AIRFOIL SHAPE FOR A COMPRESSOR

Information

  • Patent Application
  • 20170067352
  • Publication Number
    20170067352
  • Date Filed
    September 04, 2015
    9 years ago
  • Date Published
    March 09, 2017
    7 years ago
Abstract
An article of manufacture having a nominal airfoil profile substantially in accordance with Cartesian coordinate values of X, Y, and Z set forth in a scalable TABLE 1, wherein the Cartesian coordinate values of X, Y, and Z are non-dimensional values convertible to dimensional distances by multiplying the Cartesian coordinate values of X, Y, and Z by a number, and wherein X and Y are coordinates which, when connected by continuing arcs, define airfoil profile sections at each Z height, the airfoil profile sections at each Z height being joined with one another to form a complete airfoil shape.
Description
TECHNICAL FIELD

The present application and the resultant patent relate generally to gas turbine engines and more particularly relates to an airfoil profile or airfoil shape for use in a compressor.


BACKGROUND OF THE INVENTION

In a gas turbine engine, many system requirements should be met at each stage of the flow path therethrough to meet design goals. These design goals include, but are not limited to, overall improved efficiency, a reduction in vibratory response, improved airfoil loading capability, and the like. For example, a compressor airfoil profile should achieve thermal and mechanical operating requirements for a particular stage in the compressor. Moreover, component lifetime, reliability, and cost targets also should be met.


SUMMARY OF THE INVENTION

According to one aspect of the present application, an article of manufacture is provided with a nominal airfoil profile substantially in accordance with the Cartesian coordinate values of X, Y, and Z set forth in scalable TABLE 1, wherein the Cartesian coordinate values of X, Y, and Z are non-dimensional values convertible to dimensional distances by multiplying the Cartesian coordinate values of X, Y, and Z by a number, and wherein X and Y are coordinates which, when connected by continuing arcs, define airfoil profile sections at each Z height, the airfoil profile sections at each Z height being joined with one another to form a complete airfoil shape.


According to another aspect of the present application, an article of manufacture is provided with a suction-side nominal airfoil profile substantially in accordance with the suction-side Cartesian coordinate values of X, Y, and Z set forth in scalable TABLE 1, wherein the Cartesian coordinate values of X, Y, and Z are non-dimensional values convertible to dimensional distances by multiplying the Cartesian coordinate values of X, Y, and Z by a number, and wherein X and Y are coordinates which, when connected by continuing arcs, define airfoil profile sections at each Z height, the airfoil profile sections at each Z height being joined smoothly with one another to form a complete suction-side airfoil shape, the X, Y, and Z coordinate values being scalable as a function of the number to provide at least one of a non-scaled, scaled-up, and scaled-down airfoil profile.


According to yet another aspect of the present application, a compressor is provided with a number of inlet guide vanes, each of the inlet guide vanes including an airfoil having a suction-side airfoil shape, the airfoil having a nominal profile substantially in accordance with the suction-side Cartesian coordinate values of X, Y, and Z set forth in scalable TABLE 1, wherein the Cartesian coordinate values of X, Y and Z are non-dimensional values convertible to dimensional distances by multiplying the Cartesian coordinate values of X, Y, and Z by a number, and wherein X and Y are coordinates which, when connected by continuing arcs, define airfoil profile sections at each Z height, the airfoil profile sections at each Z height being joined with one another to form a complete suction-side airfoil shape.


These and other features and improvements of the present application and the resultant patent will become apparent to one of ordinary skill in the art upon review of the following detailed description when taken in conjunction with the several drawings and the appended claims.





BRIEF DESCRIPTION OF THE DRAWINGS


FIG. 1 is a schematic diagram of a gas turbine engine including a compressor, a combustor, a turbine, and a load.



FIG. 2 is a schematic diagram of a compressor with multiple stages and a flow path therethrough.



FIG. 3 is a perspective view of an inlet guide vane airfoil as may be described herein.



FIG. 4 is a cross-sectional view of the inlet guide vane airfoil taken along line 4-4 of FIG. 3.





DETAILED DESCRIPTION

Referring now to the drawings, in which like numerals refer to like elements throughout the several views, FIG. 1 shows a schematic view of gas turbine engine 10 as may be used herein. The gas turbine engine 10 may include a compressor 15. The compressor 15 compresses an incoming flow of air 20. The compressor 15 delivers the compressed flow of air 20 to a combustor 25. The combustor 25 mixes the compressed flow of air 20 with a pressurized flow of fuel 30 and ignites the mixture to create a flow of combustion gases 35. Although only a single combustor 25 is shown, the gas turbine engine 10 may include any number of the combustors 25 arranged in a circumferential array or otherwise. The flow of combustion gases 35 is delivered in turn to a turbine 40. The flow of combustion gases 35 drives the turbine 40 so as to produce mechanical work. The mechanical work produced in the turbine 40 drives the compressor 15 via a shaft 45 and an external load 50 such as an electrical generator and the like.


The gas turbine engine 10 may use natural gas, liquid fuels, various types of syngas, and/or other types of fuels and blends thereof. The gas turbine engine 10 may be any one of a number of different gas turbine engines offered by General Electric Company of Schenectady, N.Y., including, but not limited to, those such as a 7 or a 9 series heavy duty gas turbine engine and the like. The gas turbine engine 10 may have different configurations and may use other types of components. Other types of gas turbine engines also may be used herein. Multiple gas turbine engines, other types of turbines, and other types of power generation equipment also may be used herein together.



FIG. 2 shows an example of the compressor 15. The compressor 15 may include a number of compressor stages with an axial compressor flow path 55 therethrough. As one non-limiting example only, the compressor flow path 55 may include about eighteen rotor/stator stages. The exact number of rotor and stator stages, however, may be a matter of engineering design choice and may be more or less than the illustrated eighteen stages. It is to be understood that any number of rotor and stator stages may be provided herein.


Each stage of the compressor 15 may include a number of circumferentially spaced rotor blades 60 mounted on a rotor wheel 65 and a number of circumferentially spaced stator vanes 70 attached to a static compressor case 75. Each of the rotor wheels 65 may be attached to an aft drive shaft 80, which may be connected to the turbine section of the engine. The rotor blades and stator vanes may lie in the flow path 55 of the compressor 15. The direction of airflow through the compressor flow path 55 flows generally from left to right in FIG. 2. Other components and other configurations may be used herein.


The compressor rotor blades 60 impart kinetic energy to the airflow and therefore bring about a desired pressure rise. Directly following the rotor blades 60 may be a stage of the compressor stator vanes 70. However, in some designs the stator vanes may precede the rotor blades. Both the rotor blades and stator vanes turn the airflow, slow the airflow velocity (in the respective airfoil frame of reference), and yield a rise in the static pressure of the airflow. Typically, multiple rows of rotor/stator stages are arranged in axial flow compressors to achieve a desired discharge to inlet pressure ratio. Each rotor blade and stator vane includes an airfoil, and these airfoils can be secured to rotor wheels or a stator case by an appropriate attachment configuration, often known as a “root,” “base” or “dovetail”. In addition, the compressor 15 also may include inlet guide vanes (IGV's) 85, variable stator vanes (VSV's) 90, and exit or exhaust guide vanes (EGV's) 95. All of these blades and vanes have airfoils that act on the medium (e.g., air) passing through the compressor flow path 55. Other components and other configurations may be used herein.


The rotor blades 60 and stator vanes 70 are merely exemplary of the stages of the compressor 15 described herein. In addition, each rotor blade 60, stator vane 70, inlet guide vane 85, variable stator vane 90, and exit guide vane 95 may be considered an article of manufacture. Further, the article of manufacture may include an inlet guide vane configured for use with a compressor 15.



FIG. 3 shows an example of an inlet guide vane 100 as may be described herein. In this example, the inlet guide vane 100 includes an airfoil 105. Each of the inlet guide vanes 100 may have an airfoil profile at any cross-section from an airfoil root 110 to an airfoil tip 120. Examples of the compressor 15 may include a variety of blades 60 and vanes 70, 85, 90, 95 arranged in multiple stages.


Referring to FIG. 4, the airfoil 105 may have a suction side 140 and a pressure side 150. The suction side 140 may be located on the opposing side of the airfoil 105 from the pressure side 150. Thus, each inlet guide vane 100 may have an airfoil profile at any cross-section in the shape of the airfoil 105. The airfoil 105 also may include a leading edge 160 and a trailing edge 170 and with a chord length 180 extending therebetween. The root 110 of the airfoil 105 corresponds to the lowest non-dimensional Z value of scalable TABLE 1. The tip 120 of the airfoil 105 corresponds to the highest non-dimensional Z value of scalable TABLE 1. An airfoil 105 may extend beyond the compressor flowpath and may be tipped to achieve the desired endwall clearances. By way of example only, the airfoil may have a height from about one (1) inch to about fifty (50) inches (about 2.54 centimeters to about 127 centimeters) or more. Any specific airfoil height may be used herein as desired in a specific application. Other components and other configurations may be used herein.


The compressor flow path 55 requires airfoils 105 that meet system requirements of aerodynamic and mechanical blade/vane loading and efficiency. For example, it is desirable that the airfoils 105 are designed to reduce the vibratory response or vibratory stress response of the respective blades and/or vanes. Materials such as high strength alloys, non-corrosive alloys, and/or stainless steels may be used in the blades and/or vanes. To define the airfoil shape of each blade airfoil and/or vane airfoil, there is a unique set or loci of points in space that meet the stage requirements and can be manufactured. These unique loci of points meet the requirements for stage efficiency and may be arrived at by iteration between aerodynamic and mechanical loadings so as to enable the turbine and compressor to run in an efficient, safe, reliable, and smooth manner. These points are unique and specific to the system. The locus that defines the airfoil profile includes a set of points with X, Y, and Z coordinates relative to a reference origin coordinate system. The three-dimensional Cartesian coordinate system of X, Y, and Z values given in scalable TABLE 1 below defines the profile of the airfoil at various locations along its length. The scalable TABLE 1 lists data for a non-coated airfoil. The envelope/tolerance for the coordinates may be about +/−5% of the chord length 180 in a direction normal to any airfoil surface location or about +/−0.25 inches (about 6.36 millimeters) in a direction normal to any airfoil surface location. However, tolerances of about +/−0.15 inches to about +/−0.25 inches (about 6.36 millimeters), or about +/−3% to about +/−5% in a direction normal to an airfoil surface location may also be used, as desired in the specific application.


A point data origin 190 may be the mid-point of the suction or pressure side of the base or tip of the airfoil, the leading edge or trailing edge of the base of the airfoil, or any other suitable location as desired. The coordinate values for the X, Y, and Z coordinates are set forth in non-dimensionalized units in scalable TABLE 1, although other units of dimensions may be used when the values are appropriately converted. As one example only, the Cartesian coordinate values of X, Y, and Z may be convertible to dimensional distances by multiplying the X, Y, and Z values by a 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.), a mixed number (e.g., 1½, 10¼, etc.), and the like. The dimensional distances may be in any suitable format (e.g., inches, feet, millimeters, centimeters, meters, etc.) As one non-limiting example only, the Cartesian coordinate system has orthogonally-related X, Y, and Z axes and the X axis may lie generally parallel to the compressor rotor centerline, i.e., the rotary axis and a positive X coordinate value is axial toward the aft, i.e., exhaust end of the turbine. The positive Y coordinate value extends tangentially in the direction of rotation of the rotor and the positive Z coordinate value is radially outwardly toward the rotor blade tip, inlet guide vane, or stator vane base. All the values in scalable TABLE 1 are given at room temperature and are unfilleted.


By defining X and Y coordinate values at selected locations in a Z direction (or height) normal to the X, Y plane, the profile section or airfoil shape of the airfoil, at each Z height along the length of the airfoil may be ascertained. By connecting the X and Y values with smooth continuing arcs, each profile section at each Z height may be fixed. The airfoil profiles of the various surface locations between each Z height may be determined by smoothly connecting the adjacent profile sections to one another to form the airfoil profile.


The values in TABLE 1 may be generated and shown from zero to four or more decimal places for determining the profile of the airfoil. As the airfoil heats up the associated stress and temperature may cause a change in the X, Y, and Z values. Accordingly, the values for the profile given in TABLE 1 represent ambient, non-operating or non-hot conditions (e.g., room temperature) and may be for an uncoated airfoil.


There are typical manufacturing tolerances as well as optional coatings which may be accounted for in the actual profile of the airfoil. Each section may be joined smoothly with the other sections to form the complete airfoil shape. It will therefore be appreciated that +/− typical manufacturing tolerances, i.e., +/− values, including any coating thicknesses, are additive to the X and Y values given in TABLE 1 below. Accordingly, a distance of about +/−5% of chord length and/or +/−0.25 inches (about 6.36 millimeters) in a direction normal to a surface location along the airfoil profile defines an airfoil profile envelope for this particular airfoil design and compressor, i.e., a range of variation between measured points on the actual airfoil surface at nominal cold or room temperature and the ideal position of those points as given in the TABLE 1 below at the same temperature. Additionally, a distance of about +/−5% of a chord length in a direction normal to an airfoil surface location along the airfoil profile also may define an airfoil profile envelope for this particular airfoil design. The data is scalable and the geometry pertains to all aerodynamic scales, at, above and/or below about 3,000 RPM. The inlet guide vane airfoil design is robust to this range of variation without impairment of mechanical and aerodynamic functions.


The coordinate values given in scalable TABLE 1 below provide the nominal profile for exemplary stages of an inlet guide vane. Specifically, an inlet guide vane of, for example, a 9HA.01 compressor and the like:










