Abstract:
A turbine blade system including a blade airfoil having an airfoil shape with the blade airfoil having a nominal profile substantially in accordance with normalized Cartesian coordinate values Z set forth in a table 1 below and which values are dimensionless values that are convertible to corresponding absolute distance values that define nominal airfoil profile sections and which, when joined smoothly with adjacent ones thereof, form a complete nominal airfoil shape that is substantially matched by the airfoil shape of the blade airfoil. This blade airfoil can be supported on a ring platform having a support surface with a support surface shape in the vicinity of the location at which that blade airfoil is supported thereon formed in a similar manner.

Description:
BACKGROUND OF THE INVENTION 
     The present invention relates to turbine blades for turbomachinery such as gas turbine engines and, more particularly, to improved geometrical shapes for such blades and the platform from which they extend. 
     Turbine blades are mounted circumferentially on an inner diameter platform about a turbine shaft to allow rotation thereof in streams of working medium fluids to extract energy and work therefrom as those fluids flow around and past such blades through the flow passages between them. Such flows can be transonic in accelerating from below the speed of sound coming into the blade region to being above the speed of sound in the exit region. In these situations inefficiencies due to shock wave losses are important. 
     Blade airfoil surface profiles and the geometry of the airfoil and the platform on which the blade is mounted become very important in achieving high efficiencies. In addition, a blade design to be suitable must minimize the penalties imposed on the engine system by the weight and cost of the blades, and need for cooling air therein, a goal sought through reducing the number of blades provided about the platform circumference for each blade stage used. However, the remaining blades must then extract more work, the lift or loading of the blade, from the fluid streams passing thereby which tends to reduce blade efficiency. A high lift blade will have a Zweifel lift coefficient (the ratio of the actual load to the ideal load) that is greater than 1.1. Thus, there is a desire for a blade that achieves high efficiency during transonic operation while having a large lift loading. 
     BRIEF SUMMARY OF THE INVENTION 
     The present invention provides a turbine blade system including a blade airfoil having an airfoil shape with the blade airfoil having a nominal profile substantially in accordance with normalized Cartesian coordinate values of X, Y and Z set forth in Table 1 below and which values are dimensionless values that are convertible to corresponding absolute distance values through manipulating them in accord with corresponding normalization equations. The X and Y absolute distance values, when connected by smooth continuing arcs, define nominal airfoil profile sections at each Z absolute distance value, and these nominal airfoil profile sections, when joined smoothly with adjacent ones thereof, form a complete nominal airfoil shape that is substantially matched by the airfoil shape of the blade airfoil. This blade airfoil can be supported on a ring platform having a support surface with a support surface shape in the vicinity of the location at which that blade airfoil is supported thereon such that the support surface smoothly joins with the airfoil shape of that blade airfoil, the support surface having a nominal profile substantially in accordance with normalized Cartesian coordinate values of X, Y and Z set forth in Table 4 below and which values are dimensionless values that are convertible to corresponding absolute distance values through manipulating them in accord with corresponding normalization equations, and wherein X and Y absolute distance values at various Z absolute distance values, when connected by smooth continuing arcs, form a nominal support surface shape substantially matched by the support surface shape of the support surface. 
    
    
     
       BRIEF DESCRIPTION OF THE DRAWINGS 
         FIG. 1  provides a diagrammatic side view of a blade mounted on a rotatable platform adjacent a fluid guide vane, 
         FIG. 2  shows a pictorial perspective view of the turbine blade embodying the present invention, 
         FIG. 3  shows a side pictorial view of a platform ring stage having blades like that of  FIG. 2  mounted thereon as an embodiment of the present invention, 
         FIG. 4  shows a diagrammatic top view of a portion of  FIG. 3  marked with certain variables, 
         FIG. 5  shows a perspective diagram of the blade of  FIG. 2  that is shown with corresponding three-dimensional coordinate axes, 
         FIG. 6  shows a diagrammatic side view of the blade of  FIG. 2  marked with a plurality of sectioning lines arrayed along with a corresponding one of the coordinate dimensional axis from  FIG. 5 , 
         FIG. 7  shows a typical blade cross section view of the blade of  FIG. 2  for a section of that blade designated in  FIG. 6  that is shown with two of the corresponding two dimensional coordinates axes from  FIG. 5 , and 
         FIG. 8  shows a plurality of blade cross section views of the blade of  FIG. 2  for sections of that blade designated in  FIG. 6  as the sections selected ascend from the blade mounting platform. 
     
    
    
     DETAILED DESCRIPTION 
       FIG. 1  shows the relationship of a blade,  10 , mounted on a rotatable platform extending about an unseen turbine shaft adjacent a fluid guide vane,  11 . Above them is shown the edge of the engine wall limiting the outer extent of the fluid flow path past blade  10  and vane  11 , that is, forming the outer diameter,  12 , of this fluid flow passage containing blade  10  and vane  11 . Rotatable blade  10  has a gap,  13 , between the tip of that blade and outer diameter  12  but vane  11  is fixed to the structure providing this fluid flow passageway outer diameter as well as to the structure supporting it from below. That vane supporting structure and the platform on which blade  10  is mounted together limit the inner extent of the fluid flow path past blade  10  and vane  11 , that is, forming the inner diameter,  12 , of this fluid flow passage containing blade  10  and vane  11 . Blade  10  is shown having an outward extent from the platform on which it is mounted to its tip designated as its span,  15 . 
     Blade  10  and the inner diameter  12  surface of the platform on which blade  10  is mounted of the present invention are shown in the pictorial perspective view of  FIG. 2 , and a plurality of blades  10  so mounted are shown in  FIG. 3  circumferentially positioned about the rotatable ring platform supporting them on which the inner diameter surface  14  of the fluid passageway is indicated. Sixty such blades are so provided on the ring platform example shown in  FIG. 3 . In addition to what is shown in  FIGS. 2 and 3 , blades  10  can be positioned through being selectively rotated about a radial axis extending outward from the engine centerline from what is shown by up to about ±10°. 
       FIG. 4  shows a diagrammatic top view of a portion of the platform ring in  FIG. 3  with certain variables marked thereon used in calculating the Zweifel lift coefficient for blades  10 . The Zweifel lift coefficient is defined as the ratio of the actual load and the ideal load, and is given by:
 Zweifel=[(1 /g )* {dot over (m)}*ΔCu ]/[0.5 *ρ*W   2 ^2 *bx*h]   
where:
 
     g=acceleration due to gravity of 32.2 ft/s 2    
     {dot over (m)}=mass flow (lbm/s) 
     ΔCu=Cu 2 −Cu 1 =change in tangential velocity across the blade (ft/s) 
     ρ=density (lbm-s 2 /ft 4 ) 
     W 2 =exit relative velocity (ft/s) 
     bx=axial chord (ft) 
     h=span (ft) 
     A perspective diagram of the blade of  FIG. 2  is shown in  FIG. 5  with the three dimensional coordinates, X, Y and Z, of a Cartesian coordinate system shown that will be used in providing a description of the geometry of the blade, and surface of the platform supporting that blade, that is, a description of the shapes involved. The shape of blade  10  of the present invention can be specified using an outwardly stacked, or radially stacked, series of cross section portions of that blade, stacked along its span  15  extending outward from the ring center as indicated in  FIG. 6 , with the radial axis extending perpendicular to the engine centerline (and so the platform ring centerline) being designated the Z axis shown in  FIG. 5 . The remaining two axes in this coordinate system, the X and the Y axes, are used to specify the shape of a stack section in a cross section plane as indicated in  FIG. 7  with the X axis being in the axial direction extending parallel to the engine centerline and with the Y axis being in the tangential direction that is tangential to the ring platform and parallel to a direction of blade rotation at a point. The radially stacked sections so specified are to be smoothly joined together in providing a complete surface for a blade  10 . The inner diameter  14  surface of the flow passageway between the blades is also contoured as specified here and smoothly joined with each corresponding one of blades  10 . 
     Some definitions of terms used in the description include the leading edge as blade or airfoil point farthest toward the forward direction of the engine and the trailing edge as blade or airfoil point farthest toward the rearward from the forward direction of the engine. The axial chord of a blade or airfoil is the axial distance between the leading and trailing edges thereof. The pitch is the tangential distance between adjacent blades or airfoils mounted on the platform ring. The root, or inner diameter (ID) section of the blade or airfoil is the section thereof closest to the engine centerline, and the tip, or outer diameter (OD) section is the section thereof farthest form the engine centerline. The root radius is the radial distance from the engine centerline to the root section. 
     In addition, there are some normalization parameters used in normalization equations given below for use in converting normalized blade or airfoil surface coordinates for sections of the blade given in the tables below to absolute blade or airfoil coordinates to selectively scale such blades to the various sizes suited for various sized corresponding turbine engines. The blade root axial chord normalization parameter represented as Bx root  has a normalization parameter value of 1.155630 in. The blade span (form the ID section to the OD section) represented as h, as above, has a normalization parameter value of 1.905000 in. The blade root pitch represented as Pitch root  has a normalization parameter value of 1.081550 in., as determined through the platform ring radius and the number of blades selected to be mounted thereon, and the blade root radius represented as R root  has a normalization parameter value of 10.328000 in. 
     Table 1, Airfoil Surface (Normalized), tabulates the normalized section cold, uncoated airfoil surface coordinates for the 16 airfoil sections indicated in  FIG. 6  that describe the three dimensional shape of blade or airfoil  10  with a surface profile tolerance of ±0.0500 in. including coating and manufacturing variability. Each of these sections is normalized by its own axial chord (Bx). The coordinates are arranged such that they start at the leading edge, traverse clockwise around the airfoil on the convex surface to the trailing edge, and then continue on the concave surface of the section back to the leading edge. The span fraction z/h ranges from the root section of 0.0 to the tip (or outer diameter) section of 1.0. These coordinates can be translated to absolute coordinates using the root axial chord (BX root ) along with the values in Table 2, Axial Chord Distribution, and Table 3, Radial Stacking Distribution, set out below.  FIG. 8  shows a plurality of blade cross section views from the Table 1 defined sections 1, 4, 6, 9 and 16. 
     
       
         
               
             
               
               
               
             
               
             
               
               
               
             
               
             
               
               
               
             
               
             
               
               
               
             
               
             
               
               
               
             
               
             
               
               
               
             
               
             
               
               
               
             
               
             
               
               
               
             
               
             
               
               
               
             
               
             
               
               
               
             
               
             
               
               
               
             
               
             
               
               
               
             
               
             
               
               
               
             
               
             
               
               
               
             
               
             
               
               
               
             
               
             
               
               
               
             
               
             
               
               
               
             
           
               
                 TABLE 1 
               
             
             
               
                   
               
               
                 Airfoil Surface (Normalized) 
               
             
          
           
               
                   
                   
                 Span 
               
               
                 X/Bx 
                 Y/Bx 
                 Fraction 
               
               
                   
               
             
          
           
               
                 Section 1 
               
             
          
           
               
                 0.000000 
                 0.570139 
                 0.000000 
               
               
                 0.000597 
                 0.586044 
                 0.000000 
               
               
                 0.004664 
                 0.605055 
                 0.000000 
               
               
                 0.012824 
                 0.626541 
                 0.000000 
               
               
                 0.024497 
                 0.650347 
                 0.000000 
               
               
                 0.039078 
                 0.676627 
                 0.000000 
               
               
                 0.056956 
                 0.705061 
                 0.000000 
               
               
                 0.078537 
                 0.735270 
                 0.000000 
               
               
                 0.104705 
                 0.766396 
                 0.000000 
               
               
                 0.136333 
                 0.797253 
                 0.000000 
               
               
                 0.172711 
                 0.825342 
                 0.000000 
               
               
                 0.215129 
                 0.850852 
                 0.000000 
               
               
                 0.261537 
                 0.872650 
                 0.000000 
               
               
                 0.309693 
                 0.890233 
                 0.000000 
               
               
                 0.360911 
                 0.903992 
                 0.000000 
               
               
                 0.413471 
                 0.911044 
                 0.000000 
               
               
                 0.466456 
                 0.908820 
                 0.000000 
               
               
                 0.517761 
                 0.895382 
                 0.000000 
               
               
                 0.565025 
                 0.871317 
                 0.000000 
               
               
                 0.607279 
                 0.839274 
                 0.000000 
               
               
                 0.644687 
                 0.801684 
                 0.000000 
               
               
                 0.677431 
                 0.759966 
                 0.000000 
               
               
                 0.705840 
                 0.715177 
                 0.000000 
               
               
                 0.730666 
                 0.668319 
                 0.000000 
               
               
                 0.754714 
                 0.621055 
                 0.000000 
               
               
                 0.779384 
                 0.574102 
                 0.000000 
               
               
                 0.803847 
                 0.527055 
                 0.000000 
               
               
                 0.826908 
                 0.479288 
                 0.000000 
               
               
                 0.847339 
                 0.432275 
                 0.000000 
               
               
                 0.866402 
                 0.384682 
                 0.000000 
               
               
                 0.883951 
                 0.338396 
                 0.000000 
               
               
                 0.899873 
                 0.295285 
                 0.000000 
               
               
                 0.915016 
                 0.253766 
                 0.000000 
               
               
                 0.928853 
                 0.215536 
                 0.000000 
               
               
                 0.941452 
                 0.180611 
                 0.000000 
               
               
                 0.952831 
                 0.149010 
                 0.000000 
               
               
                 0.963007 
                 0.120731 
                 0.000000 
               
               
                 0.971989 
                 0.095783 
                 0.000000 
               
               
                 0.979769 
                 0.074159 
                 0.000000 
               
               
                 0.986354 
                 0.055866 
                 0.000000 
               
               
                 0.991745 
                 0.040895 
                 0.000000 
               
               
                 0.995933 
                 0.029248 
                 0.000000 
               
               
                 0.998927 
                 0.020932 
                 0.000000 
               
               
                 1.000000 
                 0.013940 
                 0.000000 
               
               
                 0.998667 
                 0.008809 
                 0.000000 
               
               
                 0.996824 
                 0.005789 
                 0.000000 
               
               
                 0.994332 
                 0.003288 
                 0.000000 
               
               
                 0.992887 
                 0.002267 
                 0.000000 
               
               
                 0.991338 
                 0.001428 
                 0.000000 
               
               
                 0.989131 
                 0.000597 
                 0.000000 
               
               
                 0.986830 
                 0.000112 
                 0.000000 
               
               
                 0.984476 
                 0.000000 
                 0.000000 
               
               
                 0.980980 
                 0.000511 
                 0.000000 
               
               
                 0.990248 
                 0.000969 
                 0.000000 
               
               
                 0.976679 
                 0.002432 
                 0.000000 
               
               
                 0.972457 
                 0.006525 
                 0.000000 
               
               
                 0.968225 
                 0.013594 
                 0.000000 
               
               
                 0.962722 
                 0.022654 
                 0.000000 
               
               
                 0.955851 
                 0.033627 
                 0.000000 
               
               
                 0.947526 
                 0.046468 
                 0.000000 
               
               
                 0.937644 
                 0.061101 
                 0.000000 
               
               
                 0.926092 
                 0.077438 
                 0.000000 
               
               
                 0.912853 
                 0.095472 
                 0.000000 
               
               
                 0.897900 
                 0.115158 
                 0.000000 
               
               
                 0.881095 
                 0.136384 
                 0.000000 
               
               
                 0.862421 
                 0.159134 
                 0.000000 
               
               
                 0.842614 
                 0.182472 
                 0.000000 
               
               
                 0.820462 
                 0.206874 
                 0.000000 
               
               
                 0.796708 
                 0.231389 
                 0.000000 
               
               
                 0.772410 
                 0.255367 
                 0.000000 
               
               
                 0.746787 
                 0.279674 
                 0.000000 
               
               
                 0.720430 
                 0.303177 
                 0.000000 
               
               
                 0.693319 
                 0.325805 
                 0.000000 
               
               
                 0.665715 
                 0.347845 
                 0.000000 
               
               
                 0.637531 
                 0.369123 
                 0.000000 
               
               
                 0.608586 
                 0.389363 
                 0.000000 
               
               
                 0.578957 
                 0.408582 
                 0.000000 
               
               
                 0.548688 
                 0.426772 
                 0.000000 
               
               
                 0.517657 
                 0.443628 
                 0.000000 
               
               
                 0.485804 
                 0.458875 
                 0.000000 
               
               
                 0.453138 
                 0.472288 
                 0.000000 
               
               
                 0.419745 
                 0.483788 
                 0.000000 
               
               
                 0.385729 
                 0.493289 
                 0.000000 
               
               
                 0.351211 
                 0.500749 
                 0.000000 
               
               
                 0.317550 
                 0.506451 
                 0.000000 
               
               
                 0.283663 
                 0.510570 
                 0.000000 
               
               
                 0.250772 
                 0.512690 
                 0.000000 
               
               
                 0.220166 
                 0.513019 
                 0.000000 
               
               
                 0.190736 
                 0.512465 
                 0.000000 
               
               
                 0.163686 
                 0.511392 
                 0.000000 
               
               
                 0.139006 
                 0.509904 
                 0.000000 
               
               
                 0.116681 
                 0.508562 
                 0.000000 
               
               
                 0.096675 
                 0.508554 
                 0.000000 
               
               
                 0.079074 
                 0.510016 
                 0.000000 
               
               
                 0.063913 
                 0.512110 
                 0.000000 
               
               
                 0.051141 
                 0.514265 
                 0.000000 
               
               
                 0.040774 
                 0.516428 
                 0.000000 
               
               
                 0.032831 
                 0.518618 
                 0.000000 
               
               
                 0.027318 
                 0.520686 
                 0.000000 
               
               
                 0.023113 
                 0.522814 
                 0.000000 
               
               
                 0.020145 
                 0.524718 
                 0.000000 
               
               
                 0.018267 
                 0.526137 
                 0.000000 
               
               
                 0.016493 
                 0.527686 
                 0.000000 
               
               
                 0.015636 
                 0.528500 
                 0.000000 
               
               
                 0.013629 
                 0.530654 
                 0.000000 
               
               
                 0.012521 
                 0.532030 
                 0.000000 
               
               
                 0.010496 
                 0.534929 
                 0.000000 
               
               
                 0.008705 
                 0.537975 
                 0.000000 
               
               
                 0.006377 
                 0.542734 
                 0.000000 
               
               
                 0.003790 
                 0.549319 
                 0.000000 
               
               
                 0.001506 
                 0.557860 
                 0.000000 
               
               
                 0.000000 
                 0.570139 
                 0.000000 
               
             
          
