AIRFOIL SHAPE FOR SECOND STAGE COMPRESSOR ROTOR BLADE

Abstract
A system is provided, including an airfoil. The airfoil includes a first suction portion of a nominal airfoil profile substantially in accordance with Cartesian coordinate values of X, Y, and Z of a suction side as set forth in TABLE I to a maximum of three decimal places, wherein the X and Y values of the suction side are coordinate values that couple together to define suction side sections of the first suction portion of the nominal airfoil profile at each Z coordinate value, the suction side sections of the first suction portion of the nominal airfoil profile are coupled together to define the first suction portion, the airfoil includes an airfoil length along a Z axis, the first suction portion comprises a first portion length along the Z axis, the first portion length is less than or equal to the airfoil length, and the Cartesian coordinate values of X, Y, and Z are non-dimensional values convertible to dimensional distances.
Description
BACKGROUND OF THE INVENTION

The subject matter disclosed herein relates to compressor rotor blades, and more specifically, to a second stage compressor rotor blade.


Compressors are used in a variety of industries and systems to compress a gas, such as air. For example, gas turbine engines typically include a compressor to provide compressed air for combustion and cooling. Compressors typically include a rotor assembly and a stator assembly. In multi-stage compressors, the rotor assembly may include multiple rows (e.g., rotor stages) each row having multiple rotor blades. Likewise, the stator assembly may include multiple rows (e.g., stator stages) each row having multiple stator vanes. The rotor assembly is designed to rotate with respect to the stator assembly, compressing an intake fluid as the fluid traverses the compressor.


BRIEF DESCRIPTION OF THE INVENTION

Certain embodiments commensurate in scope with the originally claimed subject matter are summarized below. These embodiments are not intended to limit the scope of the claimed invention, but rather these embodiments are intended only to provide a brief summary of possible forms of the subject matter. Indeed, the invention may encompass a variety of forms that may be similar to or different from the embodiments set forth below.


In a first embodiment, a system includes an airfoil. The airfoil includes a first suction portion of a nominal airfoil profile substantially in accordance with Cartesian coordinate values of X, Y, and Z of a suction side as set forth in TABLE I to a maximum of three decimal places, wherein the X and Y values of the suction side are coordinate values that couple together to define suction side sections of the first suction portion of the nominal airfoil profile at each Z coordinate value, the suction side sections of the first suction portion of the nominal airfoil profile are coupled together to define the first suction portion, the airfoil includes an airfoil length along a Z axis, the first suction portion comprises a first portion length along the Z axis, the first portion length is less than or equal to the airfoil length, and the Cartesian coordinate values of X, Y, and Z are non-dimensional values convertible to dimensional distances.


In a second embodiment, a system includes an airfoil. The airfoil includes a suction side of a nominal airfoil profile substantially in accordance with Cartesian coordinate values of X, Y, and Z of the suction side as set forth in TABLE I to a maximum of three decimal places, wherein the X and Y values of the suction side are coordinate values that couple together to define suction side sections of the suction side of the nominal airfoil profile at each Z coordinate value, the suction side sections of the suction side of the nominal airfoil profile are coupled together to define the suction side, and the Cartesian coordinate values of X, Y, and Z are non-dimensional values convertible to dimensional distances.


In a third embodiment, a system includes an airfoil. The airfoil includes a nominal airfoil profile substantially in accordance with Cartesian coordinate values of X, Y, and Z as set forth in TABLE I to a maximum of three decimal places, wherein the X and Y values are coordinate values that couple together to define airfoil sections of the nominal airfoil profile at each Z coordinate value, the airfoil sections of the nominal airfoil profile are coupled together to define an entirety of the airfoil, and the Cartesian coordinate values of X, Y, and Z are non-dimensional values convertible to dimensional distances.





BRIEF DESCRIPTION OF THE DRAWINGS

These and other features, aspects, and advantages of the present subject matter will become better understood when the following detailed description is read with reference to the accompanying drawings in which like characters represent like parts throughout the drawings, wherein:



FIG. 1 is a block diagram of an embodiment of a gas turbine system having a multi-stage axial compressor;



FIG. 2 is a cross-sectional side view of an embodiment of the gas turbine engine of FIG. 1, illustrating stages of blades and vanes of the multi-stage axial compressor;



FIG. 3 is side view of an embodiment of an airfoil of a compressor rotor blade or a compressor stator vane;



FIG. 4 is side view of an embodiment of an airfoil of a compressor rotor blade or a compressor stator vane;



FIG. 5 is a side view of an embodiment of an airfoil of the compressor rotor blade or a compressor stator vane; and



FIG. 6 is an axial view of an embodiment of the airfoil of the compressor rotor blade or compressor stator vane of FIGS. 3-5.





DETAILED DESCRIPTION OF THE INVENTION

One or more specific embodiments of the present subject matter will be described below. In an effort to provide a concise description of these embodiments, all features of an actual implementation may not be described in the specification. It should be appreciated that in the development of any such actual implementation, as in any engineering or design project, numerous implementation-specific decisions must be made to achieve the developers' specific goals, such as compliance with system-related and business-related constraints, which may vary from one implementation to another. Moreover, it should be appreciated that such a development effort might be complex and time consuming, but would nevertheless be a routine undertaking of design, fabrication, and manufacture for those of ordinary skill having the benefit of this disclosure.


When introducing elements of various embodiments of the present subject matter, the articles “a,” “an,” “the,” and “said” are intended to mean that there are one or more of the elements. The terms “comprising,” “including,” and “having” are intended to be inclusive and mean that there may be additional elements other than the listed elements.


The disclosed embodiments include a multi-stage axial compressor, which may be a standalone unit or part of a multi-stage rotary machine such as a gas turbine system. In certain embodiments, the multi-stage axial compressor includes a plurality of rotor stages and corresponding stator stages, each rotor stage and stator stage including a plurality of airfoils (e.g., blades or vanes) with a specific airfoil profile. During operation, a compressible fluid (e.g., gas such as air, oxygen, oxygen enriched air, oxygen reduced air, exhaust gas, nitrogen, etc.) may enter the multi-stage axial compressor through an inlet system, and each stage of the multi-stage axial compressor will generally increase the pressure and temperature of the compressible fluid by a certain amount. In a gas turbine system, a compressed fluid may then be delivered, for example, via an outlet system, to a combustor for combustion with a fuel. The amount of pressure and temperature increase at each stage of the multi-stage axial compressor may depend on particular operating conditions, such as speed, inlet boundary conditions (e.g., flow, pressure, temperature, composition, and so forth), outlet boundary conditions (e.g., flow resistance, and so forth), and stage efficiency.


During compression, an energy level of the compressible fluid may increase as the compressible fluid flows through the multi-stage axial compressor due to the exertion of a torque on the fluid by the rotating rotor blades. The stator's stationary vanes slow the compressible fluid, converting a circumferential component of the flow into pressure. An airfoil profile or design of the airfoil (e.g., rotor blades and/or stator vanes) may directly affect compression of the compressible fluid. Airfoil profiles described herein may be more optimized and matched for specific velocities and turning speeds. Further, the airfoil profiles described herein may be more optimized for specific stages of the multi-stage axial compressor with a specific total number of stages. Additionally, the airfoil profiles described herein may be designed for compressor rotor blades, compressor stator vanes, or any combination thereof. In certain embodiments, the airfoil profiles described herein may be designed for compressor rotor blades and/or compressor stator vanes in any one or more stages of a multi-stage axial compressor with 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, or 20 stages. More specifically, in certain embodiments, the airfoil profiles described herein may be designed for compressor rotor blades and/or compressor stator vanes in stage 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, and/or 14 of a 14 stage axial compressor. For example, in certain embodiments, the airfoil profiles described herein may be more optimized for a second stage airfoil (e.g., a rotor blade or stator vane) of a 14 stage axial compressor. The airfoils (e.g., blades or vanes) described herein may be described in terms of X, Y, and Z values set forth in certain table(s) described herein that define airfoil sections of the airfoils. In certain embodiments the X, Y, and Z values may describe suction side airfoil surfaces, pressure side airfoil surfaces, or a combination thereof. The X, Y, and Z values may include coordinate values in a Cartesian coordinate system, including negative and positive values denoting sides that are opposite to each other from a certain axis (e.g., X, Y, Z axis).


Turning now to FIG. 1, the figure is a block diagram of an embodiment of a turbine system 10 that includes a gas turbine engine 12 and a controller 14 (e.g., electronic and/or processor-based controller). The controller 14 may be communicatively coupled to a variety of sensors 16 and actuators 18 disposed in various components of the gas turbine engine 12. Signals received via the sensors 16 may be used to derive control actions executable via the actuators 18. The illustrated gas turbine engine 12 includes a compressor 20 (e.g., a multi-stage axial compressor or compressor section), a turbine 22 (e.g., a multi-stage turbine or turbine section), and fuel nozzles 24 coupled to one or more combustors 26 (e.g., compressor section). The compressor 20 and turbine 22 each may have any number of rows stages of rotor blades and stator vanes (e.g., 1 to 20). As discussed in detail below, an embodiment of an airfoil profile is provided for use with airfoils (e.g., rotor blades or stator vanes) in one or more stages of the compressor 20. However, before presenting details of the airfoil profile, the following discussion provides a brief description of the gas turbine engine 12 and its operation.


In operation, the compressor 20 is configured to compress a compressible fluid (e.g., gas such as air, oxygen, and/or exhaust gas), and deliver the compressed fluid to the fuel nozzles 24 and/or combustors 26. Although the compressible fluid may include any suitable gas, the following discussion may generally refer to the compressible fluid as an oxidant (e.g., air) as one non-limiting example. The fuel nozzles 24 are configured to supply fuel (e.g., from one or more fuel supplies) into the one or more combustors 26 (e.g., in combustion chambers), which combust the fuel with the oxidant (e.g., air) to generate hot combustion gases to drive the turbine 22. The fuel nozzles 24 may be designed as pre-mix fuel nozzles 24 and/or diffusion fuel nozzles 24. Pre-mix fuel nozzles 24 mix the fuel with the oxidant (e.g., air) to create pre-mix type flames. Diffusion fuel nozzles 24 do not premix the fuel with the oxidant, and thus create diffusion type flames. Regardless of the type of flames, the hot combustion gas flows from the combustors 26 into the turbine 22, thereby driving rotation of one or more stages of turbine blades coupled to a turbine rotor and shaft 30 along an axis 32. Eventually, the hot combustion gas exits the turbine 22 through an exhaust outlet 28 (e.g., exhaust stack, exhaust end). In the illustrated embodiment, the shaft 30 is coupled to the compressor 20 and a load 36, such that rotation of the shaft 30 also drives rotation of the compressor 20 and the load 36. The compressor 20 may intake the oxidant (e.g., air) through an air intake 34, which may include filters, thermal control systems, or any other preconditioning systems. The load 36 may include an electrical generator, a rotary machine, a propulsion system of a vehicle, or any other suitable device.


The airfoil profile described in further detail below may be used in any stage of the compressor 20 (e.g., multi-stage axial compressor with any number of stages of rotor blades and stator vanes). The compressor 20 may include rotating blades and stationary vanes (e.g., airfoils) that may be disposed in rows or stages, described in more detail below. The oxidant (e.g., air) may be progressively compressed in stages or rows of rotating blades and corresponding stator vanes as the air moves downstream in the compressor 20. In the depicted embodiment, the compressor 20 is a multi-stage axial compressor 20 having at least two rows or stages of blades and vanes. For example, in certain embodiments, the multi-stage axial compressor 20 may have 14 rows or stages of compressor blades and vanes.


It may be beneficial to illustrate a more detailed view of certain components of the gas turbine engine 12. Accordingly, FIG. 2 is a cross-sectional side view of an embodiment of the compressor 20 of the gas turbine engine 12 of FIG. 1. Throughout the discussion of FIG. 2, a set of axes will be referenced. These axes are based on a cylindrical coordinate system and point in an axial direction 38 (e.g., downstream), a radial direction 40, and a circumferential direction 42. For example, the axial direction 38 extends downstream through the compressor 20 generally parallel to the axis 32, the radial direction 40 extends away from the axis 32, and the circumferential direction 42 extends around the axis 32.


In operation, air enters the compressor 20 in the axial direction 38 through the air intake 34 and may be pressurized in the multi-stage axial compressor 20. The compressed air may then be mixed with fuel for combustion within the combustor 26 to drive the turbine 22 to rotate the shaft 30 in the circumferential direction 42 and, thus, the multi-stage axial compressor 20 and the load 36. The rotation of the shaft 30 also causes one or more blades 44 (e.g., compressor rotor blades) within the multi-stage axial compressor 20 to draw in and pressurize the air received by the air intake 34.


The multi-stage axial compressor 20 may include a rotor assembly 46 having multiple rotor blades 44 surrounded by a static casing 48 having multiple stator vanes 50 (e.g., variable stator vanes and/or fixed stator vanes). In some embodiments, the static casing 48 of the compressor 20 or the air intake 34 may have one or more sets of inlet guide vanes 52 (IGVs) (e.g., variable IGV stator vanes) that may control flows into the compressor 20. Each variable stator vane 50 (including each variable IGV stator vane 52) may be configured to vary its vane angle relative to the gas flow (e.g. air flow) by rotating the vane 50, 52 about an axis of rotation (e.g., radially oriented vane shaft). However, each variable stator vane 50 may be otherwise stationary relative to the rotor blades 44. In certain embodiments, each variable stator vane 50 may be coupled to an actuator 18 (e.g., electric drive, pneumatic drive, or hydraulic drive), which is coupled to a controller 14 configured to vary the vane angle in response to feedback from sensors 16. Each fixed stator vane 50 may be configured to remain in a fixed angular position, such that the vane angle does not vary. The compressor 20 may include a plurality of rows or stages 54, such as between 2 to 30, 2 to 25, 2 to 20, 2 to 14, or 2 to 10 rows or stages, or any specific number or range therebetween. In each stage, the multi-stage axial compressor 20 may include 2 to 1000, 5 to 500, or 10 to 100 rotor blades 44, and 2 to 1000, 5 to 500, or 10 to 100 stator vanes 50. In particular, the illustrated embodiment of the multi-stage axial compressor 20 includes 14 stages. It may be appreciated that each stage 54 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 20. In other words, each stage 54 has the rotor blades 44 and stator vanes 50 axially offset from one another, such that the compressor 20 has an alternating arrangement of rotor blades 44 and stator vanes 50 one set after another along the length of the compressor 20. Each set of rotor blades 44 extends (e.g., in a spaced arrangement) in the circumferential direction 42 about the shaft 30, and each set of stator vanes 50 extends (e.g., in a spaced arrangement) in the circumferential direction 42 within the static casing 48. While the compressor 20 may include greater or fewer stages 54 than 14, FIG. 2 illustrates an embodiment of the compressor 20 with 14 stages 54 identified as follows: first stage 54a, second stage 54b, third stage 54c, fourth stage 54d, fifth stage 54e, sixth stage 54f, seventh stage 54g, eighth stage 54h, ninth stage 54i, tenth stage 54j, eleventh stage 54k, twelfth stage 54l, thirteenth stage 54m, and fourteenth stage 54n. In certain embodiments, each stage 54 may include rotor blades 44 and stator vanes 50 (e.g., fixed stator vanes 50 and/or variable stator vanes 50). For example, in certain embodiments, earlier stages 54 (e.g., 54a, 54b, 54c, etc.) may include variable stator vanes 50, while later stages 54 may include fixed stator vanes 50.


The airfoil described in the TABLE I below may describe either a rotor blade 44 or a stator vane 50 of the compressor 20. For example, the airfoil described in the TABLE I below may be placed as a rotor blade 44 of the second stage 54b. In use, the rotor blades 44 may rotate circumferentially about the static casing 48 and the stator vanes 50. Rotation of the rotor blades 44 may result in air entering the air intake 34. The air is then subsequently compressed as it traverses the various stages 54 (e.g., first stage 54a to fourteenth stage 54n) of the compressor 20 and moves in the axial direction 38 downstream of the multi-stage axial compressor 20. The compressed air may then exit through an outlet 56 of the multi-stage axial compressor 20. The outlet 56 may have a set of exit guide vanes 58 (EGVs). The compressed air that exits the compressor 20 may be mixed with fuel, directed to the combustor 26, directed to the turbine 22, or elsewhere in the turbine system 10.


Certain designs of the rotor blades 44 and stator vanes 50 (e.g., airfoils) provide for a more efficient multi-stage axial compressor 20 system. For example, certain rotor blade and/or stator vane (e.g., airfoil) designs may improve compressor 20 efficiency and enable improved operations for the turbine system 10. Referring now to FIG. 3, the figure is a side view of an embodiment of an airfoil 82 that may be included in the multi-stage axial compressor 20 as a rotor blade 44 or stator vane 50. In the particular embodiment, the airfoil 82 may be included in the second stage 54b of the multi-stage axial compressor 20 as a rotor blade 44. In the depicted embodiment, the airfoil 82 is disposed on a base 60, which may, in certain embodiments, be removably coupled as a rotor blade 44 to the rotor assembly 46. That is, the base 60 having the airfoil 82 may be removed from the rotor assembly 46, for example, to inspect, repair, and/or replace the airfoil 82. Additionally, or in the alternative, the airfoil 82 may be removably coupled as a stator vane 50 to the static casing 48. That is, the base 60 having the airfoil 82 may be removed from the static casing 48, for example, to inspect, repair, and/or replace the airfoil 82. The base 60 may include a removable mount or coupling 59, such as a dovetail joint. For example, the coupling 59 may include a T-shaped structure, a hook, one or more lateral protrusions, one or more lateral slots, or any combination thereof. The coupling 59 (e.g., dovetail joint) may be configured to mount into the rotor assembly 46 or the static casing 48 in an axial direction 38, a radial direction 40, and/or a circumferential direction 42 (e.g., into an axial slot or opening, a radial slot or opening, and/or a circumferential slot or opening).


As further described herein, the airfoil 82 includes a suction side 62 and a pressure side 64 disposed opposite from one another on the airfoil 82 (i.e., opposite faces). The airfoil 82 also includes leading and trailing edges 61 and 63 disposed opposite from one another on the airfoil 82 (e.g., opposite upstream and downstream edges). The suction side 62, the pressure side 64, the leading edge 61, and the trailing edge 63 generally extend from the base 60 to a tip 68 of the airfoil 82. The leading and trailing edges, 61 and 63 respectively, may be described as the dividing or intersecting lines between the suction side 62 and the pressure side 64. In other words, the suction side 62 and the pressure sides 64 couple together with one another along the leading edge 61 and the trailing edge 63, thereby defining an airfoil shaped cross-section that gradually changes lengthwise along the airfoil 82. The airfoil profile described in further detail below may be utilized along any portion or the entirety of the airfoil 82 between the base 60 and the tip 68. For example, the portion having the disclosed airfoil profile may include all or part of the suction side 62, all or part of the pressure side 64, or a combination thereof.


In operation, the rotor blades 44 rotate about an axis 66 exerting a torque on a working fluid, such as air, thus increasing energy levels of the fluid as the working fluid traverses the various stages 54 of the multi-stage axial compressor 20 on its way to the combustor 26. The suction side 62 creates and/or increases a suction force on the working fluid, while the pressure side 64 creates and/or increases a pressure bias on the working fluid. The rotor blades 44 may be adjacent (e.g., upstream and/or downstream) to the one or more stationary stator vanes 50. The stator vanes 50 slow the working fluid during rotation of the rotor blades 44, converting a circumferential component of movement of the working fluid flow into pressure. Accordingly, continuous rotation of the rotor blade 44 creates a continuous flow of compressed working fluid, suitable for combustion via the combustor 26.


The airfoil 82 (e.g., rotor blade 44, stator vane 50) includes an airfoil length L measured from the tip 68 of the airfoil 82 to a bottom region 70 of the airfoil 82 adjacent the base 60 (e.g., at an intersection of the airfoil 82 with the base 60). An X axis 72 lies parallel to the base 60 and to the rotational axis 66. The rotational axis 66 may be parallel to the axis 32 or the shaft 30. The X axis 72 is orthogonal to a Z axis 74 which bisects the airfoil 82. A Y axis 76 (shown coming out of the plane of the drawing) is orthogonal to both the X axis 72 and the Z axis 74. The X axis 72 and the Y axis 76 may be used to define an airfoil profile, shape, or section, for example, taken through line 6-6 at a point along the Z axis 74. That is, the airfoil profile may include an outline of the surface (e.g., section) of the airfoil 82 (e.g., rotor blade 44, stator vane 50) at a point along the Z axis 74. The airfoil profile may include X, Y, and Z values for the suction side 62, and X, Y, and Z values for the pressure side 64. A Cartesian coordinate system point 78 (e.g., origin) may be used to define a zero point for the X axis 72, the Z axis 74, and the Y axis 76 of the respective airfoil 82. TABLE I below lists various non-dimensionalized airfoil shapes for the suction side 62 and the corresponding pressure side 64 disposed at locations along the Z axis 74 from the bottom region 70 to the tip 68 of the airfoil 82.


The airfoil 82 may be described in terms of certain airfoil sections containing various air foil shapes and corresponding rows of the TABLE I. For example, as illustrated in FIG. 4, the airfoil 82 may be described via airfoil shapes disposed on one or more portions 80. In certain embodiments, the portion 80 of the airfoil 82 may be described as an area of interest, an area of greater importance, or a sweet spot, wherein the particular airfoil profile may have a greater impact on the performance, efficiency, and other attributes of the airfoil 82 as compared with other areas of the airfoil 82. However, the portion 80 may include any area of the airfoil 82, regardless of importance. The one or more portions 80 may include a suction side portion of the suction side 62, a pressure side portion of the pressure side 64, or any combination thereof. For example, the one or more portions 80 may include suction side portions 62 and pressure side portions 64 that are offset from one another without any overlap along the Z axis 74, suction side portions 62 and pressure side portions 64 that partially overlap along the Z axis 74, or suction side portions 62 and pressure side portions 64 that completely overlap along the Z axis 74. Portion 80 is shown as a rectangle in dashed lines. More specifically, FIG. 4 is a side view of an embodiment of the airfoil 82 illustrating the portion 80. As described above, the airfoil 82 may be the rotor blade 44 or the stator vane 50, such as the rotor blade 44 of the second stage 54b. Because the figure depicts like elements to FIG. 3, the like elements are illustrated with like numbers. In the depicted embodiment, the airfoil 82 includes the length L (e.g., total length), as mentioned previously, measured along the Z axis 74 (e.g., in the radial direction 40) from the tip 68 of the airfoil 82 to the bottom region 70 of the airfoil 82.