TABLE 1







SUCTION SIDE
PRESSURE SIDE












X
Y
Z
X
Y
Z















4.2398
−1.4281
−1.1785
−3.7567
0.0615
−1.1785


4.2461
−1.4164
−1.1785
−3.7563
0.0598
−1.1785


4.2518
−1.3998
−1.1785
−3.7556
0.0566
−1.1785


4.2544
−1.3781
−1.1785
−3.7537
0.0501
−1.1785


4.2507
−1.3520
−1.1785
−3.7486
0.0379
−1.1785


4.2347
−1.3209
−1.1785
−3.7373
0.0203
−1.1785


4.1997
−1.2920
−1.1785
−3.7105
−0.0059
−1.1785


4.1523
−1.2607
−1.1785
−3.6676
−0.0310
−1.1785


4.0947
−1.2227
−1.1785
−3.6048
−0.0522
−1.1785


4.0260
−1.1777
−1.1785
−3.5237
−0.0662
−1.1785


3.9455
−1.1252
−1.1785
−3.4165
−0.0752
−1.1785


3.8502
−1.0635
−1.1785
−3.2927
−0.0825
−1.1785


3.7399
−0.9926
−1.1785
−3.1604
−0.0878
−1.1785


3.6146
−0.9131
−1.1785
−3.0116
−0.0922
−1.1785


3.4736
−0.8256
−1.1785
−2.8462
−0.0960
−1.1785


3.3170
−0.7305
−1.1785
−2.6644
−0.0997
−1.1785


3.1443
−0.6286
−1.1785
−2.4742
−0.1036
−1.1785


2.9627
−0.5248
−1.1785
−2.2757
−0.1079
−1.1785


2.7719
−0.4197
−1.1785
−2.0691
−0.1130
−1.1785


2.5715
−0.3141
−1.1785
−1.8542
−0.1194
−1.1785


2.3612
−0.2087
−1.1785
−1.6311
−0.1271
−1.1785


2.1404
−0.1043
−1.1785
−1.3998
−0.1362
−1.1785


1.9088
−0.0018
−1.1785
−1.1603
−0.1472
−1.1785


1.6661
0.0975
−1.1785
−0.9127
−0.1606
−1.1785


1.4216
0.1893
−1.1785
−0.6652
−0.1768
−1.1785


1.1753
0.2734
−1.1785
−0.4179
−0.1961
−1.1785


0.9272
0.3498
−1.1785
−0.1708
−0.2189
−1.1785


0.6775
0.4188
−1.1785
0.0761
−0.2458
−1.1785


0.4261
0.4802
−1.1785
0.3227
−0.2764
−1.1785


0.1729
0.5340
−1.1785
0.5686
−0.3112
−1.1785


−0.0820
0.5802
−1.1785
0.8138
−0.3502
−1.1785


−0.3388
0.6185
−1.1785
1.0582
−0.3933
−1.1785


−0.5972
0.6489
−1.1785
1.3019
−0.4408
−1.1785


−0.8577
0.6710
−1.1785
1.5448
−0.4927
−1.1785


−1.1200
0.6839
−1.1785
1.7867
−0.5494
−1.1785


−1.3738
0.6872
−1.1785
2.0192
−0.6088
−1.1785


−1.6185
0.6814
−1.1785
2.2423
−0.6708
−1.1785


−1.8544
0.6671
−1.1785
2.4560
−0.7352
−1.1785


−2.0811
0.6454
−1.1785
2.6606
−0.8019
−1.1785


−2.2983
0.6172
−1.1785
2.8559
−0.8705
−1.1785


−2.5057
0.5833
−1.1785
3.0420
−0.9407
−1.1785


−2.7035
0.5443
−1.1785
3.2187
−1.0120
−1.1785


−2.8912
0.5007
−1.1785
3.3785
−1.0807
−1.1785


−3.0607
0.4556
−1.1785
3.5218
−1.1459
−1.1785


−3.2116
0.4097
−1.1785
3.6489
−1.2066
−1.1785


−3.3443
0.3644
−1.1785
3.7601
−1.2623
−1.1785


−3.4669
0.3167
−1.1785
3.8556
−1.3125
−1.1785


−3.5712
0.2711
−1.1785
3.9356
−1.3561
−1.1785


−3.6477
0.2290
−1.1785
4.0036
−1.3943
−1.1785


−3.7031
0.1857
−1.1785
4.0603
−1.4270
−1.1785


−3.7366
0.1452
−1.1785
4.1068
−1.4543
−1.1785


−3.7535
0.1095
−1.1785
4.1467
−1.4701
−1.1785


−3.7579
0.0879
−1.1785
4.1797
−1.4693
−1.1785


−3.7582
0.0738
−1.1785
4.2032
−1.4611
−1.1785


−3.7575
0.0667
−1.1785
4.2206
−1.4497
−1.1785


−3.7571
0.0632
−1.1785
4.2324
−1.4381
−1.1785


4.1532
−1.3775
0.0000
−3.7111
0.0761
0.0000


4.1591
−1.3660
0.0000
−3.7108
0.0746
0.0000


4.1642
−1.3496
0.0000
−3.7101
0.0713
0.0000


4.1662
−1.3282
0.0000
−3.7081
0.0651
0.0000


4.1617
−1.3028
0.0000
−3.7031
0.0530
0.0000


4.1453
−1.2727
0.0000
−3.6922
0.0356
0.0000


4.1104
−1.2452
0.0000
−3.6659
0.0099
0.0000


4.0633
−1.2154
0.0000
−3.6238
−0.0149
0.0000


4.0061
−1.1793
0.0000
−3.5622
−0.0360
0.0000


3.9378
−1.1365
0.0000
−3.4827
−0.0503
0.0000


3.8579
−1.0866
0.0000
−3.3776
−0.0602
0.0000


3.7633
−1.0277
0.0000
−3.2560
−0.0684
0.0000


3.6541
−0.9601
0.0000
−3.1263
−0.0749
0.0000


3.5298
−0.8842
0.0000
−2.9802
−0.0804
0.0000


3.3903
−0.8004
0.0000
−2.8179
−0.0857
0.0000


3.2353
−0.7094
0.0000
−2.6394
−0.0912
0.0000


3.0647
−0.6115
0.0000
−2.4527
−0.0969
0.0000


2.8855
−0.5117
0.0000
−2.2579
−0.1031
0.0000


2.6974
−0.4105
0.0000
−2.0551
−0.1103
0.0000


2.5001
−0.3085
0.0000
−1.8442
−0.1187
0.0000


2.2933
−0.2067
0.0000
−1.6252
−0.1285
0.0000


2.0764
−0.1057
0.0000
−1.3983
−0.1397
0.0000


1.8490
−0.0065
0.0000
−1.1633
−0.1527
0.0000


1.6108
0.0902
0.0000
−0.9203
−0.1681
0.0000


1.3698
0.1802
0.0000
−0.6775
−0.1859
0.0000


1.1273
0.2629
0.0000
−0.4349
−0.2065
0.0000


0.8833
0.3383
0.0000
−0.1925
−0.2303
0.0000


0.6379
0.4067
0.0000
0.0497
−0.2573
0.0000


0.3910
0.4679
0.0000
0.2917
−0.2878
0.0000


0.1429
0.5219
0.0000
0.5332
−0.3219
0.0000


−0.1067
0.5687
0.0000
0.7739
−0.3597
0.0000


−0.3578
0.6079
0.0000
1.0141
−0.4013
0.0000


−0.6104
0.6396
0.0000
1.2535
−0.4468
0.0000


−0.8646
0.6632
0.0000
1.4921
−0.4963
0.0000


−1.1205
0.6781
0.0000
1.7300
−0.5502
0.0000


−1.3696
0.6835
0.0000
1.9589
−0.6066
0.0000


−1.6104
0.6798
0.0000
2.1787
−0.6654
0.0000


−1.8422
0.6676
0.0000
2.3893
−0.7263
0.0000


−2.0649
0.6478
0.0000
2.5909
−0.7892
0.0000


−2.2786
0.6213
0.0000
2.7835
−0.8539
0.0000


−2.4825
0.5889
0.0000
2.9671
−0.9200
0.0000


−2.6769
0.5512
0.0000
3.1417
−0.9873
0.0000


−2.8615
0.5087
0.0000
3.2997
−1.0521
0.0000


−3.0279
0.4644
0.0000
3.4414
−1.1137
0.0000


−3.1762
0.4194
0.0000
3.5673
−1.1711
0.0000


−3.3066
0.3746
0.0000
3.6774
−1.2235
0.0000


−3.4269
0.3275
0.0000
3.7721
−1.2708
0.0000


−3.5293
0.2824
0.0000
3.8516
−1.3120
0.0000


−3.6045
0.2409
0.0000
3.9191
−1.3480
0.0000


−3.6584
0.1984
0.0000
3.9754
−1.3789
0.0000


−3.6914
0.1584
0.0000
4.0216
−1.4047
0.0000


−3.7079
0.1234
0.0000
4.0609
−1.4203
0.0000


−3.7123
0.1022
0.0000
4.0939
−1.4196
0.0000


−3.7126
0.0883
0.0000
4.1172
−1.4112
0.0000


−3.7120
0.0813
0.0000
4.1344
−1.3997
0.0000


−3.7114
0.0779
0.0000
4.1460
−1.3878
0.0000


4.0933
−1.3427
0.8135
−3.6796
0.0866
0.8135


4.0990
−1.3313
0.8135
−3.6794
0.0849
0.8135


4.1038
−1.3150
0.8135
−3.6786
0.0818
0.8135


4.1053
−1.2939
0.8135
−3.6768
0.0755
0.8135


4.1006
−1.2689
0.8135
−3.6718
0.0636
0.8135


4.0839
−1.2395
0.8135
−3.6609
0.0465
0.8135


4.0490
−1.2130
0.8135
−3.6348
0.0211
0.8135


4.0023
−1.1843
0.8135
−3.5933
−0.0034
0.8135


3.9453
−1.1496
0.8135
−3.5325
−0.0244
0.8135


3.8775
−1.1083
0.8135
−3.4540
−0.0389
0.8135


3.7980
−1.0602
0.8135
−3.3502
−0.0495
0.8135


3.7041
−1.0033
0.8135
−3.2303
−0.0587
0.8135


3.5956
−0.9379
0.8135
−3.1022
−0.0660
0.8135


3.4722
−0.8645
0.8135
−2.9581
−0.0725
0.8135


3.3338
−0.7833
0.8135
−2.7978
−0.0789
0.8135


3.1801
−0.6950
0.8135
−2.6215
−0.0855
0.8135


3.0110
−0.6002
0.8135
−2.4371
−0.0925
0.8135


2.8334
−0.5033
0.8135
−2.2449
−0.1001
0.8135


2.6472
−0.4050
0.8135
−2.0446
−0.1087
0.8135


2.4520
−0.3060
0.8135
−1.8364
−0.1185
0.8135


2.2475
−0.2069
0.8135
−1.6203
−0.1295
0.8135


2.0333
−0.1083
0.8135
−1.3963
−0.1421
0.8135


1.8091
−0.0112
0.8135
−1.1643
−0.1565
0.8135


1.5745
0.0836
0.8135
−0.9245
−0.1731
0.8135


1.3370
0.1724
0.8135
−0.6848
−0.1920
0.8135


1.0971
0.2547
0.8135
−0.4453
−0.2134
0.8135


0.8558
0.3301
0.8135
−0.2060
−0.2377
0.8135


0.6130
0.3985
0.8135
0.0330
−0.2650
0.8135


0.3688
0.4599
0.8135
0.2717
−0.2954
0.8135


0.1230
0.5141
0.8135
0.5103
−0.3292
0.8135


−0.1244
0.5612
0.8135
0.7481
−0.3664
0.8135


−0.3731
0.6010
0.8135
0.9854
−0.4072
0.8135


−0.6236
0.6335
0.8135
1.2218
−0.4516
0.8135


−0.8756
0.6579
0.8135
1.4576
−0.4997
0.8135


−1.1292
0.6737
0.8135
1.6927
−0.5518
0.8135


−1.3746
0.6802
0.8135
1.9191
−0.6063
0.8135


−1.6114
0.6777
0.8135
2.1366
−0.6629
0.8135


−1.8397
0.6667
0.8135
2.3452
−0.7215
0.8135


−2.0593
0.6482
0.8135
2.5448
−0.7820
0.8135


−2.2695
0.6230
0.8135
2.7355
−0.8439
0.8135


−2.4704
0.5919
0.8135
2.9175
−0.9072
0.8135


−2.6619
0.5553
0.8135
3.0907
−0.9717
0.8135


−2.8437
0.5137
0.8135
3.2476
−1.0337
0.8135


−3.0075
0.4700
0.8135
3.3884
−1.0926
0.8135


−3.1535
0.4257
0.8135
3.5135
−1.1475
0.8135


−3.2817
0.3813
0.8135
3.6230
−1.1979
0.8135


−3.4001
0.3347
0.8135
3.7172
−1.2432
0.8135


−3.5007
0.2898
0.8135
3.7962
−1.2828
0.8135


−3.5746
0.2488
0.8135
3.8633
−1.3173
0.8135


−3.6278
0.2068
0.8135
3.9194
−1.3470
0.8135


−3.6603
0.1675
0.8135
3.9654
−1.3718
0.8135


−3.6766
0.1329
0.8135
4.0043
−1.3863
0.8135


−3.6808
0.1121
0.8135
4.0364
−1.3848
0.8135


−3.6811
0.0984
0.8135
4.0590
−1.3762
0.8135


−3.6805
0.0916
0.8135
4.0755
−1.3646
0.8135


−3.6800
0.0882
0.8135
4.0865
−1.3528
0.8135


4.0706
−1.3294
1.1229
−3.6676
0.0907
1.1229


4.0761
−1.3180
1.1229
−3.6672
0.0890
1.1229


4.0807
−1.3019
1.1229
−3.6665
0.0859
1.1229


4.0822
−1.2808
1.1229
−3.6646
0.0797
1.1229


4.0773
−1.2560
1.1229
−3.6596
0.0678
1.1229


4.0605
−1.2269
1.1229
−3.6489
0.0508
1.1229


4.0257
−1.2007
1.1229
−3.6229
0.0255
1.1229


3.9789
−1.1724
1.1229
−3.5815
0.0012
1.1229


3.9221
−1.1381
1.1229
−3.5210
−0.0196
1.1229


3.8544
−1.0975
1.1229
−3.4429
−0.0342
1.1229


3.7751
−1.0499
1.1229
−3.3397
−0.0452
1.1229


3.6814
−0.9939
1.1229
−3.2203
−0.0548
1.1229


3.5732
−0.9294
1.1229
−3.0929
−0.0624
1.1229


3.4501
−0.8568
1.1229
−2.9495
−0.0692
1.1229


3.3120
−0.7766
1.1229
−2.7900
−0.0760
1.1229


3.1588
−0.6894
1.1229
−2.6146
−0.0831
1.1229


2.9901
−0.5956
1.1229
−2.4312
−0.0907
1.1229


2.8131
−0.4999
1.1229
−2.2399
−0.0989
1.1229


2.6276
−0.4027
1.1229
−2.0406
−0.1080
1.1229


2.4331
−0.3048
1.1229
−1.8335
−0.1184
1.1229


2.2294
−0.2067
1.1229
−1.6184
−0.1301
1.1229


2.0162
−0.1090
1.1229
−1.3954
−0.1432
1.1229


1.7930
−0.0127
1.1229
−1.1647
−0.1581
1.1229


1.5596
0.0814
1.1229
−0.9260
−0.1751
1.1229


1.3234
0.1697
1.1229
−0.6876
−0.1945
1.1229


1.0847
0.2517
1.1229
−0.4493
−0.2162
1.1229


0.8445
0.3270
1.1229
−0.2112
−0.2407
1.1229


0.6029
0.3953
1.1229
0.0266
−0.2680
1.1229


0.3600
0.4566
1.1229
0.2643
−0.2984
1.1229


0.1155
0.5108
1.1229
0.5016
−0.3319
1.1229


−0.1303
0.5579
1.1229
0.7384
−0.3688
1.1229


−0.3777
0.5979
1.1229
0.9743
−0.4093
1.1229


−0.6265
0.6305
1.1229
1.2098
−0.4532
1.1229


−0.8767
0.6554
1.1229
1.4445
−0.5008
1.1229


−1.1288
0.6717
1.1229
1.6784
−0.5523
1.1229


−1.3731
0.6786
1.1229
1.9038
−0.6060
1.1229


−1.6088
0.6767
1.1229
2.1204
−0.6619
1.1229


−1.8359
0.6663
1.1229
2.3281
−0.7196
1.1229


−2.0545
0.6484
1.1229
2.5269
−0.7790
1.1229


−2.2638
0.6238
1.1229
2.7170
−0.8400
1.1229


−2.4639
0.5931
1.1229
2.8983
−0.9023
1.1229


−2.6545
0.5570
1.1229
3.0709
−0.9656
1.1229


−2.8354
0.5158
1.1229
3.2273
−1.0265
1.1229


−2.9984
0.4725
1.1229
3.3678
−1.0843
1.1229


−3.1438
0.4285
1.1229
3.4925
−1.1383
1.1229


−3.2714
0.3843
1.1229
3.6017
−1.1878
1.1229


−3.3891
0.3377
1.1229
3.6957
−1.2324
1.1229


−3.4892
0.2929
1.1229
3.7745
−1.2713
1.1229


−3.5627
0.2521
1.1229
3.8415
−1.3054
1.1229


−3.6158
0.2103
1.1229
3.8976
−1.3346
1.1229


−3.6481
0.1712
1.1229
3.9434
−1.3590
1.1229


−3.6643
0.1369
1.1229
3.9822
−1.3732
1.1229


−3.6687
0.1161
1.1229
4.0142
−1.3715
1.1229


−3.6689
0.1025
1.1229
4.0366
−1.3630
1.1229


−3.6684
0.0958
1.1229
4.0529
−1.3514
1.1229


−3.6678
0.0924
1.1229
4.0638
−1.3396
1.1229


4.0335
−1.3075
1.6270
−3.6477
0.0978
1.6270


4.0389
−1.2961
1.6270
−3.6473
0.0962
1.6270


4.0434
−1.2800
1.6270
−3.6465
0.0931
1.6270


4.0446
−1.2592
1.6270
−3.6448
0.0869
1.6270


4.0395
−1.2347
1.6270
−3.6398
0.0751
1.6270


4.0226
−1.2061
1.6270
−3.6289
0.0583
1.6270


3.9876
−1.1805
1.6270
−3.6031
0.0333
1.6270


3.9410
−1.1528
1.6270