           
               
                 Section 2 
               
             
          
           
               
                 0.000000 
                 0.619250 
                 0.053543 
               
               
                 0.000761 
                 0.635521 
                 0.053543 
               
               
                 0.004495 
                 0.655085 
                 0.053543 
               
               
                 0.011954 
                 0.677408 
                 0.053543 
               
               
                 0.022934 
                 0.702245 
                 0.053543 
               
               
                 0.036861 
                 0.729691 
                 0.053543 
               
               
                 0.053929 
                 0.759563 
                 0.053543 
               
               
                 0.074580 
                 0.791486 
                 0.053543 
               
               
                 0.100266 
                 0.824260 
                 0.053543 
               
               
                 0.132287 
                 0.856254 
                 0.053543 
               
               
                 0.169626 
                 0.884913 
                 0.053543 
               
               
                 0.213185 
                 0.910847 
                 0.053543 
               
               
                 0.261045 
                 0.932436 
                 0.053543 
               
               
                 0.311089 
                 0.948301 
                 0.053543 
               
               
                 0.364496 
                 0.958237 
                 0.053543 
               
               
                 0.418779 
                 0.960078 
                 0.053543 
               
               
                 0.472513 
                 0.952150 
                 0.053543 
               
               
                 0.523487 
                 0.933409 
                 0.053543 
               
               
                 0.569541 
                 0.904618 
                 0.053543 
               
               
                 0.609880 
                 0.868252 
                 0.053543 
               
               
                 0.644803 
                 0.826649 
                 0.053543 
               
               
                 0.675117 
                 0.781585 
                 0.053543 
               
               
                 0.701944 
                 0.734354 
                 0.053543 
               
               
                 0.726241 
                 0.685778 
                 0.053543 
               
               
                 0.750139 
                 0.637008 
                 0.053543 
               
               
                 0.774604 
                 0.588512 
                 0.053543 
               
               
                 0.798901 
                 0.539936 
                 0.053543 
               
               
                 0.822012 
                 0.490785 
                 0.053543 
               
               
                 0.842761 
                 0.442554 
                 0.053543 
               
               
                 0.862297 
                 0.393819 
                 0.053543 
               
               
                 0.880401 
                 0.346484 
                 0.053543 
               
               
                 0.896876 
                 0.302365 
                 0.053543 
               
               
                 0.912528 
                 0.259903 
                 0.053543 
               
               
                 0.926818 
                 0.220786 
                 0.053543 
               
               
                 0.939807 
                 0.185049 
                 0.053543 
               
               
                 0.951495 
                 0.152700 
                 0.053543 
               
               
                 0.961927 
                 0.123740 
                 0.053543 
               
               
                 0.971102 
                 0.098187 
                 0.053543 
               
               
                 0.979048 
                 0.076031 
                 0.053543 
               
               
                 0.985772 
                 0.057282 
                 0.053543 
               
               
                 0.991276 
                 0.041949 
                 0.053543 
               
               
                 0.995541 
                 0.030013 
                 0.053543 
               
               
                 0.998593 
                 0.021492 
                 0.053543 
               
               
                 1.000000 
                 0.014387 
                 0.053543 
               
               
                 0.998841 
                 0.009078 
                 0.053543 
               
               
                 0.997036 
                 0.005937 
                 0.053543 
               
               
                 0.994523 
                 0.003327 
                 0.053543 
               
               
                 0.993054 
                 0.002274 
                 0.053543 
               
               
                 0.991462 
                 0.001407 
                 0.053543 
               
               
                 0.990356 
                 0.000938 
                 0.053543 
               
               
                 0.989214 
                 0.000566 
                 0.053543 
               
               
                 0.986852 
                 0.000088 
                 0.053543 
               
               
                 0.984445 
                 0.000000 
                 0.053543 
               
               
                 0.980888 
                 0.000602 
                 0.053543 
               
               
                 0.976553 
                 0.002699 
                 0.053543 
               
               
                 0.972447 
                 0.007105 
                 0.053543 
               
               
                 0.968103 
                 0.014325 
                 0.053543 
               
               
                 0.962493 
                 0.023598 
                 0.053543 
               
               
                 0.955538 
                 0.034861 
                 0.053543 
               
               
                 0.947186 
                 0.048098 
                 0.053543 
               
               
                 0.937365 
                 0.063255 
                 0.053543 
               
               
                 0.925986 
                 0.080261 
                 0.053543 
               
               
                 0.912864 
                 0.098992 
                 0.053543 
               
               
                 0.897884 
                 0.119360 
                 0.053543 
               
               
                 0.881073 
                 0.141366 
                 0.053543 
               
               
                 0.862439 
                 0.164999 
                 0.053543 
               
               
                 0.842805 
                 0.189375 
                 0.053543 
               
               
                 0.820968 
                 0.215052 
                 0.053543 
               
               
                 0.797565 
                 0.240951 
                 0.053543 
               
               
                 0.773419 
                 0.266168 
                 0.053543 
               
               
                 0.747750 
                 0.291579 
                 0.053543 
               
               
                 0.721410 
                 0.316283 
                 0.053543 
               
               
                 0.694432 
                 0.340288 
                 0.053543 
               
               
                 0.667144 
                 0.363948 
                 0.053543 
               
               
                 0.639538 
                 0.387245 
                 0.053543 
               
               
                 0.611340 
                 0.409807 
                 0.053543 
               
               
                 0.582575 
                 0.431644 
                 0.053543 
               
               
                 0.553314 
                 0.452818 
                 0.053543 
               
               
                 0.523337 
                 0.472947 
                 0.053543 
               
               
                 0.492360 
                 0.491519 
                 0.053543 
               
               
                 0.460339 
                 0.508224 
                 0.053543 
               
               
                 0.427406 
                 0.523054 
                 0.053543 
               
               
                 0.393589 
                 0.535715 
                 0.053543 
               
               
                 0.358913 
                 0.545820 
                 0.053543 
               
               
                 0.324813 
                 0.553305 
                 0.053543 
               
               
                 0.290314 
                 0.558641 
                 0.053543 
               
               
                 0.256736 
                 0.561658 
                 0.053543 
               
               
                 0.225449 
                 0.562472 
                 0.053543 
               
               
                 0.195357 
                 0.561764 
                 0.053543 
               
               
                 0.167706 
                 0.560339 
                 0.053543 
               
               
                 0.142480 
                 0.558773 
                 0.053543 
               
               
                 0.119626 
                 0.557756 
                 0.053543 
               
               
                 0.099160 
                 0.557862 
                 0.053543 
               
               
                 0.081137 
                 0.558933 
                 0.053543 
               
               
                 0.065529 
                 0.560109 
                 0.053543 
               
               
                 0.052372 
                 0.561622 
                 0.053543 
               
               
                 0.041763 
                 0.563826 
                 0.053543 
               
               
                 0.033738 
                 0.566383 
                 0.053543 
               
               
                 0.028208 
                 0.568754 
                 0.053543 
               
               
                 0.023969 
                 0.571054 
                 0.053543 
               
               
                 0.020943 
                 0.573019 
                 0.053543 
               
               
                 0.019015 
                 0.574461 
                 0.053543 
               
               
                 0.017174 
                 0.576018 
                 0.053543 
               
               
                 0.016289 
                 0.576823 
                 0.053543 
               
               
                 0.014192 
                 0.578991 
                 0.053543 
               
               
                 0.013016 
                 0.580371 
                 0.053543 
               
               
                 0.010865 
                 0.583282 
                 0.053543 
               
               
                 0.008954 
                 0.586362 
                 0.053543 
               
               
                 0.006459 
                 0.591184 
                 0.053543 
               
               
                 0.003769 
                 0.597908 
                 0.053543 
               
               
                 0.001433 
                 0.606650 
                 0.053543 
               
               
                 0.000000 
                 0.619250 
                 0.053543 
               
             
          
           
               
                 Section 3 
               
             
          
           
               
                 0.000000 
                 0.702504 
                 0.142782 
               
               
                 0.001098 
                 0.719381 
                 0.142782 
               
               
                 0.004610 
                 0.739743 
                 0.142782 
               
               
                 0.011279 
                 0.763234 
                 0.142782 
               
               
                 0.021360 
                 0.789543 
                 0.142782 
               
               
                 0.034440 
                 0.818677 
                 0.142782 
               
               
                 0.050522 
                 0.850538 
                 0.142782 
               
               
                 0.070162 
                 0.884759 
                 0.142782 
               
               
                 0.095409 
                 0.919822 
                 0.142782 
               
               
                 0.128047 
                 0.953585 
                 0.142782 
               
               
                 0.166933 
                 0.983141 
                 0.142782 
               
               
                 0.212763 
                 1.008946 
                 0.142782 
               
               
                 0.263577 
                 1.028586 
                 0.142782 
               
               
                 0.316862 
                 1.039956 
                 0.142782 
               
               
                 0.373165 
                 1.042371 
                 0.142782 
               
               
                 0.429029 
                 1.034934 
                 0.142782 
               
               
                 0.482597 
                 1.017426 
                 0.142782 
               
               
                 0.531875 
                 0.990093 
                 0.142782 
               
               
                 0.575152 
                 0.953988 
                 0.142782 
               
               
                 0.611989 
                 0.911342 
                 0.142782 
               
               
                 0.642999 
                 0.864287 
                 0.142782 
               
               
                 0.669874 
                 0.814753 
                 0.142782 
               
               
                 0.694628 
                 0.764122 
                 0.142782 
               
               
                 0.718329 
                 0.712987 
                 0.142782 
               
               
                 0.742113 
                 0.661898 
                 0.142782 
               
               
                 0.766363 
                 0.611028 
                 0.142782 
               
               
                 0.790521 
                 0.560113 
                 0.142782 
               
               
                 0.813875 
                 0.508823 
                 0.142782 
               
               
                 0.835271 
                 0.458722 
                 0.142782 
               
               
                 0.855734 
                 0.408236 
                 0.142782 
               
               
                 0.874852 
                 0.359233 
                 0.142782 
               
               
                 0.892269 
                 0.313605 
                 0.142782 
               
               
                 0.908781 
                 0.269642 
                 0.142782 
               
               
                 0.923801 
                 0.229128 
                 0.142782 
               
               
                 0.937385 
                 0.192089 
                 0.142782 
               
               
                 0.949570 
                 0.158545 
                 0.142782 
               
               
                 0.960400 
                 0.128505 
                 0.142782 
               
               
                 0.969868 
                 0.101958 
                 0.142782 
               
               
                 0.978055 
                 0.078952 
                 0.142782 
               
               
                 0.984971 
                 0.059477 
                 0.142782 
               
               
                 0.990633 
                 0.043551 
                 0.142782 
               
               
                 0.995015 
                 0.031157 
                 0.142782 
               
               
                 0.998143 
                 0.022302 
                 0.142782 
               
               
                 1.000000 
                 0.015011 
                 0.142782 
               
               
                 0.999122 
                 0.009449 
                 0.142782 
               
               
                 0.997375 
                 0.006129 
                 0.142782 
               
               
                 0.994832 
                 0.003357 
                 0.142782 
               
               
                 0.993313 
                 0.002241 
                 0.142782 
               
               
                 0.991667 
                 0.001345 
                 0.142782 
               
               
                 0.990514 
                 0.000851 
                 0.142782 
               
               
                 0.989316 
                 0.000476 
                 0.142782 
               
               
                 0.986846 
                 0.000018 
                 0.142782 
               
               
                 0.984339 
                 0.000000 
                 0.142782 
               
               
                 0.980653 
                 0.000778 
                 0.142782 
               
               
                 0.976271 
                 0.003238 
                 0.142782 
               
               
                 0.972365 
                 0.008141 
                 0.142782 
               
               
                 0.967837 
                 0.015670 
                 0.142782 
               
               
                 0.962019 
                 0.025357 
                 0.142782 
               
               
                 0.954884 
                 0.037176 
                 0.142782 
               
               
                 0.946395 
                 0.051107 
                 0.142782 
               
               
                 0.936544 
                 0.067161 
                 0.142782 
               
               
                 0.925265 
                 0.085273 
                 0.142782 
               
               
                 0.912193 
                 0.105215 
                 0.142782 
               
               
                 0.897127 
                 0.126849 
                 0.142782 
               
               
                 0.880231 
                 0.150248 
                 0.142782 
               
               
                 0.861552 
                 0.175468 
                 0.142782 
               
               
                 0.841985 
                 0.201584 
                 0.142782 
               
               
                 0.820379 
                 0.229301 
                 0.142782 
               
               
                 0.797281 
                 0.257430 
                 0.142782 
               
               
                 0.773278 
                 0.284800 
                 0.142782 
               
               
                 0.747601 
                 0.312343 
                 0.142782 
               
               
                 0.721357 
                 0.339346 
                 0.142782 
               
               
                 0.694664 
                 0.365902 
                 0.142782 
               
               
                 0.667908 
                 0.392402 
                 0.142782 
               
               
                 0.641206 
                 0.418957 
                 0.142782 
               
               
                 0.614184 
                 0.445174 
                 0.142782 
               
               
                 0.586806 
                 0.471034 
                 0.142782 
               
               
                 0.559226 
                 0.496666 
                 0.142782 
               
               
                 0.531097 
                 0.521693 
                 0.142782 
               
               
                 0.501816 
                 0.545367 
                 0.142782 
               
               
                 0.471263 
                 0.567385 
                 0.142782 
               
               
                 0.439594 
                 0.587748 
                 0.142782 
               
               
                 0.406581 
                 0.605860 
                 0.142782 
               
               
                 0.372067 
                 0.620926 
                 0.142782 
               
               
                 0.337499 
                 0.632324 
                 0.142782 
               
               
                 0.302107 
                 0.640831 
                 0.142782 
               
               
                 0.267392 
                 0.646310 
                 0.142782 
               
               
                 0.234836 
                 0.648588 
                 0.142782 
               
               
                 0.203460 
                 0.648122 
                 0.142782 
               
               
                 0.174654 
                 0.646301 
                 0.142782 
               
               
                 0.148364 
                 0.644380 
                 0.142782 
               
               
                 0.124544 
                 0.643218 
                 0.142782 
               
               
                 0.103212 
                 0.642651 
                 0.142782 
               
               
                 0.084386 
                 0.642423 
                 0.142782 
               
               
                 0.068076 
                 0.641892 
                 0.142782 
               
               
                 0.054282 
                 0.642340 
                 0.142782 
               
               
                 0.043186 
                 0.644472 
                 0.142782 
               
               
                 0.034907 
                 0.647417 
                 0.142782 
               
               
                 0.029263 
                 0.650152 
                 0.142782 
               
               
                 0.024918 
                 0.652677 
                 0.142782 
               
               
                 0.021771 
                 0.654754 
                 0.142782 
               
               
                 0.019759 
                 0.656235 
                 0.142782 
               
               
                 0.017819 
                 0.657836 
                 0.142782 
               
               
                 0.016877 
                 0.658669 
                 0.142782 
               
               
                 0.014664 
                 0.660882 
                 0.142782 
               
               
                 0.013410 
                 0.662282 
                 0.142782 
               
               
                 0.011087 
                 0.665237 
                 0.142782 
               
               
                 0.009029 
                 0.668383 
                 0.142782 
               
               
                 0.006358 
                 0.673341 
                 0.142782 
               
               
                 0.003568 
                 0.680321 
                 0.142782 
               
               
                 0.001235 
                 0.689414 
                 0.142782 
               
               
                 0.000000 
                 0.702504 
                 0.142782 
               
             
          
           
               
                 Section 4 
               
             
          
           
               
