Compressor stator vane airfoils

Description

FIELD

The present disclosure relates to an airfoil for a compressor stator vane 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 stator vane. Airfoils having the shapes defined herein may be used in the fifth compressor stage, the sixth compressor stage, and the seventh compressor stage.

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, to create thrust, to convert kinetic energy to mechanical energy, and/or to convert thermal energy to mechanical energy. As a result of these interactions and conversions, 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 stator vanes 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 stator vane is provided. A stator vane 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, or TABLE III. The Cartesian coordinate values of X, Y, and Z are defined relative to a point data origin at a base of the airfoil. The Cartesian coordinate values of X, Y, and Z are non-dimensional values that are 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 are connected by smooth continuing arcs to 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.

In accordance with another embodiment, a stator vane is provided. The stator vane 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, or TABLE III. The Cartesian coordinate values of X, Y, and Z are defined relative to a point data origin at a base of the airfoil. The Cartesian coordinate values of X, Y, and Z are non-dimensional values that are 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 are connected by smooth continuing arcs to 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 stator vane is disposed within the compressor section. The stator vane 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, or TABLE III. The Cartesian coordinate values of X, Y, and Z are defined relative to a point data origin at a base of the airfoil. The Cartesian coordinate values of X, Y, and Z are non-dimensional values that are 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 are connected by smooth continuing arcs to 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.

These and other features, aspects and advantages of the present stator vanes 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 stator vanes 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 (e.g., of the turbomachine of FIG. 1), in accordance with embodiments of the present disclosure;

FIG. 3 illustrates a perspective view of a stator vane as may be used in the compressor section of FIG. 2, in accordance with embodiments of the present disclosure;

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; and

FIG. 5 illustrates a graph of a stagger angle distributions belonging to an airfoil disposed on a stator vane within a fifth stage of a compressor section, an airfoil disposed on a stator vane within a sixth stage of a compressor section, and an airfoil disposed on a stator vane within a seventh 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 stator vanes 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 an industrial and/or land-based gas turbine unless otherwise specified in the claims. For example, the stator vane airfoils 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, one or more 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 surrounds the turbine 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 combustor(s) of the combustor section 16. The pressurized air is mixed with fuel and burned within the combustor(s) 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 spent combustion gases 34 exiting the turbine section 18 (sometimes referred to as “flue gases” or “exhaust gases”) 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) 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, the first two stages of the compressor section 14 (e.g., S1 and S2) may include variable stator vanes 51. In many embodiments, as shown, the rotor blades 44 and stator vanes 50 may be arranged in stages in an alternating fashion, such that most stages of the rotor blades 44 are disposed between two stages of 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, may be 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, may be 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 vanes 51 and the IGVs 52 may each be configured to vary its vane angle relative to the gas flow (e.g., air flow) by rotating the vane 51, 52 about an axis of rotation (e.g., about the radially oriented vane shaft). However, each variable stator vane 51 (including the IGVs 52) may be otherwise stationary relative to the rotor blades 44. In certain embodiments, the variable stator vanes 51 and the IGVs 52 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 200 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 22, 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 (attached to rotor disks 24 and circumferentially spaced about the axial centerline 23) and a plurality of stator vanes 50 (attached to the compressor casing 48 and 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 22 stages (e.g., S1-S22).

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 are illustrated, FIG. 2 illustrates an embodiment of the compressor section 14 having twenty two 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, fourteenth stage S14, fifteenth stage S15, sixteenth stage S16, seventeenth stage S17, eighteenth stage S18, nineteenth stage S19, twentieth stage S20, twenty-first stage S21, and twenty-second stage S22. The IGVs 52 are upstream (i.e., forward) of first stage S1, and the OGVs 58 are downstream (i.e., aft) of the twenty-second stage S22.

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-S22 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. Similarly, a stator vane 50 disposed within one of the sections S1-S22 of the compressor section 14 may be referred to by whichever stage it is disposed within, e.g., “a third stage compressor stator vane,” “a fourth stage compressor stator vane,” “a fifth stage compressor stator vane,” etc.

In use, the rotor blades 44 may rotate circumferentially about the axial centerline 23 within the compressor casing 48 and between 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 twenty-second stage S22) of the compressor section 14 and moves in the axial direction 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 directed to the combustor section 16 and mixed with fuel for combustion. Air from one or more stages of the compressor section 14 may also be directed to the turbine section 18 or elsewhere in the gas turbine 10 for cooling and/or sealing.

TABLES I through III below each contain coordinate data that describes a respective airfoil shape (or surface profile). In exemplary embodiment s, the airfoil shapes defined by each of TABLES I through III describe a stator vane 50 of the compressor section 14 and, in particular, stator vanes 50 of stage five, stage six, and stage seven, respectively.

The IGV 52, the stages (e.g., S1-S22) 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 sixth stage S6). The mid stage 62 may include from approximately 25% to approximately 75% of the compressor section 14 (e.g., from about the seventh stage S7 to about the eighteenth stage S18). The late stage 64 may include from approximately 75% to approximately 100% of the compressor section 14 (e.g., from about the nineteenth stage S19 to the OGV 58).

Accordingly, the Cartesian coordinate data contained within each of TABLES I through III may correspond to an airfoil shape of an airfoil 100 disposed within an early stage 60 or mid stage 62 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 stator vane 50 within the fifth stage S5 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 stator vane 50 within the sixth stage S6 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 stator vane 50 within the seventh stage S7 of the compressor section 14.

However, in various other embodiments, each of TABLES I through III may contain Cartesian coordinate data of an airfoil shape of an airfoil 100 that may be disposed on a stator vane 50 in any stage S1-S22 of the compressor section 14. Accordingly, the airfoil shape defined by each of TABLES I through III 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 stator vane 50, which may be incorporated in any stage (e.g., S1 through S22) of the compressor section 14, in accordance with embodiments of the present disclosure.

As shown, the stator vane 50 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 (or “span-wise”) along the airfoil 100.

In operation, the stator vanes 50 may be stationary components that do not move in the circumferential direction C. For example, the stator vanes 50 may be coupled to, and extend radially inward from, the compressor casing 48. Each set (or stage) of stator vanes 50 within the compressor section 14 may be disposed axially between two sets (or stages) of rotor blades 44, which rotate in the circumferential direction C. For example, the rotor blades 44 rotate about the turbomachine 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 S22 of the multi-stage axial compressor section 14 on its way to the combustor section 16. The stator vanes 50 may be adjacent (e.g., upstream and/or downstream) to the one or more sets of the rotor blades 44. 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 section 16.

As shown in FIG. 3, the airfoil 100 includes a root or first end 112, which intersects with and extends radially inwardly from a base or platform 114 of the stator vane 50. The airfoil 100 terminates radially at a second end or radial tip 116 of the airfoil 100. In some embodiments (not shown), the stator vane 50 may include a tip shroud or tip platform extending from the radial tip 116 generally parallel to the base 114. 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 stator vane 50 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 discovered and/or developed.

In various implementations, the stator vane 50 may include a mounting portion 74 (such as a dovetail joint), which is formed to connect and/or to secure the stator vane 50 to the compressor casing 48. 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 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 III. The actual profile on a manufactured compressor stator vane will be different than those in TABLES I through III, 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 a scaling factor.

The airfoil 100 of the stator vane 50 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 III. The actual profile on a manufactured compressor blade may be different from those in TABLES I through III (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 TABLES I through III 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 TABLES I through III 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. 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, or such as between about 0.02 inches and about 5 inches, or such as between about 0.04 inches and about 2.5 inches, or such as between about 0.06 inches and about 1.5 inches.

In various embodiments, the X, Y, and Z values in TABLES I through III 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 this way, TABLES I through III defines 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 TABLES I through III 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 of a respective table. For example, the X, Y, and Z coordinate values of TABLES I through III 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 each respective table of TABLES I, II, or III, 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 stator vane 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 stator vane 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 TABLES I through III below define the airfoil shapes (which include the various airfoil profile sections) of airfoils belonging to three different compressor stator vanes at various locations along its respective height (or along the span-wise direction 118).

Each of TABLES I, II, and III lists data for an uncoated airfoil at cold or room temperature. As used herein, the phrase “substantially in accordance with Cartesian coordinate values of X, Y, and Z set forth in any of TABLES I through III” refers to 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 of each stator vane airfoil, as embodied by the disclosure, is robust to this range of variation without impairment of mechanical and aerodynamic functions.

A point data origin 76 is defined at the base 114 of the respective 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 III 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 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 in the direction from the pressure-side surface 102 towards the suction-side surface 104, and the positive Z coordinate value is radially outwardly from the base 114 toward the radial tip 116 (e.g., opposite the radial direction of the gas turbine 10). All the values in TABLES I through III 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 stator vane 50 may be defined at each specified 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 III are generated and shown to three decimal places for determining the airfoil shape 150 of the airfoil 100. As the stator vane 50 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 III 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 TABLES I through III 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 stator vane 50 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 III below at the same temperature. The data provided in each of TABLES I through III 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 stator vane 50 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 III. 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 III.

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 respective 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. 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, thereby defining the complete airfoil shape 150 of the airfoil 100.

A Cartesian coordinate system of X, Y, and Z values given in each of TABLES I through III below define respective suction side surfaces or profiles 104 and 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, in TABLE I, points 113 through 168 define the respective suction side surface 104 and pressure side surface 102 of a respective airfoil taken along the Z value coinciding with line 4-4 shown in FIG. 3.

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 III below are computer-generated and shown to three decimal places. In certain embodiments, any values having less than three decimal places may be shown with trailing zeroes to obtain three decimal places. Furthermore, in some embodiments and in view of manufacturing constraints, actual values useful for forming the airfoil 100 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 III are for the airfoil shape 150 of a nominal airfoil. It will therefore be appreciated that plus or minus typical manufacturing tolerances 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 III 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 of 0.008 inches (0.20 mm), or between 0.001 and 0.1 inches (between 0.025 and 2.5 mm), or between 0.0001 and 1 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 or a pressure side in any of TABLES I through III 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 III 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 III below contain Cartesian coordinate data of an airfoil shape 150 of an airfoil 100, which may be incorporated into the compressor section 14 of the gas turbine 10.

In exemplary embodiments, TABLE I below contains Cartesian coordinate data of an airfoil shape 150 of an airfoil 100 of a stator vane 50, 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 stator vane 50, which is disposed in the fifth stage S5 of the compressor section 14.