−3.5620
0.0092
1.6270


3.8843
−1.1192
1.6270
−3.5021
−0.0114
1.6270


3.8167
−1.0795
1.6270
−3.4247
−0.0263
1.6270


3.7376
−1.0330
1.6270
−3.3223
−0.0376
1.6270


3.6442
−0.9781
1.6270
−3.2040
−0.0477
1.6270


3.5362
−0.9149
1.6270
−3.0776
−0.0560
1.6270


3.4135
−0.8438
1.6270
−2.9353
−0.0634
1.6270


3.2760
−0.7652
1.6270
−2.7771
−0.0710
1.6270


3.1232
−0.6796
1.6270
−2.6032
−0.0790
1.6270


2.9551
−0.5875
1.6270
−2.4213
−0.0875
1.6270


2.7786
−0.4933
1.6270
−2.2315
−0.0966
1.6270


2.5933
−0.3978
1.6270
−2.0339
−0.1067
1.6270


2.3991
−0.3013
1.6270
−1.8284
−0.1181
1.6270


2.1959
−0.2046
1.6270
−1.6151
−0.1308
1.6270


1.9838
−0.1085
1.6270
−1.3940
−0.1449
1.6270


1.7626
−0.0137
1.6270
−1.1651
−0.1607
1.6270


1.5319
0.0788
1.6270
−0.9284
−0.1786
1.6270


1.2995
0.1656
1.6270
−0.6919
−0.1986
1.6270


1.0649
0.2462
1.6270
−0.4556
−0.2210
1.6270


0.8283
0.3206
1.6270
−0.2194
−0.2457
1.6270


0.5896
0.3884
1.6270
0.0165
−0.2730
1.6270


0.3487
0.4497
1.6270
0.2522
−0.3032
1.6270


0.1056
0.5042
1.6270
0.4876
−0.3363
1.6270


−0.1397
0.5518
1.6270
0.7225
−0.3726
1.6270


−0.3872
0.5924
1.6270
0.9567
−0.4123
1.6270


−0.6357
0.6258
1.6270
1.1902
−0.4555
1.6270


−0.8847
0.6513
1.6270
1.4232
−0.5022
1.6270


−1.1346
0.6681
1.6270
1.6554
−0.5526
1.6270


−1.3770
0.6758
1.6270
1.8791
−0.6053
1.6270


−1.6109
0.6745
1.6270
2.0941
−0.6598
1.6270


−1.8355
0.6649
1.6270
2.3004
−0.7162
1.6270


−2.0507
0.6479
1.6270
2.4979
−0.7742
1.6270


−2.2568
0.6244
1.6270
2.6868
−0.8335
1.6270


−2.4536
0.5949
1.6270
2.8671
−0.8940
1.6270


−2.6413
0.5600
1.6270
3.0387
−0.9554
1.6270


−2.8201
0.5198
1.6270
3.1944
−1.0146
1.6270


−2.9817
0.4771
1.6270
3.3342
−1.0708
1.6270


−3.1263
0.4334
1.6270
3.4584
−1.1231
1.6270


−3.2532
0.3895
1.6270
3.5672
−1.1712
1.6270


−3.3702
0.3431
1.6270
3.6607
−1.2146
1.6270


−3.4697
0.2984
1.6270
3.7393
−1.2524
1.6270


−3.5429
0.2576
1.6270
3.8061
−1.2855
1.6270


−3.5956
0.2164
1.6270
3.8620
−1.3139
1.6270


−3.6280
0.1777
1.6270
3.9077
−1.3377
1.6270


−3.6443
0.1438
1.6270
3.9462
−1.3515
1.6270


−3.6487
0.1231
1.6270
3.9779
−1.3498
1.6270


−3.6490
0.1096
1.6270
4.0001
−1.3410
1.6270


−3.6485
0.1029
1.6270
4.0162
−1.3293
1.6270


−3.6479
0.0995
1.6270
4.0270
−1.3175
1.6270


3.9741
−1.2707
2.4406
−3.6154
0.1105
2.4406


3.9791
−1.2594
2.4406
−3.6150
0.1090
2.4406


3.9833
−1.2434
2.4406
−3.6144
0.1058
2.4406


3.9840
−1.2229
2.4406
−3.6125
0.0997
2.4406


3.9785
−1.1988
2.4406
−3.6076
0.0881
2.4406


3.9612
−1.1710
2.4406
−3.5970
0.0715
2.4406


3.9262
−1.1464
2.4406
−3.5713
0.0469
2.4406


3.8799
−1.1200
2.4406
−3.5307
0.0233
2.4406


3.8233
−1.0879
2.4406
−3.4714
0.0029
2.4406


3.7562
−1.0497
2.4406
−3.3950
−0.0121
2.4406


3.6775
−1.0051
2.4406
−3.2941
−0.0241
2.4406


3.5845
−0.9524
2.4406
−3.1774
−0.0351
2.4406


3.4773
−0.8915
2.4406
−3.0527
−0.0442
2.4406


3.3555
−0.8229
2.4406
−2.9123
−0.0528
2.4406


3.2190
−0.7471
2.4406
−2.7563
−0.0615
2.4406


3.0675
−0.6643
2.4406
−2.5845
−0.0710
2.4406


2.9008
−0.5754
2.4406
−2.4052
−0.0810
2.4406


2.7258
−0.4844
2.4406
−2.2179
−0.0918
2.4406


2.5423
−0.3920
2.4406
−2.0230
−0.1038
2.4406


2.3500
−0.2986
2.4406
−1.8203
−0.1169
2.4406


2.1489
−0.2047
2.4406
−1.6098
−0.1313
2.4406


1.9391
−0.1112
2.4406
−1.3917
−0.1470
2.4406


1.7204
−0.0186
2.4406
−1.1659
−0.1644
2.4406


1.4926
0.0721
2.4406
−0.9324
−0.1837
2.4406


1.2630
0.1574
2.4406
−0.6990
−0.2049
2.4406


1.0316
0.2369
2.4406
−0.4659
−0.2281
2.4406


0.7982
0.3105
2.4406
−0.2329
−0.2533
2.4406


0.5629
0.3778
2.4406
−0.0002
−0.2808
2.4406


0.3255
0.4389
2.4406
0.2324
−0.3106
2.4406


0.0861
0.4934
2.4406
0.4647
−0.3429
2.4406


−0.1554
0.5414
2.4406
0.6967
−0.3782
2.4406


−0.3991
0.5826
2.4406
0.9281
−0.4167
2.4406


−0.6439
0.6167
2.4406
1.1587
−0.4584
2.4406


−0.8894
0.6432
2.4406
1.3887
−0.5037
2.4406


−1.1356
0.6614
2.4406
1.6180
−0.5525
2.4406


−1.3743
0.6704
2.4406
1.8389
−0.6033
2.4406


−1.6051
0.6707
2.4406
2.0515
−0.6560
2.4406


−1.8266
0.6628
2.4406
2.2556
−0.7102
2.4406


−2.0390
0.6476
2.4406
2.4512
−0.7658
2.4406


−2.2424
0.6258
2.4406
2.6382
−0.8226
2.4406


−2.4366
0.5979
2.4406
2.8168
−0.8803
2.4406


−2.6220
0.5644
2.4406
2.9869
−0.9388
2.4406


−2.7983
0.5255
2.4406
3.1414
−0.9951
2.4406


−2.9580
0.4839
2.4406
3.2801
−1.0484
2.4406


−3.1006
0.4411
2.4406
3.4036
−1.0981
2.4406


−3.2257
0.3979
2.4406
3.5117
−1.1439
2.4406


−3.3411
0.3520
2.4406
3.6047
−1.1851
2.4406


−3.4391
0.3077
2.4406
3.6830
−1.2211
2.4406


−3.5113
0.2676
2.4406
3.7494
−1.2526
2.4406


−3.5634
0.2272
2.4406
3.8050
−1.2797
2.4406


−3.5956
0.1892
2.4406
3.8505
−1.3023
2.4406


−3.6119
0.1558
2.4406
3.8889
−1.3155
2.4406


−3.6163
0.1355
2.4406
3.9200
−1.3132
2.4406


−3.6168
0.1221
2.4406
3.9418
−1.3043
2.4406


−3.6162
0.1155
2.4406
3.9575
−1.2925
2.4406


−3.6157
0.1122
2.4406
3.9678
−1.2807
2.4406


3.9150
−1.2353
3.2540
−3.5832
0.1245
3.2540


3.9198
−1.2241
3.2540
−3.5829
0.1230
3.2540


3.9235
−1.2083
3.2540
−3.5822
0.1199
3.2540


3.9238
−1.1880
3.2540
−3.5805
0.1139
3.2540


3.9178
−1.1644
3.2540
−3.5756
0.1024
3.2540


3.9001
−1.1373
3.2540
−3.5649
0.0860
3.2540


3.8652
−1.1140
3.2540
−3.5393
0.0619
3.2540


3.8189
−1.0887
3.2540
−3.4989
0.0385
3.2540


3.7627
−1.0580
3.2540
−3.4402
0.0183
3.2540


3.6959
−1.0215
3.2540
−3.3648
0.0034
3.2540


3.6176
−0.9788
3.2540
−3.2653
−0.0092
3.2540


3.5251
−0.9281
3.2540
−3.1502
−0.0210
3.2540


3.4186
−0.8695
3.2540
−3.0272
−0.0311
3.2540


3.2976
−0.8034
3.2540
−2.8887
−0.0407
3.2540


3.1622
−0.7302
3.2540
−2.7348
−0.0507
3.2540


3.0120
−0.6503
3.2540
−2.5655
−0.0615
3.2540


2.8467
−0.5642
3.2540
−2.3885
−0.0731
3.2540


2.6733
−0.4762
3.2540
−2.2038
−0.0855
3.2540


2.4916
−0.3865
3.2540
−2.0116
−0.0992
3.2540


2.3014
−0.2958
3.2540
−1.8116
−0.1141
3.2540


2.1025
−0.2045
3.2540
−1.6041
−0.1303
3.2540


1.8953
−0.1136
3.2540
−1.3891
−0.1478
3.2540


1.6795
−0.0234
3.2540
−1.1664
−0.1667
3.2540


1.4551
0.0652
3.2540
−0.9361
−0.1875
3.2540


1.2291
0.1487
3.2540
−0.7060
−0.2098
3.2540


1.0016
0.2269
3.2540
−0.4762
−0.2338
3.2540


0.7727
0.2995
3.2540
−0.2465
−0.2596
3.2540


0.5420
0.3661
3.2540
−0.0171
−0.2872
3.2540


0.3096
0.4267
3.2540
0.2122
−0.3169
3.2540


0.0756
0.4811
3.2540
0.4412
−0.3489
3.2540


−0.1603
0.5291
3.2540
0.6699
−0.3836
3.2540


−0.3979
0.5707
3.2540
0.8983
−0.4212
3.2540


−0.6374
0.6057
3.2540
1.1263
−0.4618
3.2540


−0.8789
0.6337
3.2540
1.3538
−0.5057
3.2540


−1.1225
0.6537
3.2540
1.5805
−0.5529
3.2540


−1.3585
0.6649
3.2540
1.7989
−0.6018
3.2540


−1.5866
0.6673
3.2540
2.0090
−0.6525
3.2540


−1.8065
0.6616
3.2540
2.2108
−0.7045
3.2540


−2.0182
0.6483
3.2540
2.4042
−0.7579
3.2540


−2.2211
0.6282
3.2540
2.5896
−0.8123
3.2540


−2.4150
0.6018
3.2540
2.7666
−0.8674
3.2540


−2.5999
0.5697
3.2540
2.9353
−0.9232
3.2540


−2.7754
0.5320
3.2540
3.0885
−0.9766
3.2540


−2.9335
0.4915
3.2540
3.2263
−1.0273
3.2540


−3.0743
0.4497
3.2540
3.3489
−1.0745
3.2540


−3.1979
0.4073
3.2540
3.4564
−1.1179
3.2540


−3.3117
0.3622
3.2540
3.5489
−1.1570
3.2540


−3.4084
0.3184
3.2540
3.6267
−1.1912
3.2540


−3.4796
0.2790
3.2540
3.6929
−1.2212
3.2540


−3.5314
0.2391
3.2540
3.7483
−1.2469
3.2540


−3.5633
0.2020
3.2540
3.7938
−1.2684
3.2540


−3.5796
0.1692
3.2540
3.8316
−1.2808
3.2540


−3.5841
0.1491
3.2540
3.8623
−1.2782
3.2540


−3.5846
0.1360
3.2540
3.8836
−1.2690
3.2540


−3.5841
0.1294
3.2540
3.8988
−1.2572
3.2540


−3.5836
0.1262
3.2540
3.9089
−1.2454
3.2540


3.8558
−1.2030
4.0675
−3.5511
0.1395
4.0675


3.8603
−1.1919
4.0675
−3.5509
0.1379
4.0675


3.8637
−1.1763
4.0675
−3.5501
0.1349
4.0675


3.8636
−1.1563
4.0675
−3.5484
0.1290
4.0675


3.8573
−1.1332
4.0675
−3.5436
0.1176
4.0675


3.8392
−1.1069
4.0675
−3.5329
0.1014
4.0675


3.8043
−1.0845
4.0675
−3.5075
0.0777
4.0675


3.7583
−1.0603
4.0675
−3.4674
0.0549
4.0675


3.7024
−1.0309
4.0675
−3.4096
0.0351
4.0675


3.6359
−0.9960
4.0675
−3.3351
0.0201
4.0675


3.5581
−0.9550
4.0675
−3.2370
0.0069
4.0675


3.4664
−0.9062
4.0675
−3.1234
−0.0056
4.0675


3.3606
−0.8499
4.0675
−3.0021
−0.0164
4.0675


3.2407
−0.7861
4.0675
−2.8655
−0.0271
4.0675


3.1064
−0.7153
4.0675
−2.7137
−0.0383
4.0675


2.9575
−0.6379
4.0675
−2.5466
−0.0504
4.0675


2.7938
−0.5543
4.0675
−2.3720
−0.0634
4.0675


2.6222
−0.4686
4.0675
−2.1898
−0.0775
4.0675


2.4425
−0.3813
4.0675
−2.0001
−0.0928
4.0675


2.2544
−0.2929
4.0675
−1.8029
−0.1094
4.0675


2.0581
−0.2040
4.0675
−1.5983
−0.1275
4.0675


1.8536
−0.1152
4.0675
−1.3861
−0.1468
4.0675


1.6406
−0.0272
4.0675
−1.1664
−0.1675
4.0675


1.4191
0.0595
4.0675
−0.9393
−0.1899
4.0675


1.1962
0.1413
4.0675
−0.7123
−0.2133
4.0675


0.9719
0.2182
4.0675
−0.4854
−0.2382
4.0675


0.7462
0.2897
4.0675
−0.2587
−0.2646
4.0675


0.5190
0.3556
4.0675
−0.0324
−0.2929
4.0675


0.2900
0.4157
4.0675
0.1939
−0.3229
4.0675


0.0595
0.4699
4.0675
0.4199
−0.3550
4.0675


−0.1727
0.5181
4.0675
0.6456
−0.3895
4.0675


−0.4067
0.5602
4.0675
0.8710
−0.4265
4.0675


−0.6424
0.5959
4.0675
1.0961
−0.4662
4.0675


−0.8800
0.6249
4.0675
1.3208
−0.5088
4.0675


−1.1197
0.6463
4.0675
1.5448
−0.5544
4.0675


−1.3527
0.6591
4.0675
1.7606
−0.6015
4.0675


−1.5778
0.6634
4.0675
1.9683
−0.6501
4.0675


−1.7947
0.6595
4.0675
2.1678
−0.6999
4.0675


−2.0038
0.6479
4.0675
2.3593
−0.7510
4.0675


−2.2041
0.6296
4.0675
2.5426
−0.8030
4.0675


−2.3957
0.6049
4.0675
2.7178
−0.8557
4.0675


−2.5784
0.5743
4.0675
2.8849
−0.9089
4.0675


−2.7518
0.5381
4.0675
3.0367
−0.9599
4.0675


−2.9081
0.4991
4.0675
3.1733
−1.0081
4.0675


−3.0472
0.4584
4.0675
3.2950
−1.0530
4.0675


−3.1693
0.4171
4.0675
3.4016
−1.0943
4.0675


−3.2817
0.3728
4.0675
3.4935
−1.1314
4.0675


−3.3772
0.3297
4.0675
3.5709
−1.1640
4.0675


−3.4477
0.2911
4.0675
3.6367
−1.1924
4.0675


−3.4991
0.2521
4.0675
3.6918
−1.2169
4.0675


−3.5309
0.2157
4.0675
3.7370
−1.2373
4.0675


−3.5473
0.1834
4.0675
3.7745
−1.2491
4.0675


−3.5519
0.1637
4.0675
3.8045
−1.2461
4.0675


−3.5524
0.1507
4.0675
3.8254
−1.2368
4.0675


−3.5519
0.1443
4.0675
3.8403
−1.2248
4.0675


−3.5514
0.1410
4.0675
3.8500
−1.2131
4.0675


3.7963
−1.1721
4.8810
−3.5190
0.1545
4.8810


3.8006
−1.1610
4.8810
−3.5187
0.1529
4.8810


3.8036
−1.1455
4.8810
−3.5180
0.1500
4.8810


3.8033
−1.1258
4.8810
−3.5162
0.1441
4.8810


3.7964
−1.1030
4.8810
−3.5114
0.1329
4.8810


3.7780
−1.0776
4.8810
−3.5008
0.1170
4.8810


3.7430
−1.0563
4.8810
−3.4757
0.0937
4.8810


3.6973
−1.0332
4.8810
−3.4360
0.0715
4.8810


3.6418
−1.0050
4.8810
−3.3788
0.0523
4.8810


3.5758
−0.9716
4.8810
−3.3053
0.0375
4.8810


3.4987
−0.9321
4.8810
−3.2085
0.0242
4.8810


3.4076
−0.8853
4.8810
−3.0965
0.0115
4.8810


3.3027
−0.8310
4.8810
−2.9768
0.0002
4.8810


3.1839
−0.7695
4.8810
−2.8420
−0.0111
4.8810


3.0508
−0.7010
4.8810
−2.6922
−0.0231
4.8810


2.9035
−0.6261
4.8810
−2.5274
−0.0363
4.8810


2.7416
−0.5451
4.8810
−2.3551
−0.0504
4.8810


2.5721
−0.4620
4.8810
−2.1754
−0.0657
4.8810


2.3947
−0.3773
4.8810
−1.9884
−0.0824
4.8810


2.2092
−0.2914