                 0.000000 
                 0.803080 
                 0.249869 
               
               
                 0.001579 
                 0.820563 
                 0.249869 
               
               
                 0.005418 
                 0.841666 
                 0.249869 
               
               
                 0.011819 
                 0.866193 
                 0.249869 
               
               
                 0.021312 
                 0.893867 
                 0.249869 
               
               
                 0.033811 
                 0.924568 
                 0.249869 
               
               
                 0.049440 
                 0.958162 
                 0.249869 
               
               
                 0.068946 
                 0.994166 
                 0.249869 
               
               
                 0.094380 
                 1.031116 
                 0.249869 
               
               
                 0.127737 
                 1.066667 
                 0.249869 
               
               
                 0.168309 
                 1.097065 
                 0.249869 
               
               
                 0.217305 
                 1.121185 
                 0.249869 
               
               
                 0.272021 
                 1.135462 
                 0.249869 
               
               
                 0.328505 
                 1.138317 
                 0.249869 
               
               
                 0.386341 
                 1.129524 
                 0.249869 
               
               
                 0.441568 
                 1.110227 
                 0.249869 
               
               
                 0.492625 
                 1.081663 
                 0.249869 
               
               
                 0.538217 
                 1.045006 
                 0.249869 
               
               
                 0.577276 
                 1.001447 
                 0.249869 
               
               
                 0.609971 
                 0.952933 
                 0.249869 
               
               
                 0.637353 
                 0.901233 
                 0.249869 
               
               
                 0.661643 
                 0.848011 
                 0.249869 
               
               
                 0.685035 
                 0.794391 
                 0.249869 
               
               
                 0.708474 
                 0.740791 
                 0.249869 
               
               
                 0.732347 
                 0.687379 
                 0.249869 
               
               
                 0.756581 
                 0.634129 
                 0.249869 
               
               
                 0.780804 
                 0.580878 
                 0.249869 
               
               
                 0.804603 
                 0.527429 
                 0.249869 
               
               
                 0.826935 
                 0.475474 
                 0.249869 
               
               
                 0.848663 
                 0.423263 
                 0.249869 
               
               
                 0.869124 
                 0.372641 
                 0.249869 
               
               
                 0.887693 
                 0.325460 
                 0.249869 
               
               
                 0.905185 
                 0.279953 
                 0.249869 
               
               
                 0.920994 
                 0.237983 
                 0.249869 
               
               
                 0.935214 
                 0.199576 
                 0.249869 
               
               
                 0.947903 
                 0.164763 
                 0.249869 
               
               
                 0.959117 
                 0.133571 
                 0.249869 
               
               
                 0.968884 
                 0.106000 
                 0.249869 
               
               
                 0.977280 
                 0.082079 
                 0.249869 
               
               
                 0.984333 
                 0.061817 
                 0.249869 
               
               
                 0.990101 
                 0.045242 
                 0.249869 
               
               
                 0.994592 
                 0.032346 
                 0.249869 
               
               
                 0.997797 
                 0.023146 
                 0.249869 
               
               
                 1.000000 
                 0.015658 
                 0.249869 
               
               
                 0.999404 
                 0.009843 
                 0.249869 
               
               
                 0.997712 
                 0.006325 
                 0.249869 
               
               
                 0.995131 
                 0.003404 
                 0.249869 
               
               
                 0.993571 
                 0.002231 
                 0.249869 
               
               
                 0.991859 
                 0.001295 
                 0.249869 
               
               
                 0.990640 
                 0.000794 
                 0.249869 
               
               
                 0.989363 
                 0.000407 
                 0.249869 
               
               
                 0.986744 
                 0.000000 
                 0.249869 
               
               
                 0.984097 
                 0.000085 
                 0.249869 
               
               
                 0.980248 
                 0.001135 
                 0.249869 
               
               
                 0.975861 
                 0.004113 
                 0.249869 
               
               
                 0.972098 
                 0.009578 
                 0.249869 
               
               
                 0.967371 
                 0.017577 
                 0.249869 
               
               
                 0.961291 
                 0.027845 
                 0.249869 
               
               
                 0.953860 
                 0.040411 
                 0.249869 
               
               
                 0.945076 
                 0.055265 
                 0.249869 
               
               
                 0.934950 
                 0.072397 
                 0.249869 
               
               
                 0.923443 
                 0.091799 
                 0.249869 
               
               
                 0.910177 
                 0.113233 
                 0.249869 
               
               
                 0.894917 
                 0.136540 
                 0.249869 
               
               
                 0.877785 
                 0.161804 
                 0.249869 
               
               
                 0.858884 
                 0.189062 
                 0.249869 
               
               
                 0.839028 
                 0.217276 
                 0.249869 
               
               
                 0.817102 
                 0.247268 
                 0.249869 
               
               
                 0.793833 
                 0.277911 
                 0.249869 
               
               
                 0.769808 
                 0.307969 
                 0.249869 
               
               
                 0.744261 
                 0.338499 
                 0.249869 
               
               
                 0.718345 
                 0.368708 
                 0.249869 
               
               
                 0.692173 
                 0.398699 
                 0.249869 
               
               
                 0.666077 
                 0.428766 
                 0.249869 
               
               
                 0.640237 
                 0.459050 
                 0.249869 
               
               
                 0.614283 
                 0.489231 
                 0.249869 
               
               
                 0.588196 
                 0.519298 
                 0.249869 
               
               
                 0.562176 
                 0.549421 
                 0.249869 
               
               
                 0.535882 
                 0.579309 
                 0.249869 
               
               
                 0.508547 
                 0.608241 
                 0.249869 
               
               
                 0.480088 
                 0.636077 
                 0.249869 
               
               
                 0.450569 
                 0.662787 
                 0.249869 
               
               
                 0.419377 
                 0.687512 
                 0.249869 
               
               
                 0.386105 
                 0.709362 
                 0.249869 
               
               
                 0.351982 
                 0.727138 
                 0.249869 
               
               
                 0.316261 
                 0.741443 
                 0.249869 
               
               
                 0.280502 
                 0.751541 
                 0.249869 
               
               
                 0.246398 
                 0.756751 
                 0.249869 
               
               
                 0.213239 
                 0.757498 
                 0.249869 
               
               
                 0.182775 
                 0.755578 
                 0.249869 
               
               
                 0.155053 
                 0.752818 
                 0.249869 
               
               
                 0.129969 
                 0.750236 
                 0.249869 
               
               
                 0.107589 
                 0.747428 
                 0.249869 
               
               
                 0.087903 
                 0.744478 
                 0.249869 
               
               
                 0.070913 
                 0.741528 
                 0.249869 
               
               
                 0.056342 
                 0.740677 
                 0.249869 
               
               
                 0.044533 
                 0.742427 
                 0.249869 
               
               
                 0.035740 
                 0.745424 
                 0.249869 
               
               
                 0.029774 
                 0.748336 
                 0.249869 
               
               
                 0.025198 
                 0.751021 
                 0.249869 
               
               
                 0.021888 
                 0.753234 
                 0.249869 
               
               
                 0.019770 
                 0.754822 
                 0.249869 
               
               
                 0.017728 
                 0.756524 
                 0.249869 
               
               
                 0.016735 
                 0.757403 
                 0.249869 
               
               
                 0.014428 
                 0.759729 
                 0.249869 
               
               
                 0.013124 
                 0.761176 
                 0.249869 
               
               
                 0.010703 
                 0.764230 
                 0.249869 
               
               
                 0.008557 
                 0.767492 
                 0.249869 
               
               
                 0.005805 
                 0.772654 
                 0.249869 
               
               
                 0.003045 
                 0.779944 
                 0.249869 
               
               
                 0.000879 
                 0.789456 
                 0.249869 
               
               
                 0.000000 
                 0.803080 
                 0.249869 
               
             
          
           
               
                 Section 5 
               
             
          
           
               
                 0.000000 
                 0.918498 
                 0.375013 
               
               
                 0.002154 
                 0.936522 
                 0.375013 
               
               
                 0.006979 
                 0.958172 
                 0.375013 
               
               
                 0.013881 
                 0.983458 
                 0.375013 
               
               
                 0.023317 
                 1.012204 
                 0.375013 
               
               
                 0.035784 
                 1.044138 
                 0.375013 
               
               
                 0.051927 
                 1.078879 
                 0.375013 
               
               
                 0.072777 
                 1.115746 
                 0.375013 
               
               
                 0.099594 
                 1.153587 
                 0.375013 
               
               
                 0.134247 
                 1.190200 
                 0.375013 
               
               
                 0.177108 
                 1.220398 
                 0.375013 
               
               
                 0.230146 
                 1.239806 
                 0.375013 
               
               
                 0.288506 
                 1.243618 
                 0.375013 
               
               
                 0.345970 
                 1.232768 
                 0.375013 
               
               
                 0.401601 
                 1.209003 
                 0.375013 
               
               
                 0.452358 
                 1.176085 
                 0.375013 
               
               
                 0.497792 
                 1.136138 
                 0.375013 
               
               
                 0.537583 
                 1.090577 
                 0.375013 
               
               
                 0.571408 
                 1.040414 
                 0.375013 
               
               
                 0.600193 
                 0.987201 
                 0.375013 
               
               
                 0.625450 
                 0.932233 
                 0.375013 
               
               
                 0.649195 
                 0.876583 
                 0.375013 
               
               
                 0.672678 
                 0.820835 
                 0.375013 
               
               
                 0.696550 
                 0.765243 
                 0.375013 
               
               
                 0.720891 
                 0.709866 
                 0.375013 
               
               
                 0.745514 
                 0.654605 
                 0.375013 
               
               
                 0.770215 
                 0.599374 
                 0.375013 
               
               
                 0.794799 
                 0.544104 
                 0.375013 
               
               
                 0.818418 
                 0.490598 
                 0.375013 
               
               
                 0.841773 
                 0.436985 
                 0.375013 
               
               
                 0.863862 
                 0.385020 
                 0.375013 
               
               
                 0.883747 
                 0.336505 
                 0.375013 
               
               
                 0.902259 
                 0.289618 
                 0.375013 
               
               
                 0.918830 
                 0.246289 
                 0.375013 
               
               
                 0.933617 
                 0.206615 
                 0.375013 
               
               
                 0.946757 
                 0.170616 
                 0.375013 
               
               
                 0.958318 
                 0.138351 
                 0.375013 
               
               
                 0.968339 
                 0.109809 
                 0.375013 
               
               
                 0.976878 
                 0.085021 
                 0.375013 
               
               
                 0.984004 
                 0.064014 
                 0.375013 
               
               
                 0.989794 
                 0.046809 
                 0.375013 
               
               
                 0.994356 
                 0.033455 
                 0.375013 
               
               
                 0.997622 
                 0.023911 
                 0.375013 
               
               
                 1.000000 
                 0.016211 
                 0.375013 
               
               
                 0.999649 
                 0.010167 
                 0.375013 
               
               
                 0.998002 
                 0.006482 
                 0.375013 
               
               
                 0.995370 
                 0.003431 
                 0.375013 
               
               
                 0.993761 
                 0.002213 
                 0.375013 
               
               
                 0.991987 
                 0.001248 
                 0.375013 
               
               
                 0.990671 
                 0.000731 
                 0.375013 
               
               
                 0.989297 
                 0.000341 
                 0.375013 
               
               
                 0.986480 
                 0.000000 
                 0.375013 
               
               
                 0.983643 
                 0.000234 
                 0.375013 
               
               
                 0.979627 
                 0.001647 
                 0.375013 
               
               
                 0.975260 
                 0.005283 
                 0.375013 
               
               
                 0.971527 
                 0.011337 
                 0.375013 
               
               
                 0.966575 
                 0.019954 
                 0.375013 
               
               
                 0.960151 
                 0.031008 
                 0.375013 
               
               
                 0.952284 
                 0.044509 
                 0.375013 
               
               
                 0.942985 
                 0.060475 
                 0.375013 
               
               
                 0.932184 
                 0.078840 
                 0.375013 
               
               
                 0.919951 
                 0.099671 
                 0.375013 
               
               
                 0.906060 
                 0.122813 
                 0.375013 
               
               
                 0.890376 
                 0.148196 
                 0.375013 
               
               
                 0.872752 
                 0.175714 
                 0.375013 
               
               
                 0.853276 
                 0.205416 
                 0.375013 
               
               
                 0.832562 
                 0.236005 
                 0.375013 
               
               
                 0.809469 
                 0.268397 
                 0.375013 
               
               
                 0.785226 
                 0.301705 
                 0.375013 
               
               
                 0.760827 
                 0.334906 
                 0.375013 
               
               
                 0.735542 
                 0.369218 
                 0.375013 
               
               
                 0.710168 
                 0.403462 
                 0.375013 
               
               
                 0.684726 
                 0.437668 
                 0.375013 
               
               
                 0.659323 
                 0.471892 
                 0.375013 
               
               
                 0.634028 
                 0.506185 
                 0.375013 
               
               
                 0.608654 
                 0.540439 
                 0.375013 
               
               
                 0.583242 
                 0.574654 
                 0.375013 
               
               
                 0.558024 
                 0.609015 
                 0.375013 
               
               
                 0.532816 
                 0.643386 
                 0.375013 
               
               
                 0.507072 
                 0.677357 
                 0.375013 
               
               
                 0.481026 
                 0.711094 
                 0.375013 
               
               
                 0.454483 
                 0.744441 
                 0.375013 
               
               
                 0.426263 
                 0.776385 
                 0.375013 
               
               
                 0.395947 
                 0.806340 
                 0.375013 
               
               
                 0.364364 
                 0.832805 
                 0.375013 
               
               
                 0.330169 
                 0.855781 
                 0.375013 
               
               
                 0.294345 
                 0.873083 
                 0.375013 
               
               
                 0.258824 
                 0.883221 
                 0.375013 
               
               
                 0.223508 
                 0.887003 
                 0.375013 
               
               
                 0.190843 
                 0.886106 
                 0.375013 
               
               
                 0.161219 
                 0.882558 
                 0.375013 
               
               
                 0.134725 
                 0.877382 
                 0.375013 
               
               
                 0.111505 
                 0.870724 
                 0.375013 
               
               
                 0.091464 
                 0.863472 
                 0.375013 
               
               
                 0.074044 
                 0.857331 
                 0.375013 
               
               
                 0.058614 
                 0.854855 
                 0.375013 
               
               
                 0.045864 
                 0.855742 
                 0.375013 
               
               
                 0.036242 
                 0.858267 
                 0.375013 
               
               
                 0.029702 
                 0.861045 
                 0.375013 
               
               
                 0.024730 
                 0.863784 
                 0.375013 
               
               
                 0.021192 
                 0.866162 
                 0.375013 
               
               
                 0.018940 
                 0.867897 
                 0.375013 
               
               
                 0.016796 
                 0.869769 
                 0.375013 
               
               
                 0.015762 
                 0.870734 
                 0.375013 
               
               
                 0.013394 
                 0.873230 
                 0.375013 
               
               
                 0.012078 
                 0.874760 
                 0.375013 
               
               
                 0.009660 
                 0.877986 
                 0.375013 
               
               
                 0.007525 
                 0.881408 
                 0.375013 
               
               
                 0.004845 
                 0.886838 
                 0.375013 
               
               
                 0.002271 
                 0.894480 
                 0.375013 
               
               
                 0.000429 
                 0.904393 
                 0.375013 
               
               
                 0.000000 
                 0.918498 
                 0.375013 
               
             
          
           
               
                 Section 6 
               
             
          
           
               
