.064 
               
               
                 2.276 
                 −1.989 
                 2.064 
                 −1.716 
                 2.382 
                 2.064 
               
               
                 2.190 
                 −1.937 
                 2.064 
                 −1.648 
                 2.312 
                 2.064 
               
               
                 2.098 
                 −1.880 
                 2.064 
                 −1.576 
                 2.236 
                 2.064 
               
               
                 2.000 
                 −1.820 
                 2.064 
                 −1.496 
                 2.150 
                 2.064 
               
               
                 1.891 
                 −1.753 
                 2.064 
                 −1.409 
                 2.053 
                 2.064 
               
               
                 1.765 
                 −1.674 
                 2.064 
                 −1.313 
                 1.945 
                 2.064 
               
               
                 1.634 
                 −1.591 
                 2.064 
                 −1.214 
                 1.833 
                 2.064 
               
               
                 1.497 
                 −1.504 
                 2.064 
                 −1.110 
                 1.715 
                 2.064 
               
               
                 1.356 
                 −1.412 
                 2.064 
                 −1.003 
                 1.592 
                 2.064 
               
               
                 1.209 
                 −1.316 
                 2.064 
                 −0.891 
                 1.465 
                 2.064 
               
               
                 1.058 
                 −1.214 
                 2.064 
                 −0.774 
                 1.332 
                 2.064 
               
               
                 0.901 
                 −1.108 
                 2.064 
                 −0.652 
                 1.196 
                 2.064 
               
               
                 0.741 
                 −0.996 
                 2.064 
                 −0.526 
                 1.055 
                 2.064 
               
               
                 0.576 
                 −0.878 
                 2.064 
                 −0.394 
                 0.910 
                 2.064 
               
               
                 0.413 
                 −0.758 
                 2.064 
                 −0.261 
                 0.766 
                 2.064 
               
               
                 0.253 
                 −0.635 
                 2.064 
                 −0.127 
                 0.623 
                 2.064 
               
               
                 0.094 
                 −0.509 
                 2.064 
                 0.008 
                 0.482 
                 2.064 
               
               
                 −0.061 
                 −0.379 
                 2.064 
                 0.144 
                 0.340 
                 2.064 
               
               
                 −0.214 
                 −0.246 
                 2.064 
                 0.280 
                 0.199 
                 2.064 
               
               
                 −0.362 
                 −0.108 
                 2.064 
                 0.416 
                 0.058 
                 2.064 
               
               
                 −0.506 
                 0.034 
                 2.064 
                 0.553 
                 −0.082 
                 2.064 
               
               
                 −0.646 
                 0.180 
                 2.064 
                 0.690 
                 −0.222 
                 2.064 
               
               
                 −0.782 
                 0.330 
                 2.064 
                 0.828 
                 −0.361 
                 2.064 
               
               
                 −0.915 
                 0.483 
                 2.064 
                 0.966 
                 −0.500 
                 2.064 
               
               
                 −1.043 
                 0.640 
                 2.064 
                 1.105 
                 −0.639 
                 2.064 
               
               
                 −1.164 
                 0.794 
                 2.064 
                 1.239 
                 −0.772 
                 2.064 
               
               
                 −1.275 
                 0.946 
                 2.064 
                 1.370 
                 −0.900 
                 2.064 
               
               
                 −1.379 
                 1.096 
                 2.064 
                 1.496 
                 −1.023 
                 2.064 
               
               
                 −1.476 
                 1.243 
                 2.064 
                 1.619 
                 −1.140 
                 2.064 
               
               
                 −1.564 
                 1.387 
                 2.064 
                 1.737 
                 −1.253 
                 2.064 
               
               
                 −1.645 
                 1.527 
                 2.064 
                 1.850 
                 −1.361 
                 2.064 
               
               
                 −1.719 
                 1.663 
                 2.064 
                 1.959 
                 −1.464 
                 2.064 
               
               
                 −1.785 
                 1.796 
                 2.064 
                 2.064 
                 −1.563 
                 2.064 
               
               
                 −1.842 
                 1.919 
                 2.064 
                 2.155 
                 −1.647 
                 2.064 
               
               
                 −1.889 
                 2.030 
                 2.064 
                 2.236 
                 −1.723 
                 2.064 
               
               
                 −1.928 
                 2.131 
                 2.064 
                 2.313 
                 −1.793 
                 2.064 
               
               
                 −1.962 
                 2.227 
                 2.064 
                 2.385 
                 −1.860 
                 2.064 
               
               
                 −1.987 
                 2.311 
                 2.064 
                 2.448 
                 −1.917 
                 2.064 
               
               
                 −2.001 
                 2.377 
                 2.064 
                 2.497 
                 −1.961 
                 2.064 
               
               
                 −2.006 
                 2.430 
                 2.064 
                 2.535 
                 −1.996 
                 2.064 
               
               
                 −2.003 
                 2.471 
                 2.064 
                 2.563 
                 −2.023 
                 2.064 
               
               
                 −1.994 
                 2.500 
                 2.064 
                 2.574 
                 −2.050 
                 2.064 
               
               
                 −1.985 
                 2.514 
                 2.064 
                 2.573 
                 −2.073 
                 2.064 
               
               
                 −1.978 
                 2.522 
                 2.064 
                 2.569 
                 −2.085 
                 2.064 
               
               
                 −1.974 
                 2.525 
                 2.064 
                 2.566 
                 −2.092 
                 2.064 
               
               
                 −1.971 
                 2.527 
                 2.064 
                 2.564 
                 −2.095 
                 2.064 
               
               
                 2.124 
                 −2.860 
                 5.003 
                 −1.597 
                 2.294 
                 5.003 
               
               
                 2.123 
                 −2.861 
                 5.003 
                 −1.596 
                 2.294 
                 5.003 
               
               
                 2.120 
                 −2.863 
                 5.003 
                 −1.594 
                 2.295 
                 5.003 
               
               
                 2.113 
                 −2.867 
                 5.003 
                 −1.589 
                 2.297 
                 5.003 
               
               
                 2.101 
                 −2.870 
                 5.003 
                 −1.579 
                 2.298 
                 5.003 
               
               
                 2.078 
                 −2.866 
                 5.003 
                 −1.563 
                 2.297 
                 5.003 
               
               
                 2.056 
                 −2.847 
                 5.003 
                 −1.536 
                 2.287 
                 5.003 
               
               
                 2.027 
                 −2.820 
                 5.003 
                 −1.503 
                 2.267 
                 5.003 
               
               
                 1.989 
                 −2.785 
                 5.003 
                 −1.463 
                 2.235 
                 5.003 
               
               
                 1.941 
                 −2.740 
                 5.003 
                 −1.417 
                 2.190 
                 5.003 
               
               
                 1.878 
                 −2.683 
                 5.003 
                 −1.361 
                 2.128 
                 5.003 
               
               
                 1.806 
                 −2.616 
                 5.003 
                 −1.300 
                 2.055 
                 5.003 
               
               
                 1.730 
                 −2.545 
                 5.003 
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                 11.136 
               
               
                 −0.568 
                 0.096 
                 11.136 
                 1.141 
                 −1.626 
                 11.136 
               
               
                 −0.665 
                 0.263 
                 11.136 
                 1.249 
                 −1.782 
                 11.136 
               
               
                 −0.757 
                 0.425 
                 11.136 
                 1.354 
                 −1.933 
                 11.136 
               
               
                 −0.843 
                 0.583 
                 11.136 
                 1.456 
                 −2.078 
                 11.136 
               
               
                 −0.924 
                 0.736 
                 11.136 
                 1.555 
                 −2.218 
                 11.136 
               
               
                 −0.999 
                 0.885 
                 11.136 
                 1.651 
                 −2.351 
                 11.136 
               
               
                 −1.069 
                 1.029 
                 11.136 
                 1.743 
                 −2.479 
                 11.136 
               
               
                 −1.134 
                 1.168 
                 11.136 
                 1.833 
                 −2.601 
                 11.136 
               
               
                 −1.194 
                 1.302 
                 11.136 
                 1.918 
                 −2.717 
                 11.136 
               
               
                 −1.246 
                 1.424 
                 11.136 
                 1.993 
                 −2.818 
                 11.136 
               
               
                 −1.291 
                 1.536 
                 11.136 
                 2.060 
                 −2.907 
                 11.136 
               
               
                 −1.329 
                 1.635 
                 11.136 
                 2.124 
                 −2.991 
                 11.136 
               
               
                 −1.364 
                 1.729 
                 11.136 
                 2.183 
                 −3.069 
                 11.136 
               
               
                 −1.390 
                 1.812 
                 11.136 
                 2.235 
                 −3.137 
                 11.136 
               
               
                 −1.408 
                 1.876 
                 11.136 
                 2.275 
                 −3.189 
                 11.136 
               
               
                 −1.417 
                 1.928 
                 11.136 
                 2.308 
                 −3.231 
                 11.136 
               
               
                 −1.421 
                 1.968 
                 11.136 
                 2.332 
                 −3.262 
                 11.136 
               
               
                 −1.419 
                 1.998 
                 11.136 
                 2.350 
                 −3.285 
                 11.136 
               
               
                 −1.415 
                 2.014 
                 11.136 
                 2.355 
                 −3.307 
                 11.136 
               
               
                 −1.409 
                 2.023 
                 11.136 
                 2.351 
                 −3.320 
                 11.136 
               
               
                 −1.405 
                 2.027 
                 11.136 
                 2.347 
                 −3.326 
                 11.136 
               
               
                 −1.403 
                 2.028 
                 11.136 
                 2.344 
                 −3.329 
                 11.136 
               
               
                 2.219 
                 −3.370 
                 12.316 
                 −1.267 
                 2.093 
                 12.316 
               
               
                 2.218 
                 −3.372 
                 12.316 
                 −1.266 
                 2.093 
                 12.316 
               
               
                 2.215 
                 −3.374 
                 12.316 
                 −1.264 
                 2.094 
                 12.316 
               
               
                 2.208 
                 −3.377 
                 12.316 
                 −1.258 
                 2.094 
                 12.316 
               
               
                 2.195 
                 −3.379 
                 12.316 
                 −1.248 
                 2.092 
                 12.316 
               
               
                 2.174 
                 −3.371 
                 12.316 
                 −1.234 
                 2.084 
                 12.316 
               
               
                 2.153 
                 −3.350 
                 12.316 
                 −1.212 
                 2.065 
                 12.316 
               
               
                 2.125 
                 −3.321 
                 12.316 
                 −1.185 
                 2.036 
                 12.316 
               
               
                 2.089 
                 −3.283 
                 12.316 
                 −1.153 
                 1.995 
                 12.316 
               
               
                 2.043 
                 −3.236 
                 12.316 
                 −1.117 
                 1.941 
                 12.316 
               
               
                 1.984 
                 −3.174 
                 12.316 
                 −1.073 
                 1.869 
                 12.316 
               
               
                 1.915 
                 −3.102 
                 12.316 
                 −1.023 
                 1.785 
                 12.316 
               
               
                 1.843 
                 −3.026 
                 12.316 
                 −0.971 
                 1.694 
                 12.316 
               
               
                 1.766 
                 −2.944 
                 12.316 
                 −0.913 
                 1.592 
                 12.316 
               
               
                 1.681 
                 −2.852 
                 12.316 
                 −0.849 
                 1.479 
                 12.316 
               
               
                 1.583 
                 −2.745 
                 12.316 
                 −0.779 
                 1.354 
                 12.316 
               
               
                 1.481 
                 −2.632 
                 12.316 
                 −0.705 
                 1.224 
                 12.316 
               
               
                 1.376 
                 −2.514 
                 12.316 
                 −0.628 
                 1.088 
                 12.316 
               
               
                 1.267 
                 −2.390 
                 12.316 
                 −0.548 
                 0.946 
                 12.316 
               
               
                 1.155 
                 −2.260 
                 12.316 
                 −0.464 
                 0.799 
                 12.316 
               
               
                 1.040 
                 −2.124 
                 12.316 
                 −0.376 
                 0.647 
                 12.316 
               
               
                 0.923 
                 −1.982 
                 12.316 
                 −0.285 
                 0.489 
                 12.316 
               
               
                 0.803 
                 −1.833 
                 12.316 
                 −0.189 
                 0.326 
                 12.316 
               
               
                 0.681 
                 −1.677 
                 12.316 
                 −0.089 
                 0.158 
                 12.316 
               
               
                 0.562 
                 −1.519 
                 12.316 
                 0.012 
                 −0.009 
                 12.316 
               
               
                 0.445 
                 −1.359 
                 12.316 
                 0.114 
                 −0.176 
                 12.316 
               
               
                 0.332 
                 −1.197 
                 12.316 
                 0.217 
                 −0.342 
                 12.316 
               
               
                 0.221 
                 −1.033 
                 12.316 
                 0.321 
                 −0.507 
                 12.316 
               
               
                 0.113 
                 −0.867 
                 12.316 
                 0.426 
                 −0.672 
                 12.316 
               
               
                 0.008 
                 −0.700 
                 12.316 
                 0.532 
                 −0.836 
                 12.316 
               
               
                 −0.096 
                 −0.531 
                 12.316 
                 0.639 
                 −1.000 
                 12.316 
               
               
                 −0.198 
                 −0.361 
                 12.316 
                 0.745 
                 −1.164 
                 12.316 
               
               
                 −0.298 
                 −0.191 
                 12.316 
                 0.851 
                 −1.328 
                 12.316 
               
               
                 −0.395 
                 −0.018 
                 12.316 
                 0.957 
                 −1.492 
                 12.316 
               
               
                 −0.491 
                 0.155 
                 12.316 
                 1.063 
                 −1.656 
                 12.316 
               
               
                 −0.581 
                 0.324 
                 12.316 
                 1.167 
                 −1.814 
                 12.316 
               
               
                 −0.665 
                 0.488 
                 12.316 
                 1.267 
                 −1.966 
                 12.316 
               
               
                 −0.745 
                 0.647 
                 12.316 
                 1.364 
                 −2.113 
                 12.316 
               
               
                 −0.819 
                 0.802 
                 12.316 
                 1.459 
                 −2.253 
                 12.316 
               
               
                 −0.889 
                 0.951 
                 12.316 
                 1.551 
                 −2.388 
                 12.316 
               
               
                 −0.954 
                 1.096 
                 12.316 
                 1.640 
                 −2.516 
                 12.316 
               
               
                 −1.014 
                 1.235 
                 12.316 
                 1.725 
                 −2.639 
                 12.316 
               
               
                 −1.070 
                 1.369 
                 12.316 
                 1.808 
                 −2.756 
                 12.316 
               
               
                 −1.119 
                 1.491 
                 12.316 
                 1.880 
                 −2.857 
                 12.316 
               
               
                 −1.161 
                 1.602 
                 12.316 
                 1.945 
                 −2.946 
                 12.316 
               
               
                 −1.197 
                 1.702 
                 12.316 
                 2.006 
                 −3.031 
                 12.316 
               
               
                 −1.229 
                 1.795 
                 12.316 
                 2.064 
                 −3.109 
                 12.316 
               
               
                 −1.255 
                 1.877 
                 12.316 
                 2.115 
                 −3.177 
                 12.316 
               
               
                 −1.271 
                 1.941 
                 12.316 
                 2.154 
                 −3.229 
                 12.316 
               
               
                 −1.281 
                 1.993 
                 12.316 
                 2.185 
                 −3.271 
                 12.316 
               
               
                 −1.285 
                 2.032 
                 12.316 
                 2.209 
                 −3.302 
                 12.316 
               
               
                 −1.283 
                 2.062 
                 12.316 
                 2.226 
                 −3.326 
                 12.316 
               
               
                 −1.280 
                 2.078 
                 12.316 
                 2.231 
                 −3.348 
                 12.316 
               
               
                 −1.274 
                 2.087 
                 12.316 
                 2.227 
                 −3.360 
                 12.316 
               
               
                 −1.271 
                 2.091 
                 12.316 
                 2.223 
                 −3.367 
                 12.316 
               
               
                 −1.268 
                 2.092 
                 12.316 
                 2.220 
                 −3.369 
                 12.316 
               
               
                   
               
            
           
         
       
     
     In exemplary embodiments, TABLE VII below contains Cartesian coordinate data of an airfoil shape  150  of an airfoil  100  of a rotor blade  44 , which is disposed in the mid stage  62  of the compressor section  14 . Specifically, TABLE VII below contains Cartesian coordinate data of an airfoil shape  150  of an airfoil  100  of a rotor blade  44 , which is disposed in the eleventh stage S11 of the compressor section  14 . 
     