TABLE I
	Pressure Side Surface	Suction Side Surface

N	X	Y	Z	X	Y	Z

1	−1.400	−1.043	−0.006	2.060	1.008	−0.006
2	−1.400	−1.043	−0.006	2.060	1.009	−0.006
3	−1.398	−1.044	−0.006	2.059	1.011	−0.006
4	−1.396	−1.046	−0.006	2.056	1.015	−0.006
5	−1.390	−1.049	−0.006	2.050	1.021	−0.006
6	−1.380	−1.051	−0.006	2.037	1.027	−0.006
7	−1.362	−1.051	−0.006	2.018	1.026	−0.006
8	−1.339	−1.043	−0.006	1.994	1.017	−0.006
9	−1.310	−1.028	−0.006	1.963	1.007	−0.006
10	−1.277	−1.005	−0.006	1.923	0.993	−0.006
11	−1.233	−0.975	−0.006	1.871	0.976	−0.006
12	−1.183	−0.941	−0.006	1.811	0.955	−0.006
13	−1.129	−0.905	−0.006	1.747	0.934	−0.006
14	−1.068	−0.865	−0.006	1.680	0.911	−0.006
15	−1.000	−0.821	−0.006	1.604	0.885	−0.006
16	−0.925	−0.773	−0.006	1.516	0.855	−0.006
17	−0.847	−0.723	−0.006	1.424	0.825	−0.006
18	−0.765	−0.670	−0.006	1.328	0.793	−0.006
19	−0.679	−0.616	−0.006	1.229	0.759	−0.006
20	−0.590	−0.559	−0.006	1.125	0.724	−0.006
21	−0.498	−0.500	−0.006	1.017	0.688	−0.006
22	−0.403	−0.439	−0.006	0.906	0.650	−0.006
23	−0.304	−0.375	−0.006	0.790	0.610	−0.006
24	−0.202	−0.309	−0.006	0.671	0.567	−0.006
25	−0.100	−0.243	−0.006	0.553	0.524	−0.006
26	0.003	−0.178	−0.006	0.435	0.479	−0.006
27	0.105	−0.112	−0.006	0.317	0.433	−0.006
28	0.208	−0.048	−0.006	0.200	0.385	−0.006
29	0.311	0.017	−0.006	0.084	0.335	−0.006
30	0.414	0.081	−0.006	−0.031	0.283	−0.006
31	0.518	0.145	−0.006	−0.144	0.228	−0.006
32	0.622	0.208	−0.006	−0.257	0.171	−0.006
33	0.727	0.270	−0.006	−0.367	0.110	−0.006
34	0.832	0.331	−0.006	−0.476	0.045	−0.006
35	0.937	0.391	−0.006	−0.581	−0.025	−0.006
36	1.040	0.449	−0.006	−0.680	−0.096	−0.006
37	1.139	0.504	−0.006	−0.773	−0.169	−0.006
38	1.235	0.556	−0.006	−0.859	−0.243	−0.006
39	1.328	0.605	−0.006	−0.938	−0.319	−0.006
40	1.418	0.653	−0.006	−1.011	−0.395	−0.006
41	1.504	0.697	−0.006	−1.077	−0.471	−0.006
42	1.587	0.740	−0.006	−1.138	−0.546	−0.006
43	1.666	0.780	−0.006	−1.193	−0.621	−0.006
44	1.735	0.815	−0.006	−1.241	−0.690	−0.006
45	1.797	0.845	−0.006	−1.283	−0.753	−0.006
46	1.855	0.874	−0.006	−1.318	−0.810	−0.006
47	1.910	0.901	−0.006	−1.350	−0.865	−0.006
48	1.957	0.924	−0.006	−1.377	−0.912	−0.006
49	1.993	0.942	−0.006	−1.397	−0.949	−0.006
50	2.023	0.956	−0.006	−1.411	−0.980	−0.006
51	2.044	0.967	−0.006	−1.415	−1.005	−0.006
52	2.058	0.979	−0.006	−1.413	−1.023	−0.006
53	2.062	0.992	−0.006	−1.408	−1.033	−0.006
54	2.062	1.000	−0.006	−1.405	−1.039	−0.006
55	2.061	1.005	−0.006	−1.402	−1.041	−0.006
56	2.061	1.007	−0.006	−1.401	−1.042	−0.006
57	−1.416	−1.048	0.312	2.064	1.003	0.312
58	−1.416	−1.049	0.312	2.064	1.004	0.312
59	−1.414	−1.050	0.312	2.063	1.006	0.312
60	−1.412	−1.051	0.312	2.060	1.011	0.312
61	−1.406	−1.054	0.312	2.054	1.017	0.312
62	−1.396	−1.056	0.312	2.041	1.023	0.312
63	−1.378	−1.055	0.312	2.022	1.021	0.312
64	−1.354	−1.048	0.312	1.998	1.013	0.312
65	−1.326	−1.031	0.312	1.966	1.002	0.312
66	−1.293	−1.008	0.312	1.926	0.989	0.312
67	−1.249	−0.978	0.312	1.874	0.971	0.312
68	−1.199	−0.943	0.312	1.814	0.951	0.312
69	−1.145	−0.907	0.312	1.750	0.929	0.312
70	−1.084	−0.866	0.312	1.682	0.906	0.312
71	−1.016	−0.822	0.312	1.606	0.881	0.312
72	−0.941	−0.774	0.312	1.518	0.851	0.312
73	−0.862	−0.723	0.312	1.426	0.821	0.312
74	−0.779	−0.671	0.312	1.330	0.788	0.312
75	−0.694	−0.616	0.312	1.230	0.755	0.312
76	−0.604	−0.559	0.312	1.126	0.720	0.312
77	−0.512	−0.500	0.312	1.018	0.683	0.312
78	−0.415	−0.439	0.312	0.906	0.645	0.312
79	−0.316	−0.376	0.312	0.790	0.605	0.312
80	−0.213	−0.310	0.312	0.671	0.562	0.312
81	−0.110	−0.245	0.312	0.552	0.518	0.312
82	−0.007	−0.180	0.312	0.433	0.474	0.312
83	0.097	−0.115	0.312	0.315	0.427	0.312
84	0.200	−0.050	0.312	0.198	0.379	0.312
85	0.304	0.014	0.312	0.082	0.329	0.312
86	0.409	0.078	0.312	−0.034	0.277	0.312
87	0.513	0.141	0.312	−0.148	0.222	0.312
88	0.618	0.203	0.312	−0.261	0.164	0.312
89	0.723	0.265	0.312	−0.371	0.103	0.312
90	0.829	0.326	0.312	−0.480	0.038	0.312
91	0.935	0.386	0.312	−0.586	−0.031	0.312
92	1.038	0.444	0.312	−0.686	−0.103	0.312
93	1.138	0.499	0.312	−0.779	−0.176	0.312
94	1.235	0.551	0.312	−0.865	−0.250	0.312
95	1.328	0.601	0.312	−0.945	−0.326	0.312
96	1.418	0.648	0.312	−1.018	−0.401	0.312
97	1.505	0.693	0.312	−1.086	−0.477	0.312
98	1.588	0.735	0.312	−1.147	−0.553	0.312
99	1.668	0.775	0.312	−1.203	−0.627	0.312
100	1.737	0.810	0.312	−1.252	−0.696	0.312
101	1.799	0.841	0.312	−1.294	−0.759	0.312
102	1.858	0.869	0.312	−1.330	−0.816	0.312
103	1.913	0.896	0.312	−1.363	−0.870	0.312
104	1.960	0.919	0.312	−1.390	−0.918	0.312
105	1.997	0.937	0.312	−1.411	−0.955	0.312
106	2.026	0.951	0.312	−1.425	−0.985	0.312
107	2.048	0.962	0.312	−1.430	−1.010	0.312
108	2.062	0.974	0.312	−1.428	−1.029	0.312
109	2.066	0.987	0.312	−1.424	−1.038	0.312
110	2.066	0.995	0.312	−1.420	−1.044	0.312
111	2.065	1.000	0.312	−1.418	−1.046	0.312
112	2.065	1.002	0.312	−1.417	−1.048	0.312
113	−1.443	−1.056	0.851	2.069	0.994	0.851
114	−1.443	−1.056	0.851	2.069	0.995	0.851
115	−1.441	−1.057	0.851	2.068	0.997	0.851
116	−1.438	−1.059	0.851	2.065	1.001	0.851
117	−1.432	−1.062	0.851	2.059	1.007	0.851
118	−1.422	−1.064	0.851	2.046	1.013	0.851
119	−1.404	−1.062	0.851	2.027	1.011	0.851
120	−1.381	−1.053	0.851	2.003	1.003	0.851
121	−1.353	−1.036	0.851	1.971	0.993	0.851
122	−1.320	−1.012	0.851	1.931	0.979	0.851
123	−1.277	−0.980	0.851	1.878	0.962	0.851
124	−1.227	−0.945	0.851	1.818	0.942	0.851
125	−1.173	−0.907	0.851	1.754	0.920	0.851
126	−1.113	−0.866	0.851	1.685	0.897	0.851
127	−1.045	−0.820	0.851	1.609	0.872	0.851
128	−0.969	−0.770	0.851	1.521	0.842	0.851
129	−0.890	−0.719	0.851	1.428	0.811	0.851
130	−0.808	−0.666	0.851	1.332	0.779	0.851
131	−0.722	−0.611	0.851	1.231	0.745	0.851
132	−0.632	−0.553	0.851	1.127	0.710	0.851
133	−0.538	−0.494	0.851	1.019	0.673	0.851
134	−0.441	−0.433	0.851	0.906	0.634	0.851
135	−0.340	−0.370	0.851	0.791	0.593	0.851
136	−0.236	−0.306	0.851	0.671	0.550	0.851
137	−0.131	−0.241	0.851	0.552	0.505	0.851
138	−0.027	−0.177	0.851	0.433	0.460	0.851
139	0.078	−0.113	0.851	0.315	0.413	0.851
140	0.184	−0.050	0.851	0.197	0.365	0.851
141	0.289	0.013	0.851	0.080	0.314	0.851
142	0.395	0.076	0.851	−0.035	0.261	0.851
143	0.501	0.138	0.851	−0.150	0.206	0.851
144	0.607	0.199	0.851	−0.263	0.148	0.851
145	0.714	0.260	0.851	−0.374	0.086	0.851
146	0.821	0.321	0.851	−0.483	0.021	0.851
147	0.929	0.380	0.851	−0.590	−0.048	0.851
148	1.033	0.437	0.851	−0.690	−0.119	0.851
149	1.134	0.491	0.851	−0.784	−0.192	0.851
150	1.232	0.543	0.851	−0.871	−0.266	0.851
151	1.326	0.592	0.851	−0.952	−0.341	0.851
152	1.417	0.639	0.851	−1.027	−0.416	0.851
153	1.505	0.684	0.851	−1.095	−0.491	0.851
154	1.589	0.726	0.851	−1.158	−0.566	0.851
155	1.669	0.766	0.851	−1.216	−0.639	0.851
156	1.739	0.801	0.851	−1.267	−0.707	0.851
157	1.802	0.831	0.851	−1.310	−0.769	0.851
158	1.861	0.860	0.851	−1.348	−0.826	0.851
159	1.916	0.887	0.851	−1.382	−0.879	0.851
160	1.964	0.910	0.851	−1.411	−0.926	0.851
161	2.001	0.928	0.851	−1.433	−0.963	0.851
162	2.030	0.942	0.851	−1.449	−0.993	0.851
163	2.053	0.952	0.851	−1.455	−1.017	0.851
164	2.066	0.964	0.851	−1.454	−1.036	0.851
165	2.071	0.978	0.851	−1.451	−1.046	0.851
166	2.071	0.986	0.851	−1.447	−1.052	0.851
167	2.070	0.991	0.851	−1.445	−1.054	0.851
168	2.070	0.992	0.851	−1.444	−1.055	0.851
169	−1.476	−1.065	1.588	2.065	0.975	1.588
170	−1.475	−1.066	1.588	2.065	0.977	1.588
171	−1.474	−1.067	1.588	2.064	0.979	1.588
172	−1.471	−1.069	1.588	2.061	0.983	1.588
173	−1.465	−1.071	1.588	2.055	0.989	1.588
174	−1.455	−1.072	1.588	2.042	0.995	1.588
175	−1.437	−1.069	1.588	2.023	0.992	1.588
176	−1.415	−1.058	1.588	1.999	0.984	1.588
177	−1.388	−1.039	1.588	1.967	0.973	1.588
178	−1.356	−1.013	1.588	1.927	0.960	1.588
179	−1.314	−0.980	1.588	1.874	0.942	1.588
180	−1.265	−0.942	1.588	1.814	0.922	1.588
181	−1.213	−0.902	1.588	1.750	0.900	1.588
182	−1.153	−0.858	1.588	1.682	0.877	1.588
183	−1.087	−0.809	1.588	1.606	0.851	1.588
184	−1.013	−0.756	1.588	1.518	0.821	1.588
185	−0.935	−0.702	1.588	1.425	0.789	1.588
186	−0.854	−0.647	1.588	1.329	0.756	1.588
187	−0.768	−0.590	1.588	1.229	0.721	1.588
188	−0.678	−0.531	1.588	1.125	0.685	1.588
189	−0.585	−0.471	1.588	1.017	0.647	1.588
190	−0.487	−0.409	1.588	0.906	0.607	1.588
191	−0.386	−0.346	1.588	0.790	0.565	1.588
192	−0.280	−0.282	1.588	0.671	0.520	1.588
193	−0.175	−0.218	1.588	0.553	0.475	1.588
194	−0.068	−0.155	1.588	0.435	0.428	1.588
195	0.038	−0.092	1.588	0.317	0.380	1.588
196	0.145	−0.031	1.588	0.200	0.330	1.588
197	0.253	0.030	1.588	0.084	0.278	1.588
198	0.361	0.091	1.588	−0.031	0.224	1.588
199	0.469	0.150	1.588	−0.145	0.168	1.588
200	0.577	0.209	1.588	−0.257	0.109	1.588
201	0.686	0.268	1.588	−0.368	0.047	1.588
202	0.796	0.325	1.588	−0.477	−0.019	1.588
203	0.905	0.382	1.588	−0.584	−0.087	1.588
204	1.012	0.437	1.588	−0.685	−0.158	1.588
205	1.115	0.489	1.588	−0.779	−0.229	1.588
206	1.214	0.538	1.588	−0.868	−0.301	1.588
207	1.310	0.586	1.588	−0.951	−0.374	1.588
208	1.403	0.631	1.588	−1.028	−0.447	1.588
209	1.492	0.674	1.588	−1.099	−0.519	1.588
210	1.577	0.715	1.588	−1.165	−0.591	1.588
211	1.659	0.754	1.588	−1.226	−0.661	1.588
212	1.729	0.787	1.588	−1.280	−0.727	1.588
213	1.793	0.817	1.588	−1.327	−0.787	1.588
214	1.853	0.845	1.588	−1.367	−0.841	1.588
215	1.909	0.871	1.588	−1.404	−0.893	1.588
216	1.957	0.894	1.588	−1.436	−0.938	1.588
217	1.995	0.911	1.588	−1.459	−0.973	1.588
218	2.025	0.925	1.588	−1.477	−1.002	1.588
219	2.047	0.935	1.588	−1.486	−1.026	1.588
220	2.062	0.946	1.588	−1.486	−1.045	1.588
221	2.067	0.959	1.588	−1.483	−1.055	1.588
222	2.067	0.967	1.588	−1.480	−1.061	1.588
223	2.066	0.972	1.588	−1.478	−1.064	1.588
224	2.066	0.974	1.588	−1.477	−1.065	1.588
225	−1.489	−1.069	1.993	2.060	0.965	1.993
226	−1.488	−1.069	1.993	2.060	0.966	1.993
227	−1.487	−1.070	1.993	2.059	0.968	1.993
228	−1.484	−1.072	1.993	2.056	0.972	1.993
229	−1.478	−1.074	1.993	2.050	0.978	1.993
230	−1.468	−1.075	1.993	2.036	0.984	1.993
231	−1.450	−1.071	1.993	2.018	0.981	1.993
232	−1.428	−1.060	1.993	1.994	0.973	1.993
233	−1.402	−1.040	1.993	1.962	0.962	1.993
234	−1.370	−1.014	1.993	1.922	0.948	1.993
235	−1.328	−0.980	1.993	1.870	0.931	1.993
236	−1.280	−0.941	1.993	1.809	0.910	1.993
237	−1.228	−0.901	1.993	1.745	0.888	1.993
238	−1.169	−0.856	1.993	1.677	0.865	1.993
239	−1.103	−0.806	1.993	1.601	0.839	1.993
240	−1.029	−0.753	1.993	1.513	0.808	1.993
241	−0.952	−0.698	1.993	1.421	0.777	1.993
242	−0.870	−0.642	1.993	1.326	0.743	1.993
243	−0.785	−0.585	1.993	1.226	0.708	1.993
244	−0.696	−0.526	1.993	1.122	0.672	1.993
245	−0.602	−0.465	1.993	1.014	0.633	1.993
246	−0.505	−0.403	1.993	0.903	0.593	1.993
247	−0.403	−0.340	1.993	0.788	0.551	1.993
248	−0.297	−0.276	1.993	0.669	0.506	1.993
249	−0.191	−0.212	1.993	0.550	0.460	1.993
250	−0.085	−0.149	1.993	0.433	0.413	1.993
251	0.022	−0.087	1.993	0.315	0.365	1.993
252	0.130	−0.026	1.993	0.199	0.315	1.993
253	0.238	0.034	1.993	0.083	0.263	1.993
254	0.346	0.094	1.993	−0.032	0.209	1.993
255	0.455	0.153	1.993	−0.146	0.152	1.993
256	0.564	0.211	1.993	−0.258	0.093	1.993
257	0.673	0.269	1.993	−0.369	0.032	1.993
258	0.783	0.326	1.993	−0.478	−0.033	1.993
259	0.893	0.382	1.993	−0.585	−0.102	1.993
260	1.000	0.435	1.993	−0.686	−0.172	1.993
261	1.104	0.487	1.993	−0.781	−0.243	1.993
262	1.204	0.535	1.993	−0.870	−0.314	1.993
263	1.300	0.582	1.993	−0.953	−0.386	1.993
264	1.393	0.626	1.993	−1.030	−0.458	1.993
265	1.483	0.669	1.993	−1.102	−0.530	1.993
266	1.569	0.709	1.993	−1.169	−0.600	1.993
267	1.651	0.747	1.993	−1.232	−0.670	1.993
268	1.722	0.780	1.993	−1.286	−0.734	1.993
269	1.786	0.810	1.993	−1.334	−0.793	1.993
270	1.846	0.837	1.993	−1.375	−0.847	1.993
271	1.902	0.863	1.993	−1.413	−0.898	1.993
272	1.951	0.885	1.993	−1.445	−0.943	1.993
273	1.988	0.902	1.993	−1.469	−0.977	1.993
274	2.018	0.915	1.993	−1.488	−1.006	1.993
275	2.041	0.925	1.993	−1.497	−1.029	1.993
276	2.056	0.936	1.993	−1.499	−1.048	1.993
277	2.062	0.949	1.993	−1.496	−1.058	1.993
278	2.062	0.957	1.993	−1.493	−1.064	1.993
279	2.061	0.962	1.993	−1.491	−1.067	1.993
280	2.061	0.964	1.993	−1.490	−1.068	1.993
281	−1.500	−1.073	2.494	2.059	0.954	2.494
282	−1.499	−1.074	2.494	2.059	0.955	2.494
283	−1.498	−1.075	2.494	2.058	0.957	2.494
284	−1.495	−1.077	2.494	2.055	0.961	2.494
285	−1.489	−1.079	2.494	2.049	0.967	2.494
286	−1.479	−1.079	2.494	2.035	0.972	2.494
287	−1.461	−1.075	2.494	2.017	0.969	2.494
288	−1.439	−1.063	2.494	1.992	0.961	2.494
289	−1.413	−1.042	2.494	1.960	0.950	2.494
290	−1.381	−1.016	2.494	1.920	0.937	2.494
291	−1.339	−0.982	2.494	1.868	0.919	2.494
292	−1.291	−0.944	2.494	1.808	0.899	2.494
293	−1.239	−0.903	2.494	1.743	0.877	2.494
294	−1.180	−0.859	2.494	1.675	0.854	2.494
295	−1.113	−0.810	2.494	1.599	0.829	2.494
296	−1.039	−0.757	2.494	1.511	0.799	2.494
297	−0.962	−0.702	2.494	1.419	0.767	2.494
298	−0.880	−0.646	2.494	1.323	0.734	2.494
299	−0.794	−0.589	2.494	1.223	0.700	2.494
300	−0.704	−0.530	2.494	1.119	0.663	2.494
301	−0.611	−0.470	2.494	1.011	0.625	2.494
302	−0.513	−0.408	2.494	0.899	0.585	2.494
303	−0.411	−0.345	2.494	0.784	0.543	2.494
304	−0.305	−0.281	2.494	0.665	0.499	2.494
305	−0.199	−0.218	2.494	0.546	0.454	2.494
306	−0.092	−0.155	2.494	0.428	0.407	2.494
307	0.015	−0.093	2.494	0.310	0.359	2.494
308	0.123	−0.032	2.494	0.193	0.309	2.494
309	0.231	0.028	2.494	0.077	0.257	2.494
310	0.340	0.087	2.494	−0.038	0.203	2.494
311	0.449	0.146	2.494	−0.151	0.147	2.494
312	0.558	0.204	2.494	−0.264	0.088	2.494
313	0.668	0.262	2.494	−0.375	0.026	2.494
314	0.778	0.318	2.494	−0.484	−0.039	2.494
315	0.889	0.374	2.494	−0.591	−0.108	2.494
316	0.996	0.427	2.494	−0.692	−0.177	2.494
317	1.099	0.478	2.494	−0.787	−0.248	2.494
318	1.200	0.527	2.494	−0.876	−0.320	2.494
319	1.296	0.573	2.494	−0.959	−0.392	2.494
320	1.390	0.618	2.494	−1.037	−0.464	2.494
321	1.479	0.660	2.494	−1.110	−0.535	2.494
322	1.565	0.700	2.494	−1.177	−0.606	2.494
323	1.648	0.738	2.494	−1.239	−0.675	2.494
324	1.719	0.771	2.494	−1.294	−0.739	2.494
325	1.783	0.800	2.494	−1.342	−0.799	2.494
326	1.843	0.827	2.494	−1.384	−0.852	2.494
327	1.900	0.852	2.494	−1.422	−0.903	2.494
328	1.948	0.874	2.494	−1.454	−0.948	2.494
329	1.986	0.891	2.494	−1.478	−0.982	2.494
330	2.016	0.905	2.494	−1.497	−1.011	2.494
331	2.039	0.915	2.494	−1.507	−1.034	2.494
332	2.054	0.925	2.494	−1.509	−1.053	2.494
333	2.060	0.938	2.494	−1.507	−1.063	2.494
334	2.061	0.946	2.494	−1.504	−1.069	2.494
335	2.060	0.951	2.494	−1.502	−1.072	2.494
336	2.060	0.953	2.494	−1.501	−1.073	2.494
337	−1.507	−1.080	2.994	2.062	0.946	2.994
338	−1.507	−1.081	2.994	2.061	0.947	2.994
339	−1.505	−1.082	2.994	2.060	0.949	2.994
340	−1.503	−1.084	2.994	2.058	0.953	2.994
341	−1.496	−1.086	2.994	2.051	0.959	2.994
342	−1.486	−1.086	2.994	2.038	0.964	2.994
343	−1.468	−1.081	2.994	2.019	0.960	2.994
344	−1.447	−1.069	2.994	1.995	0.952	2.994
345	−1.421	−1.048	2.994	1.963	0.942	2.994
346	−1.389	−1.022	2.994	1.922	0.929	2.994
347	−1.347	−0.989	2.994	1.870	0.912	2.994
348	−1.298	−0.950	2.994	1.809	0.892	2.994
349	−1.245	−0.910	2.994	1.744	0.871	2.994
350	−1.185	−0.866	2.994	1.676	0.849	2.994
351	−1.119	−0.817	2.994	1.599	0.823	2.994
352	−1.044	−0.765	2.994	1.511	0.794	2.994
353	−0.966	−0.711	2.994	1.418	0.763	2.994
354	−0.884	−0.655	2.994	1.321	0.731	2.994
355	−0.798	−0.598	2.994	1.221	0.697	2.994
356	−0.707	−0.540	2.994	1.116	0.662	2.994
357	−0.613	−0.480	2.994	1.008	0.624	2.994
358	−0.515	−0.419	2.994	0.895	0.585	2.994
359	−0.412	−0.357	2.994	0.779	0.544	2.994
360	−0.306	−0.293	2.994	0.660	0.500	2.994
361	−0.200	−0.229	2.994	0.540	0.455	2.994
362	−0.092	−0.167	2.994	0.422	0.409	2.994
363	0.015	−0.105	2.994	0.304	0.361	2.994
364	0.123	−0.044	2.994	0.186	0.311	2.994
365	0.231	0.016	2.994	0.070	0.259	2.994
366	0.340	0.076	2.994	−0.045	0.205	2.994
367	0.449	0.135	2.994	−0.160	0.149	2.994
368	0.559	0.193	2.994	−0.272	0.090	2.994
369	0.669	0.251	2.994	−0.383	0.027	2.994
370	0.779	0.308	2.994	−0.493	−0.038	2.994
371	0.889	0.364	2.994	−0.600	−0.108	2.994
372	0.997	0.417	2.994	−0.701	−0.178	2.994
373	1.101	0.468	2.994	−0.796	−0.250	2.994
374	1.201	0.517	2.994	−0.885	−0.322	2.994
375	1.298	0.564	2.994	−0.968	−0.394	2.994
376	1.391	0.608	2.994	−1.045	−0.467	2.994
377	1.481	0.651	2.994	−1.117	−0.539	2.994
378	1.567	0.691	2.994	−1.184	−0.610	2.994
379	1.649	0.729	2.994	−1.247	−0.680	2.994
380	1.721	0.762	2.994	−1.301	−0.745	2.994
381	1.785	0.791	2.994	−1.349	−0.804	2.994
382	1.845	0.819	2.994	−1.391	−0.858	2.994
383	1.902	0.844	2.994	−1.428	−0.909	2.994
384	1.951	0.866	2.994	−1.460	−0.954	2.994
385	1.988	0.883	2.994	−1.484	−0.989	2.994
386	2.018	0.897	2.994	−1.503	−1.018	2.994
387	2.041	0.907	2.994	−1.514	−1.041	2.994
388	2.057	0.917	2.994	−1.517	−1.060	2.994
389	2.063	0.929	2.994	−1.514	−1.070	2.994
390	2.064	0.938	2.994	−1.511	−1.076	2.994
391	2.063	0.942	2.994	−1.509	−1.079	2.994
392	2.062	0.944	2.994	−1.508	−1.080	2.994
393	−1.521	−1.099	3.861	2.072	0.937	3.861
394	−1.520	−1.100	3.861	2.071	0.938	3.861
395	−1.519	−1.101	3.861	2.070	0.940	3.861
396	−1.516	−1.102	3.861	2.068	0.944	3.861
397	−1.510	−1.104	3.861	2.061	0.950	3.861
398	−1.499	−1.104	3.861	2.047	0.955	3.861
399	−1.482	−1.099	3.861	2.029	0.951	3.861
400	−1.461	−1.085	3.861	2.004	0.944	3.861
401	−1.435	−1.065	3.861	1.971	0.933	3.861
402	−1.402	−1.039	3.861	1.931	0.921	3.861
403	−1.360	−1.005	3.861	1.877	0.904	3.861
404	−1.311	−0.967	3.861	1.816	0.885	3.861
405	−1.257	−0.927	3.861	1.751	0.865	3.861
406	−1.197	−0.883	3.861	1.681	0.843	3.861
407	−1.129	−0.834	3.861	1.604	0.819	3.861
408	−1.054	−0.782	3.861	1.514	0.791	3.861
409	−0.975	−0.728	3.861	1.420	0.761	3.861
410	−0.892	−0.673	3.861	1.322	0.730	3.861
411	−0.805	−0.616	3.861	1.221	0.698	3.861
412	−0.714	−0.558	3.861	1.115	0.663	3.861
413	−0.618	−0.499	3.861	1.005	0.627	3.861
414	−0.519	−0.438	3.861	0.892	0.588	3.861
415	−0.416	−0.376	3.861	0.775	0.547	3.861
416	−0.309	−0.312	3.861	0.654	0.504	3.861
417	−0.201	−0.249	3.861	0.534	0.459	3.861
418	−0.093	−0.186	3.861	0.414	0.413	3.861
419	0.015	−0.124	3.861	0.295	0.365	3.861
420	0.124	−0.063	3.861	0.177	0.315	3.861
