Internal core profile for a turbine bucket

Information

  • Patent Grant
  • 6761535
  • Patent Number
    6,761,535
  • Date Filed
    Monday, April 28, 2003
    21 years ago
  • Date Issued
    Tuesday, July 13, 2004
    20 years ago
Abstract
Second stage turbine buckets have internal core profiles substantially in accordance with Cartesian coordinate values of X, Y and Z set forth Table I wherein X and Y values are in inches and the Z values are non-dimensional values from 0 to 1 convertible to Z distances in inches by multiplying the Z values by the height of the bucket in inches. The X and Y values are distances which, when connected by smooth continuing arcs, define internal core profile sections at each distance Z. The profile sections at each distance Z are joined smoothly to one another to form a complete internal core profile. The X, Y and Z distances may be scalable as a function of the same constant or number to provide a scaled up or scaled down internal core profile. The nominal internal core profile given by the X, Y and Z distances lies within an envelope of ±0.039 inches in directions normal to any internal core surface location.
Description




BACKGROUND OF THE INVENTION




The present invention relates to a bucket of a stage of a gas turbine and particularly relates to a second stage turbine bucket internal core profile.




Many system requirements must be met for each stage of the hot gas path section of a gas turbine in order to meet design goals including overall improved efficiency and airfoil loading. Particularly, the buckets of the second stage of the turbine section must meet the operating requirements for that particular stage and also meet requirements for bucket cooling area and wall thickness. Internal cooling requirements must be optimized, necessitating a unique internal core profile to meet stage performance requirements enabling the turbine to operate in a safe, efficient and smooth manner.




BRIEF DESCRIPTION OF THE INVENTION




In accordance with a preferred embodiment of the present invention there is provided a unique internal core profile for a bucket of a gas turbine, preferably the second stage bucket, that enhances the performance of the gas turbine. It will be appreciated that the external airfoil shape of the second stage bucket airfoil improves the interaction between various stages of the turbine, and affords improved aerodynamic efficiency and mechanical loading. The external airfoil profile for the preferred bucket is set forth in a companion patent application Ser. No. 10/320,655, filed Dec. 17, 2002, titled “Airfoil Shape for a Turbine Bucket”, the disclosure of which is incorporated by reference. Concomitantly, the internal core shape is also significant for structural reasons as well as to optimize internal cooling with appropriate wall thickness.




The bucket internal core profile is defined by a unique loci of points which achieves the necessary structural and cooling requirements whereby improved turbine performance is obtained. This unique loci of points define the internal nominal core profile and are identified by the X, Y and Z Cartesian coordinates of Table I which follows. The 3700 points for the coordinate values shown in Table I are for a cold, i.e., room temperature bucket at various cross-sections of the bucket airfoil along its length. The positive X, Y and Z directions are axial toward the exhaust end of the turbine, tangential in the direction of engine rotation looking aft and radially outwardly toward the bucket tip, respectively. The X and Y coordinates are given, in distance dimensions, e.g., units of inches, and are joined smoothly at each Z location to form a smooth continuous internal core profile cross-section. The Z coordinates are given in non-dimensionalized form from 0 to 1. By multiplying the bucket height dimension, e.g., in inches, by the non-dimensional Z value of Table I, the internal core profile, of the bucket is obtained. Each defined internal core profile section in the X, Y plane is joined smoothly with adjacent profile sections in the z direction to form the complete internal bucket core profile.




The preferred second stage turbine bucket includes side wall surfaces with ribs extending internally between and formed integrally with the side walls. The ribs are spaced from one another and define with internal wall surfaces of the bucket side walls internal cooling passages, preferably serpentine in configuration, along the length of the bucket. The smooth continuing arcs or lines extending between the X, Y coordinates to define each profile section at each distance Z extend along the internal wall surfaces of the cooling passages and between adjacent passages along each of the side walls. Consequently, each internal core profile section has envelope portions which pass through the juncture between the ribs and each of the side walls as well as along the side walls of the cooling passages. These internal core profile sections are generally airfoil in shape at least in the airfoil portion of the bucket.




It will be appreciated that as each bucket heats up in use, the internal core profile will change as a result of mechanical loading and temperature. Thus, the cold or room temperature profile is given by the X, Y and Z coordinates for manufacturing purposes. Because a manufactured internal bucket core profile may be different from the nominal profile given by the following table, a distance of plus or minus 0.039 inches from the nominal profile in a direction normal to any surface location along the nominal profile defines a profile envelope for this internal bucket core profile. The profile is robust to this variation without impairment of the mechanical, cooling and aerodynamic functions of the bucket.




It will also be appreciated that the bucket can be scaled up or scaled down geometrically for introduction into similar turbine designs. Consequently, the X and Y coordinates in inches and the non-dimensional Z coordinates, when converted to inches, of the internal nominal core profile given below may be a function of the same constant or number. That is, the X, Y and Z coordinate values in inches may be multiplied or divided by the same constant or number to provide a scaled up or scaled down version of the internal bucket core profile while retaining the core profile section shape.




In a preferred embodiment according to the present invention, there is provided a turbine bucket including an airfoil, a platform, a shank and a dovetail having an internal nominal core profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in Table I wherein the Z values are non-dimensional values from 0 to 1 convertible to Z distances in inches by multiplying the Z values by a height of the bucket in inches, and wherein X and Y are distances in inches which, when connected by smooth continuing arcs, define internal core profile sections at each distance Z along the bucket, the profile sections at the Z distances being joined smoothly with one another to form the bucket internal core profile.




In a further preferred embodiment according to the present invention, there is provided a turbine bucket including an airfoil, a platform, a shank and a dovetail, the bucket having an internal nominal core profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in Table I wherein the Z values are non-dimensional values from 0 to 1 convertible to Z distances in inches by multiplying the Z values by a height of the bucket in inches, and wherein X and Y are distances in inches which, when connected by smooth continuing arcs, define internal core profile sections at each Z distance along the bucket, the profile sections at the Z distances being joined smoothly with one another to form the bucket internal core profile, the X, Y and Z distances being scalable as a function of the same constant or number to provide a scaled-up or scaled-down internal core profile.




In a further preferred embodiment according to the present invention, there is provided a turbine comprising a turbine wheel having a plurality of buckets, each of the buckets including an airfoil, a platform, a shank and a dovetail, each bucket having an internal nominal core profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in Table I wherein the Z values are non-dimensional values from 0 to 1 convertible to Z distances in inches by multiplying the Z values by a height of the bucket in inches, and wherein X and Y are distances in inches which, when connected by smooth continuing arcs, define internal core profile sections at each distance Z along the bucket, the profile sections at the Z distances being joined smoothly with one another to form the bucket internal core profile.











BRIEF DESCRIPTION OF THE DRAWINGS





FIG. 1

is a schematic representation of a hot gas path through multiple stages of a gas turbine and illustrates a second stage bucket airfoil;





FIG. 2

is a perspective view of a bucket according to a preferred embodiment of the present invention with the bucket illustrated in conjunction with its platform, shank and dovetail;





FIG. 3

is a radial inward view of the bucket of FIG.


2


and associated airfoil and platform;





FIGS. 4

,


5


and


6


are cross-sectional views taken at about 85% span, pitch and 5% span locations, respectively, along the height of the airfoil illustrating the cooling passages and representative internal core profile sections of the bucket;





FIGS. 7 and 8

are respective external side elevational views of the bucket having the external surfaces illustrated by dashed lines and the internal core profile illustrated by the full lines; and





FIGS. 9 and 10

are respective perspective views of the bucket with its external surface illustrated by the dashed lines and the internal core profile illustrated by the full lines.











DETAILED DESCRIPTION OF THE INVENTION




Referring now to the drawings, particularly to

FIG. 1

, there is illustrated a hot gas path, generally designated


10


, of a gas turbine


12


including a plurality of turbine stages. Three stages are illustrated. For example, the first stage comprises a plurality of circumferentially spaced nozzles


14


and buckets


16


. The nozzles are circumferentially spaced one from the other and fixed about the axis of the rotor. The first stage buckets


16


, of course, are mounted on the turbine rotor


17


. A second stage of the turbine


12


is also illustrated, including a plurality of circumferentially spaced nozzles


18


and a plurality of circumferentially spaced buckets


20


mounted on the rotor


17


. The third stage is also illustrated including a plurality of circumferentially spaced nozzles


22


and buckets


24


mounted on rotor


17


. It will be appreciated that the nozzles and buckets lie in the hot gas path


10


of the turbine


12


, the direction of flow of the hot gas through the hot gas path


10


being indicated by the arrow


26


.




Referring to

FIG. 2

, it will be appreciated that the buckets, for example, the buckets


20


of the second stage are mounted on a rotor wheel, not shown, forming part of rotor


17


and include platforms


30


, shanks


37


and dovetails


34


. Thus, each bucket


20


is provided with a substantially or near axial entry dovetail


34


for connection with a complementary-shaped mating dovetail, not shown, on the rotor wheel


17


. An axial entry dovetail, however, may be provided. It will also be appreciated that each bucket


20


has an airfoil


32


as illustrated in

FIG. 2-3

. Thus, each of the buckets


20


has an external bucket airfoil profile at any cross-section from the bucket root


31


to the bucket tip


33


in the shape of an airfoil


32


as illustrated in

FIGS. 4-6

. In this preferred embodiment of a second stage turbine bucket, there are sixty (60) bucket airfoils. While not forming part of the present invention, the second stage bucket airfoil


32


includes a plurality of internal, generally serpentine-shaped, cooling passages


35


(

FIGS. 4-6

) forming one or more air cooling circuits. These air cooling circuits exhaust r from the airfoil


32


into the hot gas path at exit locations, not shown, along the airfoil


32


.




More particularly, the airfoil


32


includes convex and concave external wall surfaces, i.e., pressure and suction surfaces


42


and


44


, respectively (FIG.


3


), which, with an internal core profile


40


(FIGS.


4


-


6


), define an airfoil wall thickness “t.” The airfoil


32


also includes a plurality of ribs


46


extending between or projecting from opposite side walls


48


of the airfoil. Ribs


46


are spaced from one another between leading and trailing edges


52


and


54


of the bucket, respectively, to define, with internal wall surface portions


49


of bucket side walls


48


, the plurality of internal generally serpentine-shaped cooling passages


35


.




To define the internal core shape of each second stage bucket, there is a unique set or loci of points in space that meet the stage requirements, bucket cooling area and wall thickness and can be manufactured. This unique loci of points, which defines the internal bucket core profile


40


, comprises a set of 3700 points relative to the axis of rotation of the turbine. A Cartesian coordinate system of X, Y and Z values given in Table 1 below defines this internal core profile


40


of the bucket airfoil


32


at various locations along its length. The coordinate values for the X and Y coordinates are set forth in inches in Table I although other units of dimensions may be used when the values are appropriately converted. The Z values are set forth in Table I in non-dimensional form from 0 to 1. To convert the Z value to a Z coordinate value, e.g., in inches, the non-dimensional Z value given in the table is multiplied by the height of the bucket in inches. The height of the bucket extends from the root of the dovetail


34


connection to the tip cap


33


of the airfoil. The Cartesian coordinate system has orthogonally-related X, Y and Z axes and the X axis lies parallel to the turbine 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, looking aft, and the positive Z coordinate value is radially outwardly toward the bucket tip.




By defining X and Y coordinate values at selected locations in a Z direction normal to the X, Y plane, the internal core profile


40


of the bucket, e.g., the bucket airfoil portion, is illustrated by the dashed lines in

FIGS. 4-6

, at each Z distance along the length of the airfoil can be ascertained. By connecting the X and Y values with smooth continuing arcs, each internal core profile section


40


at each distance Z is fixed. The internal core profiles of the various internal locations between the distances Z are determined by smoothly connecting the adjacent profile sections


40


to one another to form the core profile. These values represent the internal core profiles at ambient, non-operating or non-hot conditions.




The smooth continuing arcs extending between the X, Y coordinates to define each profile section


40


at each distance Z extend along the internal wall surface portions


49


and between adjacent passages


35


along each of the side walls


48


. Thus, each internal core profile


40


has envelope portions which pass through the juncture between the ribs


46


and the side walls


48


as well as along the side walls of the cooling passages. The internal core profile


40


for the bucket


20


is illustrated by the heavy lines in

FIGS. 7-10

and extends into the airfoil


32


, platform


30


and dovetail


34


. The coordinate values of X, Y and Z of Table I are for the internal core profile of the bucket including the airfoil


32


, platform


30


, and dovetail


34


.




The Table I values are generated and shown to three decimal places for determining the internal core profile of the airfoil. There are typical manufacturing tolerances as well as coatings which must be accounted for in the actual internal profile of the airfoil. Accordingly, the values for the profile given in Table I are for a nominal core profile. 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 I below. Accordingly, a distance of ±0.039 inches in a direction normal to any surface location along the internal core profile defines an internal core profile envelope for this particular bucket design and turbine, i.e., a range of variation between measured points on the actual internal core profile at nominal cold or room temperature and the ideal position of those points as given in the Table below at the same temperature. The internal core profile


40


is robust to this range of variation without impairment of mechanical and cooling functions.




The coordinate values given in Table I below provide the preferred nominal internal core profile envelope for bucket


20


.




