                 0.000000 
                 1.031685 
                 0.499738 
               
               
                 0.002145 
                 1.050167 
                 0.499738 
               
               
                 0.007473 
                 1.072274 
                 0.499738 
               
               
                 0.014805 
                 1.098128 
                 0.499738 
               
               
                 0.024383 
                 1.127617 
                 0.499738 
               
               
                 0.037084 
                 1.160390 
                 0.499738 
               
               
                 0.054064 
                 1.195812 
                 0.499738 
               
               
                 0.076726 
                 1.232846 
                 0.499738 
               
               
                 0.106356 
                 1.270030 
                 0.499738 
               
               
                 0.144941 
                 1.304435 
                 0.499738 
               
               
                 0.192468 
                 1.329523 
                 0.499738 
               
               
                 0.249635 
                 1.338638 
                 0.499738 
               
               
                 0.308634 
                 1.327962 
                 0.499738 
               
               
                 0.362810 
                 1.302279 
                 0.499738 
               
               
                 0.412382 
                 1.265004 
                 0.499738 
               
               
                 0.456012 
                 1.220931 
                 0.499738 
               
               
                 0.494385 
                 1.172204 
                 0.499738 
               
               
                 0.528065 
                 1.120124 
                 0.499738 
               
               
                 0.557393 
                 1.065476 
                 0.499738 
               
               
                 0.583740 
                 1.009326 
                 0.499738 
               
               
                 0.608668 
                 0.952533 
                 0.499738 
               
               
                 0.633414 
                 0.895658 
                 0.499738 
               
               
                 0.658119 
                 0.838774 
                 0.499738 
               
               
                 0.683077 
                 0.781990 
                 0.499738 
               
               
                 0.708447 
                 0.725398 
                 0.499738 
               
               
                 0.734170 
                 0.668966 
                 0.499738 
               
               
                 0.760084 
                 0.612616 
                 0.499738 
               
               
                 0.785958 
                 0.556245 
                 0.499738 
               
               
                 0.810986 
                 0.501768 
                 0.499738 
               
               
                 0.835883 
                 0.447220 
                 0.499738 
               
               
                 0.859380 
                 0.394324 
                 0.499738 
               
               
                 0.880349 
                 0.344832 
                 0.499738 
               
               
                 0.899677 
                 0.296891 
                 0.499738 
               
               
                 0.916829 
                 0.252546 
                 0.499738 
               
               
                 0.932057 
                 0.211887 
                 0.499738 
               
               
                 0.945563 
                 0.175004 
                 0.499738 
               
               
                 0.957437 
                 0.141919 
                 0.499738 
               
               
                 0.967720 
                 0.112671 
                 0.499738 
               
               
                 0.976463 
                 0.087250 
                 0.499738 
               
               
                 0.983744 
                 0.065707 
                 0.499738 
               
               
                 0.989636 
                 0.048062 
                 0.499738 
               
               
                 0.994219 
                 0.034334 
                 0.499738 
               
               
                 0.997492 
                 0.024524 
                 0.499738 
               
               
                 1.000000 
                 0.016648 
                 0.499738 
               
               
                 0.999738 
                 0.010444 
                 0.499738 
               
               
                 0.998096 
                 0.006657 
                 0.499738 
               
               
                 0.995417 
                 0.003505 
                 0.499738 
               
               
                 0.993776 
                 0.002256 
                 0.499738 
               
               
                 0.991953 
                 0.001269 
                 0.499738 
               
               
                 0.990553 
                 0.000715 
                 0.499738 
               
               
                 0.989103 
                 0.000322 
                 0.499738 
               
               
                 0.986111 
                 0.000000 
                 0.499738 
               
               
                 0.983120 
                 0.000332 
                 0.499738 
               
               
                 0.978920 
                 0.001984 
                 0.499738 
               
               
                 0.974519 
                 0.006083 
                 0.499738 
               
               
                 0.970682 
                 0.012559 
                 0.499738 
               
               
                 0.965354 
                 0.021644 
                 0.499738 
               
               
                 0.958495 
                 0.033327 
                 0.499738 
               
               
                 0.950125 
                 0.047608 
                 0.499738 
               
               
                 0.940205 
                 0.064468 
                 0.499738 
               
               
                 0.928572 
                 0.083816 
                 0.499738 
               
               
                 0.915348 
                 0.105712 
                 0.499738 
               
               
                 0.900513 
                 0.130155 
                 0.499738 
               
               
                 0.883975 
                 0.157087 
                 0.499738 
               
               
                 0.865453 
                 0.186325 
                 0.499738 
               
               
                 0.845048 
                 0.217929 
                 0.499738 
               
               
                 0.823263 
                 0.250431 
                 0.499738 
               
               
                 0.798830 
                 0.284755 
                 0.499738 
               
               
                 0.773338 
                 0.320187 
                 0.499738 
               
               
                 0.748169 
                 0.355840 
                 0.499738 
               
               
                 0.722567 
                 0.393024 
                 0.499738 
               
               
                 0.697066 
                 0.430269 
                 0.499738 
               
               
                 0.671746 
                 0.467645 
                 0.499738 
               
               
                 0.646547 
                 0.505111 
                 0.499738 
               
               
                 0.621358 
                 0.542568 
                 0.499738 
               
               
                 0.596128 
                 0.580014 
                 0.499738 
               
               
                 0.570879 
                 0.617430 
                 0.499738 
               
               
                 0.545861 
                 0.655007 
                 0.499738 
               
               
                 0.521145 
                 0.692796 
                 0.499738 
               
               
                 0.496561 
                 0.730655 
                 0.499738 
               
               
                 0.472721 
                 0.768998 
                 0.499738 
               
               
                 0.449174 
                 0.807511 
                 0.499738 
               
               
                 0.424317 
                 0.845199 
                 0.499738 
               
               
                 0.397839 
                 0.881769 
                 0.499738 
               
               
                 0.370343 
                 0.915660 
                 0.499738 
               
               
                 0.339796 
                 0.946822 
                 0.499738 
               
               
                 0.306177 
                 0.972223 
                 0.499738 
               
               
                 0.271148 
                 0.989656 
                 0.499738 
               
               
                 0.234971 
                 0.999970 
                 0.499738 
               
               
                 0.200576 
                 1.003857 
                 0.499738 
               
               
                 0.168992 
                 1.002770 
                 0.499738 
               
               
                 0.140872 
                 0.997603 
                 0.499738 
               
               
                 0.116629 
                 0.989425 
                 0.499738 
               
               
                 0.096134 
                 0.979968 
                 0.499738 
               
               
                 0.078287 
                 0.971961 
                 0.499738 
               
               
                 0.062202 
                 0.968013 
                 0.499738 
               
               
                 0.048666 
                 0.967922 
                 0.499738 
               
               
                 0.038343 
                 0.970017 
                 0.499738 
               
               
                 0.031303 
                 0.972666 
                 0.499738 
               
               
                 0.025944 
                 0.975415 
                 0.499738 
               
               
                 0.022158 
                 0.977873 
                 0.499738 
               
               
                 0.019750 
                 0.979686 
                 0.499738 
               
               
                 0.017474 
                 0.981660 
                 0.499738 
               
               
                 0.016376 
                 0.982687 
                 0.499738 
               
               
                 0.013919 
                 0.985265 
                 0.499738 
               
               
                 0.012579 
                 0.986846 
                 0.499738 
               
               
                 0.010112 
                 0.990170 
                 0.499738 
               
               
                 0.007936 
                 0.993685 
                 0.499738 
               
               
                 0.005197 
                 0.999245 
                 0.499743 
               
               
                 0.002518 
                 1.007070 
                 0.499738 
               
               
                 0.000564 
                 1.017222 
                 0.499738 
               
               
                 0.000000 
                 1.031685 
                 0.499738 
               
             
          
           
               
                 Section 7 
               
             
          
           
               
                 0.000000 
                 1.150249 
                 0.624987 
               
               
                 0.001320 
                 1.169183 
                 0.624987 
               
               
                 0.005966 
                 1.191919 
                 0.624987 
               
               
                 0.013084 
                 1.218415 
                 0.624987 
               
               
                 0.022947 
                 1.248479 
                 0.624987 
               
               
                 0.036263 
                 1.281786 
                 0.624987 
               
               
                 0.054279 
                 1.317595 
                 0.624987 
               
               
                 0.078757 
                 1.354524 
                 0.624987 
               
               
                 0.112771 
                 1.389140 
                 0.624987 
               
               
                 0.158412 
                 1.415582 
                 0.624987 
               
               
                 0.212184 
                 1.426396 
                 0.624987 
               
               
                 0.270487 
                 1.417061 
                 0.624987 
               
               
                 0.324966 
                 1.389235 
                 0.624987 
               
               
                 0.372138 
                 1.350279 
                 0.624987 
               
               
                 0.414368 
                 1.303138 
                 0.624987 
               
               
                 0.450874 
                 1.251426 
                 0.624987 
               
               
                 0.482798 
                 1.196788 
                 0.624987 
               
               
                 0.511595 
                 1.140418 
                 0.624987 
               
               
                 0.538175 
                 1.082971 
                 0.624987 
               
               
                 0.563677 
                 1.025049 
                 0.624987 
               
               
                 0.589096 
                 0.967084 
                 0.624987 
               
               
                 0.614894 
                 0.909289 
                 0.624987 
               
               
                 0.640914 
                 0.851599 
                 0.624987 
               
               
                 0.667262 
                 0.794046 
                 0.624987 
               
               
                 0.694137 
                 0.736747 
                 0.624987 
               
               
                 0.721667 
                 0.679754 
                 0.624987 
               
               
                 0.749535 
                 0.622930 
                 0.624987 
               
               
                 0.777171 
                 0.565990 
                 0.624987 
               
               
                 0.803593 
                 0.510803 
                 0.624987 
               
               
                 0.829634 
                 0.455436 
                 0.624987 
               
               
                 0.854102 
                 0.401675 
                 0.624987 
               
               
                 0.875824 
                 0.351303 
                 0.624987 
               
               
                 0.895751 
                 0.302473 
                 0.624987 
               
               
                 0.913428 
                 0.257276 
                 0.624987 
               
               
                 0.929110 
                 0.215838 
                 0.624987 
               
               
                 0.943060 
                 0.178265 
                 0.624987 
               
               
                 0.955394 
                 0.144578 
                 0.624987 
               
               
                 0.966123 
                 0.114809 
                 0.624987 
               
               
                 0.975332 
                 0.088979 
                 0.624987 
               
               
                 0.983051 
                 0.067099 
                 0.624987 
               
               
                 0.989334 
                 0.049178 
                 0.624987 
               
               
                 0.994118 
                 0.035207 
                 0.624987 
               
               
                 0.997508 
                 0.025239 
                 0.624987 
               
               
                 1.000000 
                 0.017150 
                 0.624987 
               
               
                 0.999641 
                 0.010835 
                 0.624987 
               
               
                 0.997941 
                 0.006970 
                 0.624987 
               
               
                 0.995216 
                 0.003749 
                 0.624987 
               
               
                 0.993548 
                 0.002461 
                 0.624987 
               
               
                 0.991700 
                 0.001426 
                 0.624987 
               
               
                 0.990253 
                 0.000834 
                 0.624987 
               
               
                 0.988743 
                 0.000401 
                 0.624987 
               
               
                 0.985628 
                 0.000000 
                 0.624987 
               
               
                 0.982502 
                 0.000296 
                 0.624987 
               
               
                 0.978088 
                 0.001932 
                 0.624987 
               
               
                 0.973410 
                 0.006135 
                 0.624987 
               
               
                 0.969175 
                 0.012778 
                 0.624987 
               
               
                 0.963420 
                 0.022113 
                 0.624987 
               
               
                 0.956007 
                 0.034151 
                 0.624987 
               
               
                 0.947041 
                 0.048914 
                 0.624987 
               
               
                 0.936418 
                 0.066349 
                 0.624987 
               
               
                 0.923957 
                 0.086339 
                 0.624987 
               
               
                 0.909690 
                 0.108906 
                 0.624987 
               
               
                 0.893628 
                 0.134061 
                 0.624987 
               
               
                 0.875623 
                 0.161686 
                 0.624987 
               
               
                 0.855612 
                 0.191761 
                 0.624987 
               
               
                 0.833868 
                 0.224455 
                 0.624987 
               
               
                 0.811048 
                 0.258321 
                 0.624987 
               
               
                 0.785651 
                 0.294215 
                 0.624987 
               
               
                 0.759156 
                 0.331260 
                 0.624987 
               
               
                 0.732745 
                 0.368368 
                 0.624987 
               
               
                 0.705542 
                 0.406828 
                 0.624987 
               
               
                 0.678360 
                 0.445320 
                 0.624987 
               
               
                 0.651749 
                 0.484202 
                 0.624987 
               
               
                 0.625876 
                 0.523570 
                 0.624987 
               
               
                 0.600458 
                 0.563244 
                 0.624987 
               
               
                 0.575272 
                 0.603056 
                 0.624987 
               
               
                 0.550129 
                 0.642910 
                 0.624987 
               
               
                 0.525249 
                 0.682922 
                 0.624987 
               
               
                 0.501003 
                 0.723315 
                 0.624987 
               
               
                 0.477465 
                 0.764129 
                 0.624987 
               
               
                 0.455373 
                 0.805747 
                 0.624987 
               
               
                 0.434274 
                 0.847871 
                 0.624987 
               
               
                 0.412351 
                 0.889573 
                 0.624987 
               
               
                 0.389256 
                 0.930641 
                 0.624987 
               
               
                 0.365675 
                 0.969608 
                 0.624987 
               
               
                 0.339676 
                 1.007001 
                 0.624987 
               
               
                 0.310795 
                 1.040160 
                 0.624987 
               
               
                 0.279991 
                 1.066962 
                 0.624987 
               
               
                 0.246864 
                 1.088040 
                 0.624987 
               
               
                 0.213642 
                 1.102222 
                 0.624987 
               
               
                 0.181412 
                 1.109170 
                 0.624987 
               
               
                 0.151569 
                 1.109508 
                 0.624987 
               
               
                 0.125243 
                 1.105105 
                 0.624987 
               
               
                 0.102792 
                 1.097977 
                 0.624987 
               
               
                 0.083721 
                 1.090690 
                 0.624987 
               
               
                 0.067131 
                 1.085854 
                 0.624987 
               
               
                 0.053012 
                 1.085294 
                 0.624987 
               
               
                 0.042293 
                 1.087733 
                 0.624987 
               
               
                 0.035007 
                 1.090669 
                 0.624987 
               
               
                 0.029431 
                 1.093563 
                 0.624987 
               
               
                 0.025450 
                 1.096076 
                 0.624987 
               
               
                 0.022894 
                 1.097903 
                 0.624987 
               
               
                 0.020465 
                 1.099899 
                 0.624987 
               
               
                 0.019293 
                 1.100944 
                 0.624987 
               
               
                 0.016696 
                 1.103552 
                 0.624987 
               
               
                 0.015302 
                 1.105126 
                 0.624987 
               
               
                 0.012693 
                 1.108442 
                 0.624987 
               
               
                 0.010359 
                 1.111969 
                 0.624987 
               
               
                 0.007339 
                 1.117523 
                 0.624987 
               
               
                 0.004192 
                 1.125359 
                 0.624987 
               
               
                 0.001500 
                 1.135550 
                 0.624987 
               
               
                 0.000000 
                 1.150249 
                 0.624987 
               
             
          
           
               
                 Section 8 
               
             
          
           
               