421	0.233	−0.002	3.861	0.060	0.262	3.861
422	0.342	0.058	3.861	−0.056	0.207	3.861
423	0.452	0.117	3.861	−0.171	0.150	3.861
424	0.562	0.176	3.861	−0.284	0.089	3.861
425	0.672	0.234	3.861	−0.396	0.026	3.861
426	0.783	0.291	3.861	−0.505	−0.041	3.861
427	0.894	0.348	3.861	−0.612	−0.112	3.861
428	1.002	0.402	3.861	−0.713	−0.184	3.861
429	1.106	0.454	3.861	−0.808	−0.257	3.861
430	1.207	0.503	3.861	−0.897	−0.331	3.861
431	1.304	0.551	3.861	−0.980	−0.405	3.861
432	1.398	0.595	3.861	−1.057	−0.479	3.861
433	1.488	0.638	3.861	−1.129	−0.552	3.861
434	1.574	0.679	3.861	−1.196	−0.624	3.861
435	1.657	0.717	3.861	−1.258	−0.694	3.861
436	1.729	0.751	3.861	−1.313	−0.760	3.861
437	1.793	0.780	3.861	−1.361	−0.821	3.861
438	1.854	0.808	3.861	−1.402	−0.875	3.861
439	1.910	0.834	3.861	−1.440	−0.927	3.861
440	1.960	0.856	3.861	−1.472	−0.973	3.861
441	1.997	0.874	3.861	−1.496	−1.008	3.861
442	2.028	0.887	3.861	−1.515	−1.037	3.861
443	2.050	0.898	3.861	−1.526	−1.059	3.861
444	2.066	0.907	3.861	−1.530	−1.078	3.861
445	2.073	0.920	3.861	−1.528	−1.089	3.861
446	2.074	0.928	3.861	−1.525	−1.095	3.861
447	2.073	0.933	3.861	−1.523	−1.097	3.861
448	2.072	0.935	3.861	−1.522	−1.099	3.861
449	−1.527	−1.108	4.279	2.071	0.931	4.279
450	−1.527	−1.109	4.279	2.071	0.933	4.279
451	−1.526	−1.110	4.279	2.070	0.935	4.279
452	−1.523	−1.111	4.279	2.067	0.939	4.279
453	−1.516	−1.113	4.279	2.061	0.945	4.279
454	−1.506	−1.113	4.279	2.047	0.950	4.279
455	−1.488	−1.107	4.279	2.028	0.946	4.279
456	−1.467	−1.093	4.279	2.004	0.938	4.279
457	−1.442	−1.071	4.279	1.971	0.928	4.279
458	−1.410	−1.045	4.279	1.930	0.916	4.279
459	−1.368	−1.011	4.279	1.877	0.899	4.279
460	−1.319	−0.972	4.279	1.815	0.880	4.279
461	−1.266	−0.931	4.279	1.750	0.860	4.279
462	−1.206	−0.886	4.279	1.681	0.838	4.279
463	−1.139	−0.837	4.279	1.603	0.814	4.279
464	−1.064	−0.783	4.279	1.513	0.786	4.279
465	−0.985	−0.729	4.279	1.419	0.756	4.279
466	−0.903	−0.673	4.279	1.321	0.725	4.279
467	−0.816	−0.616	4.279	1.220	0.692	4.279
468	−0.725	−0.557	4.279	1.114	0.657	4.279
469	−0.629	−0.497	4.279	1.004	0.621	4.279
470	−0.530	−0.436	4.279	0.891	0.582	4.279
471	−0.427	−0.373	4.279	0.774	0.541	4.279
472	−0.319	−0.310	4.279	0.653	0.497	4.279
473	−0.211	−0.246	4.279	0.533	0.452	4.279
474	−0.103	−0.184	4.279	0.413	0.405	4.279
475	0.006	−0.122	4.279	0.295	0.356	4.279
476	0.115	−0.061	4.279	0.177	0.305	4.279
477	0.224	−0.001	4.279	0.060	0.252	4.279
478	0.334	0.059	4.279	−0.056	0.197	4.279
479	0.444	0.118	4.279	−0.171	0.139	4.279
480	0.555	0.176	4.279	−0.284	0.078	4.279
481	0.665	0.234	4.279	−0.395	0.014	4.279
482	0.777	0.291	4.279	−0.504	−0.054	4.279
483	0.888	0.347	4.279	−0.611	−0.125	4.279
484	0.997	0.401	4.279	−0.712	−0.197	4.279
485	1.101	0.452	4.279	−0.807	−0.270	4.279
486	1.203	0.501	4.279	−0.896	−0.344	4.279
487	1.300	0.548	4.279	−0.979	−0.418	4.279
488	1.394	0.592	4.279	−1.057	−0.491	4.279
489	1.485	0.635	4.279	−1.130	−0.564	4.279
490	1.572	0.675	4.279	−1.197	−0.636	4.279
491	1.655	0.714	4.279	−1.260	−0.706	4.279
492	1.727	0.747	4.279	−1.315	−0.771	4.279
493	1.791	0.776	4.279	−1.363	−0.831	4.279
494	1.852	0.804	4.279	−1.405	−0.886	4.279
495	1.909	0.829	4.279	−1.443	−0.937	4.279
496	1.958	0.852	4.279	−1.476	−0.982	4.279
497	1.996	0.869	4.279	−1.500	−1.018	4.279
498	2.027	0.883	4.279	−1.519	−1.046	4.279
499	2.049	0.893	4.279	−1.532	−1.068	4.279
500	2.065	0.902	4.279	−1.536	−1.087	4.279
501	2.072	0.915	4.279	−1.534	−1.097	4.279
502	2.073	0.923	4.279	−1.531	−1.104	4.279
503	2.072	0.928	4.279	−1.529	−1.106	4.279
504	2.072	0.930	4.279	−1.528	−1.107	4.279
505	−1.534	−1.119	4.919	2.061	0.921	4.919
506	−1.533	−1.120	4.919	2.061	0.922	4.919
507	−1.532	−1.121	4.919	2.060	0.924	4.919
508	−1.529	−1.122	4.919	2.057	0.928	4.919
509	−1.523	−1.124	4.919	2.051	0.934	4.919
510	−1.512	−1.123	4.919	2.037	0.939	4.919
511	−1.495	−1.117	4.919	2.018	0.935	4.919
512	−1.475	−1.102	4.919	1.994	0.927	4.919
513	−1.450	−1.079	4.919	1.961	0.917	4.919
514	−1.419	−1.052	4.919	1.921	0.904	4.919
515	−1.378	−1.016	4.919	1.868	0.887	4.919
516	−1.330	−0.976	4.919	1.807	0.868	4.919
517	−1.279	−0.934	4.919	1.742	0.847	4.919
518	−1.220	−0.887	4.919	1.673	0.825	4.919
519	−1.154	−0.836	4.919	1.595	0.800	4.919
520	−1.081	−0.781	4.919	1.506	0.772	4.919
521	−1.003	−0.724	4.919	1.413	0.741	4.919
522	−0.922	−0.666	4.919	1.316	0.709	4.919
523	−0.836	−0.607	4.919	1.214	0.676	4.919
524	−0.746	−0.547	4.919	1.109	0.640	4.919
525	−0.651	−0.486	4.919	1.000	0.603	4.919
526	−0.553	−0.424	4.919	0.888	0.563	4.919
527	−0.450	−0.361	4.919	0.771	0.521	4.919
528	−0.342	−0.296	4.919	0.651	0.476	4.919
529	−0.235	−0.233	4.919	0.532	0.430	4.919
530	−0.126	−0.170	4.919	0.413	0.382	4.919
531	−0.017	−0.109	4.919	0.295	0.333	4.919
532	0.092	−0.049	4.919	0.178	0.281	4.919
533	0.202	0.011	4.919	0.062	0.227	4.919
534	0.312	0.070	4.919	−0.053	0.171	4.919
535	0.423	0.128	4.919	−0.167	0.112	4.919
536	0.534	0.185	4.919	−0.279	0.050	4.919
537	0.646	0.241	4.919	−0.389	−0.014	4.919
538	0.758	0.297	4.919	−0.498	−0.082	4.919
539	0.870	0.352	4.919	−0.604	−0.153	4.919
540	0.979	0.404	4.919	−0.705	−0.225	4.919
541	1.085	0.454	4.919	−0.800	−0.297	4.919
542	1.187	0.501	4.919	−0.889	−0.370	4.919
543	1.285	0.547	4.919	−0.973	−0.442	4.919
544	1.380	0.590	4.919	−1.052	−0.515	4.919
545	1.471	0.632	4.919	−1.125	−0.586	4.919
546	1.558	0.671	4.919	−1.194	−0.656	4.919
547	1.642	0.709	4.919	−1.257	−0.725	4.919
548	1.714	0.741	4.919	−1.314	−0.789	4.919
549	1.779	0.769	4.919	−1.363	−0.848	4.919
550	1.840	0.796	4.919	−1.406	−0.901	4.919
551	1.898	0.821	4.919	−1.446	−0.952	4.919
552	1.947	0.843	4.919	−1.479	−0.996	4.919
553	1.985	0.859	4.919	−1.504	−1.030	4.919
554	2.016	0.873	4.919	−1.524	−1.058	4.919
555	2.039	0.883	4.919	−1.538	−1.080	4.919
556	2.055	0.892	4.919	−1.542	−1.098	4.919
557	2.062	0.904	4.919	−1.541	−1.109	4.919
558	2.063	0.913	4.919	−1.538	−1.115	4.919
559	2.062	0.918	4.919	−1.536	−1.118	4.919
560	2.062	0.920	4.919	−1.535	−1.119	4.919
561	−1.529	−1.128	5.620	2.050	0.906	5.620
562	−1.528	−1.128	5.620	2.050	0.908	5.620
563	−1.527	−1.129	5.620	2.049	0.910	5.620
564	−1.524	−1.131	5.620	2.046	0.914	5.620
565	−1.517	−1.132	5.620	2.040	0.920	5.620
566	−1.507	−1.132	5.620	2.026	0.924	5.620
567	−1.490	−1.124	5.620	2.008	0.920	5.620
568	−1.470	−1.109	5.620	1.983	0.912	5.620
569	−1.446	−1.086	5.620	1.951	0.902	5.620
570	−1.415	−1.058	5.620	1.910	0.889	5.620
571	−1.375	−1.022	5.620	1.858	0.873	5.620
572	−1.329	−0.981	5.620	1.797	0.854	5.620
573	−1.278	−0.938	5.620	1.732	0.833	5.620
574	−1.221	−0.890	5.620	1.663	0.811	5.620
575	−1.156	−0.838	5.620	1.587	0.787	5.620
576	−1.084	−0.782	5.620	1.498	0.758	5.620
577	−1.007	−0.724	5.620	1.405	0.728	5.620
578	−0.927	−0.665	5.620	1.308	0.696	5.620
579	−0.842	−0.605	5.620	1.207	0.663	5.620
580	−0.753	−0.544	5.620	1.103	0.627	5.620
581	−0.660	−0.482	5.620	0.994	0.590	5.620
582	−0.562	−0.419	5.620	0.882	0.550	5.620
583	−0.460	−0.356	5.620	0.767	0.508	5.620
584	−0.353	−0.291	5.620	0.648	0.463	5.620
585	−0.246	−0.228	5.620	0.529	0.416	5.620
586	−0.138	−0.165	5.620	0.411	0.368	5.620
587	−0.029	−0.104	5.620	0.294	0.318	5.620
588	0.080	−0.044	5.620	0.178	0.266	5.620
589	0.190	0.015	5.620	0.063	0.212	5.620
590	0.300	0.073	5.620	−0.051	0.155	5.620
591	0.411	0.130	5.620	−0.164	0.096	5.620
592	0.522	0.187	5.620	−0.275	0.034	5.620
593	0.633	0.242	5.620	−0.385	−0.031	5.620
594	0.745	0.297	5.620	−0.493	−0.099	5.620
595	0.858	0.351	5.620	−0.598	−0.170	5.620
596	0.967	0.402	5.620	−0.698	−0.242	5.620
597	1.072	0.451	5.620	−0.793	−0.314	5.620
598	1.174	0.497	5.620	−0.882	−0.387	5.620
599	1.273	0.542	5.620	−0.965	−0.459	5.620
600	1.368	0.584	5.620	−1.044	−0.530	5.620
601	1.459	0.625	5.620	−1.117	−0.601	5.620
602	1.546	0.663	5.620	−1.186	−0.670	5.620
603	1.630	0.700	5.620	−1.250	−0.738	5.620
604	1.702	0.731	5.620	−1.306	−0.801	5.620
605	1.767	0.759	5.620	−1.356	−0.859	5.620
606	1.828	0.785	5.620	−1.399	−0.912	5.620
607	1.886	0.809	5.620	−1.439	−0.962	5.620
608	1.936	0.830	5.620	−1.473	−1.006	5.620
609	1.974	0.846	5.620	−1.498	−1.040	5.620
610	2.004	0.859	5.620	−1.518	−1.067	5.620
611	2.027	0.869	5.620	−1.532	−1.088	5.620
612	2.044	0.878	5.620	−1.537	−1.107	5.620
613	2.051	0.890	5.620	−1.535	−1.117	5.620
614	2.052	0.898	5.620	−1.533	−1.123	5.620
615	2.051	0.903	5.620	−1.531	−1.126	5.620
616	2.051	0.905	5.620	−1.529	−1.127	5.620
617	−1.497	−1.126	6.398	2.017	0.882	6.398
618	−1.496	−1.126	6.398	2.016	0.884	6.398
619	−1.495	−1.127	6.398	2.015	0.886	6.398
620	−1.492	−1.129	6.398	2.013	0.890	6.398
621	−1.485	−1.130	6.398	2.006	0.895	6.398
622	−1.475	−1.130	6.398	1.993	0.900	6.398
623	−1.458	−1.123	6.398	1.974	0.896	6.398
624	−1.439	−1.107	6.398	1.950	0.889	6.398
625	−1.416	−1.085	6.398	1.918	0.879	6.398
626	−1.386	−1.057	6.398	1.878	0.867	6.398
627	−1.347	−1.021	6.398	1.826	0.851	6.398
628	−1.301	−0.980	6.398	1.767	0.833	6.398
629	−1.252	−0.937	6.398	1.703	0.813	6.398
630	−1.196	−0.889	6.398	1.635	0.792	6.398
631	−1.133	−0.838	6.398	1.559	0.769	6.398
632	−1.062	−0.782	6.398	1.471	0.742	6.398
633	−0.988	−0.725	6.398	1.379	0.713	6.398
634	−0.909	−0.666	6.398	1.284	0.682	6.398
635	−0.826	−0.606	6.398	1.185	0.650	6.398
636	−0.739	−0.546	6.398	1.081	0.616	6.398
637	−0.647	−0.485	6.398	0.975	0.579	6.398
638	−0.551	−0.423	6.398	0.864	0.540	6.398
639	−0.451	−0.360	6.398	0.750	0.499	6.398
640	−0.346	−0.296	6.398	0.633	0.455	6.398
641	−0.241	−0.234	6.398	0.517	0.409	6.398
642	−0.135	−0.172	6.398	0.401	0.361	6.398
643	−0.028	−0.112	6.398	0.286	0.311	6.398
644	0.079	−0.053	6.398	0.171	0.260	6.398
645	0.187	0.006	6.398	0.058	0.205	6.398
646	0.295	0.063	6.398	−0.053	0.149	6.398
647	0.404	0.119	6.398	−0.164	0.090	6.398
648	0.513	0.175	6.398	−0.273	0.028	6.398
649	0.623	0.230	6.398	−0.380	−0.037	6.398
650	0.733	0.284	6.398	−0.486	−0.105	6.398
651	0.843	0.337	6.398	−0.589	−0.176	6.398
652	0.950	0.388	6.398	−0.686	−0.248	6.398
653	1.054	0.436	6.398	−0.779	−0.320	6.398
654	1.154	0.482	6.398	−0.865	−0.392	6.398
655	1.251	0.526	6.398	−0.947	−0.464	6.398
656	1.344	0.567	6.398	−1.024	−0.535	6.398
657	1.434	0.607	6.398	−1.096	−0.604	6.398
658	1.520	0.644	6.398	−1.163	−0.673	6.398
659	1.603	0.680	6.398	−1.225	−0.741	6.398
660	1.674	0.710	6.398	−1.280	−0.804	6.398
661	1.738	0.738	6.398	−1.329	−0.861	6.398
662	1.798	0.763	6.398	−1.371	−0.913	6.398
663	1.854	0.787	6.398	−1.410	−0.962	6.398
664	1.903	0.808	6.398	−1.443	−1.005	6.398
665	1.941	0.824	6.398	−1.467	−1.039	6.398
666	1.971	0.836	6.398	−1.487	−1.066	6.398
667	1.994	0.846	6.398	−1.500	−1.087	6.398
668	2.010	0.854	6.398	−1.505	−1.105	6.398
669	2.017	0.866	6.398	−1.503	−1.116	6.398
670	2.018	0.874	6.398	−1.501	−1.122	6.398
671	2.017	0.879	6.398	−1.498	−1.124	6.398
672	2.017	0.881	6.398	−1.497	−1.125	6.398
673	−1.458	−1.118	7.152	1.964	0.853	7.152
674	−1.457	−1.119	7.152	1.963	0.854	7.152
675	−1.456	−1.120	7.152	1.963	0.856	7.152
676	−1.453	−1.121	7.152	1.960	0.860	7.152
677	−1.447	−1.123	7.152	1.954	0.865	7.152
678	−1.437	−1.122	7.152	1.941	0.870	7.152
679	−1.420	−1.115	7.152	1.923	0.866	7.152
680	−1.402	−1.100	7.152	1.899	0.859	7.152
681	−1.379	−1.078	7.152	1.868	0.850	7.152
682	−1.351	−1.050	7.152	1.829	0.838	7.152
683	−1.313	−1.014	7.152	1.778	0.823	7.152
684	−1.270	−0.972	7.152	1.720	0.805	7.152
685	−1.223	−0.929	7.152	1.657	0.786	7.152
686	−1.169	−0.882	7.152	1.591	0.766	7.152
687	−1.109	−0.830	7.152	1.517	0.744	7.152
688	−1.041	−0.774	7.152	1.431	0.717	7.152
689	−0.969	−0.717	7.152	1.342	0.689	7.152
690	−0.893	−0.658	7.152	1.248	0.660	7.152
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693	−0.639	−0.478	7.152	0.947	0.559	7.152
694	−0.546	−0.417	7.152	0.839	0.520	7.152
695	−0.449	−0.355	7.152	0.728	0.480	7.152
696	−0.347	−0.292	7.152	0.614	0.436	7.152
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698	−0.141	−0.170	7.152	0.388	0.343	7.152
699	−0.037	−0.111	7.152	0.276	0.294	7.152
700	0.068	−0.052	7.152	0.165	0.242	7.152
701	0.173	0.005	7.152	0.055	0.189	7.152
702	0.279	0.061	7.152	−0.054	0.133	7.152
703	0.385	0.116	7.152	−0.161	0.074	7.152
704	0.492	0.170	7.152	−0.267	0.012	7.152
705	0.599	0.223	7.152	−0.371	−0.052	7.152
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707	0.814	0.327	7.152	−0.574	−0.189	7.152
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709	1.021	0.424	7.152	−0.758	−0.331	7.152
710	1.119	0.468	7.152	−0.842	−0.402	7.152
711	1.213	0.510	7.152	−0.922	−0.472	7.152
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714	1.477	0.625	7.152	−1.131	−0.677	7.152
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716	1.628	0.688	7.152	−1.246	−0.804	7.152
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718	1.749	0.738	7.152	−1.335	−0.911	7.152
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720	1.853	0.781	7.152	−1.406	−1.001	7.152
721	1.890	0.796	7.152	−1.430	−1.033	7.152
722	1.919	0.808	7.152	−1.449	−1.059	7.152
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724	1.957	0.825	7.152	−1.466	−1.098	7.152
725	1.964	0.837	7.152	−1.464	−1.108	7.152
726	1.965	0.845	7.152	−1.461	−1.114	7.152
727	1.965	0.850	7.152	−1.459	−1.117	7.152
728	1.964	0.852	7.152	−1.458	−1.118	7.152
729	−1.414	−1.109	7.964	1.911	0.823	7.964
730	−1.413	−1.109	7.964	1.911	0.824	7.964
731	−1.412	−1.110	7.964	1.910	0.826	7.964
732	−1.409	−1.111	7.964	1.907	0.830	7.964
733	−1.403	−1.113	7.964	1.902	0.835	7.964
734	−1.393	−1.112	7.964	1.889	0.840	7.964
735	−1.377	−1.106	7.964	1.871	0.836	7.964
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737	−1.338	−1.068	7.964	1.818	0.820	7.964
738	−1.311	−1.040	7.964	1.780	0.808	7.964
739	−1.276	−1.003	7.964	1.731	0.794	7.964
740	−1.235	−0.962	7.964	1.674	0.776	7.964
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742	−1.140	−0.869	7.964	1.549	0.738	7.964
743	−1.083	−0.817	7.964	1.476	0.716	7.964
744	−1.019	−0.760	7.964	1.393	0.689	7.964
745	−0.950	−0.702	7.964	1.306	0.662	7.964
746	−0.878	−0.643	7.964	1.216	0.632	7.964
747	−0.801	−0.583	7.964	1.121	0.601	7.964
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749	−0.635	−0.461	7.964	0.923	0.532	7.964
750	−0.545	−0.399	7.964	0.818	0.494	7.964
751	−0.451	−0.337	7.964	0.711	0.453	7.964
752	−0.352	−0.274	7.964	0.600	0.410	7.964
753	−0.253	−0.213	7.964	0.490	0.364	7.964
754	−0.152	−0.154	7.964	0.380	0.317	7.964
755	−0.051	−0.095	7.964	0.272	0.268	7.964
756	0.051	−0.038	7.964	0.164	0.217	7.964
757	0.154	0.017	7.964	0.058	0.164	7.964
758	0.257	0.072	7.964	−0.047	0.108	7.964
759	0.361	0.125	7.964	−0.151	0.050	7.964
760	0.465	0.178	7.964	−0.254	−0.010	7.964
761	0.570	0.229	7.964	−0.355	−0.074	7.964
762	0.675	0.280	7.964	−0.454	−0.140	7.964
763	0.781	0.329	7.964	−0.551	−0.208	7.964
764	0.884	0.376	7.964	−0.643	−0.277	7.964
765	0.983	0.420	7.964	−0.730	−0.346	7.964
766	1.080	0.462	7.964	−0.812	−0.415	7.964
767	1.173	0.502	7.964	−0.889	−0.484	7.964
768	1.262	0.540	7.964	−0.962	−0.551	7.964
769	1.349	0.576	7.964	−1.030	−0.618	7.964
770	1.432	0.610	7.964	−1.094	−0.683	7.964
771	1.511	0.642	7.964	−1.154	−0.746	7.964
772	1.580	0.669	7.964	−1.207	−0.805	7.964
773	1.641	0.693	7.964	−1.254	−0.859	7.964
774	1.700	0.716	7.964	−1.295	−0.908	7.964
775	1.754	0.737	7.964	−1.332	−0.954	7.964
776	1.801	0.755	7.964	−1.364	−0.995	7.964
777	1.837	0.769	7.964	−1.388	−1.026	7.964
778	1.867	0.780	7.964	−1.408	−1.052	7.964
779	1.888	0.789	7.964	−1.420	−1.072	7.964
780	1.904	0.796	7.964	−1.423	−1.089	7.964
781	1.911	0.808	7.964	−1.420	−1.099	7.964
782	1.912	0.815	7.964	−1.417	−1.104	7.964
783	1.912	0.820	7.964	−1.415	−1.107	7.964
784	1.911	0.822	7.964	−1.414	−1.108	7.964
785	−1.391	−1.100	8.325	1.891	0.813	8.325
786	−1.391	−1.101	8.325	1.891	0.814	8.325
787	−1.390	−1.102	8.325	1.890	0.816	8.325
788	−1.387	−1.103	8.325	1.888	0.820	8.325
789	−1.381	−1.105	8.325	1.882	0.825	8.325
790	−1.371	−1.104	8.325	1.869	0.829	8.325
791	−1.355	−1.098	8.325	1.852	0.825	8.325
792	−1.337	−1.083	8.325	1.829	0.818	8.325
793	−1.317	−1.060	8.325	1.799	0.809	8.325
794	−1.291	−1.032	8.325	1.762	0.798	8.325
795	−1.257	−0.995	8.325	1.713	0.783	8.325
796	−1.217	−0.953	8.325	1.657	0.766	8.325
797	−1.174	−0.909	8.325	1.597	0.747	8.325
798	−1.125	−0.860	8.325	1.533	0.727	8.325
799	−1.069	−0.807	8.325	1.462	0.705	8.325
800	−1.007	−0.749	8.325	1.380	0.679	8.325
801	−0.940	−0.691	8.325	1.295	0.651	8.325
802	−0.869	−0.631	8.325	1.205	0.621	8.325
803	−0.795	−0.571	8.325	1.112	0.590	8.325
804	−0.715	−0.510	8.325	1.016	0.556	8.325
805	−0.632	−0.448	8.325	0.917	0.521	8.325
806	−0.544	−0.385	8.325	0.814	0.483	8.325
807	−0.451	−0.323	8.325	0.708	0.442	8.325
808	−0.354	−0.260	8.325	0.599	0.398	8.325
809	−0.256	−0.199	8.325	0.490	0.353	8.325
810	−0.157	−0.139	8.325	0.382	0.306	8.325
811	−0.057	−0.081	8.325	0.275	0.257	8.325
812	0.044	−0.025	8.325	0.170	0.206	8.325
813	0.146	0.030	8.325	0.065	0.152	8.325
814	0.248	0.084	8.325	−0.039	0.097	8.325
815	0.351	0.136	8.325	−0.142	0.039	8.325
816	0.454	0.188	8.325	−0.243	−0.021	8.325
817	0.559	0.238	8.325	−0.342	−0.083	8.325
818	0.663	0.287	8.325	−0.440	−0.148	8.325
819	0.768	0.335	8.325	−0.536	−0.216	8.325
820	0.870	0.381	8.325	−0.627	−0.284	8.325
821	0.969	0.424	8.325	−0.713	−0.352	8.325
822	1.065	0.465	8.325	−0.795	−0.420	8.325
823	1.157	0.503	8.325	−0.871	−0.487	8.325
824	1.246	0.540	8.325	−0.943	−0.553	8.325
825	1.332	0.574	8.325	−1.011	−0.618	8.325
826	1.415	0.607	8.325	−1.075	−0.682	8.325
827	1.494	0.638	8.325	−1.134	−0.745	8.325
828	1.562	0.664	8.325	−1.187	−0.803	8.325
829	1.623	0.687	8.325	−1.233	−0.856	8.325
830	1.681	0.709	8.325	−1.274	−0.904	8.325
831	1.735	0.729	8.325	−1.311	−0.949	8.325
832	1.782	0.747	8.325	−1.343	−0.989	8.325
833	1.818	0.760	8.325	−1.367	−1.020	8.325
834	1.847	0.771	8.325	−1.387	−1.044	8.325
835	1.868	0.779	8.325	−1.399	−1.064	8.325
836	1.884	0.786	8.325	−1.401	−1.082	8.325
837	1.891	0.798	8.325	−1.399	−1.091	8.325
838	1.892	0.805	8.325	−1.395	−1.097	8.325
839	1.892	0.810	8.325	−1.393	−1.099	8.325
840	1.892	0.812	8.325	−1.392	−1.100	8.325