TABLE I









X




Y




Z




X




Y




Z




X




Y




Z































13.299




0.221




0.111




14.033




−0.051




0.278




14.809




0.040




0.611






13.089




0.144




0.111




14.078




0.432




0.306




14.567




0.445




0.611






13.385




0.210




0.028




13.978




0.506




0.333




14.909




−0.496




0.611






13.232




0.229




0.056




14.393




−0.087




0.306




14.541




−0.125




0.611






13.096




0.094




0.111




14.136




−0.058




0.278




14.999




−0.625




0.611






13.250




0.226




0.000




14.187




−0.063




0.278




15.073




−0.531




0.611






13.405




0.026




0.028




13.971




−0.055




0.333




14.877




−0.455




0.611






13.148




0.226




0.000




14.088




0.526




0.333




15.113




−0.802




0.611






13.287




0.041




0.111




14.076




−0.053




0.306




14.986




−0.340




0.611






13.132




0.217




0.056




14.025




0.426




0.306




15.085




−0.757




0.611






13.149




0.058




0.056




13.982




−0.048




0.278




15.149




−0.806




0.611






13.149




0.058




0.056




14.308




−0.072




0.333




14.761




0.134




0.611






13.149




0.058




0.083




14.420




0.489




0.333




14.812




−0.372




0.611






13.107




0.192




0.111




14.144




0.532




0.333




14.785




0.087




0.611






13.104




0.080




0.028




14.235




−0.064




0.306




14.711




0.226




0.611






13.334




0.216




0.056




14.473




−0.107




0.333




15.028




−0.669




0.611






13.180




0.234




0.083




14.252




−0.064




0.333




14.499




0.524




0.611






13.199




0.233




0.000




14.341




−0.078




0.306




14.844




−0.413




0.611






13.196




0.233




0.111




14.036




0.325




0.278




15.057




−0.713




0.611






13.405




0.026




0.083




14.242




0.318




0.278




15.008




−0.388




0.611






13.236




0.047




0.111




14.444




0.276




0.278




14.623




−0.190




0.611






13.089




0.147




0.000




14.088




0.326




0.278




14.970




−0.582




0.611






13.283




0.222




0.083




14.028




−0.053




0.333




14.899




−0.150




0.611






13.131




0.062




0.000




14.293




0.312




0.278




15.177




−0.772




0.611






13.149




0.058




0.083




14.312




0.520




0.333




14.453




−0.068




0.611






13.233




0.047




0.000




13.973




0.418




0.306




14.498




−0.096




0.611






13.350




0.214




0.111




14.395




0.402




0.306




15.095




−0.579




0.611






13.334




0.216




0.083




13.921




0.551




0.361




14.336




0.656




0.611






13.149




0.057




0.028




14.417




−0.096




0.361




14.583




−0.157




0.611






13.200




0.051




0.083




13.896




−0.065




0.361




14.964




−0.293




0.611






13.303




0.039




0.056




14.378




0.571




0.361




14.921




−0.197




0.611






13.180




0.234




0.056




13.560




0.363




0.361




13.404




0.433




0.722






13.284




0.041




0.000




13.814




0.506




0.361




13.391




0.380




0.694






13.094




0.096




0.000




14.187




−0.058




0.361




13.395




0.330




0.694






13.438




0.022




0.000




13.659




0.425




0.361




13.440




0.533




0.750






13.088




0.128




0.083




14.245




−0.064




0.361




13.411




0.426




0.694






13.386




0.028




0.000




13.781




−0.082




0.361




13.407




0.384




0.722






13.354




0.032




0.083




14.013




0.056




0.361




13.417




0.489




0.750






13.404




0.207




0.000




14.679




0.354




0.389




13.437




0.470




0.694






13.334




0.216




0.028




14.485




0.524




0.361




13.425




0.290




0.694






13.385




0.210




0.056




14.715




0.308




0.389




13.431




0.545




0.778






13.180




0.234




0.028




14.623




0.418




0.361




13.444




0.600




0.806






13.104




0.080




0.083




14.534




0.492




0.361




13.420




0.441




0.750






13.200




0.051




0.028




14.846




0.117




0.389




13.425




0.478




0.722






13.283




0.222




0.056




14.749




0.262




0.389




13.431




0.498




0.778






13.354




0.032




0.028




14.815




0.166




0.389




13.440




0.553




0.806






13.338




0.034




0.111




14.707




−0.249




0.389




13.435




0.343




0.722






13.405




0.026




0.056




14.843




0.146




0.361




13.599




0.486




0.806






13.303




0.038




0.028




14.956




−0.428




0.361




13.863




0.882




0.806






13.146




0.226




0.111




14.685




−0.209




0.361




13.454




0.456




0.778






13.088




0.128




0.028




14.659




−0.217




0.389




13.825




0.416




0.806






13.251




0.045




0.056




14.511




0.513




0.389




13.514




0.663




0.778






13.335




0.034




0.000




14.557




0.478




0.389




13.705




0.809




0.778






13.200




0.051




0.056




14.809




0.194




0.361




13.504




0.491




0.806






13.099




0.178




0.083




14.875




0.098




0.361




13.689




0.420




0.778






13.401




0.208




0.111




14.580




0.457




0.361




13.842




0.853




0.778






13.104




0.080




0.056




14.740




0.288




0.361




13.682




0.827




0.806






13.247




0.227




0.111




14.968




−0.477




0.389




13.602




0.776




0.806






13.441




0.022




0.111




14.557




−0.161




0.389




13.551




0.489




0.806






13.302




0.220




0.000




14.914




−0.387




0.361




13.816




0.875




0.806






13.354




0.032




0.056




14.755




−0.282




0.389




13.496




0.434




0.778






13.149




0.057




0.028




14.905




0.017




0.389




13.781




0.434




0.806






13.437




0.203




0.028




14.735




−0.238




0.361




13.483




0.626




0.778






13.437




0.204




0.083




14.664




0.376




0.361




13.662




0.786




0.778






13.252




0.045




0.083




14.966




−0.052




0.361




13.462




0.512




0.806






13.390




0.028




0.111




14.872




−0.347




0.361




13.545




0.433




0.778






13.231




0.229




0.028




14.783




0.214




0.389




13.565




0.746




0.806






13.134




0.061




0.111




14.906




0.048




0.361




13.504




0.491




0.806






13.232




0.229




0.083




14.936




−0.002




0.361




13.725




0.847




0.806






13.185




0.053




0.111




14.876




0.067




0.389




13.737




0.451




0.806






13.099




0.178




0.056




14.933




−0.033




0.389




13.455




0.587




0.778






13.181




0.053




0.000




14.600




0.439




0.389




13.641




0.803




0.806






13.252




0.045




0.028




14.609




−0.187




0.389




13.622




0.760




0.778






13.132




0.217




0.083




14.929




−0.434




0.389




13.593




0.432




0.778






13.283




0.222




0.028




14.641




0.397




0.389




13.641




0.428




0.778






13.196




0.233




0.111




14.961




−0.084




0.389




13.828




0.380




0.778






13.132




0.217




0.028




14.802




−0.316




0.389




13.531




0.713




0.806






13.353




0.214




0.000




14.847




−0.353




0.389




13.692




0.467




0.806






13.437




0.203




0.056




14.504




−0.139




0.389




13.583




0.730




0.778






13.088




0.128




0.056




14.889




−0.393




0.389




13.795




0.843




0.778






13.109




0.194




0.000




15.246




−0.848




0.389




13.782




0.396




0.778






13.303




0.039




0.083




15.246




−0.628




0.361




13.499




0.677




0.806






13.099




0.178




0.028




15.294




−0.824




0.389




13.770




0.863




0.806






13.385




0.210




0.083




15.186




−0.555




0.389




13.646




0.479




0.806






13.712




0.170




0.000




15.006




−0.521




0.389




13.874




0.364




0.778






13.539




0.191




0.028




15.155




−0.413




0.361




13.869




0.398




0.806






13.815




−0.024




0.083




15.140




−0.448




0.389




13.547




0.698




0.778






13.744




0.166




0.083




15.104




−0.308




0.361




13.470




0.640




0.806






13.847




0.153




0.028




15.040




−0.239




0.389




13.749




0.829




0.778






13.709




0.170




0.111




15.294




−0.822




0.389




13.496




0.434




0.778






13.764




−0.018




0.083




15.179




−0.466




0.361




13.736




0.409




0.778






13.610




0.001




0.083




15.078




−0.612




0.389




13.963




0.328




0.778






13.657




0.177




0.111




15.267




−0.682




0.361




14.137




0.242




0.778






13.811




0.158




0.111




15.078




−0.256




0.361




14.051




0.288




0.778






13.760




0.164




0.111




15.091




−0.343




0.389




13.939




0.859




0.778






13.508




0.013




0.028




15.254




−0.715




0.389




14.096




0.845




0.806






13.662




−0.006




0.028




15.130




−0.361




0.361




14.291




0.719




0.778






13.559




0.007




0.083




15.176




−0.700




0.361




14.171




0.800




0.778






13.558




0.188




0.000




15.182




−0.751




0.389




14.038




0.311




0.806






13.590




0.185




0.028




15.105




−0.607




0.361




14.293




0.714




0.806






13.814




0.157




0.000




15.148




−0.704




0.389




14.236




0.179




0.806






13.965




0.139




0.111




15.014




−0.187




0.389




13.987




0.855




0.778






13.918




−0.037




0.028




15.202




−0.520




0.361




13.919




0.346




0.778






13.968




0.138




0.000




15.275




−0.769




0.389




14.299




0.137




0.778






13.851




−0.029




0.111




15.113




−0.658




0.389




14.094




0.266




0.778






13.488




0.197




0.028




15.116




−0.396




0.389




14.127




0.820




0.778






13.865




0.151




0.000




15.042




−0.566




0.389




14.253




0.749




0.778






13.642




0.178




0.028




15.163




−0.501




0.389




14.051




0.861




0.806






13.862




0.152




0.111




15.215




−0.799




0.389




13.997




0.335




0.806






13.917




0.144




0.000




14.988




−0.136




0.389




14.257




0.745




0.806






13.456




0.020




0.056




15.066




−0.291




0.389




14.198




0.208




0.806






13.693




0.172




0.056




15.232




−0.661




0.389




14.034




0.847




0.778






13.953




−0.041




0.111




15.209




−0.608




0.389




13.890




0.858




0.778






13.660




0.176




0.000




14.730




−0.218




0.333




14.005




0.873




0.806






13.713




−0.012




0.056




14.541




0.339




0.306




13.955




0.357




0.806






13.867




−0.031




0.028




14.632




0.283




0.306




14.159




0.235




0.806






13.867




−0.031




0.083




14.644




−0.145




0.278




14.081




0.835




0.778






13.744




0.166




0.056




14.696




0.299




0.333




14.178




0.218




0.778






13.744




0.166




0.028




14.922




0.048




0.333




13.911




0.883




0.806






13.815




−0.025




0.028




14.600




−0.140




0.306




13.958




0.880




0.806






13.898




0.147




0.056




14.650




−0.158




0.306




14.119




0.261




0.806






13.508




0.013




0.056




14.541




0.241




0.278




14.310




0.120




0.806






13.899




−0.035




0.000




14.778




−0.248




0.333




14.213




0.776




0.778






13.866




−0.031




0.056




14.521




0.440




0.333




14.008




0.308




0.778






13.848




−0.029




0.000




14.772




0.126




0.278




14.220




0.775




0.806






13.590




0.185




0.083




14.922




0.050




0.306




14.181




0.801




0.806






13.610




0.001




0.028




14.956




−0.386




0.333




13.912




0.378




0.806






13.949




0.141




0.056




14.736




0.259




0.333




14.219




0.192




0.778






13.543




0.009




0.111




14.839




−0.212




0.278




14.139




0.825




0.806






13.693




0.172




0.083




14.824




−0.280




0.333




14.079




0.287




0.806






13.555




0.189




0.111




14.613




0.374




0.333




14.259




0.165




0.778






13.488




0.197




0.056




14.843




−0.247




0.306




14.273




0.150




0.806






13.492




0.016




0.111




14.801




0.154




0.306




14.551




−0.110




0.806






13.949




0.141




0.028




14.568




0.409




0.333




14.422




0.574




0.806






13.795




0.159




0.056




14.544




−0.119




0.278




14.677




−0.253




0.806






13.748




−0.016




0.111




14.813




0.177




0.333




14.522




−0.048




0.778






13.507




0.195




0.000




14.682




−0.190




0.333




14.613




0.300




0.778






13.800




−0.022




0.111




14.588




0.220




0.278




14.657




0.214




0.778






13.713




−0.012




0.083




14.693




−0.160




0.278




14.559




0.380




0.806






13.661




−0.006




0.056




14.850




0.134




0.333




14.417




0.025




0.806






13.642




0.178




0.083




14.497




−0.110




0.306




14.583




−0.145




0.806






13.918




−0.037




0.083




14.861




0.074




0.278




14.391




0.610




0.806






13.914




0.145




0.111




14.494




−0.108




0.278




14.650




0.213




0.806






13.764




−0.018




0.056




14.527




−0.123




0.333




14.534




0.421




0.806






13.646




−0.003




0.111




14.494




0.364




0.306




14.413




0.049




0.778






13.763




0.163




0.000




14.493




0.259




0.278




14.540




0.425




0.778






13.795




0.160




0.083




14.748




−0.200




0.306




14.555




−0.082




0.778






13.610




0.001




0.056




14.869




−0.314




0.333




14.635




0.257




0.778






13.609




0.182




0.000




14.886




0.092




0.333




14.382




0.057




0.806






13.898




0.147




0.083




14.699




−0.178




0.306




14.671




0.170




0.806






13.488




0.197




0.083




14.635




0.198




0.278




14.615




−0.181




0.806






13.697




−0.010




0.111




14.681




0.175




0.278




14.565




0.384




0.778






13.457




0.020




0.028




14.718




0.220




0.306




14.360




0.646




0.806






13.455




0.201




0.000




14.887




−0.232




0.278




14.509




0.461




0.806






13.662




0.005




0.083




14.594




−0.132




0.278




14.337




0.109




0.778






13.796




−0.022




0.000




14.890




−0.272




0.306




14.513




0.465




0.778






13.950




−0.041




0.000




14.655




0.338




0.333




14.456




0.543




0.778






13.694




−0.010




0.000




14.580




−0.142




0.333




14.394




0.617




0.778






13.745




−0.016




0.000




14.791




−0.193




0.278




14.346




0.089




0.806






13.847




0.153




0.056




14.906




0.048




0.278




14.519




−0.075




0.806






13.489




0.016




0.000




14.549




−0.124




0.306




14.605




0.297




0.806






13.815




−0.024




0.056




14.961




0.014




0.306




14.620




−0.154




0.778






13.713




−0.012




0.028




14.587




0.312




0.306




14.327




0.687




0.778






13.642




0.178




0.056




14.842




0.120




0.306




14.481




0.500




0.806






13.559




0.007




0.056




14.760




0.187




0.306




14.376




0.079




0.778






13.847




0.153




0.083




14.775




0.218




0.333




14.450




0.018




0.778






13.898




0.147




0.028




14.743




−0.176




0.278




14.485




0.504




0.778






13.559




0.007




0.028




14.675




0.252




0.306




14.425




0.580




0.778






13.949




0.141




0.083




14.817




0.101




0.278




14.590




0.342




0.778