The portion 80 may begin at a distance or position d and include a length l extending away from the base 60 in the Z direction along the Z axis 74. As appreciated, in embodiments having one or more suction side portions 80 on the suction side 62 and/or one or more pressure side portions 80 on the pressure side 64, each portion 80 may be defined by a length l and a position d. A zero value of the position d corresponds to the bottom region 70 of the airfoil 82 adjacent the base 60 (e.g., at an intersection of the airfoil 82 with the base 60), which also corresponds to the coordinate origin 78. When d is zero and l is equal to L, the portion 80 includes the entirety of the airfoil 82 from the bottom region 70 to the tip 68 of the airfoil 82. By varying values for d and 1, portions 80 having varying lengths and start locations from the coordinate origin 78 may be provided for defining the area of interest (e.g., sweet spot) along the airfoil 82. Each portion 80 may include one or more adjacent airfoil shapes (e.g., airfoil sections or airfoil shapes 110) “stacked” on top of each other along the Z axis 74, described in more detail below with respect to FIG. 6 and TABLE I below. Each airfoil section or airfoil shape 110 corresponds to Cartesian coordinate values of X, Y, and Z for a common Cartesian coordinate value of Z in TABLE I. Furthermore, adjacent airfoil sections or airfoil shapes 110 correspond to the Cartesian coordinate values of X, Y, and Z for adjacent Cartesian coordinate values of Z in the TABLE I.


With reference to TABLE I, the position d may be used to define a start position (e.g., first Cartesian coordinate value of Z) of the portion 80 in the Z direction along the Z axis 74, while a sum of the position d and the length l may be used to define an end position (e.g., last Cartesian coordinate value of Z) of the portion 80 in the Z direction along the Z axis 74. In certain embodiments, the position d (e.g., start position) may be selected directly from one of the Cartesian coordinate values of Z in TABLE I, and the sum of the position d and the length l (e.g., end position) may be selected directly from one of the Cartesian coordinate values of Z in TABLE I. In other embodiments, the desired values of the position d and the length l may be initially selected without referencing TABLE I, and then TABLE I may be subsequently analyzed to select best fits of the Cartesian coordinate values of Z in TABLE I based on the desired values of d and 1. For example, with reference to TABLE I, the start position of the portion 80 may correspond to the Cartesian coordinate value of Z equal to or nearest to the value of the position d (e.g., start Z value). If the position d is midway between adjacent Cartesian coordinate values of Z in TABLE I, then the lesser or greater Cartesian coordinate value of Z may be selected for the start position of the portion 80 (e.g., start Z value). Alternatively, in some embodiments, if a specific value of the position d is desired but does not match the specific Cartesian coordinate values of Z in TABLE I, then regression analysis and/or curve fitting may be used to analyze the data in TABLE I and interpolate new Cartesian coordinate values of X, Y, Z to enable use of the desired d value. Similarly, with reference to TABLE I, the end position (e.g., end Z value) may correspond to the Cartesian coordinate value of Z equal to or nearest to the sum of the position d and the length l. If the sum of the position d and the length l is midway between adjacent Cartesian coordinate values of Z in TABLE I, then the lesser or greater Cartesian coordinate value of Z may be selected for the end position (e.g., end Z value). Alternatively, in some embodiments, if a specific value of the length l is desired but the sum of the position d and the length l does not match the specific Cartesian coordinate values of Z in TABLE I, then regression analysis and/or curve fitting may be used to analyze the data in TABLE I and interpolate new Cartesian coordinate values of X, Y, Z to enable use of the desired l value.


In certain embodiments, the portion 80 may be defined by the Cartesian coordinate values of X, Y, and Z corresponding to the start Z value, the end Z value, and all intermediate Z values in TABLE I. However, in some embodiments, if the Z values do not match the desired start and end positions, then the portion 80 may be defined by the Cartesian coordinate values of X, Y, and Z in TABLE I in the Z direction between the start and end positions (e.g., based on the position d and length l). Furthermore, as discussed herein, the portion 80 may include the Cartesian coordinate values of X, Y, and Z for the suction side 62 (e.g., suction side profile 112—see FIG. 6), the pressure side 64 (e.g., pressure side profile—see FIG. 6), or a combination thereof.


In certain embodiments, the portion 80 may include the airfoil profile of TABLE I only for the suction side 62 according to the position d and length 1, only for the pressure side 64 according to the position d and length 1, or for both the suction and pressure sides 62 and 64 according to the position d and length 1. The position d of the portion 80 may be greater than or equal to approximately 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, or 75 percent of the length L of the airfoil 82. Furthermore, the length l of the portion 80 may be greater than or equal to approximately 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, or 100 percent of the length L of the airfoil 82. For example, the portion 80 selected from TABLE I may be the suction side 62 of the outer third of the airfoil 82. In another example, the portion 80 selected from TABLE I may be both the suction side 62 and the pressure side 64 of an interior portion 80 of the airfoil 82, where d is greater than 0 and l is less than L (e.g., 1=0.3L).


Additionally or alternatively, a portion of the airfoil 82, such as portion 80, may be described in terms of a start height (e.g., first position) and a stop height (e.g., second position) along the Z axis 74 (e.g., in the radial direction 40) as illustrated in FIG. 5. Collectively, the start and stop heights (e.g., first and second positions) define a range along the Z axis 74. Again, the portion (e.g., 80) of the airfoil 82 may be described as an area of interest, an area of greater importance, or a sweet spot, wherein the particular airfoil profile may have a greater impact on the performance, efficiency, and other attributes of the airfoil 82 as compared with other areas of the airfoil 82. However, the portion (e.g., 80) may include any area of the airfoil 82, regardless of importance. For example, as shown in FIG. 5, an embodiment of the airfoil 82 is illustrated with multiple defined heights 90, 92, 94, 96, 98, and 100 along the Z axis 74. The heights 90, 92, 94, 96, 98, and 100 may divide the airfoil 82 into a plurality of portions along the Z axis 74, wherein the plurality of portions may have equal lengths along the Z axis 74 (e.g., five portions each being 20 percent of the total length L of the airfoil 82). However, in some embodiments, the plurality of portions defined by the heights 90, 92, 94, 96, 98, and 100 may have different lengths along the Z axis 74. Although the illustrated embodiment includes 6 heights (e.g., 90, 92, 94, 96, 98, and 100) defining 5 portions, certain embodiments may include any number of heights (e.g., 2 to 100 or more) defining any number of portions (e.g., 2 to 100 or more) with equal or different lengths along the Z axis 74.


For example, certain embodiments may include 11 heights to define 10 portions with equal or different lengths along the Z axis 74 (e.g., 10 portions each being 10 percent of the total length L of the airfoil 82). By further example, certain embodiments may include 101 heights to define 100 portions with equal or different lengths along the Z axis 74 (e.g., 100 portions each being 1 percent of the total length L of the airfoil 82). In this manner, the heights may be used to define a specific portion (e.g., 80) of the airfoil 82, wherein the specific portion (e.g., area of interest) may track the airfoil profile described below in TABLE I. Again, similar to the discussion of FIG. 4, the specific portion (e.g., 80) defined by the heights in FIG. 5 may track the airfoil profile of TABLE I along only the suction side 62, only the pressure side 64, or both the suction and pressure sides 62 and 64. Because FIG. 5 depicts like elements to FIG. 4, the like elements are illustrated with like numbers.


In the illustrated embodiment, the portion (e.g., 80) may be defined by the start height and the stop height, wherein the start height is closer to the bottom region 70 than the stop height, and each of the start and stop heights may be selected from one of the heights 90, 92, 94, 96, 98, or 100. Multiple start and stop heights 90, 92, 94, 96, 98, 100 may be defined to divide the airfoil 82 and define the portion (e.g., 80). For example, a first start height 92 and a first stop height 90 may describe a first section or segment 102 (e.g., portion 80) of the airfoil 82, a second start height 96 and a second stop height 92 may describe a second section or segment 104 (e.g., portion 80) of the airfoil 82, and a third start height 96 and a third stop height 94 may describe a third section or segment 106 (e.g., portion 80) of the airfoil 82. As shown in FIG. 5, each height 90, 92, 94, 96, 98, 100 may define a start height for a segment, a stop height for the segment, or a start height for one segment and a stop height for another segment. Each of the heights 90, 92, 94, 96, 98, 100 may be selected to correspond to a different Cartesian coordinate value of Z in TABLE I. In certain embodiments, each of the heights 90, 92, 94, 96, 98, 100 may be selected directly from one of the Cartesian coordinate values of Z in TABLE I. In other embodiments, the desired values of the heights 90, 92, 94, 96, 98, 100 may be initially selected without referencing TABLE I, and then TABLE I may be subsequently analyzed to select best fits of the Cartesian coordinate values of Z in TABLE I based on the desired values of the heights 90, 92, 94, 96, 98, 100. For example, each of the heights 90, 92, 94, 96, 98, 100 may correspond to the Cartesian coordinate value of Z equal to or nearest to the value of the particular height 90, 92, 94, 96, 98, or 100. If the height 90, 92, 94, 96, 98, or 100 is midway between adjacent Cartesian coordinate values of Z in TABLE I, then the lesser or greater Cartesian coordinate value of Z may be selected for the particular height 90, 92, 94, 96, 98, or 100. Alternatively, in some embodiments, if specific heights are desired but do not match the specific Cartesian coordinate values of Z in TABLE I, then regression analysis and/or curve fitting may be used to analyze the data in TABLE I and interpolate new Cartesian coordinate values of X, Y, Z to enable use of the desired heights. In some embodiments, if the Z values do not match the desired heights, then the portion 80 may be defined by the Cartesian coordinate values of X, Y, and Z in TABLE I in the Z direction between the start and stop heights. Furthermore, with reference to TABLE I, the overall height dimension of each segment (e.g., 102, 104, 106) may be equal to an absolute value of the difference between the start and stop heights (e.g., Cartesian coordinate values of Z) for the particular segment. In certain embodiments, an offset or correction value may be used to account for negative values in TABLE I. For example, certain components of the airfoil 82, such as the bottom region 70, may be disposed below the origin point 78 by a distance 108, and thus certain Z values may be negative denoting sections of airfoil 82 below the origin point 78. Accordingly, the offset may be equal to an absolute value of the smallest negative value given in TABLE I.


As mentioned earlier with respect to the portion 80 of FIG. 4, the sections 102, 104, and 106 (e.g., portion 80) of FIG. 5 may include one or more airfoil shapes, profiles, or sections, such as an airfoil shape shown in FIG. 6. More specifically, FIG. 6 is a cross-sectional top view depicting an embodiment of an airfoil shape 110 taken through line 6-6 of FIGS. 3, 4, and 5, wherein the airfoil shape 110 may be included, for example, in the portion 80 of the airfoil 82 (e.g., rotor blade 44, stator vane 50). As mentioned earlier, the airfoil 82 may be described in terms of one or more airfoil shapes (e.g., sections) “stacked” on top of each other along the Z axis 74, such as the depicted airfoil shape 110. To define the airfoil shape 110, a unique set or loci of points in space are provided in TABLE I.


A Cartesian coordinate system of X, Y, and Z values given in TABLE I below defines a suction side profile 112 and a pressure side profile 114 of the airfoil shape 110 at various locations along the airfoil 82. For example, point 116 defines a first pair of suction side X and Y values at the Z value of line 6-6 of FIGS. 3-5, while point 118 defines a second pair of pressure side X and Y values at the same Z value of FIGS. 3-5. The X, Y, and Z values of TABLE I 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 scale factor F. The scale factor F may be substantially equal to 1, greater than 1, or less than 1. For example, the Cartesian coordinate values of X, Y, and Z may be convertible to dimensional distances by multiplying the X, Y, and Z values by a constant number (e.g., 100). The number, 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., 1{right arrow over (1/2,)} 10¼, etc.). The dimensional distances may be any suitable format (e.g., inches, feet, millimeters, centimeters, etc.) These values exclude a coated region or coatings 120 of the airfoil 82. In other words, these values correspond to the bare surface of the airfoil 82. The coated region 120 may include one or more coating layers, surface treatments, or a combination thereof, over the bare surface of the airfoil 82. The Cartesian coordinate system of FIG. 6 utilizes the same orthogonally-related X axis 72, Y axis 76, and Z 74 as the Cartesian coordinate system of FIGS. 3-5 to define locations on the airfoil shape 110 for both the suction side profile 112 and the pressure side profile 114 along the length L of the airfoil 82.


The X axis 72 and the Y axis 76 lie parallel to the base 60, as illustrated in the previous figures. In some embodiments, a positive X coordinate value is axial in the downstream axial direction 38 toward the aft, for example the exhaust outlet 28 of the multi-stage axial compressor 20. In some embodiments, a positive Y coordinate value is directed normal to the X axis 72. A positive Z coordinate value is directed radially from the X axis 72 and the Y axis 76 outward toward tip 68 of the airfoil 82, which is towards the static casing 48 of the multi-stage axial compressor 20 for rotor blades 44, and directed radially inward towards the shaft 30 of the multi-stage axial compressor 20 for stator vanes 50.


By defining X and Y coordinate values at selected locations in a Z direction normal to the X-Y plane, the airfoil shape 110, with its suction side profile 112 and pressure side profile 114, may be defined, for example, by connecting each X and Y coordinate value to adjacent X and Y coordinate values with smooth continuing arcs. The suction side profile 112 is joined to the pressure side profile 114, as shown in FIG. 6, to define the airfoil shape 110. The airfoil shapes 110 (e.g., sections) of the airfoil 82 at various surface locations (e.g., heights) between the Z coordinate values may be determined by smoothly connecting the adjacent (e.g., “stacked”) airfoil shapes 110 to one another, thus forming the airfoil 82. It may be appreciated that the airfoil shape 110 of the airfoil 82 may change from the base 60 to the tip 68. For example, adjacent airfoil shapes 110 may taper or expand in one or more directions (e.g., X axis 72, Y axis 76), adjacent airfoil shapes 110 may rotate about an axis (e.g., Z axis 74) in a clockwise direction or a counter-clockwise direction, or any combination thereof. It is also to be noted that TABLE I values represent the Cartesian coordinate values for the airfoil 82 at ambient, non-operating or non-hot conditions. Additionally, TABLE I values represent the Cartesian coordinate values for an uncoated airfoil (i.e., without coatings 120). For a coated airfoil, a thickness t of the coating 120 may be added to each of the X, Y values of TABLE I below.


The X, Y, and Z coordinate values of TABLE I below are non-dimensional values convertible to dimensional distances with the scale factor F. That is, the X, Y, and Z values of TABLE I may be scaled as a function of the same scale factor F (e.g., constant or number) to provide a scaled-up or a scaled-down airfoil. Thus, TABLE I defines the relationships between the X, Y, and Z coordinate values without specifying the units of measure (e.g., dimensional units) for an embodiment of the airfoil 82. Accordingly, while different scale factors F may be applied to the X, Y, and Z coordinate values of TABLE I to define different embodiments of the airfoil 82, each embodiment of the airfoil 82 regardless of the particular scale factor F is considered to be defined by the X, Y, and Z coordinate values of TABLE I. For example, the X, Y, and Z coordinate values of TABLE I define a first embodiment of the airfoil 82 formed with a 1:1 inch scale factor F, a second embodiment of the airfoil 82 formed with a 1:2 inch scale factor F, and a third embodiment of the airfoil 82 formed with a 1:1 cm scale factor F. It may be appreciated that any scale factor F may be used with the X, Y, and Z coordinate values of TABLE I, according to the design considerations of a particular embodiment.


The TABLE I values below are computer-generated and shown to five decimal places. However, certain values in TABLE I may be shown to less than five decimal places (e.g., 0, 1, 2, 3, or 4 decimal places), because the values are rounded to significant figures, the additional decimal places would merely show trailing zeroes, or a combination thereof. Accordingly, in certain embodiments, any values having less than five decimal places may be shown with trailing zeroes out to 1, 2, 3, 4, or 5 decimal places. Furthermore, in some embodiments and in view of manufacturing constraints, actual values useful for forming the airfoil 82 are may be considered valid to fewer (e.g., one, two, three, or four) decimal places for determining the airfoil shape 110 of the airfoil 82. Further, there are typical manufacturing tolerances which may be accounted for in the airfoil shape 110. Accordingly, the X, Y, and Z values given in TABLE I are for the airfoil shape 110 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 82 having a profile substantially in accordance with those values includes such tolerances. For example, in certain embodiments, a manufacturing tolerance of about ±between 0.001 to 0.20 inches (e.g., between 0.025 to 5 mm) is within design limits for the airfoil 82, and a manufacturing tolerance of about ±0.0008 to 0.1 inches (e.g., 0.02 to 2.5 mm) may be maintained during manufacturing. Accordingly, the values of X and Y carried to three decimal places and having a manufacturing tolerance about ±0.010 inches (0.25 mm) and preferably about ±0.008 inches (0.20 mm) is acceptable to define the airfoil shape 110 of the airfoil 82 at each radial position (e.g., Z coordinate, height) throughout its entire length. As used herein, any reference to Cartesian coordinate values of X, Y, and Z as set forth in TABLE I to a maximum of N decimal places is intended to include: (1) values to N decimal places if shown in TABLE I with N or greater decimal places, and (2) values to less than N decimal places if shown in TABLE 1 with less than N decimal places, wherein N may be 0, 1, 2, 3, 4, or 5. For example, any reference to Cartesian coordinate values of X, Y, and Z as set forth in TABLE I to a maximum of three (3) decimal places is intended to include: (1) values to three (3) decimal places if shown in TABLE I with three (3) or greater decimal places, and (2) values to less than three (3) decimal places if shown in TABLE 1 with less than three (3) decimal places (e.g., 0, 1, or 2 decimal places). Furthermore, any reference to Cartesian coordinate values of X, Y, and Z as set forth in TABLE I all carried to N decimal places is intended to include: (1) values to N decimal places if shown in TABLE I with N or greater decimal places, and (2) values with trailing zeros to N decimal places if shown in TABLE 1 with less than N decimal places, wherein N may be 0, 1, 2, 3, 4, or 5.


As noted previously, the airfoil 82 may also be coated for protection against corrosion, erosion, wear, and oxidation after the airfoil 82 is manufactured, according to the values of TABLE I and within the tolerances explained above. For example, the coating region 120 may include one or more corrosion resistant layers, erosion resistant layers, wear resistant layers, oxidation resistant or anti-oxidation layers, or any combination thereof. An anti-corrosion coating may be provided with an average thickness t of 0.008 inches (0.20 mm), between 0.001 and 0.1 inches (between 0.25 and 2.5 mm), between, 0.0001 and 1 inches or more (between 0.0025 and 2.5 mm or more). For example, in certain embodiments, the coating 120 may increase X and Y values of a suction side in TABLE I 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 120 may be provided, such as overcoats.