In exemplary embodiments, TABLE II below contains Cartesian coordinate data of an airfoil shape 150 of an airfoil 100 of another stator vane 50, 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 stator vane 50, which is disposed in the sixth stage S6 of the compressor section 14.

TABLE II
	Pressure Side Surface	Suction Side Surface

N	X	Y	Z	X	Y	Z

1	−1.359	−1.032	0.931	1.994	0.980	0.931
2	−1.359	−1.032	0.931	1.994	0.981	0.931
3	−1.357	−1.033	0.931	1.993	0.983	0.931
4	−1.355	−1.035	0.931	1.990	0.987	0.931
5	−1.349	−1.037	0.931	1.984	0.993	0.931
6	−1.339	−1.039	0.931	1.971	0.999	0.931
7	−1.322	−1.037	0.931	1.953	0.997	0.931
8	−1.300	−1.028	0.931	1.930	0.990	0.931
9	−1.273	−1.012	0.931	1.899	0.979	0.931
10	−1.241	−0.989	0.931	1.860	0.966	0.931
11	−1.200	−0.958	0.931	1.810	0.949	0.931
12	−1.152	−0.924	0.931	1.751	0.930	0.931
13	−1.100	−0.887	0.931	1.689	0.909	0.931
14	−1.042	−0.846	0.931	1.623	0.886	0.931
15	−0.977	−0.802	0.931	1.550	0.861	0.931
16	−0.906	−0.753	0.931	1.464	0.832	0.931
17	−0.830	−0.703	0.931	1.375	0.802	0.931
18	−0.752	−0.650	0.931	1.282	0.770	0.931
19	−0.670	−0.595	0.931	1.185	0.737	0.931
20	−0.585	−0.538	0.931	1.084	0.703	0.931
21	−0.496	−0.479	0.931	0.980	0.667	0.931
22	−0.405	−0.418	0.931	0.872	0.629	0.931
23	−0.310	−0.355	0.931	0.760	0.589	0.931
24	−0.211	−0.289	0.931	0.644	0.548	0.931
25	−0.112	−0.224	0.931	0.529	0.505	0.931
26	−0.013	−0.160	0.931	0.414	0.461	0.931
27	0.086	−0.096	0.931	0.300	0.416	0.931
28	0.186	−0.033	0.931	0.186	0.369	0.931
29	0.287	0.029	0.931	0.073	0.321	0.931
30	0.388	0.091	0.931	−0.039	0.269	0.931
31	0.489	0.152	0.931	−0.149	0.216	0.931
32	0.591	0.212	0.931	−0.258	0.159	0.931
33	0.693	0.271	0.931	−0.365	0.099	0.931
34	0.795	0.330	0.931	−0.470	0.035	0.931
35	0.898	0.388	0.931	−0.573	−0.033	0.931
36	0.998	0.443	0.931	−0.669	−0.103	0.931
37	1.095	0.496	0.931	−0.758	−0.174	0.931
38	1.189	0.546	0.931	−0.842	−0.247	0.931
39	1.280	0.594	0.931	−0.918	−0.321	0.931
40	1.367	0.639	0.931	−0.989	−0.395	0.931
41	1.451	0.682	0.931	−1.053	−0.470	0.931
42	1.532	0.723	0.931	−1.111	−0.544	0.931
43	1.610	0.762	0.931	−1.164	−0.617	0.931
44	1.677	0.795	0.931	−1.210	−0.685	0.931
45	1.737	0.824	0.931	−1.249	−0.747	0.931
46	1.794	0.852	0.931	−1.282	−0.804	0.931
47	1.847	0.878	0.931	−1.312	−0.858	0.931
48	1.893	0.900	0.931	−1.337	−0.905	0.931
49	1.929	0.917	0.931	−1.355	−0.941	0.931
50	1.957	0.930	0.931	−1.369	−0.971	0.931
51	1.978	0.940	0.931	−1.374	−0.995	0.931
52	1.992	0.952	0.931	−1.371	−1.013	0.931
53	1.996	0.965	0.931	−1.367	−1.023	0.931
54	1.996	0.973	0.931	−1.363	−1.028	0.931
55	1.995	0.977	0.931	−1.361	−1.030	0.931
56	1.995	0.979	0.931	−1.360	−1.031	0.931
57	−1.387	−1.049	1.246	2.012	0.987	1.246
58	−1.386	−1.050	1.246	2.012	0.988	1.246
59	−1.385	−1.051	1.246	2.011	0.990	1.246
60	−1.382	−1.052	1.246	2.008	0.994	1.246
61	−1.376	−1.054	1.246	2.002	1.000	1.246
62	−1.367	−1.056	1.246	1.989	1.006	1.246
63	−1.349	−1.053	1.246	1.971	1.004	1.246
64	−1.327	−1.044	1.246	1.947	0.996	1.246
65	−1.300	−1.027	1.246	1.916	0.985	1.246
66	−1.268	−1.003	1.246	1.877	0.972	1.246
67	−1.226	−0.972	1.246	1.826	0.955	1.246
68	−1.178	−0.937	1.246	1.767	0.935	1.246
69	−1.126	−0.900	1.246	1.704	0.914	1.246
70	−1.067	−0.858	1.246	1.637	0.891	1.246
71	−1.002	−0.813	1.246	1.563	0.866	1.246
72	−0.929	−0.763	1.246	1.477	0.836	1.246
73	−0.853	−0.712	1.246	1.386	0.806	1.246
74	−0.774	−0.658	1.246	1.292	0.773	1.246
75	−0.691	−0.603	1.246	1.194	0.740	1.246
76	−0.605	−0.545	1.246	1.093	0.704	1.246
77	−0.515	−0.485	1.246	0.987	0.668	1.246
78	−0.422	−0.423	1.246	0.878	0.629	1.246
79	−0.326	−0.359	1.246	0.764	0.589	1.246
80	−0.226	−0.293	1.246	0.648	0.546	1.246
81	−0.126	−0.227	1.246	0.531	0.503	1.246
82	−0.025	−0.163	1.246	0.415	0.458	1.246
83	0.076	−0.098	1.246	0.300	0.412	1.246
84	0.177	−0.035	1.246	0.185	0.364	1.246
85	0.279	0.028	1.246	0.071	0.314	1.246
86	0.382	0.090	1.246	−0.041	0.262	1.246
87	0.485	0.152	1.246	−0.153	0.207	1.246
88	0.588	0.212	1.246	−0.263	0.150	1.246
89	0.692	0.272	1.246	−0.371	0.088	1.246
90	0.796	0.331	1.246	−0.477	0.023	1.246
91	0.900	0.389	1.246	−0.580	−0.045	1.246
92	1.002	0.445	1.246	−0.677	−0.116	1.246
93	1.100	0.498	1.246	−0.768	−0.188	1.246
94	1.195	0.549	1.246	−0.853	−0.262	1.246
95	1.287	0.597	1.246	−0.931	−0.336	1.246
96	1.376	0.643	1.246	−1.003	−0.410	1.246
97	1.461	0.686	1.246	−1.068	−0.485	1.246
98	1.543	0.728	1.246	−1.128	−0.559	1.246
99	1.622	0.767	1.246	−1.182	−0.632	1.246
100	1.690	0.800	1.246	−1.229	−0.701	1.246
101	1.751	0.830	1.246	−1.270	−0.763	1.246
102	1.808	0.858	1.246	−1.304	−0.820	1.246
103	1.862	0.884	1.246	−1.335	−0.874	1.246
104	1.909	0.906	1.246	−1.361	−0.921	1.246
105	1.945	0.923	1.246	−1.381	−0.957	1.246
106	1.974	0.937	1.246	−1.395	−0.987	1.246
107	1.996	0.947	1.246	−1.400	−1.012	1.246
108	2.009	0.958	1.246	−1.399	−1.030	1.246
109	2.014	0.971	1.246	−1.395	−1.040	1.246
110	2.014	0.979	1.246	−1.391	−1.045	1.246
111	2.013	0.984	1.246	−1.389	−1.047	1.246
112	2.013	0.986	1.246	−1.388	−1.049	1.246
113	−1.431	−1.077	1.814	2.033	0.996	1.814
114	−1.431	−1.078	1.814	2.033	0.997	1.814
115	−1.429	−1.078	1.814	2.032	0.999	1.814
116	−1.427	−1.080	1.814	2.029	1.003	1.814
117	−1.421	−1.082	1.814	2.023	1.009	1.814
118	−1.410	−1.083	1.814	2.009	1.014	1.814
119	−1.393	−1.080	1.814	1.991	1.012	1.814
120	−1.370	−1.070	1.814	1.967	1.004	1.814
121	−1.344	−1.052	1.814	1.935	0.993	1.814
122	−1.311	−1.027	1.814	1.895	0.979	1.814
123	−1.269	−0.995	1.814	1.843	0.962	1.814
124	−1.220	−0.959	1.814	1.784	0.941	1.814
125	−1.168	−0.920	1.814	1.720	0.920	1.814
126	−1.108	−0.877	1.814	1.652	0.896	1.814
127	−1.042	−0.830	1.814	1.577	0.871	1.814
128	−0.968	−0.780	1.814	1.489	0.840	1.814
129	−0.891	−0.727	1.814	1.398	0.809	1.814
130	−0.811	−0.672	1.814	1.302	0.776	1.814
131	−0.726	−0.615	1.814	1.203	0.741	1.814
132	−0.638	−0.556	1.814	1.099	0.705	1.814
133	−0.547	−0.495	1.814	0.992	0.668	1.814
134	−0.452	−0.432	1.814	0.881	0.628	1.814
135	−0.354	−0.367	1.814	0.767	0.586	1.814
136	−0.252	−0.300	1.814	0.648	0.543	1.814
137	−0.150	−0.234	1.814	0.530	0.498	1.814
138	−0.047	−0.168	1.814	0.413	0.452	1.814
139	0.056	−0.103	1.814	0.296	0.404	1.814
140	0.160	−0.039	1.814	0.180	0.355	1.814
141	0.264	0.025	1.814	0.064	0.303	1.814
142	0.369	0.088	1.814	−0.050	0.249	1.814
143	0.474	0.149	1.814	−0.163	0.193	1.814
144	0.579	0.211	1.814	−0.274	0.133	1.814
145	0.685	0.271	1.814	−0.384	0.070	1.814
146	0.792	0.331	1.814	−0.491	0.004	1.814
147	0.898	0.390	1.814	−0.596	−0.066	1.814
148	1.002	0.446	1.814	−0.694	−0.138	1.814
149	1.102	0.500	1.814	−0.787	−0.211	1.814
150	1.199	0.551	1.814	−0.873	−0.286	1.814
151	1.293	0.600	1.814	−0.952	−0.360	1.814
152	1.383	0.647	1.814	−1.026	−0.436	1.814
153	1.471	0.691	1.814	−1.094	−0.511	1.814
154	1.554	0.733	1.814	−1.156	−0.585	1.814
155	1.634	0.772	1.814	−1.212	−0.658	1.814
156	1.704	0.806	1.814	−1.261	−0.727	1.814
157	1.766	0.837	1.814	−1.303	−0.790	1.814
158	1.824	0.865	1.814	−1.340	−0.846	1.814
159	1.879	0.891	1.814	−1.372	−0.900	1.814
160	1.927	0.914	1.814	−1.400	−0.948	1.814
161	1.964	0.931	1.814	−1.420	−0.984	1.814
162	1.993	0.945	1.814	−1.436	−1.014	1.814
163	2.015	0.956	1.814	−1.443	−1.038	1.814
164	2.030	0.967	1.814	−1.442	−1.057	1.814
165	2.035	0.980	1.814	−1.439	−1.067	1.814
166	2.035	0.988	1.814	−1.436	−1.073	1.814
167	2.034	0.993	1.814	−1.433	−1.075	1.814
168	2.033	0.995	1.814	−1.432	−1.076	1.814
169	−1.468	−1.101	2.416	2.052	1.003	2.416
170	−1.467	−1.101	2.416	2.051	1.004	2.416
171	−1.466	−1.102	2.416	2.050	1.006	2.416
172	−1.463	−1.104	2.416	2.048	1.011	2.416
173	−1.457	−1.106	2.416	2.042	1.016	2.416
174	−1.446	−1.107	2.416	2.028	1.022	2.416
175	−1.428	−1.103	2.416	2.009	1.018	2.416
176	−1.406	−1.091	2.416	1.985	1.010	2.416
177	−1.379	−1.072	2.416	1.952	0.999	2.416
178	−1.347	−1.047	2.416	1.912	0.986	2.416
179	−1.304	−1.014	2.416	1.860	0.968	2.416
180	−1.255	−0.976	2.416	1.799	0.947	2.416
181	−1.202	−0.937	2.416	1.734	0.925	2.416
182	−1.142	−0.893	2.416	1.666	0.902	2.416
183	−1.075	−0.845	2.416	1.589	0.875	2.416
184	−1.001	−0.793	2.416	1.501	0.845	2.416
185	−0.922	−0.739	2.416	1.408	0.813	2.416
186	−0.841	−0.683	2.416	1.311	0.779	2.416
187	−0.755	−0.625	2.416	1.211	0.744	2.416
188	−0.666	−0.565	2.416	1.106	0.707	2.416
189	−0.573	−0.504	2.416	0.997	0.668	2.416
190	−0.477	−0.440	2.416	0.885	0.628	2.416
191	−0.377	−0.374	2.416	0.769	0.585	2.416
192	−0.273	−0.306	2.416	0.649	0.541	2.416
193	−0.169	−0.239	2.416	0.530	0.495	2.416
194	−0.064	−0.173	2.416	0.411	0.447	2.416
195	0.041	−0.107	2.416	0.293	0.399	2.416
196	0.147	−0.043	2.416	0.175	0.348	2.416
197	0.253	0.022	2.416	0.059	0.295	2.416
198	0.359	0.085	2.416	−0.057	0.240	2.416
199	0.466	0.147	2.416	−0.171	0.182	2.416
200	0.573	0.209	2.416	−0.283	0.121	2.416
201	0.681	0.270	2.416	−0.394	0.057	2.416
202	0.789	0.330	2.416	−0.502	−0.011	2.416
203	0.898	0.390	2.416	−0.608	−0.083	2.416
204	1.003	0.447	2.416	−0.708	−0.156	2.416
205	1.105	0.501	2.416	−0.802	−0.230	2.416
206	1.204	0.553	2.416	−0.889	−0.305	2.416
207	1.299	0.603	2.416	−0.970	−0.381	2.416
208	1.391	0.650	2.416	−1.045	−0.456	2.416
209	1.480	0.694	2.416	−1.114	−0.532	2.416
210	1.565	0.737	2.416	−1.178	−0.607	2.416
211	1.646	0.777	2.416	−1.236	−0.680	2.416
212	1.717	0.812	2.416	−1.286	−0.749	2.416
213	1.780	0.842	2.416	−1.330	−0.812	2.416
214	1.839	0.871	2.416	−1.368	−0.869	2.416
215	1.895	0.898	2.416	−1.402	−0.923	2.416
216	1.944	0.921	2.416	−1.431	−0.970	2.416
217	1.981	0.938	2.416	−1.453	−1.007	2.416
218	2.011	0.953	2.416	−1.469	−1.037	2.416
219	2.033	0.963	2.416	−1.477	−1.061	2.416
220	2.048	0.974	2.416	−1.478	−1.080	2.416
221	2.054	0.987	2.416	−1.475	−1.090	2.416
222	2.054	0.995	2.416	−1.472	−1.096	2.416
223	2.053	1.000	2.416	−1.470	−1.099	2.416
224	2.052	1.002	2.416	−1.468	−1.100	2.416
225	−1.490	−1.117	3.093	2.058	1.006	3.093
226	−1.489	−1.117	3.093	2.058	1.007	3.093
227	−1.488	−1.118	3.093	2.057	1.009	3.093
228	−1.485	−1.120	3.093	2.054	1.013	3.093
229	−1.479	−1.122	3.093	2.048	1.019	3.093
230	−1.468	−1.122	3.093	2.034	1.024	3.093
231	−1.450	−1.117	3.093	2.015	1.020	3.093
232	−1.428	−1.105	3.093	1.991	1.012	3.093
233	−1.402	−1.085	3.093	1.958	1.001	3.093
234	−1.369	−1.059	3.093	1.917	0.987	3.093
235	−1.327	−1.026	3.093	1.865	0.969	3.093
236	−1.277	−0.988	3.093	1.804	0.948	3.093
237	−1.224	−0.947	3.093	1.739	0.926	3.093
238	−1.164	−0.903	3.093	1.670	0.902	3.093
239	−1.097	−0.854	3.093	1.593	0.876	3.093
240	−1.022	−0.801	3.093	1.503	0.845	3.093
241	−0.944	−0.746	3.093	1.410	0.813	3.093
242	−0.861	−0.689	3.093	1.313	0.779	3.093
243	−0.775	−0.631	3.093	1.212	0.743	3.093
244	−0.686	−0.570	3.093	1.107	0.706	3.093
245	−0.592	−0.508	3.093	0.997	0.667	3.093
246	−0.495	−0.444	3.093	0.884	0.626	3.093
247	−0.394	−0.378	3.093	0.768	0.583	3.093
248	−0.289	−0.310	3.093	0.647	0.537	3.093
249	−0.183	−0.243	3.093	0.527	0.490	3.093
250	−0.078	−0.176	3.093	0.408	0.442	3.093
251	0.028	−0.110	3.093	0.289	0.392	3.093
252	0.135	−0.045	3.093	0.171	0.340	3.093
253	0.242	0.019	3.093	0.054	0.286	3.093
254	0.350	0.083	3.093	−0.061	0.230	3.093
255	0.458	0.145	3.093	−0.176	0.171	3.093
256	0.566	0.207	3.093	−0.289	0.109	3.093
257	0.675	0.268	3.093	−0.399	0.044	3.093
258	0.784	0.329	3.093	−0.508	−0.025	3.093
259	0.894	0.389	3.093	−0.615	−0.098	3.093
260	1.000	0.446	3.093	−0.715	−0.172	3.093
261	1.103	0.501	3.093	−0.809	−0.246	3.093
262	1.203	0.553	3.093	−0.897	−0.322	3.093
263	1.299	0.603	3.093	−0.979	−0.398	3.093
264	1.392	0.650	3.093	−1.054	−0.474	3.093
265	1.481	0.695	3.093	−1.125	−0.549	3.093
266	1.566	0.738	3.093	−1.189	−0.624	3.093
267	1.649	0.778	3.093	−1.248	−0.697	3.093
268	1.720	0.813	3.093	−1.300	−0.766	3.093
269	1.783	0.844	3.093	−1.345	−0.829	3.093
270	1.843	0.873	3.093	−1.384	−0.885	3.093
271	1.900	0.900	3.093	−1.419	−0.939	3.093
272	1.948	0.923	3.093	−1.449	−0.986	3.093
273	1.986	0.941	3.093	−1.471	−1.023	3.093
274	2.016	0.955	3.093	−1.488	−1.053	3.093
275	2.039	0.966	3.093	−1.498	−1.077	3.093
276	2.054	0.976	3.093	−1.500	−1.096	3.093
277	2.060	0.990	3.093	−1.497	−1.106	3.093
278	2.060	0.998	3.093	−1.494	−1.112	3.093
279	2.060	1.003	3.093	−1.492	−1.115	3.093
280	2.059	1.005	3.093	−1.491	−1.116	3.093
281	−1.496	−1.127	3.769	2.054	0.999	3.769
282	−1.496	−1.127	3.769	2.053	1.000	3.769
283	−1.494	−1.128	3.769	2.052	1.002	3.769
284	−1.492	−1.130	3.769	2.049	1.006	3.769
285	−1.485	−1.132	3.769	2.043	1.012	3.769
286	−1.475	−1.132	3.769	2.029	1.016	3.769
287	−1.457	−1.127	3.769	2.010	1.012	3.769
288	−1.435	−1.114	3.769	1.986	1.004	3.769
289	−1.409	−1.093	3.769	1.953	0.993	3.769
290	−1.377	−1.067	3.769	1.913	0.979	3.769
291	−1.335	−1.033	3.769	1.860	0.961	3.769
292	−1.285	−0.995	3.769	1.799	0.941	3.769
293	−1.232	−0.954	3.769	1.734	0.918	3.769
294	−1.173	−0.909	3.769	1.665	0.895	3.769
295	−1.105	−0.860	3.769	1.588	0.868	3.769
296	−1.031	−0.806	3.769	1.499	0.837	3.769
297	−0.953	−0.751	3.769	1.406	0.805	3.769
298	−0.870	−0.694	3.769	1.308	0.771	3.769
299	−0.784	−0.635	3.769	1.207	0.736	3.769
300	−0.695	−0.575	3.769	1.102	0.698	3.769
301	−0.601	−0.513	3.769	0.993	0.659	3.769
302	−0.503	−0.449	3.769	0.880	0.618	3.769
303	−0.402	−0.383	3.769	0.764	0.574	3.769
304	−0.297	−0.315	3.769	0.644	0.528	3.769
305	−0.191	−0.248	3.769	0.524	0.481	3.769
306	−0.085	−0.182	3.769	0.405	0.432	3.769
307	0.021	−0.117	3.769	0.287	0.382	3.769
308	0.128	−0.052	3.769	0.169	0.330	3.769
309	0.235	0.012	3.769	0.053	0.275	3.769
310	0.343	0.075	3.769	−0.063	0.218	3.769
311	0.451	0.138	3.769	−0.177	0.158	3.769
312	0.560	0.200	3.769	−0.289	0.096	3.769
313	0.669	0.261	3.769	−0.400	0.030	3.769
314	0.778	0.321	3.769	−0.508	−0.040	3.769
315	0.888	0.381	3.769	−0.614	−0.113	3.769
316	0.995	0.438	3.769	−0.714	−0.187	3.769
317	1.098	0.493	3.769	−0.808	−0.262	3.769
318	1.197	0.545	3.769	−0.895	−0.337	3.769
319	1.293	0.595	3.769	−0.977	−0.413	3.769
320	1.386	0.642	3.769	−1.053	−0.489	3.769
321	1.475	0.687	3.769	−1.124	−0.564	3.769
322	1.561	0.730	3.769	−1.189	−0.638	3.769
323	1.643	0.771	3.769	−1.249	−0.711	3.769
324	1.714	0.806	3.769	−1.301	−0.779	3.769
325	1.778	0.837	3.769	−1.346	−0.841	3.769
326	1.838	0.866	3.769	−1.386	−0.897	3.769
327	1.894	0.893	3.769	−1.422	−0.951	3.769
328	1.943	0.916	3.769	−1.452	−0.998	3.769
329	1.981	0.934	3.769	−1.475	−1.034	3.769
330	2.011	0.949	3.769	−1.492	−1.063	3.769
331	2.033	0.959	3.769	−1.503	−1.087	3.769
332	2.049	0.969	3.769	−1.506	−1.106	3.769
333	2.055	0.982	3.769	−1.504	−1.116	3.769
334	2.056	0.991	3.769	−1.500	−1.122	3.769
335	2.055	0.996	3.769	−1.498	−1.125	3.769
336	2.054	0.998	3.769	−1.497	−1.126	3.769
337	−1.477	−1.131	4.572	2.027	0.978	4.572
338	−1.476	−1.132	4.572	2.026	0.979	4.572
339	−1.475	−1.133	4.572	2.025	0.981	4.572
340	−1.472	−1.134	4.572	2.022	0.985	4.572
341	−1.465	−1.136	4.572	2.016	0.991	4.572
342	−1.455	−1.136	4.572	2.002	0.995	4.572
343	−1.438	−1.130	4.572	1.984	0.991	4.572
344	−1.417	−1.116	4.572	1.960	0.983	4.572
345	−1.392	−1.095	4.572	1.928	0.972	4.572
346	−1.361	−1.068	4.572	1.888	0.958	4.572
347	−1.320	−1.034	4.572	1.836	0.940	4.572