       
         
           
               
               
               
             
               
                   
                 TABLE VII 
               
             
            
               
                   
                   
               
               
                   
                 SUCTION SIDE 
                 PRESSURE SIDE 
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 X 
                 Y 
                 Z 
                 X 
                 Y 
                 Z 
               
               
                   
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 1.872 
                 −1.602 
                 0.778 
                 −1.362 
                 1.778 
                 0.778 
               
               
                   
                 1.872 
                 −1.603 
                 0.778 
                 −1.361 
                 1.779 
                 0.778 
               
               
                   
                 1.870 
                 −1.605 
                 0.778 
                 −1.360 
                 1.780 
                 0.778 
               
               
                   
                 1.866 
                 −1.609 
                 0.778 
                 −1.356 
                 1.781 
                 0.778 
               
               
                   
                 1.858 
                 −1.615 
                 0.778 
                 −1.349 
                 1.783 
                 0.778 
               
               
                   
                 1.842 
                 −1.620 
                 0.778 
                 −1.337 
                 1.783 
                 0.778 
               
               
                   
                 1.820 
                 −1.617 
                 0.778 
                 −1.316 
                 1.778 
                 0.778 
               
               
                   
                 1.794 
                 −1.603 
                 0.778 
                 −1.290 
                 1.766 
                 0.778 
               
               
                   
                 1.759 
                 −1.584 
                 0.778 
                 −1.258 
                 1.747 
                 0.778 
               
               
                   
                 1.716 
                 −1.561 
                 0.778 
                 −1.220 
                 1.720 
                 0.778 
               
               
                   
                 1.660 
                 −1.530 
                 0.778 
                 −1.172 
                 1.681 
                 0.778 
               
               
                   
                 1.595 
                 −1.494 
                 0.778 
                 −1.120 
                 1.633 
                 0.778 
               
               
                   
                 1.527 
                 −1.455 
                 0.778 
                 −1.066 
                 1.580 
                 0.778 
               
               
                   
                 1.454 
                 −1.414 
                 0.778 
                 −1.007 
                 1.519 
                 0.778 
               
               
                   
                 1.373 
                 −1.367 
                 0.778 
                 −0.941 
                 1.452 
                 0.778 
               
               
                   
                 1.279 
                 −1.312 
                 0.778 
                 −0.869 
                 1.376 
                 0.778 
               
               
                   
                 1.182 
                 −1.254 
                 0.778 
                 −0.796 
                 1.296 
                 0.778 
               
               
                   
                 1.081 
                 −1.192 
                 0.778 
                 −0.720 
                 1.213 
                 0.778 
               
               
                   
                 0.977 
                 −1.127 
                 0.778 
                 −0.640 
                 1.125 
                 0.778 
               
               
                   
                 0.869 
                 −1.058 
                 0.778 
                 −0.558 
                 1.034 
                 0.778 
               
               
                   
                 0.758 
                 −0.985 
                 0.778 
                 −0.474 
                 0.939 
                 0.778 
               
               
                   
                 0.643 
                 −0.908 
                 0.778 
                 −0.387 
                 0.840 
                 0.778 
               
               
                   
                 0.526 
                 −0.827 
                 0.778 
                 −0.296 
                 0.737 
                 0.778 
               
               
                   
                 0.406 
                 −0.741 
                 0.778 
                 −0.203 
                 0.630 
                 0.778 
               
               
                   
                 0.287 
                 −0.653 
                 0.778 
                 −0.111 
                 0.523 
                 0.778 
               
               
                   
                 0.169 
                 −0.564 
                 0.778 
                 −0.018 
                 0.415 
                 0.778 
               
               
                   
                 0.054 
                 −0.472 
                 0.778 
                 0.073 
                 0.308 
                 0.778 
               
               
                   
                 −0.060 
                 −0.377 
                 0.778 
                 0.165 
                 0.200 
                 0.778 
               
               
                   
                 −0.171 
                 −0.280 
                 0.778 
                 0.257 
                 0.092 
                 0.778 
               
               
                   
                 −0.281 
                 −0.181 
                 0.778 
                 0.350 
                 −0.015 
                 0.778 
               
               
                   
                 −0.387 
                 −0.078 
                 0.778 
                 0.443 
                 −0.122 
                 0.778 
               
               
                   
                 −0.490 
                 0.028 
                 0.778 
                 0.537 
                 −0.228 
                 0.778 
               
               
                   
                 −0.589 
                 0.137 
                 0.778 
                 0.631 
                 −0.333 
                 0.778 
               
               
                   
                 −0.685 
                 0.250 
                 0.778 
                 0.727 
                 −0.437 
                 0.778 
               
               
                   
                 −0.777 
                 0.365 
                 0.778 
                 0.824 
                 −0.541 
                 0.778 
               
               
                   
                 −0.862 
                 0.480 
                 0.778 
                 0.918 
                 −0.640 
                 0.778 
               
               
                   
                 −0.940 
                 0.594 
                 0.778 
                 1.010 
                 −0.735 
                 0.778 
               
               
                   
                 −1.012 
                 0.706 
                 0.778 
                 1.100 
                 −0.825 
                 0.778 
               
               
                   
                 −1.077 
                 0.816 
                 0.778 
                 1.187 
                 −0.912 
                 0.778 
               
               
                   
                 −1.136 
                 0.924 
                 0.778 
                 1.271 
                 −0.994 
                 0.778 
               
               
                   
                 −1.189 
                 1.030 
                 0.778 
                 1.353 
                 −1.073 
                 0.778 
               
               
                   
                 −1.237 
                 1.132 
                 0.778 
                 1.431 
                 −1.148 
                 0.778 
               
               
                   
                 −1.277 
                 1.233 
                 0.778 
                 1.507 
                 −1.219 
                 0.778 
               
               
                   
                 −1.311 
                 1.325 
                 0.778 
                 1.573 
                 −1.280 
                 0.778 
               
               
                   
                 −1.340 
                 1.409 
                 0.778 
                 1.632 
                 −1.334 
                 0.778 
               
               
                   
                 −1.362 
                 1.485 
                 0.778 
                 1.688 
                 −1.385 
                 0.778 
               
               
                   
                 −1.379 
                 1.557 
                 0.778 
                 1.740 
                 −1.432 
                 0.778 
               
               
                   
                 −1.388 
                 1.620 
                 0.778 
                 1.786 
                 −1.474 
                 0.778 
               
               
                   
                 −1.392 
                 1.669 
                 0.778 
                 1.821 
                 −1.505 
                 0.778 
               
               
                   
                 −1.391 
                 1.709 
                 0.778 
                 1.849 
                 −1.530 
                 0.778 
               
               
                   
                 −1.387 
                 1.738 
                 0.778 
                 1.870 
                 −1.549 
                 0.778 
               
               
                   
                 −1.380 
                 1.759 
                 0.778 
                 1.879 
                 −1.568 
                 0.778 
               
               
                   
                 −1.373 
                 1.769 
                 0.778 
                 1.880 
                 −1.585 
                 0.778 
               
               
                   
                 −1.368 
                 1.775 
                 0.778 
                 1.877 
                 −1.594 
                 0.778 
               
               
                   
                 −1.365 
                 1.777 
                 0.778 
                 1.875 
                 −1.599 
                 0.778 
               
               
                   
                 −1.363 
                 1.778 
                 0.778 
                 1.873 
                 −1.601 
                 0.778 
               
               
                   
                 1.774 
                 −1.651 
                 1.303 
                 −1.314 
                 1.804 
                 1.303 
               
               
                   
                 1.773 
                 −1.652 
                 1.303 
                 −1.313 
                 1.805 
                 1.303 
               
               
                   
                 1.772 
                 −1.654 
                 1.303 
                 −1.311 
                 1.806 
                 1.303 
               
               
                   
                 1.767 
                 −1.657 
                 1.303 
                 −1.308 
                 1.807 
                 1.303 
               
               
                   
                 1.759 
                 −1.662 
                 1.303 
                 −1.301 
                 1.809 
                 1.303 
               
               
                   
                 1.743 
                 −1.665 
                 1.303 
                 −1.289 
                 1.809 
                 1.303 
               
               
                   
                 1.722 
                 −1.659 
                 1.303 
                 −1.268 
                 1.804 
                 1.303 
               
               
                   
                 1.698 
                 −1.643 
                 1.303 
                 −1.243 
                 1.793 
                 1.303 
               
               
                   
                 1.665 
                 −1.622 
                 1.303 
                 −1.211 
                 1.773 
                 1.303 
               
               
                   
                 1.625 
                 −1.595 
                 1.303 
                 −1.174 
                 1.745 
                 1.303 
               
               
                   
                 1.572 
                 −1.561 
                 1.303 
                 −1.128 
                 1.705 
                 1.303 
               
               
                   
                 1.512 
                 −1.520 
                 1.303 
                 −1.077 
                 1.657 
                 1.303 
               
               
                   
                 1.448 
                 −1.477 
                 1.303 
                 −1.024 
                 1.604 
                 1.303 
               
               
                   
                 1.379 
                 −1.432 
                 1.303 
                 −0.966 
                 1.543 
                 1.303 
               
               
                   
                 1.303 
                 −1.380 
                 1.303 
                 −0.902 
                 1.475 
                 1.303 
               
               
                   
                 1.216 
                 −1.320 
                 1.303 
                 −0.832 
                 1.400 
                 1.303 
               
               
                   
                 1.124 
                 −1.257 
                 1.303 
                 −0.760 
                 1.320 
                 1.303 
               
               
                   
                 1.029 
                 −1.190 
                 1.303 
                 −0.685 
                 1.236 
                 1.303 
               
               
                   
                 0.930 
                 −1.120 
                 1.303 
                 −0.608 
                 1.148 
                 1.303 
               
               
                   
                 0.828 
                 −1.046 
                 1.303 
                 −0.529 
                 1.056 
                 1.303 
               
               
                   
                 0.723 
                 −0.969 
                 1.303 
                 −0.446 
                 0.960 
                 1.303 
               
               
                   
                 0.615 
                 −0.887 
                 1.303 
                 −0.361 
                 0.861 
                 1.303 
               
               
                   
                 0.504 
                 −0.802 
                 1.303 
                 −0.274 
                 0.757 
                 1.303 
               
               
                   
                 0.389 
                 −0.712 
                 1.303 
                 −0.184 
                 0.650 
                 1.303 
               
               
                   
                 0.277 
                 −0.621 
                 1.303 
                 −0.094 
                 0.542 
                 1.303 
               
               
                   
                 0.165 
                 −0.528 
                 1.303 
                 −0.005 
                 0.434 
                 1.303 
               
               
                   
                 0.055 
                 −0.433 
                 1.303 
                 0.084 
                 0.325 
                 1.303 
               
               
                   
                 −0.053 
                 −0.337 
                 1.303 
                 0.172 
                 0.216 
                 1.303 
               
               
                   
                 −0.159 
                 −0.238 
                 1.303 
                 0.261 
                 0.107 
                 1.303 
               
               
                   
                 −0.263 
                 −0.136 
                 1.303 
                 0.349 
                 −0.002 
                 1.303 
               
               
                   
                 −0.364 
                 −0.032 
                 1.303 
                 0.438 
                 −0.110 
                 1.303 
               
               
                   
                 −0.462 
                 0.075 
                 1.303 
                 0.527 
                 −0.218 
                 1.303 
               
               
                   
                 −0.557 
                 0.185 
                 1.303 
                 0.617 
                 −0.326 
                 1.303 
               
               
                   
                 −0.648 
                 0.298 
                 1.303 
                 0.708 
                 −0.433 
                 1.303 
               
               
                   
                 −0.736 
                 0.413 
                 1.303 
                 0.799 
                 −0.539 
                 1.303 
               
               
                   
                 −0.817 
                 0.527 
                 1.303 
                 0.888 
                 −0.642 
                 1.303 
               
               
                   
                 −0.892 
                 0.640 
                 1.303 
                 0.975 
                 −0.740 
                 1.303 
               
               
                   
                 −0.961 
                 0.751 
                 1.303 
                 1.059 
                 −0.834 
                 1.303 
               
               
                   
                 −1.024 
                 0.860 
                 1.303 
                 1.140 
                 −0.924 
                 1.303 
               
               
                   
                 −1.081 
                 0.967 
                 1.303 
                 1.219 
                 −1.011 
                 1.303 
               