TABLE I







Pressure
Suction


Side or
Side or


Surface
Surface












X
Y
Z
X
Y
Z















−10.20532
5.32026
−3.63251
3.92278
−2.30611
−3.63251


−10.20254
5.32224
−3.63251
3.92119
−2.33224
−3.63251


−10.197
5.3258
−3.63251
3.91624
−2.36669
−3.63251


−10.18552
5.33214
−3.63251
3.90634
−2.40867
−3.63251


−10.16077
5.34046
−3.63251
3.88832
−2.45797
−3.63251


−10.12018
5.34461
−3.63251
3.85466
−2.51836
−3.63251


−10.04771
5.33372
−3.63251
3.79368
−2.58509
−3.63251


−9.95603
5.29987
−3.63251
3.6923
−2.63281
−3.63251


−9.84218
5.23888
−3.63251
3.55469
−2.6431
−3.63251


−9.70675
5.14978
−3.63251
3.39075
−2.64924
−3.63251


−9.53608
5.02564
−3.63251
3.19869
−2.6528
−3.63251


−9.34006
4.88129
−3.63251
2.97178
−2.6532
−3.63251


−9.13018
4.72824
−3.63251
2.71022
−2.64587
−3.63251


−8.89277
4.55796
−3.63251
2.41421
−2.62647
−3.63251


−8.62686
4.37144
−3.63251
2.08415
−2.59321
−3.63251


−8.33184
4.17028
−3.63251
1.7222
−2.5445
−3.63251


−8.02058
3.96436
−3.63251
1.32917
−2.47797
−3.63251


−7.6927
3.75487
−3.63251
0.92248
−2.3954
−3.63251


−7.34798
3.54143
−3.63251
0.50213
−2.29819
−3.63251


−6.98663
3.32442
−3.63251
0.06752
−2.18592
−3.63251


−6.60884
3.10306
−3.63251
−0.38075
−2.05861
−3.63251


−6.21463
2.87753
−3.63251
−0.84269
−1.91525
−3.63251


−5.80457
2.64686
−3.63251
−1.31789
−1.75507
−3.63251


−5.37926
2.40986
−3.63251
−1.80655
−1.57766
−3.63251


−4.95396
2.17305
−3.63251
−2.29185
−1.38838
−3.63251


−4.52945
1.93505
−3.63251
−2.7724
−1.18859
−3.63251


−4.10513
1.69646
−3.63251
−3.2476
−0.97931
−3.63251


−3.68141
1.45688
−3.63251
−3.71804
−0.76111
−3.63251


−3.25829
1.21631
−3.63251
−4.18414
−0.5346
−3.63251


−2.83615
0.97376
−3.63251
−4.64647
−0.30096
−3.63251


−2.41481
0.73003
−3.63251
−5.10464
−0.05999
−3.63251


−1.99366
0.4855
−3.63251
−5.55786
0.19028
−3.63251


−1.57212
0.24176
−3.63251
−6.00395
0.45342
−3.63251


−1.14959
0
−3.63251
−6.44094
0.73379
−3.63251


−0.72567
−0.23879
−3.63251
−6.86743
1.03356
−3.63251


−0.31324
−0.4653
−3.63251
−7.26898
1.34284
−3.63251


0.08771
−0.67835
−3.63251
−7.64379
1.65785
−3.63251


0.47777
−0.87714
−3.63251
−7.99267
1.97545
−3.63251


0.85774
−1.06069
−3.63251
−8.31778
2.29343
−3.63251


1.228
−1.228
−3.63251
−8.61953
2.61023
−3.63251


1.58836
−1.37907
−3.63251
−8.89951
2.92327
−3.63251


1.93862
−1.5143
−3.63251
−9.15809
3.23176
−3.63251


2.26255
−1.62756
−3.63251
−9.39312
3.53687
−3.63251


2.55836
−1.72042
−3.63251
−9.59686
3.8218
−3.63251


2.82546
−1.79645
−3.63251
−9.76972
4.08514
−3.63251


3.06326
−1.85625
−3.63251
−9.91386
4.32531
−3.63251


3.27076
−1.90238
−3.63251
−10.04
4.55578
−3.63251


3.44678
−1.93882
−3.63251
−10.1412
4.75972
−3.63251


3.59786
−1.96713
−3.63251
−10.2077
4.92169
−3.63251


3.72517
−1.98911
−3.63251
−10.2465
5.05593
−3.63251


3.81724
−2.039
−3.63251
−10.2598
5.16008
−3.63251


3.87149
−2.10355
−3.63251
−10.2532
5.23849
−3.63251


3.90001
−2.16216
−3.63251
−10.2386
5.27967
−3.63251


3.91387
−2.20869
−3.63251
−10.2231
5.30323
−3.63251


3.9206
−2.24888
−3.63251
−10.2134
5.31353
−3.63251


3.92297
−2.28155
−3.63251
−10.2081
5.31808
−3.63251


−10.27422
5.22265
−1.35472
4.0986
−2.0097
−1.35472


−10.27165
5.22482
−1.35472
4.09603
−2.03544
−1.35472


−10.2665
5.22878
−1.35472
4.08949
−2.0691
−1.35472


−10.25541
5.23591
−1.35472
4.07603
−2.10989
−1.35472


−10.23106
5.24601
−1.35472
4.05286
−2.15582
−1.35472


−10.19066
5.25235
−1.35472
4.0099
−2.20928
−1.35472


−10.1174
5.24522
−1.35472
3.93644
−2.25918
−1.35472


−10.02395
5.21651
−1.35472
3.82754
−2.27839
−1.35472


−9.90634
5.16206
−1.35472
3.69092
−2.27938
−1.35472


−9.76536
5.08088
−1.35472
3.52836
−2.27779
−1.35472


−9.58756
4.96663
−1.35472
3.33828
−2.27363
−1.35472


−9.38362
4.83259
−1.35472
3.11395
−2.26591
−1.35472


−9.16641
4.68923
−1.35472
2.85536
−2.25106
−1.35472


−8.92188
4.52826
−1.35472
2.56271
−2.22691
−1.35472


−8.64963
4.35026
−1.35472
2.23621
−2.19186
−1.35472


−8.34907
4.15582
−1.35472
1.87704
−2.14474
−1.35472


−8.03385
3.95485
−1.35472
1.48599
−2.08355
−1.35472


−7.70279
3.74814
−1.35472
1.08009
−2.01029
−1.35472


−7.3557
3.53648
−1.35472
0.65954
−1.92555
−1.35472


−6.99257
3.32026
−1.35472
0.22394
−1.82932
−1.35472


−6.6132
3.0991
−1.35472
−0.22631
−1.72062
−1.35472


−6.21799
2.87258
−1.35472
−0.69082
−1.59845
−1.35472


−5.80754
2.64033
−1.35472
−1.16959
−1.46164
−1.35472


−5.38164
2.40273
−1.35472
−1.66221
−1.30977
−1.35472


−4.95455
2.16691
−1.35472
−2.15226
−1.14701
−1.35472


−4.52628
1.93367
−1.35472
−2.63954
−0.97396
−1.35472


−4.09603
1.70399
−1.35472
−3.12246
−0.79121
−1.35472


−3.66379
1.47807
−1.35472
−3.60043
−0.59855
−1.35472


−3.23017
1.25453
−1.35472
−4.07306
−0.3956
−1.35472


−2.79635
1.03138
−1.35472
−4.54014
−0.18117
−1.35472


−2.36254
0.80804
−1.35472
−5.00108
0.04554
−1.35472


−1.92892
0.58489
−1.35472
−5.4551
0.28611
−1.35472


−1.4945
0.36293
−1.35472
−5.90099
0.54272
−1.35472


−1.0589
0.14355
−1.35472
−6.33778
0.81754
−1.35472


−0.62172
−0.07227
−1.35472
−6.76546
1.11078
−1.35472


−0.19681
−0.27641
−1.35472
−7.16859
1.41095
−1.35472


0.21582
−0.46847
−1.35472
−7.54637
1.71448
−1.35472


0.61637
−0.64786
−1.35472
−7.9006
2.0194
−1.35472


1.00544
−0.81398
−1.35472
−8.23244
2.32432
−1.35472


1.38263
−0.96604
−1.35472
−8.54212
2.62746
−1.35472


1.74775
−1.10425
−1.35472
−8.8306
2.92703
−1.35472


2.09999
−1.22938
−1.35472
−9.09889
3.22186
−1.35472


2.42451
−1.3361
−1.35472
−9.3456
3.51252
−1.35472


2.72052
−1.426
−1.35472
−9.56122
3.78338
−1.35472


2.98663
−1.50163
−1.35472
−9.74754
4.03366
−1.35472


3.22285
−1.5638
−1.35472
−9.90574
4.26155
−1.35472


3.42857
−1.6135
−1.35472
−10.0467
4.48015
−1.35472


3.60301
−1.6535
−1.35472
−10.1618
4.67419
−1.35472


3.75269
−1.68617
−1.35472
−10.2404
4.82863
−1.35472


3.87862
−1.71151
−1.35472
−10.2899
4.95792
−1.35472


3.97663
−1.75012
−1.35472
−10.3122
5.05949
−1.35472


4.0388
−1.80853
−1.35472
−10.3134
5.13751
−1.35472


4.07227
−1.86496
−1.35472
−10.3031
5.17968
−1.35472


4.0889
−1.91149
−1.35472
−10.2903
5.20423
−1.35472


4.09662
−1.95188
−1.35472
−10.2816
5.21512
−1.35472


4.099
−1.98495
−1.35472
−10.2768
5.22027
−1.35472


−10.26868
5.23413
−0.6928
4.14949
−1.92337
−0.6928


−10.2661
5.23631
−0.6928
4.14652
−1.94911
−0.6928


−10.26095
5.24047
−0.6928
4.13939
−1.98257
−0.6928


−10.25006
5.24759
−0.6928
4.12474
−2.02297
−0.6928


−10.22571
5.25769
−0.6928
4.09959
−2.06752
−0.6928


−10.18532
5.26403
−0.6928
4.05346
−2.1182
−0.6928


−10.11206
5.2565
−0.6928
3.97643
−2.16236
−0.6928


−10.0188
5.2276
−0.6928
3.86575
−2.17404
−0.6928


−9.90119
5.17295
−0.6928
3.72953
−2.17305
−0.6928


−9.76021
5.09157
−0.6928
3.56717
−2.16909
−0.6928


−9.58241
4.97732
−0.6928
3.37748
−2.16275
−0.6928


−9.37847
4.84348
−0.6928
3.15335
−2.15266
−0.6928


−9.16106
4.70032
−0.6928
2.89516
−2.13583
−0.6928


−8.91634
4.53955
−0.6928
2.60291
−2.11028
−0.6928


−8.64409
4.36174
−0.6928
2.277
−2.07484
−0.6928


−8.34372
4.16731
−0.6928
1.91803
−2.02811
−0.6928


−8.0285
3.96594
−0.6928
1.52698
−1.96832
−0.6928


−7.69804
3.75863
−0.6928
1.12088
−1.89763
−0.6928


−7.35134
3.54638
−0.6928
0.69953
−1.81645
−0.6928


−6.98841
3.32917
−0.6928
0.26294
−1.72438
−0.6928


−6.60964
3.10721
−0.6928
−0.1883
−1.62083
−0.6928


−6.21502
2.87991
−0.6928
−0.65439
−1.5044
−0.6928


−5.80516
2.64647
−0.6928
−1.13474
−1.37432
−0.6928


−5.38006
2.40748
−0.6928
−1.62934
−1.22998
−0.6928


−4.95396
2.17028
−0.6928
−2.12177
−1.07573
−0.6928


−4.52608
1.93624
−0.6928
−2.61182
−0.9112
−0.6928


−4.09603
1.70636
−0.6928
−3.09731
−0.73676
−0.6928


−3.663
1.48183
−0.6928
−3.57727
−0.55103
−0.6928


−3.2278
1.26166
−0.6928
−4.05108
−0.35323
−0.6928


−2.79101
1.04425
−0.6928
−4.51836
−0.14236
−0.6928


−2.35363
0.82804
−0.6928
−4.97871
0.08217
−0.6928


−1.91565
0.61281
−0.6928
−5.43173
0.32155
−0.6928


−1.47708
0.39897
−0.6928
−5.87664
0.57737
−0.6928


−1.03772
0.18691
−0.6928
−6.31244
0.8512
−0.6928


−0.59677
−0.02178
−0.6928
−6.73913
1.14305
−0.6928


−0.1685
−0.21919
−0.6928
−7.14245
1.44184
−0.6928


0.2473
−0.40511
−0.6928
−7.52103
1.74398
−0.6928


0.65063
−0.57875
−0.6928
−7.87604
2.04732
−0.6928


1.04188
−0.73973
−0.6928
−8.20868
2.35046
−0.6928


1.42085
−0.88744
−0.6928
−8.51935
2.65201
−0.6928


1.78715
−1.02208
−0.6928
−8.80882
2.95
−0.6928


2.14058
−1.14464
−0.6928
−9.0783
3.24324
−0.6928


2.46569
−1.24997
−0.6928
−9.3262
3.53212
−0.6928


2.7619
−1.33907
−0.6928
−9.5434
3.8016
−0.6928


3.02821
−1.41451
−0.6928
−9.73091
4.05049
−0.6928


3.26423
−1.47748
−0.6928
−9.8905
4.277
−0.6928


3.46955
−1.52816
−0.6928
−10.0331
4.4944
−0.6928


3.64399
−1.56935
−0.6928
−10.1497
4.68706
−0.6928


3.79309
−1.60321
−0.6928
−10.2295
4.8409
−0.6928


3.91901
−1.62994
−0.6928
−10.2802
4.9696
−0.6928


4.019
−1.66439
−0.6928
−10.3041
5.07058
−0.6928


4.08494
−1.72062
−0.6928
−10.3063
5.1484
−0.6928


4.12117
−1.77685
−0.6928
−10.297
5.19077
−0.6928


4.13899
−1.82378
−0.6928
−10.2843
5.21552
−0.6928


4.14751
−1.86457
−0.6928
−10.276
5.22661
−0.6928


4.15008
−1.89823
−0.6928
−10.2713
5.23175
−0.6928


−10.24848
5.26858
0
4.20255
−1.83308
0


−10.2461
5.27076
0
4.19918
−1.85843
0


−10.24096
5.27492
0
4.19126
−1.89169
0


−10.22987
5.28205
0
4.17523
−1.93129
0


−10.20551
5.29214
0
4.1479
−1.97446
0


−10.16492
5.29789
0
4.0988
−2.02178
0


−10.09186
5.28937
0
4.01861
−2.0592
0


−9.9988
5.25928
0
3.90694
−2.06474
0


−9.88159
5.20344
0
3.77091
−2.06118
0


−9.7412
5.12087
0
3.60895
−2.05504
0


−9.5638
5.00544
0
3.41946
−2.04653
0


−9.36045
4.8704
0
3.19572
−2.03405
0


−9.14344
4.72626
0
2.93792
−2.01524
0


−8.89911
4.5643
0
2.64607
−1.98832
0


−8.62726
4.3853
0
2.32056
−1.95248
0


−8.32729
4.18968
0
1.96198
−1.90615
0


−8.01266
3.98693
0
1.57093
−1.84793
0


−7.6826
3.77804
0
1.16424
−1.77982
0


−7.33649
3.564
0
0.7423
−1.70201
0


−6.97435
3.34501
0
0.30492
−1.61429
0


−6.59597
3.12147
0
−0.14791
−1.51589
0


−6.20195
2.89238
0
−0.61558
−1.406
0


−5.79269
2.65736
0
−1.09831
−1.28363
0


−5.36818
2.41659
0
−1.59568
−1.148
0


−4.94228
2.178
0
−2.09088
−1.00267
0


−4.5146
1.94258
0
−2.58311
−0.84685
0


−4.08434
1.71211
0
−3.07019
−0.67954
0


−3.65092
1.48777
0
−3.55113
−0.49955
0


−3.21413
1.26918
0
−4.02574
−0.30571
0


−2.77497
1.05514
0
−4.49321
−0.09722
0


−2.33422
0.84447
0
−4.95376
0.12593
0


−1.89209
0.63657
0
−5.40698
0.36472
0


−1.44896
0.43065
0
−5.85229
0.62053
0


−1.00485
0.22711
0
−6.28888
0.89456
0


−0.55935
0.02653
0
−6.71656
1.18721
0


−0.12731
−0.16375
0
−7.11909
1.4854
0


0.29205
−0.34313
0
−7.49707
1.78675
0


0.69854
−0.51104
0
−7.85169
2.08969
0


1.09256
−0.66686
0
−8.18433
2.39243
0


1.47352
−0.81002
0
−8.4946
2.693
0


1.8418
−0.94109
0
−8.78407
2.99039
0


2.19681
−1.06069
0
−9.05335
3.28304
0


2.52292
−1.16404
0
−9.30125
3.57113
0


2.81972
−1.25215
0
−9.51826
3.84001
0


3.08642
−1.32759
0
−9.70616
4.08811
0


3.32264
−1.39075
0
−9.86594
4.31402
0


3.52796
−1.44263
0
−10.0089
4.53083
0


3.7022
−1.4848
0
−10.1259
4.72289
0


3.8513
−1.51985
0
−10.2061
4.87615
0


3.97703
−1.54777
0
−10.2574
5.00445
0


4.07563
−1.58242
0
−10.2819
5.10503
0


4.13959
−1.63687
0
−10.2851
5.18285
0


4.17523
−1.69112
0
−10.2762
5.22502
0


4.19265
−1.73646
0
−10.2641
5.24997
0


4.20097
−1.77606
0
−10.2558
5.26106
0


4.20334
−1.80853
0
−10.2511
5.26621
0


−10.21561
5.32264
0.70567
4.25561
−1.74042
0.70567


−10.21304
5.32501
0.70567
4.25205
−1.76576
0.70567


−10.20789
5.32897
0.70567
4.24314
−1.79863
0.70567


−10.197
5.3361
0.70567
4.22552
−1.83764
0.70567


−10.17245
5.3458
0.70567
4.19602
−1.87922
0.70567


−10.13166
5.35095
0.70567
4.14355
−1.92278
0.70567


−10.0588
5.34125
0.70567
4.06039
−1.95327
0.70567


−9.96633
5.30977
0.70567
3.94852
−1.95327
0.70567


−9.84971
5.25215
0.70567
3.81269
−1.94753
0.70567


−9.71032
5.168
0.70567
3.65092
−1.93921
0.70567


−9.5341
5.05058
0.70567
3.46183
−1.92832
0.70567


−9.33194
4.91357
0.70567
3.23849
−1.91347
0.70567


−9.11632
4.76764
0.70567
2.98129
−1.89248
0.70567


−8.87317
4.6039
0.70567
2.68983
−1.86417
0.70567


−8.60251
4.42292
0.70567
2.36491
−1.82754
0.70567


−8.30392
4.22512
0.70567
2.00653
−1.78141
0.70567


−7.99049
4.02019
0.70567
1.61548
−1.72478
0.70567


−7.66181
3.80912
0.70567
1.20859
−1.65983
0.70567


−7.31709
3.59271
0.70567
0.78566
−1.58657
0.70567


−6.95633
3.37135
0.70567
0.34709
−1.5046
0.70567


−6.57934
3.14543
0.70567
−0.10712
−1.41332
0.70567


−6.18651
2.91416
0.70567
−0.57677
−1.31135
0.70567


−5.77823
2.67755
0.70567
−1.06168
−1.1977
0.70567


−5.35432
2.4356
0.70567
−1.56123
−1.07059
0.70567


−4.92881
2.19661
0.70567
−2.0588
−0.93258
0.70567


−4.50133
1.96119
0.70567
−2.55222
−0.78289
0.70567


−4.07068
1.73111
0.70567
−3.03989
−0.62033
0.70567


−3.63686
1.50737
0.70567
−3.52143
−0.44372
0.70567


−3.19948
1.28957
0.70567
−3.99623
−0.25245
0.70567


−2.75933
1.07712
0.70567
−4.46431
−0.04594
0.70567


−2.317
0.86942
0.70567
−4.92565
0.17582
0.70567


−1.87308
0.66587
0.70567
−5.37966
0.41382
0.70567


−1.42738
0.46609
0.70567
−5.82575
0.66944
0.70567


−0.9801
0.26987
0.70567
−6.26333
0.94426
0.70567


−0.53123
0.07722
0.70567
−6.69062
1.2375
0.70567


−0.09563
−0.10494
0.70567
−7.09196
1.53589
0.70567


0.3269
−0.2768
0.70567
−7.46896
1.83784
0.70567


0.73616
−0.43798
0.70567
−7.82278
2.14157
0.70567


1.13216
−0.58786
0.70567
−8.15423
2.44471
0.70567


1.5151
−0.72646
0.70567
−8.46371
2.74567
0.70567


1.88456
−0.85378
0.70567
−8.75219
3.04346
0.70567


2.24037
−0.97079
0.70567
−9.02068
3.3365
0.70567


2.56707
−1.07257
0.70567
−9.26818
3.62498
0.70567


2.86407
−1.15988
0.70567
−9.48479
3.89446
0.70567


3.13078
−1.23512
0.70567
−9.6721
4.14275
0.70567


3.36659
−1.29888
0.70567
−9.83149
4.36887
0.70567


3.57172
−1.35175
0.70567
−9.97405
4.58548
0.70567


3.74576
−1.39511
0.70567
−10.0909
4.77734
0.70567


3.89466
−1.43114
0.70567
−10.1711
4.9304
0.70567


4.01999
−1.46045
0.70567
−10.2225
5.0587
0.70567


4.12058
−1.49153
0.70567
−10.2475
5.15909
0.70567


4.18829
−1.54321
0.70567
−10.2513
5.2367
0.70567


4.22631
−1.59687
0.70567
−10.2429
5.27888
0.70567


4.24532
−1.64241
0.70567
−10.2311
5.30402
0.70567


4.25423
−1.6826
0.70567
−10.2229
5.31511
0.70567


4.2566
−1.71547
0.70567
−10.2182
5.32026
0.70567


−10.17245
5.39174
1.41412
4.3061
−1.64835
1.41412


−10.17007
5.39392
1.41412
4.30195
−1.67369
1.41412


−10.16473
5.39807
1.41412
4.29205
−1.70636
1.41412


−10.15364
5.405
1.41412
4.27324
−1.74478
1.41412


−10.12909
5.41451
1.41412
4.24156
−1.78497
1.41412


−10.0883
5.41886
1.41412
4.18651
−1.82516
1.41412


−10.01543
5.40758
1.41412
4.10098
−1.84892
1.41412


−9.92356
5.37451
1.41412
3.98891
−1.84496
1.41412


−9.80773
5.31511
1.41412
3.85308
−1.83724
1.41412


−9.66913
5.22918
1.41412
3.69131
−1.82734
1.41412


−9.4943
5.10979
1.41412
3.50222
−1.81467
1.41412


−9.29372
4.97039
1.41412
3.27868
−1.79804
1.41412


−9.07949
4.82209
1.41412
3.02108
−1.77606
1.41412


−8.83793
4.65577
1.41412
2.72943
−1.74755
1.41412


−8.56885
4.47223
1.41412
2.40392
−1.71171
1.41412


−8.27204
4.27165
1.41412
2.04494
−1.66795
1.41412


−7.96039
4.06375
1.41412
1.65251
−1.61548
1.41412


−7.6333
3.84971
1.41412
1.24403
−1.55588
1.41412


−7.29056
3.63013
1.41412
0.81932
−1.48876
1.41412


−6.93158
3.4054
1.41412
0.37858
−1.41332
1.41412


−6.55637
3.17632
1.41412
−0.07781
−1.32838
1.41412


−6.16513
2.94228
1.41412
−0.54985
−1.23255
1.41412


−5.75824
2.70329
1.41412
−1.03693
−1.12405
1.41412


−5.33511
2.45975
1.41412
−1.53905
−1.00109
1.41412


−4.90981
2.22017
1.41412
−2.03821
−0.86605
1.41412


−4.48193
1.98495
1.41412
−2.53262
−0.71854
1.41412


−4.05088
1.75567
1.41412
−3.02108
−0.55737
1.41412


−3.61607
1.53272
1.41412
−3.50381
−0.38174
1.41412


−3.1777
1.31611
1.41412
−3.98
−0.19087
1.41412


−2.73695
1.10484
1.41412
−4.45005
0.01525
1.41412


−2.29403
0.89833
1.41412
−4.91337
0.2374
1.41412


−1.84892
0.69637
1.41412
−5.36956
0.47639
1.41412


−1.40184
0.49896
1.41412
−5.81783
0.73458
1.41412


−0.95258
0.30611
1.41412
−6.25561
1.01198
1.41412


−0.50153
0.11781
1.41412
−6.67913
1.30581
1.41412


−0.06356
−0.059
1.41412
−7.07593
1.60439
1.41412


0.36155
−0.22473
1.41412
−7.44777
1.90615
1.41412


0.77339
−0.37937
1.41412
−7.79605
2.20869
1.41412


1.17196
−0.52292
1.41412
−8.12255
2.51024
1.41412


1.55687
−0.65558
1.41412
−8.42787
2.81021
1.41412


1.92812
−0.77794
1.41412
−8.71339
3.10721
1.41412


2.28571
−0.8906
1.41412
−8.9797
3.40025
1.41412


2.6134
−0.98921
1.41412
−9.22601
3.68993
1.41412


2.911
−1.07474
1.41412
−9.44183
3.9602
1.41412


3.1779
−1.1488
1.41412
−9.62854
4.20948
1.41412


3.41392
−1.21235
1.41412
−9.78734
4.43619
1.41412


3.61904
−1.26562
1.41412
−9.9295
4.6534
1.41412


3.79289
−1.30957