348	−1.272	−0.994	4.572	1.776	0.919	4.572
349	−1.221	−0.953	4.572	1.712	0.897	4.572
350	−1.163	−0.907	4.572	1.644	0.874	4.572
351	−1.097	−0.857	4.572	1.568	0.847	4.572
352	−1.025	−0.802	4.572	1.480	0.817	4.572
353	−0.948	−0.746	4.572	1.388	0.784	4.572
354	−0.868	−0.689	4.572	1.292	0.751	4.572
355	−0.784	−0.630	4.572	1.193	0.715	4.572
356	−0.695	−0.569	4.572	1.089	0.678	4.572
357	−0.603	−0.507	4.572	0.982	0.638	4.572
358	−0.507	−0.443	4.572	0.871	0.597	4.572
359	−0.407	−0.378	4.572	0.756	0.553	4.572
360	−0.303	−0.311	4.572	0.638	0.507	4.572
361	−0.199	−0.245	4.572	0.521	0.459	4.572
362	−0.094	−0.180	4.572	0.404	0.410	4.572
363	0.012	−0.116	4.572	0.287	0.359	4.572
364	0.118	−0.052	4.572	0.172	0.306	4.572
365	0.224	0.011	4.572	0.058	0.251	4.572
366	0.331	0.073	4.572	−0.056	0.194	4.572
367	0.438	0.134	4.572	−0.167	0.134	4.572
368	0.546	0.195	4.572	−0.278	0.071	4.572
369	0.654	0.254	4.572	−0.386	0.005	4.572
370	0.763	0.313	4.572	−0.492	−0.064	4.572
371	0.872	0.372	4.572	−0.596	−0.137	4.572
372	0.977	0.428	4.572	−0.694	−0.210	4.572
373	1.079	0.481	4.572	−0.787	−0.285	4.572
374	1.178	0.533	4.572	−0.873	−0.359	4.572
375	1.273	0.581	4.572	−0.954	−0.434	4.572
376	1.365	0.628	4.572	−1.029	−0.508	4.572
377	1.454	0.672	4.572	−1.099	−0.582	4.572
378	1.539	0.714	4.572	−1.164	−0.654	4.572
379	1.620	0.754	4.572	−1.224	−0.726	4.572
380	1.690	0.788	4.572	−1.276	−0.792	4.572
381	1.753	0.819	4.572	−1.322	−0.853	4.572
382	1.813	0.847	4.572	−1.362	−0.908	4.572
383	1.868	0.874	4.572	−1.398	−0.960	4.572
384	1.917	0.897	4.572	−1.429	−1.005	4.572
385	1.954	0.915	4.572	−1.452	−1.041	4.572
386	1.984	0.929	4.572	−1.470	−1.069	4.572
387	2.006	0.940	4.572	−1.482	−1.092	4.572
388	2.022	0.949	4.572	−1.485	−1.111	4.572
389	2.028	0.962	4.572	−1.483	−1.121	4.572
390	2.029	0.970	4.572	−1.481	−1.127	4.572
391	2.028	0.975	4.572	−1.478	−1.130	4.572
392	2.027	0.977	4.572	−1.477	−1.131	4.572
393	−1.444	−1.127	5.280	1.985	0.953	5.280
394	−1.443	−1.127	5.280	1.984	0.954	5.280
395	−1.442	−1.128	5.280	1.983	0.956	5.280
396	−1.439	−1.130	5.280	1.980	0.960	5.280
397	−1.433	−1.131	5.280	1.974	0.966	5.280
398	−1.423	−1.130	5.280	1.960	0.970	5.280
399	−1.406	−1.124	5.280	1.942	0.965	5.280
400	−1.386	−1.109	5.280	1.919	0.957	5.280
401	−1.362	−1.088	5.280	1.888	0.946	5.280
402	−1.332	−1.061	5.280	1.848	0.932	5.280
403	−1.293	−1.026	5.280	1.798	0.915	5.280
404	−1.247	−0.986	5.280	1.739	0.894	5.280
405	−1.198	−0.944	5.280	1.677	0.872	5.280
406	−1.142	−0.898	5.280	1.610	0.849	5.280
407	−1.079	−0.847	5.280	1.536	0.822	5.280
408	−1.009	−0.792	5.280	1.450	0.792	5.280
409	−0.936	−0.735	5.280	1.360	0.760	5.280
410	−0.858	−0.677	5.280	1.267	0.726	5.280
411	−0.776	−0.618	5.280	1.170	0.691	5.280
412	−0.690	−0.557	5.280	1.069	0.653	5.280
413	−0.600	−0.495	5.280	0.964	0.614	5.280
414	−0.507	−0.432	5.280	0.856	0.573	5.280
415	−0.409	−0.368	5.280	0.744	0.529	5.280
416	−0.307	−0.302	5.280	0.629	0.483	5.280
417	−0.204	−0.238	5.280	0.514	0.435	5.280
418	−0.101	−0.174	5.280	0.400	0.386	5.280
419	0.003	−0.111	5.280	0.287	0.335	5.280
420	0.107	−0.049	5.280	0.174	0.282	5.280
421	0.212	0.012	5.280	0.063	0.227	5.280
422	0.317	0.072	5.280	−0.048	0.170	5.280
423	0.422	0.132	5.280	−0.157	0.110	5.280
424	0.528	0.191	5.280	−0.264	0.048	5.280
425	0.635	0.249	5.280	−0.370	−0.018	5.280
426	0.741	0.306	5.280	−0.473	−0.086	5.280
427	0.848	0.363	5.280	−0.575	−0.158	5.280
428	0.952	0.418	5.280	−0.670	−0.230	5.280
429	1.053	0.470	5.280	−0.761	−0.303	5.280
430	1.150	0.519	5.280	−0.845	−0.376	5.280
431	1.244	0.567	5.280	−0.924	−0.449	5.280
432	1.334	0.612	5.280	−0.998	−0.522	5.280
433	1.421	0.655	5.280	−1.067	−0.593	5.280
434	1.504	0.696	5.280	−1.131	−0.664	5.280
435	1.584	0.735	5.280	−1.190	−0.733	5.280
436	1.653	0.768	5.280	−1.242	−0.798	5.280
437	1.715	0.798	5.280	−1.288	−0.857	5.280
438	1.774	0.826	5.280	−1.327	−0.910	5.280
439	1.828	0.852	5.280	−1.364	−0.960	5.280
440	1.876	0.874	5.280	−1.394	−1.004	5.280
441	1.912	0.892	5.280	−1.418	−1.039	5.280
442	1.942	0.905	5.280	−1.436	−1.066	5.280
443	1.964	0.916	5.280	−1.448	−1.088	5.280
444	1.979	0.925	5.280	−1.452	−1.106	5.280
445	1.986	0.937	5.280	−1.450	−1.116	5.280
446	1.986	0.945	5.280	−1.448	−1.122	5.280
447	1.986	0.950	5.280	−1.446	−1.125	5.280
448	1.985	0.952	5.280	−1.445	−1.126	5.280
449	−1.405	−1.116	5.799	1.944	0.925	5.799
450	−1.405	−1.116	5.799	1.944	0.926	5.799
451	−1.403	−1.117	5.799	1.943	0.928	5.799
452	−1.400	−1.119	5.799	1.940	0.932	5.799
453	−1.394	−1.120	5.799	1.934	0.937	5.799
454	−1.384	−1.119	5.799	1.921	0.941	5.799
455	−1.368	−1.112	5.799	1.903	0.936	5.799
456	−1.349	−1.098	5.799	1.880	0.928	5.799
457	−1.326	−1.076	5.799	1.850	0.918	5.799
458	−1.297	−1.049	5.799	1.812	0.904	5.799
459	−1.259	−1.015	5.799	1.762	0.887	5.799
460	−1.215	−0.975	5.799	1.705	0.866	5.799
461	−1.168	−0.933	5.799	1.644	0.845	5.799
462	−1.114	−0.887	5.799	1.579	0.822	5.799
463	−1.053	−0.836	5.799	1.506	0.796	5.799
464	−0.986	−0.781	5.799	1.423	0.766	5.799
465	−0.914	−0.725	5.799	1.335	0.734	5.799
466	−0.839	−0.667	5.799	1.244	0.701	5.799
467	−0.759	−0.608	5.799	1.149	0.666	5.799
468	−0.676	−0.548	5.799	1.050	0.629	5.799
469	−0.588	−0.487	5.799	0.948	0.591	5.799
470	−0.496	−0.425	5.799	0.842	0.550	5.799
471	−0.401	−0.362	5.799	0.733	0.507	5.799
472	−0.301	−0.298	5.799	0.621	0.461	5.799
473	−0.201	−0.235	5.799	0.509	0.414	5.799
474	−0.100	−0.172	5.799	0.397	0.365	5.799
475	0.002	−0.111	5.799	0.287	0.315	5.799
476	0.104	−0.051	5.799	0.177	0.263	5.799
477	0.207	0.009	5.799	0.069	0.208	5.799
478	0.310	0.067	5.799	−0.039	0.152	5.799
479	0.413	0.125	5.799	−0.145	0.093	5.799
480	0.517	0.183	5.799	−0.250	0.031	5.799
481	0.622	0.239	5.799	−0.353	−0.033	5.799
482	0.726	0.295	5.799	−0.454	−0.100	5.799
483	0.831	0.350	5.799	−0.553	−0.170	5.799
484	0.933	0.403	5.799	−0.646	−0.242	5.799
485	1.032	0.454	5.799	−0.734	−0.313	5.799
486	1.127	0.502	5.799	−0.817	−0.385	5.799
487	1.219	0.548	5.799	−0.894	−0.456	5.799
488	1.307	0.592	5.799	−0.966	−0.527	5.799
489	1.392	0.634	5.799	−1.034	−0.597	5.799
490	1.474	0.674	5.799	−1.096	−0.666	5.799
491	1.552	0.712	5.799	−1.155	−0.733	5.799
492	1.620	0.745	5.799	−1.206	−0.796	5.799
493	1.681	0.774	5.799	−1.251	−0.853	5.799
494	1.738	0.801	5.799	−1.290	−0.905	5.799
495	1.791	0.826	5.799	−1.325	−0.954	5.799
496	1.838	0.848	5.799	−1.356	−0.997	5.799
497	1.874	0.865	5.799	−1.379	−1.030	5.799
498	1.902	0.878	5.799	−1.397	−1.057	5.799
499	1.924	0.888	5.799	−1.409	−1.078	5.799
500	1.939	0.897	5.799	−1.413	−1.096	5.799
501	1.946	0.909	5.799	−1.412	−1.106	5.799
502	1.946	0.917	5.799	−1.409	−1.112	5.799
503	1.946	0.922	5.799	−1.407	−1.114	5.799
504	1.945	0.924	5.799	−1.406	−1.115	5.799
505	−1.373	−1.106	6.139	1.916	0.903	6.139
506	−1.372	−1.106	6.139	1.915	0.904	6.139
507	−1.371	−1.107	6.139	1.914	0.906	6.139
508	−1.368	−1.109	6.139	1.911	0.910	6.139
509	−1.362	−1.110	6.139	1.905	0.915	6.139
510	−1.352	−1.109	6.139	1.892	0.918	6.139
511	−1.336	−1.102	6.139	1.875	0.914	6.139
512	−1.318	−1.088	6.139	1.852	0.906	6.139
513	−1.296	−1.066	6.139	1.822	0.895	6.139
514	−1.268	−1.039	6.139	1.785	0.882	6.139
515	−1.231	−1.005	6.139	1.736	0.865	6.139
516	−1.188	−0.965	6.139	1.680	0.845	6.139
517	−1.142	−0.923	6.139	1.620	0.824	6.139
518	−1.090	−0.877	6.139	1.556	0.801	6.139
519	−1.030	−0.827	6.139	1.485	0.776	6.139
520	−0.965	−0.772	6.139	1.403	0.746	6.139
521	−0.895	−0.716	6.139	1.317	0.715	6.139
522	−0.821	−0.659	6.139	1.227	0.682	6.139
523	−0.743	−0.601	6.139	1.134	0.648	6.139
524	−0.661	−0.542	6.139	1.037	0.611	6.139
525	−0.576	−0.481	6.139	0.937	0.573	6.139
526	−0.486	−0.420	6.139	0.833	0.533	6.139
527	−0.392	−0.358	6.139	0.726	0.490	6.139
528	−0.294	−0.295	6.139	0.616	0.445	6.139
529	−0.195	−0.232	6.139	0.506	0.399	6.139
530	−0.096	−0.171	6.139	0.397	0.350	6.139
531	0.004	−0.111	6.139	0.288	0.301	6.139
532	0.105	−0.052	6.139	0.181	0.249	6.139
533	0.206	0.006	6.139	0.074	0.196	6.139
534	0.307	0.063	6.139	−0.031	0.140	6.139
535	0.409	0.120	6.139	−0.135	0.082	6.139
536	0.511	0.176	6.139	−0.238	0.021	6.139
537	0.614	0.231	6.139	−0.339	−0.042	6.139
538	0.717	0.286	6.139	−0.438	−0.109	6.139
539	0.820	0.340	6.139	−0.535	−0.178	6.139
540	0.921	0.392	6.139	−0.627	−0.248	6.139
541	1.017	0.441	6.139	−0.713	−0.318	6.139
542	1.111	0.489	6.139	−0.794	−0.389	6.139
543	1.202	0.534	6.139	−0.870	−0.459	6.139
544	1.289	0.577	6.139	−0.941	−0.529	6.139
545	1.372	0.618	6.139	−1.007	−0.597	6.139
546	1.453	0.657	6.139	−1.069	−0.665	6.139
547	1.530	0.694	6.139	−1.126	−0.731	6.139
548	1.596	0.726	6.139	−1.177	−0.792	6.139
549	1.656	0.754	6.139	−1.221	−0.849	6.139
550	1.712	0.781	6.139	−1.259	−0.899	6.139
551	1.765	0.806	6.139	−1.294	−0.947	6.139
552	1.811	0.828	6.139	−1.324	−0.990	6.139
553	1.846	0.844	6.139	−1.347	−1.022	6.139
554	1.874	0.857	6.139	−1.365	−1.049	6.139
555	1.895	0.867	6.139	−1.377	−1.069	6.139
556	1.910	0.876	6.139	−1.381	−1.086	6.139
557	1.917	0.888	6.139	−1.379	−1.096	6.139
558	1.917	0.895	6.139	−1.377	−1.102	6.139
559	1.917	0.900	6.139	−1.375	−1.104	6.139
560	1.916	0.902	6.139	−1.373	−1.105	6.139
561	−1.309	−1.086	6.713	1.862	0.865	6.713
562	−1.309	−1.086	6.713	1.862	0.866	6.713
563	−1.307	−1.087	6.713	1.861	0.867	6.713
564	−1.305	−1.088	6.713	1.858	0.871	6.713
565	−1.299	−1.089	6.713	1.853	0.876	6.713
566	−1.290	−1.088	6.713	1.840	0.880	6.713
567	−1.274	−1.081	6.713	1.823	0.875	6.713
568	−1.257	−1.067	6.713	1.802	0.867	6.713
569	−1.236	−1.045	6.713	1.773	0.857	6.713
570	−1.210	−1.018	6.713	1.736	0.844	6.713
571	−1.176	−0.983	6.713	1.689	0.827	6.713
572	−1.135	−0.944	6.713	1.635	0.808	6.713
573	−1.092	−0.902	6.713	1.577	0.787	6.713
574	−1.042	−0.856	6.713	1.516	0.765	6.713
575	−0.987	−0.806	6.713	1.447	0.740	6.713
576	−0.924	−0.752	6.713	1.368	0.711	6.713
577	−0.858	−0.697	6.713	1.285	0.681	6.713
578	−0.787	−0.640	6.713	1.199	0.649	6.713
579	−0.712	−0.583	6.713	1.109	0.615	6.713
580	−0.634	−0.525	6.713	1.015	0.580	6.713
581	−0.551	−0.466	6.713	0.918	0.543	6.713
582	−0.465	−0.406	6.713	0.818	0.503	6.713
583	−0.374	−0.346	6.713	0.715	0.462	6.713
584	−0.279	−0.284	6.713	0.609	0.418	6.713
585	−0.184	−0.224	6.713	0.503	0.372	6.713
586	−0.088	−0.165	6.713	0.398	0.325	6.713
587	0.009	−0.107	6.713	0.293	0.277	6.713
588	0.106	−0.050	6.713	0.189	0.226	6.713
589	0.204	0.006	6.713	0.087	0.174	6.713
590	0.302	0.061	6.713	−0.015	0.120	6.713
591	0.401	0.116	6.713	−0.115	0.063	6.713
592	0.500	0.169	6.713	−0.214	0.004	6.713
593	0.600	0.222	6.713	−0.311	−0.058	6.713
594	0.700	0.274	6.713	−0.406	−0.123	6.713
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597	0.992	0.423	6.713	−0.671	−0.327	6.713
598	1.082	0.468	6.713	−0.749	−0.395	6.713
599	1.170	0.511	6.713	−0.823	−0.462	6.713
600	1.255	0.552	6.713	−0.891	−0.529	6.713
601	1.336	0.591	6.713	−0.956	−0.595	6.713
602	1.414	0.629	6.713	−1.015	−0.661	6.713
603	1.488	0.664	6.713	−1.071	−0.724	6.713
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605	1.611	0.722	6.713	−1.163	−0.838	6.713
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607	1.716	0.772	6.713	−1.234	−0.933	6.713
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610	1.822	0.821	6.713	−1.302	−1.031	6.713
611	1.843	0.830	6.713	−1.314	−1.050	6.713
612	1.857	0.839	6.713	−1.318	−1.067	6.713
613	1.864	0.850	6.713	−1.316	−1.076	6.713
614	1.864	0.857	6.713	−1.313	−1.082	6.713
615	1.863	0.862	6.713	−1.311	−1.084	6.713
616	1.863	0.864	6.713	−1.310	−1.085	6.713
617	−1.264	−1.070	7.084	1.820	0.838	7.084
618	−1.264	−1.070	7.084	1.820	0.839	7.084
619	−1.263	−1.071	7.084	1.819	0.841	7.084
620	−1.260	−1.072	7.084	1.816	0.844	7.084
621	−1.254	−1.073	7.084	1.811	0.849	7.084
622	−1.245	−1.072	7.084	1.798	0.852	7.084
623	−1.230	−1.065	7.084	1.782	0.848	7.084
624	−1.214	−1.050	7.084	1.761	0.840	7.084
625	−1.194	−1.029	7.084	1.733	0.830	7.084
626	−1.169	−1.002	7.084	1.698	0.818	7.084
627	−1.137	−0.967	7.084	1.652	0.801	7.084
628	−1.098	−0.928	7.084	1.599	0.782	7.084
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630	−1.010	−0.840	7.084	1.483	0.740	7.084
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632	−0.896	−0.736	7.084	1.339	0.687	7.084
633	−0.832	−0.681	7.084	1.258	0.657	7.084
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674	−1.219	−1.052	7.440	1.770	0.810	7.440
675	−1.218	−1.053	7.440	1.769	0.812	7.440
676	−1.215	−1.054	7.440	1.767	0.815	7.440
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720	1.674	0.741	7.440	−1.178	−0.946	7.440
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725	1.771	0.795	7.440	−1.226	−1.043	7.440
726	1.772	0.802	7.440	−1.223	−1.048	7.440
727	1.771	0.807	7.440	−1.221	−1.050	7.440
728	1.771	0.808	7.440	−1.220	−1.051	7.440
729	−1.200	−1.043	7.595	1.747	0.796	7.595
730	−1.200	−1.044	7.595	1.746	0.797	7.595
731	−1.198	−1.045	7.595	1.746	0.799	7.595
732	−1.196	−1.046	7.595	1.743	0.802	7.595
733	−1.190	−1.047	7.595	1.738	0.807	7.595
734	−1.182	−1.045	7.595	1.726	0.810	7.595
735	−1.168	−1.038	7.595	1.710	0.806	7.595
736	−1.152	−1.024	7.595	1.690	0.798	7.595
737	−1.134	−1.002	7.595	1.663	0.788	7.595
738	−1.111	−0.976	7.595	1.629	0.776	7.595
739	−1.081	−0.941	7.595	1.586	0.760	7.595
740	−1.046	−0.902	7.595	1.535	0.742	7.595
741	−1.008	−0.861	7.595	1.481	0.722	7.595
742	−0.964	−0.815	7.595	1.424	0.701	7.595
743	−0.914	−0.765	7.595	1.360	0.677	7.595
744	−0.858	−0.712	7.595	1.286	0.650	7.595
745	−0.798	−0.658	7.595	1.209	0.621	7.595
746	−0.734	−0.603	7.595	1.129	0.591	7.595
747	−0.666	−0.547	7.595	1.045	0.559	7.595
748	−0.594	−0.491	7.595	0.958	0.525	7.595
749	−0.517	−0.434	7.595	0.868	0.490	7.595
750	−0.437	−0.377	7.595	0.775	0.452	7.595
751	−0.353	−0.319	7.595	0.679	0.413	7.595
752	−0.265	−0.261	7.595	0.580	0.371	7.595
753	−0.177	−0.204	7.595	0.481	0.328	7.595
754	−0.087	−0.148	7.595	0.384	0.283	7.595
755	0.003	−0.094	7.595	0.287	0.237	7.595
756	0.094	−0.041	7.595	0.190	0.189	7.595
757	0.186	0.011	7.595	0.095	0.140	7.595
758	0.279	0.063	7.595	0.001	0.088	7.595
759	0.371	0.113	7.595	−0.092	0.034	7.595
760	0.465	0.162	7.595	−0.184	−0.022	7.595
761	0.558	0.211	7.595	−0.274	−0.081	7.595
762	0.652	0.258	7.595	−0.362	−0.142	7.595
763	0.747	0.305	7.595	−0.449	−0.206	7.595
764	0.838	0.350	7.595	−0.531	−0.270	7.595
765	0.927	0.393	7.595	−0.608	−0.334	7.595
766	1.013	0.434	7.595	−0.681	−0.397	7.595
767	1.095	0.473	7.595	−0.749	−0.461	7.595
768	1.175	0.511	7.595	−0.813	−0.523	7.595
769	1.251	0.546	7.595	−0.873	−0.585	7.595
770	1.325	0.580	7.595	−0.929	−0.646	7.595
771	1.395	0.613	7.595	−0.980	−0.706	7.595
772	1.456	0.640	7.595	−1.026	−0.761	7.595
773	1.510	0.665	7.595	−1.066	−0.812	7.595
774	1.561	0.689	7.595	−1.100	−0.857	7.595
775	1.609	0.711	7.595	−1.132	−0.901	7.595
776	1.651	0.729	7.595	−1.159	−0.939	7.595
777	1.683	0.744	7.595	−1.179	−0.968	7.595
778	1.709	0.756	7.595	−1.196	−0.992	7.595
779	1.728	0.764	7.595	−1.206	−1.011	7.595
780	1.742	0.772	7.595	−1.209	−1.026	7.595
781	1.748	0.782	7.595	−1.207	−1.035	7.595
782	1.748	0.789	7.595	−1.204	−1.040	7.595
783	1.748	0.794	7.595	−1.202	−1.042	7.595
784	1.747	0.795	7.595	−1.201	−1.043	7.595