                 0.000000 
                 1.215617 
                 0.688714 
               
               
                 0.001328 
                 1.234703 
                 0.688714 
               
               
                 0.005901 
                 1.257632 
                 0.688714 
               
               
                 0.013392 
                 1.284220 
                 0.688714 
               
               
                 0.024203 
                 1.314215 
                 0.688714 
               
               
                 0.038879 
                 1.347226 
                 0.688714 
               
               
                 0.058662 
                 1.382436 
                 0.688714 
               
               
                 0.085587 
                 1.418028 
                 0.688714 
               
               
                 0.123389 
                 1.449035 
                 0.688714 
               
               
                 0.173112 
                 1.467773 
                 0.688714 
               
               
                 0.228356 
                 1.467631 
                 0.688714 
               
               
                 0.284307 
                 1.447413 
                 0.688714 
               
               
                 0.334575 
                 1.411745 
                 0.688714 
               
               
                 0.377580 
                 1.367596 
                 0.688714 
               
               
                 0.416111 
                 1.316795 
                 0.688714 
               
               
                 0.449384 
                 1.262412 
                 0.688714 
               
               
                 0.478606 
                 1.205742 
                 0.688714 
               
               
                 0.505476 
                 1.147918 
                 0.688714 
               
               
                 0.531095 
                 1.089539 
                 0.688714 
               
               
                 0.556321 
                 1.030975 
                 0.688714 
               
               
                 0.581798 
                 0.972531 
                 0.688714 
               
               
                 0.607711 
                 0.914282 
                 0.688714 
               
               
                 0.633982 
                 0.856175 
                 0.688714 
               
               
                 0.660668 
                 0.798275 
                 0.688714 
               
               
                 0.688006 
                 0.740669 
                 0.688714 
               
               
                 0.716140 
                 0.683455 
                 0.688714 
               
               
                 0.744676 
                 0.626448 
                 0.688714 
               
               
                 0.772897 
                 0.569267 
                 0.688714 
               
               
                 0.799669 
                 0.513751 
                 0.688714 
               
               
                 0.825930 
                 0.457996 
                 0.688714 
               
               
                 0.850579 
                 0.403830 
                 0.688714 
               
               
                 0.872518 
                 0.353116 
                 0.688714 
               
               
                 0.892725 
                 0.303970 
                 0.688714 
               
               
                 0.910711 
                 0.258525 
                 0.688714 
               
               
                 0.926727 
                 0.216858 
                 0.688714 
               
               
                 0.941022 
                 0.179100 
                 0.688714 
               
               
                 0.953695 
                 0.145262 
                 0.688714 
               
               
                 0.964779 
                 0.115375 
                 0.688714 
               
               
                 0.974327 
                 0.089441 
                 0.688714 
               
               
                 0.982395 
                 0.067503 
                 0.688714 
               
               
                 0.988971 
                 0.049538 
                 0.688714 
               
               
                 0.993947 
                 0.035526 
                 0.688714 
               
               
                 0.997485 
                 0.025510 
                 0.688714 
               
               
                 1.000000 
                 0.017377 
                 0.688714 
               
               
                 0.999477 
                 0.011018 
                 0.688714 
               
               
                 0.997714 
                 0.007153 
                 0.688714 
               
               
                 0.994959 
                 0.003920 
                 0.688714 
               
               
                 0.993282 
                 0.002613 
                 0.688714 
               
               
                 0.991431 
                 0.001557 
                 0.688714 
               
               
                 0.989962 
                 0.000925 
                 0.688714 
               
               
                 0.988416 
                 0.000457 
                 0.688714 
               
               
                 0.985236 
                 0.000000 
                 0.688714 
               
               
                 0.982036 
                 0.000218 
                 0.688714 
               
               
                 0.977474 
                 0.001775 
                 0.688714 
               
               
                 0.972542 
                 0.005890 
                 0.688714 
               
               
                 0.968110 
                 0.012619 
                 0.688714 
               
               
                 0.962111 
                 0.022102 
                 0.688714 
               
               
                 0.954392 
                 0.034328 
                 0.688714 
               
               
                 0.945061 
                 0.049332 
                 0.688714 
               
               
                 0.934011 
                 0.067056 
                 0.688714 
               
               
                 0.921087 
                 0.087394 
                 0.688714 
               
               
                 0.906247 
                 0.110324 
                 0.688714 
               
               
                 0.889502 
                 0.135844 
                 0.688714 
               
               
                 0.870656 
                 0.163825 
                 0.688714 
               
               
                 0.849806 
                 0.194321 
                 0.688714 
               
               
                 0.827291 
                 0.227583 
                 0.688714 
               
               
                 0.803883 
                 0.262172 
                 0.688714 
               
               
                 0.778025 
                 0.298983 
                 0.688714 
               
               
                 0.751023 
                 0.336948 
                 0.688714 
               
               
                 0.723870 
                 0.374804 
                 0.688714 
               
               
                 0.695573 
                 0.413814 
                 0.688714 
               
               
                 0.667265 
                 0.452813 
                 0.688714 
               
               
                 0.639720 
                 0.492368 
                 0.688714 
               
               
                 0.613307 
                 0.532684 
                 0.688714 
               
               
                 0.587688 
                 0.573502 
                 0.688714 
               
               
                 0.562451 
                 0.614559 
                 0.688714 
               
               
                 0.537279 
                 0.655659 
                 0.688714 
               
               
                 0.512412 
                 0.696945 
                 0.688714 
               
               
                 0.488318 
                 0.738677 
                 0.688714 
               
               
                 0.465182 
                 0.780964 
                 0.688714 
               
               
                 0.443777 
                 0.824133 
                 0.688714 
               
               
                 0.423602 
                 0.867901 
                 0.688714 
               
               
                 0.402741 
                 0.911354 
                 0.688714 
               
               
                 0.380738 
                 0.954229 
                 0.688714 
               
               
                 0.358364 
                 0.995090 
                 0.688714 
               
               
                 0.333954 
                 1.034775 
                 0.688714 
               
               
                 0.307192 
                 1.070932 
                 0.688714 
               
               
                 0.278906 
                 1.101657 
                 0.688714 
               
               
                 0.248323 
                 1.127689 
                 0.688714 
               
               
                 0.216935 
                 1.147178 
                 0.688714 
               
               
                 0.185361 
                 1.159045 
                 0.688714 
               
               
                 0.155180 
                 1.163607 
                 0.688714 
               
               
                 0.127874 
                 1.162834 
                 0.688714 
               
               
                 0.104161 
                 1.158588 
                 0.688714 
               
               
                 0.084063 
                 1.152894 
                 0.688714 
               
               
                 0.066969 
                 1.148441 
                 0.688714 
               
               
                 0.052511 
                 1.148147 
                 0.688714 
               
               
                 0.041645 
                 1.151032 
                 0.688714 
               
               
                 0.034318 
                 1.154331 
                 0.688714 
               
               
                 0.028743 
                 1.157521 
                 0.688714 
               
               
                 0.024769 
                 1.160254 
                 0.688714 
               
               
                 0.022221 
                 1.162214 
                 0.688714 
               
               
                 0.019826 
                 1.164348 
                 0.688714 
               
               
                 0.018672 
                 1.165458 
                 0.688714 
               
               
                 0.016135 
                 1.168202 
                 0.688714 
               
               
                 0.014785 
                 1.169846 
                 0.688714 
               
               
                 0.012281 
                 1.173275 
                 0.688714 
               
               
                 0.010060 
                 1.176901 
                 0.688714 
               
               
                 0.007175 
                 1.182584 
                 0.688714 
               
               
                 0.004137 
                 1.190532 
                 0.688714 
               
               
                 0.001492 
                 1.200821 
                 0.688714 
               
               
                 0.000000 
                 1.215617 
                 0.688714 
               
             
          
           
               
                 Section 9 
               
             
          
           
               
                 0.000000 
                 1.283470 
                 0.750131 
               
               
                 0.002117 
                 1.302533 
                 0.750131 
               
               
                 0.007420 
                 1.325369 
                 0.750131 
               
               
                 0.016214 
                 1.351638 
                 0.750131 
               
               
                 0.029051 
                 1.380903 
                 0.750131 
               
               
                 0.046369 
                 1.412724 
                 0.750131 
               
               
                 0.069452 
                 1.445986 
                 0.750131 
               
               
                 0.100743 
                 1.477975 
                 0.750131 
               
               
                 0.143632 
                 1.501689 
                 0.750131 
               
               
                 0.196431 
                 1.508805 
                 0.750131 
               
               
                 0.250434 
                 1.496464 
                 0.750131 
               
               
                 0.302308 
                 1.466986 
                 0.750131 
               
               
                 0.348328 
                 1.425740 
                 0.750131 
               
               
                 0.387704 
                 1.378122 
                 0.750131 
               
               
                 0.422847 
                 1.324727 
                 0.750131 
               
               
                 0.453215 
                 1.268472 
                 0.750131 
               
               
                 0.480182 
                 1.210517 
                 0.750131 
               
               
                 0.505484 
                 1.151807 
                 0.750131 
               
               
                 0.530132 
                 1.092827 
                 0.750131 
               
               
                 0.554791 
                 1.033848 
                 0.750131 
               
               
                 0.579867 
                 0.975048 
                 0.750131 
               
               
                 0.605360 
                 0.916428 
                 0.750131 
               
               
                 0.631280 
                 0.857989 
                 0.750131 
               
               
                 0.657707 
                 0.799786 
                 0.750131 
               
               
                 0.684889 
                 0.741921 
                 0.750131 
               
               
                 0.712938 
                 0.684484 
                 0.750131 
               
               
                 0.741403 
                 0.627249 
                 0.750131 
               
               
                 0.769519 
                 0.569834 
                 0.750131 
               
               
                 0.796115 
                 0.514064 
                 0.750131 
               
               
                 0.822137 
                 0.458011 
                 0.750131 
               
               
                 0.846628 
                 0.403603 
                 0.750131 
               
               
                 0.868596 
                 0.352742 
                 0.750131 
               
               
                 0.889022 
                 0.303547 
                 0.750131 
               
               
                 0.907375 
                 0.258102 
                 0.750131 
               
               
                 0.923815 
                 0.216485 
                 0.750131 
               
               
                 0.938543 
                 0.178775 
                 0.750131 
               
               
                 0.951638 
                 0.144995 
                 0.750131 
               
               
                 0.963146 
                 0.115178 
                 0.750131 
               
               
                 0.973100 
                 0.089326 
                 0.750131 
               
               
                 0.981522 
                 0.067459 
                 0.750131 
               
               
                 0.988425 
                 0.049566 
                 0.750131 
               
               
                 0.993784 
                 0.035638 
                 0.750131 
               
               
                 0.997613 
                 0.025695 
                 0.750131 
               
               
                 1.000000 
                 0.017521 
                 0.750131 
               
               
                 0.999212 
                 0.011181 
                 0.750131 
               
               
                 0.997354 
                 0.007342 
                 0.750131 
               
               
                 0.994561 
                 0.004121 
                 0.750131 
               
               
                 0.992884 
                 0.002804 
                 0.750131 
               
               
                 0.991048 
                 0.001734 
                 0.750131 
               
               
                 0.989551 
                 0.001058 
                 0.750131 
               
               
                 0.987986 
                 0.000552 
                 0.750131 
               
               
                 0.984731 
                 0.000000 
                 0.750131 
               
               
                 0.981444 
                 0.000124 
                 0.750131 
               
               
                 0.976703 
                 0.001531 
                 0.750131 
               
               
                 0.971433 
                 0.005472 
                 0.750131 
               
               
                 0.966851 
                 0.012307 
                 0.750131 
               
               
                 0.960658 
                 0.022025 
                 0.750131 
               
               
                 0.952708 
                 0.034523 
                 0.750131 
               
               
                 0.942991 
                 0.049803 
                 0.750131 
               
               
                 0.931483 
                 0.067853 
                 0.750131 
               
               
                 0.918072 
                 0.088582 
                 0.750131 
               
               
                 0.902691 
                 0.111958 
                 0.750131 
               
               
                 0.885317 
                 0.137969 
                 0.750131 
               
               
                 0.865770 
                 0.166479 
                 0.750131 
               
               
                 0.844218 
                 0.197602 
                 0.750131 
               
               
                 0.821011 
                 0.231596 
                 0.750131 
               
               
                 0.797027 
                 0.267042 
                 0.750131 
               
               
                 0.770724 
                 0.304887 
                 0.750131 
               
               
                 0.743227 
                 0.343914 
                 0.750131 
               
               
                 0.715381 
                 0.382693 
                 0.750131 
               
               
                 0.686150 
                 0.422497 
                 0.750131 
               
               
                 0.656919 
                 0.462302 
                 0.750131 
               
               
                 0.628612 
                 0.502770 
                 0.750131 
               
               
                 0.601745 
                 0.544207 
                 0.750131 
               
               
                 0.575971 
                 0.586330 
                 0.750131 
               
               
                 0.550681 
                 0.628747 
                 0.750131 
               
               
                 0.525436 
                 0.671197 
                 0.750131 
               
               
                 0.500507 
                 0.713816 
                 0.750131 
               
               
                 0.476444 
                 0.756953 
                 0.750131 
               
               
                 0.453564 
                 0.800709 
                 0.750131 
               
               
                 0.432643 
                 0.845445 
                 0.750131 
               
               
                 0.413163 
                 0.890823 
                 0.750131 
               
               
                 0.393030 
                 0.935919 
                 0.750131 
               
               
                 0.371501 
                 0.980363 
                 0.750131 
               
               
                 0.349431 
                 1.022700 
                 0.750131 
               
               
                 0.325515 
                 1.064013 
                 0.750131 
               
               
                 0.299764 
                 1.102241 
                 0.750131 
               
               
                 0.273021 
                 1.135660 
                 0.750131 
               
               
                 0.244229 
                 1.165060 
                 0.750131 
               
               
                 0.214413 
                 1.188391 
                 0.750131 
               
               
                 0.183774 
                 1.204403 
                 0.750131 
               
               
                 0.153710 
                 1.213017 
                 0.750131 
               
               
                 0.125909 
                 1.216181 
                 0.750131 
               
               
                 0.101216 
                 1.215708 
                 0.750131 
               
               
                 0.079980 
                 1.213129 
                 0.750131 
               
               
                 0.062065 
                 1.210483 
                 0.750131 
               
               
                 0.047258 
                 1.211159 
                 0.750131 
               
               
                 0.036280 
                 1.214661 
                 0.750131 
               
               
                 0.028994 
                 1.218478 
                 0.750131 
               
               
                 0.023578 
                 1.222216 
                 0.750131 
               
               
                 0.019818 
                 1.225425 
                 0.750131 
               
               
                 0.017464 
                 1.227733 
                 0.750131 
               
               
                 0.015280 
                 1.230188 
                 0.750131 
               
               
                 0.014244 
                 1.231472 
                 0.750131 
               
               
                 0.012026 
                 1.234523 
                 0.750131 
               
               
                 0.010866 
                 1.236313 
                 0.750131 
               
               
                 0.008783 
                 1.240029 
                 0.750131 
               
               
                 0.006981 
                 1.243891 
                 0.750131 
               
               
                 0.004707 
                 1.249871 
                 0.750131 
               
               
                 0.002410 
                 1.258079 
                 0.750131 
               
               
                 0.000552 
                 1.268573 
                 0.750131 
               
               
                 0.000000 
                 1.283470 
                 0.750131 
               
             
          
           
               
                 Section 10 
               
             
          
           
               
                 0.000000 
                 1.321029 
                 0.796325 
               
               
                 0.000868 
                 1.335887 
                 0.796325 
               
               
                 0.004189 
                 1.354737 
                 0.796325 
               
               
                 0.010750 
                 1.377197 
                 0.796325 
               
               
                 0.021303 
                 1.402747 
                 0.796325 
               
               
                 0.036508 
                 1.430785 
                 0.796325 
               
               
                 0.056793 
                 1.460709 
                 0.796325 
               
               
                 0.083465 
                 1.491061 
                 0.796325 
               
               
                 0.119175 
                 1.517849 
                 0.796325 
               
               
                 0.165785 
                 1.532626 
                 0.796325 
               
               
                 0.218806 
                 1.528692 
                 0.796325 
               
               
                 0.270010 
                 1.507817 
                 0.796325 
               
               
                 0.318622 
                 1.473426 
                 0.796325 
               
               
                 0.362247 
                 1.429836 
                 0.796325 
               
               
                 0.399657 
                 1.380819 
                 0.796325 
               
               
                 0.432509 
                 1.326120 
                 0.796325 
               
               
                 0.460963 
                 1.269026 
                 0.796325 
               
               
                 0.486560 
                 1.210590 
                 0.796325 
               
               
                 0.510871 
                 1.151610 
                 0.796325 
               
               
                 0.534732 
                 1.092445 
                 0.796325 
               
               
                 0.558650 
                 1.033303 
                 0.796325 
               
               
                 0.583020 
                 0.974334 
                 0.796325 
               
               
                 0.607795 
                 0.915551 
                 0.796325 
               
               
                 0.632974 
                 0.856930 
                 0.796325 
               
               
                 0.658721 
                 0.798563 
                 0.796325 
               
               
                 0.685243 
                 0.740543 
                 0.796325 
               
               
                 0.712633 
                 0.682929 
                 0.796325 
               
               
                 0.740404 
                 0.625487 
                 0.796325 
               
               
                 0.767875 
                 0.567908 
                 0.796325 
               
               
                 0.793876 
                 0.511994 
                 0.796325 
               
               
                 0.819368 
                 0.455837 
                 0.796325 
               
               
                 0.843460 
                 0.401382 
                 0.796325 
               
               
                 0.865319 
                 0.350594 
                 0.796325 
               
               
                 0.885893 
                 0.301577 
                 0.796325 
               
               
                 0.904535 
                 0.256367 
                 0.796325 
               
               
                 0.921360 
                 0.214999 
                 0.796325 
               
               
                 0.936484 
                 0.177530 
                 0.796325 
               
               
                 0.949976 
                 0.143985 
                 0.796325 
               
               
                 0.961837 
                 0.114373 
                 0.796325 
               
               
                 0.972113 
                 0.088719 
                 0.796325 
               
               
                 0.980826 
                 0.066999 
                 0.796325 
               
               
                 0.987977 
                 0.049248 
                 0.796325 
               
               
                 0.993821 
                 0.035559 
                 0.796325 
               
               
                 0.998010 
                 0.025793 
                 0.796325 
               
               
                 1.000000 
                 0.017519 
                 0.796325 
               
               
                 0.998935 
                 0.011224 
                 0.796325 
               
               
                 0.996980 
                 0.007452 
                 0.796325 
               
               
                 0.994156 
                 0.004270 
                 0.796325 
               
               
                 0.992490 
                 0.002951 
                 0.796325 
               
               
                 0.990662 
                 0.001863 
                 0.796325 
               
               
                 0.989134 
                 0.001169 
                 0.796325 
               
               
                 0.987549 
                 0.000625 
                 0.796325 
               
               
                 0.984251 
                 0.000000 
                 0.796325 
               
               
                 0.980895 
                 0.000023 
                 0.796325 
               
               
                 0.976012 
                 0.001261 
                 0.796325 
               
               
                 0.970423 
                 0.004987 
                 0.796325 
               
               
                 0.965517 
                 0.011791 
                 0.796325 
               
               
                 0.959315 
                 0.021801 
                 0.796325 
               
               
                 0.951400 
                 0.034634 
                 0.796325 
               
               
                 0.941379 
                 0.050139 
                 0.796325 
               
               
                 0.929518 
                 0.068457 
                 0.796325 
               
               
                 0.915736 
                 0.089529 
                 0.796325 
               
               
                 0.899976 
                 0.113308 
                 0.796325 
               
               
                 0.882225 
                 0.139796 
                 0.796325 
               
               
                 0.862299 
                 0.168875 
                 0.796325 
               
               
                 0.840405 
                 0.200673 
                 0.796325 
               
               
                 0.816800 
                 0.235365 
                 0.796325 
               
               
                 0.792395 
                 0.271538 
                 0.796325 
               
               
                 0.765769 
                 0.310267 
                 0.796325 
               
               
                 0.737928 
                 0.350189 
                 0.796325 
               
               
                 0.709682 
                 0.389833 
                 0.796325 
               
               
                 0.680001 
                 0.430507 
                 0.796325 
               
               
                 0.650366 
                 0.471204 
                 0.796325 
               
               
                 0.621715 
                 0.512619 
                 0.796325 
               
               
                 0.594626 
                 0.555063 
                 0.796325 
               
               
                 0.568799 
                 0.598283 
                 0.796325 
               
               
                 0.543468 
                 0.641803 
                 0.796325 
               
               
                 0.518162 
                 0.685335 
                 0.796325 
               
               
                 0.493144 
                 0.729029 
                 0.796325 
               
               
                 0.469029 
                 0.773233 
                 0.796325 
               
               
                 0.446210 
                 0.818119 
                 0.796325 
               
               
                 0.425531 
                 0.864035 
                 0.796325 
               
               
                 0.406438 
                 0.910622 
                 0.796325 
               
               
                 0.386628 
                 0.956908 
                 0.796325 
               
               
                 0.365047 
                 1.002407 
                 0.796325 
               
               
                 0.342552 
                 1.045569 
                 0.796325 
               
               
                 0.318136 
                 1.087677 
                 0.796325 
               
               
                 0.292135 
                 1.126824 
                 0.796325 
               
               
                 0.265474 
                 1.161377 
                 0.796325 
               
               
                 0.237008 
                 1.192203 
                 0.796325 
               
               
                 0.207697 
                 1.217325 
                 0.796325 
               
               
                 0.177565 
                 1.235608 
                 0.796325 
               
               
                 0.147687 
                 1.246751 
                 0.796325 
               
               
                 0.119765 
                 1.252630 
                 0.796325 
               
               
                 0.094713 
                 1.255222 
                 0.796325 
               
               
                 0.072912 
                 1.256090 
                 0.796325 
               
               
                 0.054456 
                 1.256379 
                 0.796325 
               
               
                 0.039517 
                 1.258647 
                 0.796325 
               
               
                 0.028547 
                 1.262847 
                 0.796325 
               
               
                 0.021373 
                 1.267198 
                 0.796325 
               
               
                 0.016246 
                 1.271538 
                 0.796325 
               
               
                 0.012902 
                 1.275298 
                 0.796325 
               
               
                 0.010912 
                 1.278006 
                 0.796325 
               
               
                 0.009130 
                 1.280841 
                 0.796325 
               
               
                 0.008308 
                 1.282311 
                 0.796325 
               
               
                 0.006607 
                 1.285713 
                 0.796325 
               
               
                 0.005763 
                 1.287668 
                 0.796325 
               
               
                 0.004316 
                 1.291660 
                 0.796325 
               
               
                 0.003147 
                 1.295757 
                 0.796325 
               
               
                 0.001805 
                 1.301994 
                 0.796325 
               
               
                 0.000625 
                 1.310418 
                 0.796325 
               
               
                 0.000000 
                 1.321029 
                 0.796325 
               
             
          