1.41412
−10.0461
4.84565
1.41412


3.94159
−1.3464
1.41412
−10.1261
4.99891
1.41412


4.06672
−1.3765
1.41412
−10.1778
5.12721
1.41412


4.1683
−1.40501
1.41412
−10.2031
5.2276
1.41412


4.2376
−1.45352
1.41412
−10.2077
5.30541
1.41412


4.2768
−1.50599
1.41412
−10.1996
5.34778
1.41412


4.2962
−1.55093
1.41412
−10.1879
5.37293
1.41412


4.30531
−1.59113
1.41412
−10.1798
5.38421
1.41412


4.30749
−1.6236
1.41412
−10.175
5.38936
1.41412


−10.13225
5.45351
1.96792
4.33363
−1.59667
1.96792


−10.12988
5.45569
1.96792
4.32907
−1.62202
1.96792


−10.12453
5.45985
1.96792
4.31858
−1.65449
1.96792


−10.11344
5.46678
1.96792
4.29858
−1.69231
1.96792


−10.08869
5.47589
1.96792
4.26551
−1.73131
1.96792


−10.04771
5.47965
1.96792
4.20908
−1.76953
1.96792


−9.97504
5.46718
1.96792
4.12256
−1.78952
1.96792


−9.88357
5.43292
1.96792
4.01069
−1.78398
1.96792


−9.76833
5.37214
1.96792
3.87486
−1.77566
1.96792


−9.63072
5.28462
1.96792
3.71309
−1.76517
1.96792


−9.45707
5.16364
1.96792
3.524
−1.7519
1.96792


−9.25749
5.02247
1.96792
3.30066
−1.73527
1.96792


−9.04464
4.87199
1.96792
3.04306
−1.71349
1.96792


−8.80447
4.70369
1.96792
2.75141
−1.68557
1.96792


−8.53697
4.51777
1.96792
2.4259
−1.65112
1.96792


−8.24155
4.31462
1.96792
2.06672
−1.60934
1.96792


−7.93168
4.10414
1.96792
1.67389
−1.55945
1.96792


−7.60637
3.88733
1.96792
1.26502
−1.50242
1.96792


−7.26521
3.66478
1.96792
0.83992
−1.43788
1.96792


−6.90802
3.43708
1.96792
0.39897
−1.36442
1.96792


−6.53479
3.20503
1.96792
−0.05782
−1.28126
1.96792


−6.14533
2.96822
1.96792
−0.53005
−1.18681
1.96792


−5.73982
2.72666
1.96792
−1.01752
−1.0795
1.96792


−5.31769
2.48134
1.96792
−1.51985
−0.95713
1.96792


−4.89298
2.24057
1.96792
−2.0192
−0.82269
1.96792


−4.4653
2.00495
1.96792
−2.51321
−0.67518
1.96792


−4.03385
1.77566
1.96792
−3.00168
−0.51421
1.96792


−3.59845
1.55331
1.96792
−3.4844
−0.33858
1.96792


−3.16008
1.33709
1.96792
−3.96099
−0.14791
1.96792


−2.71913
1.12603
1.96792
−4.43124
0.05821
1.96792


−2.27581
0.91971
1.96792
−4.89476
0.28076
1.96792


−1.83051
0.71795
1.96792
−5.35135
0.52074
1.96792


−1.38323
0.52074
1.96792
−5.79982
0.78071
1.96792


−0.93397
0.32828
1.96792
−6.23522
1.0593
1.96792


−0.48233
0.14098
1.96792
−6.65656
1.35452
1.96792


−0.04356
−0.03465
1.96792
−7.05118
1.65488
1.96792


0.38214
−0.19879
1.96792
−7.42084
1.95822
1.96792


0.79457
−0.35145
1.96792
−7.76714
2.26255
1.96792


1.19394
−0.49262
1.96792
−8.09206
2.56588
1.96792


1.57984
−0.62271
1.96792
−8.39599
2.86724
1.96792


1.95208
−0.7423
1.96792
−8.68012
3.16562
1.96792


2.31046
−0.85239
1.96792
−8.94524
3.46005
1.96792


2.63894
−0.94862
1.96792
−9.19037
3.75071
1.96792


2.93713
−1.03217
1.96792
−9.4048
4.02158
1.96792


3.20443
−1.10484
1.96792
−9.59033
4.27126
1.96792


3.44084
−1.1678
1.96792
−9.74833
4.49816
1.96792


3.64597
−1.22047
1.96792
−9.8899
4.71537
1.96792


3.81982
−1.26423
1.96792
−10.0057
4.90783
1.96792


3.96871
−1.30106
1.96792
−10.0853
5.06108
1.96792


4.09385
−1.33135
1.96792
−10.137
5.18918
1.96792


4.19582
−1.35848
1.96792
−10.1624
5.28957
1.96792


4.26571
−1.40461
1.96792
−10.1671
5.36719
1.96792


4.30531
−1.45589
1.96792
−10.1594
5.40956
1.96792


4.32472
−1.50025
1.96792
−10.1477
5.4347
1.96792


4.33343
−1.53985
1.96792
−10.1396
5.44599
1.96792


4.33541
−1.57232
1.96792
−10.1348
5.45114
1.96792


−10.03622
5.59053
3.07553
4.32472
−1.61469
3.07553


−10.03365
5.59271
3.07553
4.31897
−1.63964
3.07553


−10.0285
5.59667
3.07553
4.3069
−1.67152
3.07553


−10.01722
5.6034
3.07553
4.28492
−1.70815
3.07553


−9.99227
5.61191
3.07553
4.24987
−1.74517
3.07553


−9.95108
5.61429
3.07553
4.19146
−1.77982
3.07553


−9.87881
5.59984
3.07553
4.10434
−1.79447
3.07553


−9.78853
5.56301
3.07553
3.99287
−1.78596
3.07553


−9.67468
5.49965
3.07553
3.85763
−1.77487
3.07553


−9.53905
5.40936
3.07553
3.69666
−1.76101
3.07553


−9.36797
5.28502
3.07553
3.50836
−1.74418
3.07553


−9.17156
5.14028
3.07553
3.28581
−1.72319
3.07553


−8.96188
4.98604
3.07553
3.0294
−1.69706
3.07553


−8.72527
4.81338
3.07553
2.73893
−1.66459
3.07553


−8.46173
4.62271
3.07553
2.41481
−1.62558
3.07553


−8.17067
4.41441
3.07553
2.05722
−1.57945
3.07553


−7.86515
4.19859
3.07553
1.66597
−1.525
3.07553


−7.54459
3.97624
3.07553
1.25869
−1.46381
3.07553


−7.20859
3.74755
3.07553
0.83536
−1.39491
3.07553


−6.85654
3.51351
3.07553
0.3962
−1.31729
3.07553


−6.48806
3.27452
3.07553
−0.05861
−1.22998
3.07553


−6.10335
3.03079
3.07553
−0.52886
−1.13157
3.07553


−5.70181
2.78269
3.07553
−1.01435
−1.02029
3.07553


−5.28343
2.53143
3.07553
−1.5145
−0.89437
3.07553


−4.86209
2.28611
3.07553
−2.01109
−0.75636
3.07553


−4.43718
2.04692
3.07553
−2.50272
−0.60548
3.07553


−4.00851
1.81487
3.07553
−2.98841
−0.44114
3.07553


−3.57568
1.59034
3.07553
−3.46837
−0.26195
3.07553


−3.13929
1.37254
3.07553
−3.94198
−0.06791
3.07553


−2.70032
1.15969
3.07553
−4.40926
0.14216
3.07553


−2.25878
0.95119
3.07553
−4.86961
0.36868
3.07553


−1.81546
0.74725
3.07553
−5.32244
0.614
3.07553


−1.37016
0.54806
3.07553
−5.76635
0.87952
3.07553


−0.92308
0.35323
3.07553
−6.19601
1.16345
3.07553


−0.47362
0.16335
3.07553
−6.61122
1.46421
3.07553


−0.03722
−0.01505
3.07553
−6.99989
1.76933
3.07553


0.3865
−0.18216
3.07553
−7.36382
2.07722
3.07553


0.79735
−0.33779
3.07553
−7.70477
2.3855
3.07553


1.19513
−0.48233
3.07553
−8.02435
2.6924
3.07553


1.57945
−0.61578
3.07553
−8.32372
2.99673
3.07553


1.9501
−0.73894
3.07553
−8.6035
3.29749
3.07553


2.3071
−0.85199
3.07553
−8.86466
3.5939
3.07553


2.63419
−0.95099
3.07553
−9.10602
3.88595
3.07553


2.93119
−1.03752
3.07553
−9.31748
4.158
3.07553


3.1973
−1.11316
3.07553
−9.50044
4.40847
3.07553


3.43253
−1.17869
3.07553
−9.65626
4.63577
3.07553


3.63667
−1.23433
3.07553
−9.79585
4.85318
3.07553


3.80972
−1.28047
3.07553
−9.9103
5.04583
3.07553


3.95762
−1.31927
3.07553
−9.9889
5.19908
3.07553


4.08217
−1.35155
3.07553
−10.04
5.32699
3.07553


4.18453
−1.37848
3.07553
−10.0653
5.42698
3.07553


4.2574
−1.42085
3.07553
−10.0705
5.5044
3.07553


4.29878
−1.47173
3.07553
−10.063
5.54677
3.07553


4.31838
−1.51688
3.07553
−10.0517
5.57192
3.07553


4.3265
−1.55707
3.07553
−10.0436
5.58301
3.07553


4.32729
−1.59014
3.07553
−10.0388
5.58815
3.07553


−9.92138
5.73368
4.18315
4.27284
−1.76141
4.18315


−9.91881
5.73586
4.18315
4.26591
−1.78596
4.18315


−9.91346
5.73982
4.18315
4.25225
−1.81705
4.18315


−9.90198
5.74636
4.18315
4.22849
−1.85209
4.18315


−9.87683
5.75408
4.18315
4.19126
−1.88674
4.18315


−9.83565
5.75507
4.18315
4.13068
−1.91704
4.18315


−9.76397
5.73824
4.18315
4.04296
−1.92416
4.18315


−9.67487
5.69923
4.18315
3.93248
−1.9109
4.18315


−9.56241
5.6331
4.18315
3.79823
−1.89446
4.18315


−9.42896
5.54024
4.18315
3.63845
−1.87466
4.18315


−9.26066
5.41273
4.18315
3.45173
−1.8509
4.18315


−9.06741
5.26423
4.18315
3.23116
−1.822
4.18315


−8.86109
5.10602
4.18315
2.97673
−1.78695
4.18315


−8.62864
4.92881
4.18315
2.68884
−1.74458
4.18315


−8.36926
4.73299
4.18315
2.36749
−1.69508
4.18315


−8.08295
4.51915
4.18315
2.01267
−1.63786
4.18315


−7.78239
4.29739
4.18315
1.62479
−1.57232
4.18315


−7.46678
4.0685
4.18315
1.22087
−1.50005
4.18315


−7.13592
3.83328
4.18315
0.80091
−1.42025
4.18315


−6.78942
3.59212
4.18315
0.36531
−1.33195
4.18315


−6.42649
3.34561
4.18315
−0.08593
−1.23433
4.18315


−6.04732
3.09415
4.18315
−0.55242
−1.12583
4.18315


−5.65171
2.83833
4.18315
−1.03376
−1.00505
4.18315


−5.23868
2.57974
4.18315
−1.52935
−0.86981
4.18315


−4.82229
2.32729
4.18315
−2.02039
−0.7231
4.18315


−4.40233
2.08098
4.18315
−2.50569
−0.5641
4.18315


−3.97802
1.84199
4.18315
−2.98485
−0.39164
4.18315


−3.54935
1.61053
4.18315
−3.45748
−0.20493
4.18315


−3.11692
1.3858
4.18315
−3.92337
−0.00337
4.18315


−2.68151
1.16642
4.18315
−4.38194
0.21364
4.18315


−2.24393
0.95159
4.18315
−4.83298
0.44708
4.18315


−1.80437
0.74111
4.18315
−5.27591
0.69854
4.18315


−1.36264
0.535
4.18315
−5.70953
0.96961
4.18315


−0.91912
0.33323
4.18315
−6.13364
1.26185
4.18315


−0.47362
0.13563
4.18315
−6.54628
1.57232
4.18315


−0.04059
−0.05069
4.18315
−6.93158
1.88595
4.18315


0.37937
−0.22612
4.18315
−7.29076
2.20057
4.18315


0.78606
−0.39046
4.18315
−7.62637
2.5142
4.18315


1.17968
−0.54391
4.18315
−7.94039
2.82487
4.18315


1.56004
−0.68666
4.18315
−8.23383
3.13177
4.18315


1.92674
−0.81932
4.18315
−8.50766
3.43391
4.18315


2.27997
−0.94208
4.18315
−8.76269
3.73032
4.18315


2.6037
−1.05039
4.18315
−8.9987
4.02158
4.18315


2.89753
−1.14563
4.18315
−9.20581
4.29304
4.18315


3.16087
−1.22918
4.18315
−9.38579
4.5437
4.18315


3.39352
−1.30225
4.18315
−9.54004
4.7718
4.18315


3.59548
−1.36442
4.18315
−9.67903
4.99099
4.18315


3.76675
−1.41629
4.18315
−9.79328
5.18542
4.18315


3.91307
−1.46025
4.18315
−9.87188
5.33986
4.18315


4.03623
−1.49688
4.18315
−9.92336
5.46856
4.18315


4.13761
−1.52658
4.18315
−9.9493
5.56915
4.18315


4.21067
−1.56796
4.18315
−9.95504
5.64696
4.18315


4.25146
−1.61865
4.18315
−9.94811
5.68953
4.18315


4.27027
−1.66399
4.18315
−9.93683
5.71487
4.18315


4.277
−1.70419
4.18315
−9.92871
5.72616
4.18315


4.2766
−1.73705
4.18315
−9.92396
5.73131
4.18315


−9.64676
6.00435
6.39817
4.15246
−2.2469
6.39817


−9.64418
6.00633
6.39817
4.14335
−2.27047
6.39817


−9.63884
6.01009
6.39817
4.12612
−2.29937
6.39817


−9.62716
6.01603
6.39817
4.09781
−2.33046
6.39817


−9.60142
6.02197
6.39817
4.05544
−2.35798
6.39817


−9.56043
6.01999
6.39817
3.99029
−2.37442
6.39817


−9.49014
5.99841
6.39817
3.90317
−2.36174
6.39817


−9.40322
5.95406
6.39817
3.79507
−2.33838
6.39817


−9.29432
5.88218
6.39817
3.66379
−2.30987
6.39817


−9.16542
5.78318
6.39817
3.50777
−2.27581
6.39817


−9.00306
5.64795
6.39817
3.32521
−2.23522
6.39817


−8.81674
5.49074
6.39817
3.10959
−2.18671
6.39817


−8.61775
5.32343
6.39817
2.8611
−2.12929
6.39817


−8.39342
5.13572
6.39817
2.57994
−2.06276
6.39817


−8.14315
4.92842
6.39817
2.26611
−1.98653
6.39817


−7.86674
4.70171
6.39817
1.91961
−1.9006
6.39817


−7.57627
4.46668
6.39817
1.54084
−1.80457
6.39817


−7.27076
4.22433
6.39817
1.14602
−1.70161
6.39817


−6.95039
3.97465
6.39817
0.73577
−1.59133
6.39817


−6.61459
3.71824
6.39817
0.31027
−1.47292
6.39817


−6.26274
3.45609
6.39817
−0.13068
−1.34541
6.39817


−5.89466
3.1882
6.39817
−0.58628
−1.2074
6.39817


−5.51034
2.91575
6.39817
−1.05554
−1.05712
6.39817


−5.1086
2.64013
6.39817
−1.53707
−0.89298
6.39817


−4.7029
2.37046
6.39817
−2.01366
−0.71894
6.39817


−4.29323
2.10652
6.39817
−2.4849
−0.53341
6.39817


−3.87961
1.84853
6.39817
−2.9504
−0.33561
6.39817


−3.46183
1.59707
6.39817
−3.40936
−0.12454
6.39817


−3.03989
1.35234
6.39817
−3.8614
0.10118
6.39817


−2.61499
1.11296
6.39817
−4.3063
0.34195
6.39817


−2.1877
0.87793
6.39817
−4.74349
0.59875
6.39817


−1.75824
0.64667
6.39817
−5.17255
0.87278
6.39817


−1.32719
0.41877
6.39817
−5.59291
1.16523
6.39817


−0.89437
0.19404
6.39817
−6.00079
1.47451
6.39817


−0.45995
−0.02713
6.39817
−6.39461
1.79705
6.39817


−0.03821
−0.2376
6.39817
−6.76269
2.12058
6.39817


0.37066
−0.43758
6.39817
−7.10662
2.44391
6.39817


0.76666
−0.62707
6.39817
−7.42817
2.76507
6.39817


1.14979
−0.80606
6.39817
−7.72952
3.08207
6.39817


1.51945
−0.97475
6.39817
−8.01167
3.39412
6.39817


1.87585
−1.13355
6.39817
−8.27521
3.70042
6.39817


2.21899
−1.28264
6.39817
−8.52073
4.00039
6.39817


2.53321
−1.4161
6.39817
−8.74843
4.29442
6.39817


2.81833
−1.5347
6.39817
−8.94861
4.56786
6.39817


3.07415
−1.63964
6.39817
−9.12285
4.81952
6.39817


3.29987
−1.73171
6.39817
−9.27254
5.04821
6.39817


3.49589
−1.81091
6.39817
−9.40757
5.2672
6.39817


3.66201
−1.87744
6.39817
−9.51865
5.46064
6.39817


3.80398
−1.93387
6.39817
−9.59567
5.61429
6.39817


3.92357
−1.98099
6.39817
−9.64616
5.7418
6.39817


4.02197
−2.0194
6.39817
−9.6725
5.8414
6.39817


4.09662
−2.05702
6.39817
−9.67923
5.91822
6.39817


4.1382
−2.10613
6.39817
−9.67309
5.96079
6.39817


4.15582
−2.15087
6.39817
−9.6624
5.98574
6.39817


4.16077
−2.19107
6.39817
−9.65428
5.99702
6.39817


4.1582
−2.22314
6.39817
−9.64953
6.00197
6.39817


−9.49588
6.13424
7.50578
4.09009
−2.52014
7.50578


−9.49311
6.13622
7.50578
4.07979
−2.54311
7.50578


−9.48776
6.13998
7.50578
4.06098
−2.57083
7.50578


−9.47569
6.14552
7.50578
4.03069
−2.59934
7.50578


−9.44995
6.15047
7.50578
3.98633
−2.62251
7.50578


−9.40896
6.14671
7.50578
3.9202
−2.63102
7.50578


−9.33926
6.12256
7.50578
3.83467
−2.61083
7.50578


−9.25353
6.07543
7.50578
3.72854
−2.58271
7.50578


−9.14661
6.00059
7.50578
3.59984
−2.54806
7.50578


−9.02009
5.89822
7.50578
3.44659
−2.50648
7.50578


−8.8607
5.75903
7.50578
3.2674
−2.45738
7.50578


−8.67794
5.59726
7.50578
3.05573
−2.39877
7.50578


−8.48272
5.425
7.50578
2.8118
−2.33046
7.50578


−8.26234
5.23175
7.50578
2.53579
−2.25146
7.50578


−8.01682
5.01831
7.50578
2.2277
−2.16216
7.50578


−7.74536
4.78487
7.50578
1.88773
−2.06158
7.50578


−7.46005
4.54271
7.50578
1.51569
−1.9499
7.50578


−7.16027
4.29264
7.50578
1.1282
−1.8313
7.50578


−6.84545
4.03484
7.50578
0.72547
−1.70557
7.50578


−6.51539
3.77012
7.50578
0.3073
−1.57172
7.50578


−6.16948
3.49886
7.50578
−0.12553
−1.42857
7.50578


−5.80774
3.22186
7.50578
−0.57281
−1.27472
7.50578


−5.42975
2.93971
7.50578
−1.03257
−1.1088
7.50578


−5.03395
2.65419
7.50578
−1.5044
−0.92921
7.50578


−4.63399
2.37461
7.50578
−1.97149
−0.74052
7.50578


−4.23027
2.10058
7.50578
−2.43342
−0.54153
7.50578


−3.82239
1.8319
7.50578
−2.88961
−0.33145
7.50578


−3.41035
1.56994
7.50578
−3.33967
−0.1089
7.50578


−2.99455
1.31432
7.50578
−3.78279
0.12731
7.50578


−2.57558
1.06425
7.50578
−4.21839
0.37818
7.50578


−2.15404
0.81814
7.50578
−4.64627
0.64429
7.50578


−1.73052
0.57539
7.50578
−5.06603
0.92664
7.50578


−1.30561
0.33521
7.50578
−5.47688
1.22641
7.50578


−0.87912
0.09781
7.50578
−5.87743
1.54262
7.50578


−0.45085
−0.13682
7.50578
−6.26571
1.87268
7.50578


−0.03544
−0.36056
7.50578
−6.63023
2.20414
7.50578


0.36729
−0.57361
7.50578
−6.97178
2.53559
7.50578


0.75735
−0.77616
7.50578
−7.29194
2.86506
7.50578


1.13434
−0.96822
7.50578
−7.59211
3.18998
7.50578


1.49827
−1.14979
7.50578
−7.87307
3.50935
7.50578


1.84912
−1.32125
7.50578
−8.13562
3.82239
7.50578


2.18671
−1.48302
7.50578
−8.37995
4.1281
7.50578


2.49599
−1.62855
7.50578
−8.60627
4.42629
7.50578


2.77636
−1.75883
7.50578
−8.80486
4.7029
7.50578


3.02762
−1.87447
7.50578
−8.97732
4.95614
7.50578


3.24977
−1.97564
7.50578
−9.12503
5.18503
7.50578


3.44243
−2.06296
7.50578
−9.25789
5.40302
7.50578


3.60578
−2.13642
7.50578
−9.36738
5.59528
7.50578


3.74537
−2.19899
7.50578
−9.44341
5.74754
7.50578


3.86278
−2.25126
7.50578
−9.4937
5.87407
7.50578


3.95941
−2.29423
7.50578
−9.52004
5.97267
7.50578


4.03524
−2.33185
7.50578
−9.52736
6.0489
7.50578


4.07801
−2.37976
7.50578
−9.52162
6.09107
7.50578


4.09603
−2.42471
7.50578
−9.51133
6.11602
7.50578


4.10038
−2.4649
7.50578
−9.50321
6.12711
7.50578


4.09682
−2.49678
7.50578
−9.49846
6.13206
7.50578


−9.33847
6.26175
8.6132
4.0093
−2.8114
8.6132


−9.3359
6.26373
8.6132
3.99782
−2.83358
8.6132


−9.33016
6.26729
8.6132
3.97723
−2.86011
8.6132


−9.31808
6.27264
8.6132
3.94475
−2.88605
8.6132


−9.29194
6.2764
8.6132
3.89842
−2.90446
8.6132


−9.25115
6.27086
8.6132
3.83189
−2.90407
8.6132


−9.18245
6.24433
8.6132
3.74834
−2.87793
8.6132


−9.0979
6.19463
8.6132
3.64419
−2.84447
8.6132


−8.99276
6.11681
8.6132
3.51767
−2.80368
8.6132


−8.86882
6.01128
8.6132
3.36719
−2.75458
8.6132


−8.71259
5.86832
8.6132
3.19117
−2.69696
8.6132


−8.53321
5.7024
8.6132
2.98346
−2.62825
8.6132


−8.34154
5.52559
8.6132
2.74388
−2.54826
8.6132


−8.12533
5.32719
8.6132
2.47262
−2.45678
8.6132


−7.88436
5.108
8.6132
2.17008
−2.35343
8.6132


−7.61805
4.86823
8.6132
1.83605
−2.23799
8.6132


−7.33808
4.61914
8.6132
1.47074
−2.10989
8.6132


−7.04405
4.36154
8.6132
1.08999
−1.97446
8.6132


−6.73556
4.09563
8.6132
0.69419
−1.8317
8.6132


−6.41203
3.8218
8.6132
0.28354
−1.68062
8.6132


−6.07325
3.54143
8.6132
−0.14177
−1.52024
8.6132


−5.71883
3.25433
8.6132
−0.58054
−1.34897
8.6132


−5.34818
2.96149
8.6132
−1.03158
−1.16563
8.6132


−4.9603
2.66449
8.6132
−1.49391
−0.96842
8.6132


−4.56766
2.37343
8.6132
−1.95188
−0.76309
8.6132


−4.17107
2.08771
8.6132
−2.40511
−0.54886
8.6132


−3.77051
1.80754
8.6132
−2.85259
−0.32472
8.6132


−3.3656
1.53391
8.6132
−3.29373
−0.0893
8.6132


−2.95673
1.26661
8.6132
−3.72794
0.15919
8.6132


−2.5439
1.00505
8.6132
−4.15404
0.42194
8.6132


−2.1287
0.74745
8.6132
−4.57222
0.69934
8.6132


−1.71171
0.49243
8.6132
−4.98188
0.99198
8.6132


−1.29353
0.23938
8.6132
−5.38243
1.30106
8.6132


−0.87437
−0.01168
8.6132