In exemplary embodiments, TABLE III below contains Cartesian coordinate data of an airfoil shape 150 of an airfoil 100 of another stator vane 50, 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 stator vane 50, which is disposed in the seventh stage S7 of the compressor section 14.

TABLE III
	Pressure Side Surface	Suction Side Surface

N	X	Y	Z	X	Y	Z

1	−1.391	−1.055	0.063	2.097	0.986	0.063
2	−1.391	−1.056	0.063	2.096	0.988	0.063
3	−1.389	−1.057	0.063	2.095	0.989	0.063
4	−1.387	−1.059	0.063	2.093	0.994	0.063
5	−1.381	−1.061	0.063	2.087	1.000	0.063
6	−1.371	−1.064	0.063	2.075	1.008	0.063
7	−1.353	−1.065	0.063	2.056	1.011	0.063
8	−1.329	−1.059	0.063	2.031	1.004	0.063
9	−1.300	−1.045	0.063	1.999	0.994	0.063
10	−1.266	−1.022	0.063	1.958	0.981	0.063
11	−1.223	−0.991	0.063	1.905	0.964	0.063
12	−1.174	−0.955	0.063	1.845	0.944	0.063
13	−1.121	−0.917	0.063	1.780	0.923	0.063
14	−1.061	−0.874	0.063	1.711	0.901	0.063
15	−0.994	−0.827	0.063	1.634	0.876	0.063
16	−0.921	−0.775	0.063	1.545	0.847	0.063
17	−0.844	−0.722	0.063	1.451	0.817	0.063
18	−0.764	−0.666	0.063	1.354	0.785	0.063
19	−0.680	−0.608	0.063	1.253	0.752	0.063
20	−0.592	−0.548	0.063	1.147	0.718	0.063
21	−0.500	−0.488	0.063	1.038	0.683	0.063
22	−0.404	−0.426	0.063	0.924	0.646	0.063
23	−0.304	−0.364	0.063	0.807	0.608	0.063
24	−0.199	−0.301	0.063	0.686	0.568	0.063
25	−0.093	−0.240	0.063	0.565	0.526	0.063
26	0.014	−0.180	0.063	0.444	0.484	0.063
27	0.121	−0.120	0.063	0.324	0.439	0.063
28	0.228	−0.062	0.063	0.205	0.393	0.063
29	0.335	−0.003	0.063	0.087	0.344	0.063
30	0.443	0.056	0.063	−0.030	0.292	0.063
31	0.550	0.115	0.063	−0.146	0.238	0.063
32	0.656	0.175	0.063	−0.260	0.181	0.063
33	0.763	0.235	0.063	−0.372	0.120	0.063
34	0.870	0.295	0.063	−0.483	0.055	0.063
35	0.976	0.354	0.063	−0.590	−0.014	0.063
36	1.080	0.412	0.063	−0.691	−0.085	0.063
37	1.179	0.468	0.063	−0.786	−0.158	0.063
38	1.276	0.521	0.063	−0.873	−0.233	0.063
39	1.369	0.571	0.063	−0.953	−0.309	0.063
40	1.459	0.619	0.063	−1.027	−0.387	0.063
41	1.545	0.665	0.063	−1.094	−0.464	0.063
42	1.629	0.708	0.063	−1.154	−0.541	0.063
43	1.708	0.750	0.063	−1.208	−0.618	0.063
44	1.777	0.785	0.063	−1.254	−0.690	0.063
45	1.839	0.816	0.063	−1.294	−0.755	0.063
46	1.897	0.846	0.063	−1.327	−0.815	0.063
47	1.952	0.873	0.063	−1.357	−0.871	0.063
48	1.999	0.897	0.063	−1.382	−0.921	0.063
49	2.036	0.915	0.063	−1.399	−0.960	0.063
50	2.065	0.930	0.063	−1.408	−0.992	0.063
51	2.086	0.942	0.063	−1.409	−1.018	0.063
52	2.097	0.956	0.063	−1.405	−1.037	0.063
53	2.099	0.970	0.063	−1.400	−1.046	0.063
54	2.099	0.979	0.063	−1.396	−1.051	0.063
55	2.098	0.983	0.063	−1.393	−1.054	0.063
56	2.097	0.985	0.063	−1.392	−1.055	0.063
57	−1.411	−1.097	1.134	2.096	0.985	1.134
58	−1.410	−1.097	1.134	2.096	0.986	1.134
59	−1.409	−1.098	1.134	2.095	0.988	1.134
60	−1.406	−1.100	1.134	2.092	0.992	1.134
61	−1.400	−1.103	1.134	2.086	0.998	1.134
62	−1.390	−1.104	1.134	2.073	1.006	1.134
63	−1.372	−1.103	1.134	2.054	1.007	1.134
64	−1.349	−1.094	1.134	2.030	0.999	1.134
65	−1.321	−1.077	1.134	1.997	0.988	1.134
66	−1.289	−1.051	1.134	1.957	0.975	1.134
67	−1.247	−1.017	1.134	1.904	0.958	1.134
68	−1.199	−0.979	1.134	1.843	0.938	1.134
69	−1.147	−0.938	1.134	1.778	0.916	1.134
70	−1.089	−0.893	1.134	1.709	0.894	1.134
71	−1.023	−0.843	1.134	1.632	0.868	1.134
72	−0.951	−0.789	1.134	1.543	0.838	1.134
73	−0.875	−0.733	1.134	1.450	0.807	1.134
74	−0.795	−0.674	1.134	1.353	0.774	1.134
75	−0.711	−0.615	1.134	1.251	0.740	1.134
76	−0.623	−0.554	1.134	1.146	0.705	1.134
77	−0.531	−0.492	1.134	1.037	0.668	1.134
78	−0.435	−0.429	1.134	0.923	0.629	1.134
79	−0.334	−0.365	1.134	0.806	0.588	1.134
80	−0.228	−0.301	1.134	0.685	0.545	1.134
81	−0.122	−0.239	1.134	0.565	0.501	1.134
82	−0.015	−0.177	1.134	0.445	0.456	1.134
83	0.093	−0.117	1.134	0.326	0.409	1.134
84	0.201	−0.057	1.134	0.207	0.361	1.134
85	0.309	0.002	1.134	0.090	0.309	1.134
86	0.417	0.062	1.134	−0.027	0.256	1.134
87	0.525	0.121	1.134	−0.142	0.200	1.134
88	0.633	0.181	1.134	−0.256	0.140	1.134
89	0.742	0.240	1.134	−0.368	0.077	1.134
90	0.850	0.299	1.134	−0.477	0.011	1.134
91	0.958	0.359	1.134	−0.584	−0.060	1.134
92	1.063	0.416	1.134	−0.685	−0.132	1.134
93	1.164	0.470	1.134	−0.778	−0.207	1.134
94	1.262	0.523	1.134	−0.865	−0.283	1.134
95	1.357	0.573	1.134	−0.946	−0.359	1.134
96	1.448	0.620	1.134	−1.020	−0.436	1.134
97	1.535	0.666	1.134	−1.087	−0.514	1.134
98	1.620	0.709	1.134	−1.149	−0.590	1.134
99	1.700	0.750	1.134	−1.204	−0.666	1.134
100	1.770	0.785	1.134	−1.253	−0.737	1.134
101	1.833	0.816	1.134	−1.294	−0.801	1.134
102	1.891	0.846	1.134	−1.330	−0.860	1.134
103	1.947	0.873	1.134	−1.362	−0.915	1.134
104	1.995	0.897	1.134	−1.389	−0.964	1.134
105	2.032	0.915	1.134	−1.409	−1.001	1.134
106	2.061	0.929	1.134	−1.422	−1.033	1.134
107	2.083	0.941	1.134	−1.426	−1.058	1.134
108	2.095	0.955	1.134	−1.424	−1.077	1.134
109	2.099	0.968	1.134	−1.419	−1.087	1.134
110	2.098	0.977	1.134	−1.415	−1.093	1.134
111	2.097	0.981	1.134	−1.413	−1.095	1.134
112	2.097	0.983	1.134	−1.412	−1.096	1.134
113	−1.419	−1.124	1.890	2.094	0.982	1.890
114	−1.418	−1.125	1.890	2.094	0.983	1.890
115	−1.417	−1.126	1.890	2.093	0.985	1.890
116	−1.414	−1.127	1.890	2.090	0.989	1.890
117	−1.408	−1.130	1.890	2.084	0.995	1.890
118	−1.398	−1.131	1.890	2.071	1.002	1.890
119	−1.379	−1.129	1.890	2.052	1.002	1.890
120	−1.357	−1.119	1.890	2.028	0.994	1.890
121	−1.330	−1.099	1.890	1.995	0.983	1.890
122	−1.299	−1.072	1.890	1.955	0.970	1.890
123	−1.258	−1.037	1.890	1.902	0.952	1.890
124	−1.211	−0.997	1.890	1.841	0.932	1.890
125	−1.160	−0.955	1.890	1.776	0.910	1.890
126	−1.102	−0.908	1.890	1.707	0.887	1.890
127	−1.037	−0.857	1.890	1.630	0.861	1.890
128	−0.966	−0.801	1.890	1.541	0.831	1.890
129	−0.890	−0.743	1.890	1.448	0.799	1.890
130	−0.810	−0.684	1.890	1.351	0.766	1.890
131	−0.727	−0.624	1.890	1.250	0.731	1.890
132	−0.639	−0.562	1.890	1.144	0.695	1.890
133	−0.547	−0.499	1.890	1.035	0.656	1.890
134	−0.450	−0.436	1.890	0.922	0.617	1.890
135	−0.348	−0.372	1.890	0.806	0.575	1.890
136	−0.243	−0.307	1.890	0.685	0.531	1.890
137	−0.136	−0.244	1.890	0.565	0.485	1.890
138	−0.029	−0.182	1.890	0.445	0.439	1.890
139	0.079	−0.121	1.890	0.327	0.390	1.890
140	0.187	−0.061	1.890	0.209	0.340	1.890
141	0.296	0.000	1.890	0.091	0.287	1.890
142	0.404	0.059	1.890	−0.025	0.232	1.890
143	0.513	0.119	1.890	−0.139	0.174	1.890
144	0.621	0.179	1.890	−0.252	0.114	1.890
145	0.730	0.239	1.890	−0.363	0.049	1.890
146	0.839	0.298	1.890	−0.472	−0.019	1.890
147	0.948	0.357	1.890	−0.578	−0.091	1.890
148	1.053	0.414	1.890	−0.678	−0.164	1.890
149	1.155	0.469	1.890	−0.771	−0.240	1.890
150	1.254	0.521	1.890	−0.858	−0.316	1.890
151	1.349	0.571	1.890	−0.938	−0.393	1.890
152	1.440	0.619	1.890	−1.012	−0.470	1.890
153	1.529	0.664	1.890	−1.080	−0.548	1.890
154	1.613	0.708	1.890	−1.142	−0.624	1.890
155	1.694	0.749	1.890	−1.199	−0.699	1.890
156	1.765	0.784	1.890	−1.249	−0.768	1.890
157	1.827	0.815	1.890	−1.292	−0.832	1.890
158	1.887	0.844	1.890	−1.329	−0.890	1.890
159	1.942	0.872	1.890	−1.362	−0.945	1.890
160	1.991	0.895	1.890	−1.391	−0.992	1.890
161	2.028	0.913	1.890	−1.412	−1.029	1.890
162	2.057	0.928	1.890	−1.426	−1.060	1.890
163	2.080	0.939	1.890	−1.432	−1.085	1.890
164	2.093	0.952	1.890	−1.431	−1.105	1.890
165	2.097	0.965	1.890	−1.427	−1.115	1.890
166	2.097	0.974	1.890	−1.423	−1.120	1.890
167	2.095	0.979	1.890	−1.421	−1.123	1.890
168	2.095	0.981	1.890	−1.420	−1.124	1.890
169	−1.423	−1.149	2.613	2.091	0.978	2.613
170	−1.423	−1.149	2.613	2.091	0.979	2.613
171	−1.421	−1.150	2.613	2.090	0.981	2.613
172	−1.418	−1.152	2.613	2.087	0.985	2.613
173	−1.412	−1.154	2.613	2.081	0.991	2.613
174	−1.402	−1.155	2.613	2.068	0.998	2.613
175	−1.384	−1.152	2.613	2.049	0.997	2.613
176	−1.362	−1.140	2.613	2.024	0.989	2.613
177	−1.336	−1.120	2.613	1.992	0.978	2.613
178	−1.305	−1.092	2.613	1.951	0.965	2.613
179	−1.265	−1.056	2.613	1.899	0.947	2.613
180	−1.218	−1.015	2.613	1.838	0.926	2.613
181	−1.168	−0.971	2.613	1.773	0.905	2.613
182	−1.111	−0.923	2.613	1.704	0.881	2.613
183	−1.047	−0.871	2.613	1.627	0.855	2.613
184	−0.976	−0.813	2.613	1.538	0.824	2.613
185	−0.901	−0.755	2.613	1.445	0.792	2.613
186	−0.821	−0.695	2.613	1.348	0.758	2.613
187	−0.738	−0.634	2.613	1.247	0.723	2.613
188	−0.650	−0.572	2.613	1.142	0.686	2.613
189	−0.557	−0.509	2.613	1.033	0.647	2.613
190	−0.460	−0.445	2.613	0.921	0.607	2.613
191	−0.359	−0.380	2.613	0.804	0.564	2.613
192	−0.253	−0.316	2.613	0.684	0.519	2.613
193	−0.146	−0.252	2.613	0.564	0.472	2.613
194	−0.039	−0.190	2.613	0.445	0.424	2.613
195	0.069	−0.128	2.613	0.327	0.374	2.613
196	0.178	−0.067	2.613	0.209	0.322	2.613
197	0.286	−0.007	2.613	0.093	0.268	2.613
198	0.395	0.054	2.613	−0.022	0.212	2.613
199	0.504	0.114	2.613	−0.136	0.152	2.613
200	0.613	0.174	2.613	−0.248	0.090	2.613
201	0.722	0.234	2.613	−0.358	0.024	2.613
202	0.831	0.294	2.613	−0.466	−0.045	2.613
203	0.940	0.353	2.613	−0.572	−0.119	2.613
204	1.046	0.410	2.613	−0.671	−0.194	2.613
205	1.148	0.465	2.613	−0.763	−0.270	2.613
206	1.247	0.518	2.613	−0.849	−0.347	2.613
207	1.342	0.568	2.613	−0.929	−0.424	2.613
208	1.434	0.616	2.613	−1.003	−0.501	2.613
209	1.522	0.661	2.613	−1.071	−0.578	2.613
210	1.607	0.705	2.613	−1.134	−0.654	2.613
211	1.689	0.746	2.613	−1.192	−0.728	2.613
212	1.759	0.781	2.613	−1.243	−0.797	2.613
213	1.822	0.812	2.613	−1.287	−0.860	2.613
214	1.882	0.841	2.613	−1.325	−0.917	2.613
215	1.938	0.869	2.613	−1.360	−0.971	2.613
216	1.986	0.892	2.613	−1.390	−1.018	2.613
217	2.023	0.910	2.613	−1.412	−1.055	2.613
218	2.053	0.925	2.613	−1.428	−1.085	2.613
219	2.076	0.935	2.613	−1.435	−1.109	2.613
220	2.089	0.948	2.613	−1.435	−1.129	2.613
221	2.094	0.962	2.613	−1.431	−1.139	2.613
222	2.093	0.970	2.613	−1.428	−1.144	2.613
223	2.092	0.975	2.613	−1.425	−1.147	2.613
224	2.092	0.977	2.613	−1.424	−1.148	2.613
225	−1.423	−1.185	3.729	2.083	0.969	3.729
226	−1.422	−1.185	3.729	2.083	0.970	3.729
227	−1.420	−1.186	3.729	2.082	0.972	3.729
228	−1.418	−1.188	3.729	2.079	0.976	3.729
229	−1.411	−1.190	3.729	2.073	0.982	3.729
230	−1.401	−1.190	3.729	2.059	0.988	3.729
231	−1.383	−1.185	3.729	2.041	0.986	3.729
232	−1.362	−1.172	3.729	2.016	0.978	3.729
233	−1.337	−1.150	3.729	1.984	0.967	3.729
234	−1.307	−1.121	3.729	1.943	0.953	3.729
235	−1.268	−1.084	3.729	1.891	0.935	3.729
236	−1.223	−1.041	3.729	1.830	0.914	3.729
237	−1.174	−0.997	3.729	1.766	0.892	3.729
238	−1.118	−0.947	3.729	1.697	0.868	3.729
239	−1.055	−0.893	3.729	1.620	0.842	3.729
240	−0.985	−0.834	3.729	1.532	0.811	3.729
241	−0.910	−0.774	3.729	1.439	0.778	3.729
242	−0.832	−0.713	3.729	1.342	0.744	3.729
243	−0.748	−0.651	3.729	1.242	0.708	3.729
244	−0.661	−0.588	3.729	1.138	0.670	3.729
245	−0.569	−0.525	3.729	1.029	0.630	3.729
246	−0.472	−0.460	3.729	0.917	0.588	3.729
247	−0.370	−0.395	3.729	0.802	0.544	3.729
248	−0.265	−0.329	3.729	0.682	0.497	3.729
249	−0.158	−0.265	3.729	0.563	0.449	3.729
250	−0.051	−0.202	3.729	0.445	0.399	3.729
251	0.057	−0.140	3.729	0.328	0.348	3.729
252	0.166	−0.078	3.729	0.212	0.294	3.729
253	0.274	−0.017	3.729	0.097	0.238	3.729
254	0.383	0.044	3.729	−0.017	0.179	3.729
255	0.492	0.104	3.729	−0.130	0.117	3.729
256	0.600	0.165	3.729	−0.240	0.053	3.729
257	0.709	0.226	3.729	−0.349	−0.015	3.729
258	0.818	0.286	3.729	−0.456	−0.086	3.729
259	0.928	0.346	3.729	−0.560	−0.161	3.729
260	1.033	0.403	3.729	−0.657	−0.237	3.729
261	1.136	0.458	3.729	−0.749	−0.314	3.729
262	1.235	0.511	3.729	−0.834	−0.392	3.729
263	1.330	0.561	3.729	−0.914	−0.469	3.729
264	1.422	0.609	3.729	−0.987	−0.547	3.729
265	1.511	0.655	3.729	−1.055	−0.623	3.729
266	1.596	0.698	3.729	−1.119	−0.698	3.729
267	1.678	0.739	3.729	−1.178	−0.772	3.729
268	1.748	0.774	3.729	−1.229	−0.839	3.729
269	1.812	0.805	3.729	−1.275	−0.901	3.729
270	1.871	0.834	3.729	−1.315	−0.957	3.729
271	1.927	0.861	3.729	−1.351	−1.010	3.729
272	1.976	0.885	3.729	−1.382	−1.056	3.729
273	2.013	0.903	3.729	−1.405	−1.092	3.729
274	2.043	0.917	3.729	−1.423	−1.121	3.729
275	2.066	0.928	3.729	−1.432	−1.145	3.729
276	2.080	0.939	3.729	−1.433	−1.164	3.729
277	2.085	0.953	3.729	−1.430	−1.174	3.729
278	2.085	0.961	3.729	−1.427	−1.180	3.729
279	2.084	0.966	3.729	−1.424	−1.183	3.729
280	2.084	0.968	3.729	−1.423	−1.184	3.729
281	−1.418	−1.207	4.495	2.076	0.961	4.495
282	−1.417	−1.207	4.495	2.075	0.962	4.495
283	−1.416	−1.208	4.495	2.074	0.964	4.495
284	−1.413	−1.210	4.495	2.071	0.968	4.495
285	−1.407	−1.212	4.495	2.065	0.974	4.495
286	−1.396	−1.212	4.495	2.052	0.980	4.495
287	−1.379	−1.206	4.495	2.033	0.977	4.495
288	−1.358	−1.192	4.495	2.009	0.968	4.495
289	−1.334	−1.169	4.495	1.976	0.958	4.495
290	−1.305	−1.140	4.495	1.936	0.944	4.495
291	−1.267	−1.102	4.495	1.884	0.926	4.495
292	−1.222	−1.059	4.495	1.823	0.905	4.495
293	−1.173	−1.013	4.495	1.759	0.882	4.495
294	−1.118	−0.963	4.495	1.691	0.858	4.495
295	−1.056	−0.907	4.495	1.614	0.831	4.495
296	−0.987	−0.848	4.495	1.526	0.800	4.495
297	−0.914	−0.787	4.495	1.434	0.767	4.495
298	−0.835	−0.726	4.495	1.338	0.732	4.495
299	−0.753	−0.663	4.495	1.238	0.695	4.495
300	−0.666	−0.599	4.495	1.134	0.657	4.495
301	−0.574	−0.535	4.495	1.026	0.617	4.495
302	−0.477	−0.470	4.495	0.915	0.574	4.495
303	−0.377	−0.404	4.495	0.799	0.529	4.495
304	−0.271	−0.338	4.495	0.681	0.481	4.495
305	−0.165	−0.274	4.495	0.563	0.432	4.495