4.8810
−1.7939
−0.1005
4.8810


2.0153
−0.2048
4.8810
−1.5920
−0.1200
4.8810


1.8130
−0.1181
4.8810
−1.3828
−0.1409
4.8810


1.6019
−0.0318
4.8810
−1.1662
−0.1633
4.8810


1.3817
0.0534
4.8810
−0.9421
−0.1873
4.8810


1.1595
0.1341
4.8810
−0.7182
−0.2121
4.8810


0.9357
0.2101
4.8810
−0.4945
−0.2381
4.8810


0.7110
0.2808
4.8810
−0.2708
−0.2656
4.8810


0.4853
0.3460
4.8810
−0.0475
−0.2947
4.8810


0.2587
0.4054
4.8810
0.1758
−0.3254
4.8810


0.0312
0.4591
4.8810
0.3988
−0.3581
4.8810


−0.1974
0.5070
4.8810
0.6215
−0.3928
4.8810


−0.4269
0.5490
4.8810
0.8439
−0.4297
4.8810


−0.6574
0.5849
4.8810
1.0661
−0.4689
4.8810


−0.8891
0.6142
4.8810
1.2878
−0.5106
4.8810


−1.1218
0.6364
4.8810
1.5090
−0.5548
4.8810


−1.3481
0.6504
4.8810
1.7223
−0.6003
4.8810


−1.5679
0.6563
4.8810
1.9277
−0.6470
4.8810


−1.7811
0.6542
4.8810
2.1248
−0.6949
4.8810


−1.9875
0.6446
4.8810
2.3141
−0.7437
4.8810


−2.1854
0.6281
4.8810
2.4953
−0.7934
4.8810


−2.3747
0.6053
4.8810
2.6686
−0.8437
4.8810


−2.5554
0.5766
4.8810
2.8340
−0.8945
4.8810


−2.7269
0.5423
4.8810
2.9843
−0.9431
4.8810


−2.8815
0.5051
4.8810
3.1196
−0.9890
4.8810


−3.0193
0.4660
4.8810
3.2401
−1.0318
4.8810


−3.1401
0.4261
4.8810
3.3459
−1.0710
4.8810


−3.2514
0.3830
4.8810
3.4371
−1.1063
4.8810


−3.3459
0.3410
4.8810
3.5139
−1.1372
4.8810


−3.4157
0.3033
4.8810
3.5793
−1.1643
4.8810


−3.4668
0.2653
4.8810
3.6339
−1.1876
4.8810


−3.4985
0.2296
4.8810
3.6788
−1.2070
4.8810


−3.5150
0.1978
4.8810
3.7161
−1.2184
4.8810


−3.5196
0.1785
4.8810
3.7460
−1.2153
4.8810


−3.5202
0.1656
4.8810
3.7667
−1.2059
4.8810


−3.5197
0.1593
4.8810
3.7812
−1.1939
4.8810


−3.5192
0.1561
4.8810
3.7907
−1.1820
4.8810


3.6779
−1.1113
6.5081
−3.4545
0.1793
6.5081


3.6817
−1.1004
6.5081
−3.4543
0.1778
6.5081


3.6842
−1.0853
6.5081
−3.4536
0.1749
6.5081


3.6830
−1.0662
6.5081
−3.4520
0.1692
6.5081


3.6756
−1.0445
6.5081
−3.4472
0.1584
6.5081


3.6566
−1.0205
6.5081
−3.4368
0.1430
6.5081


3.6219
−1.0013
6.5081
−3.4121
0.1208
6.5081


3.5770
−0.9802
6.5081
−3.3733
0.0997
6.5081


3.5223
−0.9546
6.5081
−3.3176
0.0819
6.5081


3.4573
−0.9240
6.5081
−3.2458
0.0683
6.5081


3.3814
−0.8881
6.5081
−3.1514
0.0558
6.5081


3.2918
−0.8452
6.5081
−3.0423
0.0435
6.5081


3.1887
−0.7953
6.5081
−2.9258
0.0324
6.5081


3.0719
−0.7387
6.5081
−2.7945
0.0209
6.5081


2.9412
−0.6756
6.5081
−2.6486
0.0083
6.5081


2.7966
−0.6063
6.5081
−2.4882
−0.0059
6.5081


2.6379
−0.5311
6.5081
−2.3205
−0.0212
6.5081


2.4718
−0.4538
6.5081
−2.1457
−0.0380
6.5081


2.2982
−0.3746
6.5081
−1.9636
−0.0561
6.5081


2.1169
−0.2941
6.5081
−1.7744
−0.0759
6.5081


1.9277
−0.2128
6.5081
−1.5780
−0.0972
6.5081


1.7303
−0.1311
6.5081
−1.3744
−0.1200
6.5081


1.5246
−0.0495
6.5081
−1.1637
−0.1444
6.5081


1.3102
0.0313
6.5081
−0.9457
−0.1705
6.5081


1.0942
0.1084
6.5081
−0.7279
−0.1976
6.5081


0.8769
0.1812
6.5081
−0.5102
−0.2257
6.5081


0.6587
0.2495
6.5081
−0.2928
−0.2552
6.5081


0.4396
0.3130
6.5081
−0.0754
−0.2860
6.5081


0.2196
0.3715
6.5081
0.1418
−0.3182
6.5081


−0.0016
0.4249
6.5081
0.3588
−0.3520
6.5081


−0.2237
0.4730
6.5081
0.5755
−0.3875
6.5081


−0.4470
0.5157
6.5081
0.7919
−0.4248
6.5081


−0.6713
0.5527
6.5081
1.0081
−0.4638
6.5081


−0.8969
0.5837
6.5081
1.2238
−0.5045
6.5081


−1.1239
0.6078
6.5081
1.4392
−0.5472
6.5081


−1.3446
0.6241
6.5081
1.6469
−0.5906
6.5081


−1.5592
0.6326
6.5081
1.8471
−0.6348
6.5081


−1.7666
0.6336
6.5081
2.0396
−0.6796
6.5081


−1.9662
0.6274
6.5081
2.2245
−0.7251
6.5081


−2.1578
0.6146
6.5081
2.4017
−0.7711
6.5081


−2.3413
0.5957
6.5081
2.5713
−0.8174
6.5081


−2.5163
0.5711
6.5081
2.7331
−0.8637
6.5081


−2.6828
0.5410
6.5081
2.8804
−0.9081
6.5081


−2.8329
0.5077
6.5081
3.0132
−0.9498
6.5081


−2.9667
0.4724
6.5081
3.1315
−0.9885
6.5081


−3.0842
0.4358
6.5081
3.2355
−1.0241
6.5081


−3.1924
0.3959
6.5081
3.3252
−1.0561
6.5081


−3.2844
0.3566
6.5081
3.4007
−1.0840
6.5081


−3.3525
0.3212
6.5081
3.4650
−1.1086
6.5081


−3.4022
0.2855
6.5081
3.5191
−1.1296
6.5081


−3.4336
0.2516
6.5081
3.5633
−1.1472
6.5081


−3.4501
0.2211
6.5081
3.5996
−1.1581
6.5081


−3.4549
0.2024
6.5081
3.6292
−1.1549
6.5081


−3.4556
0.1901
6.5081
3.6494
−1.1453
6.5081


−3.4553
0.1839
6.5081
3.6636
−1.1333
6.5081


−3.4548
0.1808
6.5081
3.6726
−1.1214
6.5081


3.5595
−1.0437
8.1351
−3.3902
0.1894
8.1351


3.5628
−1.0331
8.1351
−3.3899
0.1880
8.1351


3.5647
−1.0183
8.1351
−3.3893
0.1852
8.1351


3.5629
−0.9999
8.1351
−3.3877
0.1797
8.1351


3.5550
−0.9791
8.1351
−3.3830
0.1692
8.1351


3.5357
−0.9567
8.1351
−3.3727
0.1543
8.1351


3.5013
−0.9394
8.1351
−3.3483
0.1331
8.1351


3.4570
−0.9204
8.1351
−3.3102
0.1133
8.1351


3.4033
−0.8974
8.1351
−3.2556
0.0970
8.1351


3.3394
−0.8697
8.1351
−3.1856
0.0848
8.1351


3.2648
−0.8371
8.1351
−3.0936
0.0735
8.1351


3.1768
−0.7982
8.1351
−2.9872
0.0623
8.1351


3.0754
−0.7528
8.1351
−2.8736
0.0521
8.1351


2.9606
−0.7013
8.1351
−2.7458
0.0413
8.1351


2.8322
−0.6436
8.1351
−2.6038
0.0290
8.1351


2.6904
−0.5802
8.1351
−2.4477
0.0148
8.1351


2.5347
−0.5110
8.1351
−2.2845
−0.0008
8.1351


2.3720
−0.4397
8.1351
−2.1143
−0.0180
8.1351


2.2020
−0.3664
8.1351
−1.9372
−0.0366
8.1351


2.0246
−0.2917
8.1351
−1.7530
−0.0568
8.1351


1.8399
−0.2157
8.1351
−1.5619
−0.0784
8.1351


1.6476
−0.1392
8.1351
−1.3638
−0.1019
8.1351


1.4478
−0.0627
8.1351
−1.1588
−0.1269
8.1351


1.2401
0.0134
8.1351
−0.9468
−0.1538
8.1351


1.0314
0.0859
8.1351
−0.7349
−0.1814
8.1351


0.8216
0.1548
8.1351
−0.5230
−0.2103
8.1351


0.6108
0.2198
8.1351
−0.3115
−0.2403
8.1351


0.3987
0.2807
8.1351
−0.1000
−0.2717
8.1351


0.1854
0.3374
8.1351
0.1113
−0.3043
8.1351


−0.0292
0.3896
8.1351
0.3224
−0.3382
8.1351


−0.2452
0.4370
8.1351
0.5333
−0.3734
8.1351


−0.4627
0.4793
8.1351
0.7439
−0.4101
8.1351


−0.6816
0.5165
8.1351
0.9542
−0.4483
8.1351


−0.9023
0.5478
8.1351
1.1641
−0.4880
8.1351


−1.1240
0.5728
8.1351
1.3739
−0.5293
8.1351


−1.3388
0.5903
8.1351
1.5763
−0.5711
8.1351


−1.5467
0.6005
8.1351
1.7713
−0.6130
8.1351


−1.7475
0.6035
8.1351
1.9591
−0.6553
8.1351


−1.9410
0.5999
8.1351
2.1395
−0.6978
8.1351


−2.1267
0.5901
8.1351
2.3125
−0.7403
8.1351


−2.3047
0.5747
8.1351
2.4783
−0.7829
8.1351


−2.4746
0.5536
8.1351
2.6365
−0.8254
8.1351


−2.6363
0.5272
8.1351
2.7807
−0.8657
8.1351


−2.7821
0.4973
8.1351
2.9108
−0.9035
8.1351


−2.9122
0.4650
8.1351
3.0268
−0.9386
8.1351


−3.0265
0.4316
8.1351
3.1289
−0.9707
8.1351


−3.1321
0.3950
8.1351
3.2169
−0.9994
8.1351


−3.2216
0.3580
8.1351
3.2912
−1.0247
8.1351


−3.2880
0.3243
8.1351
3.3544
−1.0467
8.1351


−3.3367
0.2906
8.1351
3.4075
−1.0657
8.1351


−3.3680
0.2587
8.1351
3.4510
−1.0815
8.1351


−3.3850
0.2298
8.1351
3.4867
−1.0908
8.1351


−3.3903
0.2119
8.1351
3.5147
−1.0867
8.1351


−3.3912
0.1999
8.1351
3.5336
−1.0769
8.1351


−3.3908
0.1939
8.1351
3.5467
−1.0650
8.1351


−3.3905
0.1909
8.1351
3.5549
−1.0533
8.1351


3.4410
−0.9608
9.7621
−3.3259
0.1817
9.7621


3.4438
−0.9504
9.7621
−3.3256
0.1803
9.7621


3.4451
−0.9360
9.7621
−3.3250
0.1776
9.7621


3.4426
−0.9182
9.7621
−3.3234
0.1722
9.7621


3.4341
−0.8985
9.7621
−3.3188
0.1621
9.7621


3.4143
−0.8777
9.7621
−3.3085
0.1479
9.7621


3.3802
−0.8623
9.7621
−3.2845
0.1278
9.7621


3.3368
−0.8454
9.7621
−3.2469
0.1094
9.7621


3.2842
−0.8246
9.7621
−3.1936
0.0948
9.7621


3.2215
−0.7998
9.7621
−3.1253
0.0843
9.7621


3.1483
−0.7705
9.7621
−3.0358
0.0746
9.7621


3.0619
−0.7356
9.7621
−2.9322
0.0651
9.7621


2.9625
−0.6947
9.7621
−2.8218
0.0563
9.7621


2.8498
−0.6481
9.7621
−2.6975
0.0469
9.7621


2.7240
−0.5959
9.7621
−2.5593
0.0360
9.7621


2.5849
−0.5384
9.7621
−2.4075
0.0230
9.7621


2.4324
−0.4757
9.7621
−2.2488
0.0086
9.7621


2.2732
−0.4108
9.7621
−2.0834
−0.0075
9.7621


2.1069
−0.3440
9.7621
−1.9111
−0.0252
9.7621


1.9336
−0.2756
9.7621
−1.7321
−0.0445
9.7621


1.7531
−0.2059
9.7621
−1.5462
−0.0654
9.7621


1.5652
−0.1355
9.7621
−1.3536
−0.0879
9.7621


1.3698
−0.0647
9.7621
−1.1542
−0.1123
9.7621


1.1666
0.0059
9.7621
−0.9481
−0.1383
9.7621


0.9624
0.0736
9.7621
−0.7420
−0.1653
9.7621


0.7572
0.1379
9.7621
−0.5362
−0.1934
9.7621


0.5513
0.1987
9.7621
−0.3306
−0.2228
9.7621


0.3448
0.2560
9.7621
−0.1251
−0.2533
9.7621


0.1375
0.3093
9.7621
0.0802
−0.2850
9.7621


−0.0705
0.3584
9.7621
0.2853
−0.3178
9.7621


−0.2795
0.4031
9.7621
0.4903
−0.3518
9.7621


−0.4893
0.4431
9.7621
0.6951
−0.3868
9.7621


−0.7002
0.4781
9.7621
0.8998
−0.4230
9.7621


−0.9120
0.5078
9.7621
1.1041
−0.4604
9.7621


−1.1251
0.5316
9.7621
1.3083
−0.4993
9.7621


−1.3321
0.5487
9.7621
1.5054
−0.5382
9.7621


−1.5332
0.5591
9.7621
1.6954
−0.5771
9.7621


−1.7278
0.5630
9.7621
1.8783
−0.6160
9.7621


−1.9152
0.5608
9.7621
2.0541
−0.6549
9.7621


−2.0953
0.5529
9.7621
2.2230
−0.6937
9.7621


−2.2678
0.5393
9.7621
2.3847
−0.7322
9.7621


−2.4325
0.5206
9.7621
2.5394
−0.7705
9.7621


−2.5895
0.4969
9.7621
2.6803
−0.8068
9.7621


−2.7312
0.4697
9.7621
2.8075
−0.8407
9.7621


−2.8577
0.4403
9.7621
2.9210
−0.8721
9.7621


−2.9689
0.4096
9.7621
3.0209
−0.9008
9.7621


−3.0718
0.3758
9.7621
3.1072
−0.9265
9.7621


−3.1591
0.3415
9.7621
3.1800
−0.9490
9.7621


−3.2240
0.3101
9.7621
3.2422
−0.9687
9.7621


−3.2720
0.2785
9.7621
3.2942
−0.9856
9.7621


−3.3031
0.2482
9.7621
3.3370
−0.9997
9.7621


−3.3202
0.2208
9.7621
3.3718
−1.0081
9.7621


−3.3257
0.2034
9.7621
3.3988
−1.0036
9.7621


−3.3268
0.1919
9.7621
3.4168
−0.9937
9.7621


−3.3265
0.1861
9.7621
3.4292
−0.9818
9.7621


−3.3261
0.1832
9.7621
3.4367
−0.9703
9.7621


3.3224
−0.8605
11.3891
−3.2615
0.1584
11.3891


3.3248
−0.8504
11.3891
−3.2612
0.1571
11.3891


3.3256
−0.8364
11.3891
−3.2607
0.1544
11.3891


3.3225
−0.8193
11.3891
−3.2590
0.1492
11.3891


3.3133
−0.8006
11.3891
−3.2544
0.1394
11.3891


3.2932
−0.7815
11.3891
−3.2441
0.1260
11.3891


3.2598
−0.7680
11.3891
−3.2200
0.1074
11.3891


3.2174
−0.7528
11.3891
−3.1830
0.0913
11.3891


3.1658
−0.7343
11.3891
−3.1308
0.0793
11.3891


3.1045
−0.7123
11.3891
−3.0640
0.0717
11.3891


3.0328
−0.6863
11.3891
−2.9769
0.0649
11.3891


2.9483
−0.6552
11.3891
−2.8762
0.0581
11.3891


2.8509
−0.6190
11.3891
−2.7688
0.0515
11.3891


2.7406
−0.5775
11.3891
−2.6480
0.0443
11.3891


2.6174
−0.5311
11.3891
−2.5137
0.0359
11.3891


2.4811
−0.4800
11.3891
−2.3662
0.0255
11.3891


2.3318
−0.4241
11.3891
−2.2120
0.0136
11.3891


2.1758
−0.3663
11.3891
−2.0513
0.0001
11.3891


2.0132
−0.3068
11.3891
−1.8840
−0.0152
11.3891


1.8436
−0.2458
11.3891
−1.7101
−0.0324
11.3891


1.6672
−0.1838
11.3891
−1.5296
−0.0511
11.3891


1.4835
−0.1210
11.3891
−1.3425
−0.0714
11.3891


1.2928
−0.0579
11.3891
−1.1488
−0.0935
11.3891


1.0946
0.0053
11.3891
−0.9486
−0.1173
11.3891


0.8957
0.0660
11.3891
−0.7485
−0.1423
11.3891


0.6961
0.1240
11.3891
−0.5486
−0.1686
11.3891


0.4957
0.1789
11.3891
−0.3487
−0.1961
11.3891


0.2944
0.2307
11.3891
−0.1491
−0.2246
11.3891


0.0924
0.2790
11.3891
0.0503
−0.2543
11.3891


−0.1105
0.3236
11.3891
0.2495
−0.2850
11.3891


−0.3145
0.3643