−5.77388
1.62637
8.6132


−0.45362
−0.26057
8.6132
−6.15443
1.96535
8.6132


−0.04554
−0.49837
8.6132
−6.51143
2.30413
8.6132


0.35026
−0.72527
8.6132
−6.84605
2.64152
8.6132


0.73339
−0.94149
8.6132
−7.16008
2.97634
8.6132


1.10365
−1.14721
8.6132
−7.4545
3.30581
8.6132


1.46124
−1.34224
8.6132
−7.73051
3.62875
8.6132


1.80576
−1.52698
8.6132
−7.98871
3.94456
8.6132


2.13741
−1.70161
8.6132
−8.22947
4.25245
8.6132


2.44094
−1.85942
8.6132
−8.45282
4.55242
8.6132


2.71636
−2.00099
8.6132
−8.64923
4.83001
8.6132


2.96307
−2.12692
8.6132
−8.81991
5.08405
8.6132


3.18127
−2.2372
8.6132
−8.96643
5.31333
8.6132


3.37036
−2.33244
8.6132
−9.0985
5.53133
8.6132


3.53054
−2.41283
8.6132
−9.20759
5.72359
8.6132


3.66755
−2.48134
8.6132
−9.28343
5.87585
8.6132


3.78279
−2.53876
8.6132
−9.33392
6.00197
8.6132


3.87743
−2.58608
8.6132
−9.36085
6.10038
8.6132


3.95287
−2.62469
8.6132
−9.36896
6.17621
8.6132


3.99841
−2.67062
8.6132
−9.36401
6.21839
8.6132


4.01722
−2.71537
8.6132
−9.35392
6.24353
8.6132


4.02138
−2.75576
8.6132
−9.346
6.25462
8.6132


4.01683
−2.78804
8.6132
−9.34105
6.25957
8.6132


−9.00247
6.5039
10.82842
3.77289
−3.44144
10.82842


−8.99969
6.50569
10.82842
3.75923
−3.46223
10.82842


−8.99395
6.50905
10.82842
3.73527
−3.48539
10.82842


−8.98148
6.51361
10.82842
3.69864
−3.5046
10.82842


−8.95495
6.51559
10.82842
3.64934
−3.51133
10.82842


−8.91475
6.50687
10.82842
3.58598
−3.49193
10.82842


−8.84783
6.47579
10.82842
3.50658
−3.45668
10.82842


−8.76586
6.42134
10.82842
3.40718
−3.41273
10.82842


−8.66448
6.33877
10.82842
3.2864
−3.35927
10.82842


−8.54509
6.22769
10.82842
3.14285
−3.29551
10.82842


−8.39461
6.0782
10.82842
2.97495
−3.22047
10.82842


−8.22175
5.90495
10.82842
2.77675
−3.13157
10.82842


−8.03722
5.72042
10.82842
2.54846
−3.02821
10.82842


−7.82912
5.51331
10.82842
2.28967
−2.9108
10.82842


−7.59686
5.28383
10.82842
2.00099
−2.77873
10.82842


−7.34085
5.03237
10.82842
1.68221
−2.63182
10.82842


−7.07197
4.77041
10.82842
1.33353
−2.46985
10.82842


−6.79041
4.49856
10.82842
0.9704
−2.29977
10.82842


−6.49539
4.21661
10.82842
0.59261
−2.12137
10.82842


−6.18691
3.92555
10.82842
0.20038
−1.93406
10.82842


−5.86397
3.62578
10.82842
−0.20513
−1.73725
10.82842


−5.52677
3.31789
10.82842
−0.6235
−1.52955
10.82842


−5.17433
3.00227
10.82842
−1.05395
−1.30977
10.82842


−4.80546
2.68052
10.82842
−1.49549
−1.07672
10.82842


−4.43203
2.36392
10.82842
−1.93307
−0.83774
10.82842


−4.05445
2.05267
10.82842
−2.3663
−0.59162
10.82842


−3.67231
1.74695
10.82842
−2.79437
−0.33739
10.82842


−3.28522
1.44758
10.82842
−3.21592
−0.07346
10.82842


−2.89318
1.15474
10.82842
−3.63013
0.20216
10.82842


−2.49678
0.86744
10.82842
−4.03603
0.49064
10.82842


−2.09761
0.5839
10.82842
−4.43302
0.79299
10.82842


−1.69686
0.30274
10.82842
−4.8211
1.10939
10.82842


−1.29532
0.02237
10.82842
−5.19988
1.44025
10.82842


−0.89357
−0.2572
10.82842
−5.56954
1.78517
10.82842


−0.49084
−0.53579
10.82842
−5.9299
2.14216
10.82842


−0.10039
−0.80329
10.82842
−6.26868
2.49638
10.82842


0.2776
−1.05989
10.82842
−6.58687
2.84665
10.82842


0.6433
−1.30581
10.82842
−6.88585
3.19176
10.82842


0.99653
−1.54084
10.82842
−7.1674
3.52975
10.82842


1.33749
−1.76497
10.82842
−7.43193
3.85942
10.82842


1.66617
−1.97802
10.82842
−7.68042
4.18057
10.82842


1.98218
−2.18057
10.82842
−7.91307
4.49242
10.82842


2.27165
−2.36392
10.82842
−8.12988
4.79497
10.82842


2.5342
−2.52886
10.82842
−8.32115
5.07395
10.82842


2.76962
−2.67577
10.82842
−8.48786
5.32877
10.82842


2.97752
−2.80507
10.82842
−8.63141
5.55826
10.82842


3.1579
−2.91694
10.82842
−8.7611
5.77645
10.82842


3.31036
−3.01158
10.82842
−8.86862
5.96831
10.82842


3.44065
−3.09236
10.82842
−8.94366
6.11998
10.82842


3.55034
−3.16048
10.82842
−8.99415
6.24551
10.82842


3.64043
−3.21631
10.82842
−9.02187
6.34313
10.82842


3.7127
−3.26086
10.82842
−9.03118
6.41857
10.82842


3.76279
−3.30205
10.82842
−9.02722
6.46054
10.82842


3.78418
−3.3458
10.82842
−9.01791
6.48589
10.82842


3.78833
−3.38639
10.82842
−9.00999
6.49697
10.82842


3.78239
−3.41867
10.82842
−9.00504
6.50173
10.82842


−8.65795
6.71517
13.04365
3.50579
−4.03524
13.04365


−8.65517
6.71695
13.04365
3.48995
−4.05445
13.04365


−8.64923
6.72012
13.04365
3.46322
−4.07405
13.04365


−8.63636
6.72388
13.04365
3.42362
−4.08613
13.04365


−8.61003
6.72388
13.04365
3.37451
−4.08019
13.04365


−8.57023
6.7124
13.04365
3.31551
−4.0489
13.04365


−8.50529
6.67755
13.04365
3.23987
−4.00653
13.04365


−8.42569
6.61934
13.04365
3.14543
−3.95366
13.04365


−8.32788
6.53281
13.04365
3.03039
−3.88931
13.04365


−8.21245
6.41758
13.04365
2.89357
−3.81269
13.04365


−8.06692
6.26294
13.04365
2.73379
−3.7228
13.04365


−7.8998
6.08395
13.04365
2.54509
−3.61627
13.04365


−7.72121
5.89307
13.04365
2.32749
−3.49292
13.04365


−7.52004
5.67864
13.04365
2.08118
−3.35273
13.04365


−7.2963
5.44064
13.04365
1.80596
−3.19552
13.04365


−7.04959
5.17948
13.04365
1.50223
−3.02148
13.04365


−6.7914
4.90664
13.04365
1.16978
−2.83041
13.04365


−6.52133
4.62251
13.04365
0.82328
−2.63023
13.04365


−6.23957
4.32689
13.04365
0.46292
−2.42075
13.04365


−5.94574
4.02059
13.04365
0.0893
−2.20156
13.04365


−5.63904
3.70379
13.04365
−0.2972
−1.97208
13.04365


−5.31947
3.37689
13.04365
−0.69597
−1.73151
13.04365


−4.98643
3.04069
13.04365
−1.10623
−1.47906
13.04365


−4.63815
2.69636
13.04365
−1.52737
−1.21374
13.04365


−4.28591
2.3564
13.04365
−1.94436
−0.94307
13.04365


−3.92911
2.02079
13.04365
−2.356
−0.66607
13.04365


−3.56796
1.68993
13.04365
−2.76151
−0.38135
13.04365


−3.20166
1.36422
13.04365
−3.15968
−0.08752
13.04365


−2.83021
1.04386
13.04365
−3.54974
0.21641
13.04365


−2.45461
0.72864
13.04365
−3.93089
0.53123
13.04365


−2.07583
0.41738
13.04365
−4.30294
0.85754
13.04365


−1.69488
0.1087
13.04365
−4.66567
1.19533
13.04365


−1.31234
−0.1984
13.04365
−5.0189
1.54499
13.04365


−0.92941
−0.5045
13.04365
−5.36303
1.90595
13.04365


−0.54589
−0.81002
13.04365
−5.69903
2.277
13.04365


−0.17464
−1.10484
13.04365
−6.01702
2.64409
13.04365


0.18454
−1.38857
13.04365
−6.31759
3.00643
13.04365


0.53163
−1.66122
13.04365
−6.60211
3.36263
13.04365


0.86704
−1.92238
13.04365
−6.87119
3.70993
13.04365


1.19057
−2.17186
13.04365
−7.12503
4.04732
13.04365


1.50242
−2.40986
13.04365
−7.36441
4.37481
13.04365


1.8022
−2.63677
13.04365
−7.58934
4.69161
13.04365


2.07662
−2.84288
13.04365
−7.79981
4.99811
13.04365


2.32551
−3.02881
13.04365
−7.98613
5.28007
13.04365


2.54826
−3.19473
13.04365
−8.14889
5.53707
13.04365


2.74527
−3.34105
13.04365
−8.28927
5.76814
13.04365


2.91575
−3.46777
13.04365
−8.41639
5.98752
13.04365


3.06009
−3.57489
13.04365
−8.52212
6.18017
13.04365


3.18344
−3.66656
13.04365
−8.59637
6.33184
13.04365


3.2872
−3.74339
13.04365
−8.64686
6.45718
13.04365


3.37273
−3.80655
13.04365
−8.67497
6.55459
13.04365


3.44104
−3.85704
13.04365
−8.68527
6.62983
13.04365


3.49272
−3.89684
13.04365
−8.6823
6.67201
13.04365


3.51826
−3.93921
13.04365
−8.67339
6.69735
13.04365


3.52361
−3.9802
13.04365
−8.66547
6.70844
13.04365


3.51688
−4.01267
13.04365
−8.66072
6.71319
13.04365


−8.36075
6.87614
15.25867
3.21453
−4.55479
15.25867


−8.35798
6.87793
15.25867
3.19711
−4.57261
15.25867


−8.35184
6.8807
15.25867
3.168
−4.58806
15.25867


−8.33897
6.88347
15.25867
3.12682
−4.59202
15.25867


−8.31244
6.88129
15.25867
3.08128
−4.57321
15.25867


−8.27383
6.86684
15.25867
3.02643
−4.53598
15.25867


−8.21086
6.82823
15.25867
2.95495
−4.48767
15.25867


−8.13424
6.76606
15.25867
2.86585
−4.42708
15.25867


−8.04038
6.67537
15.25867
2.75755
−4.35362
15.25867


−7.92931
6.55538
15.25867
2.62845
−4.26631
15.25867


−7.78952
6.3954
15.25867
2.47757
−4.16394
15.25867


−7.62854
6.21027
15.25867
2.29937
−4.04296
15.25867


−7.45668
6.01286
15.25867
2.09385
−3.90298
15.25867


−7.26323
5.7911
15.25867
1.8612
−3.74418
15.25867


−7.04761
5.54519
15.25867
1.60103
−3.56657
15.25867


−6.81021
5.27472
15.25867
1.31373
−3.37036
15.25867


−6.56172
4.99237
15.25867
0.99911
−3.15513
15.25867


−6.30214
4.69814
15.25867
0.67082
−2.9304
15.25867


−6.03148
4.39164
15.25867
0.32927
−2.69597
15.25867


−5.74972
4.07326
15.25867
−0.02515
−2.45124
15.25867


−5.45648
3.74299
15.25867
−0.39204
−2.19562
15.25867


−5.15176
3.40124
15.25867
−0.77081
−1.92852
15.25867


−4.83496
3.04861
15.25867
−1.16087
−1.64914
15.25867


−4.5045
2.68587
15.25867
−1.56123
−1.3565
15.25867


−4.17067
2.3263
15.25867
−1.95743
−1.0589
15.25867


−3.83308
1.9703
15.25867
−2.34868
−0.75517
15.25867


−3.49133
1.61806
15.25867
−2.73379
−0.44411
15.25867


−3.14523
1.27037
15.25867
−3.11157
−0.12415
15.25867


−2.79418
0.92743
15.25867
−3.48104
0.20533
15.25867


−2.43857
0.58925
15.25867
−3.84219
0.54529
15.25867


−2.0794
0.25483
15.25867
−4.19443
0.89555
15.25867


−1.71765
−0.07682
15.25867
−4.53796
1.25651
15.25867


−1.35432
−0.40689
15.25867
−4.87298
1.62776
15.25867


−0.9902
−0.73577
15.25867
−5.19988
2.00851
15.25867


−0.62548
−1.06425
15.25867
−5.51925
2.39659
15.25867


−0.27284
−1.38145
15.25867
−5.8212
2.77715
15.25867


0.06831
−1.68736
15.25867
−6.10672
3.14919
15.25867


0.39758
−1.98158
15.25867
−6.37679
3.51212
15.25867


0.71577
−2.26413
15.25867
−6.6332
3.86437
15.25867


1.02247
−2.5346
15.25867
−6.87595
4.20572
15.25867


1.31789
−2.79319
15.25867
−7.10563
4.53578
15.25867


1.60142
−3.04049
15.25867
−7.32164
4.85496
15.25867


1.861
−3.26561
15.25867
−7.5242
5.16285
15.25867


2.09583
−3.46916
15.25867
−7.70378
5.44579
15.25867


2.30611
−3.65112
15.25867
−7.86119
5.70319
15.25867


2.49183
−3.8117
15.25867
−7.99702
5.93426
15.25867


2.65261
−3.95089
15.25867
−8.12057
6.15325
15.25867


2.78863
−4.0687
15.25867
−8.22373
6.34511
15.25867


2.90506
−4.16929
15.25867
−8.2966
6.49618
15.25867


3.00267
−4.25363
15.25867
−8.34649
6.62053
15.25867


3.08326
−4.32313
15.25867
−8.37481
6.71695
15.25867


3.14761
−4.37877
15.25867
−8.38609
6.7914
15.25867


3.1973
−4.42134
15.25867
−8.38411
6.83318
15.25867


3.227
−4.46035
15.25867
−8.37599
6.85852
15.25867


3.23393
−4.50094
15.25867
−8.36847
6.86961
15.25867


3.22681
−4.53321
15.25867
−8.36352
6.87416
15.25867


−8.11087
6.9995
17.4739
2.89872
−5.00504
17.4739


−8.1079
7.00108
17.4739
2.87971
−5.02128
17.4739


−8.10176
7.00346
17.4739
2.84823
−5.03276
17.4739


−8.0887
7.00524
17.4739
2.80705
−5.02821
17.4739


−8.06256
7.00069
17.4739
2.76586
−5.00049
17.4739


−8.02494
6.98326
17.4739
2.71379
−4.95871
17.4739


−7.96455
6.94049
17.4739
2.64647
−4.90466
17.4739


−7.89169
6.87456
17.4739
2.56192
−4.83714
17.4739


−7.80239
6.77932
17.4739
2.45956
−4.75497
17.4739


−7.69666
6.65458
17.4739
2.33739
−4.65716
17.4739


−7.5632
6.48886
17.4739
2.19483
−4.54252
17.4739


−7.40956
6.29759
17.4739
2.02613
−4.40728
17.4739


−7.24522
6.09365
17.4739
1.8313
−4.25126
17.4739


−7.05969
5.86476
17.4739
1.61073
−4.07444
17.4739


−6.85298
5.61112
17.4739
1.36402
−3.87684
17.4739


−6.62508
5.33254
17.4739
1.09138
−3.65845
17.4739


−6.3859
5.04167
17.4739
0.79279
−3.41926
17.4739


−6.13602
4.73893
17.4739
0.48114
−3.16978
17.4739


−5.87525
4.42352
17.4739
0.15622
−2.9102
17.4739


−5.60399
4.09563
17.4739
−0.18157
−2.63993
17.4739


−5.32204
3.75566
17.4739
−0.53163
−2.35877
17.4739


−5.0294
3.40283
17.4739
−0.89338
−2.06554
17.4739


−4.72606
3.03791
17.4739
−1.26581
−1.75982
17.4739


−4.41065
2.66171
17.4739
−1.64776
−1.44045
17.4739


−4.09266
2.28769
17.4739
−2.02514
−1.11692
17.4739


−3.7717
1.91624
17.4739
−2.39719
−0.78863
17.4739


−3.44738
1.54777
17.4739
−2.7625
−0.45401
17.4739


−3.1187
1.18305
17.4739
−3.11989
−0.11246
17.4739


−2.78527
0.82269
17.4739
−3.46876
0.23701
17.4739


−2.44768
0.46629
17.4739
−3.80833
0.59499
17.4739


−2.10632
0.11365
17.4739
−4.1386
0.96149
17.4739


−1.7624
−0.23681
17.4739
−4.46015
1.33591
17.4739


−1.41728
−0.58608
17.4739
−4.77358
1.71785
17.4739


−1.07158
−0.93456
17.4739
−5.07969
2.10632
17.4739


−0.72547
−1.28284
17.4739
−5.37986
2.50015
17.4739


−0.39065
−1.61905
17.4739
−5.66537
2.88526
17.4739


−0.06712
−1.94357
17.4739
−5.93663
3.26086
17.4739


0.24493
−2.25641
17.4739
−6.19463
3.62657
17.4739


0.54569
−2.55757
17.4739
−6.44035
3.98119
17.4739


0.83516
−2.84665
17.4739
−6.67379
4.32472
17.4739


1.11355
−3.12365
17.4739
−6.89476
4.65696
17.4739


1.38085
−3.38877
17.4739
−7.10305
4.97772
17.4739


1.62499
−3.63053
17.4739
−7.29808
5.28719
17.4739


1.84595
−3.84932
17.4739
−7.47133
5.57113
17.4739


2.04376
−4.04494
17.4739
−7.623
5.82932
17.4739


2.21819
−4.2176
17.4739
−7.75408
6.06078
17.4739


2.36947
−4.36729
17.4739
−7.87347
6.27977
17.4739


2.49718
−4.49401
17.4739
−7.97346
6.47163
17.4739


2.60647
−4.60231
17.4739
−8.04454
6.62191
17.4739


2.69815
−4.69339
17.4739
−8.09365
6.74546
17.4739


2.77378
−4.76824
17.4739
−8.12216
6.8411
17.4739


2.83417
−4.82823
17.4739
−8.13404
6.91495
17.4739


2.8807
−4.87436
17.4739
−8.13325
6.95633
17.4739


2.91199
−4.91198
17.4739
−8.12592
6.98188
17.4739


2.9201
−4.95218
17.4739
−8.11859
6.99296
17.4739


2.91238
−4.98425
17.4739
−8.11364
6.99752
17.4739


−7.88179
7.11097
19.68892
2.58628
−5.38679
19.68892


−7.87882
7.11256
19.68892
2.56628
−5.40164
19.68892


−7.87248
7.11454
19.68892
2.5342
−5.41055
19.68892


−7.85921
7.11533
19.68892
2.49381
−5.40263
19.68892


−7.83367
7.1082
19.68892
2.4552
−5.37174
19.68892


−7.79764
7.0882
19.68892
2.40669
−5.32699
19.68892


−7.74002
7.04167
19.68892
2.34373
−5.26878
19.68892


−7.67092
6.97178
19.68892
2.26492
−5.19592
19.68892


−7.58617
6.87238
19.68892
2.16909
−5.10741
19.68892


−7.48598
6.74309
19.68892
2.05544
−5.00207
19.68892


−7.35907
6.57221
19.68892
1.92218
−4.87872
19.68892


−7.21235
6.3754
19.68892
1.76458
−4.73339
19.68892


−7.05514
6.16592
19.68892
1.58242
−4.56568
19.68892


−6.87713
5.93109
19.68892
1.3763
−4.3754
19.68892


−6.67814
5.67112
19.68892
1.14563
−4.16295
19.68892


−6.45836
5.3856
19.68892
0.891
−3.92812
19.68892


−6.22789
5.08781
19.68892
0.61182
−3.67092
19.68892


−5.98693
4.77754
19.68892
0.32036
−3.40283
19.68892


−5.73566
4.45441
19.68892
0.01663
−3.12365
19.68892


−5.47411
4.1186
19.68892
−0.29938
−2.83338
19.68892


−5.20245
3.77012
19.68892
−0.62746
−2.53202
19.68892


−4.92089
3.40817
19.68892
−0.96703
−2.21879
19.68892


−4.62964
3.03336
19.68892
−1.31749
−1.89308
19.68892


−4.32729
2.64627
19.68892
−1.67746
−1.5539
19.68892


−4.02316
2.26076
19.68892
−2.03366
−1.21136
19.68892


−3.71626
1.87724
19.68892
−2.38471
−0.86368
19.68892


−3.40639
1.49629
19.68892
−2.72923
−0.50985
19.68892


−3.09296
1.11811
19.68892
−3.06662
−0.14969
19.68892


−2.77636
0.7427
19.68892
−3.39689
0.2174
19.68892


−2.45639
0.37006
19.68892
−3.71983
0.59123
19.68892


−2.13365
0
19.68892
−4.03524
0.97198
19.68892


−1.80853
−0.36808
19.68892
−4.34333
1.35986
19.68892


−1.48183
−0.73478
19.68892
−4.64429
1.75408
19.68892


−1.15414
−1.10068
19.68892
−4.93911
2.15424
19.68892


−0.82606
−1.46599
19.68892
−5.22898
2.55895
19.68892


−0.50886
−1.81922
19.68892
−5.50519
2.95357
19.68892


−0.20315
−2.16077
19.68892
−5.76814
3.33689
19.68892


0.09148
−2.49025
19.68892
−6.01861
3.70894
19.68892


0.37481
−2.80784
19.68892
−6.257
4.0689
19.68892


0.64746
−3.11296
19.68892
−6.48351
4.41679
19.68892


0.90961
−3.4058
19.68892
−6.69775
4.75279
19.68892


1.16087
−3.68597
19.68892
−6.9001
5.07672
19.68892


1.39095
−3.94159
19.68892
−7.08959
5.38897
19.68892


1.59905
−4.17265
19.68892
−7.25789
5.67547
19.68892


1.78537
−4.37936
19.68892
−7.405
5.93564
19.68892


1.94971
−4.56192
19.68892
−7.53212
6.16889
19.68892


2.09207
−4.71992
19.68892
−7.64775
6.38946
19.68892


2.21265
−4.85377
19.68892
−7.74477
6.58251
19.68892


2.31561
−4.96802
19.68892
−7.81407
6.73339
19.68892


2.40214
−5.06425
19.68892
−7.86218
6.85714
19.68892


2.47322
−5.14345
19.68892
−7.8905
6.95257
19.68892


2.53004
−5.20681
19.68892
−7.90317
7.02623
19.68892


2.5736
−5.25571
19.68892
−7.90297
7.06761
19.68892


2.6033
−5.29472
19.68892
−7.89644
7.09335
19.68892


2.61023
−5.33511
19.68892
−7.88951
7.10464
19.68892


2.60113
−5.36679
19.68892
−7.88456
7.10919
19.68892


−7.65626
7.2266
21.90395
2.29145
−5.7022
21.90395


−7.65329
7.22799
21.90395
2.27047
−5.71606
21.90395


−7.64676
7.22957
21.90395
2.23799
−5.7226
21.90395


−7.63349
7.22918
21.90395
2.19859
−5.71072
21.90395


−7.60874
7.21967
21.90395
2.16275
−5.67666
21.90395


−7.57469
7.19671
21.90395
2.11702
−5.62914
21.90395


−7.52024
7.14661
21.90395
2.05762
−5.56736
21.90395


−7.45529
7.07315
21.90395
1.98356
−5.49014
21.90395


−7.3755
6.9696
21.90395
1.89367
−5.3959
21.90395


−7.28105
6.83595
21.90395
1.78675
−5.28403
21.90395