306	−0.058	−0.210	4.495	0.446	0.381	4.495
307	0.050	−0.147	4.495	0.329	0.329	4.495
308	0.158	−0.085	4.495	0.214	0.274	4.495
309	0.266	−0.024	4.495	0.100	0.216	4.495
310	0.375	0.037	4.495	−0.013	0.156	4.495
311	0.483	0.098	4.495	−0.125	0.094	4.495
312	0.592	0.159	4.495	−0.234	0.028	4.495
313	0.701	0.220	4.495	−0.342	−0.041	4.495
314	0.810	0.280	4.495	−0.448	−0.113	4.495
315	0.919	0.340	4.495	−0.550	−0.189	4.495
316	1.024	0.397	4.495	−0.647	−0.265	4.495
317	1.127	0.452	4.495	−0.738	−0.343	4.495
318	1.226	0.505	4.495	−0.823	−0.421	4.495
319	1.321	0.555	4.495	−0.902	−0.498	4.495
320	1.413	0.603	4.495	−0.975	−0.576	4.495
321	1.502	0.649	4.495	−1.043	−0.652	4.495
322	1.587	0.692	4.495	−1.107	−0.726	4.495
323	1.669	0.733	4.495	−1.166	−0.799	4.495
324	1.739	0.767	4.495	−1.219	−0.866	4.495
325	1.803	0.798	4.495	−1.265	−0.927	4.495
326	1.862	0.827	4.495	−1.305	−0.982	4.495
327	1.919	0.854	4.495	−1.342	−1.034	4.495
328	1.967	0.878	4.495	−1.374	−1.080	4.495
329	2.005	0.896	4.495	−1.397	−1.115	4.495
330	2.035	0.910	4.495	−1.416	−1.144	4.495
331	2.057	0.920	4.495	−1.426	−1.167	4.495
332	2.072	0.931	4.495	−1.428	−1.186	4.495
333	2.078	0.945	4.495	−1.425	−1.197	4.495
334	2.078	0.953	4.495	−1.422	−1.203	4.495
335	2.077	0.958	4.495	−1.420	−1.205	4.495
336	2.076	0.960	4.495	−1.419	−1.206	4.495
337	−1.410	−1.230	5.336	2.065	0.949	5.336
338	−1.409	−1.230	5.336	2.065	0.951	5.336
339	−1.408	−1.231	5.336	2.064	0.952	5.336
340	−1.405	−1.233	5.336	2.061	0.957	5.336
341	−1.398	−1.234	5.336	2.055	0.962	5.336
342	−1.388	−1.234	5.336	2.041	0.967	5.336
343	−1.371	−1.228	5.336	2.022	0.964	5.336
344	−1.351	−1.213	5.336	1.998	0.955	5.336
345	−1.327	−1.190	5.336	1.966	0.944	5.336
346	−1.299	−1.160	5.336	1.926	0.930	5.336
347	−1.261	−1.121	5.336	1.874	0.912	5.336
348	−1.218	−1.077	5.336	1.814	0.891	5.336
349	−1.170	−1.031	5.336	1.750	0.868	5.336
350	−1.116	−0.979	5.336	1.682	0.844	5.336
351	−1.055	−0.923	5.336	1.606	0.817	5.336
352	−0.987	−0.863	5.336	1.519	0.785	5.336
353	−0.914	−0.801	5.336	1.427	0.751	5.336
354	−0.838	−0.738	5.336	1.331	0.716	5.336
355	−0.756	−0.674	5.336	1.232	0.679	5.336
356	−0.670	−0.610	5.336	1.129	0.640	5.336
357	−0.578	−0.546	5.336	1.022	0.599	5.336
358	−0.482	−0.480	5.336	0.911	0.556	5.336
359	−0.382	−0.414	5.336	0.797	0.510	5.336
360	−0.277	−0.347	5.336	0.680	0.462	5.336
361	−0.171	−0.282	5.336	0.563	0.411	5.336
362	−0.065	−0.218	5.336	0.446	0.360	5.336
363	0.042	−0.155	5.336	0.331	0.306	5.336
364	0.150	−0.093	5.336	0.217	0.250	5.336
365	0.257	−0.031	5.336	0.104	0.191	5.336
366	0.365	0.030	5.336	−0.008	0.130	5.336
367	0.474	0.091	5.336	−0.118	0.067	5.336
368	0.582	0.152	5.336	−0.227	0.000	5.336
369	0.691	0.213	5.336	−0.333	−0.070	5.336
370	0.799	0.273	5.336	−0.437	−0.143	5.336
371	0.908	0.333	5.336	−0.539	−0.219	5.336
372	1.014	0.390	5.336	−0.635	−0.296	5.336
373	1.116	0.445	5.336	−0.724	−0.374	5.336
374	1.215	0.498	5.336	−0.808	−0.453	5.336
375	1.310	0.547	5.336	−0.886	−0.530	5.336
376	1.402	0.595	5.336	−0.960	−0.607	5.336
377	1.491	0.640	5.336	−1.028	−0.682	5.336
378	1.576	0.683	5.336	−1.092	−0.756	5.336
379	1.657	0.724	5.336	−1.152	−0.828	5.336
380	1.728	0.758	5.336	−1.205	−0.894	5.336
381	1.791	0.789	5.336	−1.252	−0.954	5.336
382	1.851	0.818	5.336	−1.292	−1.009	5.336
383	1.907	0.844	5.336	−1.330	−1.060	5.336
384	1.956	0.868	5.336	−1.363	−1.104	5.336
385	1.993	0.885	5.336	−1.387	−1.139	5.336
386	2.023	0.899	5.336	−1.406	−1.167	5.336
387	2.046	0.910	5.336	−1.416	−1.190	5.336
388	2.061	0.920	5.336	−1.419	−1.209	5.336
389	2.067	0.933	5.336	−1.417	−1.219	5.336
390	2.067	0.941	5.336	−1.414	−1.225	5.336
391	2.066	0.946	5.336	−1.412	−1.228	5.336
392	2.066	0.948	5.336	−1.410	−1.229	5.336
393	−1.396	−1.247	6.218	2.052	0.940	6.218
394	−1.395	−1.248	6.218	2.051	0.941	6.218
395	−1.394	−1.249	6.218	2.050	0.943	6.218
396	−1.391	−1.250	6.218	2.047	0.947	6.218
397	−1.385	−1.252	6.218	2.041	0.953	6.218
398	−1.374	−1.251	6.218	2.027	0.958	6.218
399	−1.357	−1.245	6.218	2.009	0.954	6.218
400	−1.338	−1.230	6.218	1.985	0.946	6.218
401	−1.315	−1.206	6.218	1.953	0.935	6.218
402	−1.287	−1.175	6.218	1.913	0.921	6.218
403	−1.250	−1.136	6.218	1.862	0.903	6.218
404	−1.207	−1.092	6.218	1.802	0.881	6.218
405	−1.161	−1.044	6.218	1.739	0.859	6.218
406	−1.109	−0.992	6.218	1.671	0.834	6.218
407	−1.049	−0.935	6.218	1.596	0.807	6.218
408	−0.982	−0.873	6.218	1.508	0.775	6.218
409	−0.911	−0.810	6.218	1.417	0.742	6.218
410	−0.836	−0.746	6.218	1.323	0.706	6.218
411	−0.756	−0.681	6.218	1.224	0.669	6.218
412	−0.671	−0.616	6.218	1.121	0.630	6.218
413	−0.581	−0.550	6.218	1.015	0.589	6.218
414	−0.486	−0.483	6.218	0.905	0.545	6.218
415	−0.387	−0.417	6.218	0.792	0.499	6.218
416	−0.283	−0.350	6.218	0.676	0.450	6.218
417	−0.177	−0.285	6.218	0.560	0.399	6.218
418	−0.071	−0.221	6.218	0.445	0.346	6.218
419	0.035	−0.159	6.218	0.331	0.291	6.218
420	0.143	−0.097	6.218	0.218	0.234	6.218
421	0.250	−0.036	6.218	0.106	0.174	6.218
422	0.358	0.025	6.218	−0.004	0.112	6.218
423	0.466	0.086	6.218	−0.112	0.046	6.218
424	0.574	0.147	6.218	−0.219	−0.022	6.218
425	0.682	0.207	6.218	−0.324	−0.093	6.218
426	0.790	0.267	6.218	−0.426	−0.167	6.218
427	0.899	0.327	6.218	−0.527	−0.244	6.218
428	1.004	0.384	6.218	−0.621	−0.322	6.218
429	1.106	0.438	6.218	−0.710	−0.400	6.218
430	1.204	0.491	6.218	−0.793	−0.478	6.218
431	1.299	0.540	6.218	−0.871	−0.555	6.218
432	1.391	0.588	6.218	−0.944	−0.631	6.218
433	1.479	0.633	6.218	−1.012	−0.706	6.218
434	1.564	0.675	6.218	−1.076	−0.778	6.218
435	1.645	0.716	6.218	−1.136	−0.849	6.218
436	1.715	0.750	6.218	−1.189	−0.915	6.218
437	1.779	0.781	6.218	−1.236	−0.975	6.218
438	1.838	0.809	6.218	−1.277	−1.028	6.218
439	1.894	0.836	6.218	−1.315	−1.079	6.218
440	1.942	0.859	6.218	−1.348	−1.123	6.218
441	1.980	0.876	6.218	−1.372	−1.158	6.218
442	2.010	0.890	6.218	−1.391	−1.185	6.218
443	2.032	0.901	6.218	−1.402	−1.208	6.218
444	2.047	0.911	6.218	−1.405	−1.227	6.218
445	2.053	0.924	6.218	−1.403	−1.237	6.218
446	2.054	0.932	6.218	−1.400	−1.243	6.218
447	2.053	0.937	6.218	−1.398	−1.246	6.218
448	2.052	0.939	6.218	−1.397	−1.247	6.218
449	−1.384	−1.257	6.804	2.041	0.934	6.804
450	−1.384	−1.257	6.804	2.041	0.935	6.804
451	−1.382	−1.258	6.804	2.040	0.937	6.804
452	−1.379	−1.260	6.804	2.037	0.941	6.804
453	−1.373	−1.261	6.804	2.031	0.946	6.804
454	−1.363	−1.261	6.804	2.017	0.951	6.804
455	−1.346	−1.254	6.804	1.999	0.947	6.804
456	−1.326	−1.239	6.804	1.975	0.939	6.804
457	−1.304	−1.215	6.804	1.943	0.927	6.804
458	−1.277	−1.184	6.804	1.904	0.913	6.804
459	−1.241	−1.145	6.804	1.852	0.895	6.804
460	−1.199	−1.099	6.804	1.793	0.874	6.804
461	−1.153	−1.052	6.804	1.730	0.851	6.804
462	−1.101	−0.999	6.804	1.663	0.826	6.804
463	−1.043	−0.941	6.804	1.588	0.799	6.804
464	−0.977	−0.879	6.804	1.501	0.767	6.804
465	−0.908	−0.815	6.804	1.411	0.733	6.804
466	−0.833	−0.750	6.804	1.316	0.697	6.804
467	−0.754	−0.684	6.804	1.218	0.660	6.804
468	−0.671	−0.618	6.804	1.117	0.620	6.804
469	−0.582	−0.551	6.804	1.011	0.579	6.804
470	−0.488	−0.484	6.804	0.902	0.535	6.804
471	−0.390	−0.417	6.804	0.790	0.488	6.804
472	−0.287	−0.349	6.804	0.674	0.438	6.804
473	−0.182	−0.284	6.804	0.559	0.387	6.804
474	−0.077	−0.219	6.804	0.445	0.333	6.804
475	0.029	−0.157	6.804	0.332	0.278	6.804
476	0.136	−0.095	6.804	0.220	0.220	6.804
477	0.243	−0.033	6.804	0.110	0.160	6.804
478	0.350	0.028	6.804	0.000	0.097	6.804
479	0.458	0.088	6.804	−0.107	0.031	6.804
480	0.565	0.148	6.804	−0.213	−0.037	6.804
481	0.673	0.208	6.804	−0.317	−0.108	6.804
482	0.781	0.268	6.804	−0.418	−0.183	6.804
483	0.889	0.327	6.804	−0.518	−0.260	6.804
484	0.994	0.383	6.804	−0.612	−0.338	6.804
485	1.096	0.438	6.804	−0.700	−0.415	6.804
486	1.194	0.489	6.804	−0.783	−0.493	6.804
487	1.289	0.539	6.804	−0.860	−0.569	6.804
488	1.381	0.585	6.804	−0.933	−0.645	6.804
489	1.469	0.630	6.804	−1.002	−0.719	6.804
490	1.553	0.672	6.804	−1.065	−0.791	6.804
491	1.635	0.712	6.804	−1.125	−0.862	6.804
492	1.705	0.746	6.804	−1.178	−0.927	6.804
493	1.768	0.776	6.804	−1.225	−0.986	6.804
494	1.827	0.804	6.804	−1.266	−1.039	6.804
495	1.883	0.831	6.804	−1.304	−1.089	6.804
496	1.931	0.853	6.804	−1.336	−1.133	6.804
497	1.969	0.871	6.804	−1.361	−1.168	6.804
498	1.999	0.884	6.804	−1.380	−1.195	6.804
499	2.021	0.895	6.804	−1.391	−1.218	6.804
500	2.036	0.905	6.804	−1.394	−1.236	6.804
501	2.043	0.917	6.804	−1.392	−1.247	6.804
502	2.043	0.926	6.804	−1.388	−1.253	6.804
503	2.042	0.930	6.804	−1.386	−1.255	6.804
504	2.042	0.932	6.804	−1.385	−1.256	6.804
505	−1.367	−1.264	7.560	2.026	0.927	7.560
506	−1.366	−1.265	7.560	2.025	0.929	7.560
507	−1.364	−1.265	7.560	2.024	0.930	7.560
508	−1.362	−1.267	7.560	2.022	0.935	7.560
509	−1.355	−1.268	7.560	2.015	0.940	7.560
510	−1.345	−1.268	7.560	2.001	0.944	7.560
511	−1.328	−1.261	7.560	1.983	0.939	7.560
512	−1.309	−1.246	7.560	1.960	0.931	7.560
513	−1.287	−1.222	7.560	1.928	0.920	7.560
514	−1.260	−1.191	7.560	1.889	0.906	7.560
515	−1.225	−1.151	7.560	1.838	0.887	7.560
516	−1.184	−1.105	7.560	1.780	0.866	7.560
517	−1.140	−1.057	7.560	1.717	0.843	7.560
518	−1.089	−1.004	7.560	1.651	0.818	7.560
519	−1.032	−0.945	7.560	1.576	0.790	7.560
520	−0.968	−0.882	7.560	1.491	0.758	7.560
521	−0.900	−0.817	7.560	1.401	0.724	7.560
522	−0.828	−0.751	7.560	1.308	0.688	7.560
523	−0.751	−0.684	7.560	1.211	0.650	7.560
524	−0.669	−0.616	7.560	1.110	0.610	7.560
525	−0.582	−0.548	7.560	1.006	0.567	7.560
526	−0.490	−0.480	7.560	0.898	0.523	7.560
527	−0.393	−0.412	7.560	0.787	0.475	7.560
528	−0.291	−0.343	7.560	0.673	0.425	7.560
529	−0.188	−0.277	7.560	0.559	0.373	7.560
530	−0.084	−0.212	7.560	0.446	0.319	7.560
531	0.021	−0.149	7.560	0.335	0.263	7.560
532	0.127	−0.086	7.560	0.224	0.205	7.560
533	0.233	−0.025	7.560	0.115	0.144	7.560
534	0.339	0.036	7.560	0.007	0.081	7.560
535	0.446	0.096	7.560	−0.099	0.015	7.560
536	0.553	0.156	7.560	−0.204	−0.053	7.560
537	0.660	0.215	7.560	−0.307	−0.125	7.560
538	0.768	0.274	7.560	−0.407	−0.199	7.560
539	0.876	0.332	7.560	−0.506	−0.276	7.560
540	0.981	0.388	7.560	−0.599	−0.353	7.560
541	1.082	0.441	7.560	−0.686	−0.430	7.560
542	1.180	0.492	7.560	−0.768	−0.507	7.560
543	1.275	0.540	7.560	−0.846	−0.583	7.560
544	1.366	0.586	7.560	−0.918	−0.658	7.560
545	1.454	0.630	7.560	−0.986	−0.731	7.560
546	1.538	0.671	7.560	−1.050	−0.803	7.560
547	1.619	0.710	7.560	−1.109	−0.873	7.560
548	1.690	0.743	7.560	−1.162	−0.937	7.560
549	1.752	0.773	7.560	−1.209	−0.996	7.560
550	1.812	0.801	7.560	−1.250	−1.048	7.560
551	1.867	0.827	7.560	−1.287	−1.098	7.560
552	1.915	0.849	7.560	−1.320	−1.142	7.560
553	1.953	0.866	7.560	−1.344	−1.175	7.560
554	1.982	0.880	7.560	−1.363	−1.203	7.560
555	2.005	0.890	7.560	−1.374	−1.225	7.560
556	2.020	0.899	7.560	−1.376	−1.244	7.560
557	2.027	0.911	7.560	−1.374	−1.254	7.560
558	2.028	0.920	7.560	−1.371	−1.260	7.560
559	2.027	0.924	7.560	−1.368	−1.262	7.560
560	2.026	0.926	7.560	−1.367	−1.264	7.560
561	−1.357	−1.266	7.938	2.018	0.925	7.938
562	−1.356	−1.267	7.938	2.017	0.926	7.938
563	−1.355	−1.267	7.938	2.016	0.928	7.938
564	−1.352	−1.269	7.938	2.013	0.932	7.938
565	−1.345	−1.270	7.938	2.007	0.938	7.938
566	−1.335	−1.270	7.938	1.993	0.942	7.938
567	−1.318	−1.263	7.938	1.975	0.937	7.938
568	−1.299	−1.248	7.938	1.952	0.928	7.938
569	−1.277	−1.224	7.938	1.921	0.917	7.938
570	−1.251	−1.193	7.938	1.882	0.903	7.938
571	−1.216	−1.153	7.938	1.831	0.884	7.938
572	−1.176	−1.107	7.938	1.773	0.863	7.938
573	−1.132	−1.059	7.938	1.710	0.840	7.938
574	−1.082	−1.005	7.938	1.644	0.815	7.938
575	−1.026	−0.946	7.938	1.571	0.787	7.938
576	−0.963	−0.882	7.938	1.485	0.755	7.938
577	−0.896	−0.817	7.938	1.396	0.720	7.938
578	−0.824	−0.750	7.938	1.303	0.684	7.938
579	−0.748	−0.683	7.938	1.207	0.646	7.938
580	−0.667	−0.614	7.938	1.107	0.606	7.938
581	−0.581	−0.546	7.938	1.003	0.563	7.938
582	−0.490	−0.477	7.938	0.896	0.518	7.938
583	−0.394	−0.408	7.938	0.786	0.471	7.938
584	−0.293	−0.339	7.938	0.672	0.420	7.938
585	−0.191	−0.272	7.938	0.559	0.367	7.938
586	−0.088	−0.207	7.938	0.447	0.313	7.938
587	0.017	−0.143	7.938	0.336	0.257	7.938
588	0.122	−0.081	7.938	0.226	0.198	7.938
589	0.228	−0.019	7.938	0.117	0.138	7.938
590	0.334	0.041	7.938	0.010	0.074	7.938
591	0.440	0.101	7.938	−0.096	0.008	7.938
592	0.547	0.161	7.938	−0.200	−0.060	7.938
593	0.654	0.220	7.938	−0.302	−0.131	7.938
594	0.762	0.278	7.938	−0.402	−0.205	7.938
595	0.869	0.336	7.938	−0.500	−0.282	7.938
596	0.974	0.391	7.938	−0.592	−0.359	7.938
597	1.075	0.444	7.938	−0.679	−0.436	7.938
598	1.173	0.494	7.938	−0.761	−0.512	7.938
599	1.268	0.542	7.938	−0.838	−0.588	7.938
600	1.359	0.587	7.938	−0.911	−0.662	7.938
601	1.447	0.630	7.938	−0.978	−0.735	7.938
602	1.531	0.671	7.938	−1.042	−0.807	7.938
603	1.612	0.710	7.938	−1.101	−0.876	7.938
604	1.682	0.743	7.938	−1.154	−0.940	7.938
605	1.744	0.772	7.938	−1.200	−0.999	7.938
606	1.804	0.800	7.938	−1.241	−1.051	7.938
607	1.859	0.825	7.938	−1.279	−1.101	7.938
608	1.907	0.848	7.938	−1.311	−1.144	7.938
609	1.944	0.864	7.938	−1.335	−1.178	7.938
610	1.974	0.878	7.938	−1.354	−1.205	7.938
611	1.996	0.888	7.938	−1.364	−1.228	7.938
612	2.012	0.897	7.938	−1.366	−1.246	7.938
613	2.019	0.909	7.938	−1.364	−1.256	7.938
614	2.020	0.917	7.938	−1.361	−1.262	7.938
615	2.019	0.922	7.938	−1.359	−1.265	7.938
616	2.018	0.924	7.938	−1.357	−1.266	7.938