11.3891
0.4487
−0.3167
11.3891


−0.5193
0.4006
11.3891
0.6477
−0.3494
11.3891


−0.7245
0.4322
11.3891
0.8466
−0.3829
11.3891


−0.9300
0.4587
11.3891
1.0452
−0.4173
11.3891


−1.1357
0.4798
11.3891
1.2438
−0.4527
11.3891


−1.3350
0.4946
11.3891
1.4355
−0.4880
11.3891


−1.5275
0.5037
11.3891
1.6204
−0.5231
11.3891


−1.7135
0.5071
11.3891
1.7985
−0.5581
11.3891


−1.8928
0.5051
11.3891
1.9698
−0.5930
11.3891


−2.0656
0.4979
11.3891
2.1342
−0.6277
11.3891


−2.2317
0.4855
11.3891
2.2919
−0.6621
11.3891


−2.3910
0.4684
11.3891
2.4427
−0.6962
11.3891


−2.5427
0.4467
11.3891
2.5801
−0.7285
11.3891


−2.6799
0.4222
11.3891
2.7042
−0.7587
11.3891


−2.8024
0.3955
11.3891
2.8151
−0.7867
11.3891


−2.9104
0.3677
11.3891
2.9127
−0.8121
11.3891


−3.0103
0.3372
11.3891
2.9970
−0.8350
11.3891


−3.0956
0.3064
11.3891
3.0682
−0.8549
11.3891


−3.1594
0.2785
11.3891
3.1290
−0.8724
11.3891


−3.2069
0.2500
11.3891
3.1799
−0.8873
11.3891


−3.2380
0.2220
11.3891
3.2218
−0.8999
11.3891


−3.2554
0.1959
11.3891
3.2558
−0.9076
11.3891


−3.2611
0.1794
11.3891
3.2822
−0.9031
11.3891


−3.2623
0.1682
11.3891
3.2997
−0.8931
11.3891


−3.2622
0.1626
11.3891
3.3116
−0.8812
11.3891


−3.2618
0.1597
11.3891
3.3187
−0.8699
11.3891


3.2038
−0.7488
13.0162
−3.1972
0.1265
13.0162


3.2058
−0.7388
13.0162
−3.1970
0.1252
13.0162


3.2061
−0.7254
13.0162
−3.1963
0.1226
13.0162


3.2026
−0.7090
13.0162
−3.1948
0.1176
13.0162


3.1929
−0.6913
13.0162
−3.1900
0.1082
13.0162


3.1727
−0.6737
13.0162
−3.1795
0.0956
13.0162


3.1399
−0.6619
13.0162
−3.1553
0.0789
13.0162


3.0985
−0.6487
13.0162
−3.1186
0.0654
13.0162


3.0483
−0.6324
13.0162
−3.0672
0.0568
13.0162


2.9885
−0.6132
13.0162
−3.0021
0.0529
13.0162


2.9184
−0.5906
13.0162
−2.9174
0.0499
13.0162


2.8358
−0.5635
13.0162
−2.8197
0.0465
13.0162


2.7407
−0.5319
13.0162
−2.7154
0.0430
13.0162


2.6328
−0.4958
13.0162
−2.5981
0.0389
13.0162


2.5124
−0.4555
13.0162
−2.4678
0.0336
13.0162


2.3792
−0.4110
13.0162
−2.3246
0.0267
13.0162


2.2332
−0.3625
13.0162
−2.1750
0.0183
13.0162


2.0808
−0.3124
13.0162
−2.0188
0.0081
13.0162


1.9218
−0.2608
13.0162
−1.8563
−0.0039
13.0162


1.7561
−0.2081
13.0162
−1.6874
−0.0175
13.0162


1.5837
−0.1544
13.0162
−1.5120
−0.0329
13.0162


1.4045
−0.1001
13.0162
−1.3303
−0.0499
13.0162


1.2184
−0.0454
13.0162
−1.1422
−0.0685
13.0162


1.0253
0.0090
13.0162
−0.9478
−0.0890
13.0162


0.8318
0.0614
13.0162
−0.7535
−0.1106
13.0162


0.6381
0.1112
13.0162
−0.5593
−0.1336
13.0162


0.4439
0.1585
13.0162
−0.3654
−0.1578
13.0162


0.2494
0.2028
13.0162
−0.1715
−0.1832
13.0162


0.0546
0.2442
13.0162
0.0221
−0.2096
13.0162


−0.1407
0.2823
13.0162
0.2157
−0.2371
13.0162


−0.3364
0.3168
13.0162
0.4091
−0.2656
13.0162


−0.5326
0.3477
13.0162
0.6024
−0.2949
13.0162


−0.7292
0.3746
13.0162
0.7956
−0.3252
13.0162


−0.9265
0.3973
13.0162
0.9887
−0.3563
13.0162


−1.1243
0.4153
13.0162
1.1817
−0.3883
13.0162


−1.3161
0.4280
13.0162
1.3680
−0.4201
13.0162


−1.5020
0.4357
13.0162
1.5477
−0.4518
13.0162


−1.6816
0.4387
13.0162
1.7208
−0.4834
13.0162


−1.8553
0.4368
13.0162
1.8874
−0.5147
13.0162


−2.0229
0.4305
13.0162
2.0474
−0.5459
13.0162


−2.1843
0.4196
13.0162
2.2008
−0.5769
13.0162


−2.3394
0.4043
13.0162
2.3475
−0.6075
13.0162


−2.4874
0.3851
13.0162
2.4814
−0.6363
13.0162


−2.6212
0.3633
13.0162
2.6022
−0.6632
13.0162


−2.7409
0.3395
13.0162
2.7103
−0.6881
13.0162


−2.8466
0.3148
13.0162
2.8054
−0.7108
13.0162


−2.9447
0.2880
13.0162
2.8877
−0.7311
13.0162


−3.0288
0.2614
13.0162
2.9572
−0.7487
13.0162


−3.0923
0.2375
13.0162
3.0165
−0.7642
13.0162


−3.1401
0.2126
13.0162
3.0663
−0.7774
13.0162


−3.1718
0.1871
13.0162
3.1072
−0.7884
13.0162


−3.1902
0.1627
13.0162
3.1402
−0.7954
13.0162


−3.1963
0.1468
13.0162
3.1657
−0.7908
13.0162


−3.1979
0.1361
13.0162
3.1825
−0.7809
13.0162


−3.1977
0.1305
13.0162
3.1938
−0.7691
13.0162


−3.1974
0.1279
13.0162
3.2004
−0.7579
13.0162


3.0854
−0.6397
14.6432
−3.1328
0.0946
14.6432


3.0870
−0.6301
14.6432
−3.1326
0.0934
14.6432


3.0868
−0.6171
14.6432
−3.1320
0.0909
14.6432


3.0828
−0.6015
14.6432
−3.1303
0.0860
14.6432


3.0727
−0.5848
14.6432
−3.1255
0.0771
14.6432


3.0524
−0.5689
14.6432
−3.1149
0.0653
14.6432


3.0204
−0.5589
14.6432
−3.0907
0.0501
14.6432


2.9800
−0.5475
14.6432
−3.0546
0.0385
14.6432


2.9310
−0.5335
14.6432
−3.0043
0.0323
14.6432


2.8727
−0.5169
14.6432
−2.9412
0.0309
14.6432


2.8045
−0.4975
14.6432
−2.8591
0.0308
14.6432


2.7239
−0.4743
14.6432
−2.7643
0.0307
14.6432


2.6311
−0.4472
14.6432
−2.6632
0.0303
14.6432


2.5259
−0.4163
14.6432
−2.5495
0.0289
14.6432


2.4084
−0.3818
14.6432
−2.4232
0.0265
14.6432


2.2784
−0.3437
14.6432
−2.2844
0.0225
14.6432


2.1360
−0.3024
14.6432
−2.1392
0.0171
14.6432


1.9872
−0.2596
14.6432
−1.9879
0.0101
14.6432


1.8322
−0.2155
14.6432
−1.8302
0.0014
14.6432


1.6707
−0.1706
14.6432
−1.6662
−0.0090
14.6432


1.5027
−0.1248
14.6432
−1.4962
−0.0209
14.6432


1.3281
−0.0786
14.6432
−1.3198
−0.0345
14.6432


1.1470
−0.0322
14.6432
−1.1374
−0.0497
14.6432


0.9591
0.0141
14.6432
−0.9487
−0.0666
14.6432


0.7710
0.0585
14.6432
−0.7602
−0.0846
14.6432


0.5824
0.1009
14.6432
−0.5718
−0.1039
14.6432


0.3932
0.1411
14.6432
−0.3836
−0.1244
14.6432


0.2036
0.1789
14.6432
−0.1954
−0.1462
14.6432


0.0136
0.2141
14.6432
−0.0074
−0.1690
14.6432


−0.1773
0.2465
14.6432
0.1806
−0.1927
14.6432


−0.3685
0.2759
14.6432
0.3684
−0.2175
14.6432


−0.5602
0.3021
14.6432
0.5562
−0.2431
14.6432


−0.7522
0.3248
14.6432
0.7438
−0.2696
14.6432


−0.9447
0.3436
14.6432
0.9313
−0.2970
14.6432


−1.1376
0.3586
14.6432
1.1186
−0.3252
14.6432


−1.3244
0.3688
14.6432
1.2996
−0.3534
14.6432


−1.5049
0.3746
14.6432
1.4741
−0.3815
14.6432


−1.6791
0.3763
14.6432
1.6424
−0.4096
14.6432


−1.8468
0.3739
14.6432
1.8041
−0.4374
14.6432


−2.0080
0.3674
14.6432
1.9597
−0.4650
14.6432


−2.1625
0.3571
14.6432
2.1087
−0.4924
14.6432


−2.3103
0.3431
14.6432
2.2515
−0.5196
14.6432


−2.4512
0.3256
14.6432
2.3817
−0.5452
14.6432


−2.5787
0.3059
14.6432
2.4993
−0.5689
14.6432


−2.6930
0.2849
14.6432
2.6044
−0.5909
14.6432


−2.7941
0.2634
14.6432
2.6970
−0.6108
14.6432


−2.8881
0.2404
14.6432
2.7771
−0.6287
14.6432


−2.9688
0.2175
14.6432
2.8449
−0.6442
14.6432


−3.0300
0.1970
14.6432
2.9027
−0.6577
14.6432


−3.0764
0.1749
14.6432
2.9512
−0.6693
14.6432


−3.1074
0.1516
14.6432
2.9911
−0.6790
14.6432


−3.1255
0.1290
14.6432
3.0232
−0.6856
14.6432


−3.1317
0.1140
14.6432
3.0483
−0.6815
14.6432


−3.1334
0.1037
14.6432
3.0649
−0.6718
14.6432


−3.1333
0.0985
14.6432
3.0759
−0.6601
14.6432


−3.1330
0.0959
14.6432
3.0822
−0.6489
14.6432


2.9671
−0.5403
16.2701
−3.0681
0.0635
16.2701


2.9684
−0.5310
16.2701
−3.0679
0.0623
16.2701


2.9677
−0.5184
16.2701
−3.0673
0.0599
16.2701


2.9633
−0.5034
16.2701
−3.0657
0.0552
16.2701


2.9529
−0.4877
16.2701
−3.0608
0.0466
16.2701


2.9323
−0.4734
16.2701
−3.0501
0.0354
16.2701


2.9011
−0.4650
16.2701
−3.0264
0.0215
16.2701


2.8618
−0.4554
16.2701
−2.9910
0.0113
16.2701


2.8141
−0.4435
16.2701
−2.9421
0.0068
16.2701


2.7573
−0.4293
16.2701
−2.8809
0.0071
16.2701


2.6908
−0.4128
16.2701
−2.8014
0.0088
16.2701


2.6124
−0.3930
16.2701
−2.7096
0.0108
16.2701


2.5219
−0.3698
16.2701
−2.6117
0.0122
16.2701


2.4194
−0.3435
16.2701
−2.5016
0.0126
16.2701


2.3048
−0.3141
16.2701
−2.3793
0.0121
16.2701


2.1780
−0.2817
16.2701
−2.2447
0.0103
16.2701


2.0393
−0.2464
16.2701
−2.1041
0.0073
16.2701


1.8944
−0.2100
16.2701
−1.9574
0.0027
16.2701


1.7433
−0.1725
16.2701
−1.8045
−0.0034
16.2701


1.5860
−0.1342
16.2701
−1.6456
−0.0111
16.2701


1.4224
−0.0953
16.2701
−1.4807
−0.0202
16.2701


1.2526
−0.0560
16.2701
−1.3098
−0.0307
16.2701


1.0764
−0.0165
16.2701
−1.1328
−0.0427
16.2701


0.8939
0.0229
16.2701
−0.9498
−0.0562
16.2701


0.7110
0.0606
16.2701
−0.7669
−0.0710
16.2701


0.5278
0.0966
16.2701
−0.5842
−0.0868
16.2701


0.3443
0.1307
16.2701
−0.4015
−0.1040
16.2701


0.1603
0.1627
16.2701
−0.2189
−0.1221
16.2701


−0.0241
0.1925
16.2701
−0.0364
−0.1413
16.2701


−0.2089
0.2199
16.2701
0.1460
−0.1614
16.2701


−0.3940
0.2446
16.2701
0.3283
−0.1824
16.2701


−0.5794
0.2666
16.2701
0.5106
−0.2043
16.2701


−0.7652
0.2854
16.2701
0.6926
−0.2269
16.2701


−0.9513
0.3010
16.2701
0.8747
−0.2503
16.2701


−1.1378
0.3130
16.2701
1.0566
−0.2745
16.2701


−1.3183
0.3211
16.2701
1.2324
−0.2988
16.2701


−1.4926
0.3252
16.2701
1.4019
−0.3229
16.2701


−1.6607
0.3258
16.2701
1.5653
−0.3471
16.2701


−1.8226
0.3226
16.2701
1.7226
−0.3710
16.2701


−1.9782
0.3160
16.2701
1.8737
−0.3949
16.2701


−2.1273
0.3060
16.2701
2.0186
−0.4185
16.2701


−2.2700
0.2928
16.2701
2.1574
−0.4419
16.2701


−2.4062
0.2763
16.2701
2.2839
−0.4640
16.2701


−2.5294
0.2580
16.2701
2.3983
−0.4846
16.2701


−2.6399
0.2387
16.2701
2.5006
−0.5036
16.2701


−2.7377
0.2189
16.2701
2.5907
−0.5207
16.2701


−2.8288
0.1982
16.2701
2.6688
−0.5361
16.2701


−2.9072
0.1778
16.2701
2.7347
−0.5496
16.2701


−2.9668
0.1596
16.2701
2.7910
−0.5613
16.2701


−3.0122
0.1397
16.2701
2.8383
−0.5712
16.2701


−3.0427
0.1181
16.2701
2.8772
−0.5796
16.2701


−3.0607
0.0965
16.2701
2.9085
−0.5854
16.2701


−3.0669
0.0822
16.2701
2.9326
−0.5811
16.2701


−3.0687
0.0723
16.2701
2.9483
−0.5714
16.2701


−3.0686
0.0673
16.2701
2.9585
−0.5600
16.2701


−3.0683
0.0648
16.2701
2.9643
−0.5491
16.2701


2.8494
−0.4461
17.8935
−3.0035
0.0324
17.8935


2.8504
−0.4370
17.8935
−3.0033
0.0312
17.8935


2.8495
−0.4249
17.8935
−3.0028
0.0289
17.8935


2.8447
−0.4106
17.8935
−3.0012
0.0243
17.8935


2.8342
−0.3957
17.8935
−2.9963
0.0160
17.8935


2.8139
−0.3825
17.8935
−2.9859
0.0053
17.8935


2.7835
−0.3754
17.8935
−2.9626
−0.0079
17.8935


2.7453
−0.3670
17.8935
−2.9283
−0.0170
17.8935


2.6988
−0.3567
17.8935
−2.8808
−0.0203
17.8935


2.6436
−0.3446
17.8935
−2.8216
−0.0188
17.8935


2.5790
−0.3305
17.8935
−2.7446
−0.0164
17.8935


2.5027
−0.3135
17.8935
−2.6558
−0.0141
17.8935


2.4146
−0.2939
17.8935
−2.5610
−0.0124
17.8935


2.3148
−0.2714
17.8935
−2.4544
−0.0112
17.8935


2.2034
−0.2463
17.8935
−2.3359
−0.0104
17.8935


2.0800
−0.2187
17.8935
−2.2056
−0.0107
17.8935


1.9450
−0.1886
17.8935
−2.0694
−0.0122
17.8935


1.8041
−0.1577
17.8935
−1.9273
−0.0148
17.8935


1.6570
−0.1259
17.8935
−1.7792
−0.0189
17.8935


1.5040
−0.0934
17.8935
−1.6253
−0.0243
17.8935


1.3450
−0.0605
17.8935
−1.4655
−0.0310
17.8935


1.1799
−0.0272
17.8935
−1.2998
−0.0387
17.8935


1.0087
0.0063
17.8935
−1.1284
−0.0477
17.8935


0.8314
0.0395
17.8935
−0.9510
−0.0581
17.8935


0.6537
0.0713
17.8935
−0.7738
−0.0695
17.8935


0.4759
0.1014
17.8935
−0.5965
−0.0820
17.8935


0.2978
0.1300
17.8935
−0.4193
−0.0956
17.8935


0.1195
0.1567
17.8935
−0.2422
−0.1102
17.8935


−0.0593
0.1815
17.8935
−0.0653
−0.1256
17.8935


−0.2384
0.2042
17.8935
0.1117
−0.1420
17.8935


−0.4177
0.2246
17.8935
0.2886
−0.1590
17.8935


−0.5972
0.2424
17.8935
0.4654
−0.1770
17.8935


−0.7770
0.2576
17.8935
0.6421
−0.1955