−7.16027
6.66052
21.90395
1.66142
−5.15295
21.90395


−7.02029
6.45876
21.90395
1.51292
−4.99871
21.90395


−6.86961
6.24452
21.90395
1.34125
−4.8211
21.90395


−6.69854
6.00455
21.90395
1.14662
−4.61954
21.90395


−6.50707
5.73883
21.90395
0.92902
−4.39461
21.90395


−6.29541
5.44738
21.90395
0.68825
−4.14612
21.90395


−6.07345
5.14305
21.90395
0.42412
−3.87446
21.90395


−5.84199
4.82546
21.90395
0.1483
−3.59132
21.90395


−5.60122
4.4942
21.90395
−0.13919
−3.2963
21.90395


−5.35154
4.14949
21.90395
−0.43798
−2.9894
21.90395


−5.09276
3.79091
21.90395
−0.74824
−2.67062
21.90395


−4.82526
3.41867
21.90395
−1.069
−2.33937
21.90395


−4.54865
3.03257
21.90395
−1.39986
−1.99485
21.90395


−4.26195
2.6338
21.90395
−1.74002
−1.63647
21.90395


−3.97366
2.23601
21.90395
−2.07662
−1.27512
21.90395


−3.683
1.84001
21.90395
−2.40847
−0.90922
21.90395


−3.38996
1.4458
21.90395
−2.73398
−0.53797
21.90395


−3.09375
1.05376
21.90395
−3.05296
−0.16058
21.90395


−2.79437
0.66429
21.90395
−3.36521
0.22275
21.90395


−2.49163
0.2772
21.90395
−3.67033
0.61241
21.90395


−2.18612
−0.10732
21.90395
−3.96871
1.00822
21.90395


−1.87803
−0.49025
21.90395
−4.26056
1.40956
21.90395


−1.56875
−0.87179
21.90395
−4.54568
1.81566
21.90395


−1.25829
−1.25255
21.90395
−4.82506
2.22552
21.90395


−0.94723
−1.63291
21.90395
−5.10008
2.63835
21.90395


−0.64627
−2.00039
21.90395
−5.36243
3.03989
21.90395


−0.35581
−2.35521
21.90395
−5.6131
3.42936
21.90395


−0.07603
−2.69755
21.90395
−5.85209
3.80655
21.90395


0.19364
−3.02702
21.90395
−6.08058
4.17087
21.90395


0.45322
−3.34363
21.90395
−6.29858
4.52232
21.90395


0.7025
−3.64736
21.90395
−6.50549
4.8609
21.90395


0.94169
−3.93842
21.90395
−6.70151
5.18701
21.90395


1.16028
−4.20394
21.90395
−6.88545
5.50084
21.90395


1.35808
−4.44431
21.90395
−7.049
5.78853
21.90395


1.5349
−4.65934
21.90395
−7.19195
6.04949
21.90395


1.69052
−4.84942
21.90395
−7.31531
6.28373
21.90395


1.82536
−5.01395
21.90395
−7.42718
6.50509
21.90395


1.93981
−5.15315
21.90395
−7.52103
6.69874
21.90395


2.03762
−5.27195
21.90395
−7.58835
6.84981
21.90395


2.11959
−5.37214
21.90395
−7.63528
6.97336
21.90395


2.18691
−5.4545
21.90395
−7.66319
7.0686
21.90395


2.24077
−5.52064
21.90395
−7.67587
7.14186
21.90395


2.28195
−5.57152
21.90395
−7.67646
7.18324
21.90395


2.31066
−5.61132
21.90395
−7.67072
7.20898
21.90395


2.317
−5.65171
21.90395
−7.66399
7.22027
21.90395


2.3069
−5.683
21.90395
−7.65904
7.22482
21.90395


−7.54835
7.28086
23.01156
2.13187
−5.85446
23.01156


−7.54538
7.28204
23.01156
2.11068
−5.86753
23.01156


−7.53885
7.28363
23.01156
2.07801
−5.87268
23.01156


−7.52558
7.28244
23.01156
2.0392
−5.85882
23.01156


−7.50123
7.27195
23.01156
2.00495
−5.82338
23.01156


−7.46816
7.24779
23.01156
1.9606
−5.77447
23.01156


−7.4153
7.19591
23.01156
1.90318
−5.71111
23.01156


−7.35233
7.12087
23.01156
1.8315
−5.63171
23.01156


−7.27472
7.01554
23.01156
1.74438
−5.53509
23.01156


−7.18285
6.8801
23.01156
1.64083
−5.42005
23.01156


−7.06464
6.70289
23.01156
1.51965
−5.28561
23.01156


−6.92723
6.49935
23.01156
1.3757
−5.12721
23.01156


−6.77912
6.28333
23.01156
1.20938
−4.94465
23.01156


−6.61082
6.04138
23.01156
1.02089
−4.73794
23.01156


−6.42213
5.77348
23.01156
0.81002
−4.50688
23.01156


−6.21383
5.47965
23.01156
0.57658
−4.25185
23.01156


−5.99564
5.17255
23.01156
0.32036
−3.97307
23.01156


−5.76853
4.85179
23.01156
0.05267
−3.6826
23.01156


−5.53291
4.51697
23.01156
−0.22651
−3.38006
23.01156


−5.28878
4.1681
23.01156
−0.51658
−3.06544
23.01156


−5.03613
3.80516
23.01156
−0.81774
−2.73854
23.01156


−4.77517
3.42817
23.01156
−1.129
−2.39857
23.01156


−4.50549
3.03712
23.01156
−1.44995
−2.04534
23.01156


−4.22631
2.63281
23.01156
−1.77982
−1.67805
23.01156


−3.94614
2.22928
23.01156
−2.10632
−1.30779
23.01156


−3.66458
1.82675
23.01156
−2.42827
−0.93377
23.01156


−3.38065
1.4256
23.01156
−2.74428
−0.5546
23.01156


−3.09415
1.02663
23.01156
−3.05375
−0.16988
23.01156


−2.80427
0.63004
23.01156
−3.3563
0.22077
23.01156


−2.51064
0.23602
23.01156
−3.65152
0.61736
23.01156


−2.21384
−0.15523
23.01156
−3.94
1.0201
23.01156


−1.91446
−0.5449
23.01156
−4.22215
1.42778
23.01156


−1.6139
−0.93337
23.01156
−4.49836
1.83922
23.01156


−1.31234
−1.32125
23.01156
−4.77002
2.25383
23.01156


−1.01039
−1.70874
23.01156
−5.03771
2.67102
23.01156


−0.71815
−2.08316
23.01156
−5.29393
3.07593
23.01156


−0.436
−2.44471
23.01156
−5.53865
3.46876
23.01156


−0.16414
−2.79319
23.01156
−5.77249
3.84872
23.01156


0.09801
−3.1288
23.01156
−5.99623
4.21542
23.01156


0.35026
−3.45134
23.01156
−6.21007
4.56885
23.01156


0.59261
−3.76081
23.01156
−6.41362
4.90921
23.01156


0.82487
−4.05742
23.01156
−6.60667
5.2367
23.01156


1.03673
−4.32808
23.01156
−6.78843
5.55152
23.01156


1.22839
−4.57321
23.01156
−6.9498
5.84001
23.01156


1.39986
−4.79259
23.01156
−7.09097
6.10157
23.01156


1.55054
−4.98663
23.01156
−7.21274
6.3364
23.01156


1.68122
−5.15473
23.01156
−7.32303
6.55835
23.01156


1.7921
−5.2967
23.01156
−7.4151
6.75239
23.01156


1.88674
−5.41807
23.01156
−7.48143
6.90386
23.01156


1.96614
−5.52024
23.01156
−7.52756
7.02761
23.01156


2.03148
−5.60419
23.01156
−7.55489
7.12285
23.01156


2.08355
−5.67151
23.01156
−7.56756
7.19611
23.01156


2.12355
−5.72339
23.01156
−7.56815
7.23749
23.01156


2.15186
−5.76338
23.01156
−7.56281
7.26323
23.01156


2.1584
−5.80397
23.01156
−7.55608
7.27452
23.01156


2.1479
−5.83526
23.01156
−7.55132
7.27907
23.01156


−7.44302
7.33392
24.11917
1.9602
−6.00296
24.11917


−7.43985
7.33511
24.11917
1.93862
−6.01524
24.11917


−7.43332
7.3363
24.11917
1.90575
−6.0192
24.11917


−7.42025
7.33451
24.11917
1.86793
−6.00336
24.11917


−7.39649
7.32303
24.11917
1.83506
−5.96673
24.11917


−7.36421
7.29769
24.11917
1.7923
−5.91664
24.11917


−7.31293
7.24442
24.11917
1.73666
−5.85169
24.11917


−7.25175
7.1678
24.11917
1.66716
−5.77031
24.11917


−7.17631
7.06088
24.11917
1.58281
−5.67151
24.11917


−7.08642
6.92406
24.11917
1.48243
−5.5539
24.11917


−6.97059
6.74546
24.11917
1.36481
−5.41629
24.11917


−6.83516
6.54053
24.11917
1.22562
−5.25393
24.11917


−6.68903
6.32313
24.11917
1.06484
−5.06702
24.11917


−6.52271
6.07979
24.11917
0.88249
−4.85496
24.11917


−6.3364
5.81031
24.11917
0.67835
−4.61835
24.11917


−6.13087
5.5143
24.11917
0.45263
−4.35699
24.11917


−5.91624
5.20483
24.11917
0.20493
−4.07088
24.11917


−5.6929
4.88129
24.11917
−0.05405
−3.77289
24.11917


−5.46143
4.54351
24.11917
−0.32413
−3.46262
24.11917


−5.22205
4.19146
24.11917
−0.60509
−3.14008
24.11917


−4.97435
3.82516
24.11917
−0.89654
−2.80507
24.11917


−4.71854
3.44441
24.11917
−1.1979
−2.45678
24.11917


−4.4548
3.0494
24.11917
−1.50856
−2.09484
24.11917


−4.18235
2.64053
24.11917
−1.82794
−1.71884
24.11917


−3.90971
2.23186
24.11917
−2.14394
−1.34006
24.11917


−3.63686
1.82318
24.11917
−2.4556
−0.95792
24.11917


−3.36283
1.4153
24.11917
−2.76151
−0.57103
24.11917


−3.08642
1.00921
24.11917
−3.06108
−0.17899
24.11917


−2.80665
0.60509
24.11917
−3.35333
0.21899
24.11917


−2.52311
0.20394
24.11917
−3.63825
0.62291
24.11917


−2.23601
−0.19463
24.11917
−3.91624
1.03237
24.11917


−1.94614
−0.59143
24.11917
−4.18829
1.44619
24.11917


−1.65508
−0.98723
24.11917
−4.45579
1.86298
24.11917


−1.36303
−1.38244
24.11917
−4.71953
2.28215
24.11917


−1.07078
−1.77745
24.11917
−4.98089
2.7029
24.11917


−0.78824
−2.15919
24.11917
−5.23116
3.11078
24.11917


−0.51579
−2.52806
24.11917
−5.47074
3.50618
24.11917


−0.25304
−2.88367
24.11917
−5.69983
3.88852
24.11917


0.0002
−3.22601
24.11917
−5.91921
4.2574
24.11917


0.24374
−3.55509
24.11917
−6.12869
4.613
24.11917


0.47777
−3.8711
24.11917
−6.32848
4.95515
24.11917


0.70191
−4.17384
24.11917
−6.51856
5.28383
24.11917


0.90625
−4.45045
24.11917
−6.69735
5.60003
24.11917


1.09118
−4.70072
24.11917
−6.85634
5.88931
24.11917


1.25631
−4.92485
24.11917
−6.99574
6.15186
24.11917


1.40184
−5.12266
24.11917
−7.11533
6.38728
24.11917


1.52797
−5.29432
24.11917
−7.22363
6.60983
24.11917


1.63489
−5.43926
24.11917
−7.31392
6.80467
24.11917


1.72616
−5.56321
24.11917
−7.37847
6.95653
24.11917


1.80299
−5.66735
24.11917
−7.42361
7.08068
24.11917


1.86595
−5.75309
24.11917
−7.45015
7.17611
24.11917


1.91644
−5.82179
24.11917
−7.46222
7.24937
24.11917


1.95525
−5.87446
24.11917
−7.46282
7.29056
24.11917


1.98238
−5.91505
24.11917
−7.45747
7.3163
24.11917


1.98733
−5.95465
24.11917
−7.45074
7.32758
24.11917


1.97624
−5.98475
24.11917
−7.44599
7.33214
24.11917


−7.20324
7.48856
26.3342
1.60915
−6.23383
26.3342


−7.20027
7.48955
26.3342
1.58697
−6.24512
26.3342


−7.19354
7.49034
26.3342
1.5539
−6.2465
26.3342


−7.18067
7.48757
26.3342
1.51787
−6.2271
26.3342


−7.1579
7.4743
26.3342
1.48757
−6.18829
26.3342


−7.12721
7.44698
26.3342
1.44738
−6.13622
26.3342


−7.0789
7.39134
26.3342
1.39511
−6.0687
26.3342


−7.02148
7.31194
26.3342
1.32977
−5.98415
26.3342


−6.95059
7.20205
26.3342
1.25017
−5.88159
26.3342


−6.86525
7.06246
26.3342
1.15553
−5.75982
26.3342


−6.75378
6.88129
26.3342
1.04465
−5.61706
26.3342


−6.6229
6.67379
26.3342
0.91357
−5.44856
26.3342


−6.48094
6.45381
26.3342
0.7621
−5.25413
26.3342


−6.31957
6.2075
26.3342
0.59044
−5.03375
26.3342


−6.13899
5.93465
26.3342
0.39838
−4.78764
26.3342


−5.9404
5.63429
26.3342
0.18632
−4.51559
26.3342


−5.73349
5.31986
26.3342
−0.04574
−4.2176
26.3342


−5.51905
4.99099
26.3342
−0.28809
−3.90654
26.3342


−5.2969
4.64746
26.3342
−0.54074
−3.58281
26.3342


−5.06722
4.28927
26.3342
−0.80348
−3.24601
26.3342


−4.83061
3.91644
26.3342
−1.07593
−2.89595
26.3342


−4.58667
3.52856
26.3342
−1.35749
−2.53242
26.3342


−4.3358
3.12583
26.3342
−1.64776
−2.15483
26.3342


−4.07781
2.70824
26.3342
−1.94555
−1.7622
26.3342


−3.8218
2.28967
26.3342
−2.23918
−1.3666
26.3342


−3.56737
1.86991
26.3342
−2.52747
−0.96703
26.3342


−3.31373
1.44956
26.3342
−2.80922
−0.56272
26.3342


−3.0595
1.0296
26.3342
−3.08425
−0.15325
26.3342


−2.80348
0.61083
26.3342
−3.35234
0.26116
26.3342


−2.5447
0.19384
26.3342
−3.6137
0.68033
26.3342


−2.28254
−0.22097
26.3342
−3.86932
1.10286
26.3342


−2.01722
−0.6338
26.3342
−4.12058
1.52797
26.3342


−1.74893
−1.04485
26.3342
−4.36927
1.95466
26.3342


−1.47886
−1.45451
26.3342
−4.61637
2.38214
26.3342


−1.208
−1.86377
26.3342
−4.86268
2.81021
26.3342


−0.94624
−2.25958
26.3342
−5.09949
3.22463
26.3342


−0.69379
−2.64172
26.3342
−5.32699
3.62558
26.3342


−0.45045
−3.01039
26.3342
−5.54499
4.01287
26.3342


−0.21602
−3.36541
26.3342
−5.75348
4.38669
26.3342


0.0099
−3.70636
26.3342
−5.95307
4.74665
26.3342


0.22711
−4.03346
26.3342
−6.14394
5.09256
26.3342


0.4354
−4.34669
26.3342
−6.3257
5.42461
26.3342


0.62568
−4.6328
26.3342
−6.49737
5.74358
26.3342


0.79794
−4.89159
26.3342
−6.65003
6.03524
26.3342


0.95179
−5.12325
26.3342
−6.78368
6.29977
26.3342


1.08781
−5.32759
26.3342
−6.89832
6.53677
26.3342


1.20562
−5.5046
26.3342
−7.00168
6.76111
26.3342


1.30522
−5.65448
26.3342
−7.08701
6.95732
26.3342


1.39036
−5.78259
26.3342
−7.1476
7.11038
26.3342


1.46203
−5.8901
26.3342
−7.18918
7.23532
26.3342


1.52104
−5.97841
26.3342
−7.21334
7.33115
26.3342


1.56836
−6.0493
26.3342
−7.22383
7.40441
26.3342


1.60479
−6.10355
26.3342
−7.22363
7.44559
26.3342


1.63152
−6.14473
26.3342
−7.21789
7.47113
26.3342


1.63766
−6.18512
26.3342
−7.21116
7.48242
26.3342


1.62617
−6.21581
26.3342
−7.20621
7.48678
26.3342


−6.92188
7.74101
28.54942
1.2773
−6.34808
28.54942


−6.91871
7.742
28.54942
1.25473
−6.35818
28.54942


−6.91198
7.7422
28.54942
1.22166
−6.35758
28.54942


−6.89951
7.73824
28.54942
1.1876
−6.33481
28.54942


−6.87793
7.72299
28.54942
1.15909
−6.29462
28.54942


−6.84941
7.69369
28.54942
1.12088
−6.24136
28.54942


−6.80467
7.63528
28.54942
1.07098
−6.17206
28.54942


−6.7514
7.55311
28.54942
1.00881
−6.08533
28.54942


−6.68547
7.44005
28.54942
0.93317
−5.98
28.54942


−6.60528
7.29749
28.54942
0.84308
−5.85486
28.54942


−6.49915
7.11335
28.54942
0.73735
−5.70834
28.54942


−6.37441
6.90208
28.54942
0.61241
−5.53549
28.54942


−6.23898
6.67814
28.54942
0.46827
−5.3359
28.54942


−6.08533
6.42728
28.54942
0.30452
−5.10998
28.54942


−5.91347
6.14889
28.54942
0.12177
−4.85734
28.54942


−5.72458
5.84278
28.54942
−0.07999
−4.57796
28.54942


−5.52816
5.52202
28.54942
−0.30056
−4.27165
28.54942


−5.32462
5.18641
28.54942
−0.53024
−3.95168
28.54942


−5.11434
4.83595
28.54942
−0.76864
−3.61786
28.54942


−4.89793
4.47005
28.54942
−1.01574
−3.27017
28.54942


−4.67577
4.0887
28.54942
−1.27096
−2.90803
28.54942


−4.44767
3.69151
28.54942
−1.53371
−2.53103
28.54942


−4.21384
3.27908
28.54942
−1.80299
−2.13899
28.54942


−3.97386
2.8512
28.54942
−2.07742
−1.73052
28.54942


−3.73626
2.42194
28.54942
−2.34571
−1.31769
28.54942


−3.50104
1.99148
28.54942
−2.60588
−0.89951
28.54942


−3.26759
1.55984
28.54942
−2.85793
−0.47579
28.54942


−3.03593
1.12741
28.54942
−3.10286
−0.04752
28.54942


−2.80526
0.69439
28.54942
−3.34204
0.38392
28.54942


−2.5744
0.26136
28.54942
−3.57727
0.81734
28.54942


−2.34175
−0.17048
28.54942
−3.80992
1.25235
28.54942


−2.10553
−0.60053
28.54942
−4.04078
1.68815
28.54942


−1.86457
−1.02782
28.54942
−4.27046
2.12474
28.54942


−1.61924
−1.45253
28.54942
−4.49896
2.56172
28.54942


−1.37075
−1.87526
28.54942
−4.72685
2.9993
28.54942


−1.129
−2.28314
28.54942
−4.94683
3.42223
28.54942


−0.89456
−2.67637
28.54942
−5.15889
3.8309
28.54942


−0.66785
−3.05514
28.54942
−5.36303
4.22512
28.54942


−0.44847
−3.41926
28.54942
−5.55905
4.60508
28.54942


−0.23641
−3.76853
28.54942
−5.74735
4.97039
28.54942


−0.03168
−4.10335
28.54942
−5.92812
5.32125
28.54942


0.16533
−4.42372
28.54942
−6.10058
5.65785
28.54942


0.34551
−4.71596
28.54942
−6.26333
5.98079
28.54942


0.50886
−4.9801
28.54942
−6.40847
6.27581
28.54942


0.65498
−5.21651
28.54942
−6.53558
6.54311
28.54942


0.78408
−5.4252
28.54942
−6.64448
6.78269
28.54942


0.89575
−5.60597
28.54942
−6.7423
7.009
28.54942


0.9904
−5.75903
28.54942
−6.82268
7.2072
28.54942


1.07118
−5.88971
28.54942
−6.87852
7.36164
28.54942


1.1389
−5.9996
28.54942
−6.91594
7.48777
28.54942


1.19473
−6.09008
28.54942
−6.93693
7.58419
28.54942


1.23948
−6.16235
28.54942
−6.94505
7.65765
28.54942


1.27373
−6.21799
28.54942
−6.94346
7.69864
28.54942


1.29947
−6.25977
28.54942
−6.93693
7.72418
28.54942


1.3066
−6.29996
28.54942
−6.9298
7.73507
28.54942


1.29492
−6.33046
28.54942
−6.92465
7.73942
28.54942


−6.7916
7.88872
29.65703
1.11375
−6.37124
29.65703


−6.78843
7.88971
29.65703
1.09098
−6.38095
29.65703


−6.7819
7.88931
29.65703
1.05811
−6.37956
29.65703


−6.76982
7.88416
29.65703
1.02505
−6.35521
29.65703


−6.74942
7.86753
29.65703
0.99713
−6.31481
29.65703


−6.7225
7.83644
29.65703
0.95971
−6.26076
29.65703


−6.68052
7.77625
29.65703
0.911
−6.19047
29.65703


−6.63023
7.6919
29.65703
0.85001
−6.10295
29.65703


−6.56766
7.57706
29.65703
0.77596
−5.99623
29.65703


−6.49004
7.43312
29.65703
0.68785
−5.86951
29.65703


−6.38708
7.247
29.65703
0.58469
−5.72141
29.65703


−6.26591
7.03355
29.65703
0.46253
−5.54618
29.65703


−6.13463
6.80724
29.65703
0.32135
−5.34422
29.65703


−5.98514
6.5536
29.65703
0.16137
−5.11553
29.65703


−5.81843
6.27205
29.65703
−0.01762
−4.85971
29.65703


−5.63488
5.96257
29.65703
−0.21503
−4.57697
29.65703


−5.44401
5.63845
29.65703
−0.43085
−4.2669
29.65703


−5.24621
5.29927
29.65703
−0.65538
−3.94297
29.65703


−5.04167
4.94525
29.65703
−0.88823
−3.60479
29.65703


−4.8312
4.57578
29.65703
−1.1286
−3.25215
29.65703


−4.61558
4.19047
29.65703
−1.3761
−2.88407
29.65703


−4.39461
3.78952
29.65703
−1.62934
−2.50054
29.65703


−4.1683
3.37293
29.65703
−1.88773
−2.10038
29.65703


−3.93644
2.9407
29.65703
−2.14929
−1.683
29.65703


−3.70735
2.50708
29.65703
−2.40372
−1.26067
29.65703


−3.48104
2.07207
29.65703
−2.65003
−0.83318
29.65703


−3.2571
1.63548
29.65703
−2.88783
−0.40115
29.65703


−3.03574
1.1977
29.65703
−3.1187
0.03445
29.65703


−2.81596
0.75913
29.65703
−3.34501
0.47243
29.65703


−2.59717
0.31997
29.65703
−3.56836
0.91199
29.65703


−2.37719
−0.1186
29.65703
−3.79051
1.35234
29.65703


−2.15424
−0.55559
29.65703
−4.01188
1.79289
29.65703


−1.92674
−0.9902
29.65703
−4.23265
2.23364
29.65703


−1.69468
−1.42223
29.65703
−4.45302
2.67498
29.65703


−1.45807
−1.85189
29.65703
−4.673
3.11612
29.65703


−1.22661
−2.26591
29.65703
−4.88585
3.54262
29.65703


−1.00089
−2.66429
29.65703
−5.09137
3.95446
29.65703


−0.78151
−3.04722
29.65703
−5.28957
4.35145
29.65703


−0.56846
−3.4151
29.65703
−5.48005
4.73418
29.65703


−0.36194
−3.76794
29.65703
−5.6632
5.10187
29.65703


−0.16216
−4.10593
29.65703