               
                   
                 −1.133 
                 1.071 
                 1.303 
                 1.295 
                 −1.093 
                 1.303 
               
               
                   
                 −1.180 
                 1.172 
                 1.303 
                 1.368 
                 −1.172 
                 1.303 
               
               
                   
                 −1.221 
                 1.270 
                 1.303 
                 1.439 
                 −1.247 
                 1.303 
               
               
                   
                 −1.254 
                 1.361 
                 1.303 
                 1.500 
                 −1.312 
                 1.303 
               
               
                   
                 −1.283 
                 1.443 
                 1.303 
                 1.554 
                 −1.369 
                 1.303 
               
               
                   
                 −1.306 
                 1.517 
                 1.303 
                 1.606 
                 −1.423 
                 1.303 
               
               
                   
                 −1.324 
                 1.587 
                 1.303 
                 1.654 
                 −1.474 
                 1.303 
               
               
                   
                 −1.336 
                 1.649 
                 1.303 
                 1.696 
                 −1.518 
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                 −1.196 
                 1.677 
                 7.547 
               
               
                   
                 1.417 
                 −2.163 
                 7.547 
                 −1.171 
                 1.647 
                 7.547 
               
               
                   
                 1.378 
                 −2.132 
                 7.547 
                 −1.143 
                 1.608 
                 7.547 
               
               
                   
                 1.328 
                 −2.092 
                 7.547 
                 −1.109 
                 1.555 
                 7.547 
               
               
                   
                 1.271 
                 −2.044 
                 7.547 
                 −1.071 
                 1.493 
                 7.547 
               
               
                   
                 1.211 
                 −1.993 
                 7.547 
                 −1.031 
                 1.426 
                 7.547 
               
               
                   
                 1.147 
                 −1.939 
                 7.547 
                 −0.987 
                 1.352 
                 7.547 
               
               
                   
                 1.075 
                 −1.878 
                 7.547 
                 −0.937 
                 1.269 
                 7.547 
               
               
                   
                 0.994 
                 −1.806 
                 7.547 
                 −0.882 
                 1.177 
                 7.547 
               
               
                   
                 0.909 
                 −1.730 
                 7.547 
                 −0.824 
                 1.082 
                 7.547 
               
               
                   
                 0.821 
                 −1.650 
                 7.547 
                 −0.764 
                 0.983 
                 7.547 
               
               
                   
                 0.730 
                 −1.566 
                 7.547 
                 −0.701 
                 0.879 
                 7.547 
               
               
                   
                 0.637 
                 −1.477 
                 7.547 
                 −0.635 
                 0.772 
                 7.547 
               
               
                   
                 0.542 
                 −1.384 
                 7.547 
                 −0.565 
                 0.662 
                 7.547 
               
               
                   
                 0.445 
                 −1.286 
                 7.547 
                 −0.492 
                 0.547 
                 7.547 
               
               
                   
                 0.345 
                 −1.182 
                 7.547 
                 −0.416 
                 0.429 
                 7.547 
               
               
                   
                 0.245 
                 −1.073 
                 7.547 
                 −0.336 
                 0.308 
                 7.547 
               
               
                   
                 0.147 
                 −0.962 
                 7.547 
                 −0.256 
                 0.187 
                 7.547 
               
               
                   
                 0.051 
                 −0.848 
                 7.547 
                 −0.174 
                 0.067 
                 7.547 
               
               
                   
                 −0.041 
                 −0.732 
                 7.547 
                 −0.092 
                 −0.053 
                 7.547 
               
               
                   
                 −0.129 
                 −0.613 
                 7.547 
                 −0.008 
                 −0.172 
                 7.547 
               
               
                   
                 −0.216 
                 −0.492 
                 7.547 
                 0.076 
                 −0.290 
                 7.547 
               
               
                   
                 −0.300 
                 −0.370 
                 7.547 
                 0.161 
                 −0.407 
                 7.547 
               
               
                   
                 −0.382 
                 −0.247 
                 7.547 
                 0.247 
                 −0.525 
                 7.547 
               
               
                   
                 −0.462 
                 −0.122 
                 7.547 
                 0.332 
                 −0.642 
                 7.547 
               
               
                   
                 −0.540 
                 0.005 
                 7.547 
                 0.417 
                 −0.760 
                 7.547 
               
               
                   
                 −0.616 
                 0.132 
                 7.547 
                 0.502 
                 −0.878 
                 7.547 
               
               
                   
                 −0.689 
                 0.261 
                 7.547 
                 0.587 
                 −0.996 
                 7.547 
               
               
                   
                 −0.758 
                 0.387 
                 7.547 
                 0.670 
                 −1.109 
                 7.547 
               
               
                   
                 −0.822 
                 0.510 
                 7.547 
                 0.750 
                 −1.218 
                 7.547 
               
               
                   
                 −0.882 
                 0.629 
                 7.547 
                 0.829 
                 −1.323 
                 7.547 
               
               
                   
                 −0.938 
                 0.745 
                 7.547 
                 0.905 
                 −1.423 
                 7.547 
               
               
                   
                 −0.990 
                 0.857 
                 7.547 
                 0.979 
                 −1.519 
                 7.547 
               
               
                   
                 −1.038 
                 0.965 
                 7.547 
                 1.051 
                 −1.610 
                 7.547 
               
               
                   
                 −1.082 
                 1.070 
                 7.547 
                 1.120 
                 −1.697 
                 7.547 
               
               
                   
                 −1.123 
                 1.171 
                 7.547 
                 1.187 
                 −1.780 
                 7.547 
               
               
                   
                 −1.158 
                 1.263 
                 7.547 
                 1.246 
                 −1.851 
                 7.547 
               
               
                   
                 −1.189 
                 1.347 
                 7.547 
                 1.298 
                 −1.915 
                 7.547 
               
               
                   
                 −1.215 
                 1.421 
                 7.547 
                 1.348 
                 −1.974 
                 7.547 
               
               
                   
                 −1.239 
                 1.492 
                 7.547 
                 1.395 
                 −2.030 
                 7.547 
               
               
                   
                 −1.257 
                 1.554 
                 7.547 
                 1.436 
                 −2.077 
                 7.547 
               
               
                   
                 −1.268 
                 1.602 
                 7.547 
                 1.467 
                 −2.114 
                 7.547 
               
               
                   
                 −1.274 
                 1.641 
                 7.547 
                 1.493 
                 −2.144 
                 7.547 
               
               
                   
                 −1.275 
                 1.670 
                 7.547 
                 1.512 
                 −2.165 
                 7.547 
               
               
                   
                 −1.273 
                 1.693 
                 7.547 
                 1.526 
                 −2.182 
                 7.547 
               
               
                   
                 −1.269 
                 1.704 
                 7.547 
                 1.530 
                 −2.198 
                 7.547 
               
               
                   
                 −1.265 
                 1.711 
                 7.547 
                 1.527 
                 −2.208 
                 7.547 
               
               
                   
                 −1.262 
                 1.713 
                 7.547 
                 1.524 
                 −2.213 
                 7.547 
               
               
                   
                 −1.260 
                 1.714 
                 7.547 
                 1.523 
                 −2.215 
                 7.547 
               
               
                   
                   
               
            
           
         
       
     
     In exemplary embodiments, TABLE VIII below contains Cartesian coordinate data of an airfoil shape  150  of an airfoil  100  of a rotor blade  44 , which is disposed in the late stage  64  of the compressor section  14 . Specifically, TABLE VIII below contains Cartesian coordinate data of an airfoil shape  150  of an airfoil  100  of a rotor blade  44 , which is disposed in the twelfth stage S12 of the compressor section  14 . 
     
       
         
           
               
               
               
             
               
                   
                 TABLE VIII 
               
             
            
               
                   
                   
               
               
                   
                 SUCTION SIDE 
                 PRESSURE SIDE 
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 X 
                 Y 
                 Z 
                 X 
                 Y 
                 Z 
               
               
                   
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 2.552 
                 −2.325 
                 0.975 
                 −2.149 
                 2.733 
                 0.975 
               
               
                   
                 2.551 
                 −2.326 
                 0.975 
                 −2.148 
                 2.734 
                 0.975 
               
               
                   
                 2.549 
                 −2.329 
                 0.975 
                 −2.145 
                 2.735 
                 0.975 
               
               
                   
                 2.545 
                 −2.333 
                 0.975 
                 −2.140 
                 2.737 
                 0.975 
               
               
                   
                 2.536 
                 −2.339 
                 0.975 
                 −2.129 
                 2.740 
                 0.975 
               
               
                   
                 2.519 
                 −2.346 
                 0.975 
                 −2.112 
                 2.740 
                 0.975 
               
               
                   
                 2.487 
                 −2.345 
                 0.975 
                 −2.081 
                 2.733 
                 0.975 
               
               
                   
                 2.450 
                 −2.323 
                 0.975 
                 −2.044 
                 2.716 
                 0.975 
               
               
                   
                 2.402 
                 −2.292 
                 0.975 
                 −1.997 
                 2.685 
                 0.975 
               
               
                   
                 2.342 
                 −2.253 
                 0.975 
                 −1.943 
                 2.642 
                 0.975 
               
               
                   
                 2.264 
                 −2.203 
                 0.975 
                 −1.876 
                 2.580 
                 0.975 
               
               
                   
                 2.173 
                 −2.144 
                 0.975 
                 −1.803 
                 2.505 
                 0.975 
               
               
                   
                 2.078 
                 −2.081 
                 0.975 
                 −1.727 
                 2.424 
                 0.975 
               
               
                   
                 1.970 
                 −2.010 
                 0.975 
                 −1.642 
                 2.332 
                 0.975 
               
               
                   
                 1.851 
                 −1.931 
                 0.975 
                 −1.547 
                 2.230 
                 0.975 
               
               
                   
                 1.720 
                 −1.842 
                 0.975 
                 −1.443 
                 2.118 
                 0.975 
               
               
                   
                 1.584 
                 −1.750 
                 0.975 
                 −1.335 
                 2.000 
                 0.975 
               
               
                   
                 1.442 
                 −1.652 
                 0.975 
                 −1.222 
                 1.876 
                 0.975 
               
               
                   
                 1.296 
                 −1.549 
                 0.975 
                 −1.105 
                 1.748 
                 0.975 
               
               
                   
                 1.144 
                 −1.441 
                 0.975 
                 −0.983 
                 1.614 
                 0.975 
               
               
                   
                 0.987 
                 −1.327 
                 0.975 
                 −0.857 
                 1.474 
                 0.975 
               
               
                   
                 0.826 
                 −1.208 
                 0.975 
                 −0.727 
                 1.329 
                 0.975 
               
               
                   
                 0.661 
                 −1.082 
                 0.975 
                 −0.592 
                 1.179 
                 0.975 
               
               
                   
                 0.491 
                 −0.950 
                 0.975 
                 −0.453 
                 1.023 
                 0.975 
               
               
                   
                 0.323 
                 −0.815 
                 0.975 
                 −0.314 
                 0.867 
                 0.975 
               
               
                   
                 0.158 
                 −0.678 
                 0.975 
                 −0.175 
                 0.711 
                 0.975 
               
               
                   
                 −0.005 
                 −0.538 
                 0.975 
                 −0.037 
                 0.554 
                 0.975 
               
               
                   
                 −0.166 
                 −0.395 
                 0.975 
                 0.100 
                 0.397 
                 0.975 
               
               
                   
                 −0.323 
                 −0.248 
                 0.975 
                 0.237 
                 0.239 
                 0.975 
               
               
                   
                 −0.477 
                 −0.098 
                 0.975 
                 0.373 
                 0.081 
                 0.975 
               
               
                   
                 −0.626 
                 0.056 
                 0.975 
                 0.509 
                 −0.078 
                 0.975 
               
               
                   
                 −0.772 
                 0.214 
                 0.975 
                 0.646 
                 −0.235 
                 0.975 
               
               
                   
                 −0.913 
                 0.377 
                 0.975 
                 0.784 
                 −0.393 
                 0.975 
               
               
                   
                 −1.050 
                 0.542 
                 0.975 
                 0.922 
                 −0.549 
                 0.975 
               
               
                   
                 −1.183 
                 0.711 
                 0.975 
                 1.061 
                 −0.705 
                 0.975 
               
               
                   
                 −1.308 
                 0.877 
                 0.975 
                 1.196 
                 −0.855 
                 0.975 
               
               
                   
                 −1.424 
                 1.041 
                 0.975 
                 1.328 
                 −0.999 
                 0.975 
               
               
                   
                 −1.531 
                 1.202 
                 0.975 
                 1.456 
                 −1.137 
                 0.975 
               
               
                   
                 −1.630 
                 1.359 
                 0.975 
                 1.580 
                 −1.269 
                 0.975 
               
               
                   
                 −1.722 
                 1.513 
                 0.975 
                 1.700 
                 −1.395 
                 0.975 
               
               
                   
                 −1.805 
                 1.664 
                 0.975 
                 1.815 
                 −1.515 
                 0.975 
               
               
                   
                 −1.882 
                 1.810 
                 0.975 
                 1.927 
                 −1.630 
                 0.975 
               
               
                   
                 −1.951 
                 1.952 
                 0.975 
                 2.034 
                 −1.739 
                 0.975 
               
               
                   
                 −2.010 
                 2.082 
                 0.975 
                 2.132 
                 −1.838 
                 0.975 
               
               
                   
                 −2.060 
                 2.201 
                 0.975 
                 2.221 
                 −1.927 
                 0.975 
               
               
                   
                 −2.100 
                 2.308 
                 0.975 
                 2.300 
                 −2.005 
                 0.975 
               
               
                   
                 −2.134 
                 2.411 
                 0.975 
                 2.374 
                 −2.078 
                 0.975 
               
               
                   
                 −2.158 
                 2.500 
                 0.975 
                 2.439 
                 −2.142 
                 0.975 
               
               
                   
                 −2.173 
                 2.571 
                 0.975 
                 2.489 
                 −2.191 
                 0.975 
               
               
                   
                 −2.179 
                 2.628 
                 0.975 
                 2.529 
                 −2.229 
                 0.975 
               
               
                   
                 −2.178 
                 2.671 
                 0.975 
                 2.557 
                 −2.260 
                 0.975 
               
               
                   
                 −2.172 
                 2.702 
                 0.975 
                 2.565 
                 −2.290 
                 0.975 
               
               
                   
                 −2.164 
                 2.718 
                 0.975 
                 2.562 
                 −2.307 
                 0.975 
               