17.8935


−0.9569
0.2700
17.8935
0.8187
−0.2148
17.8935


−1.1372
0.2792
17.8935
0.9954
−0.2346
17.8935


−1.3116
0.2848
17.8935
1.1660
−0.2545
17.8935


−1.4800
0.2871
17.8935
1.3306
−0.2743
17.8935


−1.6425
0.2861
17.8935
1.4894
−0.2941
17.8935


−1.7989
0.2819
17.8935
1.6421
−0.3141
17.8935


−1.9491
0.2746
17.8935
1.7888
−0.3338
17.8935


−2.0932
0.2642
17.8935
1.9297
−0.3534
17.8935


−2.2309
0.2508
17.8935
2.0646
−0.3728
17.8935


−2.3624
0.2349
17.8935
2.1876
−0.3910
17.8935


−2.4815
0.2172
17.8935
2.2989
−0.4081
17.8935


−2.5881
0.1983
17.8935
2.3983
−0.4238
17.8935


−2.6825
0.1791
17.8935
2.4860
−0.4380
17.8935


−2.7707
0.1590
17.8935
2.5620
−0.4509
17.8935


−2.8465
0.1398
17.8935
2.6261
−0.4620
17.8935


−2.9044
0.1232
17.8935
2.6810
−0.4717
17.8935


−2.9487
0.1050
17.8935
2.7271
−0.4799
17.8935


−2.9785
0.0847
17.8935
2.7649
−0.4868
17.8935


−2.9961
0.0642
17.8935
2.7953
−0.4912
17.8935


−3.0023
0.0503
17.8935
2.8179
−0.4861
17.8935


−3.0041
0.0408
17.8935
2.8325
−0.4764
17.8935


−3.0040
0.0360
17.8935
2.8418
−0.4651
17.8935


−3.0037
0.0336
17.8935
2.8470
−0.4546
17.8935


2.7306
−0.3578
19.5242
−2.9394
0.0017
19.5242


2.7314
−0.3489
19.5242
−2.9392
0.0006
19.5242


2.7302
−0.3373
19.5242
−2.9386
−0.0018
19.5242


2.7253
−0.3235
19.5242
−2.9371
−0.0061
19.5242


2.7150
−0.3093
19.5242
−2.9324
−0.0141
19.5242


2.6953
−0.2966
19.5242
−2.9223
−0.0244
19.5242


2.6658
−0.2901
19.5242
−2.8998
−0.0372
19.5242


2.6288
−0.2827
19.5242
−2.8666
−0.0464
19.5242


2.5837
−0.2739
19.5242
−2.8208
−0.0502
19.5242


2.5301
−0.2635
19.5242
−2.7636
−0.0498
19.5242


2.4673
−0.2512
19.5242
−2.6891
−0.0477
19.5242


2.3932
−0.2367
19.5242
−2.6032
−0.0454
19.5242


2.3076
−0.2198
19.5242
−2.5115
−0.0436
19.5242


2.2107
−0.2006
19.5242
−2.4084
−0.0420
19.5242


2.1023
−0.1790
19.5242
−2.2939
−0.0406
19.5242


1.9826
−0.1553
19.5242
−2.1679
−0.0396
19.5242


1.8514
−0.1296
19.5242
−2.0361
−0.0400
19.5242


1.7145
−0.1032
19.5242
−1.8986
−0.0413
19.5242


1.5717
−0.0761
19.5242
−1.7554
−0.0437
19.5242


1.4231
−0.0486
19.5242
−1.6065
−0.0471
19.5242


1.2686
−0.0207
19.5242
−1.4519
−0.0515
19.5242


1.1083
0.0072
19.5242
−1.2916
−0.0568
19.5242


0.9420
0.0351
19.5242
−1.1256
−0.0631
19.5242


0.7698
0.0628
19.5242
−0.9540
−0.0703
19.5242


0.5974
0.0891
19.5242
−0.7823
−0.0786
19.5242


0.4249
0.1140
19.5242
−0.6108
−0.0878
19.5242


0.2521
0.1374
19.5242
−0.4392
−0.0979
19.5242


0.0792
0.1593
19.5242
−0.2677
−0.1089
19.5242


−0.0940
0.1795
19.5242
−0.0962
−0.1207
19.5242


−0.2674
0.1977
19.5242
0.0751
−0.1332
19.5242


−0.4411
0.2140
19.5242
0.2465
−0.1465
19.5242


−0.6149
0.2282
19.5242
0.4179
−0.1603
19.5242


−0.7889
0.2399
19.5242
0.5890
−0.1748
19.5242


−0.9630
0.2492
19.5242
0.7603
−0.1897
19.5242


−1.1372
0.2555
19.5242
0.9315
−0.2052
19.5242


−1.3059
0.2587
19.5242
1.0968
−0.2207
19.5242


−1.4687
0.2590
19.5242
1.2565
−0.2361
19.5242


−1.6256
0.2564
19.5242
1.4104
−0.2515
19.5242


−1.7767
0.2507
19.5242
1.5586
−0.2667
19.5242


−1.9219
0.2424
19.5242
1.7010
−0.2819
19.5242


−2.0610
0.2314
19.5242
1.8377
−0.2970
19.5242


−2.1940
0.2175
19.5242
1.9686
−0.3119
19.5242


−2.3209
0.2015
19.5242
2.0881
−0.3260
19.5242


−2.4359
0.1840
19.5242
2.1962
−0.3392
19.5242


−2.5389
0.1653
19.5242
2.2928
−0.3514
19.5242


−2.6301
0.1463
19.5242
2.3780
−0.3626
19.5242


−2.7151
0.1266
19.5242
2.4518
−0.3726
19.5242


−2.7882
0.1074
19.5242
2.5142
−0.3813
19.5242


−2.8438
0.0904
19.5242
2.5675
−0.3888
19.5242


−2.8863
0.0720
19.5242
2.6124
−0.3952
19.5242


−2.9150
0.0522
19.5242
2.6492
−0.4006
19.5242


−2.9321
0.0324
19.5242
2.6788
−0.4038
19.5242


−2.9381
0.0191
19.5242
2.7010
−0.3979
19.5242


−2.9399
0.0099
19.5242
2.7150
−0.3879
19.5242


−2.9398
0.0052
19.5242
2.7237
−0.3766
19.5242


−2.9396
0.0029
19.5242
2.7285
−0.3661
19.5242


2.6117
−0.2786
21.1513
−2.8751
−0.0270
21.1513


2.6122
−0.2701
21.1513
−2.8749
−0.0281
21.1513


2.6110
−0.2587
21.1513
−2.8744
−0.0302
21.1513


2.6063
−0.2455
21.1513
−2.8729
−0.0345
21.1513


2.5965
−0.2316
21.1513
−2.8685
−0.0423
21.1513


2.5780
−0.2187
21.1513
−2.8589
−0.0524
21.1513


2.5495
−0.2121
21.1513
−2.8373
−0.0651
21.1513


2.5136
−0.2057
21.1513
−2.8055
−0.0748
21.1513


2.4699
−0.1978
21.1513
−2.7613
−0.0802
21.1513


2.4179
−0.1886
21.1513
−2.7060
−0.0816
21.1513


2.3570
−0.1779
21.1513
−2.6340
−0.0813
21.1513


2.2851
−0.1651
21.1513
−2.5509
−0.0799
21.1513


2.2021
−0.1503
21.1513
−2.4623
−0.0784
21.1513


2.1081
−0.1336
21.1513
−2.3626
−0.0769
21.1513


2.0029
−0.1149
21.1513
−2.2519
−0.0755
21.1513


1.8867
−0.0942
21.1513
−2.1300
−0.0744
21.1513


1.7594
−0.0719
21.1513
−2.0026
−0.0741
21.1513


1.6265
−0.0489
21.1513
−1.8696
−0.0747
21.1513


1.4880
−0.0256
21.1513
−1.7311
−0.0759
21.1513


1.3438
−0.0021
21.1513
−1.5872
−0.0778
21.1513


1.1940
0.0215
21.1513
−1.4376
−0.0805
21.1513


1.0386
0.0448
21.1513
−1.2825
−0.0837
21.1513


0.8776
0.0679
21.1513
−1.1219
−0.0875
21.1513


0.7109
0.0906
21.1513
−0.9558
−0.0921
21.1513


0.5440
0.1122
21.1513
−0.7898
−0.0974
21.1513


0.3772
0.1326
21.1513
−0.6238
−0.1035
21.1513


0.2102
0.1516
21.1513
−0.4578
−0.1104
21.1513


0.0430
0.1692
21.1513
−0.2917
−0.1181
21.1513


−0.1243
0.1854
21.1513
−0.1258
−0.1264
21.1513


−0.2917
0.1998
21.1513
0.0401
−0.1353
21.1513


−0.4592
0.2126
21.1513
0.2059
−0.1448
21.1513


−0.6269
0.2234
21.1513
0.3719
−0.1549
21.1513


−0.7949
0.2322
21.1513
0.5377
−0.1654
21.1513


−0.9629
0.2387
21.1513
0.7035
−0.1762
21.1513


−1.1312
0.2424
21.1513
0.8693
−0.1876
21.1513


−1.2942
0.2434
21.1513
1.0296
−0.1989
21.1513


−1.4517
0.2417
21.1513
1.1842
−0.2100
21.1513


−1.6038
0.2373
21.1513
1.3335
−0.2210
21.1513


−1.7505
0.2302
21.1513
1.4771
−0.2316
21.1513


−1.8913
0.2205
21.1513
1.6152
−0.2422
21.1513


−2.0261
0.2083
21.1513
1.7477
−0.2526
21.1513


−2.1552
0.1937
21.1513
1.8747
−0.2630
21.1513


−2.2782
0.1768
21.1513
1.9906
−0.2728
21.1513


−2.3897
0.1586
21.1513
2.0954
−0.2821
21.1513


−2.4894
0.1397
21.1513
2.1892
−0.2906
21.1513


−2.5777
0.1204
21.1513
2.2720
−0.2986
21.1513


−2.6599
0.1001
21.1513
2.3436
−0.3056
21.1513


−2.7305
0.0797
21.1513
2.4042
−0.3118
21.1513


−2.7838
0.0614
21.1513
2.4560
−0.3171
21.1513


−2.8246
0.0422
21.1513
2.4996
−0.3216
21.1513


−2.8520
0.0223
21.1513
2.5354
−0.3254
21.1513


−2.8683
0.0029
21.1513
2.5642
−0.3266
21.1513


−2.8740
−0.0101
21.1513
2.5850
−0.3191
21.1513


−2.8756
−0.0191
21.1513
2.5978
−0.3084
21.1513


−2.8756
−0.0236
21.1513
2.6057
−0.2971
21.1513


−2.8753
−0.0258
21.1513
2.6099
−0.2867
21.1513


2.5527
−0.2429
21.9647
−2.8426
−0.0402
21.9647


2.5532
−0.2345
21.9647
−2.8425
−0.0413
21.9647


2.5520
−0.2235
21.9647
−2.8419
−0.0434
21.9647


2.5475
−0.2104
21.9647
−2.8405
−0.0476
21.9647


2.5382
−0.1965
21.9647
−2.8363
−0.0553
21.9647


2.5206
−0.1832
21.9647
−2.8270
−0.0654
21.9647


2.4928
−0.1759
21.9647
−2.8061
−0.0784
21.9647


2.4574
−0.1698
21.9647
−2.7751
−0.0886
21.9647


2.4144
−0.1623
21.9647
−2.7318
−0.0946
21.9647


2.3631
−0.1535
21.9647
−2.6774
−0.0968
21.9647


2.3032
−0.1432
21.9647
−2.6067
−0.0976
21.9647


2.2324
−0.1311
21.9647
−2.5250
−0.0974
21.9647


2.1507
−0.1171
21.9647
−2.4378
−0.0966
21.9647


2.0580
−0.1012
21.9647
−2.3398
−0.0956
21.9647


1.9545
−0.0835
21.9647
−2.2308
−0.0947
21.9647


1.8401
−0.0642
21.9647
−2.1111
−0.0940
21.9647


1.7146
−0.0432
21.9647
−1.9858
−0.0938
21.9647


1.5837
−0.0218
21.9647
−1.8551
−0.0943
21.9647


1.4472
−0.0002
21.9647
−1.7190
−0.0952
21.9647


1.3053
0.0217
21.9647
−1.5774
−0.0968
21.9647


1.1577
0.0434
21.9647
−1.4304
−0.0988
21.9647


1.0045
0.0650
21.9647
−1.2779
−0.1013
21.9647


0.8458
0.0862
21.9647
−1.1200
−0.1041
21.9647


0.6814
0.1070
21.9647
−0.9566
−0.1075
21.9647


0.5169
0.1267
21.9647
−0.7933
−0.1114
21.9647


0.3521
0.1451
21.9647
−0.6300
−0.1161
21.9647


0.1873
0.1623
21.9647
−0.4667
−0.1214
21.9647


0.0223
0.1783
21.9647
−0.3035
−0.1274
21.9647


−0.1428
0.1927
21.9647
−0.1402
−0.1339
21.9647


−0.3082
0.2057
21.9647
0.0230
−0.1410
21.9647


−0.4736
0.2169
21.9647
0.1862
−0.1487
21.9647


−0.6393
0.2263
21.9647
0.3494
−0.1569
21.9647


−0.8049
0.2337
21.9647
0.5125
−0.1654
21.9647


−0.9707
0.2387
21.9647
0.6757
−0.1743
21.9647


−1.1365
0.2413
21.9647
0.8388
−0.1835
21.9647


−1.2969
0.2411
21.9647
0.9965
−0.1926
21.9647


−1.4517
0.2381
21.9647
1.1487
−0.2014
21.9647


−1.6008
0.2326
21.9647
1.2955
−0.2102
21.9647


−1.7443
0.2245
21.9647
1.4369
−0.2187
21.9647


−1.8822
0.2138
21.9647
1.5728
−0.2272
21.9647


−2.0142
0.2007
21.9647
1.7032
−0.2354
21.9647


−2.1405
0.1852
21.9647
1.8282
−0.2436
21.9647


−2.2609
0.1675
21.9647
1.9423
−0.2513
21.9647


−2.3699
0.1487
21.9647
2.0456
−0.2586
21.9647


−2.4676
0.1291
21.9647
2.1379
−0.2654
21.9647


−2.5538
0.1092
21.9647
2.2194
−0.2716
21.9647


−2.6340
0.0880
21.9647
2.2899
−0.2771
21.9647


−2.7028
0.0669
21.9647
2.3497
−0.2819
21.9647


−2.7548
0.0482
21.9647
2.4007
−0.2861
21.9647


−2.7943
0.0287
21.9647
2.4436
−0.2897
21.9647


−2.8207
0.0086
21.9647
2.4788
−0.2927
21.9647


−2.8363
−0.0109
21.9647
2.5071
−0.2925
21.9647


−2.8417
−0.0236
21.9647
2.5274
−0.2840
21.9647


−2.8431
−0.0324
21.9647
2.5397
−0.2729
21.9647


−2.8430
−0.0369
21.9647
2.5472
−0.2614
21.9647


−2.8428
−0.0391
21.9647
2.5512
−0.2510
21.9647


2.4938
−0.2104
22.7782
−2.8103
−0.0526
22.7782


2.4942
−0.2023
22.7782
−2.8101
−0.0537
22.7782


2.4930
−0.1915
22.7782
−2.8096
−0.0559
22.7782


2.4888
−0.1785
22.7782
−2.8083
−0.0599
22.7782


2.4799
−0.1646
22.7782
−2.8043
−0.0676
22.7782


2.4631
−0.1508
22.7782
−2.7955
−0.0778
22.7782


2.4361
−0.1427
22.7782
−2.7755
−0.0914
22.7782


2.4013
−0.1368
22.7782
−2.7454
−0.1024
22.7782


2.3590
−0.1296
22.7782
−2.7031
−0.1094
22.7782


2.3086
−0.1211
22.7782
−2.6496
−0.1126
22.7782


2.2496
−0.1112
22.7782
−2.5801
−0.1148
22.7782


2.1799
−0.0996
22.7782
−2.4997
−0.1159
22.7782


2.0994
−0.0861
22.7782
−2.4141
−0.1161
22.7782


2.0082
−0.0709
22.7782
−2.3177
−0.1161
22.7782


1.9063
−0.0540
22.7782
−2.2106
−0.1159
22.7782


1.7935
−0.0357
22.7782
−2.0928
−0.1159
22.7782


1.6700
−0.0159
22.7782
−1.9696
−0.1161
22.7782


1.5412
0.0042
22.7782
−1.8411
−0.1168
22.7782


1.4068
0.0246
22.7782
−1.7073
−0.1179
22.7782


1.2668
0.0450
22.7782
−1.5680
−0.1193
22.7782


1.1215
0.0654
22.7782
−1.4234
−0.1209
22.7782


0.9705
0.0856
22.7782
−1.2735
−0.1228
22.7782


0.8140
0.1055
22.7782
−1.1181
−0.1247
22.7782


0.6521
0.1248
22.7782
−0.9576
−0.1270
22.7782


0.4900
0.1430
22.7782
−0.7969
−0.1297
22.7782


0.3278
0.1599
22.7782
−0.6363
−0.1329
22.7782


0.1655
0.1757
22.7782
−0.4757
−0.1367
22.7782


0.0030
0.1903
22.7782
−0.3152
−0.1410
22.7782


−0.1596
0.2033
22.7782
−0.1546
−0.1458
22.7782


−0.3224
0.2150
22.7782
0.0060
−0.1511
22.7782


−0.4851
0.2249
22.7782
0.1666
−0.1568
22.7782


−0.6481
0.2330
22.7782
0.3271
−0.1630
22.7782


−0.8111
0.2392
22.7782
0.4876
−0.1694
22.7782


−0.9742
0.2431
22.7782
0.6481
−0.1761
22.7782