           
               
                 Section 11 
               
             
          
           
               
                 0.000000 
                 1.351262 
                 0.835696 
               
               
                 0.000663 
                 1.361841 
                 0.835696 
               
               
                 0.003009 
                 1.376484 
                 0.835696 
               
               
                 0.007606 
                 1.395001 
                 0.835696 
               
               
                 0.015543 
                 1.416917 
                 0.835696 
               
               
                 0.027876 
                 1.441547 
                 0.835696 
               
               
                 0.045303 
                 1.468132 
                 0.835696 
               
               
                 0.068298 
                 1.495865 
                 0.835696 
               
               
                 0.098187 
                 1.522853 
                 0.835696 
               
               
                 0.137342 
                 1.543964 
                 0.835696 
               
               
                 0.185642 
                 1.550290 
                 0.835696 
               
               
                 0.237128 
                 1.537732 
                 0.835696 
               
               
                 0.285488 
                 1.511349 
                 0.835696 
               
               
                 0.331845 
                 1.474304 
                 0.835696 
               
               
                 0.374114 
                 1.429688 
                 0.835696 
               
               
                 0.410378 
                 1.380073 
                 0.835696 
               
               
                 0.441678 
                 1.324736 
                 0.835696 
               
               
                 0.468925 
                 1.267302 
                 0.835696 
               
               
                 0.493745 
                 1.208767 
                 0.835696 
               
               
                 0.517498 
                 1.149805 
                 0.835696 
               
               
                 0.540801 
                 1.090653 
                 0.835696 
               
               
                 0.564104 
                 1.031501 
                 0.835696 
               
               
                 0.587810 
                 0.972515 
                 0.835696 
               
               
                 0.611906 
                 0.913683 
                 0.835696 
               
               
                 0.636346 
                 0.854993 
                 0.835696 
               
               
                 0.661355 
                 0.796553 
                 0.835696 
               
               
                 0.687146 
                 0.738443 
                 0.835696 
               
               
                 0.713719 
                 0.680689 
                 0.835696 
               
               
                 0.740647 
                 0.623102 
                 0.835696 
               
               
                 0.767350 
                 0.565407 
                 0.835696 
               
               
                 0.792679 
                 0.509406 
                 0.835696 
               
               
                 0.817581 
                 0.453228 
                 0.835696 
               
               
                 0.841239 
                 0.398815 
                 0.835696 
               
               
                 0.862955 
                 0.348170 
                 0.835696 
               
               
                 0.883639 
                 0.299396 
                 0.835696 
               
               
                 0.902535 
                 0.254472 
                 0.835696 
               
               
                 0.919690 
                 0.213411 
                 0.835696 
               
               
                 0.935162 
                 0.176235 
                 0.835696 
               
               
                 0.948963 
                 0.142957 
                 0.835696 
               
               
                 0.961142 
                 0.113600 
                 0.835696 
               
               
                 0.971674 
                 0.088141 
                 0.835696 
               
               
                 0.980618 
                 0.066615 
                 0.835696 
               
               
                 0.988354 
                 0.049165 
                 0.835696 
               
               
                 0.994385 
                 0.035624 
                 0.835696 
               
               
                 0.998531 
                 0.025886 
                 0.835696 
               
               
                 1.000000 
                 0.017533 
                 0.835696 
               
               
                 0.998638 
                 0.011326 
                 0.835696 
               
               
                 0.996576 
                 0.007618 
                 0.835696 
               
               
                 0.993721 
                 0.004478 
                 0.835696 
               
               
                 0.992051 
                 0.003187 
                 0.835696 
               
               
                 0.990238 
                 0.002085 
                 0.835696 
               
               
                 0.988698 
                 0.001362 
                 0.835696 
               
               
                 0.987087 
                 0.000782 
                 0.835696 
               
               
                 0.983758 
                 0.000083 
                 0.835696 
               
               
                 0.980346 
                 0.000000 
                 0.835696 
               
               
                 0.975347 
                 0.001066 
                 0.835696 
               
               
                 0.969470 
                 0.004526 
                 0.835696 
               
               
                 0.964175 
                 0.011195 
                 0.835696 
               
               
                 0.957813 
                 0.021372 
                 0.835696 
               
               
                 0.949674 
                 0.034368 
                 0.835696 
               
               
                 0.939782 
                 0.050195 
                 0.835696 
               
               
                 0.927651 
                 0.068736 
                 0.835696 
               
               
                 0.913588 
                 0.090084 
                 0.835696 
               
               
                 0.897571 
                 0.114228 
                 0.835696 
               
               
                 0.879552 
                 0.141133 
                 0.835696 
               
               
                 0.859460 
                 0.170750 
                 0.835696 
               
               
                 0.837401 
                 0.203151 
                 0.835696 
               
               
                 0.813565 
                 0.238467 
                 0.835696 
               
               
                 0.788864 
                 0.275252 
                 0.835696 
               
               
                 0.762019 
                 0.314702 
                 0.835696 
               
               
                 0.733953 
                 0.355384 
                 0.835696 
               
               
                 0.705473 
                 0.395771 
                 0.835696 
               
               
                 0.675583 
                 0.437259 
                 0.835696 
               
               
                 0.645788 
                 0.478806 
                 0.835696 
               
               
                 0.616989 
                 0.521052 
                 0.835696 
               
               
                 0.589752 
                 0.564317 
                 0.835696 
               
               
                 0.563831 
                 0.608388 
                 0.835696 
               
               
                 0.538420 
                 0.652754 
                 0.835696 
               
               
                 0.513020 
                 0.697121 
                 0.835696 
               
               
                 0.487952 
                 0.741678 
                 0.835696 
               
               
                 0.463819 
                 0.786755 
                 0.835696 
               
               
                 0.441014 
                 0.832520 
                 0.835696 
               
               
                 0.420424 
                 0.879315 
                 0.835696 
               
               
                 0.401493 
                 0.926810 
                 0.835696 
               
               
                 0.381768 
                 0.973972 
                 0.835696 
               
               
                 0.359922 
                 1.020199 
                 0.835696 
               
               
                 0.336832 
                 1.063902 
                 0.835696 
               
               
                 0.311657 
                 1.106433 
                 0.835696 
               
               
                 0.285014 
                 1.146014 
                 0.835696 
               
               
                 0.257908 
                 1.181069 
                 0.835696 
               
               
                 0.229167 
                 1.212522 
                 0.835696 
               
               
                 0.199846 
                 1.238526 
                 0.835696 
               
               
                 0.169932 
                 1.258180 
                 0.835696 
               
               
                 0.140220 
                 1.271058 
                 0.835696 
               
               
                 0.112333 
                 1.278924 
                 0.835696 
               
               
                 0.087288 
                 1.284018 
                 0.835696 
               
               
                 0.065502 
                 1.288046 
                 0.835696 
               
               
                 0.047080 
                 1.291506 
                 0.835696 
               
               
                 0.032295 
                 1.295581 
                 0.835696 
               
               
                 0.021443 
                 1.300557 
                 0.835696 
               
               
                 0.014465 
                 1.305450 
                 0.835696 
               
               
                 0.009738 
                 1.310354 
                 0.835696 
               
               
                 0.006871 
                 1.314595 
                 0.835696 
               
               
                 0.005319 
                 1.317628 
                 0.835696 
               
               
                 0.004004 
                 1.320768 
                 0.835696 
               
               
                 0.003412 
                 1.322367 
                 0.835696 
               
               
                 0.002286 
                 1.326028 
                 0.835696 
               
               
                 0.001765 
                 1.328077 
                 0.835696 
               
               
                 0.000971 
                 1.332236 
                 0.835696 
               
               
                 0.000450 
                 1.336441 
                 0.835696 
               
               
                 0.000036 
                 1.342791 
                 0.835696 
               
               
                 0.000000 
                 1.351262 
                 0.835696 
               
             
          
           
               
                 Section 12 
               
             
          
           
               
                 0.000000 
                 1.364455 
                 0.875066 
               
               
                 0.000024 
                 1.368672 
                 0.875066 
               
               
                 0.000412 
                 1.374985 
                 0.875066 
               
               
                 0.001418 
                 1.383358 
                 0.875066 
               
               
                 0.003344 
                 1.393718 
                 0.875066 
               
               
                 0.007198 
                 1.407956 
                 0.875066 
               
               
                 0.013196 
                 1.425951 
                 0.875066 
               
               
                 0.022623 
                 1.447144 
                 0.875066 
               
               
                 0.036667 
                 1.470664 
                 0.875066 
               
               
                 0.056091 
                 1.495614 
                 0.875066 
               
               
                 0.081502 
                 1.520890 
                 0.875066 
               
               
                 0.114109 
                 1.544132 
                 0.875066 
               
               
                 0.155612 
                 1.559496 
                 0.875066 
               
               
                 0.204081 
                 1.558636 
                 0.875066 
               
               
                 0.253266 
                 1.539709 
                 0.875066 
               
               
                 0.298985 
                 1.509488 
                 0.875066 
               
               
                 0.343419 
                 1.470640 
                 0.875066 
               
               
                 0.384461 
                 1.425333 
                 0.875066 
               
               
                 0.419759 
                 1.375433 
                 0.875066 
               
               
                 0.449907 
                 1.319839 
                 0.875066 
               
               
                 0.476383 
                 1.262414 
                 0.875066 
               
               
                 0.500848 
                 1.204105 
                 0.875066 
               
               
                 0.524429 
                 1.145433 
                 0.875066 
               
               
                 0.547500 
                 1.086555 
                 0.875066 
               
               
                 0.570451 
                 1.027628 
                 0.875066 
               
               
                 0.593716 
                 0.968834 
                 0.875066 
               
               
                 0.617284 
                 0.910150 
                 0.875066 
               
               
                 0.641107 
                 0.851574 
                 0.875066 
               
               
                 0.665451 
                 0.793205 
                 0.875066 
               
               
                 0.690534 
                 0.735162 
                 0.875066 
               
               
                 0.716308 
                 0.677411 
                 0.875066 
               
               
                 0.742384 
                 0.619805 
                 0.875066 
               
               
                 0.768303 
                 0.562126 
                 0.875066 
               
               
                 0.792950 
                 0.506192 
                 0.875066 
               
               
                 0.817233 
                 0.450088 
                 0.875066 
               
               
                 0.840450 
                 0.395827 
                 0.875066 
               
               
                 0.861971 
                 0.345431 
                 0.875066 
               
               
                 0.882704 
                 0.296973 
                 0.875066 
               
               
                 0.901789 
                 0.252405 
                 0.875066 
               
               
                 0.919201 
                 0.211715 
                 0.875066 
               
               
                 0.934942 
                 0.174890 
                 0.875066 
               
               
                 0.949010 
                 0.141931 
                 0.875066 
               
               
                 0.961418 
                 0.112849 
                 0.875066 
               
               
                 0.972166 
                 0.087645 
                 0.875066 
               
               
                 0.981267 
                 0.066318 
                 0.875066 
               
               
                 0.989106 
                 0.049015 
                 0.875066 
               
               
                 0.995202 
                 0.035589 
                 0.875066 
               
               
                 0.999261 
                 0.025871 
                 0.875066 
               
               
                 1.000000 
                 0.017473 
                 0.875066 
               
               
                 0.998267 
                 0.011390 
                 0.875066 
               
               
                 0.996074 
                 0.007791 
                 0.875066 
               
               
                 0.993178 
                 0.004726 
                 0.875066 
               
               
                 0.991506 
                 0.003453 
                 0.875066 
               
               
                 0.989712 
                 0.002351 
                 0.875066 
               
               
                 0.988161 
                 0.001599 
                 0.875066 
               
               
                 0.986538 
                 0.000994 
                 0.875066 
               
               
                 0.983193 
                 0.000206 
                 0.875066 
               
               
                 0.979752 
                 0.000000 
                 0.875066 
               
               
                 0.974638 
                 0.000812 
                 0.875066 
               
               
                 0.968471 
                 0.003878 
                 0.875066 
               
               
                 0.962666 
                 0.010251 
                 0.875066 
               
               
                 0.956135 
                 0.020491 
                 0.875066 
               
               
                 0.947859 
                 0.033602 
                 0.875066 
               
               
                 0.937753 
                 0.049560 
                 0.875066 
               
               
                 0.925430 
                 0.068269 
                 0.875066 
               
               
                 0.911167 
                 0.089826 
                 0.875066 
               
               
                 0.894966 
                 0.114255 
                 0.875066 
               
               
                 0.876815 
                 0.141507 
                 0.875066 
               
               
                 0.856675 
                 0.171582 
                 0.875066 
               
               
                 0.834585 
                 0.204505 
                 0.875066 
               
               
                 0.810654 
                 0.240336 
                 0.875066 
               
               
                 0.785777 
                 0.277622 
                 0.875066 
               
               
                 0.758815 
                 0.317645 
                 0.875066 
               
               
                 0.730642 
                 0.358929 
                 0.875066 
               
               
                 0.702070 
                 0.399947 
                 0.875066 
               
               
                 0.672140 
                 0.442115 
                 0.875066 
               
               
                 0.642367 
                 0.484393 
                 0.875066 
               
               
                 0.613492 
                 0.527288 
                 0.875066 
               
               
                 0.586058 
                 0.571117 
                 0.875066 
               
               
                 0.559908 
                 0.615733 
                 0.875066 
               
               
                 0.534280 
                 0.660652 
                 0.875066 
               
               
                 0.508773 
                 0.705620 
                 0.875066 
               
               
                 0.483738 
                 0.750866 
                 0.875066 
               
               
                 0.459685 
                 0.796646 
                 0.875066 
               
               
                 0.436929 
                 0.843080 
                 0.875066 
               
               
                 0.416293 
                 0.890495 
                 0.875066 
               
               
                 0.397305 
                 0.938589 
                 0.875066 
               
               
                 0.377445 
                 0.986332 
                 0.875066 
               
               
                 0.355294 
                 1.033056 
                 0.875066 
               
               
                 0.331653 
                 1.077103 
                 0.875066 
               
               
                 0.305867 
                 1.119914 
                 0.875066 
               
               
                 0.278639 
                 1.159768 
                 0.875066 
               
               
                 0.251012 
                 1.195054 
                 0.875066 
               
               
                 0.221882 
                 1.226813 
                 0.875066 
               
               
                 0.192436 
                 1.253350 
                 0.875066 
               
               
                 0.162737 
                 1.274035 
                 0.875066 
               
               
                 0.133291 
                 1.288382 
                 0.875066 
               
               
                 0.105652 
                 1.298124 
                 0.875066 
               
               
                 0.080896 
                 1.305552 
                 0.875066 
               
               
                 0.059593 
                 1.312520 
                 0.875066 
               
               
                 0.041757 
                 1.318930 
                 0.875066 
               
               
                 0.027397 
                 1.324819 
                 0.875066 
               
               
                 0.016831 
                 1.330635 
                 0.875066 
               
               
                 0.010154 
                 1.336088 
                 0.875066 
               
               
                 0.005889 
                 1.341504 
                 0.875066 
               
               
                 0.003538 
                 1.346109 
                 0.875066 
               
               
                 0.002399 
                 1.349369 
                 0.875066 
               
               
                 0.001490 
                 1.352689 
                 0.875066 
               
               
                 0.001127 
                 1.354373 
                 0.875066 
               
               
                 0.000485 
                 1.358154 
                 0.875066 
               
               
                 0.000242 
                 1.360250 
                 0.875066 
               
               
                 0.000000 
                 1.364455 
                 0.875066 
               
             
          
           
               
                 Section 13 
               
             
          
           
               