13.643




−0.003




0.000




14.796




−0.223




0.306




14.486




−0.041




0.806






13.457




0.020




0.083




14.949




0.020




0.278




14.628




0.255




0.806






13.591




0.003




0.000




14.631




−0.165




0.333




14.452




0.537




0.806






13.764




−0.018




0.028




14.956




0.003




0.333




14.646




−0.217




0.806






13.539




0.191




0.083




14.727




0.151




0.278




14.582




0.339




0.806






13.508




0.014




0.083




14.913




−0.349




0.333




14.652




−0.190




0.778






13.590




0.185




0.056




14.937




−0.298




0.306




14.487




−0.014




0.778






13.795




0.159




0.028




14.883




0.085




0.306




14.361




0.652




0.778






13.539




0.191




0.056




14.934




−0.252




0.278




14.588




−0.118




0.778






13.693




0.172




0.028




15.275




−0.349




0.306




14.452




−0.007




0.806






13.540




0.009




0.000




15.299




−0.577




0.333




14.327




0.680




0.806






13.918




−0.037




0.056




14.993




−0.008




0.278




14.949




−0.630




0.778






14.052




0.128




0.056




15.079




−0.065




0.278




14.879




−0.269




0.778






14.360




−0.092




0.000




15.029




−0.294




0.278




14.954




−0.485




0.806






14.466




−0.104




0.111




15.334




−0.240




0.278




14.822




−0.424




0.778






13.969




−0.043




0.083




15.072




−0.384




0.306




15.007




−0.650




0.806






14.379




−0.094




0.028




15.199




−0.375




0.333




14.683




−0.227




0.778






14.430




−0.100




0.056




15.265




−0.397




0.278




15.033




−0.624




0.778






14.155




−0.066




0.000




15.155




−0.584




0.333




14.867




−0.526




0.806






14.277




−0.081




0.028




15.196




−0.484




0.306




14.807




−0.134




0.806






14.225




−0.075




0.028




15.039




−0.462




0.333




14.802




−0.092




0.778






14.463




−0.104




0.000




15.123




−0.335




0.278




14.762




−0.004




0.778






14.052




0.128




0.083




15.212




−0.263




0.306




14.751




−0.003




0.806






14.123




−0.062




0.083




15.121




−0.094




0.278




14.994




−0.536




0.778






14.221




0.108




0.111




15.054




−0.134




0.333




14.841




−0.181




0.778






14.224




0.107




0.000




15.308




−0.720




0.333




14.679




0.170




0.778






14.277




−0.081




0.083




15.400




−0.353




0.278




14.843




−0.222




0.806






14.205




0.109




0.056




15.346




−0.523




0.306




15.013




−0.615




0.806






14.327




0.094




0.000




15.206




−0.152




0.278




14.714




−0.265




0.778






14.375




0.089




0.111




15.312




−0.419




0.278




14.940




−0.648




0.806






14.462




0.078




0.028




14.983




−0.325




0.306




14.825




−0.178




0.806






14.258




−0.079




0.000




15.114




−0.229




0.333




14.742




0.040




0.778






14.000




0.134




0.083




15.171




−0.356




0.278




14.898




−0.314




0.778






14.410




0.084




0.056




15.171




−0.326




0.333




14.936




−0.403




0.778






14.379




−0.094




0.083




15.144




−0.180




0.306




14.817




−0.445




0.806






14.072




−0.056




0.028




15.076




−0.315




0.278




14.873




−0.507




0.778






14.173




0.113




0.000




15.276




−0.526




0.333




14.769




−0.046




0.806






14.276




−0.081




0.056




14.990




−0.042




0.333




14.973




−0.528




0.806






14.482




−0.106




0.028




15.304




−0.393




0.306




14.736




−0.327




0.806






14.103




0.122




0.028




15.380




−0.401




0.278




14.917




−0.607




0.806






14.429




0.081




0.000




15.231




−0.667




0.333




14.791




−0.405




0.806






14.257




0.103




0.028




15.164




−0.123




0.278




14.691




0.127




0.806






14.324




0.095




0.111




15.268




−0.709




0.333




15.013




−0.580




0.778






14.481




−0.106




0.056




15.413




−0.307




0.278




14.721




0.084




0.778






14.261




−0.079




0.111




15.314




−0.566




0.306




14.955




−0.447




0.778






14.053




−0.054




0.000




15.084




−0.182




0.333




15.044




−0.665




0.778






14.103




0.122




0.083




14.998




−0.423




0.333




15.003




−0.691




0.778






14.122




0.119




0.000




15.218




−0.376




0.278




14.967




−0.676




0.806






14.020




−0.050




0.056




15.037




−0.062




0.306




14.899




−0.548




0.778






14.257




0.103




0.083




15.028




−0.353




0.306




14.880




−0.309




0.806






14.225




−0.075




0.056




15.078




−0.502




0.333




14.936




−0.441




0.806






14.103




0.122




0.056




15.292




−0.210




0.278




14.770




−0.343




0.778






14.123




−0.062




0.028




15.237




−0.519




0.306




14.707




−0.290




0.806






14.257




0.103




0.056




15.178




−0.221




0.306




14.899




0.353




0.806






14.072




−0.056




0.083




15.251




−0.475




0.333




14.860




−0.225




0.778






14.052




0.128




0.028




14.982




−0.273




0.278




14.764




−0.366




0.806






14.328




−0.087




0.056




15.114




−0.416




0.306




14.700




0.127




0.778






14.275




0.100




0.000




15.249




−0.181




0.278




14.848




−0.466




0.778






14.359




0.090




0.083




15.117




−0.542




0.333




14.712




0.084




0.806






14.174




−0.068




0.056




15.022




−0.088




0.333




14.974




−0.491




0.778






14.119




0.120




0.111




15.226




−0.425




0.333




14.993




−0.572




0.806






14.328




−0.087




0.028




15.358




−0.442




0.278




14.924




−0.589




0.778






14.205




0.109




0.083




15.193




−0.625




0.333




14.862




−0.266




0.806






14.430




−0.100




0.028




15.000




−0.024




0.306




14.917




−0.397




0.806






14.158




−0.066




0.111




15.074




−0.100




0.306




14.797




−0.383




0.778






13.969




−0.043




0.056




15.334




−0.437




0.306




14.822




−0.136




0.778






14.412




−0.098




0.000




15.276




−0.554




0.306




14.842




−0.485




0.806






14.170




0.114




0.111




15.375




−0.272




0.278




14.892




−0.566




0.806






14.020




−0.050




0.083




15.156




−0.449




0.306




14.788




−0.090




0.806






14.359




0.090




0.028




15.109




−0.140




0.306




14.743




−0.303




0.778






14.328




−0.087




0.083




15.365




−0.480




0.306




14.973




−0.672




0.778






14.308




0.097




0.083




15.143




−0.278




0.333




14.917




−0.358




0.778






14.480




0.075




0.000




15.244




−0.305




0.306




14.731




0.041




0.806






14.477




0.076




0.111




15.036




−0.036




0.278




14.782




−0.048




0.778






14.308




0.096




0.028




15.341




−0.681




0.333




13.648




0.688




0.694






14.462




0.078




0.056




15.321




−0.629




0.333




13.532




0.589




0.694






14.430




0.100




0.083




15.280




−0.828




0.361




13.575




0.270




0.694






14.426




0.082




0.111




14.581




−0.156




0.361




13.828




0.248




0.694






14.359




0.090




0.056




15.244




−0.794




0.361




13.480




0.323




0.722






14.205




0.109




0.028




15.023




−0.153




0.361




13.800




0.795




0.722






14.309




−0.085




0.000




15.308




−0.791




0.361




13.585




0.670




0.722






14.002




−0.047




0.000




15.210




−0.747




0.361




13.829




0.780




0.694






14.000




0.134




0.056




15.033




−0.515




0.361




13.735




0.741




0.694






14.415




−0.098




0.111




14.528




−0.132




0.361




13.730




0.310




0.722






14.154




0.115




0.083




14.995




−0.471




0.361




13.681




0.315




0.722






14.071




−0.056




0.056




14.995




−0.102




0.361




13.778




0.256




0.694






14.016




0.133




0.111




14.775




0.241




0.361




13.848




0.809




0.722






14.174




−0.069




0.028




15.070




−0.561




0.361




13.727




0.262




0.694






14.020




−0.050




0.028




14.633




−0.182




0.361




13.624




0.701




0.722






14.000




0.134




0.028




14.828




−0.308




0.361




13.480




0.323




0.722






14.174




−0.068




0.083




15.225




−0.574




0.361




13.513




0.600




0.722






14.462




0.078




0.083




15.051




−0.205




0.361




13.548




0.636




0.722






14.379




−0.094




0.056




15.141




−0.653




0.361




13.780




0.302




0.722






14.378




0.088




0.000




14.783




−0.271




0.361




13.531




0.321




0.722






14.019




0.132




0.000




15.288




−0.737




0.361




13.676




0.266




0.694






14.154




0.115




0.028




14.703




0.333




0.361




13.665




0.730




0.722






14.070




0.126




0.000




13.407




0.033




0.528




13.781




0.763




0.694






14.104




−0.060




0.000




13.407




0.033




0.528




13.473




0.273




0.694






14.482




−0.106




0.083




13.353




0.035




0.528




13.690




0.716




0.694






14.207




−0.073




0.000




13.317




0.154




0.528




13.829




0.292




0.722






14.308




0.096




0.056




13.347




0.198




0.528




13.569




0.625




0.694






14.225




−0.075




0.083




13.295




0.105




0.528




13.878




0.794




0.694






14.410




0.084




0.028




13.412




0.284




0.528




13.581




0.321




0.722






14.123




−0.062




0.056




13.379




0.242




0.528




13.473




0.273




0.694






14.410




0.084




0.083




13.304




0.054




0.528




13.626




0.269




0.694






14.154




0.115




0.056




13.622




0.047




0.528




13.708




0.755




0.722






13.969




−0.043




0.028




13.769




0.553




0.500




13.524




0.271




0.694






13.902




−0.035




0.111




13.564




0.436




0.528




13.878




0.240




0.694






14.363




−0.092




0.111




13.551




0.009




0.500




13.498




0.551




0.694






13.504




0.196




0.111




13.485




0.363




0.528




13.466




0.511




0.694






14.005




−0.047




0.111




13.694




0.532




0.528




13.878




0.281




0.722






14.312




−0.085




0.111




13.514




0.039




0.528




13.607




0.658




0.694






13.606




0.183




0.111




13.606




0.470




0.528




13.631




0.319




0.722






14.056




−0.054




0.111




13.524




0.401




0.528




13.452




0.521




0.722






14.107




−0.060




0.111




13.787




0.585




0.528




13.753




0.777




0.722






13.452




0.202




0.111




13.461




0.035




0.528




13.481




0.561




0.722






14.210




−0.073




0.111




13.448




0.324




0.528




13.978




0.219




0.694






14.272




0.101




0.111




13.740




0.560




0.528




14.296




0.117




0.722






14.067




0.126




0.111




13.649




0.502




0.528




13.928




0.803




0.694






13.595




0.003




0.111




13.837




0.051




0.528




14.279




0.731




0.722






14.565




−0.117




0.000




13.729




0.052




0.528




14.163




0.187




0.722






14.923




0.021




0.083




13.836




0.608




0.528




14.145




0.798




0.722






14.584




−0.119




0.083




13.675




0.050




0.528




14.218




0.135




0.694






14.773




−0.142




0.111




13.783




0.052




0.528




14.264




0.113




0.694






14.635




−0.125




0.028




13.568




0.043




0.528




14.027




0.206




0.694






14.533




−0.113




0.028




13.918




0.619




0.500




14.096




0.811




0.722






14.620




−0.123




0.111




14.207




−0.012




0.528




14.076




0.191




0.694






14.667




0.052




0.056




14.096




0.672




0.528




14.270




0.731




0.694






14.820




0.034




0.028




13.944




0.044




0.528




14.253




0.142




0.722






14.615




0.059




0.083




14.308




−0.049




0.528




14.080




0.801




0.694






14.924




−0.161




0.000




13.937




0.645




0.528




14.225




0.755




0.694






14.890




0.025




0.000




13.997




0.037




0.528




13.979




0.807




0.694






14.564




0.065




0.028




14.050




0.028




0.528




14.023




0.241




0.722






14.943




−0.163




0.083




14.103




0.017




0.528




14.308




0.088




0.694






14.872




0.027




0.083




14.203




0.666




0.528




14.178




0.775




0.694






14.892




−0.157




0.056




13.989




0.658




0.528




14.312




0.703




0.694






14.734




0.045




0.111




14.306




0.638




0.528




14.236




0.757




0.722






14.788




0.037




0.000




14.042




0.668




0.528




13.947




0.823




0.722






14.513




0.071




0.028




13.886




0.628




0.528




14.208




0.166




0.722






14.533




−0.112




0.083




14.258




−0.030




0.528




14.130




0.790




0.694






14.943




−0.163




0.056




14.255




0.655




0.528




14.047




0.820




0.722






14.994




−0.169




0.083




13.890




0.048




0.528




14.191




0.779




0.722






14.939




0.019




0.111




14.155




0.003




0.528




13.975




0.256




0.722






14.892




−0.157




0.028




14.149




0.672




0.528




14.070




0.225




0.722






14.872




0.027




0.028




14.353




−0.079




0.500




13.897




0.818




0.722






14.840




−0.150




0.056




14.343




0.613




0.500




14.117




0.207




0.722






14.718




0.046




0.028




14.665




0.323




0.528




14.171




0.156




0.694






14.975




−0.167




0.000




14.489




0.526




0.528




13.928




0.230




0.694






14.722




−0.136




0.111




14.454




−0.117




0.528




13.927




0.269




0.722






14.513




0.071




0.083




14.529




0.489




0.528




13.997




0.824




0.722






14.738




−0.138




0.083




14.752




0.187




0.528




14.030




0.807




0.694






14.769




0.040




0.028




14.447




0.559




0.528




14.124




0.174




0.694






14.564




0.065




0.083




14.402




0.589




0.528




14.524




0.482




0.722






14.635




−0.125




0.056




14.637




−0.231




0.528




14.597




−0.121




0.694






14.974




0.015




0.028




14.680




−0.263




0.528




14.758




0.092




0.694






14.667




0.053




0.083




14.566




0.451




0.528




14.428




0.603




0.694






14.892




−0.157




0.083




14.502




−0.142




0.528




14.380




0.063




0.722






14.923




0.021




0.056




14.601




0.410




0.528




14.634




−0.155




0.694






14.568




−0.117




0.111




14.357




−0.070




0.528




14.437




0.006




0.694






14.789




−0.144




0.028




14.406




−0.093




0.528




14.736




0.138




0.694






14.634




0.056




0.000




14.722




−0.296




0.528




14.607




0.356




0.722






14.927




−0.161




0.111




14.593




−0.199




0.528




14.478




−0.024




0.694






14.667




0.052




0.028




14.634




0.367




0.528




14.714




−0.238




0.722






14.584




−0.119




0.056




14.695




0.279




0.528




14.462




0.560




0.722






14.580




0.063




0.111




14.763




−0.331




0.528




14.768




0.045




0.722






14.682




0.051




0.111




14.548




−0.169




0.528




14.394




0.634




0.722






14.942




0.019




0.000




14.355




0.616




0.528




14.613




−0.127




0.722






14.687




−0.131




0.056




14.724




0.233




0.528




14.463




0.566




0.694






14.635




−0.125




0.083




14.909




−0.489




0.528




14.421




0.034




0.722