−1.1373
0.2445
22.7782
0.8087
−0.1830
22.7782


−1.2950
0.2432
22.7782
0.9638
−0.1896
22.7782


−1.4472
0.2390
22.7782
1.1136
−0.1963
22.7782


−1.5939
0.2324
22.7782
1.2581
−0.2027
22.7782


−1.7350
0.2232
22.7782
1.3972
−0.2092
22.7782


−1.8705
0.2114
22.7782
1.5309
−0.2153
22.7782


−2.0003
0.1972
22.7782
1.6592
−0.2214
22.7782


−2.1243
0.1807
22.7782
1.7823
−0.2274
22.7782


−2.2426
0.1620
22.7782
1.8947
−0.2330
22.7782


−2.3495
0.1421
22.7782
1.9963
−0.2384
22.7782


−2.4453
0.1217
22.7782
2.0871
−0.2433
22.7782


−2.5298
0.1008
22.7782
2.1673
−0.2478
22.7782


−2.6083
0.0786
22.7782
2.2368
−0.2518
22.7782


−2.6755
0.0565
22.7782
2.2957
−0.2554
22.7782


−2.7262
0.0368
22.7782
2.3459
−0.2585
22.7782


−2.7646
0.0165
22.7782
2.3881
−0.2611
22.7782


−2.7899
−0.0040
22.7782
2.4229
−0.2633
22.7782


−2.8046
−0.0236
22.7782
2.4505
−0.2615
22.7782


−2.8096
−0.0363
22.7782
2.4700
−0.2519
22.7782


−2.8108
−0.0450
22.7782
2.4816
−0.2405
22.7782


−2.8108
−0.0493
22.7782
2.4887
−0.2289
22.7782


−2.8105
−0.0515
22.7782
2.4924
−0.2186
22.7782


2.4347
−0.1813
23.5918
−2.7781
−0.0640
23.5918


2.4350
−0.1733
23.5918
−2.7779
−0.0650
23.5918


2.4338
−0.1626
23.5918
−2.7775
−0.0670
23.5918


2.4298
−0.1499
23.5918
−2.7762
−0.0711
23.5918


2.4214
−0.1361
23.5918
−2.7725
−0.0787
23.5918


2.4053
−0.1219
23.5918
−2.7644
−0.0891
23.5918


2.3793
−0.1128
23.5918
−2.7453
−0.1034
23.5918


2.3449
−0.1071
23.5918
−2.7161
−0.1155
23.5918


2.3032
−0.1001
23.5918
−2.6749
−0.1239
23.5918


2.2536
−0.0918
23.5918
−2.6224
−0.1283
23.5918


2.1955
−0.0822
23.5918
−2.5540
−0.1318
23.5918


2.1270
−0.0709
23.5918
−2.4751
−0.1343
23.5918


2.0477
−0.0579
23.5918
−2.3909
−0.1359
23.5918


1.9580
−0.0432
23.5918
−2.2961
−0.1368
23.5918


1.8576
−0.0270
23.5918
−2.1908
−0.1376
23.5918


1.7466
−0.0094
23.5918
−2.0750
−0.1385
23.5918


1.6250
0.0095
23.5918
−1.9538
−0.1396
23.5918


1.4981
0.0287
23.5918
−1.8275
−0.1407
23.5918


1.3657
0.0481
23.5918
−1.6958
−0.1420
23.5918


1.2280
0.0675
23.5918
−1.5589
−0.1434
23.5918


1.0850
0.0868
23.5918
−1.4167
−0.1450
23.5918


0.9364
0.1060
23.5918
−1.2692
−0.1464
23.5918


0.7823
0.1248
23.5918
−1.1166
−0.1478
23.5918


0.6229
0.1432
23.5918
−0.9586
−0.1491
23.5918


0.4633
0.1603
23.5918
−0.8006
−0.1507
23.5918


0.3035
0.1762
23.5918
−0.6426
−0.1527
23.5918


0.1437
0.1908
23.5918
−0.4847
−0.1550
23.5918


−0.0161
0.2042
23.5918
−0.3267
−0.1577
23.5918


−0.1762
0.2162
23.5918
−0.1687
−0.1609
23.5918


−0.3364
0.2267
23.5918
−0.0108
−0.1643
23.5918


−0.4967
0.2355
23.5918
0.1472
−0.1681
23.5918


−0.6571
0.2426
23.5918
0.3051
−0.1722
23.5918


−0.8175
0.2477
23.5918
0.4630
−0.1764
23.5918


−0.9778
0.2505
23.5918
0.6210
−0.1808
23.5918


−1.1384
0.2507
23.5918
0.7789
−0.1852
23.5918


−1.2936
0.2482
23.5918
0.9316
−0.1894
23.5918


−1.4434
0.2430
23.5918
1.0790
−0.1937
23.5918


−1.5876
0.2352
23.5918
1.2211
−0.1979
23.5918


−1.7263
0.2247
23.5918
1.3580
−0.2020
23.5918


−1.8595
0.2118
23.5918
1.4896
−0.2060
23.5918


−1.9870
0.1965
23.5918
1.6159
−0.2099
23.5918


−2.1089
0.1787
23.5918
1.7370
−0.2138
23.5918


−2.2249
0.1588
23.5918
1.8476
−0.2174
23.5918


−2.3299
0.1379
23.5918
1.9476
−0.2208
23.5918


−2.4239
0.1163
23.5918
2.0370
−0.2239
23.5918


−2.5067
0.0945
23.5918
2.1160
−0.2269
23.5918


−2.5835
0.0712
23.5918
2.1844
−0.2294
23.5918


−2.6492
0.0478
23.5918
2.2423
−0.2317
23.5918


−2.6984
0.0271
23.5918
2.2917
−0.2338
23.5918


−2.7354
0.0056
23.5918
2.3333
−0.2355
23.5918


−2.7596
−0.0155
23.5918
2.3675
−0.2369
23.5918


−2.7732
−0.0353
23.5918
2.3946
−0.2332
23.5918


−2.7777
−0.0479
23.5918
2.4128
−0.2225
23.5918


−2.7787
−0.0564
23.5918
2.4236
−0.2108
23.5918


−2.7786
−0.0607
23.5918
2.4300
−0.1993
23.5918


−2.7783
−0.0629
23.5918
2.4334
−0.1892
23.5918


2.3755
−0.1547
24.4053
−2.7460
−0.0737
24.4053


2.3757
−0.1468
24.4053
−2.7458
−0.0748
24.4053


2.3745
−0.1363
24.4053
−2.7453
−0.0768
24.4053


2.3706
−0.1237
24.4053
−2.7441
−0.0807
24.4053


2.3628
−0.1101
24.4053
−2.7407
−0.0884
24.4053


2.3475
−0.0956
24.4053
−2.7330
−0.0989
24.4053


2.3222
−0.0855
24.4053
−2.7149
−0.1138
24.4053


2.2885
−0.0799
24.4053
−2.6866
−0.1269
24.4053


2.2474
−0.0732
24.4053
−2.6466
−0.1365
24.4053


2.1986
−0.0652
24.4053
−2.5951
−0.1423
24.4053


2.1414
−0.0558
24.4053
−2.5279
−0.1472
24.4053


2.0740
−0.0447
24.4053
−2.4504
−0.1511
24.4053


1.9960
−0.0322
24.4053
−2.3676
−0.1538
24.4053


1.9077
−0.0180
24.4053
−2.2744
−0.1559
24.4053


1.8089
−0.0023
24.4053
−2.1708
−0.1577
24.4053


1.6997
0.0147
24.4053
−2.0569
−0.1596
24.4053


1.5801
0.0328
24.4053
−1.9378
−0.1613
24.4053


1.4552
0.0513
24.4053
−1.8135
−0.1630
24.4053


1.3249
0.0698
24.4053
−1.6841
−0.1646
24.4053


1.1894
0.0884
24.4053
−1.5495
−0.1662
24.4053


1.0485
0.1069
24.4053
−1.4097
−0.1678
24.4053


0.9024
0.1251
24.4053
−1.2647
−0.1689
24.4053


0.7508
0.1431
24.4053
−1.1145
−0.1698
24.4053


0.5939
0.1605
24.4053
−0.9591
−0.1704
24.4053


0.4369
0.1767
24.4053
−0.8038
−0.1711
24.4053


0.2799
0.1917
24.4053
−0.6484
−0.1718
24.4053


0.1228
0.2055
24.4053
−0.4931
−0.1729
24.4053


−0.0342
0.2178
24.4053
−0.3377
−0.1742
24.4053


−0.1912
0.2288
24.4053
−0.1823
−0.1758
24.4053


−0.3483
0.2383
24.4053
−0.0270
−0.1775
24.4053


−0.5052
0.2462
24.4053
0.1283
−0.1795
24.4053


−0.6621
0.2522
24.4053
0.2836
−0.1816
24.4053


−0.8191
0.2564
24.4053
0.4391
−0.1837
24.4053


−0.9761
0.2582
24.4053
0.5944
−0.1859
24.4053


−1.1330
0.2575
24.4053
0.7497
−0.1880
24.4053


−1.2846
0.2540
24.4053
0.8999
−0.1901
24.4053


−1.4311
0.2479
24.4053
1.0449
−0.1921
24.4053


−1.5722
0.2391
24.4053
1.1847
−0.1940
24.4053


−1.7081
0.2278
24.4053
1.3193
−0.1960
24.4053


−1.8388
0.2140
24.4053
1.4488
−0.1978
24.4053


−1.9642
0.1978
24.4053
1.5731
−0.1997
24.4053


−2.0844
0.1791
24.4053
1.6921
−0.2014
24.4053


−2.1992
0.1582
24.4053
1.8009
−0.2031
24.4053


−2.3037
0.1361
24.4053
1.8993
−0.2047
24.4053


−2.3970
0.1135
24.4053
1.9873
−0.2062
24.4053


−2.4793
0.0904
24.4053
2.0649
−0.2077
24.4053


−2.5555
0.0659
24.4053
2.1322
−0.2090
24.4053


−2.6205
0.0414
24.4053
2.1892
−0.2102
24.4053


−2.6692
0.0195
24.4053
2.2379
−0.2112
24.4053


−2.7053
−0.0028
24.4053
2.2788
−0.2120
24.4053


−2.7287
−0.0246
24.4053
2.3124
−0.2128
24.4053


−2.7417
−0.0449
24.4053
2.3384
−0.2069
24.4053


−2.7458
−0.0576
24.4053
2.3555
−0.1954
24.4053


−2.7466
−0.0662
24.4053
2.3653
−0.1836
24.4053


−2.7464
−0.0704
24.4053
2.3712
−0.1722
24.4053


−2.7461
−0.0726
24.4053
2.3743
−0.1624
24.4053


2.2997
−0.1230
25.4454
−2.7048
−0.0843
25.4454


2.2999
−0.1152
25.4454
−2.7047
−0.0854
25.4454


2.2987
−0.1050
25.4454
−2.7042
−0.0874
25.4454


2.2951
−0.0926
25.4454
−2.7031
−0.0913
25.4454


2.2876
−0.0791
25.4454
−2.6999
−0.0988
25.4454


2.2733
−0.0644
25.4454
−2.6928
−0.1094
25.4454


2.2492
−0.0530
25.4454
−2.6756
−0.1247
25.4454


2.2162
−0.0475
25.4454
−2.6486
−0.1389
25.4454


2.1760
−0.0411
25.4454
−2.6098
−0.1501
25.4454


2.1282
−0.0335
25.4454
−2.5597
−0.1574
25.4454


2.0722
−0.0245
25.4454
−2.4942
−0.1639
25.4454


2.0061
−0.0139
25.4454
−2.4184
−0.1694
25.4454


1.9297
−0.0018
25.4454
−2.3375
−0.1736
25.4454


1.8432
0.0117
25.4454
−2.2464
−0.1770
25.4454


1.7464
0.0266
25.4454
−2.1451
−0.1799
25.4454


1.6395
0.0429
25.4454
−2.0338
−0.1828
25.4454


1.5224
0.0602
25.4454
−1.9173
−0.1853
25.4454


1.3999
0.0777
25.4454
−1.7958
−0.1876
25.4454


1.2725
0.0953
25.4454
−1.6692
−0.1896
25.4454


1.1397
0.1129
25.4454
−1.5375
−0.1914
25.4454


1.0017
0.1303
25.4454
−1.4008
−0.1928
25.4454


0.8586
0.1475
25.4454
−1.2590
−0.1937
25.4454


0.7102
0.1642
25.4454
−1.1121
−0.1939
25.4454


0.5564
0.1803
25.4454
−0.9601
−0.1939
25.4454


0.4026
0.1952
25.4454
−0.8081
−0.1933
25.4454


0.2487
0.2092
25.4454
−0.6562
−0.1928
25.4454


0.0947
0.2218
25.4454
−0.5043
−0.1925
25.4454


−0.0595
0.2331
25.4454
−0.3523
−0.1922
25.4454


−0.2137
0.2430
25.4454
−0.2004
−0.1919
25.4454


−0.3680
0.2514
25.4454
−0.0485
−0.1916
25.4454


−0.5224
0.2580
25.4454
0.1035
−0.1915
25.4454


−0.6769
0.2628
25.4454
0.2554
−0.1913
25.4454


−0.8314
0.2657
25.4454
0.4074
−0.1911
25.4454


−0.9860
0.2662
25.4454
0.5593
−0.1908
25.4454


−1.1405
0.2641
25.4454
0.7113
−0.1905
25.4454


−1.2898
0.2592
25.4454
0.8582
−0.1901
25.4454


−1.4339
0.2515
25.4454
1.0000
−0.1895
25.4454


−1.5726
0.2412
25.4454
1.1368
−0.1889
25.4454


−1.7060
0.2284
25.4454
1.2684
−0.1882
25.4454


−1.8339
0.2132
25.4454
1.3951
−0.1876
25.4454


−1.9563
0.1955
25.4454
1.5166
−0.1868
25.4454


−2.0731
0.1755
25.4454
1.6331
−0.1862
25.4454


−2.1844
0.1534
25.4454
1.7394
−0.1856
25.4454


−2.2849
0.1303
25.4454
1.8357
−0.1850
25.4454


−2.3746
0.1067
25.4454
1.9218
−0.1846
25.4454


−2.4536
0.0828
25.4454
1.9977
−0.1844
25.4454


−2.5266
0.0572
25.4454
2.0636
−0.1842
25.4454


−2.5886
0.0320
25.4454
2.1193
−0.1841
25.4454


−2.6349
0.0095
25.4454
2.1670
−0.1840
25.4454


−2.6689
−0.0136
25.4454
2.2070
−0.1840
25.4454


−2.6904
−0.0360
25.4454
2.2399
−0.1837
25.4454


−2.7017
−0.0562
25.4454
2.2650
−0.1761
25.4454


−2.7050
−0.0688
25.4454
2.2811
−0.1639
25.4454


−2.7056
−0.0771
25.4454
2.2904
−0.1518
25.4454


−2.7053
−0.0812
25.4454
2.2959
−0.1403
25.4454


−2.7050
−0.0833
25.4454
2.2986
−0.1305
25.4454


2.2569
−0.1056
26.0323
−2.6817
−0.0900
26.0323


2.2571
−0.0980
26.0323
−2.6815
−0.0909
26.0323


2.2559
−0.0879
26.0323
−2.6811
−0.0929
26.0323


2.2524
−0.0757
26.0323
−2.6799
−0.0968
26.0323


2.2452
−0.0622
26.0323
−2.6768
−0.1043
26.0323


2.2314
−0.0475
26.0323
−2.6699
−0.1149
26.0323


2.2080
−0.0354
26.0323
−2.6534
−0.1304
26.0323


2.1754
−0.0298
26.0323
−2.6270
−0.1450
26.0323


2.1357
−0.0236
26.0323
−2.5889
−0.1570
26.0323


2.0884
−0.0162
26.0323
−2.5397
−0.1654
26.0323


2.0331
−0.0075
26.0323
−2.4750
−0.1727
26.0323


1.9678
0.0029
26.0323
−2.4003
−0.1790
26.0323


1.8924
0.0146
26.0323
−2.3204
−0.1839
26.0323


1.8069
0.0277
26.0323
−2.2306
−0.1880
26.0323


1.7113
0.0424
26.0323
−2.1306
−0.1916
26.0323


1.6056
0.0582
26.0323
−2.0206
−0.1950
26.0323


1.4898
0.0750
26.0323
−1.9056
−0.1979
26.0323


1.3689
0.0921
26.0323
−1.7856
−0.2005
26.0323


1.2429
0.1091
26.0323
−1.6607
−0.2027
26.0323


1.1117
0.1262
26.0323
−1.5306
−0.2045
26.0323


0.9754
0.1431
26.0323
−1.3957
−0.2059
26.0323


0.8340
0.1595
26.0323
−1.2557
−0.2067
26.0323


0.6873
0.1755
26.0323
−1.1107
−0.2067
26.0323


0.5355
0.1909
26.0323
−0.9607
−0.2060
26.0323


0.3835
0.2051
26.0323
−0.8107
−0.2049
26.0323


0.2314
0.2183
26.0323
−0.6607
−0.2037
26.0323


0.0792
0.2303
26.0323
−0.5107
−0.2026
26.0323


−0.0731
0.2411
26.0323
−0.3607
−0.2014
26.0323


−0.2255
0.2504
26.0323
−0.2107
−0.2001
26.0323


−0.3778
0.2581
26.0323
−0.0607
−0.1987
26.0323


−0.5304
0.2641
26.0323
0.0893
−0.1974
26.0323


−0.6831
0.2682
26.0323
0.2393
−0.1960
26.0323


−0.8357
0.2704
26.0323
0.3893
−0.1945
26.0323


−0.9884
0.2703
26.0323
0.5393
−0.1931
26.0323


−1.1409
0.2674
26.0323
0.6893
−0.1915
26.0323