                 0.000000 
                 1.382026 
                 0.911690 
               
               
                 0.000012 
                 1.386225 
                 0.911690 
               
               
                 0.000297 
                 1.390399 
                 0.911690 
               
               
                 0.001115 
                 1.396641 
                 0.911690 
               
               
                 0.002774 
                 1.404865 
                 0.911690 
               
               
                 0.005636 
                 1.414947 
                 0.911690 
               
               
                 0.010800 
                 1.428683 
                 0.911690 
               
               
                 0.018195 
                 1.446035 
                 0.911690 
               
               
                 0.028995 
                 1.466410 
                 0.911690 
               
               
                 0.044440 
                 1.488865 
                 0.911690 
               
               
                 0.065310 
                 1.512398 
                 0.911690 
               
               
                 0.092435 
                 1.535510 
                 0.911690 
               
               
                 0.126991 
                 1.555327 
                 0.911690 
               
               
                 0.169697 
                 1.566016 
                 0.911690 
               
               
                 0.217605 
                 1.560529 
                 0.911690 
               
               
                 0.264968 
                 1.538099 
                 0.911690 
               
               
                 0.308752 
                 1.505623 
                 0.911690 
               
               
                 0.351408 
                 1.465295 
                 0.911690 
               
               
                 0.390807 
                 1.418997 
                 0.911690 
               
               
                 0.424843 
                 1.368612 
                 0.911690 
               
               
                 0.454148 
                 1.312963 
                 0.911690 
               
               
                 0.480282 
                 1.255766 
                 0.911690 
               
               
                 0.504843 
                 1.197862 
                 0.911690 
               
               
                 0.528710 
                 1.139674 
                 0.911690 
               
               
                 0.552094 
                 1.081288 
                 0.911690 
               
               
                 0.575256 
                 1.022815 
                 0.911690 
               
               
                 0.598578 
                 0.964403 
                 0.911690 
               
               
                 0.622061 
                 0.906054 
                 0.911690 
               
               
                 0.645681 
                 0.847767 
                 0.911690 
               
               
                 0.669734 
                 0.789653 
                 0.911690 
               
               
                 0.694444 
                 0.731812 
                 0.911690 
               
               
                 0.719735 
                 0.674230 
                 0.911690 
               
               
                 0.745262 
                 0.616748 
                 0.911690 
               
               
                 0.770678 
                 0.559216 
                 0.911690 
               
               
                 0.794843 
                 0.503431 
                 0.911690 
               
               
                 0.818673 
                 0.447497 
                 0.911690 
               
               
                 0.841549 
                 0.393433 
                 0.911690 
               
               
                 0.862902 
                 0.343283 
                 0.911690 
               
               
                 0.883611 
                 0.295140 
                 0.911690 
               
               
                 0.902772 
                 0.250898 
                 0.911690 
               
               
                 0.920323 
                 0.210508 
                 0.911690 
               
               
                 0.936201 
                 0.173983 
                 0.911690 
               
               
                 0.950420 
                 0.141297 
                 0.911690 
               
               
                 0.962954 
                 0.112463 
                 0.911690 
               
               
                 0.973817 
                 0.087468 
                 0.911690 
               
               
                 0.983007 
                 0.066313 
                 0.911690 
               
               
                 0.990525 
                 0.049010 
                 0.911690 
               
               
                 0.996371 
                 0.035547 
                 0.911690 
               
               
                 1.000000 
                 0.025713 
                 0.911690 
               
               
                 0.999851 
                 0.017328 
                 0.911690 
               
               
                 0.997671 
                 0.011432 
                 0.911690 
               
               
                 0.995318 
                 0.007964 
                 0.911690 
               
               
                 0.992358 
                 0.004991 
                 0.911690 
               
               
                 0.990674 
                 0.003740 
                 0.911690 
               
               
                 0.988890 
                 0.002651 
                 0.911690 
               
               
                 0.987329 
                 0.001883 
                 0.911690 
               
               
                 0.985719 
                 0.001251 
                 0.911690 
               
               
                 0.982350 
                 0.000359 
                 0.911690 
               
               
                 0.978907 
                 0.000000 
                 0.911690 
               
               
                 0.973717 
                 0.000520 
                 0.911690 
               
               
                 0.967264 
                 0.003059 
                 0.911690 
               
               
                 0.960824 
                 0.008881 
                 0.911690 
               
               
                 0.954098 
                 0.019000 
                 0.911690 
               
               
                 0.945478 
                 0.032030 
                 0.911690 
               
               
                 0.934950 
                 0.047945 
                 0.911690 
               
               
                 0.922490 
                 0.066759 
                 0.911690 
               
               
                 0.908135 
                 0.088471 
                 0.911690 
               
               
                 0.891848 
                 0.113082 
                 0.911690 
               
               
                 0.873653 
                 0.140578 
                 0.911690 
               
               
                 0.853551 
                 0.170985 
                 0.911690 
               
               
                 0.831517 
                 0.204266 
                 0.911690 
               
               
                 0.807575 
                 0.240457 
                 0.911690 
               
               
                 0.782643 
                 0.278060 
                 0.911690 
               
               
                 0.755654 
                 0.318475 
                 0.911690 
               
               
                 0.727464 
                 0.360177 
                 0.911690 
               
               
                 0.698903 
                 0.401620 
                 0.911690 
               
               
                 0.669041 
                 0.444264 
                 0.911690 
               
               
                 0.639315 
                 0.487007 
                 0.911690 
               
               
                 0.610307 
                 0.530258 
                 0.911690 
               
               
                 0.582514 
                 0.574290 
                 0.911690 
               
               
                 0.555872 
                 0.619015 
                 0.911690 
               
               
                 0.529825 
                 0.664099 
                 0.911690 
               
               
                 0.504124 
                 0.709381 
                 0.911690 
               
               
                 0.479180 
                 0.755084 
                 0.911690 
               
               
                 0.455325 
                 0.801370 
                 0.911690 
               
               
                 0.432622 
                 0.848225 
                 0.911690 
               
               
                 0.411776 
                 0.895935 
                 0.911690 
               
               
                 0.392393 
                 0.944252 
                 0.911690 
               
               
                 0.372179 
                 0.992234 
                 0.911690 
               
               
                 0.349749 
                 1.039226 
                 0.911690 
               
               
                 0.325906 
                 1.083554 
                 0.911690 
               
               
                 0.299995 
                 1.126706 
                 0.911690 
               
               
                 0.272672 
                 1.166885 
                 0.911690 
               
               
                 0.244878 
                 1.202445 
                 0.911690 
               
               
                 0.215611 
                 1.234462 
                 0.911690 
               
               
                 0.186232 
                 1.261488 
                 0.911690 
               
               
                 0.156865 
                 1.283076 
                 0.911690 
               
               
                 0.127908 
                 1.298856 
                 0.911690 
               
               
                 0.100733 
                 1.310362 
                 0.911690 
               
               
                 0.076470 
                 1.319787 
                 0.911690 
               
               
                 0.055847 
                 1.328928 
                 0.911690 
               
               
                 0.038730 
                 1.337375 
                 0.911690 
               
               
                 0.024895 
                 1.344633 
                 0.911690 
               
               
                 0.014677 
                 1.351210 
                 0.911690 
               
               
                 0.008336 
                 1.357130 
                 0.911690 
               
               
                 0.004434 
                 1.362865 
                 0.911690 
               
               
                 0.002390 
                 1.367658 
                 0.911690 
               
               
                 0.001474 
                 1.371003 
                 0.911690 
               
               
                 0.000768 
                 1.374409 
                 0.911690 
               
               
                 0.000508 
                 1.376118 
                 0.911690 
               
               
                 0.000111 
                 1.379933 
                 0.911690 
               
               
                 0.000000 
                 1.382026 
                 0.911690 
               
             
          
           
               
                 Section 14 
               
             
          
           
               
                 0.000000 
                 1.396684 
                 0.941207 
               
               
                 0.000252 
                 1.400848 
                 0.941207 
               
               
                 0.001098 
                 1.407044 
                 0.941207 
               
               
                 0.002966 
                 1.415184 
                 0.941207 
               
               
                 0.006348 
                 1.425052 
                 0.941207 
               
               
                 0.012430 
                 1.438316 
                 0.941207 
               
               
                 0.020936 
                 1.455049 
                 0.941207 
               
               
                 0.032824 
                 1.474673 
                 0.941207 
               
               
                 0.049204 
                 1.496290 
                 0.941207 
               
               
                 0.070872 
                 1.518854 
                 0.941207 
               
               
                 0.098988 
                 1.540458 
                 0.941207 
               
               
                 0.134676 
                 1.557684 
                 0.941207 
               
               
                 0.177835 
                 1.565180 
                 0.941207 
               
               
                 0.225184 
                 1.557406 
                 0.941207 
               
               
                 0.271712 
                 1.533871 
                 0.941207 
               
               
                 0.314518 
                 1.500568 
                 0.941207 
               
               
                 0.355594 
                 1.459062 
                 0.941207 
               
               
                 0.392797 
                 1.411360 
                 0.941207 
               
               
                 0.425040 
                 1.360188 
                 0.941207 
               
               
                 0.453573 
                 1.304498 
                 0.941207 
               
               
                 0.479657 
                 1.247621 
                 0.941207 
               
               
                 0.504594 
                 1.190227 
                 0.941207 
               
               
                 0.529063 
                 1.132644 
                 0.941207 
               
               
                 0.553154 
                 1.074897 
                 0.941207 
               
               
                 0.577030 
                 1.017049 
                 0.941207 
               
               
                 0.600868 
                 0.959201 
                 0.941207 
               
               
                 0.624732 
                 0.901353 
                 0.941207 
               
               
                 0.648583 
                 0.843505 
                 0.941207 
               
               
                 0.672762 
                 0.785795 
                 0.941207 
               
               
                 0.697522 
                 0.728326 
                 0.941207 
               
               
                 0.722761 
                 0.671071 
                 0.941207 
               
               
                 0.748176 
                 0.613892 
                 0.941207 
               
               
                 0.773441 
                 0.556649 
                 0.941207 
               
               
                 0.797418 
                 0.501111 
                 0.941207 
               
               
                 0.821042 
                 0.445433 
                 0.941207 
               
               
                 0.843744 
                 0.391623 
                 0.941207 
               
               
                 0.864983 
                 0.341725 
                 0.941207 
               
               
                 0.885629 
                 0.293834 
                 0.941207 
               
               
                 0.904747 
                 0.249842 
                 0.941207 
               
               
                 0.922276 
                 0.209699 
                 0.941207 
               
               
                 0.938151 
                 0.173393 
                 0.941207 
               
               
                 0.952361 
                 0.140898 
                 0.941207 
               
               
                 0.964892 
                 0.112238 
                 0.941207 
               
               
                 0.975770 
                 0.087403 
                 0.941207 
               
               
                 0.984692 
                 0.066265 
                 0.941207 
               
               
                 0.991987 
                 0.048964 
                 0.941207 
               
               
                 0.997514 
                 0.035474 
                 0.941207 
               
               
                 1.000000 
                 0.025340 
                 0.941207 
               
               
                 0.998902 
                 0.017074 
                 0.941207 
               
               
                 0.996265 
                 0.011395 
                 0.941207 
               
               
                 0.993753 
                 0.008077 
                 0.941207 
               
               
                 0.990712 
                 0.005225 
                 0.941207 
               
               
                 0.989021 
                 0.004000 
                 0.941207 
               
               
                 0.987229 
                 0.002915 
                 0.941207 
               
               
                 0.985677 
                 0.002145 
                 0.941207 
               
               
                 0.984061 
                 0.001476 
                 0.941207 
               
               
                 0.980730 
                 0.000517 
                 0.941207 
               
               
                 0.977285 
                 0.000000 
                 0.941207 
               
               
                 0.972073 
                 0.000189 
                 0.941207 
               
               
                 0.965397 
                 0.002145 
                 0.941207 
               
               
                 0.958305 
                 0.007193 
                 0.941207 
               
               
                 0.950645 
                 0.016658 
                 0.941207 
               
               
                 0.941698 
                 0.029505 
                 0.941207 
               
               
                 0.931148 
                 0.045468 
                 0.941207 
               
               
                 0.918679 
                 0.064335 
                 0.941207 
               
               
                 0.904306 
                 0.086103 
                 0.941207 
               
               
                 0.888039 
                 0.110800 
                 0.941207 
               
               
                 0.869854 
                 0.138399 
                 0.941207 
               
               
                 0.849814 
                 0.168938 
                 0.941207 
               
               
                 0.827856 
                 0.202380 
                 0.941207 
               
               
                 0.803968 
                 0.238712 
                 0.941207 
               
               
                 0.779069 
                 0.276470 
                 0.941207 
               
               
                 0.752152 
                 0.317054 
                 0.941207 
               
               
                 0.724023 
                 0.358938 
                 0.941207 
               
               
                 0.695540 
                 0.400558 
                 0.941207 
               
               
                 0.665758 
                 0.443414 
                 0.941207 
               
               
                 0.636039 
                 0.486308 
                 0.941207 
               
               
                 0.606850 
                 0.529568 
                 0.941207 
               
               
                 0.578557 
                 0.573421 
                 0.941207 
               
               
                 0.551223 
                 0.617867 
                 0.941207 
               
               
                 0.524608 
                 0.662755 
                 0.941207 
               
               
                 0.498700 
                 0.708046 
                 0.941207 
               
               
                 0.473903 
                 0.753969 
                 0.941207 
               
               
                 0.450317 
                 0.800510 
                 0.941207 
               
               
                 0.427677 
                 0.847530 
                 0.941207 
               
               
                 0.406464 
                 0.895207 
                 0.941207 
               
               
                 0.386474 
                 0.943414 
                 0.941207 
               
               
                 0.365778 
                 0.991318 
                 0.941207 
               
               
                 0.343227 
                 1.038376 
                 0.941207 
               
               
                 0.319616 
                 1.082948 
                 0.941207 
               
               
                 0.294187 
                 1.126511 
                 0.941207 
               
               
                 0.267371 
                 1.167171 
                 0.941207 
               
               
                 0.239898 
                 1.203099 
                 0.941207 
               
               
                 0.210898 
                 1.235506 
                 0.941207 
               
               
                 0.181873 
                 1.263042 
                 0.941207 
               
               
                 0.153038 
                 1.285467 
                 0.941207 
               
               
                 0.124744 
                 1.302554 
                 0.941207 
               
               
                 0.098193 
                 1.315552 
                 0.941207 
               
               
                 0.074443 
                 1.326367 
                 0.941207 
               
               
                 0.054315 
                 1.336652 
                 0.941207 
               
               
                 0.037669 
                 1.346104 
                 0.941207 
               
               
                 0.024242 
                 1.354156 
                 0.941207 
               
               
                 0.014361 
                 1.361273 
                 0.941207 
               
               
                 0.008278 
                 1.367495 
                 0.941207 
               
               
                 0.004530 
                 1.373350 
                 0.941207 
               
               
                 0.002511 
                 1.378158 
                 0.941207 
               
               
                 0.001590 
                 1.381515 
                 0.941207 
               
               
                 0.000858 
                 1.384922 
                 0.941207 
               
               
                 0.000581 
                 1.386638 
                 0.941207 
               
               
                 0.000151 
                 1.390437 
                 0.941207 
               
               
                 0.000025 
                 1.392519 
                 0.941207 
               
               
                 0.000000 
                 1.396684 
                 0.941207 
               
             
          
           
               
                 Section 15 
               
             
          
           
               