               
                   
                 −2.157 
                 2.727 
                 0.975 
                 2.557 
                 −2.317 
                 0.975 
               
               
                   
                 −2.152 
                 2.731 
                 0.975 
                 2.554 
                 −2.322 
                 0.975 
               
               
                   
                 −2.150 
                 2.732 
                 0.975 
                 2.553 
                 −2.324 
                 0.975 
               
               
                   
                 2.413 
                 −2.443 
                 2.087 
                 −1.923 
                 2.847 
                 2.087 
               
               
                   
                 2.412 
                 −2.444 
                 2.087 
                 −1.922 
                 2.848 
                 2.087 
               
               
                   
                 2.410 
                 −2.446 
                 2.087 
                 −1.919 
                 2.849 
                 2.087 
               
               
                   
                 2.405 
                 −2.450 
                 2.087 
                 −1.914 
                 2.851 
                 2.087 
               
               
                   
                 2.396 
                 −2.456 
                 2.087 
                 −1.903 
                 2.853 
                 2.087 
               
               
                   
                 2.379 
                 −2.460 
                 2.087 
                 −1.886 
                 2.852 
                 2.087 
               
               
                   
                 2.348 
                 −2.455 
                 2.087 
                 −1.856 
                 2.844 
                 2.087 
               
               
                   
                 2.314 
                 −2.429 
                 2.087 
                 −1.820 
                 2.824 
                 2.087 
               
               
                   
                 2.270 
                 −2.394 
                 2.087 
                 −1.775 
                 2.792 
                 2.087 
               
               
                   
                 2.215 
                 −2.350 
                 2.087 
                 −1.723 
                 2.747 
                 2.087 
               
               
                   
                 2.143 
                 −2.293 
                 2.087 
                 −1.659 
                 2.684 
                 2.087 
               
               
                   
                 2.061 
                 −2.227 
                 2.087 
                 −1.588 
                 2.609 
                 2.087 
               
               
                   
                 1.973 
                 −2.156 
                 2.087 
                 −1.513 
                 2.528 
                 2.087 
               
               
                   
                 1.875 
                 −2.076 
                 2.087 
                 −1.429 
                 2.436 
                 2.087 
               
               
                   
                 1.765 
                 −1.987 
                 2.087 
                 −1.337 
                 2.333 
                 2.087 
               
               
                   
                 1.646 
                 −1.889 
                 2.087 
                 −1.237 
                 2.219 
                 2.087 
               
               
                   
                 1.521 
                 −1.785 
                 2.087 
                 −1.132 
                 2.100 
                 2.087 
               
               
                   
                 1.391 
                 −1.676 
                 2.087 
                 −1.024 
                 1.974 
                 2.087 
               
               
                   
                 1.257 
                 −1.563 
                 2.087 
                 −0.912 
                 1.843 
                 2.087 
               
               
                   
                 1.118 
                 −1.444 
                 2.087 
                 −0.797 
                 1.706 
                 2.087 
               
               
                   
                 0.974 
                 −1.319 
                 2.087 
                 −0.678 
                 1.563 
                 2.087 
               
               
                   
                 0.825 
                 −1.189 
                 2.087 
                 −0.555 
                 1.414 
                 2.087 
               
               
                   
                 0.673 
                 −1.053 
                 2.087 
                 −0.428 
                 1.259 
                 2.087 
               
               
                   
                 0.517 
                 −0.910 
                 2.087 
                 −0.298 
                 1.098 
                 2.087 
               
               
                   
                 0.362 
                 −0.766 
                 2.087 
                 −0.168 
                 0.937 
                 2.087 
               
               
                   
                 0.209 
                 −0.620 
                 2.087 
                 −0.038 
                 0.775 
                 2.087 
               
               
                   
                 0.059 
                 −0.472 
                 2.087 
                 0.090 
                 0.613 
                 2.087 
               
               
                   
                 −0.089 
                 −0.321 
                 2.087 
                 0.217 
                 0.449 
                 2.087 
               
               
                   
                 −0.234 
                 −0.167 
                 2.087 
                 0.342 
                 0.285 
                 2.087 
               
               
                   
                 −0.376 
                 −0.010 
                 2.087 
                 0.467 
                 0.119 
                 2.087 
               
               
                   
                 −0.513 
                 0.151 
                 2.087 
                 0.591 
                 −0.046 
                 2.087 
               
               
                   
                 −0.646 
                 0.315 
                 2.087 
                 0.715 
                 −0.212 
                 2.087 
               
               
                   
                 −0.776 
                 0.482 
                 2.087 
                 0.839 
                 −0.377 
                 2.087 
               
               
                   
                 −0.901 
                 0.652 
                 2.087 
                 0.964 
                 −0.543 
                 2.087 
               
               
                   
                 −1.023 
                 0.825 
                 2.087 
                 1.089 
                 −0.708 
                 2.087 
               
               
                   
                 −1.137 
                 0.995 
                 2.087 
                 1.210 
                 −0.867 
                 2.087 
               
               
                   
                 −1.243 
                 1.161 
                 2.087 
                 1.328 
                 −1.020 
                 2.087 
               
               
                   
                 −1.342 
                 1.324 
                 2.087 
                 1.442 
                 −1.167 
                 2.087 
               
               
                   
                 −1.433 
                 1.483 
                 2.087 
                 1.553 
                 −1.308 
                 2.087 
               
               
                   
                 −1.517 
                 1.637 
                 2.087 
                 1.660 
                 −1.444 
                 2.087 
               
               
                   
                 −1.595 
                 1.788 
                 2.087 
                 1.763 
                 −1.573 
                 2.087 
               
               
                   
                 −1.665 
                 1.934 
                 2.087 
                 1.862 
                 −1.697 
                 2.087 
               
               
                   
                 −1.729 
                 2.075 
                 2.087 
                 1.958 
                 −1.815 
                 2.087 
               
               
                   
                 −1.784 
                 2.205 
                 2.087 
                 2.045 
                 −1.922 
                 2.087 
               
               
                   
                 −1.831 
                 2.323 
                 2.087 
                 2.124 
                 −2.018 
                 2.087 
               
               
                   
                 −1.870 
                 2.429 
                 2.087 
                 2.194 
                 −2.103 
                 2.087 
               
               
                   
                 −1.902 
                 2.529 
                 2.087 
                 2.260 
                 −2.183 
                 2.087 
               
               
                   
                 −1.927 
                 2.618 
                 2.087 
                 2.317 
                 −2.252 
                 2.087 
               
               
                   
                 −1.941 
                 2.686 
                 2.087 
                 2.362 
                 −2.305 
                 2.087 
               
               
                   
                 −1.948 
                 2.742 
                 2.087 
                 2.397 
                 −2.347 
                 2.087 
               
               
                   
                 −1.949 
                 2.785 
                 2.087 
                 2.423 
                 −2.380 
                 2.087 
               
               
                   
                 −1.944 
                 2.816 
                 2.087 
                 2.428 
                 −2.410 
                 2.087 
               
               
                   
                 −1.937 
                 2.832 
                 2.087 
                 2.424 
                 −2.426 
                 2.087 
               
               
                   
                 −1.930 
                 2.841 
                 2.087 
                 2.419 
                 −2.436 
                 2.087 
               
               
                   
                 −1.926 
                 2.845 
                 2.087 
                 2.416 
                 −2.440 
                 2.087 
               
               
                   
                 −1.924 
                 2.846 
                 2.087 
                 2.414 
                 −2.442 
                 2.087 
               
               
                   
                 2.262 
                 −2.675 
                 3.654 
                 −1.686 
                 2.811 
                 3.654 
               
               
                   
                 2.261 
                 −2.676 
                 3.654 
                 −1.685 
                 2.811 
                 3.654 
               
               
                   
                 2.259 
                 −2.677 
                 3.654 
                 −1.682 
                 2.812 
                 3.654 
               
               
                   
                 2.255 
                 −2.680 
                 3.654 
                 −1.677 
                 2.814 
                 3.654 
               
               
                   
                 2.245 
                 −2.685 
                 3.654 
                 −1.666 
                 2.814 
                 3.654 
               
               
                   
                 2.228 
                 −2.688 
                 3.654 
                 −1.650 
                 2.811 
                 3.654 
               
               
                   
                 2.199 
                 −2.678 
                 3.654 
                 −1.622 
                 2.799 
                 3.654 
               
               
                   
                 2.168 
                 −2.651 
                 3.654 
                 −1.588 
                 2.776 
                 3.654 
               
               
                   
                 2.126 
                 −2.613 
                 3.654 
                 −1.547 
                 2.740 
                 3.654 
               
               
                   
                 2.075 
                 −2.566 
                 3.654 
                 −1.500 
                 2.690 
                 3.654 
               
               
                   
                 2.008 
                 −2.506 
                 3.654 
                 −1.443 
                 2.623 
                 3.654 
               
               
                   
                 1.932 
                 −2.435 
                 3.654 
                 −1.378 
                 2.544 
                 3.654 
               
               
                   
                 1.850 
                 −2.360 
                 3.654 
                 −1.311 
                 2.459 
                 3.654 
               
               
                   
                 1.759 
                 −2.275 
                 3.654 
                 −1.235 
                 2.362 
                 3.654 
               
               
                   
                 1.657 
                 −2.180 
                 3.654 
                 −1.151 
                 2.255 
                 3.654 
               
               
                   
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                 0.042 
                 −0.620 
                 7.922 
               
               
                   
                 −0.001 
                 −1.379 
                 7.922 
                 0.156 
                 −0.785 
                 7.922 
               
               
                   
                 −0.120 
                 −1.214 
                 7.922 
                 0.270 
                 −0.951 
                 7.922 
               
               
                   
                 −0.236 
                 −1.047 
                 7.922 
                 0.384 
                 −1.117 
                 7.922 
               
               
                   
                 −0.350 
                 −0.878 
                 7.922 
                 0.497 
                 −1.283 
                 7.922 
               
               
                   
                 −0.461 
                 −0.707 
                 7.922 
                 0.609 
                 −1.449 
                 7.922 
               
               
                   
                 −0.570 
                 −0.535 
                 7.922 
                 0.721 
                 −1.616 
                 7.922 
               
               
                   
                 −0.676 
                 −0.361 
                 7.922 
                 0.833 
                 −1.783 
                 7.922 
               
               
                   
                 −0.779 
                 −0.186 
                 7.922 
                 0.945 
                 −1.950 
                 7.922 
               
               
                   
                 −0.877 
                 −0.015 
                 7.922 
                 1.054 
                 −2.110 
                 7.922 
               
               
                   
                 −0.968 
                 0.151 
                 7.922 
                 1.160 
                 −2.265 
                 7.922 
               
               
                   
                 −1.054 
                 0.313 
                 7.922 
                 1.262 
                 −2.414 
                 7.922 
               
               
                   
                 −1.134 
                 0.470 
                 7.922 
                 1.362 
                 −2.557 
                 7.922 
               
               
                   
                 −1.209 
                 0.622 
                 7.922 
                 1.458 
                 −2.695 
                 7.922 
               
               
                   
                 −1.279 
                 0.769 
                 7.922 
                 1.550 
                 −2.826 
                 7.922 
               
               
                   
                 −1.344 
                 0.911 
                 7.922 
                 1.640 
                 −2.951 
                 7.922 
               
               
                   
                 −1.404 
                 1.048 
                 7.922 
                 1.726 
                 −3.071 
                 7.922 
               
               
                   
                 −1.456 
                 1.173 
                 7.922 
                 1.804 
                 −3.179 
                 7.922 
               
               
                   
                 −1.502 
                 1.286 
                 7.922 
                 1.875 
                 −3.277 
                 7.922 
               
               
                   
                 −1.541 
                 1.387 
                 7.922 
                 1.939 
                 −3.363 
                 7.922 
               
               
                   
                 −1.575 
                 1.483 
                 7.922 
                 1.999 
                 −3.444 
                 7.922 
               
               
                   
                 −1.603 
                 1.567 
                 7.922 
                 2.051 
                 −3.514 
                 7.922 
               
               
                   
                 −1.622 
                 1.632 
                 7.922 
                 2.091 
                 −3.567 
                 7.922 
               
               
                   
                 −1.634 
                 1.685 
                 7.922 
                 2.123 
                 −3.610 
                 7.922 
               
               
                   
                 −1.641 
                 1.725 
                 7.922 
                 2.147 
                 −3.642 
                 7.922 
               
               
                   
                 −1.642 
                 1.755 
                 7.922 
                 2.161 
                 −3.668 
                 7.922 
               
               
                   
                 −1.640 
                 1.772 
                 7.922 
                 2.159 
                 −3.685 
                 7.922 
               
               
                   
                 −1.637 
                 1.782 
                 7.922 
                 2.154 
                 −3.694 
                 7.922 
               
               
                   
                 −1.633 
                 1.786 
                 7.922 
                 2.151 
                 −3.699 
                 7.922 
               
               
                   
                 −1.631 
                 1.788 
                 7.922 
                 2.149 
                 −3.701 
                 7.922 
               
               
                   
                 2.094 
                 −3.789 
                 8.883 
                 −1.619 
                 1.640 
                 8.883 
               
               
                   
                 2.093 
                 −3.790 
                 8.883 
                 −1.618 
                 1.640 
                 8.883 
               
               
                   
                 2.091 
                 −3.791 
                 8.883 
                 −1.615 
                 1.641 
                 8.883 
               
               
                   
                 2.086 
                 −3.794 
                 8.883 
                 −1.610 
                 1.641 
                 8.883 
               
               
                   
                 2.076 
                 −3.797 
                 8.883 
                 −1.600 
                 1.639 
                 8.883 
               
               
                   
                 2.059 
                 −3.796 
                 8.883 
                 −1.585 
                 1.632 
                 8.883 
               
               
                   
                 2.036 
                 −3.778 
                 8.883 
                 −1.562 
                 1.613 
                 8.883 
               
               
                   
                 2.007 
                 −3.750 
                 8.883 
                 −1.535 
                 1.584 
                 8.883 
               
               
                   
                 1.969 
                 −3.712 
                 8.883 
                 −1.503 
                 1.543 
                 8.883 
               
               
                   
                 1.922 
                 −3.665 
                 8.883 
                 −1.465 
                 1.488 
                 8.883 
               
               
                   
                 1.861 
                 −3.603 
                 8.883 
                 −1.418 
                 1.417 
                 8.883 
               
               
                   