−1.2884
0.2618
26.0323
0.8342
−0.1897
26.0323


−1.4307
0.2534
26.0323
0.9743
−0.1878
26.0323


−1.5677
0.2423
26.0323
1.1093
−0.1857
26.0323


−1.6993
0.2289
26.0323
1.2393
−0.1837
26.0323


−1.8256
0.2130
26.0323
1.3643
−0.1817
26.0323


−1.9465
0.1948
26.0323
1.4842
−0.1796
26.0323


−2.0617
0.1741
26.0323
1.5992
−0.1775
26.0323


−2.1714
0.1515
26.0323
1.7042
−0.1757
26.0323


−2.2705
0.1279
26.0323
1.7992
−0.1740
26.0323


−2.3589
0.1037
26.0323
1.8842
−0.1726
26.0323


−2.4366
0.0792
26.0323
1.9592
−0.1715
26.0323


−2.5083
0.0530
26.0323
2.0242
−0.1704
26.0323


−2.5693
0.0273
26.0323
2.0791
−0.1697
26.0323


−2.6148
0.0044
26.0323
2.1261
−0.1691
26.0323


−2.6479
−0.0191
26.0323
2.1657
−0.1686
26.0323


−2.6684
−0.0418
26.0323
2.1981
−0.1678
26.0323


−2.6790
−0.0620
26.0323
2.2229
−0.1595
26.0323


−2.6820
−0.0746
26.0323
2.2389
−0.1468
26.0323


−2.6824
−0.0827
26.0323
2.2480
−0.1347
26.0323


−2.6821
−0.0868
26.0323
2.2532
−0.1232
26.0323


−2.6818
−0.0889
26.0323
2.2559
−0.1133
26.0323









It will be appreciated that the airfoil 105 disclosed in the above scalable TABLE 1 may be non-scaled, scaled up, or scaled down geometrically for use in other or similar turbine/compressor designs. Consequently, the coordinate values set forth in TABLE 1 may be non-scaled, scaled upwardly, or scaled downwardly such that the general airfoil profile shape remains unchanged. A scaled version of the coordinates in TABLE 1 would be represented by X, Y, and Z coordinate values of TABLE 1, with the X, Y, and Z non-dimensional coordinate values converted to inches or millimeters (or any suitable dimensional system), multiplied or divided by a constant number. The constant number may be a fraction, decimal fraction, integer or mixed number.


The disclosed airfoil shape thus may increase reliability and may be specific to the machine conditions and specifications. The airfoil shape provides a unique profile to achieve (1) interaction between other stages in the compressor; (2) aerodynamic efficiency; and (3) normalized aerodynamic and mechanical blade or vane loadings. The disclosed loci of points allow the gas turbine and the compressor or any other suitable turbine/compressor to run in an efficient, safe and smooth manner. As also noted, any scale of the disclosed airfoil may be adopted as long as (1) interaction between other stages in the compressor; (2) aerodynamic efficiency; and (3) normalized aerodynamic and mechanical blade loadings are maintained in the scaled compressor.


The airfoil 105 described herein thus improves overall compressor efficiency. Specifically, the airfoil 105 may provide the desired turbine/compressor efficiency lapse rate (ISO, hot, cold, part load, etc.). The airfoil 105 also meets all aeromechanics, loading and stress requirements.


It should be apparent that the foregoing relates only to certain embodiments of the present application and the resultant patent. Numerous changes and modifications may be made herein by one of ordinary skill in the art without departing from the general spirit and scope of the invention as defined by the following claims and the equivalents thereof.

Claims
  • 1. An article of manufacture having a nominal airfoil profile substantially in accordance with Cartesian coordinate values of X, Y, and Z set forth in scalable TABLE 1, wherein the Cartesian coordinate values of X, Y, and Z are non-dimensional values convertible to dimensional distances by multiplying the Cartesian coordinate values of X, Y, and Z by a number, and wherein X and Y are coordinates which, when connected by continuing arcs, define airfoil profile sections at each Z height, the airfoil profile sections at each Z height being joined with one another to form a complete airfoil shape.
  • 2. The article of manufacture according to claim 1, wherein the article of manufacture comprises an airfoil.
  • 3. The article of manufacture according to claim 1, wherein the article of manufacture comprises an inlet guide vane configured for use with a compressor.
  • 4. The article of manufacture according to claim 1, wherein the airfoil shape lies in an envelope within at least one of: +/−5% of a chord length in a direction normal to an airfoil surface location and +/−0.25 inches (about 6.36 millimeters) in a direction normal to an airfoil surface location.
  • 5. The article of manufacture according to claim 1, wherein the number, used to convert the non-dimensional values to dimensional distances, is at least one of a fraction, a decimal fraction, an integer, and a mixed number.
  • 6. The article of manufacture according to claim 1, wherein a height of the article of manufacture is about 1 inch to about 50 inches (about 127 centimeters to about 76.2 centimeters).
  • 7. An article of manufacture having a suction-side nominal airfoil profile substantially in accordance with suction-side Cartesian coordinate values of X, Y, and Z set forth in scalable TABLE 1, wherein the Cartesian coordinate values of X, Y, and Z are non-dimensional values convertible to dimensional distances by multiplying the Cartesian coordinate values of X, Y, and Z by a number, and wherein X and Y are coordinates which, when connected by continuing arcs, define airfoil profile sections at each Z height, the airfoil profile sections at each Z height being joined with one another to form a complete suction-side airfoil shape, the X, Y, and Z coordinate values being scalable as a function of the number to provide at least one of a non-scaled, scaled-up, and scaled-down airfoil profile.
  • 8. The article of manufacture according to claim 7, wherein the article of manufacture comprises an airfoil.
  • 9. The article of manufacture according to claim 7, wherein the article of manufacture comprises an inlet guide vane configured for use with a compressor.
  • 10. The article of manufacture according to claim 7, wherein the suction-side airfoil shape lies in an envelope within at least one of: +/−5% of a chord length in a direction normal to a suction-side airfoil surface location and +/−0.25 inches (about 6.36 millimeters) in a direction normal to a suction-side airfoil surface location.
  • 11. The article of manufacture according to claim 7, wherein the number, used to convert the non-dimensional values to dimensional distances, is at least one of a fraction, a decimal fraction, an integer, and a mixed number.
  • 12. The article of manufacture according to claim 7, wherein a height of the article of manufacture is about 1 inch to about 50 inches (about 2.54 centimeters to about 127 centimeters).
  • 13. The article of manufacture according to claim 7, further comprising the article of manufacture having a pressure-side nominal airfoil profile substantially in accordance with pressure-side Cartesian coordinate values of X, Y, and Z set forth in the scalable table, wherein the Cartesian coordinate values of X, Y, and Z are non-dimensional values convertible to dimensional distances by multiplying the Cartesian coordinate values of X, Y, and Z by a number, and wherein X and Y are coordinates which, when connected by continuing arcs, define airfoil profile sections at each Z height, the airfoil profile sections at each Z height being joined with one another to form a complete pressure-side airfoil shape, the X, Y, and Z values being scalable as a function of the number to provide at least one of a non-scaled, scaled-up, and scaled-down airfoil.
  • 14. A compressor comprising a plurality of inlet guide vanes, each of the inlet guide vanes including an airfoil having a suction-side airfoil shape, the airfoil having a nominal profile substantially in accordance with suction-side Cartesian coordinate values of X, Y, and Z set forth in scalable TABLE 1, wherein the Cartesian coordinate values of X, Y, and Z are non-dimensional values convertible to dimensional distances by multiplying the Cartesian coordinate values of X, Y, and Z by a number, and wherein X and Y are coordinates which, when connected by continuing arcs, define airfoil profile sections at each Z height, the airfoil profile sections at each Z height being joined with one another to form a complete suction-side airfoil shape.
  • 15. The compressor according to claim 14, wherein the suction-side airfoil shape lies in an envelope within at least one of: +/−5% of a chord length in a direction normal to a suction-side airfoil surface location and +/−0.25 inches (about 6.36 millimeters) in a direction normal to a suction-side airfoil surface location.
  • 16. The compressor according to claim 14, wherein the number, used to convert the non-dimensional values to dimensional distances, is at least one of a fraction, a decimal fraction, an integer, and a mixed number.
  • 17. The compressor according to claim 14, wherein a height of each inlet guide vane is about 1 inch to about 50 inches (about 2.54 centimeters to about 127 centimeters).
  • 18. The compressor according to claim 14, further comprising each of the plurality of inlet guide vanes having a pressure-side nominal airfoil profile substantially in accordance with pressure-side Cartesian coordinate values of X, Y, and Z set forth in the scalable table, wherein the Cartesian coordinate values of X, Y, and Z are non-dimensional values convertible to dimensional distances by multiplying the Cartesian coordinate values of X, Y, and Z by the number, and wherein X and Y are coordinates which, when connected by continuing arcs, define airfoil profile sections at each Z height, the airfoil profile sections at each Z height being joined with one another to form a complete pressure-side airfoil shape.
  • 19. The compressor according to claim 18, wherein the pressure-side airfoil shape lies in an envelope within at least one of: +/−5% of a chord length in a direction normal to a pressure-side airfoil surface location and +/−0.25 inches (about 6.36 millimeters) in a direction normal to a pressure-side airfoil surface location.
  • 20. The compressor according to claim 18, wherein the number, used to convert the non-dimensional values to dimensional distances, is at least one of a fraction, a decimal fraction, an integer, and a mixed number.
RELATED APPLICATIONS

The present application is related to the following commonly assigned applications: Ser. No. ______ (Docket No. 277752 (1011)); Ser. No. ______ (Docket No. 277754 (1013)); Ser. No. ______ (Docket No. 277765 (1014)); Ser. No. ______ (Docket No. 277913 (1016)); Ser. No. ______ (Docket No. 278957 (1015)); Ser. No. ______ (Docket No. 278976 (1017)); Ser. No. ______ (Docket No. 279003 (1018)); Ser. No. ______ (Docket No. 279149 (1019)); Ser. No. ______ (Docket No. 280088 (1020)); Ser. No. ______ (Docket No. 280098 (1021)), filed concurrently herewith. The disclosures of these applications are incorporated herein by reference in full and made a part hereof.