It will also be appreciated that the airfoil 100 disclosed in any one of the above TABLES I through III may be scaled up or down geometrically for use in other similar turbine designs. Consequently, the coordinate values set forth in any one of TABLES I through III 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 III 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.

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-S22 of rotor blades 44 may include a unique stagger angle distribution, such that the collective utilization of the stages S1-S22 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 rotating stage (S1-S22) of the compressor section 14.

Similarly, each stage S1-S22 of stator vanes 50 may include a unique stagger angle distribution, such that the collective utilization of the stages S1-S22 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 S1 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 stationary stage (S1-S22) of the compressor section 14.

In accordance with embodiments of the present disclosure, FIGS. 5 and 6 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-S22) of the compressor section 14. Each of the graphs may be in non-dimensional units. Specifically, the y-axis illustrates 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 illustrates 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 increases 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 stagger angle distributions, plotted from 15% to 85% span of an airfoil 100 belonging to a stator vane 50 within the fifth stage S5 (i.e., a fifth stage stator vane); a stator vane 50 within the sixth stage S6 (i.e., a sixth stage stator vane); and a stator vane 50 within the seventh stage S7 (i.e., a seventh stage stator vane). In some embodiments, all of the stator vanes 50 within the fifth stage S5 of the compressor section 14 may include an airfoil 100 having a profile defined by the X, Y, and Z coordinate values of TABLE I and the stagger angle distribution according to TABLE VI and as shown in FIG. 5. Similarly, all of the stator vanes 50 within the sixth stage S6 of the compressor section may include an airfoil 100 having a profile defined by the X, Y, and Z coordinate values of TABLE II and the stagger angle distribution according to TABLE V and as shown in FIG. 5. Likewise, all of the stator vanes 50 within the seventh stage S7 of the compressor section may include an airfoil 100 having a profile defined by the X, Y, and Z coordinate values of TABLE III and the stagger angle distribution according to TABLE VI and as shown in FIG. 5. The stagger angle distributions shown in FIG. 5 are plotted according to the points in TABLES IV through VI below.

TABLE IV
Stage Five Stator Vane
Airfoil Stagger Angle
Distribution

		—
	(%)	Stagger/midspan
	Span	stagger
	15.00%	1.013
	22.77%	1.008
	32.53%	1.003
	42.14%	1.001
	51.62%	1.000
	60.99%	1.000
	70.26%	1.003
	79.45%	1.011
	85.00%	1.016

TABLE V
Stage Six Stator Vane
Airfoil Stagger Angle
Distribution

		—
	(%)	Stagger/midspan
	Span	stagger
	15.00%	1.021
	22.51%	1.015
	32.19%	1.010
	41.77%	1.004
	51.28%	0.999
	60.71%	0.998
	70.06%	0.997
	79.34%	0.998
	85.00%	0.998

TABLE VI
Stage Seven Stator
Vane Airfoil Stagger
Angle Distribution

		—
	(%)	Stagger/midspan
	Span	stagger
	15.00%	1.029
	22.96%	1.023
	32.66%	1.014
	42.20%	1.007
	51.64%	0.999
	60.96%	0.990
	70.20%	0.982
	79.37%	0.974
	85.00%	0.969

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 III 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 airfoils 100 described herein thus improve overall gas turbine 10 efficiency. The airfoils 100 also meet all aeromechanical and stress requirements. For example, the airfoils 100 of the stator vanes 50 described herein thus are of specific shapes 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 stator vane 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, or TABLE III, 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 that are 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 are connected by smooth continuing arcs to 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 stator vane of the preceding clause, wherein the airfoil includes a stagger angle distribution, each stagger angle in the stagger angle distribution being measured between a chord line of the airfoil and a rotary axis of the airfoil; wherein, when the airfoil is defined by the Cartesian coordinate values of X, Y, and Z set forth in TABLE I, the stagger angle distribution is defined in accordance with TABLE IV; wherein, when the airfoil is defined by the Cartesian coordinate values of X, Y, and Z set forth in TABLE II, the stagger angle distribution is defined in accordance with TABLE V; and wherein, when the airfoil is defined by the Cartesian coordinate values of X, Y, and Z set forth in TABLE III, the stagger angle distribution is defined in accordance with TABLE VI.

The stator vane of any preceding clause, wherein the stator vane is a fifth stage compressor stator vane.

The stator vane of any of the first two clauses, wherein the stator vane is a sixth stage compressor stator vane.

The stator vane of any of the first two clauses, wherein the stator vane is seventh stage compressor stator vane.

The stator vane of any preceding clause, wherein the airfoil shape lies in an envelope within +/−5% of a chord length in a direction normal to any airfoil surface location.

The stator vane of any preceding clause, wherein the scaling factor is between about 0.01 inches and about 10 inches.

The stator vane of any preceding clause, 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 stator vane 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, or TABLE III, 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 that are 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 are connected by smooth continuing arcs to 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 stator vane of the preceding clause, wherein the airfoil includes a stagger angle distribution, each stagger angle in the stagger angle distribution being measured between a chord line of the airfoil and a rotary axis of the airfoil; wherein, when the airfoil has the nominal suction-side profile defined by the Cartesian coordinate values of X, Y, and Z set forth in TABLE I, the stagger angle distribution is defined in accordance with TABLE IV; wherein, when the airfoil is defined by the Cartesian coordinate values of X, Y, and Z set forth in TABLE II, the stagger angle distribution is defined in accordance with TABLE V; and wherein, when the airfoil is defined by the Cartesian coordinate values of X, Y, and Z set forth in TABLE III, the stagger angle distribution is defined in accordance with TABLE VI.

The stator vane of any preceding clause, wherein the stator vane is a fifth stage compressor stator vane.

The stator vane of any preceding clause, wherein the stator vane is a sixth stage compressor stator vane.

The stator vane of any preceding clause, wherein the stator vane is a seventh stage compressor stator vane.

The stator vane of any preceding clause, 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 stator vane of any preceding clause, wherein the scaling factor is between about 0.01 inches and about 10 inches.

The stator vane of any preceding clause, 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 a stator vane disposed within the compressor section, the stator vane 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, or TABLE III, 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 that are 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 are connected by smooth continuing arcs to 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 the preceding clause, wherein the airfoil includes a stagger angle distribution, each stagger angle in the stagger angle distribution being measured between a chord line of the airfoil and a rotary axis of the airfoil; wherein, when the airfoil has the nominal suction-side profile defined by the Cartesian coordinate values of X, Y, and Z set forth in TABLE I, the stagger angle distribution is defined in accordance with TABLE IV; wherein, when the airfoil is defined by the Cartesian coordinate values of X, Y, and Z set forth in TABLE II, the stagger angle distribution is defined in accordance with TABLE V; and wherein, when the airfoil is defined by the Cartesian coordinate values of X, Y, and Z set forth in TABLE III, the stagger angle distribution is defined in accordance with TABLE VI.

The turbomachine of any preceding clause, wherein a fifth stage of the compressor section includes a plurality of stator vanes defined according to TABLE I, a sixth stage of the compressor section includes a plurality of stator vanes defined according to TABLE II, and a seventh stage of the compressor section includes a plurality of stator vanes defined according to TABLE III.