                 1.790 
                 −3.532 
                 8.883 
                 −1.363 
                 1.334 
                 8.883 
               
               
                   
                 1.715 
                 −3.456 
                 8.883 
                 −1.306 
                 1.245 
                 8.883 
               
               
                   
                 1.631 
                 −3.370 
                 8.883 
                 −1.241 
                 1.145 
                 8.883 
               
               
                   
                 1.538 
                 −3.274 
                 8.883 
                 −1.169 
                 1.034 
                 8.883 
               
               
                   
                 1.437 
                 −3.168 
                 8.883 
                 −1.091 
                 0.912 
                 8.883 
               
               
                   
                 1.331 
                 −3.056 
                 8.883 
                 −1.009 
                 0.784 
                 8.883 
               
               
                   
                 1.221 
                 −2.939 
                 8.883 
                 −0.923 
                 0.650 
                 8.883 
               
               
                   
                 1.108 
                 −2.816 
                 8.883 
                 −0.834 
                 0.511 
                 8.883 
               
               
                   
                 0.991 
                 −2.688 
                 8.883 
                 −0.741 
                 0.367 
                 8.883 
               
               
                   
                 0.870 
                 −2.553 
                 8.883 
                 −0.644 
                 0.217 
                 8.883 
               
               
                   
                 0.747 
                 −2.413 
                 8.883 
                 −0.543 
                 0.062 
                 8.883 
               
               
                   
                 0.620 
                 −2.266 
                 8.883 
                 −0.438 
                 −0.098 
                 8.883 
               
               
                   
                 0.491 
                 −2.113 
                 8.883 
                 −0.329 
                 −0.264 
                 8.883 
               
               
                   
                 0.364 
                 −1.957 
                 8.883 
                 −0.219 
                 −0.429 
                 8.883 
               
               
                   
                 0.239 
                 −1.800 
                 8.883 
                 −0.108 
                 −0.593 
                 8.883 
               
               
                   
                 0.117 
                 −1.641 
                 8.883 
                 0.003 
                 −0.757 
                 8.883 
               
               
                   
                 −0.002 
                 −1.480 
                 8.883 
                 0.114 
                 −0.921 
                 8.883 
               
               
                   
                 −0.117 
                 −1.316 
                 8.883 
                 0.227 
                 −1.084 
                 8.883 
               
               
                   
                 −0.230 
                 −1.151 
                 8.883 
                 0.339 
                 −1.248 
                 8.883 
               
               
                   
                 −0.341 
                 −0.983 
                 8.883 
                 0.451 
                 −1.411 
                 8.883 
               
               
                   
                 −0.450 
                 −0.815 
                 8.883 
                 0.562 
                 −1.575 
                 8.883 
               
               
                   
                 −0.556 
                 −0.645 
                 8.883 
                 0.673 
                 −1.740 
                 8.883 
               
               
                   
                 −0.661 
                 −0.474 
                 8.883 
                 0.784 
                 −1.904 
                 8.883 
               
               
                   
                 −0.762 
                 −0.301 
                 8.883 
                 0.896 
                 −2.068 
                 8.883 
               
               
                   
                 −0.858 
                 −0.133 
                 8.883 
                 1.004 
                 −2.226 
                 8.883 
               
               
                   
                 −0.949 
                 0.031 
                 8.883 
                 1.109 
                 −2.378 
                 8.883 
               
               
                   
                 −1.034 
                 0.190 
                 8.883 
                 1.210 
                 −2.525 
                 8.883 
               
               
                   
                 −1.114 
                 0.345 
                 8.883 
                 1.309 
                 −2.666 
                 8.883 
               
               
                   
                 −1.189 
                 0.494 
                 8.883 
                 1.404 
                 −2.800 
                 8.883 
               
               
                   
                 −1.258 
                 0.639 
                 8.883 
                 1.497 
                 −2.929 
                 8.883 
               
               
                   
                 −1.323 
                 0.778 
                 8.883 
                 1.586 
                 −3.053 
                 8.883 
               
               
                   
                 −1.384 
                 0.912 
                 8.883 
                 1.671 
                 −3.170 
                 8.883 
               
               
                   
                 −1.437 
                 1.035 
                 8.883 
                 1.750 
                 −3.277 
                 8.883 
               
               
                   
                 −1.483 
                 1.146 
                 8.883 
                 1.820 
                 −3.372 
                 8.883 
               
               
                   
                 −1.523 
                 1.245 
                 8.883 
                 1.884 
                 −3.457 
                 8.883 
               
               
                   
                 −1.558 
                 1.339 
                 8.883 
                 1.943 
                 −3.536 
                 8.883 
               
               
                   
                 −1.586 
                 1.421 
                 8.883 
                 1.995 
                 −3.605 
                 8.883 
               
               
                   
                 −1.606 
                 1.485 
                 8.883 
                 2.035 
                 −3.657 
                 8.883 
               
               
                   
                 −1.619 
                 1.537 
                 8.883 
                 2.067 
                 −3.699 
                 8.883 
               
               
                   
                 −1.627 
                 1.576 
                 8.883 
                 2.091 
                 −3.730 
                 8.883 
               
               
                   
                 −1.630 
                 1.606 
                 8.883 
                 2.106 
                 −3.756 
                 8.883 
               
               
                   
                 −1.629 
                 1.623 
                 8.883 
                 2.104 
                 −3.772 
                 8.883 
               
               
                   
                 −1.626 
                 1.633 
                 8.883 
                 2.100 
                 −3.782 
                 8.883 
               
               
                   
                 −1.622 
                 1.637 
                 8.883 
                 2.097 
                 −3.786 
                 8.883 
               
               
                   
                 −1.620 
                 1.639 
                 8.883 
                 2.095 
                 −3.788 
                 8.883 
               
               
                   
                   
               
            
           
         
       
     
     In exemplary embodiments, TABLE IX below contains Cartesian coordinate data of an airfoil shape  150  of an airfoil  100  of a rotor blade  44 , which is disposed in the late stage  64  of the compressor section  14 . Specifically, TABLE IX below contains Cartesian coordinate data of an airfoil shape  150  of an airfoil  100  of a rotor blade  44 , which is disposed in the thirteenth stage S13 of the compressor section  14 . 
     
       
         
           
               
               
               
             
               
                   
                 TABLE IX 
               
             
            
               
                   
                   
               
               
                   
                 SUCTION SIDE 
                 PRESSURE SIDE 
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 X 
                 Y 
                 Z 
                 X 
                 Y 
                 Z 
               
               
                   
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 1.632 
                 −1.607 
                 0.624 
                 −1.289 
                 1.792 
                 0.624 
               
               
                   
                 1.631 
                 −1.608 
                 0.624 
                 −1.288 
                 1.793 
                 0.624 
               
               
                   
                 1.630 
                 −1.610 
                 0.624 
                 −1.286 
                 1.793 
                 0.624 
               
               
                   
                 1.625 
                 −1.613 
                 0.624 
                 −1.283 
                 1.795 
                 0.624 
               
               
                   
                 1.617 
                 −1.616 
                 0.624 
                 −1.276 
                 1.796 
                 0.624 
               
               
                   
                 1.601 
                 −1.615 
                 0.624 
                 −1.265 
                 1.795 
                 0.624 
               
               
                   
                 1.583 
                 −1.603 
                 0.624 
                 −1.245 
                 1.789 
                 0.624 
               
               
                   
                 1.561 
                 −1.587 
                 0.624 
                 −1.222 
                 1.775 
                 0.624 
               
               
                   
                 1.531 
                 −1.565 
                 0.624 
                 −1.194 
                 1.752 
                 0.624 
               
               
                   
                 1.493 
                 −1.538 
                 0.624 
                 −1.162 
                 1.721 
                 0.624 
               
               
                   
                 1.444 
                 −1.503 
                 0.624 
                 −1.123 
                 1.677 
                 0.624 
               
               
                   
                 1.388 
                 −1.462 
                 0.624 
                 −1.080 
                 1.624 
                 0.624 
               
               
                   
                 1.328 
                 −1.419 
                 0.624 
                 −1.035 
                 1.568 
                 0.624 
               
               
                   
                 1.265 
                 −1.372 
                 0.624 
                 −0.985 
                 1.504 
                 0.624 
               
               
                   
                 1.194 
                 −1.320 
                 0.624 
                 −0.930 
                 1.432 
                 0.624 
               
               
                   
                 1.112 
                 −1.259 
                 0.624 
                 −0.869 
                 1.353 
                 0.624 
               
               
                   
                 1.027 
                 −1.195 
                 0.624 
                 −0.806 
                 1.271 
                 0.624 
               
               
                   
                 0.939 
                 −1.127 
                 0.624 
                 −0.741 
                 1.185 
                 0.624 
               
               
                   
                 0.847 
                 −1.057 
                 0.624 
                 −0.672 
                 1.095 
                 0.624 
               
               
                   
                 0.752 
                 −0.982 
                 0.624 
                 −0.601 
                 1.002 
                 0.624 
               
               
                   
                 0.655 
                 −0.904 
                 0.624 
                 −0.526 
                 0.905 
                 0.624 
               
               
                   
                 0.554 
                 −0.822 
                 0.624 
                 −0.449 
                 0.806 
                 0.624 
               
               
                   
                 0.452 
                 −0.735 
                 0.624 
                 −0.368 
                 0.703 
                 0.624 
               
               
                   
                 0.346 
                 −0.645 
                 0.624 
                 −0.284 
                 0.597 
                 0.624 
               
               
                   
                 0.242 
                 −0.552 
                 0.624 
                 −0.199 
                 0.491 
                 0.624 
               
               
                   
                 0.140 
                 −0.458 
                 0.624 
                 −0.114 
                 0.386 
                 0.624 
               
               
                   
                 0.039 
                 −0.363 
                 0.624 
                 −0.028 
                 0.281 
                 0.624 
               
               
                   
                 −0.060 
                 −0.265 
                 0.624 
                 0.057 
                 0.176 
                 0.624 
               
               
                   
                 −0.157 
                 −0.166 
                 0.624 
                 0.143 
                 0.071 
                 0.624 
               
               
                   
                 −0.252 
                 −0.065 
                 0.624 
                 0.229 
                 −0.034 
                 0.624 
               
               
                   
                 −0.345 
                 0.039 
                 0.624 
                 0.316 
                 −0.138 
                 0.624 
               
               
                   
                 −0.435 
                 0.145 
                 0.624 
                 0.403 
                 −0.241 
                 0.624 
               
               
                   
                 −0.522 
                 0.253 
                 0.624 
                 0.491 
                 −0.345 
                 0.624 
               
               
                   
                 −0.607 
                 0.363 
                 0.624 
                 0.579 
                 −0.447 
                 0.624 
               
               
                   
                 −0.689 
                 0.475 
                 0.624 
                 0.668 
                 −0.549 
                 0.624 
               
               
                   
                 −0.767 
                 0.585 
                 0.624 
                 0.755 
                 −0.647 
                 0.624 
               
               
                   
                 −0.839 
                 0.693 
                 0.624 
                 0.840 
                 −0.741 
                 0.624 
               
               
                   
                 −0.906 
                 0.798 
                 0.624 
                 0.922 
                 −0.831 
                 0.624 
               
               
                   
                 −0.968 
                 0.902 
                 0.624 
                 1.001 
                 −0.917 
                 0.624 
               
               
                   
                 −1.025 
                 1.002 
                 0.624 
                 1.078 
                 −1.000 
                 0.624 
               
               
                   
                 −1.077 
                 1.100 
                 0.624 
                 1.153 
                 −1.078 
                 0.624 
               
               
                   
                 −1.125 
                 1.196 
                 0.624 
                 1.224 
                 −1.153 
                 0.624 
               
               
                   
                 −1.168 
                 1.288 
                 0.624 
                 1.293 
                 −1.225 
                 0.624 
               
               
                   
                 −1.205 
                 1.373 
                 0.624 
                 1.353 
                 −1.287 
                 0.624 
               
               
                   
                 −1.236 
                 1.450 
                 0.624 
                 1.406 
                 −1.342 
                 0.624 
               
               
                   
                 −1.262 
                 1.520 
                 0.624 
                 1.457 
                 −1.393 
                 0.624 
               
               
                   
                 −1.284 
                 1.586 
                 0.624 
                 1.504 
                 −1.442 
                 0.624 
               
               
                   
                 −1.301 
                 1.643 
                 0.624 
                 1.545 
                 −1.484 
                 0.624 
               
               
                   
                 −1.310 
                 1.689 
                 0.624 
                 1.577 
                 −1.516 
                 0.624 
               
               
                   
                 −1.313 
                 1.726 
                 0.624 
                 1.603 
                 −1.541 
                 0.624 
               
               
                   
                 −1.311 
                 1.753 
                 0.624 
                 1.622 
                 −1.561 
                 0.624 
               
               
                   
                 −1.305 
                 1.773 
                 0.624 
                 1.635 
                 −1.576 
                 0.624 
               
               
                   
                 −1.299 
                 1.783 
                 0.624 
                 1.639 
                 −1.591 
                 0.624 
               
               
                   
                 −1.294 
                 1.789 
                 0.624 
                 1.637 
                 −1.600 
                 0.624 
               
               
                   
                 −1.291 
                 1.791 
                 0.624 
                 1.634 
                 −1.604 
                 0.624 
               
               
                   
                 −1.290 
                 1.792 
                 0.624 
                 1.633 
                 −1.606 
                 0.624 
               
               
                   
                 1.503 
                 −1.637 
                 1.219 
                 −1.244 
                 1.804 
                 1.219 
               
               
                   
                 1.502 
                 −1.638 
                 1.219 
                 −1.243 
                 1.804 
                 1.219 
               
               
                   
                 1.500 
                 −1.639 
                 1.219 
                 −1.241 
                 1.805 
                 1.219 
               
               
                   
                 1.495 
                 −1.642 
                 1.219 
                 −1.238 
                 1.806 
                 1.219 
               
               
                   
                 1.487 
                 −1.645 
                 1.219 
                 −1.231 
                 1.807 
                 1.219 
               
               
                   
                 1.471 
                 −1.642 
                 1.219 
                 −1.220 
                 1.807 
                 1.219 
               
               
                   
                 1.455 
                 −1.629 
                 1.219 
                 −1.201 
                 1.801 
                 1.219 
               
               
                   
                 1.434 
                 −1.612 
                 1.219 
                 −1.178 
                 1.787 
                 1.219 
               
               
                   
                 1.407 
                 −1.589 
                 1.219 
                 −1.150 
                 1.765 
                 1.219 
               