−5.83882
5.4551
29.65703


0.0299
−4.42926
29.65703
−6.00613
5.79407
29.65703


0.20592
−4.72408
29.65703
−6.16433
6.11939
29.65703


0.36531
−4.99079
29.65703
−6.30511
6.41639
29.65703


0.50787
−5.22938
29.65703
−6.42807
6.68547
29.65703


0.6336
−5.44005
29.65703
−6.5336
6.92624
29.65703


0.7427
−5.62261
29.65703
−6.62825
7.15394
29.65703


0.83477
−5.77705
29.65703
−6.70547
7.35313
29.65703


0.91337
−5.90911
29.65703
−6.75814
7.50875
29.65703


0.97951
−6.02019
29.65703
−6.79279
7.63567
29.65703


1.03376
−6.11167
29.65703
−6.8114
7.73249
29.65703


1.07712
−6.18473
29.65703
−6.81754
7.80615
29.65703


1.11058
−6.24096
29.65703
−6.81476
7.84714
29.65703


1.13553
−6.28313
29.65703
−6.80724
7.87228
29.65703


1.14325
−6.32293
29.65703
−6.79972
7.88317
29.65703


1.13157
−6.35382
29.65703
−6.79457
7.88713
29.65703


−6.63597
8.06474
30.76445
0.92169
−6.3958
30.76445


−6.6328
8.06553
30.76445
0.89872
−6.4051
30.76445


−6.62607
8.06434
30.76445
0.86585
−6.40253
30.76445


−6.61478
8.05761
30.76445
0.83417
−6.37679
30.76445


−6.59617
8.0392
30.76445
0.80685
−6.3358
30.76445


−6.57162
8.00653
30.76445
0.77042
−6.28096
30.76445


−6.53321
7.94356
30.76445
0.7231
−6.20987
30.76445


−6.48688
7.85684
30.76445
0.66389
−6.12077
30.76445


−6.42807
7.74002
30.76445
0.59182
−6.01267
30.76445


−6.35402
7.59389
30.76445
0.50629
−5.88397
30.76445


−6.25601
7.4052
30.76445
0.4059
−5.73349
30.76445


−6.14057
7.18859
30.76445
0.2873
−5.55568
30.76445


−6.01544
6.95871
30.76445
0.15048
−5.35055
30.76445


−5.87308
6.70072
30.76445
−0.00495
−5.1181
30.76445


−5.71388
6.4148
30.76445
−0.1784
−4.85833
30.76445


−5.53806
6.10078
30.76445
−0.36967
−4.57083
30.76445


−5.35491
5.7719
30.76445
−0.57895
−4.25581
30.76445


−5.16503
5.42837
30.76445
−0.79636
−3.92674
30.76445


−4.96841
5.06959
30.76445
−1.02168
−3.58281
30.76445


−4.76586
4.69537
30.76445
−1.25374
−3.22403
30.76445


−4.55816
4.30551
30.76445
−1.49173
−2.84942
30.76445


−4.3457
3.89981
30.76445
−1.73468
−2.45837
30.76445


−4.1281
3.47787
30.76445
−1.98099
−2.05009
30.76445


−3.90575
3.04029
30.76445
−2.22908
−1.6236
30.76445


−3.68617
2.60132
30.76445
−2.46946
−1.19236
30.76445


−3.46975
2.16077
30.76445
−2.70131
−0.75656
30.76445


−3.25631
1.71864
30.76445
−2.92525
−0.317
30.76445


−3.04564
1.27532
30.76445
−3.14305
0.12573
30.76445


−2.83675
0.83101
30.76445
−3.35689
0.57024
30.76445


−2.62904
0.3863
30.76445
−3.56875
1.01594
30.76445


−2.42075
−0.05821
30.76445
−3.77982
1.46183
30.76445


−2.21008
−0.50173
30.76445
−3.99089
1.90793
30.76445


−1.99525
−0.94307
30.76445
−4.20196
2.35382
30.76445


−1.77566
−1.38184
30.76445
−4.41302
2.79992
30.76445


−1.55133
−1.81823
30.76445
−4.62449
3.24562
30.76445


−1.33076
−2.23819
30.76445
−4.82942
3.67646
30.76445


−1.11454
−2.64211
30.76445
−5.02762
4.09207
30.76445


−0.90387
−3.03019
30.76445
−5.21849
4.49302
30.76445


−0.69874
−3.40303
30.76445
−5.40203
4.87931
30.76445


−0.49975
−3.76042
30.76445
−5.57806
5.25096
30.76445


−0.30749
−4.10276
30.76445
−5.74675
5.60776
30.76445


−0.12217
−4.43025
30.76445
−5.90674
5.95049
30.76445


0.04752
−4.72903
30.76445
−6.05781
6.27937
30.76445


0.20117
−4.9993
30.76445
−6.19225
6.57954
30.76445


0.33858
−5.24106
30.76445
−6.30947
6.85139
30.76445


0.45995
−5.4545
30.76445
−6.40946
7.09474
30.76445


0.56509
−5.63944
30.76445
−6.49895
7.32481
30.76445


0.6538
−5.79586
30.76445
−6.57043
7.52618
30.76445


0.72983
−5.9297
30.76445
−6.61795
7.68379
30.76445


0.79339
−6.04217
30.76445
−6.64785
7.81189
30.76445


0.84586
−6.13463
30.76445
−6.6627
7.90931
30.76445


0.88783
−6.20869
30.76445
−6.66567
7.98336
30.76445


0.91991
−6.26571
30.76445
−6.66112
8.02415
30.76445


0.94406
−6.30848
30.76445
−6.65221
8.0489
30.76445


0.95159
−6.34828
30.76445
−6.64429
8.05919
30.76445


0.93951
−6.37877
30.76445
−6.63894
8.06315
30.76445


−6.48034
8.22254
31.57506
0.76765
−6.41599
31.57506


−6.47717
8.22314
31.57506
0.74448
−6.4249
31.57506


−6.47064
8.22136
31.57506
0.71161
−6.42134
31.57506


−6.46015
8.21363
31.57506
0.68092
−6.39461
31.57506


−6.44292
8.19383
31.57506
0.65399
−6.35303
31.57506


−6.42035
8.15958
31.57506
0.61835
−6.29759
31.57506


−6.38491
8.09503
31.57506
0.57202
−6.22571
31.57506


−6.34214
8.00653
31.57506
0.51421
−6.13582
31.57506


−6.2865
7.88792
31.57506
0.44372
−6.02633
31.57506


−6.21621
7.73982
31.57506
0.35996
−5.89624
31.57506


−6.12335
7.54835
31.57506
0.26195
−5.74398
31.57506


−6.01385
7.32857
31.57506
0.14612
−5.564
31.57506


−5.89525
7.09493
31.57506
0.01247
−5.3563
31.57506


−5.76061
6.83278
31.57506
−0.139
−5.12087
31.57506


−5.60993
6.54192
31.57506
−0.30789
−4.85773
31.57506


−5.44243
6.22294
31.57506
−0.49441
−4.56667
31.57506


−5.26739
5.88931
31.57506
−0.69795
−4.2473
31.57506


−5.08603
5.54063
31.57506
−0.90922
−3.91347
31.57506


−4.89852
5.17671
31.57506
−1.12781
−3.56499
31.57506


−4.70507
4.79754
31.57506
−1.35274
−3.20087
31.57506


−4.50648
4.40233
31.57506
−1.58321
−2.82091
31.57506


−4.30333
3.99148
31.57506
−1.81764
−2.42431
31.57506


−4.09523
3.5644
31.57506
−2.05504
−2.0101
31.57506


−3.88258
3.12147
31.57506
−2.29343
−1.57727
31.57506


−3.6727
2.67736
31.57506
−2.52371
−1.13969
31.57506


−3.46559
2.23166
31.57506
−2.74547
−0.69795
31.57506


−3.26126
1.78477
31.57506
−2.95931
−0.25265
31.57506


−3.0593
1.3367
31.57506
−3.16741
0.19543
31.57506


−2.85912
0.88783
31.57506
−3.37174
0.64548
31.57506


−2.65993
0.43877
31.57506
−3.5741
1.09613
31.57506


−2.45995
−0.0103
31.57506
−3.77606
1.54717
31.57506


−2.25779
−0.45817
31.57506
−3.97782
1.99822
31.57506


−2.05148
−0.90427
31.57506
−4.17958
2.44926
31.57506


−1.84041
−1.34779
31.57506
−4.38154
2.9003
31.57506


−1.62439
−1.78913
31.57506
−4.5839
3.35115
31.57506


−1.41174
−2.21364
31.57506
−4.78012
3.78655
31.57506


−1.20305
−2.62211
31.57506
−4.9696
4.2071
31.57506


−0.99931
−3.01475
31.57506
−5.15196
4.61281
31.57506


−0.80131
−3.39174
31.57506
−5.32699
5.00366
31.57506


−0.60905
−3.75329
31.57506
−5.49509
5.37946
31.57506


−0.42313
−4.09959
31.57506
−5.65547
5.74081
31.57506


−0.24374
−4.43104
31.57506
−5.80734
6.08791
31.57506


−0.0796
−4.73319
31.57506
−5.95049
6.42074
31.57506


0.0695
−5.00643
31.57506
−6.0782
6.72448
31.57506


0.20275
−5.25096
31.57506
−6.18928
6.9993
31.57506


0.32036
−5.46658
31.57506
−6.28373
7.24522
31.57506


0.42233
−5.65349
31.57506
−6.36748
7.47767
31.57506


0.50866
−5.8117
31.57506
−6.43322
7.68161
31.57506


0.58232
−5.94693
31.57506
−6.47559
7.8406
31.57506


0.64429
−6.06038
31.57506
−6.50153
7.9699
31.57506


0.69538
−6.15404
31.57506
−6.51281
8.0681
31.57506


0.73597
−6.22868
31.57506
−6.51321
8.14216
31.57506


0.76745
−6.2863
31.57506
−6.50707
8.18275
31.57506


0.79081
−6.32947
31.57506
−6.49737
8.2073
31.57506


0.79774
−6.36926
31.57506
−6.48886
8.2174
31.57506


0.78547
−6.39916
31.57506
−6.48331
8.22096
31.57506


−6.29086
8.40609
32.42587
0.60093
−6.43777
32.42587


−6.28749
8.40629
32.42587
0.57737
−6.44648
32.42587


−6.28155
8.40371
32.42587
0.5447
−6.44193
32.42587


−6.27185
8.3948
32.42587
0.5148
−6.41381
32.42587


−6.2564
8.37342
32.42587
0.48866
−6.37184
32.42587


−6.23641
8.33758
32.42587
0.45362
−6.3158
32.42587


−6.20512
8.27066
32.42587
0.40828
−6.24314
32.42587


−6.16651
8.18017
32.42587
0.35165
−6.15206
32.42587


−6.11503
8.05939
32.42587
0.28294
−6.04138
32.42587


−6.04969
7.90891
32.42587
0.20117
−5.90971
32.42587


−5.96317
7.71408
32.42587
0.10553
−5.75546
32.42587


−5.8608
7.49034
32.42587
−0.00752
−5.57311
32.42587


−5.74992
7.25234
32.42587
−0.13781
−5.36283
32.42587


−5.62379
6.98544
32.42587
−0.28512
−5.12424
32.42587


−5.48242
6.68923
32.42587
−0.44946
−4.85734
32.42587


−5.32541
6.36431
32.42587
−0.63043
−4.56192
32.42587


−5.16107
6.02474
32.42587
−0.82784
−4.23799
32.42587


−4.99079
5.66973
32.42587
−1.03237
−3.89902
32.42587


−4.81457
5.29927
32.42587
−1.24344
−3.54499
32.42587


−4.6328
4.91357
32.42587
−1.46045
−3.17533
32.42587


−4.44609
4.51183
32.42587
−1.68221
−2.78962
32.42587


−4.25443
4.09444
32.42587
−1.90793
−2.38689
32.42587


−4.05841
3.66102
32.42587
−2.13583
−1.96654
32.42587


−3.85783
3.21156
32.42587
−2.36412
−1.52757
32.42587


−3.65944
2.76111
32.42587
−2.5841
−1.08385
32.42587


−3.46342
2.30967
32.42587
−2.79536
−0.63558
32.42587


−3.26938
1.85744
32.42587
−2.99891
−0.18394
32.42587


−3.07732
1.40422
32.42587
−3.19671
0.27027
32.42587


−2.88684
0.9504
32.42587
−3.39075
0.72607
32.42587


−2.69656
0.49639
32.42587
−3.58301
1.18265
32.42587


−2.50549
0.04277
32.42587
−3.77428
1.63964
32.42587


−2.31185
−0.40966
32.42587
−3.96535
2.09682
32.42587


−2.11424
−0.86051
32.42587
−4.15602
2.554
32.42587


−1.91169
−1.30898
32.42587
−4.34689
3.01118
32.42587


−1.70419
−1.75527
32.42587
−4.53796
3.46837
32.42587


−1.49965
−2.18473
32.42587
−4.7227
3.9101
32.42587


−1.29908
−2.59796
32.42587
−4.9007
4.33679
32.42587


−1.10326
−2.99534
32.42587
−5.07197
4.74863
32.42587


−0.91298
−3.37709
32.42587
−5.23631
5.14523
32.42587


−0.72824
−3.74339
32.42587
−5.39352
5.52697
32.42587


−0.54945
−4.09424
32.42587
−5.54341
5.89387
32.42587


−0.37679
−4.42985
32.42587
−5.68478
6.24631
32.42587


−0.21859
−4.73576
32.42587
−5.81823
6.58429
32.42587


−0.07484
−5.01237
32.42587
−5.93703
6.89258
32.42587


0.05405
−5.25967
32.42587
−6.03979
7.17136
32.42587


0.1679
−5.47787
32.42587
−6.12711
7.42084
32.42587


0.26651
−5.66696
32.42587
−6.20393
7.65626
32.42587


0.35006
−5.82694
32.42587
−6.26314
7.86258
32.42587


0.42154
−5.96356
32.42587
−6.30036
8.02355
32.42587


0.48173
−6.0784
32.42587
−6.32155
8.15404
32.42587


0.53104
−6.17305
32.42587
−6.32947
8.25284
32.42587


0.57064
−6.24848
32.42587
−6.32709
8.32709
32.42587


0.60113
−6.3067
32.42587
−6.31917
8.36748
32.42587


0.6239
−6.35026
32.42587
−6.30848
8.39164
32.42587


0.63142
−6.39025
32.42587
−6.29937
8.40114
32.42587


0.61934
−6.42094
32.42587
−6.29383
8.4047
32.42587


−6.16077
8.53024
32.97967
0.49203
−6.45223
32.97967


−6.1576
8.53024
32.97967
0.46827
−6.46054
32.97967


−6.15186
8.52707
32.97967
0.4354
−6.45539
32.97967


−6.14315
8.51717
32.97967
0.4063
−6.42649
32.97967


−6.12929
8.49479
32.97967
0.38036
−6.38431
32.97967


−6.11147
8.45777
32.97967
0.34591
−6.32788
32.97967


−6.08375
8.38926
32.97967
0.30136
−6.25442
32.97967


−6.04811
8.29719
32.97967
0.24532
−6.16255
32.97967


−5.9998
8.17502
32.97967
0.17761
−6.05108
32.97967


−5.93782
8.02276
32.97967
0.09722
−5.91802
32.97967


−5.85526
7.82575
32.97967
0.00317
−5.76259
32.97967


−5.75764
7.59924
32.97967
−0.10811
−5.57865
32.97967


−5.65112
7.35887
32.97967
−0.23641
−5.36639
32.97967


−5.53014
7.08899
32.97967
−0.38115
−5.12563
32.97967


−5.39451
6.78942
32.97967
−0.54252
−4.85615
32.97967


−5.24482
6.46034
32.97967
−0.72013
−4.55796
32.97967


−5.0882
6.11622
32.97967
−0.91357
−4.23086
32.97967


−4.92545
5.75685
32.97967
−1.11375
−3.88852
32.97967


−4.75735
5.38204
32.97967
−1.32026
−3.53093
32.97967


−4.5837
4.99158
32.97967
−1.53193
−3.15731
32.97967


−4.4051
4.58548
32.97967
−1.74834
−2.76745
32.97967


−4.22176
4.16335
32.97967
−1.96812
−2.36056
32.97967


−4.03385
3.72537
32.97967
−2.19008
−1.93604
32.97967


−3.8416
3.27136
32.97967
−2.41204
−1.49272
32.97967


−3.65112
2.81655
32.97967
−2.62528
−1.04485
32.97967


−3.46223
2.36115
32.97967
−2.82982
−0.59222
32.97967


−3.27532
1.90476
32.97967
−3.02663
−0.13662
32.97967


−3.08979
1.44797
32.97967
−3.2175
0.32155
32.97967


−2.90525
0.99079
32.97967
−3.40501
0.78111
32.97967


−2.72092
0.53341
32.97967
−3.59033
1.24166
32.97967


−2.53539
0.07663
32.97967
−3.77467
1.7026
32.97967


−2.34729
−0.37917
32.97967
−3.95822
2.16374
32.97967


−2.15523
−0.83318
32.97967
−4.14137
2.62508
32.97967


−1.95802
−1.28502
32.97967
−4.32452
3.08642
32.97967


−1.75586
−1.73468
32.97967
−4.50767
3.54776
32.97967


−1.55648
−2.16751
32.97967
−4.68428
3.99386
32.97967


−1.36105
−2.5841
32.97967
−4.85437
4.4249
32.97967


−1.17058
−2.98465
32.97967
−5.01752
4.8407
32.97967


−0.98505
−3.36976
32.97967
−5.17394
5.24146
32.97967


−0.80527
−3.73903
32.97967
−5.32363
5.62716
32.97967


−0.63103
−4.09306
32.97967
−5.46599
5.99782
32.97967


−0.46292
−4.43144
32.97967
−5.60023
6.35382
32.97967


−0.30829
−4.73992
32.97967
−5.72675
6.69537
32.97967


−0.16771
−5.0189
32.97967
−5.83823
7.00682
32.97967


−0.04178
−5.26819
32.97967
−5.93505
7.28838
32.97967


0.0695
−5.48816
32.97967
−6.01722
7.54004
32.97967


0.16612
−5.67884
32.97967
−6.08989
7.77744
32.97967


0.2479
−5.84001
32.97967
−6.14493
7.98534
32.97967


0.31799
−5.97762
32.97967
−6.17879
8.1473
32.97967


0.37699
−6.09325
32.97967
−6.1972
8.27838
32.97967


0.4255
−6.18849
32.97967
−6.20294
8.37758
32.97967


0.46431
−6.26452
32.97967
−6.19879
8.45183
32.97967


0.49421
−6.32313
32.97967
−6.19007
8.49222
32.97967


0.51658
−6.36709
32.97967
−6.17859
8.51618
32.97967


0.52252
−6.40649
32.97967
−6.16948
8.52548
32.97967


0.51005
−6.43599
32.97967
−6.16374
8.52885
32.97967


−6.02237
8.66646
33.57367
0.37521
−6.46767
33.57367


−6.0194
8.66626
33.57367
0.35125
−6.47559
33.57367


−6.01405
8.6623
33.57367
0.31838
−6.46965
33.57367


−6.00653
8.65161
33.57367
0.28967
−6.44035
33.57367


−5.99485
8.62785
33.57367
0.26433
−6.39758
33.57367


−5.98019
8.58944
33.57367
0.23047
−6.34055
33.57367


−5.95663
8.51915
33.57367
0.18652
−6.2665
33.57367


−5.92376
8.42589
33.57367
0.13167
−6.17384
33.57367


−5.87862
8.30214
33.57367
0.06494
−6.06118
33.57367


−5.82021
8.1481
33.57367
−0.01406
−5.92693
33.57367


−5.7422
7.94871
33.57367
−0.10633
−5.76972
33.57367


−5.64914
7.72002
33.57367
−0.21562
−5.58419
33.57367


−5.54737
7.47688
33.57367
−0.34155
−5.36996
33.57367


−5.43134
7.20403
33.57367
−0.48352
−5.12662
33.57367


−5.30165
6.90129
33.57367
−0.64172
−4.85456
33.57367


−5.15968
6.56786
33.57367
−0.81596
−4.55321
33.57367


−5.01178
6.21918
33.57367
−1.00525
−4.22275
33.57367


−4.85714
5.85545
33.57367
−1.20107
−3.87684
33.57367


−4.69755
5.47589
33.57367
−1.40263
−3.51509
33.57367


−4.53301
5.08048
33.57367
−1.60915
−3.13751
33.57367


−4.36313
4.66963
33.57367
−1.81982
−2.74329
33.57367


−4.18849
4.24274
33.57367
−2.03346
−2.33185
33.57367


−4.0097
3.79982
33.57367
−2.24869
−1.90278
33.57367


−3.82615
3.34105
33.57367
−2.46371
−1.45471
33.57367


−3.64419
2.88169
33.57367
−2.67003
−1.00208
33.57367


−3.46322
2.42194
33.57367
−2.86724
−0.54509
33.57367


−3.28363
1.96159
33.57367
−3.05672
−0.08494
33.57367


−3.10504
1.50084
33.57367
−3.24047
0.37739
33.57367


−2.92723
1.0397
33.57367
−3.42045
0.8413
33.57367


−2.74923
0.57875
33.57367
−3.59845
1.30581
33.57367


−2.56984
0.1184
33.57367
−3.77527
1.77111
33.57367


−2.38768
−0.34096
33.57367
−3.95089
2.23661
33.57367


−2.20136
−0.79853
33.57367
−4.12592
2.7025
33.57367


−2.0101
−1.25413
33.57367
−4.30076
3.1684
33.57367


−1.81388
−1.70755
33.57367
−4.4752
3.63429
33.57367


−1.62043
−2.14414
33.57367
−4.6433
4.08514
33.57367


−1.43055
−2.5645
33.57367
−4.80447
4.52074
33.57367


−1.24562
−2.96881
33.57367
−4.95891
4.94109
33.57367


−1.06544
−3.35749
33.57367
−5.10701
5.346
33.57367


−0.8906
−3.73012
33.57367
−5.24839
5.73586
33.57367


−0.72112
−4.08731
33.57367
−5.38263
6.11068
33.57367


−0.55737
−4.42886
33.57367
−5.50915
6.47064
33.57367


−0.40649
−4.74032
33.57367
−5.62795
6.81556
33.57367


−0.26948
−5.02148
33.57367
−5.73091
7.13097
33.57367


−0.14632
−5.27314
33.57367
−5.82061
7.41569
33.57367


−0.03762
−5.4949
33.57367
−5.89763
7.66973
33.57367


0.05663
−5.68715
33.57367
−5.96574
7.90911
33.57367


0.13662
−5.84971
33.57367
−6.01643
8.11859
33.57367


0.20513
−5.98851
33.57367
−6.04672
8.28175
33.57367


0.26294
−6.10513
33.57367
−6.06236
8.41361
33.57367


0.31027
−6.20116
33.57367
−6.06613
8.51301
33.57367


0.34828
−6.27799
33.57367
−6.06078
8.58746
33.57367


0.37759
−6.33699
33.57367
−6.05147
8.62785
33.57367


0.39937
−6.38134
33.57367
−6.03999
8.65181
33.57367


0.4063
−6.42114
33.57367
−6.03088
8.66131
33.57367


0.39362
−6.45124
33.57367
−6.02514
8.66488
33.57367