14.840




−0.150




0.028




14.808




−0.370




0.500




14.670




−0.191




0.694






14.836




0.032




0.111




15.078




−0.436




0.500




14.640




0.318




0.694






14.974




0.015




0.083




15.134




−0.791




0.528




14.746




0.090




0.722






14.789




−0.144




0.083




14.913




−0.093




0.500




14.632




0.313




0.722






14.532




0.069




0.000




15.132




−0.585




0.528




14.713




0.183




0.694






14.785




0.038




0.111




14.805




0.094




0.528




14.552




0.441




0.722






14.529




0.070




0.111




15.195




−0.733




0.528




14.501




−0.027




0.722






14.923




0.021




0.028




14.998




−0.291




0.528




14.648




−0.163




0.722






14.564




0.065




0.056




15.044




−0.388




0.528




14.462




0.004




0.722






14.990




0.013




0.111




14.977




−0.572




0.528




14.705




−0.229




0.694






14.769




0.040




0.056




14.905




−0.097




0.528




14.391




0.638




0.694






14.687




−0.131




0.083




15.021




−0.340




0.528




14.519




−0.055




0.694






14.514




−0.110




0.000




15.175




−0.683




0.528




14.682




−0.200




0.722






14.873




−0.154




0.000




14.831




0.047




0.528




14.689




0.229




0.694






14.517




−0.110




0.111




15.164




−0.836




0.528




14.528




0.487




0.694






14.769




0.040




0.083




14.838




−0.408




0.528




14.746




−0.277




0.722






14.770




−0.142




0.000




14.944




−0.530




0.528




14.357




0.669




0.722






14.993




0.012




0.000




15.214




−0.784




0.528




14.577




−0.092




0.722






14.825




−0.148




0.111




15.154




−0.634




0.528




14.558




0.446




0.694






14.887




0.026




0.111




15.066




−0.437




0.528




14.679




0.225




0.722






14.583




0.063




0.000




15.042




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0.528




14.738




−0.267




0.694






14.789




−0.144




0.056




14.856




−0.001




0.528




14.496




0.527




0.694






14.994




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0.056




14.881




−0.049




0.528




14.558




−0.087




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14.617




−0.123




0.000




14.873




−0.449




0.528




14.665




0.273




0.694






14.943




−0.163




0.028




15.104




−0.746




0.528




14.352




0.062




0.694






14.840




−0.150




0.083




14.779




0.141




0.528




14.587




0.404




0.694






14.718




0.046




0.056




15.089




−0.486




0.528




14.540




−0.059




0.722






14.738




−0.138




0.028




15.204




−0.825




0.528




14.770




−0.307




0.694






14.668




−0.129




0.000




14.975




−0.242




0.528




14.339




0.091




0.722






14.974




0.015




0.056




15.111




−0.535




0.528




14.395




0.034




0.694






14.687




−0.132




0.028




14.929




−0.145




0.528




14.724




0.135




0.722






14.820




0.034




0.083




14.952




−0.194




0.528




14.493




0.522




0.722






14.719




−0.136




0.000




15.010




−0.615




0.528




14.702




0.180




0.722






14.513




0.071




0.056




15.073




−0.702




0.528




14.319




0.701




0.722






14.533




−0.113




0.056




14.801




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0.528




14.614




0.362




0.694






14.738




−0.138




0.056




13.273




−0.130




0.417




14.353




0.672




0.694






14.820




0.034




0.056




13.180




−0.082




0.417




14.580




0.399




0.722






14.872




0.027




0.056




13.212




−0.041




0.444




14.428




0.598




0.722






14.839




0.031




0.000




13.444




0.279




0.417




14.656




0.269




0.722






14.584




−0.119




0.028




13.403




0.239




0.417




15.026




−0.513




0.694






14.994




−0.169




0.028




13.253




0.068




0.417




15.069




−0.606




0.694






14.737




0.044




0.000




13.358




−0.087




0.444




14.945




−0.557




0.694






14.718




0.046




0.083




13.363




0.199




0.417




15.024




−0.687




0.694






14.685




0.050




0.000




13.359




0.192




0.444




15.005




−0.467




0.694






14.822




−0.148




0.000




13.301




0.120




0.472




15.030




−0.551




0.722






14.615




0.059




0.028




13.246




0.025




0.472




14.831




−0.092




0.722






14.615




0.059




0.056




13.302




−0.088




0.444




14.929




−0.322




0.722






15.455




−0.226




0.056




13.256




−0.026




0.472




15.093




−0.688




0.722






15.493




−0.101




0.000




13.228




0.012




0.444




15.042




−0.741




0.722






15.353




−0.213




0.083




13.418




−0.041




0.472




15.018




−0.697




0.722






15.246




−0.018




0.111




13.363




−0.044




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14.915




−0.525




0.722






15.454




−0.044




0.000




13.443




0.288




0.472




14.904




−0.233




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15.078




−0.180




0.000




13.334




0.164




0.472




14.831




−0.388




0.694






15.026




0.008




0.056




13.217




−0.121




0.417




14.942




−0.567




0.722






15.249




−0.019




0.000




13.288




0.113




0.417




14.851




−0.138




0.722






15.502




−0.050




0.111




13.414




−0.083




0.444




15.119




−0.741




0.694






15.384




−0.036




0.056




13.397




0.234




0.444




14.823




−0.046




0.694






15.282




−0.023




0.028




13.247




−0.080




0.444




14.890




−0.230




0.722






15.297




−0.025




0.111




13.330




−0.129




0.417




15.009




−0.506




0.722






15.045




−0.175




0.083




13.405




0.248




0.472




14.861




−0.441




0.722






15.097




−0.182




0.056




13.256




0.060




0.444




15.083




−0.724




0.722






15.481




−0.148




0.111




13.436




0.274




0.444




14.949




−0.368




0.722






15.301




−0.026




0.000




13.220




0.022




0.417




14.776




−0.317




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15.403




−0.038




0.000




13.192




−0.027




0.417




14.805




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0.722






15.469




−0.198




0.111




13.325




0.157




0.417




14.999




−0.643




0.694






15.097




−0.182




0.028




13.308




−0.042




0.472




14.944




−0.327




0.694






15.404




−0.219




0.056




13.387




−0.124




0.417




14.860




−0.430




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15.286




−0.205




0.111




13.289




0.106




0.444




14.917




−0.514




0.694






15.498




−0.082




0.028




13.369




0.207




0.472




14.844




−0.093




0.694






15.436




−0.042




0.056




13.363




−0.044




0.472




14.802




0.000




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15.333




−0.029




0.083




13.443




−0.117




0.417




15.049




−0.732




0.694






15.333




−0.029




0.028




13.270




0.074




0.472




14.968




−0.610




0.722






15.506




−0.051




0.000




13.323




0.150




0.444




15.076




−0.768




0.694






15.148




−0.188




0.028




13.621




0.422




0.417




15.111




−0.698




0.694






15.451




−0.044




0.111




13.766




0.511




0.417




14.889




−0.472




0.694






15.337




−0.211




0.111




13.668




0.453




0.417




15.047




−0.559




0.694






15.388




−0.218




0.111




13.476




0.312




0.444




14.964




−0.374




0.694






15.282




−0.023




0.056




13.698




0.482




0.444




14.834




−0.399




0.722






15.498




−0.082




0.083




13.637




−0.017




0.472




14.780




0.046




0.694






15.230




−0.017




0.028




13.580




−0.060




0.444




14.884




−0.186




0.694






15.147




−0.007




0.000




13.692




−0.011




0.472




14.984




−0.420




0.694






15.333




−0.030




0.056




13.528




−0.029




0.472




14.972




−0.600




0.694






15.353




−0.213




0.028




13.780




−0.062




0.417




14.989




−0.460




0.722






15.148




−0.188




0.083




13.653




0.466




0.472




15.072




−0.642




0.722






15.400




−0.037




0.111




13.609




0.433




0.472




14.994




−0.653




0.722






15.302




−0.207




0.056




13.898




0.583




0.444




14.924




−0.280




0.694






15.404




−0.220




0.028




13.795




0.537




0.444




14.789




0.000




0.722






15.180




−0.192




0.000




13.949




−0.046




0.417




14.864




−0.139




0.694






15.097




−0.182




0.083




13.922




0.581




0.417




14.909




−0.276




0.722






15.487




−0.048




0.083




13.746




−0.038




0.444




14.810




−0.046




0.722






15.041




0.007




0.111




13.795




0.550




0.472




14.801




0.347




0.694






15.179




−0.010




0.083




13.611




−0.089




0.417




15.090




−0.652




0.694






15.129




−0.186




0.000




13.914




−0.026




0.444




14.969




−0.414




0.722






15.044




0.006




0.000




13.487




0.316




0.417




14.870




−0.184




0.722






15.132




−0.186




0.111




13.482




0.327




0.472




15.051




0.597




0.722






15.179




−0.011




0.028




13.499




−0.108




0.417




14.888




−0.483




0.722






15.025




0.009




0.083




13.893




−0.049




0.417




14.653




−0.173




0.750






15.092




0.000




0.111




13.716




0.483




0.417




14.159




0.799




0.750






15.384




−0.036




0.028




13.651




0.451




0.444




13.530




0.649




0.750






15.498




−0.082




0.056




13.802




−0.004




0.472




14.478




0.000




0.750






15.487




−0.048




0.056




13.845




0.574




0.472




14.361




0.661




0.750






15.334




−0.211




0.000




13.747




−0.007




0.472




14.279




0.144




0.750






15.144




−0.006




0.111




13.635




−0.052




0.444




14.518




0.472




0.750






15.235




−0.199




0.111




13.896




0.595




0.472




14.062




0.258




0.750






15.148




−0.188




0.056




13.691




−0.045




0.444




13.829




0.338




0.750






15.473




−0.182




0.083




13.525




−0.068




0.444




13.587




0.376




0.750






15.081




−0.180




0.111




13.723




−0.070




0.417




14.286




0.725




0.750






15.025




0.008




0.028




13.836




−0.055




0.417




14.856




−0.183




0.750






15.231




−0.017




0.056




13.473




−0.036




0.472




14.113




0.816




0.750






15.232




−0.199




0.000




13.469




−0.076




0.444




14.953




−0.409




0.750






15.435




−0.042




0.028




13.555




−0.099




0.417




13.488




0.378




0.750






15.353




−0.213




0.056




13.948




0.613




0.472




15.053




−0.633




0.750






15.455




−0.226




0.028




13.518




0.349




0.444




13.467




0.573




0.750






15.485




−0.132




0.056




13.817




0.537




0.417




14.959




−0.618




0.750






15.481




−0.151




0.000




13.869




0.560




0.417




13.643




0.744




0.750






15.198




−0.013




0.000




13.846




0.561




0.444




14.829




−0.409




0.750






15.485




−0.133




0.028




13.530




0.353




0.417




14.754




0.041




0.750






15.179




−0.011




0.056




13.912




−0.002




0.472




14.516




−0.032




0.750






15.250




−0.201




0.083




13.747




0.524




0.472




14.324




0.694




0.750






15.128




−0.004




0.028




13.561




0.385




0.444




14.321




0.117




0.750






15.282




−0.023




0.083




13.857




−0.002




0.472




14.490




0.512




0.750






15.077




0.002




0.028




13.699




0.496




0.472




14.107




0.239




0.750






15.283




−0.205




0.000




13.575




0.388




0.417




13.876




0.324




0.750






15.128




−0.004




0.083




13.606




0.419




0.444




13.636




0.373




0.750






15.077




0.002




0.083




13.523




0.364




0.472




14.065




0.828




0.750






15.045




−0.175




0.056




13.667




−0.079




0.417




15.033




−0.589




0.750






15.045




−0.176




0.028




13.858




−0.029




0.444




14.685




−0.210




0.750






15.352




−0.032




0.000




13.565




0.399




0.472




14.984




−0.661




0.750






15.404




−0.219




0.083




13.746




0.511




0.444




14.733




0.086




0.750






15.385




−0.217




0.000




13.950




0.601




0.444




13.603




0.715




0.750






15.455




−0.226




0.083




13.802




−0.033




0.444




14.855




−0.451




0.750






15.128




−0.004




0.056




13.582




−0.023




0.472




14.204




0.778




0.750






15.027




−0.173




0.000




14.446




−0.122




0.472




13.821




0.825




0.750






15.199




−0.194




0.083




14.144




0.626




0.417




14.645




0.262




0.750






15.250




−0.201




0.028




14.004




0.616




0.444




14.717




−0.248




0.750






15.250




−0.201




0.056




14.031




0.612




0.417




14.934




−0.363




0.750






15.302




−0.207




0.028




14.247




−0.060




0.444




14.552




−0.065




0.750






15.435




−0.042




0.083




14.377




0.590




0.472




14.361




0.089




0.750






15.199




−0.194




0.028




14.001




0.627




0.472




14.459




0.551




0.750






15.384




−0.036




0.083




14.059




0.627




0.444




14.151




0.217




0.750






15.199




−0.194




0.056




14.407




−0.108




0.444




13.923




0.309




0.750






15.468




−0.201




0.000




14.025




−0.028




0.444




14.711




0.130




0.750






15.230




−0.017




0.083




14.137




−0.039




0.444




13.918




0.839




0.750






15.485




−0.132




0.083




14.426




0.564




0.472




14.622




0.305




0.750






15.487




−0.048




0.028




14.171




0.634




0.444




13.685




0.368




0.750






15.077




0.002




0.056




14.395




−0.101




0.472




14.816




−0.093




0.750






15.473




−0.183




0.056




14.192




−0.048




0.444




14.395




0.626




0.750






15.437




−0.224




0.000




14.468




0.537




0.417




14.914




−0.318




0.750






15.506




−0.051




0.000




13.970




−0.026




0.444




15.013




−0.544




0.750






15.302




−0.207




0.083




14.201




0.625




0.417




14.690




0.174




0.750






15.473




−0.183




0.028




14.387




0.583




0.444




15.008




−0.704




0.750






15.095




0.000




0.000




14.292




−0.064




0.472




13.565




0.684




0.750






15.494




−0.098




0.111




14.226




0.630




0.444




14.881




−0.493




0.750






14.978




−0.167




0.111




14.055




0.638




0.472




13.538




0.376




0.750






14.671




−0.129




0.111




14.220




0.639




0.472




13.774




0.811




0.750






15.195




−0.012




0.111




13.976




0.598




0.417




14.747




−0.287




0.750






15.440




−0.224




0.111




14.115




0.633




0.444




13.967




0.839




0.750






14.876




−0.155




0.111




14.452




−0.125




0.417




14.587




−0.100




0.750






14.631




0.057




0.111




14.398




−0.106




0.417




14.836




−0.137




0.750






15.030




−0.173




0.111




14.274




0.628




0.472




14.246




0.753




0.750






15.183




−0.192




0.111




14.344




−0.082




0.472




14.401




0.060




0.750






15.349




−0.031




0.111




14.354




−0.090




0.444




14.428




0.589




0.750






13.193




0.207




0.250




14.327




0.612




0.472




14.195




0.195




0.750






13.291




−0.001




0.250




14.288




−0.076




0.417




14.573




0.390




0.750