               
                   
                 1.372 
                 −1.560 
                 1.219 
                 −1.119 
                 1.734 
                 1.219 
               
               
                   
                 1.327 
                 −1.522 
                 1.219 
                 −1.082 
                 1.690 
                 1.219 
               
               
                   
                 1.275 
                 −1.478 
                 1.219 
                 −1.041 
                 1.637 
                 1.219 
               
               
                   
                 1.220 
                 −1.432 
                 1.219 
                 −0.998 
                 1.581 
                 1.219 
               
               
                   
                 1.161 
                 −1.382 
                 1.219 
                 −0.949 
                 1.517 
                 1.219 
               
               
                   
                 1.096 
                 −1.326 
                 1.219 
                 −0.896 
                 1.446 
                 1.219 
               
               
                   
                 1.020 
                 −1.261 
                 1.219 
                 −0.838 
                 1.368 
                 1.219 
               
               
                   
                 0.942 
                 −1.193 
                 1.219 
                 −0.778 
                 1.286 
                 1.219 
               
               
                   
                 0.860 
                 −1.122 
                 1.219 
                 −0.715 
                 1.200 
                 1.219 
               
               
                   
                 0.776 
                 −1.047 
                 1.219 
                 −0.649 
                 1.111 
                 1.219 
               
               
                   
                 0.688 
                 −0.969 
                 1.219 
                 −0.581 
                 1.018 
                 1.219 
               
               
                   
                 0.598 
                 −0.886 
                 1.219 
                 −0.510 
                 0.922 
                 1.219 
               
               
                   
                 0.505 
                 −0.801 
                 1.219 
                 −0.436 
                 0.822 
                 1.219 
               
               
                   
                 0.409 
                 −0.711 
                 1.219 
                 −0.358 
                 0.719 
                 1.219 
               
               
                   
                 0.312 
                 −0.616 
                 1.219 
                 −0.278 
                 0.613 
                 1.219 
               
               
                   
                 0.215 
                 −0.521 
                 1.219 
                 −0.198 
                 0.507 
                 1.219 
               
               
                   
                 0.120 
                 −0.424 
                 1.219 
                 −0.117 
                 0.402 
                 1.219 
               
               
                   
                 0.027 
                 −0.326 
                 1.219 
                 −0.035 
                 0.296 
                 1.219 
               
               
                   
                 −0.066 
                 −0.227 
                 1.219 
                 0.046 
                 0.191 
                 1.219 
               
               
                   
                 −0.156 
                 −0.126 
                 1.219 
                 0.127 
                 0.085 
                 1.219 
               
               
                   
                 −0.244 
                 −0.023 
                 1.219 
                 0.208 
                 −0.020 
                 1.219 
               
               
                   
                 −0.330 
                 0.082 
                 1.219 
                 0.289 
                 −0.126 
                 1.219 
               
               
                   
                 −0.414 
                 0.189 
                 1.219 
                 0.371 
                 −0.231 
                 1.219 
               
               
                   
                 −0.496 
                 0.297 
                 1.219 
                 0.452 
                 −0.336 
                 1.219 
               
               
                   
                 −0.575 
                 0.407 
                 1.219 
                 0.535 
                 −0.440 
                 1.219 
               
               
                   
                 −0.653 
                 0.518 
                 1.219 
                 0.618 
                 −0.544 
                 1.219 
               
               
                   
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                 −1.047 
                 1.336 
                 3.552 
                 1.087 
                 −1.884 
                 3.552 
               
               
                   
                 −1.044 
                 1.353 
                 3.552 
                 1.096 
                 −1.899 
                 3.552 
               
               
                   
                 −1.041 
                 1.363 
                 3.552 
                 1.095 
                 −1.913 
                 3.552 
               
               
                   
                 −1.037 
                 1.368 
                 3.552 
                 1.092 
                 −1.920 
                 3.552 
               
               
                   
                 −1.034 
                 1.370 
                 3.552 
                 1.089 
                 −1.924 
                 3.552 
               
               
                   
                 −1.033 
                 1.370 
                 3.552 
                 1.087 
                 −1.925 
                 3.552 
               
               
                   
                 1.011 
                 −2.070 
                 4.644 
                 −1.028 
                 1.059 
                 4.644 
               
               
                   
                 1.010 
                 −2.070 
                 4.644 
                 −1.028 
                 1.059 
                 4.644 
               
               
                   
                 1.009 
                 −2.072 
                 4.644 
                 −1.026 
                 1.059 
                 4.644 
               
               
                   
                 1.005 
                 −2.074 
                 4.644 
                 −1.023 
                 1.060 
                 4.644 
               
               
                   
                 0.997 
                 −2.076 
                 4.644 
                 −1.017 
                 1.059 
                 4.644 
               
               
                   
                 0.984 
                 −2.073 
                 4.644 
                 −1.009 
                 1.055 
                 4.644 
               
               
                   
                 0.972 
                 −2.062 
                 4.644 
                 −0.995 
                 1.045 
                 4.644 
               
               
                   
                 0.956 
                 −2.045 
                 4.644 
                 −0.979 
                 1.029 
                 4.644 
               
               
                   
                 0.935 
                 −2.023 
                 4.644 
                 −0.960 
                 1.006 
                 4.644 
               
               
                   
                 0.909 
                 −1.996 
                 4.644 
                 −0.938 
                 0.976 
                 4.644 
               
               
                   
                 0.875 
                 −1.960 
                 4.644 
                 −0.911 
                 0.935 
                 4.644 
               
               
                   
                 0.836 
                 −1.918 
                 4.644 
                 −0.882 
                 0.886 
                 4.644 
               
               
                   
                 0.795 
                 −1.873 
                 4.644 
                 −0.852 
                 0.834 
                 4.644 
               
               
                   
                 0.751 
                 −1.826 
                 4.644 
                 −0.819 
                 0.775 
                 4.644 
               
               
                   
                 0.702 
                 −1.773 
                 4.644 
                 −0.782 
                 0.710 
                 4.644 
               
               
                   
                 0.646 
                 −1.711 
                 4.644 
                 −0.741 
                 0.638 
                 4.644 
               
               
                   
                 0.588 
                 −1.646 
                 4.644 
                 −0.698 
                 0.563 
                 4.644 
               
               
                   
                 0.527 
                 −1.577 
                 4.644 
                 −0.654 
                 0.485 
                 4.644 
               
               
                   
                 0.465 
                 −1.506 
                 4.644 
                 −0.607 
                 0.403 
                 4.644 
               
               
                   
                 0.401 
                 −1.431 
                 4.644 
                 −0.558 
                 0.319 
                 4.644 
               
               
                   
                 0.335 
                 −1.352 
                 4.644 
                 −0.507 
                 0.231 
                 4.644 
               
               
                   
                 0.267 
                 −1.270 
                 4.644 
                 −0.453 
                 0.141 
                 4.644 
               
               
                   
                 0.198 
                 −1.184 
                 4.644 
                 −0.397 
                 0.047 
                 4.644 
               
               
                   
                 0.127 
                 −1.095 
                 4.644 
                 −0.338 
                 −0.049 
                 4.644 
               
               
                   
                 0.058 
                 −1.004 
                 4.644 
                 −0.279 
                 −0.145 
                 4.644 
               
               
                   
                 −0.009 
                 −0.912 
                 4.644 
                 −0.219 
                 −0.240 
                 4.644 
               
               
                   
                 −0.075 
                 −0.819 
                 4.644 
                 −0.159 
                 −0.335 
                 4.644 
               
               
                   
                 −0.140 
                 −0.725 
                 4.644 
                 −0.098 
                 −0.430 
                 4.644 
               
               
                   
                 −0.202 
                 −0.630 
                 4.644 
                 −0.036 
                 −0.524 
                 4.644 
               
               
                   
                 −0.264 
                 −0.534 
                 4.644 
                 0.026 
                 −0.618 
                 4.644 
               
               
                   
                 −0.325 
                 −0.438 
                 4.644 
                 0.089 
                 −0.712 
                 4.644 
               
               
                   
                 −0.385 
                 −0.341 
                 4.644 
                 0.152 
                 −0.806 
                 4.644 
               
               
                   
                 −0.444 
                 −0.243 
                 4.644 
                 0.214 
                 −0.899 
                 4.644 
               
               
                   
                 −0.501 
                 −0.145 
                 4.644 
                 0.277 
                 −0.993 
                 4.644 
               
               
                   
                 −0.558 
                 −0.046 
                 4.644 
                 0.339 
                 −1.087 
                 4.644 
               
               
                   
                 −0.611 
                 0.051 
                 4.644 
                 0.400 
                 −1.177 
                 4.644 
               
               
                   
                 −0.661 
                 0.144 
                 4.644 
                 0.459 
                 −1.264 
                 4.644 
               
               
                   
                 −0.709 
                 0.235 
                 4.644 
                 0.517 
                 −1.348 
                 4.644 
               
               
                   
                 −0.754 
                 0.323 
                 4.644 
                 0.572 
                 −1.428 
                 4.644 
               
               
                   
                 −0.796 
                 0.408 
                 4.644 
                 0.626 
                 −1.505 
                 4.644 
               
               
                   
                 −0.835 
                 0.491 
                 4.644 
                 0.678 
                 −1.579 
                 4.644 
               
               
                   
                 −0.873 
                 0.570 
                 4.644 
                 0.728 
                 −1.649 
                 4.644 
               
               
                   
                 −0.907 
                 0.646 
                 4.644 
                 0.776 
                 −1.716 
                 4.644 
               
               
                   
                 −0.938 
                 0.715 
                 4.644 
                 0.818 
                 −1.774 
                 4.644 
               
               
                   
                 −0.964 
                 0.778 
                 4.644 
                 0.856 
                 −1.825 
                 4.644 
               
               
                   
                 −0.987 
                 0.834 
                 4.644 
                 0.892 
                 −1.874 
                 4.644 
               
               
                   
                 −1.008 
                 0.888 
                 4.644 
                 0.926 
                 −1.919 
                 4.644 
               
               
                   
                 −1.023 
                 0.935 
                 4.644 
                 0.955 
                 −1.958 
                 4.644 
               
               
                   
                 −1.032 
                 0.972 
                 4.644 
                 0.977 
                 −1.988 
                 4.644 
               
               
                   
                 −1.038 
                 1.001 
                 4.644 
                 0.996 
                 −2.012 
                 4.644 
               
               
                   
                 −1.040 
                 1.024 
                 4.644 
                 1.009 
                 −2.030 
                 4.644 
               
               
                   
                 −1.039 
                 1.041 
                 4.644 
                 1.018 
                 −2.044 
                 4.644 
               
               
                   
                 −1.036 
                 1.050 
                 4.644 
                 1.019 
                 −2.057 
                 4.644 
               
               
                   
                 −1.033 
                 1.055 
                 4.644 
                 1.016 
                 −2.064 
                 4.644 
               
               
                   
                 −1.030 
                 1.057 
                 4.644 
                 1.013 
                 −2.068 
                 4.644 
               
               
                   
                 −1.029 
                 1.058 
                 4.644 
                 1.012 
                 −2.069 
                 4.644 
               
               
                   
                 0.968 
                 −2.152 
                 5.155 
                 −1.015 
                 0.915 
                 5.155 
               
               
                   
                 0.967 
                 −2.152 
                 5.155 
                 −1.014 
                 0.915 
                 5.155 
               
               
                   
                 0.966 
                 −2.153 
                 5.155 
                 −1.013 
                 0.915 
                 5.155 
               
               
                   
                 0.962 
                 −2.156 
                 5.155 
                 −1.010 
                 0.915 
                 5.155 
               
               
                   
                 0.955 
                 −2.157 
                 5.155 
                 −1.004 
                 0.914 
                 5.155 
               
               
                   
                 0.942 
                 −2.155 
                 5.155 
                 −0.996 
                 0.910 
                 5.155 
               
               
                   
                 0.930 
                 −2.144 
                 5.155 
                 −0.983 
                 0.900 
                 5.155 
               
               
                   
                 0.914 
                 −2.128 
                 5.155 
                 −0.968 
                 0.884 
                 5.155 
               
               
                   
                 0.893 
                 −2.106 
                 5.155 
                 −0.950 
                 0.861 
                 5.155 
               
               
                   
                 0.868 
                 −2.080 
                 5.155 
                 −0.929 
                 0.831 
                 5.155 
               
               
                   
                 0.834 
                 −2.045 
                 5.155 
                 −0.903 
                 0.790 
                 5.155 
               
               
                   
                 0.796 
                 −2.004 
                 5.155 
                 −0.875 
                 0.743 
                 5.155 
               
               
                   
                 0.755 
                 −1.961 
                 5.155 
                 −0.847 
                 0.691 
                 5.155 
               
               
                   
                 0.712 
                 −1.915 
                 5.155 
                 −0.815 
                 0.634 
                 5.155 
               
               
                   
                 0.664 
                 −1.863 
                 5.155 
                 −0.779 
                 0.569 
                 5.155 
               
               
                   
                 0.609 
                 −1.803 
                 5.155 
                 −0.740 
                 0.499 
                 5.155 
               
               
                   
                 0.552 
                 −1.739 
                 5.155 
                 −0.699 
                 0.425 
                 5.155 
               
               
                   
                 0.493 
                 −1.672 
                 5.155 
                 −0.656 
                 0.348 
                 5.155 
               
               
                   
                 0.432 
                 −1.602 
                 5.155 
                 −0.611 
                 0.268 
                 5.155 
               
               
                   
                 0.369 
                 −1.529 
                 5.155 
                 −0.564 
                 0.185 
                 5.155 
               
               
                   
                 0.305 
                 −1.452 
                 5.155 
                 −0.515 
                 0.099 
                 5.155 
               
               
                   
                 0.239 
                 −1.372 
                 5.155 
                 −0.463 
                 0.010 
                 5.155 
               
               
                   
                 0.171 
                 −1.287 
                 5.155 
                 −0.409 
                 −0.082 
                 5.155 
               
               
                   
                 0.103 
                 −1.199 
                 5.155 
                 −0.352 
                 −0.176 
                 5.155 
               
               
                   
                 0.036 
                 −1.110 
                 5.155 
                 −0.295 
                 −0.271 
                 5.155 
               
               
                   
                 −0.029 
                 −1.020 
                 5.155 
                 −0.237 
                 −0.364 
                 5.155 
               
               
                   