It is noted that the first column of TABLE I lists X coordinate values of the pressure side at each respective Z coordinate value of the third column, the second column lists Y coordinate values of the pressure side at each respective Z coordinate value of the third column, the fourth column lists X coordinate values of the suction side at each respective Z coordinate value of the sixth column, and the fifth column lists Y coordinate values of the suction side at each respective Z coordinate value of the sixth column. The Z coordinate values of the third column and the sixth column are equal to each other for each respective row. As set forth in TABLE I, at each respective Z coordinate value, the airfoil shape 110 of the airfoil 82 (e.g., a cross-sectional profile taken through line 6-6 of FIGS. 3, 4, and 5) is defined by multiple sets of Cartesian coordinate values of X, Y, and Z for both the suction side 62 (e.g., suction side profile 112) and the pressure side 64 (e.g., pressure side profile 114). For example, at each respective Z coordinate value, the suction side profile 112 of the suction side 62 may be defined by at least equal to or greater than 10, 15, 20, 25, 30, 35, 40, 45, 50, or 55 (e.g., 56) sets of Cartesian coordinate values of X, Y, and Z. Similarly, at each respective Z coordinate value, the pressure side profile 114 of the pressure side 64 may be defined by at least equal to or greater than 10, 15, 20, 25, 30, 35, 40, 45, 50, or 55 (e.g., 56) sets of Cartesian coordinate values of X, Y, and Z. Furthermore, in the Z direction along the Z axis 74, the airfoil profile of the airfoil 82 may be defined by multiple sets of Cartesian coordinate values of X, Y, and Z at multiple Cartesian coordinate values of Z, such as at least equal to or greater than 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, or more Cartesian coordinate values of Z.


As noted above, the Cartesian coordinate values of X, Y, and Z as set forth in TABLE I may be non-dimensional values convertible to dimensional distances. For example, the Cartesian coordinate values of X, Y, and Z may be multiplied by a scale factor F (e.g., F equal to 1, greater than 1, or less than 1) to obtain the desired dimensional distances. In certain embodiments, a nominal airfoil profile of the airfoil 82 may be partially or entirely (e.g., all or part of the suction side 62, all or part of the pressure side 64, or a combination thereof) defined by the Cartesian coordinate values of X, Y, and Z as set forth in TABLE I. The nominal airfoil profile of the airfoil 82 also may be covered by the coating 120, which increases the X and Y values as set forth in TABLE I.


For example, the airfoil 82 may include a first suction portion (e.g., 80) of the nominal airfoil profile substantially in accordance with Cartesian coordinate values of X, Y, and Z of the suction side 62 as set forth in TABLE I, wherein the X and Y values of the suction side 62 are coordinate values that couple together (e.g., in a smooth continuous and/or curved manner) to define suction side sections of the first suction portion (e.g., 80) of the nominal airfoil profile at each Z coordinate value, and the suction side sections of the first suction portion (e.g., 80) of the nominal airfoil profile are coupled together (e.g., in a smooth continuous and/or curved manner) to define the first suction portion (e.g., 80). In such an embodiment, the airfoil 82 has an airfoil length L along the Z axis 74, and the first suction portion (e.g., 80) comprises a first portion length l along the Z axis as illustrated and described above with reference to FIG. 4. The first portion length l is less than or equal to the airfoil length L. The first portion length l may include greater than or equal to 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, or more Cartesian coordinate values of Z (e.g., consecutive values of Z) in TABLE I. The first portion length l may be equal to or greater than approximately 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 99, or 100 percent of the airfoil length L.


By further example, the airfoil 82 may include a second suction portion (e.g., 80) of the nominal airfoil profile substantially in accordance with the Cartesian coordinate values of X, Y, and Z of the suction side 62 as set forth in TABLE I, wherein the X and Y values of the suction side 62 are coordinate values that couple together (e.g., in a smooth continuous and/or curved manner) to define suction side sections of the second suction portion (e.g., 80) of the nominal airfoil profile at each Z coordinate value, the suction side sections of the second suction portion (e.g., 80) of the nominal airfoil profile are coupled together (e.g., in a smooth continuous and/or curved manner) to define the second suction portion (e.g., 80). In such an embodiment, the second suction portion (e.g., 80) has a second portion length l along the Z axis, the second portion length l is less than or equal to the airfoil length L, and the first and second suction portions (e.g., 80, 102, 104, 106) are offset from one another along the Z axis as illustrated and described above with reference to FIGS. 4 and 5. Again, the second portion length l may include greater than or equal to 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, or more Cartesian coordinate values of Z (e.g., consecutive values of Z) in TABLE I. The second portion length l may be equal to or greater than approximately 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 99, or 100 percent of the airfoil length L. Furthermore, the first and second suction portions (e.g., 80, 102, 104, 106) may be separated by an offset distance of equal to or greater than approximately 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, or 90 percent of the airfoil length L.


By further example, the airfoil 82 may include a first pressure portion (e.g., 80) of the nominal airfoil profile substantially in accordance with the Cartesian coordinate values of X, Y, and Z of the pressure side 64 as set forth in TABLE I, wherein the X and Y values of the pressure side 64 are coordinate values that couple together (e.g., in a smooth continuous and/or curved manner) to define pressure side sections of the first pressure portion (e.g., 80) of the nominal airfoil profile at each Z coordinate value, the pressure side sections of the first pressure portion (e.g., 80) of the nominal airfoil profile are coupled together (e.g., in a smooth continuous and/or curved manner) to define the first pressure portion (e.g., 80). In such an embodiment, the first pressure portion (e.g., 80) comprises a second portion length l along the Z axis, and the second portion length l is less than or equal to the airfoil length L as illustrated and described above with reference to FIG. 4. Similar to the first suction portion (e.g., 80), the second portion length l of the first pressure portion (e.g., 80) may include greater than or equal to 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, or more Cartesian coordinate values of Z (e.g., consecutive values of Z) in TABLE I. The second portion length l of the first pressure portion (e.g., 80) may be equal to or greater than approximately 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 99, or 100 percent of the airfoil length L. In certain embodiments, the first suction portion (e.g., 80) and the first pressure portion (e.g., 80) at least partially overlap with one another along the Z axis.


For example, in certain embodiments, the first and second portion lengths l may be substantially the same, and the first and second portion lengths l may start at a common distance d relative to the base 60 of the airfoil 82 and extend toward the tip 68 of the airfoil 82. However, in some embodiments, the first and second portion lengths l may be different from one another, the first and second portion lengths l may start at different distances d relative to the base 60 of the airfoil 82, or a combination thereof. Additionally, the airfoil 82 may include a second pressure portion (e.g., 80) of the nominal airfoil profile substantially in accordance with the Cartesian coordinate values of X, Y, and Z of the pressure side 64 as set forth in TABLE I, wherein the first and second pressure portions (e.g., 80, 102, 104, 106) are offset from one another along the Z axis 74.


Technical effects of the disclosed embodiments include an airfoil having a first suction portion of a nominal airfoil profile substantially in accordance with Cartesian coordinate values of X, Y, and Z of a suction side as set forth in TABLE I, wherein the X and Y values of the suction side are coordinate values that couple together to define suction side sections of the first suction portion of the nominal airfoil profile at each Z coordinate value, the suction side sections of the first suction portion of the nominal airfoil profile are coupled together to define the first suction portion, the airfoil includes an airfoil length along a Z axis, the first suction portion comprises a first portion length along the Z axis, the first portion length is less than or equal to the airfoil length, and the Cartesian coordinate values of X, Y, and Z are non-dimensional values convertible to dimensional distances (e.g., instances in inches or mm).


This written description uses examples to disclose the subject matter, including the best mode, and also to enable any person skilled in the art to practice the subject matter, including making and using any devices or systems and performing any incorporated methods. The patentable scope of the subject matter 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 have 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.

Claims
  • 1. A system comprising: an airfoil comprising a first suction portion of a nominal airfoil profile substantially in accordance with Cartesian coordinate values of X, Y, and Z of a suction side as set forth in TABLE I to a maximum of three decimal places, wherein the X and Y values of the suction side are coordinate values that couple together to define suction side sections of the first suction portion of the nominal airfoil profile at each Z coordinate value, the suction side sections of the first suction portion of the nominal airfoil profile are coupled together to define the first suction portion, the airfoil comprises an airfoil length along a Z axis, the first suction portion comprises a first portion length along the Z axis, the first portion length is less than or equal to the airfoil length, and the Cartesian coordinate values of X, Y, and Z are non-dimensional values convertible to dimensional distances.
  • 2. The system of claim 1, wherein the airfoil comprises a second suction portion of the nominal airfoil profile substantially in accordance with the Cartesian coordinate values of X, Y, and Z of the suction side as set forth in TABLE I to the maximum of three decimal places, wherein the X and Y values of the suction side are coordinate values that couple together to define suction side sections of the second suction portion of the nominal airfoil profile at each Z coordinate value, the suction side sections of the second suction portion of the nominal airfoil profile are coupled together to define the second suction portion, the second suction portion comprises a second portion length along the Z axis, the second portion length is less than or equal to the airfoil length, and the first and second suction portions are offset from one another along the Z axis.
  • 3. The system of claim 1, wherein the airfoil comprises a first pressure portion of the nominal airfoil profile substantially in accordance with the Cartesian coordinate values of X, Y, and Z of a pressure side as set forth in TABLE I to the maximum of three decimal places, wherein the X and Y values of the pressure side are coordinate values that couple together to define pressure side sections of the first pressure portion of the nominal airfoil profile at each Z coordinate value, the pressure side sections of the first pressure portion of the nominal airfoil profile are coupled together to define the first pressure portion, the first pressure portion comprises a second portion length along the Z axis, and the second portion length is less than or equal to the airfoil length.
  • 4. The system of claim 3, wherein the first suction portion and the first pressure portion at least partially overlap with one another along the Z axis.
  • 5. The system of claim 4, wherein the first and second portion lengths are substantially the same, and the first and second portion lengths start at a common distance relative to a base of the airfoil and extend toward a tip of the airfoil.
  • 6. The system of claim 1, wherein the first portion length of the first suction portion starts at a distance relative to a base of the airfoil and extends toward a tip of the airfoil.
  • 7. The system of claim 1, wherein the first portion length includes greater than or equal to two consecutive Cartesian coordinate values of Z in TABLE I.
  • 8. The system of claim 1, wherein the first portion length is equal to or greater than approximately 10 percent of the airfoil length.
  • 9. The system of claim 1, wherein the first portion length is equal to or greater than approximately 25 percent of the airfoil length.
  • 10. The system of claim 1, wherein the first portion length is equal to or greater than approximately 50 percent of the airfoil length.
  • 11. The system of claim 1, wherein the first portion length is equal to or greater than approximately 75 percent of the airfoil length.
  • 12. The system of claim 1, wherein the first portion length is equal to approximately 100 percent of the airfoil length.
  • 13. The system of claim 1, wherein the airfoil comprises the nominal airfoil profile substantially in accordance with Cartesian coordinate values of X, Y, and Z as set forth in TABLE I to the maximum of three decimal places along an entirety of both the suction side and a pressure side of the airfoil.
  • 14. The system of claim 1, wherein the airfoil comprises a coating disposed over the first suction portion of the nominal airfoil profile substantially in accordance with the Cartesian coordinate values of X, Y, and Z of the suction side as set forth in TABLE I to the maximum of three decimal places.
  • 15. The system of claim 14, wherein the coating increases the X and Y values of the suction side in TABLE I to the maximum of three decimal places by no greater than approximately 3.5 mm along the first suction portion.
  • 16. The system of claim 1, comprising a plurality of compressor airfoils of a compressor stage, wherein each of the plurality of compressor airfoils comprises the airfoil having the first suction portion of the nominal airfoil profile substantially in accordance with the Cartesian coordinate values of X, Y, and Z of the suction side as set forth in TABLE I to the maximum of three decimal places.
  • 17. The system of claim 1, comprising a compressor having the airfoil.
  • 18. The system of claim 17, comprising a gas turbine engine having the compressor, a combustor, and a turbine.
  • 19. The system of claim 1, wherein the airfoil is a second stage compressor airfoil.
  • 20. The system of claim 19, wherein the airfoil is a compressor rotor blade.
  • 21. The system of claim 1, wherein the airfoil comprises the first suction portion of the nominal airfoil profile substantially in accordance with Cartesian coordinate values of X, Y, and Z of the suction side as set forth in TABLE I to a maximum of four decimal places.
  • 22. The system of claim 1, wherein the airfoil comprises the first suction portion of the nominal airfoil profile substantially in accordance with Cartesian coordinate values of X, Y, and Z of the suction side as set forth in TABLE I to a maximum of five decimal places.
  • 23. A system comprising: an airfoil comprising a suction side of a nominal airfoil profile substantially in accordance with Cartesian coordinate values of X, Y, and Z of the suction side as set forth in TABLE I to a maximum of three decimal places, wherein the X and Y values of the suction side are coordinate values that couple together to define suction side sections of the suction side of the nominal airfoil profile at each Z coordinate value, the suction side sections of the suction side of the nominal airfoil profile are coupled together to define the suction side, and the Cartesian coordinate values of X, Y, and Z are non-dimensional values convertible to dimensional distances.
  • 24. A system comprising: an airfoil comprising a nominal airfoil profile substantially in accordance with Cartesian coordinate values of X, Y, and Z as set forth in TABLE I to a maximum of three decimal places, wherein the X and Y values are coordinate values that couple together to define airfoil sections of the nominal airfoil profile at each Z coordinate value, the airfoil sections of the nominal airfoil profile are coupled together to define an entirety of the airfoil, and the Cartesian coordinate values of X, Y, and Z are non-dimensional values convertible to dimensional distances.