13.244




0.211




0.250




14.233




−0.065




0.417




13.970




0.294




0.750






13.139




0.022




0.250




14.077




−0.015




0.472




14.598




0.348




0.750






13.188




0.007




0.250




14.165




0.644




0.472




13.733




0.361




0.750






13.093




0.109




0.250




14.110




0.644




0.472




14.796




−0.048




0.750






13.394




−0.008




0.250




14.459




−0.128




0.444




13.488




0.378




0.750






13.239




0.003




0.250




14.343




−0.090




0.417




14.895




−0.273




0.750






13.296




0.214




0.250




14.367




0.589




0.417




14.993




−0.499




0.750






13.144




0.193




0.250




14.335




0.604




0.444




15.042




−0.707




0.750






13.399




0.220




0.250




14.081




−0.032




0.444




14.907




−0.535




0.750






13.342




−0.004




0.250




14.087




0.621




0.417




13.728




0.793




0.750






13.188




0.007




0.250




14.120




−0.049




0.417




14.775




−0.327




0.750






13.107




0.158




0.250




14.176




−0.056




0.417




14.620




−0.136




0.750






13.104




0.059




0.250




14.257




0.619




0.417




14.440




0.031




0.750






13.347




0.217




0.250




14.131




−0.024




0.472




14.238




0.170




0.750






13.250




0.046




0.167




14.313




0.607




0.417




14.016




0.277




0.750






13.306




0.038




0.194




14.281




0.620




0.444




14.668




0.218




0.750






13.221




0.035




0.222




14.063




−0.046




0.417




13.782




0.351




0.750






13.089




0.126




0.194




14.301




−0.074




0.444




13.869




0.834




0.750






13.338




0.035




0.139




14.418




0.566




0.417




14.775




−0.003




0.750






13.281




0.223




0.194




14.967




−0.004




0.472




14.876




−0.228




0.750






13.146




0.226




0.139




14.472




0.534




0.472




13.684




0.770




0.750






13.425




0.014




0.222




14.006




−0.045




0.417




14.973




−0.454




0.750






13.099




0.176




0.194




14.185




−0.035




0.472




13.445




0.399




0.750






13.236




0.047




0.139




14.022




−0.009




0.472




15.073




−0.678




0.750






13.119




0.198




0.222




14.239




−0.048




0.472




14.016




0.835




0.750






13.332




0.216




0.194




14.436




0.557




0.444




14.546




0.432




0.750






13.182




0.234




0.167




14.805




0.158




0.417




13.497




0.612




0.750






13.152




0.056




0.194




14.803




0.142




0.444




14.933




−0.576




0.750






13.170




0.041




0.222




14.774




0.206




0.417




14.803




−0.368




0.750






13.089




0.144




0.139




14.888




−0.444




0.472




13.471




0.725




0.889






13.094




0.153




0.222




14.877




−0.403




0.417




13.664




0.909




0.889






13.387




0.210




0.167




14.514




0.505




0.417




13.491




0.765




0.889






13.299




0.221




0.139




14.869




0.011




0.472




13.527




0.667




0.889






13.419




0.211




0.222




14.757




0.201




0.472




13.712




0.666




0.917






13.350




0.214




0.139




14.917




−0.443




0.417




13.825




0.620




0.944






13.287




0.041




0.139




14.835




−0.364




0.417




13.643




0.738




0.944






13.087




0.130




0.167




14.842




0.059




0.472




13.781




0.578




0.889






13.403




0.027




0.167




14.729




−0.292




0.472




13.583




0.914




0.944






13.147




0.058




0.167




14.609




−0.204




0.444




13.552




0.832




0.889






13.335




0.216




0.167




14.792




−0.327




0.417




13.536




0.845




0.917






13.408




0.025




0.194




14.743




0.237




0.444




13.518




0.775




0.944






13.284




0.222




0.167




14.967




−0.151




0.444




13.520




0.800




0.889






13.196




0.233




0.139




14.638




0.388




0.417




13.603




0.903




0.917






13.368




0.214




0.222




14.772




−0.326




0.472




13.819




0.553




0.889






13.441




0.022




0.139




14.748




−0.291




0.417




13.506




0.811




0.917






13.247




0.227




0.139




14.679




0.328




0.444




13.685




0.723




0.944






13.401




0.208




0.139




14.851




−0.404




0.472




13.858




0.590




0.944






13.178




0.233




0.194




14.709




0.299




0.417




13.629




0.699




0.917






13.374




0.019




0.222




14.607




−0.196




0.417




13.502




0.813




0.944






13.233




0.229




0.167




14.955




−0.485




0.417




13.485




0.772




0.917






13.147




0.058




0.167




14.527




0.492




0.444




13.655




0.964




0.944






13.162




0.223




0.222




14.515




0.500




0.472




13.551




0.885




0.944






13.107




0.079




0.194




14.920




−0.038




0.417




13.856




0.975




0.917






13.100




0.179




0.167




14.684




−0.260




0.472




13.702




0.623




0.889






13.133




0.218




0.167




14.545




−0.170




0.472




13.696




0.981




0.944






13.198




0.052




0.167




14.926




−0.485




0.472




13.486




0.684




0.889






13.122




0.059




0.222




14.556




0.463




0.472




13.856




0.527




0.889






13.131




0.216




0.194




14.835




0.110




0.417




13.856




0.562




0.917






13.272




0.030




0.222




14.861




0.046




0.444




13.749




0.643




0.917






13.390




0.028




0.139




14.747




−0.298




0.444




13.568




0.875




0.917






13.196




0.233




0.139




14.593




−0.199




0.472




13.557




0.757




0.944






13.152




0.056




0.194




14.864




0.061




0.417




13.723




0.702




0.944






13.438




0.203




0.167




14.639




−0.229




0.472




13.839




0.951




0.889






13.384




0.210




0.194




14.832




0.094




0.444




13.660




0.641




0.889






13.102




0.081




0.167




14.893




0.012




0.417




13.825




1.001




0.944






13.170




0.041




0.222




14.674




0.344




0.417




13.869




0.996




0.944






13.095




0.102




0.222




14.774




0.190




0.444




13.681




0.946




0.917






13.265




0.221




0.222




14.921




−0.086




0.472




13.557




0.757




0.944






13.435




0.204




0.194




14.909




−0.452




0.444




13.671




0.686




0.917






13.357




0.031




0.194




14.483




0.526




0.444




13.641




0.927




0.917






13.230




0.229




0.194




14.702




−0.265




0.444




13.522




0.851




0.944






13.134




0.061




0.139




14.915




−0.052




0.444




13.811




0.975




0.917






13.301




0.039




0.167




14.974




−0.138




0.417




13.758




0.676




0.944






13.214




0.225




0.222




14.946




−0.135




0.472




13.500




0.733




0.917






13.203




0.050




0.194




14.655




−0.225




0.417




13.618




0.941




0.944






13.323




0.024




0.222




14.696




0.293




0.472




13.723




0.961




0.917






13.095




0.094




0.139




14.962




−0.526




0.472




13.822




0.590




0.917






13.316




0.218




0.222




14.664




0.338




0.472




13.767




0.971




0.917






13.352




0.033




0.167




14.888




−0.003




0.444




13.541




0.715




0.917






13.254




0.044




0.194




14.556




−0.169




0.417




13.600




0.748




0.944






13.107




0.192




0.139




14.505




−0.146




0.417




13.786




0.617




0.917






13.184




0.053




0.139




14.831




−0.372




0.444




13.792




0.648




0.944






13.915




0.233




0.250




14.558




0.469




0.417




13.585




0.707




0.917






13.863




0.233




0.250




14.941




−0.101




0.444




13.541




0.715




0.917






13.445




−0.011




0.250




14.630




0.381




0.472




13.738




0.993




0.944






13.806




−0.033




0.250




14.607




0.414




0.444




13.781




1.000




0.944






13.605




0.229




0.250




14.727




0.248




0.472




14.223




0.171




0.917






13.651




−0.023




0.250




14.644




0.372




0.444




14.133




0.849




0.944






13.553




0.227




0.250




14.947




−0.494




0.444




14.282




0.104




0.917






13.857




−0.036




0.250




14.703




−0.257




0.417




14.292




0.095




0.944






13.497




−0.014




0.250




14.895




−0.037




0.472




14.063




0.898




0.917






13.703




−0.026




0.250




14.569




0.454




0.444




14.100




0.878




0.944






13.708




0.232




0.250




14.791




−0.334




0.444




14.046




0.372




0.917






13.657




0.231




0.250




14.742




0.253




0.417




14.194




0.205




0.917






13.909




−0.040




0.250




14.812




−0.364




0.472




13.980




0.464




0.944






13.811




0.233




0.250




14.656




−0.234




0.444




14.308




0.080




0.889






13.760




0.233




0.250




14.599




0.429




0.417




14.168




0.815




0.889






13.548




−0.017




0.250




14.594




0.423




0.472




14.152




0.264




0.944






13.754




−0.029




0.250




14.970




−0.185




0.472




14.132




0.843




0.889






13.450




0.223




0.250




14.815




0.107




0.472




13.911




0.987




0.944






13.502




0.225




0.250




14.712




0.283




0.444




14.105




0.306




0.917






13.600




−0.020




0.250




14.497




−0.145




0.472




14.025




0.375




0.889






14.166




−0.064




0.250




14.511




−0.150




0.444




13.953




0.972




0.944






13.966




0.232




0.250




14.561




−0.176




0.444




14.303




0.693




0.889






14.371




−0.089




0.250




14.786




0.155




0.472




14.134




0.272




0.917






14.473




−0.104




0.250




14.948




−0.088




0.417




13.925




0.467




0.889






14.224




0.217




0.250




14.871




−0.412




0.444




14.255




0.722




0.944






13.960




−0.044




0.250




15.186




−0.804




0.444




14.099




0.872




0.917






14.114




−0.058




0.250




15.224




−0.710




0.444




13.900




0.968




0.917






14.320




−0.082




0.250




15.232




−0.831




0.472




14.283




0.689




0.944






14.422




−0.096




0.250




15.213




−0.654




0.417




14.264




0.129




0.944






14.012




−0.049




0.250




15.028




−0.573




0.417




14.311




0.070




0.917






14.069




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0.250




15.263




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14.201




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14.275




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0.250




15.098




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13.930




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0.889






14.217




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0.250




15.158




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0.444




14.009




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14.268




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0.250




15.135




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0.889






14.121




0.226




0.250




15.161




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14.164




0.818




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14.063




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15.199




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14.066




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14.018




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0.250




15.240




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14.427




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0.250




15.169




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14.090




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0.250




15.019




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14.172




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0.250




15.202




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13.889




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14.478




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0.250




15.017




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14.377




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0.250




15.042




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14.970




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0.250




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14.827




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15.167




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14.015




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15.066




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14.775




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14.528




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0.250




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14.725




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0.250




15.090




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0.250




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14.921




0.035




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0.250




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14.038




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14.978




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14.824




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0.250




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14.927




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15.031




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0.250




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15.447




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15.227




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0.250




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14.095




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15.018




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15.458




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0.417




13.512




0.550




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0.250




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13.459




0.019




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13.819




0.507




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13.528




0.003




0.222




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13.845




0.154




0.194




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0.500




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0.500




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13.931




0.021




0.500




13.695




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0.833






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0.198




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13.862




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0.139




13.273




0.064




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13.738




0.498




0.833






13.537




0.192




0.194




14.595




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13.818




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0.139




14.131




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0.500




13.685




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13.504




0.196




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0.483




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13.950




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0.167




13.393




0.244




0.500




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13.797




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0.167




14.726




0.239




0.500




13.475




0.713




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13.557




0.008