                 −0.092 
                 −0.928 
                 5.155 
                 −0.179 
                 −0.458 
                 5.155 
               
               
                   
                 −0.154 
                 −0.836 
                 5.155 
                 −0.120 
                 −0.551 
                 5.155 
               
               
                   
                 −0.215 
                 −0.742 
                 5.155 
                 −0.060 
                 −0.643 
                 5.155 
               
               
                   
                 −0.275 
                 −0.648 
                 5.155 
                 0.001 
                 −0.735 
                 5.155 
               
               
                   
                 −0.334 
                 −0.553 
                 5.155 
                 0.062 
                 −0.827 
                 5.155 
               
               
                   
                 −0.391 
                 −0.458 
                 5.155 
                 0.124 
                 −0.918 
                 5.155 
               
               
                   
                 −0.448 
                 −0.362 
                 5.155 
                 0.185 
                 −1.010 
                 5.155 
               
               
                   
                 −0.503 
                 −0.265 
                 5.155 
                 0.246 
                 −1.102 
                 5.155 
               
               
                   
                 −0.558 
                 −0.168 
                 5.155 
                 0.307 
                 −1.193 
                 5.155 
               
               
                   
                 −0.609 
                 −0.073 
                 5.155 
                 0.367 
                 −1.281 
                 5.155 
               
               
                   
                 −0.658 
                 0.019 
                 5.155 
                 0.425 
                 −1.366 
                 5.155 
               
               
                   
                 −0.703 
                 0.108 
                 5.155 
                 0.481 
                 −1.448 
                 5.155 
               
               
                   
                 −0.747 
                 0.194 
                 5.155 
                 0.535 
                 −1.527 
                 5.155 
               
               
                   
                 −0.787 
                 0.278 
                 5.155 
                 0.588 
                 −1.602 
                 5.155 
               
               
                   
                 −0.825 
                 0.358 
                 5.155 
                 0.639 
                 −1.674 
                 5.155 
               
               
                   
                 −0.861 
                 0.436 
                 5.155 
                 0.688 
                 −1.742 
                 5.155 
               
               
                   
                 −0.894 
                 0.511 
                 5.155 
                 0.736 
                 −1.808 
                 5.155 
               
               
                   
                 −0.924 
                 0.579 
                 5.155 
                 0.777 
                 −1.864 
                 5.155 
               
               
                   
                 −0.950 
                 0.640 
                 5.155 
                 0.814 
                 −1.914 
                 5.155 
               
               
                   
                 −0.972 
                 0.695 
                 5.155 
                 0.850 
                 −1.961 
                 5.155 
               
               
                   
                 −0.992 
                 0.748 
                 5.155 
                 0.883 
                 −2.005 
                 5.155 
               
               
                   
                 −1.007 
                 0.793 
                 5.155 
                 0.912 
                 −2.043 
                 5.155 
               
               
                   
                 −1.017 
                 0.829 
                 5.155 
                 0.934 
                 −2.072 
                 5.155 
               
               
                   
                 −1.023 
                 0.858 
                 5.155 
                 0.952 
                 −2.095 
                 5.155 
               
               
                   
                 −1.025 
                 0.881 
                 5.155 
                 0.966 
                 −2.113 
                 5.155 
               
               
                   
                 −1.024 
                 0.897 
                 5.155 
                 0.975 
                 −2.126 
                 5.155 
               
               
                   
                 −1.022 
                 0.906 
                 5.155 
                 0.975 
                 −2.139 
                 5.155 
               
               
                   
                 −1.019 
                 0.911 
                 5.155 
                 0.973 
                 −2.146 
                 5.155 
               
               
                   
                 −1.017 
                 0.913 
                 5.155 
                 0.970 
                 −2.149 
                 5.155 
               
               
                   
                 −1.016 
                 0.914 
                 5.155 
                 0.969 
                 −2.151 
                 5.155 
               
               
                   
                   
               
            
           
         
       
     
     It will also be appreciated that the airfoil  100  disclosed in any one of the above TABLES I through IX may be scaled up or down geometrically for use in other similar gas turbine designs. Consequently, the coordinate values set forth in any one of TABLES I through IX may be scaled upwardly or downwardly such that the airfoil profile shape remains unchanged. A scaled version of the coordinates in any one of TABLES I through IX would be represented by X, Y and Z coordinate values, with the X, Y and Z non-dimensional coordinate values converted to units of distance (e.g., inches), multiplied or divided by a constant number (e.g. a scaling factor). 
     As shown in  FIG.  4   , each airfoil  100  may define a stagger angle α (alpha) measured between the chord line  110  and the axial direction A of the gas turbine  10 . Specifically, the stagger angle α may be measured between the chord line  110  of an airfoil  100  and the axial centerline  23  (or rotary axis) of the gas turbine  10  at the trailing edge  108  of the airfoil  100 . The stagger angle α of each airfoil  100  disclosed herein may advantageously vary along the span-wise direction  118  (or radial direction R) according to a respective stagger angle distribution. The stagger angle distribution may be a collection of stagger angles α for a given airfoil  100  at each span-wise location (or radial location) along the airfoil  100 . 
     In many embodiments, each stage S1-S14 of rotor blades  44  may include a unique stagger angle distribution, such that the collective utilization of the stages S1-S14 of rotor blades  44  will yield a highly efficient compressor section  14 . For example, each of the airfoils  100  of the rotor blades  44  within the first stage S1 may have a first stagger angle distribution, each of the airfoils  100  of the rotor blades  44  within the second stage S2 may have a second stagger angle distribution, and so on for each stage (S1-S14) of the compressor section  14 . 
     Similarly, each stage S1-S14 of stator vanes  50  may include a unique stagger angle distribution, such that the collective utilization of the stages S1-S14 of stator vanes  50  will yield a highly efficient compressor section  14 . For example, each of the airfoils  100  of the stator vanes  50  within the first stage  51  may have a first stagger angle distribution, each of the airfoils  100  of the stator vanes  50  within the second stage S2 may have a second stagger angle distribution, and so on for each stage (S1-S14) of the compressor section  14 . 
     In accordance with embodiments of the present disclosure,  FIGS.  5  through  13    each illustrate a graph of a stagger angle distribution, which may belong to one or more airfoils  100  within a specified stage (e.g., S1-S14) of the compressor section  14 . Each of the graphs may be in non-dimensional units. Specifically, the y-axis may be a percentage along the span-wise direction  118  (e.g., with 0% span representing the inner diameter and 100% span representing the outer diameter). For example, with a rotor blade  44 , 0% span may represent the base of the airfoil  100 , and 100% span may represent the tip of the airfoil  100 . As for a stator vane  50 , 0% span may represent the tip of the airfoil  100 , and 100% span may represent the base of the airfoil  100 . The x-axis may be a ratio between the stagger angle at a specified span-wise location and the mid-span stagger angle (e.g., at about 50% span). 
     Each of the stagger angle distributions is plotted between 15% span and 85% span of the respective airfoil  100  to which it belongs (e.g., 0%-15% span and 85%-100% span points are omitted). Each stagger angle distribution, when implemented in an airfoil  100  on a rotor blade  44  and/or a stator vane  50  within the compressor section  14 , advantageously increase the aerodynamic efficiency of the airfoil  100  (as well as the entire compressor section  14 ) when compared to prior designs. 
     In particular,  FIG.  5    is a graph of a stagger angle distribution, plotted from 15% to 85% span of an airfoil  100  belonging to a rotor blade  44  within the second stage S2 (i.e., second stage rotor blade). In some embodiments, all of the rotor blades  44  within the second stage S2 of the compressor section  14  may include an airfoil  100  having the stagger distribution according to  FIG.  5   . The stagger angle distribution shown in  FIG.  5    is plotted according to the points in TABLE X below. 
     
       
         
           
               
             
               
                 TABLE X 
               
             
            
               
                   
               
               
                 Stage Two Rotor Blade Airfoil 
               
            
           
           
               
               
               
            
               
                   
                 (%) 
                 — 
               
               
                   
                 Span 
                 Stagger/Midspan stagger 
               
               
                   
               
               
                   
                 85.00% 
                 1.197 
               
               
                   
                 79.79% 
                 1.174 
               
               
                   
                 71.49% 
                 1.136 
               
               
                   
                 63.04% 
                 1.092 
               
               
                   
                 54.33% 
                 1.034 
               
               
                   
                 45.30% 
                 0.963 
               
               
                   
                 35.88% 
                 0.876 
               
               
                   
                 26.00% 
                 0.774 
               
               
                   
                 18.78% 
                 0.691 
               
               
                   
                 15.00% 
                 0.651 
               
               
                   
               
            
           
         
       
     
       FIG.  6    is a graph of a stagger angle distribution, plotted from 15% to 85% span of an airfoil  100  belonging to a rotor blade  44  within the third stage S3 (i.e., a third stage rotor blade). In some embodiments, all of the rotor blades  44  within the third stage S3 of the compressor section  14  may include an airfoil  100  having the stagger distribution according to  FIG.  6   . The stagger angle distribution shown in  FIG.  6    is plotted according to the points in TABLE XI below. 
     
       
         
           
               
             
               
                 TABLE XI 
               
             
            
               
                   
               
               
                 Stage Three Rotor Blade Airfoil 
               
            
           
           
               
               
               
            
               
                   
                 (%) 
                 — 
               
               
                   
                 Span 
                 Stagger/Midspan stagger 
               
               
                   
               
               
                   
                 85.00% 
                 1.190 
               
               
                   
                 78.90% 
                 1.160 
               
               
                   
                 70.29% 
                 1.124 
               
               
                   
                 61.53% 
                 1.075 
               
               
                   
                 52.55% 
                 1.019 
               
               
                   
                 43.36% 
                 0.951 
               
               
                   
                 33.95% 
                 0.865 
               
               
                   
                 24.37% 
                 0.770 
               
               
                   
                 17.58% 
                 0.702 
               
               
                   
                 15.00% 
                 0.683 
               
               
                   
               
            
           
         
       
     
       FIG.  7    is a graph of a stagger angle distribution, plotted from 15% to 85% span of an airfoil  100  belonging to a rotor blade  44  within the sixth stage S6 (i.e., a sixth stage rotor blade). In some embodiments, all of the rotor blades  44  within the sixth stage S6 of the compressor section  14  may include an airfoil  100  having the stagger distribution according to  FIG.  7   . The stagger angle distribution shown in  FIG.  7    is plotted according to the points in TABLE XII below. 
     
       
         
           
               
             
               
                 TABLE XII 
               
             
            
               
                   
               
               
                 Stage Six Rotor Blade Airfoil 
               
            
           
           
               
               
               
            
               
                   
                 (%) 
                 — 
               
               
                   
                 Span 
                 Stagger/Midspan stagger 
               
               
                   
               
               
                   
                 85.00% 
                 1.053 
               
               
                   
                 78.75% 
                 1.048 
               
               
                   
                 69.77% 
                 1.042 
               
               
                   
                 60.45% 
                 1.029 
               
               
                   
                 50.87% 
                 1.004 
               
               
                   
                 41.18% 
                 0.958 
               
               
                   
                 31.56% 
                 0.895 
               
               
                   
                 22.22% 
                 0.845 
               
               
                   
                 15.00% 
                 0.824 
               
               
                   
               
            
           
         
       
     
       FIG.  8    is a graph of a stagger angle distribution, plotted from 15% to 85% span of an airfoil  100  belonging to a rotor blade  44  within the seventh stage S7 (i.e., a seventh stage rotor blade). In some embodiments, all of the rotor blades  44  within the seventh stage S7 of the compressor section  14  may include an airfoil  100  having the stagger distribution according to  FIG.  8   . The stagger angle distribution shown in  FIG.  8    is plotted according to the points in TABLE XIII below. 
     
       
         
           
               
             
               
                 TABLE XIII 
               
             
            
               
                   
               
               
                 Stage Seven Rotor Blade Airfoil 
               
            
           
           
               
               
               
            
               
                   
                 (%) 
                 — 
               
               
                   
                 Span 
                 Stagger/Midspan stagger 
               
               
                   
               
               
                   
                 85.00% 
                 1.050 
               
               
                   
                 78.22% 
                 1.048 
               
               
                   
                 69.16% 
                 1.044 
               
               
                   
                 59.73% 
                 1.029 
               
               
                   
                 50.06% 
                 1.000 
               
               
                   
                 40.36% 
                 0.959 
               
               
                   
                 30.80% 
                 0.911 
               
               
                   
                 21.57% 
                 0.870 
               
               
                   
                 15.00% 
                 0.848 
               
               
                   
               
            
           
         
       
     
       FIG.  9    is a graph of a stagger angle distribution, plotted from 15% to 85% span of an airfoil  100  belonging to a rotor blade  44  within the eighth stage S8 (i.e., an eighth stage rotor blade). In some embodiments, all of the rotor blades  44  within the eighth stage S8 of the compressor section  14  may include an airfoil  100  having the stagger distribution according to  FIG.  9   . The stagger angle distribution shown in  FIG.  9    is plotted according to the points in TABLE XIV below. 
     
       
         
           
               
             
               
                 TABLE XIV 
               
             
            
               
                   
               
               
                 Stage Eight Rotor Blade Airfoil 
               
            
           
           
               
               
               
            
               
                   
                 (%) 
                 — 
               
               
                   
                 Span 
                 Stagger/Midspan stagger 
               
               
                   
               
               
                   
                 85.00% 
                 1.012 
               
               
                   
                 79.17% 
                 1.011 
               
               
                   
                 70.39% 
                 1.017 
               
               
                   
                 61.13% 
                 1.015 
               
               
                   
                 51.49% 
                 1.004 
               
               
                   
                 41.68% 
                 0.976 
               
               
                   
                 31.90% 
                 0.937 
               
               
                   
                 22.36% 
                 0.886 
               
               
                   
                 15.00% 
                 0.861 
               
               
                   
               
            
           
         
       
     
       FIG.  10    is a graph of a stagger angle distribution, plotted from 15% to 85% span of an airfoil  100  belonging to a rotor blade  44  within the ninth stage S9 (i.e., a ninth stage rotor blade). In some embodiments, all of the rotor blades  44  within the ninth stage S9 of the compressor section  14  may include an airfoil  100  having the stagger distribution according to  FIG.  10   . The stagger angle distribution shown in  FIG.  10    is plotted according to the points in TABLE XV below. 
     