0.167




13.675




0.497




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13.449




0.610




0.833






13.709




0.170




0.139




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13.813




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0.606




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13.477




0.008




0.222




14.023




0.647




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13.823




0.458




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13.745




0.165




0.167




15.167




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0.500




13.458




0.655




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13.681




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0.222




15.149




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0.500




13.792




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0.833






13.592




0.184




0.167




14.696




0.284




0.500




13.644




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0.861






13.965




0.139




0.139




13.823




0.025




0.500




13.703




0.866




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13.694




0.172




0.167




15.227




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0.500




13.470




0.569




0.833






13.848




0.153




0.167




13.334




−0.002




0.500




13.503




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0.861






13.711




−0.011




0.167




14.549




−0.173




0.500




13.548




0.762




0.833






13.613




0.000




0.194




13.466




0.325




0.500




13.661




0.845




0.833






13.921




−0.037




0.194




15.087




−0.704




0.500




13.738




0.551




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13.606




0.183




0.139




14.391




0.589




0.500




13.838




0.903




0.833






13.778




0.184




0.222




13.443




−0.001




0.500




13.605




0.842




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13.865




−0.030




0.167




14.837




0.052




0.500




14.277




0.122




0.861






13.784




−0.024




0.222




14.562




0.455




0.500




14.000




0.905




0.861






13.562




0.006




0.194




14.438




0.560




0.500




14.111




0.282




0.861






13.595




0.003




0.139




13.505




0.363




0.500




14.110




0.849




0.833






13.492




0.016




0.139




14.040




0.009




0.500




14.244




0.164




0.833






13.470




0.207




0.222




13.283




0.014




0.500




14.269




0.732




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13.937




−0.040




0.222




13.768




0.024




0.500




14.137




0.254




0.833






13.762




−0.018




0.167




15.118




−0.748




0.500




14.005




0.371




0.861






13.829




0.180




0.222




13.631




0.466




0.500




13.932




0.904




0.833






13.664




−0.006




0.194




13.660




0.018




0.500




14.173




0.225




0.833






13.506




0.014




0.167




14.755




0.193




0.500




14.062




0.311




0.833






13.540




0.191




0.167




14.302




−0.059




0.500




13.896




0.456




0.861






13.676




0.192




0.222




13.970




0.635




0.500




14.100




0.283




0.833






13.489




0.197




0.167




13.867




0.600




0.500




13.885




0.906




0.833






13.886




−0.035




0.222




15.008




−0.288




0.500




14.067




0.869




0.833






13.643




0.178




0.167




14.146




−0.012




0.500




13.984




0.363




0.833






13.811




0.158




0.139




14.919




−0.490




0.500




14.226




0.771




0.833






13.742




0.167




0.194




13.358




0.202




0.500




14.023




0.885




0.833






13.716




−0.012




0.194




13.714




0.022




0.500




14.043




0.889




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13.646




−0.003




0.139




15.055




−0.387




0.500




14.041




0.343




0.861






13.624




0.196




0.222




15.022




−0.617




0.500




14.313




0.101




0.833






13.452




0.202




0.139




14.453




−0.123




0.500




14.150




0.826




0.833






13.608




0.001




0.167




13.817




0.578




0.500




13.910




0.925




0.861






13.869




−0.031




0.194




13.606




0.014




0.500




14.209




0.195




0.833






13.851




−0.029




0.139




14.954




−0.532




0.500




13.978




0.897




0.833






13.727




0.188




0.222




14.403




−0.100




0.500




14.162




0.820




0.861






13.543




0.009




0.139




14.665




0.329




0.500




14.189




0.800




0.833






13.916




−0.037




0.167




15.101




−0.485




0.500




13.968




0.400




0.861






13.881




0.175




0.222




14.810




0.099




0.500




14.309




0.090




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13.800




−0.022




0.139




13.877




0.023




0.500




14.084




0.869




0.861






13.511




0.013




0.194




14.684




−0.265




0.500




13.905




0.413




0.833






13.947




0.142




0.194




14.598




0.415




0.500




13.945




0.388




0.833






13.818




−0.025




0.194




15.145




−0.585




0.500




14.076




0.313




0.861






13.660




−0.005




0.167




15.055




−0.660




0.500




14.144




0.251




0.861






13.455




0.020




0.167




14.985




−0.239




0.500




14.235




0.763




0.861






13.896




0.148




0.194




14.077




0.654




0.500




14.302




0.700




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13.899




0.146




0.167




14.251




−0.041




0.500




14.244




0.155




0.861






13.794




0.161




0.194




15.123




−0.535




0.500




14.124




0.845




0.861






13.748




−0.016




0.139




13.296




0.113




0.500




14.296




0.708




0.833






13.697




−0.010




0.139




14.093




−0.001




0.500




14.279




0.132




0.833






13.573




0.200




0.222




14.199




−0.026




0.500




14.177




0.219




0.861






13.589




0.185




0.194




13.588




0.433




0.500




13.955




0.918




0.861






13.953




−0.041




0.139




15.208




−0.735




0.500




14.262




0.741




0.833






13.522




0.204




0.222




14.482




0.528




0.500




13.932




0.428




0.861






13.914




0.145




0.139




15.032




−0.337




0.500




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0.792




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13.902




−0.035




0.139




13.326




0.159




0.500




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0.187




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13.967




−0.043




0.167




13.986




0.016




0.500




14.024




0.338




0.833






13.835




−0.029




0.222




14.845




−0.410




0.500




14.056




0.892




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13.630




−0.008




0.222




13.389




−0.004




0.500




14.271




0.726




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13.760




0.164




0.139




15.179




−0.839




0.500




13.742




0.601




0.889






14.155




0.115




0.167




13.721




0.527




0.500




13.624




0.887




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14.312




−0.085




0.139




14.769




−0.332




0.500




13.794




0.948




0.889






14.443




0.110




0.222




14.239




0.646




0.500




14.183




0.212




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14.158




−0.066




0.139




14.783




0.146




0.500




14.152




0.245




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14.207




0.108




0.167




13.389




−0.004




0.500




14.277




0.113




0.889






14.412




0.083




0.167




13.497




0.004




0.500




13.885




0.949




0.889






14.290




0.132




0.222




14.523




0.493




0.500




14.214




0.179




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14.477




0.076




0.139




13.428




0.285




0.500




13.587




0.861




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14.056




−0.054




0.139




14.989




−0.574




0.500




13.958




0.436




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14.309




0.096




0.167




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0.372




0.500




13.891




0.498




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14.086




0.156




0.222




13.546




0.399




0.500




13.706




0.927




0.889






14.119




0.120




0.139




14.501




−0.147




0.500




13.973




0.929




0.889






14.306




0.098




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14.292




0.632




0.500




13.750




0.940




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14.330




−0.088




0.194




14.882




−0.450




0.500




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0.146




0.889






14.272




0.101




0.139




14.863




0.004




0.500




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0.757




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14.210




−0.073




0.139




13.382




0.331




0.639




13.572




0.660




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14.101




0.123




0.194




13.377




0.331




0.667




14.095




0.869




0.889






14.429




−0.100




0.167




13.313




0.146




0.556




13.527




0.667




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14.324




0.095




0.139




13.350




0.239




0.583




13.616




0.653




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14.415




−0.098




0.139




13.379




0.283




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14.204




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0.889






14.275




−0.081




0.167




13.346




0.237




0.611




14.378




0.584




0.917






14.040




−0.051




0.222




13.362




0.284




0.639




14.570




0.198




0.944






14.279




−0.081




0.194




13.433




0.106




0.583




14.607




−0.322




0.917






14.177




−0.069




0.194




13.442




0.368




0.583




14.556




−0.249




0.917






14.193




−0.069




0.222




13.428




0.325




0.556




14.432




0.472




0.944






14.188




0.145




0.222




13.397




0.378




0.667




14.638




−0.353




0.889






14.433




−0.100




0.194




13.439




0.418




0.639




14.641




−0.356




0.944






14.018




−0.049




0.167




13.394




0.329




0.611




14.468




0.430




0.917






14.050




0.130




0.194




13.372




0.233




0.639




14.535




−0.203




0.889






14.074




−0.056




0.194




13.385




0.281




0.667




14.647




0.108




0.889






14.121




−0.062




0.167




13.334




0.195




0.556




14.338




0.046




0.889






14.228




−0.075




0.194




13.355




0.186




0.611




14.646




0.069




0.917






14.002




0.134




0.167




13.381




0.112




0.583




14.627




0.149




0.889






14.016




0.133




0.139




13.394




0.152




0.611




14.582




−0.285




0.917






14.221




0.107




0.139




13.406




0.195




0.639




14.586




−0.279




0.889






14.152




0.117




0.194




13.364




0.240




0.556




14.570




0.231




0.917






14.361




0.089




0.167




13.321




0.096




0.556




14.662




−0.002




0.944






14.377




−0.093




0.167




13.421




0.069




0.556




14.410




0.510




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0.667




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14.192




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14.881




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0.833






15.433




−0.042




0.194




13.832




0.692




0.611




14.773




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0.833






15.404




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0.222




13.550




0.146




0.611




14.917




−0.436




0.833






15.457




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0.194




13.457




0.414




0.611




14.902




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0.861






15.129




0.005




0.167




13.647




0.593




0.611




14.956




−0.564




0.861






15.099




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0.194




13.783




0.672




0.611




14.791




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0.833






15.349




−0.031




0.139




13.917




0.132




0.611




14.718




0.039




0.833






15.481




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0.139




13.736




0.648




0.611




14.993




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0.833






15.249




−0.199




0.167




13.984




0.730




0.611




14.755




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0.833






15.355




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0.194




13.969




0.124




0.611




14.758




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0.861






15.503




−0.050




0.139




13.865




0.139




0.611




14.800




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0.833






15.074




0.003




0.194




14.036




0.735




0.611




14.746




−0.391




0.833






15.027




0.008




0.167




13.881




0.709




0.611




14.848




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14.996




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0.194




14.269




0.031




0.611




14.937




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0.139




13.565




0.527




0.611




14.801




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15.386




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0.167




14.171




0.071




0.611




14.860




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15.454




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0.167




14.242




0.702




0.611




14.684




0.072




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15.283




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0.167




14.141




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0.611




14.716




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15.337




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0.139




13.655




0.149




0.611




14.930




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15.150




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0.194




14.220




0.052




0.611




14.969




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0.139




13.760




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0.611




14.866




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13.606




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14.718




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0.833






15.440




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0.139




13.445




0.145




0.611




14.919




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0.139




14.316




0.009




0.611




14.899




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0.833






15.468




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0.222




13.708




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0.611




14.740




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15.100




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0.222




13.445




0.145




0.611




14.826




−0.507




0.833






15.050




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0.222




13.498




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0.611




14.699




0.082




0.833






15.388




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0.139




14.538




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14.721




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15.008




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0.222




14.362




0.008




0.639




14.888




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15.473




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0.194




14.563




0.446




0.667