       
         
           
               
             
               
                 TABLE XV 
               
             
            
               
                   
               
               
                 Stage Nine Rotor Blade Airfoil 
               
            
           
           
               
               
               
            
               
                   
                 (%) 
                 — 
               
               
                   
                 Span 
                 Stagger/Midspan stagger 
               
               
                   
               
               
                   
                 85.00% 
                 0.995 
               
               
                   
                 79.29% 
                 0.997 
               
               
                   
                 70.35% 
                 1.003 
               
               
                   
                 60.92% 
                 1.007 
               
               
                   
                 51.11% 
                 1.002 
               
               
                   
                 41.12% 
                 0.983 
               
               
                   
                 31.21% 
                 0.945 
               
               
                   
                 21.71% 
                 0.880 
               
               
                   
                 15.00% 
                 0.823 
               
               
                   
               
            
           
         
       
     
       FIG.  11    is a graph of a stagger angle distribution, plotted from 15% to 85% span of an airfoil  100  belonging to a rotor blade  44  within the eleventh stage S11 (i.e., an eleventh stage rotor blade). In some embodiments, all of the rotor blades  44  within the eleventh stage S11 of the compressor section  14  may include an airfoil  100  having the stagger distribution according to  FIG.  11   . The stagger angle distribution shown in  FIG.  11    is plotted according to the points in TABLE XVI below. 
     
       
         
           
               
             
               
                 TABLE XVI 
               
             
            
               
                   
               
               
                 Stage Eleven Rotor Blade Airfoil 
               
            
           
           
               
               
               
            
               
                   
                 (%) 
                 — 
               
               
                   
                 Span 
                 Stagger/Midspan stagger 
               
               
                   
               
               
                   
                 85.00% 
                 0.952 
               
               
                   
                 79.26% 
                 0.955 
               
               
                   
                 70.28% 
                 0.972 
               
               
                   
                 60.66% 
                 0.992 
               
               
                   
                 50.52% 
                 1.001 
               
               
                   
                 40.17% 
                 0.983 
               
               
                   
                 29.99% 
                 0.941 
               
               
                   
                 20.29% 
                 0.880 
               
               
                   
                 15.00% 
                 0.845 
               
               
                   
               
            
           
         
       
     
       FIG.  12    is a graph of a stagger angle distribution, plotted from 15% to 85% span of an airfoil  100  belonging to a rotor blade  44  within the twelfth stage S12 (i.e., a twelfth stage rotor blade). In some embodiments, all of the rotor blades  44  within the twelfth stage S12 of the compressor section  14  may include an airfoil  100  having the stagger distribution according to  FIG.  12   . The stagger angle distribution shown in  FIG.  12    is plotted according to the points in TABLE XVII below. 
     
       
         
           
               
             
               
                 TABLE XVII 
               
             
            
               
                   
               
               
                 Stage Twelve Rotor Blade Airfoil 
               
            
           
           
               
               
               
            
               
                   
                 (%) 
                 — 
               
               
                   
                 Span 
                 Stagger/Midspan stagger 
               
               
                   
               
               
                   
                 85.00% 
                 0.991 
               
               
                   
                 80.95% 
                 0.991 
               
               
                   
                 71.62% 
                 0.998 
               
               
                   
                 61.60% 
                 1.005 
               
               
                   
                 51.15% 
                 1.002 
               
               
                   
                 40.63% 
                 0.986 
               
               
                   
                 30.34% 
                 0.953 
               
               
                   
                 20.53% 
                 0.909 
               
               
                   
                 15.00% 
                 0.878 
               
               
                   
               
            
           
         
       
     
       FIG.  13    is a graph of a stagger angle distribution, plotted from 15% to 85% span of an airfoil  100  belonging to a rotor blade  44  within the thirteenth stage S13 (i.e., a thirteenth stage rotor blade). In some embodiments, all of the rotor blades  44  within the thirteenth stage S13 of the compressor section  14  may include an airfoil  100  having the stagger distribution according to  FIG.  13   . The stagger angle distribution shown in  FIG.  13    is plotted according to the points in TABLE XVIII below. 
     
       
         
           
               
             
               
                 TABLE XVIII 
               
             
            
               
                   
               
               
                 Stage Thirteen Rotor Blade Airfoil 
               
            
           
           
               
               
               
            
               
                   
                 (%) 
                 — 
               
               
                   
                 Span 
                 Stagger/Midspan stagger 
               
               
                   
               
               
                   
                 85.00% 
                 0.997 
               
               
                   
                 80.94% 
                 0.996 
               
               
                   
                 71.94% 
                 1.002 
               
               
                   
                 62.34% 
                 1.006 
               
               
                   
                 52.33% 
                 1.004 
               
               
                   
                 42.10% 
                 0.986 
               
               
                   
                 31.87% 
                 0.953 
               
               
                   
                 21.86% 
                 0.911 
               
               
                   
                 15.00% 
                 0.884 
               
               
                   
               
            
           
         
       
     
     The disclosed airfoil shape optimizes and is specific to the machine conditions and specifications. It provides a unique profile to achieve 1) interaction between other stages in the compressor section  14 ; 2) aerodynamic efficiency; and 3) normalized aerodynamic and mechanical blade loadings. The disclosed loci of points defined in any one of TABLES I through IX allow the gas turbine  10  or any other suitable turbine to run in an efficient, safe and smooth manner. As also noted, the disclosed airfoil  100  may be adapted to any scale, as long as 1) interaction between other stages in the compressor section  14 ; 2) aerodynamic efficiency; and 3) normalized aerodynamic and mechanical blade loadings are maintained in the scaled turbine. 
     The airfoil  100  described herein thus improves overall gas turbine  10  efficiency. The airfoil  100  also meets all aeromechanical and stress requirements. For example, the airfoil  100  of the rotor blade  44  thus is of a specific shape to meet aerodynamic, mechanical, and heat transfer requirements in an efficient and cost-effective manner. 
     This written description uses examples to disclose the invention, including the best mode, and also to enable any person skilled in the art to practice the invention, including making and using any devices or systems and performing any incorporated methods. The patentable scope of the invention is defined by the claims, and may include other examples that occur to those skilled in the art. Such other examples are intended to be within the scope of the claims if they include structural elements that do not differ from the literal language of the claims, or if they include equivalent structural elements with insubstantial differences from the literal language of the claims. 
     Further aspects of the invention are provided by the subject matter of the following clauses: 
     A rotor blade comprising an airfoil having an airfoil shape, the airfoil shape having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in one of Table I, Table II, Table III, Table IV, Table V, Table VI, Table VII, Table VIII, or Table IX, the Cartesian coordinate values of X, Y, and Z being defined relative to a point data origin at a base of the airfoil, wherein the Cartesian coordinate values of X, Y and Z are non-dimensional values from 0% to 100% convertible to dimensional distances expressed in a unit of distance by multiplying the Cartesian coordinate values of X, Y and Z by a scaling factor of the airfoil in the unit of distance; and wherein X and Y values, when connected by smooth continuing arcs, define airfoil profile sections at each Z value, the airfoil profile sections at Z values being joined smoothly with one another to form a complete airfoil shape. 
     The rotor blade of one or more of these clauses, wherein the airfoil includes a stagger angle distribution in accordance with one of Table X, Table XI, Table XII, Table XIII, Table XIV, Table XV, Table XVI, Table XVII, or Table XVIII, each stagger angle in the stagger angle distribution being measured between a chord line of the airfoil and a rotary axis of the airfoil. 
     The rotor blade of one or more of these clauses, wherein the rotor blade forms part of a mid stage of a compressor section of a turbomachine. 
     The rotor blade of one or more of these clauses, wherein the rotor blade is disposed in one of an early stage of a compressor section of a turbomachine or a late stage of the compressor section of the turbomachine. 
     The rotor blade of one or more of these clauses, wherein the rotor blade is one of a second stage compressor rotor blade, a third stage compressor rotor blade, a sixth stage compressor rotor blade, a seventh stage compressor rotor blade, an eighth stage compressor rotor blade, a ninth stage compressor rotor blade, an eleventh stage compressor rotor blade, a twelfth stage compressor rotor blade, or a thirteenth stage compressor rotor blade. 
     The rotor blade of one or more of these clauses, wherein the airfoil shape lies in an envelope within +/−5% of a chord length in a direction normal to any airfoil surface location. 
     The rotor blade of one or more of these clauses, wherein the scaling factor is between about 0.01 inches and about 10 inches. 
     The rotor blade of one or more of these clauses, wherein the X, Y and Z values are scalable as a function of the same constant or number to provide a scaled-up or scaled-down airfoil. 
     A rotor blade comprising an airfoil having a nominal suction-side profile substantially in accordance with suction-side Cartesian coordinate values of X, Y and Z set forth in one of Table I, Table II, Table III, Table IV, Table V, Table VI, Table VII, Table VIII, or Table IX, the Cartesian coordinate values of X, Y, and Z being defined relative to a point data origin at a base of the airfoil, wherein the Cartesian coordinate values of X, Y and Z are non-dimensional values from 0% to 100% convertible to dimensional distances expressed in a unit of distance by multiplying the Cartesian coordinate values of X, Y and Z by a scaling factor of the airfoil in the unit of distance; and wherein X and Y values, when connected by smooth continuing arcs, define suction-side profile sections at each Z value, the suction-side profile sections at the Z values being joined smoothly with one another to form a complete airfoil suction-side shape. 
     The rotor blade of one or more of these clauses, wherein the airfoil includes a stagger angle distribution in accordance with one of Table X, Table XI, Table XII, Table XIII, Table XIV, Table XV, Table XVI, Table XVII, or Table XVIII, each stagger angle in the stagger angle distribution being measured between a chord line of the airfoil and a rotary axis of the airfoil. 
     The rotor blade of one or more of these clauses, wherein the rotor blade forms part of a mid stage of a compressor section of a turbomachine. 
     The rotor blade of one or more of these clauses, wherein the rotor blade is disposed in one of an early stage of a compressor section of a turbomachine or a late stage of the compressor section of the turbomachine. 
     The rotor blade of one or more of these clauses, wherein the rotor blade is one of a second stage compressor rotor blade, a third stage compressor rotor blade, a sixth stage compressor rotor blade, a seventh stage compressor rotor blade, an eighth stage compressor rotor blade, a ninth stage compressor rotor blade, an eleventh stage compressor rotor blade, a twelfth stage compressor rotor blade, or a thirteenth stage compressor rotor blade. 
     The rotor blade of one or more of these clauses, wherein the nominal suction-side profile lies in an envelope within +/−5% of a chord length in a direction normal to any airfoil surface location. 
     The rotor blade of one or more of these clauses, wherein the scaling factor is between about 0.01 inches and about 10 inches. 
     The rotor blade of one or more of these clauses, wherein the X, Y and Z values are scalable as a function of the same constant or number to provide a scaled-up or scaled-down airfoil. 
     A turbomachine comprising a compressor section; a turbine section downstream from the compressor section; a combustion section downstream from the compressor section and upstream from the turbine section; and two or more rotor blades disposed within the compressor section of the turbomachine, each rotor blade of the two or more rotor blades comprising an airfoil having an airfoil shape, the airfoil shape having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in one of Table I, Table II, Table III, Table IV, Table V, Table VI, Table VII, Table VIII, or Table IX, the Cartesian coordinate values of X, Y, and Z being defined relative to a point data origin at a base of the airfoil, wherein the Cartesian coordinate values of X, Y and Z are non-dimensional values from 0% to 100% convertible to dimensional distances expressed in a unit of distance by multiplying the Cartesian coordinate values of X, Y and Z by a height of the airfoil in the unit of distance; and wherein X and Y values, when connected by smooth continuing arcs, define airfoil profile sections at each Z value, the airfoil profile sections at Z values being joined smoothly with one another to form a complete airfoil shape. 
     The turbomachine of one or more of these clauses, wherein the airfoil includes a stagger angle distribution in accordance with one of Table X, Table XI, Table XII, Table XIII, Table XIV, Table XV, Table XVI, Table XVII, or Table XVIII, each stagger angle in the stagger angle distribution being measured between a chord line of the airfoil and a rotary axis of the airfoil. 
     The turbomachine of one or more of these clauses, wherein the two or more rotor blades each form part of a mid stage of the compressor section. 
     The turbomachine of one or more of these clauses, wherein each rotor blade of the two or more rotor blades is disposed in one of an early stage of the compressor section or a late stage of the compressor section. 
     A rotor blade comprising an airfoil having an airfoil shape, the airfoil shape having a nominal profile, wherein the airfoil includes a stagger angle distribution in accordance with one of Table X, Table XI, Table XII, Table XIII, Table XIV, Table XV, Table XVI, Table XVII, or Table XVIII, each stagger angle in the stagger angle distribution being measured between a chord line of the airfoil and a rotary axis of the airfoil. 
     The rotor blade of one or more of these clauses, wherein the rotor blade forms part of a mid stage of a compressor section of a turbomachine. 
     The rotor blade of one or more of these clauses, wherein the rotor blade is disposed in one of an early stage of a compressor section of a turbomachine or a late stage of the compressor section of the turbomachine. 
     The rotor blade of one or more of these clauses, wherein the rotor blade is one of a second stage compressor rotor blade, a third stage compressor rotor blade, a sixth stage compressor rotor blade, a seventh stage compressor rotor blade, an eighth stage compressor rotor blade, a ninth stage compressor rotor blade, an eleventh stage compressor rotor blade, a twelfth stage compressor rotor blade, or a thirteenth stage compressor rotor blade. 
     The rotor blade of one or more of these clauses, wherein the airfoil shape lies in an envelope within +/−5% of a chord length in a direction normal to any airfoil surface location. 
     The rotor blade of one or more of these clauses, wherein the scaling factor is between about 0.01 inches and about 10 inches. 
     The rotor blade of one or more of these clauses, wherein the nominal profile is defined substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in one of Table I, Table II, Table III, Table IV, Table V, Table VI, Table VII, Table VIII, or Table IX the Cartesian coordinate values of X, Y, and Z being defined relative to a point data origin at a base of the airfoil, wherein the Cartesian coordinate values of X, Y and Z are non-dimensional values from 0% to 100% convertible to dimensional distances expressed in a unit of distance by multiplying the Cartesian coordinate values of X, Y and Z by a scaling factor of the airfoil in the unit of distance; and wherein X and Y values, when connected by smooth continuing arcs, define airfoil profile sections at each Z value, the airfoil profile sections at Z values being joined smoothly with one another to form a complete airfoil shape, wherein the X, Y and Z values are scalable as a function of the same constant or number to provide a scaled-up or scaled-down airfoil.