14.962




−0.603




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15.494




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0.139




14.464




0.565




0.667




14.744




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0.861






15.334




−0.030




0.167




14.620




0.361




0.667




14.904




−0.623




0.833






15.201




−0.035




0.222




14.680




0.270




0.639




14.776




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0.861






15.041




0.007




0.139




14.653




0.314




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14.809




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0.833






15.044




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0.167




14.755




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0.667




14.954




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0.833






15.382




−0.035




0.194




14.625




0.359




0.639




14.845




−0.263




0.833






15.493




−0.098




0.222




14.571




−0.113




0.667




14.830




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0.861






15.228




−0.016




0.194




14.596




0.402




0.639




14.852




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0.833






15.058




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0.222




14.498




0.526




0.667




14.812




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15.201




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0.194




14.359




0.034




0.667




14.773




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0.833






15.144




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14.618




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14.772




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13.112




−0.050




0.333




14.426




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14.884




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13.244




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0.333




14.386




0.631




0.639




14.688




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13.107




0.051




0.306




14.730




0.179




0.639




14.930




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0.833






13.098




0.052




0.278




14.592




0.404




0.667




14.827




−0.220




0.833






13.384




−0.084




0.306




14.610




−0.147




0.667




14.703




0.030




0.861






13.268




0.180




0.306




14.403




0.007




0.667




14.879




−0.584




0.833






13.424




0.236




0.278




14.566




0.444




0.639




14.690




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0.833






13.173




0.131




0.306




14.452




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14.608




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13.305




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0.389




14.746




0.136




0.667




14.866




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13.190




−0.147




0.389




14.344




0.661




0.639




14.547




0.312




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13.122




−0.085




0.361




14.579




−0.136




0.639




14.454




−0.094




0.889






13.374




0.225




0.278




14.427




0.601




0.667




14.813




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0.889






13.263




−0.159




0.361




14.705




0.224




0.639




14.362




0.624




0.889






13.414




0.245




0.306




14.698




0.227




0.667




14.759




−0.140




0.889






13.311




−0.041




0.278




14.349




0.668




0.667




14.666




0.067




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13.323




0.213




0.278




14.648




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0.667




14.935




−0.559




0.889






13.379




−0.150




0.361




14.446




−0.021




0.667




14.883




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0.889






13.316




0.202




0.306




14.732




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0.639




14.426




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0.889






13.189




−0.124




0.333




14.464




0.561




0.639




14.831




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0.889






13.204




−0.155




0.361




14.407




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0.639




14.483




0.432




0.889






13.320




0.193




0.333




14.754




0.133




0.639




14.438




0.511




0.889






13.273




0.200




0.278




14.673




0.272




0.667




14.815




−0.560




0.889






13.174




0.173




0.278




14.495




−0.074




0.639




14.561




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13.151




−0.134




0.361




14.685




−0.217




0.667




14.783




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13.362




−0.042




0.278




14.489




−0.050




0.667




14.368




0.012




0.889






13.244




0.106




0.361




14.500




0.524




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14.685




0.026




0.889






13.415




0.254




0.333




14.768




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0.639




14.509




−0.166




0.889






13.184




−0.002




0.389




14.389




0.636




0.667




14.901




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13.203




0.064




0.361




14.531




0.487




0.667




14.693




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0.889






13.128




−0.049




0.306




14.647




0.317




0.667




14.397




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0.889






13.220




0.156




0.306




14.722




0.181




0.667




14.568




0.272




0.889






13.103




0.103




0.278




14.768




0.089




0.667




13.560




0.938




1.000






13.185




0.093




0.333




14.721




−0.254




0.667




13.668




0.999




0.972






13.104




−0.002




0.306




14.657




−0.205




0.639




13.573




0.839




1.000






13.286




0.147




0.361




14.695




−0.240




0.639




13.518




0.851




0.972






13.263




−0.159




0.361




14.530




−0.081




0.667




13.588




0.970




1.000






13.117




0.005




0.278




14.534




0.485




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13.790




0.710




1.000






13.333




0.176




0.389




14.801




−0.354




0.639




13.850




0.650




1.000






13.321




−0.156




0.361




15.086




−0.615




0.667




13.793




1.027




0.972






13.367




0.224




0.333




14.952




−0.291




0.639




13.708




1.014




0.972






13.437




−0.143




0.361




15.022




−0.475




0.667




13.750




1.023




0.972






13.259




−0.040




0.278




14.800




0.040




0.639




13.538




0.863




1.000






13.363




−0.152




0.389




15.038




−0.481




0.639




13.535




0.814




0.972






13.413




−0.119




0.333




14.983




−0.607




0.639




13.612




0.822




1.000






13.229




0.128




0.333




15.073




−0.761




0.667




13.688




0.786




1.000






13.278




−0.087




0.306




14.918




−0.239




0.667




13.798




0.675




0.972






13.329




0.186




0.361




14.856




−0.097




0.667




13.574




0.796




0.972






13.365




0.224




0.306




14.833




−0.395




0.639




13.820




0.681




1.000






13.172




−0.078




0.306




15.001




−0.428




0.667




13.733




0.731




0.972






13.116




0.005




0.333




15.043




−0.521




0.667




13.620




0.998




1.000






13.145




0.054




0.333




14.823




−0.008




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13.776




1.054




1.000






13.224




−0.088




0.306




15.060




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0.639




13.879




0.619




1.000






13.331




−0.086




0.306




15.104




−0.784




0.667




13.630




0.977




0.972






13.150




−0.109




0.389




15.021




−0.672




0.667




13.650




0.805




1.000






13.374




0.217




0.389




14.788




−0.332




0.667




13.565




0.922




0.972






13.418




0.261




0.361




14.834




−0.050




0.667




13.859




0.614




0.972






13.437




−0.081




0.306




15.164




−0.766




0.639




13.829




0.645




0.972






13.301




−0.128




0.333




14.895




−0.478




0.639




13.860




1.043




1.000






13.293




0.134




0.389




15.145




−0.718




0.639




13.724




0.764




1.000






13.255




0.090




0.389




15.108




−0.662




0.667




13.596




0.952




0.972






13.223




0.187




0.278




14.910




−0.197




0.639




13.696




0.754




0.972






13.244




−0.130




0.333




15.065




−0.568




0.667




13.574




0.796




0.972






13.247




−0.157




0.389




15.148




−0.756




0.667




13.560




0.938




1.000






13.414




−0.042




0.278




14.926




−0.521




0.639




13.655




1.022




1.000






13.133




0.097




0.306




14.994




−0.628




0.667




13.758




0.738




1.000






13.130




0.145




0.278




15.012




−0.651




0.639




13.537




0.902




1.000






13.156




−0.052




0.389




14.938




−0.541




0.667




13.615




0.783




0.972






13.218




0.045




0.389




14.819




−0.373




0.667




13.879




1.016




0.972






13.165




0.021




0.361




14.813




−0.004




0.667




13.656




0.771




0.972






13.224




−0.088




0.306




15.094




−0.784




0.639




13.537




0.889




0.972






13.208




−0.038




0.278




14.974




−0.339




0.639




13.766




0.704




0.972






13.417




0.256




0.389




15.103




−0.623




0.639




13.693




1.039




1.000






13.373




0.224




0.361




14.959




−0.333




0.667




13.734




1.050




1.000






13.134




−0.029




0.361




14.955




−0.564




0.639




13.836




1.024




0.972






13.158




−0.027




0.278




14.888




−0.149




0.639




13.819




1.051




1.000






13.357




−0.124




0.333




15.129




−0.709




0.667




14.099




0.885




0.972






13.420




−0.144




0.389




14.867




−0.102




0.639




14.277




0.121




0.972






13.208




−0.038




0.278




14.966




−0.585




0.667




13.978




0.489




0.972






13.139




−0.098




0.333




14.910




−0.498




0.667




14.116




0.323




0.972






13.274




0.161




0.333




14.995




−0.386




0.639




14.192




0.789




1.000






13.797




0.519




0.389




14.850




−0.415




0.667




14.125




0.327




1.000






13.609




−0.113




0.361




14.791




0.043




0.667




13.920




0.553




0.972






13.535




−0.125




0.389




14.897




−0.192




0.667




14.098




0.360




1.000






13.761




0.481




0.361




15.128




−0.797




0.639




14.188




0.791




0.972






13.465




0.296




0.361




15.124




−0.670




0.639




14.244




0.726




0.972






13.850




0.543




0.389




14.939




−0.286




0.667




14.043




0.940




1.000






13.592




−0.114




0.389




14.845




−0.055




0.639




14.088




0.357




0.972






13.696




0.463




0.389




15.081




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0.639




13.997




0.965




0.972






13.551




0.366




0.389




14.980




−0.380




0.667




13.890




0.584




0.972






13.877




−0.065




0.389




15.048




−0.716




0.667




14.044




0.426




1.000






13.598




0.400




0.389




14.777




0.086




0.639




14.143




0.290




0.972






13.820




−0.073




0.389




14.864




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0.639




14.135




0.852




1.000






13.763




−0.082




0.389




15.040




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0.639




13.949




0.521




0.972






13.461




0.294




0.389




14.880




−0.456




0.667




14.304




0.087




0.972






13.724




−0.092




0.361




15.067




−0.739




0.639




13.975




0.990




1.000






13.506




0.331




0.389




14.877




−0.144




0.667




14.297




0.658




0.972






13.935




−0.060




0.389




15.017




−0.433




0.639




14.075




0.912




1.000






13.494




−0.134




0.361




14.931




−0.244




0.639




14.282




0.128




1.000






13.478




−0.135




0.389




14.660




0.319




0.583




14.071




0.393




1.000






13.609




0.395




0.361




14.590




−0.189




0.556




14.256




0.161




1.000






13.958




0.584




0.389




14.416




0.595




0.583




14.224




0.189




0.972






13.954




−0.059




0.361




14.692




0.276




0.556




14.295




0.654




1.000






13.709




0.454




0.361




14.567




0.449




0.556




13.959




0.986




0.972






13.839




−0.073




0.361




14.407




−0.080




0.556




14.170




0.256




0.972






13.646




0.432




0.389




14.327




0.652




0.583




14.106




0.882




1.000






13.666




−0.102




0.361




14.675




−0.254




0.556




14.245




0.723




1.000






13.552




−0.123




0.361




14.628




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0.583




14.010




0.966




1.000






13.512




0.330




0.361




14.669




−0.241




0.583




14.216




0.759




0.972






13.867




0.530




0.361




14.587




−0.175




0.583




13.939




1.012




1.000






13.903




0.565




0.389




14.688




0.274




0.583




14.271




0.692




0.972






13.746




0.492




0.389




14.663




0.321




0.556




14.177




0.261




1.000






13.705




−0.092




0.389




14.410




0.592




0.556




14.005




0.456




0.972






13.648




−0.103




0.389




14.360




−0.056




0.556




13.900




1.029




1.000






14.338




−0.087




0.389




14.452




0.560




0.556




14.250




0.155




0.972






14.360




−0.083




0.361




14.496




0.526




0.583




14.309




0.095




1.000






14.186




0.621




0.389




14.493




0.526




0.556




14.033




0.423




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14.244




0.617




0.389




14.742




0.183




0.583




14.033




0.941




0.972






14.128




0.619




0.389




14.747




0.185




0.556




13.920




1.003




0.972






14.281




−0.075




0.389




14.501




−0.131




0.556




14.197




0.223




0.972






14.322




0.587




0.361




14.633




−0.222




0.556




14.219




0.756




1.000






14.207




0.602




0.361




14.756




−0.323




0.556




13.963




0.524




1.000






14.473




−0.112




0.361




14.716




0.229




0.583




14.159




0.824




0.972






14.051




−0.055




0.389




14.546




−0.159




0.556




14.271




0.689




1.000






14.433




0.550




0.361




14.533




0.488




0.583




14.203




0.228




1.000






14.129




−0.054




0.361




14.361




−0.037




0.583




14.066




0.914




0.972






14.265




0.597




0.361




14.544




−0.144




0.583




13.991




0.492




1.000






14.224




−0.066




0.389




14.567




0.448




0.583




14.129




0.855




0.972






14.148




0.601




0.361




14.454




−0.088




0.583




14.017




0.459




1.000






14.411




0.570




0.389




14.408




−0.062




0.583




14.151




0.294




1.000






14.014




0.600




0.389




14.716




−0.288




0.556




13.936




0.556




1.000






14.033




0.584




0.361




14.720




0.231




0.556




14.060




0.389




0.972






13.977




0.569




0.361




14.499




−0.115




0.583




13.907




0.588




1.000






14.167




−0.060




0.389




14.531




0.488




0.556




14.164




0.821




1.000






14.090




0.594




0.361




14.631




0.363




0.583




14.230




0.194




1.000






13.993




−0.056




0.389




14.365




0.621




0.556




14.371




0.552




0.972






14.462




0.544




0.389




14.600




0.406




0.583




14.386




−0.013




0.972






14.301




0.607




0.389




14.454




−0.105




0.556




14.607




−0.317




1.000






14.450




−0.119




0.389




14.749




−0.310




0.583




14.515




−0.175




1.000






14.303




−0.072




0.361




14.601




0.408




0.556




14.655




−0.387




1.000






14.071




−0.054




0.361




14.767




0.137




0.583




14.606




0.091




0.972






14.071




0.612




0.389




14.372




0.625




0.583




14.641




0.012




0.972






14.357




0.592




0.389




14.710




−0.275




0.583




14.504




0.286




1.000






14.109




−0.056




0.389




14.633




0.365




0.556




14.387




0.512




1.000






14.394




−0.102




0.389




14.457




0.561




0.583




14.626




0.015




1.000






13.863




−0.053




0.306




14.997




−0.608




0.556




14.624




0.052




0.972






13.756




−0.059




0.306




14.888




−0.470




0.583




14.622




−0.321




0.972






13.878




−0.044




0.278




14.964




−0.243




0.556




14.646




−0.356




0.972






13.703




−0.062




0.306




14.848




−0.003




0.556




14.496




0.325




0.972






13.933




0.318




0.278




15.189




−0.776




0.583




14.348




0.588




0.972






13.803




−0.069




0.333




15.015




−0.639




0.583




14.660




−0.063




1.000






13.663




0.338




0.306




15.149




−0.678




0.583




14.362




0.028




1.000






13.463




0.283




0.333




15.188




−0.820




0.556




14.495




−0.147




0.972






13.544




−0.074




0.306




15.074




−0.727




0.583




14.631




−0.353




1.000






13.672




−0.042




0.278




15.182




−0.730




0.556




14.365




0.548




1.000






13.728




0.293




0.278




15.009




−0.340




0.556




14.549




−0.214




0.972






13.924




0.491




0.333




15.098




−0.534




0.556




14.490




−0.140




1.000






13.779




0.300




0.278




15.162




−0.681




0.556




14.323




0.623




0.972






13.569




−0.042




0.278




15.170




−0.726




0.583




14.448




0.400




1.000






13.525




0.257




0.278




14.896




−0.099




0.556




14.414




−0.038




1.000






13.915




−0.058




0.333




15.032




−0.388




0.556




14.588




0.130




0.972






13.620




−0.042




0.278




14.899




−0.482




0.556




14.522




0.247




1.000






13.517




−0.042




0.278




15.086




−0.532




0.583




14.539




−0.210




1.000






13.859




−0.063




0.333




14.872




−0.051




0.556




14.441




−0.079




0.972






13.613




0.321




0.306




14.816




0.043




0.583




14.335




0.061




1.000






13.692




−0.083




0.333




14.953




−0.244




0.583




14.552




0.209




0.972






13.868




0.396




0.306




14.824




0.045




0.556




14.540




0.209




1.000






13.576




0.267




0.278




15.020




−0.388




0.583




14.574




−0.249




0.972






13.466




−0.043




0.278




14.773




0.138




0.556




14.584




−0.281




1.000






13.636




−0.091




0.333




15.128




−0.629




0.583




14.476




0.364




0.972






13.677




0.285




0.278




14.953




−0.553




0.583




14.515




0.287




0.972






13.724




−0.042




0.278




15.064




−0.484




0.583




14.408




0.475




1.000






13.597




−0.070




0.306




14.998




−0.340




0.583




14.457




0.402




0.972






13.512




0.311




0.333




14.786




−0.348




0.583




14.394




0.516




0.972






13.662




0.389




0.333




15.148




−0.828




0.556




14.388




−0.005




1.000






13.831




0.307




0.278




14.886




−0.100




0.583




14.358




0.020




0.972






13.809




−0.056




0.306




15.059




−0.694




0.556




14.609




0.054




1.000






13.474




0.247




0.278




14.975




−0.292




0.583




14.465




−0.106




1.000






13.765




0.434




0.333




15.029




−0.651




0.556




14.428




0.438




1.000






13.563




0.303




0.306




14.840




−0.005




0.583




14.468




−0.113




0.972






13.525




−0.106




0.333




14.987




−0.291




0.556




14.675




−0.067




0.972






13.817




0.383




0.306




14.792




0.090




0.583




14.416




0.478




0.972






13.561




0.338




0.333




15.102




−0.772




0.583




14.319




0.619




1.000






13.580




−0.098




0.333




15.120




−0.583




0.556




14.658




−0.027




0.972






13.916




−0.052




0.306




14.830




−0.400




0.556




14.575




0.132




1.000






13.827




−0.043




0.278




14.919




−0.147




0.556




14.331




0.054




0.972






13.817




0.455




0.333




15.201




−0.780




0.556




14.676




−0.102




1.000






13.513




0.284




0.306




14.921




−0.511




0.583




14.562




−0.245




1.000






13.765




0.369




0.306




14.931




−0.196




0.583




14.343




0.584




1.000






13.469




−0.113




0.333




14.932




−0.523




0.556




14.533




0.248




0.972






13.650




−0.066




0.306




15.089




−0.738




0.556




14.671




−0.392




0.972






13.882




0.313




0.278




14.984




−0.596




0.583




14.485




0.324




1.000






13.627




0.276




0.278




15.141




−0.632




0.556




14.557




0.170




1.000






13.611




0.364




0.333




14.863




−0.052




0.583




14.592




0.093




1.000






13.930




−0.046




0.278




15.131




−0.816




0.583




14.414




−0.046




0.972






13.870




0.474




0.333




14.799




0.092




0.556




14.467




0.362




1.000






13.920




0.408




0.306




14.864




−0.441




0.556




14.522




−0.180




0.972






13.490




−0.077




0.306




15.054




−0.437




0.556




14.570




0.170




0.972






13.713




0.412




0.333




14.821




−0.388




0.583




14.599




−0.285




0.972






13.463




0.265




0.306




14.942




−0.195




0.556




14.440




−0.072




1.000






13.775




−0.042




0.278




14.965




−0.565




0.556




14.437




0.441




0.972






13.714




0.354




0.306




15.107




−0.581




0.583




14.643




−0.024




1.000






13.747




−0.075




0.333




15.076




−0.485




0.556




14.823




−0.454




1.000






14.445




−0.098




0.306




15.119




−0.783




0.556




14.759




−0.504




1.000






14.238




0.432




0.306




15.169




−0.813




0.583




14.705




−0.456




1.000






13.985




0.322




0.278




14.909




−0.148




0.583




14.680




−0.421




1.000






14.341




−0.081




0.278




15.045




−0.683




0.583




14.760




−0.265




0.972






14.395




0.291




0.278




15.042




−0.436




0.583




14.693




−0.141




1.000






14.363




−0.082




0.333




14.794




−0.361




0.556




14.791




−0.376




1.000






14.201




0.532




0.333




14.855




−0.429




0.583




14.742




−0.258




1.000






14.343




0.416




0.306




14.778




−0.332




0.611




14.810




−0.385




0.972






14.196




−0.059




0.333




14.422




0.595




0.611




14.726




−0.186




0.972






14.443




−0.098




0.278




14.408




−0.041




0.611




14.774




−0.337




1.000






14.129




−0.056




0.306




14.736




0.180




0.611




14.720




−0.463




0.972






14.191




0.323




0.278




15.052




−0.483




0.611




14.827




−0.424




0.972






14.392




−0.089




0.278




14.534




0.485




0.611




14.807




−0.415




1.000






14.185




0.435




0.306




15.158




−0.723




0.611




14.726




−0.219




1.000






14.288




−0.071




0.306




14.703




−0.259




0.611




14.730




−0.490




1.000






14.239




−0.068




0.278




14.380




0.627




0.611




14.776




−0.305




0.972






14.418




−0.093




0.333




14.877




−0.102




0.611




14.840




−0.498




0.972






14.084




−0.053




0.333




14.942




−0.245




0.611




14.743




−0.226




0.972






14.344




0.302




0.278




14.657




0.316




0.611




14.745




−0.498




0.972






14.033




0.518




0.333




14.940




−0.539




0.611




14.709




−0.180




1.000






14.085




−0.054




0.278




15.030




−0.436




0.611




14.709




−0.146




0.972






14.445




0.385




0.306




15.116




−0.627




0.611




14.844




−0.464




0.972






14.290




−0.074




0.278




14.854




−0.055




0.611




14.771




−0.533




0.972






13.969




−0.051




0.306




14.599




0.403




0.611




14.793




−0.345




0.972






14.139




0.326




0.278




14.663




−0.224




0.611




14.794




−0.480




1.000






14.367




0.507




0.333




14.685




0.271




0.611




14.692




−0.107




0.972






14.022




−0.052




0.306




15.137




−0.675




0.611




14.804




−0.522




0.972






14.131




0.435




0.306




14.742




−0.294




0.611




14.695




−0.428




0.972






14.472




0.467




0.333




14.461




0.561




0.611




14.758




−0.297




1.000






14.291




0.426




0.306




14.832




−0.007




0.611






14.257




0.529




0.333




14.629




0.360




0.611






14.140




−0.155




0.333




14.362




−0.016




0.611






14.182




−0.059




0.306














It will also be appreciated that the internal bucket core profile disclosed in the above Table may be scaled up or down geometrically for use in other similar turbine designs. Consequently, the coordinate values set forth in Table 1 may be scaled upwardly or downwardly such that the core 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 non-dimensional Z coordinate value converted to inches, multiplied or divided by a constant number.




While the invention has been described in connection with what is presently considered to be the most practical and preferred embodiment, it is to be understood that the invention is not to be limited to the disclosed embodiment, but on the contrary, is intended to cover various modifications and equivalent arrangements included within the spirit and scope of the appended claims.



Claims
  • 1. A turbine bucket including an airfoil, a platform, a shank and a dovetail having an internal nominal core profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in Table I wherein the Z values are non-dimensional values from 0 to 1 convertible to Z distances in inches by multiplying the Z values by a height of the bucket in inches, and wherein X and Y are distances in inches which, when connected by smooth continuing arcs, define internal core profile sections at each distance Z along the bucket, the profile sections at the Z distances being joined smoothly with one another to form said bucket internal core profile.
  • 2. A turbine bucket according to claim 1 wherein said bucket has side walls and ribs extending therebetween, said ribs being spaced from one another between leading and trailing edges of the bucket and defining with internal wall surfaces of said side walls internal cooling passages along the length of the bucket, said smooth continuing arcs extending along the internal wall surfaces of the cooling passages and between adjacent passages along said side walls.
  • 3. A turbine bucket according to claim 2 wherein said smooth continuing arcs pass through junctures between the ribs and each of the side walls.
  • 4. A turbine bucket according to claim 1 wherein said bucket airfoil has an external airfoil shape, said internal core profile sections including generally airfoil-shaped portions within the bucket airfoil and generally conforming to profile sections of said external airfoil shape of the bucket airfoil less a wall thickness therebetween.
  • 5. A turbine bucket according to claim 1 forming part of a second stage of a turbine.
  • 6. A turbine bucket according to claim 1 wherein said internal core profile lies in an envelope within ±0.039 inches in a direction normal to any internal core surface location therealong.
  • 7. A turbine bucket including an airfoil, a platform, a shank and a dovetail, said bucket having an internal nominal core profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in Table I wherein the Z values are non-dimensional values from 0 to 1 convertible to Z distances in inches by multiplying the Z values by a height of the bucket in inches, and wherein X and Y are distances in inches which, when connected by smooth continuing arcs, define internal core profile sections at each Z distance along the bucket, the profile sections at the Z distances being joined smoothly with one another to form said bucket internal core profile, the X, Y and Z distances being scalable as a function of the same constant or number to provide a scaled-up or scaled-down internal core profile.
  • 8. A turbine bucket according to claim 7 wherein said bucket has side walls and ribs extending therebetween, said ribs being spaced from one another between leading and trailing edges of the bucket and defining with internal wall surfaces of said side walls internal cooling passages along the length of the bucket, said smooth continuing arcs extending along the internal wall surfaces of the cooling passages and between adjacent passages along said side walls.
  • 9. A turbine bucket according to claim 7 wherein said smooth continuing arcs pass through junctures between the ribs and each of the side walls.
  • 10. A turbine bucket according to claim 7 wherein said bucket airfoil has an external airfoil shape, said internal core profile sections including generally airfoil-shaped portions within the bucket airfoil and generally conforming to profile sections of said external airfoil shape of the bucket airfoil less a wall thickness therebetween.
  • 11. A turbine bucket according to claim 7 wherein said integral core shape lies in an envelope within ±0.039 inches in a direction normal to any internal core surface location therealong.
  • 12. A turbine comprising a turbine wheel having a plurality of buckets, each of said buckets including an airfoil, a platform, a shank and a dovetail, each bucket having an internal nominal core profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in Table I wherein the Z values are non-dimensional values from 0 to 1 convertible to Z distances in inches by multiplying the Z values by a height of the bucket in inches, and wherein X and Y are distances in inches which, when connected by smooth continuing arcs, define internal core profile sections at each distance Z along the bucket, the profile sections at the Z distances being joined smoothly with one another to form said bucket internal core profile.
  • 13. A turbine according to claim 12 wherein each said bucket has side walls and ribs extending therebetween, said ribs being spaced from one another between leading and trailing edges of the bucket and defining with internal wall surfaces of said side walls internal cooling passages along the length of the bucket, said smooth continuing arcs extending along the internal wall surfaces of the cooling passages and between adjacent passages along said side walls.
  • 14. A turbine according to claim 12 wherein said smooth continuing arcs pass through junctures between the ribs and each of the side walls.
  • 15. A turbine according to claim 12 wherein each said bucket has an external airfoil shape, said internal core profile sections including generally airfoil-shaped portions within the bucket airfoil and generally conforming to profile sections of said external airfoil shape of the bucket airfoil less a wall thickness therebetween.
  • 16. A turbine according to claim 12 wherein the turbine wheel comprises a second stage of the turbine.
  • 17. A turbine according to claim 12 wherein the turbine wheel has 60 buckets and X represents a distance parallel to the turbine axis of rotation.
  • 18. A turbine according to claim 12 wherein the X, Y and Z distances are scalable as a function of the same constant or number to provide scaled-up or scaled-down internal core profile.
US Referenced Citations (3)
Number Name Date Kind
5980209 Barry et al. Nov 1999 A
6450770 Wang et al. Sep 2002 B1
6461109 Wedlake et al. Oct 2002 B1