                 0.000000 
                 1.405282 
                 0.970604 
               
               
                 0.000592 
                 1.411476 
                 0.970604 
               
               
                 0.002382 
                 1.419576 
                 0.970604 
               
               
                 0.006091 
                 1.429272 
                 0.970604 
               
               
                 0.012942 
                 1.442072 
                 0.970604 
               
               
                 0.022548 
                 1.458078 
                 0.970604 
               
               
                 0.035502 
                 1.476866 
                 0.970604 
               
               
                 0.052642 
                 1.497676 
                 0.970604 
               
               
                 0.074829 
                 1.519490 
                 0.970604 
               
               
                 0.103648 
                 1.539810 
                 0.970604 
               
               
                 0.140193 
                 1.554567 
                 0.970604 
               
               
                 0.183499 
                 1.559254 
                 0.970604 
               
               
                 0.230346 
                 1.550227 
                 0.970604 
               
               
                 0.276704 
                 1.526997 
                 0.970604 
               
               
                 0.319173 
                 1.493748 
                 0.970604 
               
               
                 0.358461 
                 1.450983 
                 0.970604 
               
               
                 0.392457 
                 1.401368 
                 0.970604 
               
               
                 0.421997 
                 1.348958 
                 0.970604 
               
               
                 0.449618 
                 1.293212 
                 0.970604 
               
               
                 0.475836 
                 1.236772 
                 0.970604 
               
               
                 0.501449 
                 1.180061 
                 0.970604 
               
               
                 0.526855 
                 1.123260 
                 0.970604 
               
               
                 0.552133 
                 1.066395 
                 0.970604 
               
               
                 0.577218 
                 1.009452 
                 0.970604 
               
               
                 0.602084 
                 0.952406 
                 0.970604 
               
               
                 0.626743 
                 0.895283 
                 0.970604 
               
               
                 0.651261 
                 0.838083 
                 0.970604 
               
               
                 0.675960 
                 0.780973 
                 0.970604 
               
               
                 0.701122 
                 0.724056 
                 0.970604 
               
               
                 0.726657 
                 0.667319 
                 0.970604 
               
               
                 0.752295 
                 0.610621 
                 0.970604 
               
               
                 0.777715 
                 0.553820 
                 0.970604 
               
               
                 0.801731 
                 0.498667 
                 0.970604 
               
               
                 0.825334 
                 0.443334 
                 0.970604 
               
               
                 0.847972 
                 0.389855 
                 0.970604 
               
               
                 0.869130 
                 0.340253 
                 0.970604 
               
               
                 0.889669 
                 0.292646 
                 0.970604 
               
               
                 0.908650 
                 0.248876 
                 0.970604 
               
               
                 0.926047 
                 0.208944 
                 0.970604 
               
               
                 0.941795 
                 0.172811 
                 0.970604 
               
               
                 0.955896 
                 0.140490 
                 0.970604 
               
               
                 0.968335 
                 0.111980 
                 0.970604 
               
               
                 0.979113 
                 0.087255 
                 0.970604 
               
               
                 0.988256 
                 0.066356 
                 0.970604 
               
               
                 0.995055 
                 0.048998 
                 0.970604 
               
               
                 0.999433 
                 0.035193 
                 0.970604 
               
               
                 1.000000 
                 0.024840 
                 0.970604 
               
               
                 0.997708 
                 0.016869 
                 0.970604 
               
               
                 0.994527 
                 0.011525 
                 0.970604 
               
               
                 0.991797 
                 0.008396 
                 0.970604 
               
               
                 0.988655 
                 0.005679 
                 0.970604 
               
               
                 0.986943 
                 0.004507 
                 0.970604 
               
               
                 0.985166 
                 0.003451 
                 0.970604 
               
               
                 0.983607 
                 0.002666 
                 0.970604 
               
               
                 0.982011 
                 0.001983 
                 0.970604 
               
               
                 0.978701 
                 0.000901 
                 0.970604 
               
               
                 0.975289 
                 0.000219 
                 0.970604 
               
               
                 0.970086 
                 0.000000 
                 0.970604 
               
               
                 0.963223 
                 0.001172 
                 0.970604 
               
               
                 0.955406 
                 0.004971 
                 0.970604 
               
               
                 0.946418 
                 0.013173 
                 0.970604 
               
               
                 0.937044 
                 0.025716 
                 0.970604 
               
               
                 0.926549 
                 0.041696 
                 0.970604 
               
               
                 0.914109 
                 0.060587 
                 0.970604 
               
               
                 0.899790 
                 0.082388 
                 0.970604 
               
               
                 0.883578 
                 0.107099 
                 0.970604 
               
               
                 0.865473 
                 0.134734 
                 0.970604 
               
               
                 0.845500 
                 0.165317 
                 0.970604 
               
               
                 0.823622 
                 0.198797 
                 0.970604 
               
               
                 0.799838 
                 0.235175 
                 0.970604 
               
               
                 0.775036 
                 0.272982 
                 0.970604 
               
               
                 0.748226 
                 0.313636 
                 0.970604 
               
               
                 0.720218 
                 0.355564 
                 0.970604 
               
               
                 0.691837 
                 0.397247 
                 0.970604 
               
               
                 0.662142 
                 0.440141 
                 0.970604 
               
               
                 0.632396 
                 0.483009 
                 0.970604 
               
               
                 0.602895 
                 0.526031 
                 0.970604 
               
               
                 0.573870 
                 0.569376 
                 0.970604 
               
               
                 0.545566 
                 0.613196 
                 0.970604 
               
               
                 0.518150 
                 0.657584 
                 0.970604 
               
               
                 0.491920 
                 0.702680 
                 0.970604 
               
               
                 0.467311 
                 0.748677 
                 0.970604 
               
               
                 0.444107 
                 0.795395 
                 0.970604 
               
               
                 0.421533 
                 0.842422 
                 0.970604 
               
               
                 0.399797 
                 0.889849 
                 0.970604 
               
               
                 0.378897 
                 0.937649 
                 0.970604 
               
               
                 0.357547 
                 0.985256 
                 0.970604 
               
               
                 0.334960 
                 1.032283 
                 0.970604 
               
               
                 0.311962 
                 1.077160 
                 0.970604 
               
               
                 0.287598 
                 1.121316 
                 0.970604 
               
               
                 0.261870 
                 1.162651 
                 0.970604 
               
               
                 0.235201 
                 1.199158 
                 0.970604 
               
               
                 0.206858 
                 1.232123 
                 0.970604 
               
               
                 0.178503 
                 1.260324 
                 0.970604 
               
               
                 0.150456 
                 1.283709 
                 0.970604 
               
               
                 0.123105 
                 1.302252 
                 0.970604 
               
               
                 0.097390 
                 1.316829 
                 0.970604 
               
               
                 0.074211 
                 1.328792 
                 0.970604 
               
               
                 0.054393 
                 1.339686 
                 0.970604 
               
               
                 0.038039 
                 1.349589 
                 0.970604 
               
               
                 0.024969 
                 1.358203 
                 0.970604 
               
               
                 0.015478 
                 1.365827 
                 0.970604 
               
               
                 0.009632 
                 1.372265 
                 0.970604 
               
               
                 0.005872 
                 1.378111 
                 0.970604 
               
               
                 0.003696 
                 1.382850 
                 0.970604 
               
               
                 0.002563 
                 1.386147 
                 0.970604 
               
               
                 0.001635 
                 1.389495 
                 0.970604 
               
               
                 0.001249 
                 1.391195 
                 0.970604 
               
               
                 0.000579 
                 1.394942 
                 0.970604 
               
               
                 0.000309 
                 1.397002 
                 0.970604 
               
               
                 0.000000 
                 1.401136 
                 0.970604 
               
             
          
           
               
                 Section 16 
               
             
          
           
               
                 0.000000 
                 1.399556 
                 1.000000 
               
               
                 0.000013 
                 1.405727 
                 1.000000 
               
               
                 0.001431 
                 1.413827 
                 1.000000 
               
               
                 0.005238 
                 1.423384 
                 1.000000 
               
               
                 0.012734 
                 1.435672 
                 1.000000 
               
               
                 0.023421 
                 1.450796 
                 1.000000 
               
               
                 0.037350 
                 1.468637 
                 1.000000 
               
               
                 0.055046 
                 1.488670 
                 1.000000 
               
               
                 0.077443 
                 1.509899 
                 1.000000 
               
               
                 0.106666 
                 1.529105 
                 1.000000 
               
               
                 0.143767 
                 1.541380 
                 1.000000 
               
               
                 0.186906 
                 1.543546 
                 1.000000 
               
               
                 0.233327 
                 1.534370 
                 1.000000 
               
               
                 0.280077 
                 1.512944 
                 1.000000 
               
               
                 0.322625 
                 1.480544 
                 1.000000 
               
               
                 0.359594 
                 1.436368 
                 1.000000 
               
               
                 0.389041 
                 1.384498 
                 1.000000 
               
               
                 0.414851 
                 1.330712 
                 1.000000 
               
               
                 0.441461 
                 1.275035 
                 1.000000 
               
               
                 0.467993 
                 1.219319 
                 1.000000 
               
               
                 0.494539 
                 1.163617 
                 1.000000 
               
               
                 0.521255 
                 1.107979 
                 1.000000 
               
               
                 0.548128 
                 1.052434 
                 1.000000 
               
               
                 0.574909 
                 0.996836 
                 1.000000 
               
               
                 0.601231 
                 0.941015 
                 1.000000 
               
               
                 0.627081 
                 0.884984 
                 1.000000 
               
               
                 0.652641 
                 0.828822 
                 1.000000 
               
               
                 0.678215 
                 0.772659 
                 1.000000 
               
               
                 0.704104 
                 0.716641 
                 1.000000 
               
               
                 0.730268 
                 0.660755 
                 1.000000 
               
               
                 0.756472 
                 0.604881 
                 1.000000 
               
               
                 0.782295 
                 0.548837 
                 1.000000 
               
               
                 0.806530 
                 0.494329 
                 1.000000 
               
               
                 0.830253 
                 0.439597 
                 1.000000 
               
               
                 0.852938 
                 0.386651 
                 1.000000 
               
               
                 0.874022 
                 0.337499 
                 1.000000 
               
               
                 0.894371 
                 0.290277 
                 1.000000 
               
               
                 0.913078 
                 0.246810 
                 1.000000 
               
               
                 0.930171 
                 0.207150 
                 1.000000 
               
               
                 0.945623 
                 0.171244 
                 1.000000 
               
               
                 0.959460 
                 0.139132 
                 1.000000 
               
               
                 0.971656 
                 0.110789 
                 1.000000 
               
               
                 0.982251 
                 0.086239 
                 1.000000 
               
               
                 0.991191 
                 0.065457 
                 1.000000 
               
               
                 0.998346 
                 0.048377 
                 1.000000 
               
               
                 1.000000 
                 0.034081 
                 1.000000 
               
               
                 0.997781 
                 0.024038 
                 1.000000 
               
               
                 0.994053 
                 0.016699 
                 1.000000 
               
               
                 0.990259 
                 0.011828 
                 1.000000 
               
               
                 0.987305 
                 0.008967 
                 1.000000 
               
               
                 0.984049 
                 0.006459 
                 1.000000 
               
               
                 0.982316 
                 0.005330 
                 1.000000 
               
               
                 0.980531 
                 0.004319 
                 1.000000 
               
               
                 0.978995 
                 0.003531 
                 1.000000 
               
               
                 0.977420 
                 0.002809 
                 1.000000 
               
               
                 0.974164 
                 0.001628 
                 1.000000 
               
               
                 0.970829 
                 0.000735 
                 1.000000 
               
               
                 0.965683 
                 0.000000 
                 1.000000 
               
               
                 0.958764 
                 0.000144 
                 1.000000 
               
               
                 0.950349 
                 0.002127 
                 1.000000 
               
               
                 0.939781 
                 0.008048 
                 1.000000 
               
               
                 0.929764 
                 0.019968 
                 1.000000 
               
               
                 0.919380 
                 0.035919 
                 1.000000 
               
               
                 0.907092 
                 0.054758 
                 1.000000 
               
               
                 0.892913 
                 0.076498 
                 1.000000 
               
               
                 0.876858 
                 0.101140 
                 1.000000 
               
               
                 0.858898 
                 0.128669 
                 1.000000 
               
               
                 0.839048 
                 0.159114 
                 1.000000 
               
               
                 0.817308 
                 0.192446 
                 1.000000 
               
               
                 0.793691 
                 0.228680 
                 1.000000 
               
               
                 0.769115 
                 0.266358 
                 1.000000 
               
               
                 0.742543 
                 0.306871 
                 1.000000 
               
               
                 0.714738 
                 0.348632 
                 1.000000 
               
               
                 0.686565 
                 0.390156 
                 1.000000 
               
               
                 0.657039 
                 0.432849 
                 1.000000 
               
               
                 0.627265 
                 0.475358 
                 1.000000 
               
               
                 0.597372 
                 0.517802 
                 1.000000 
               
               
                 0.567453 
                 0.560206 
                 1.000000 
               
               
                 0.537914 
                 0.602899 
                 1.000000 
               
               
                 0.509518 
                 0.646340 
                 1.000000 
               
               
                 0.482933 
                 0.690923 
                 1.000000 
               
               
                 0.458607 
                 0.736780 
                 1.000000 
               
               
                 0.435934 
                 0.783464 
                 1.000000 
               
               
                 0.413485 
                 0.830266 
                 1.000000 
               
               
                 0.391075 
                 0.877094 
                 1.000000 
               
               
                 0.369007 
                 0.924067 
                 1.000000 
               
               
                 0.346833 
                 0.971000 
                 1.000000 
               
               
                 0.324358 
                 1.017789 
                 1.000000 
               
               
                 0.302460 
                 1.062937 
                 1.000000 
               
               
                 0.279853 
                 1.107730 
                 1.000000 
               
               
                 0.255934 
                 1.149858 
                 1.000000 
               
               
                 0.230636 
                 1.187063 
                 1.000000 
               
               
                 0.203461 
                 1.220698 
                 1.000000 
               
               
                 0.176154 
                 1.249659 
                 1.000000 
               
               
                 0.149202 
                 1.274025 
                 1.000000 
               
               
                 0.123155 
                 1.294084 
                 1.000000 
               
               
                 0.098606 
                 1.310271 
                 1.000000 
               
               
                 0.076078 
                 1.323176 
                 1.000000 
               
               
                 0.056451 
                 1.334152 
                 1.000000 
               
               
                 0.040159 
                 1.343998 
                 1.000000 
               
               
                 0.027425 
                 1.352951 
                 1.000000 
               
               
                 0.018393 
                 1.361025 
                 1.000000 
               
               
                 0.012800 
                 1.367615 
                 1.000000 
               
               
                 0.008927 
                 1.373352 
                 1.000000 
               
               
                 0.006380 
                 1.377882 
                 1.000000 
               
               
                 0.004897 
                 1.381006 
                 1.000000 
               
               
                 0.003584 
                 1.384209 
                 1.000000 
               
               
                 0.002993 
                 1.385837 
                 1.000000 
               
               
                 0.001877 
                 1.389461 
                 1.000000 
               
               
                 0.001339 
                 1.391443 
                 1.000000 
               
               
                 0.000499 
                 1.395473 
                 1.000000 
               
               
                 0.000000 
                 1.399556 
                 1.000000 
               
               
                   
               
             
          
         
       
     
     Table 2, Axial Chord Distribution, tabulates the variation in the radial direction of the axial chord of each of the cold, uncoated blade sections shown in  FIG. 6 . The airfoil sections each have a unique axial chord, and this chord is used in normalizing the airfoil section coordinates. For simplicity the local axial chord has been normalized by the root axial chord. So, for example, the tip section has an axial chord that is only 65.9% of the length of the root section (typical of a turbine blade). 
     
       
         
               
             
               
               
               
             
           
               
                 TABLE 2 
               
             
             
               
                   
               
               
                 Axial Chord Distribution 
               
             
          
           
               
                   
                 Radial Span 
                   
               
               
                   
                 Fraction 
                 Bx/BxRoot 
               
               
                   
                   
               
               
                   
                 0.000000 
                 1.000000 
               
               
                   
                 0.053543 
                 0.977986 
               
               
                   
                 0.142782 
                 0.945969 
               
               
                   
                 0.249869 
                 0.915206 
               
               
                   
                 0.375013 
                 0.887715 
               
               
                   
                 0.499738 
                 0.859176 
               
               
                   
                 0.624987 
                 0.819432 
               
               
                   
                 0.688714 
                 0.794787 
               
               
                   
                 0.750131 
                 0.768499 
               
               
                   
                 0.796325 
                 0.747809 
               
               
                   
                 0.835696 
                 0.730424 
               
               
                   
                 0.875066 
                 0.714121 
               
               
                   
                 0.911690 
                 0.698649 
               
               
                   
                 0.941207 
                 0.685704 
               
               
                   
                 0.970604 
                 0.671988 
               
               
                   
                 1.000000 
                 0.659138 
               
               
                   
                   
               
             
          
         
       
     
     Table 3, Radial Stacking Distribution, tabulates the offsets for cold, uncoated blades required to accurately stack the blade airfoil sections of  FIG. 6  relative to one another in accord with the sections as dimensioned in the foregoing. For example, the leading edge points are not all lined up along a radial line, there is some axial sweep and tangential lean to the three dimensional blade shape. A radial distribution of axial and tangential offsets is supplied, all relative to the root section. The offsets are normalized by the root axial chord in the axial direction and by the root pitch in the tangential direction. 
     
       
         
               
             
               
               
               
             
               
               
               
             
           
               
                 TABLE 3 
               
             
             
               
                   
               
               
                 Radial Stacking Distribution 
               
             
          
           
               
                   
                 Axial Offset (Normalized 
                 Tangential Offset 
               
               
                 Radial Span 
                 by Root Bx) of LE Point 
                 (Normalized By Root Pitch) 
               
               
                 Fraction 
                 Relative to Root LE 
                 of LE Point Relative to Root LE 
               
               
                   
               
             
          
           
               
                 0.000000 
                 0.00000 
                 0.00000 
               
               
                 0.053543 
                 0.02198 
                 −0.01591 
               
               
                 0.142782 
                 0.05290 
                 −0.03948 
               
               
                 0.249869 
                 0.08066 
                 −0.06302 
               
               
                 0.375013 
                 0.10232 
                 −0.08381 
               
               
                 0.499738 
                 0.12246 
                 −0.09666 
               
               
                 0.624987 
                 0.14962 
                 −0.09909 
               
               
                 0.688714 
                 0.16394 
                 −0.09320 
               
               
                 0.750131 
                 0.17619 
                 −0.08087 
               
               
                 0.796325 
                 0.18304 
                 −0.06628 
               
               
                 0.835696 
                 0.18646 
                 −0.04983 
               
               
                 0.875066 
                 0.18695 
                 −0.02916 
               
               
                 0.911690 
                 0.18632 
                 −0.00568 
               
               
                 0.941207 
                 0.18587 
                 0.01662 
               
               
                 0.970604 
                 0.18551 
                 0.04186 
               
               
                 1.000000 
                 0.18491 
                 0.07030 
               
               
                   
               
             
          
         
       
     
     Table 4, Inner Diameter Flowpath, tabulates the normalized coordinates of the cold, uncoated ring platform surface forming the inner diameter passageway limit described above with a surface profile tolerance of ±0.0500 in. including coating and manufacturing variability. The ring platform surface, or flowpath, is a three dimensional shape that begins upstream of the root section leading edge and concludes downstream of the root section trailing edge. The flowpath varies in radius from the engine centerline with both axial and tangential position, and so the coordinates describe a surface rather than a line. The axial coordinate is normalized by the root axial chord, the tangential coordinate is normalized by the root pitch, and the radial coordinate is normalized by the airfoil span. The origin (0,0,0) of the surface is aligned with the root section leading edge. The surface platform surface dips below the root section radius in some places which leads to negative radial values in the table for those locations. 
     
       
         
               
             
               
               
               
             
               
               
               
             
           
               
                 TABLE 4 
               
             
             
               
                   
               
               
                 Inner Diameter Flowpath 
               
             
          
           
               
                 X/Root_Bx 
                 Y/Root_Pitch 
                 Z/Span 
               
               
                   
               
             
          
           
               
                 −0.614825 
                 −1.622024 
                 −0.167559 
               
               
                 −0.614825 
                 −1.573205 
                 −0.162677 
               
               
                 −0.614825 
                 −1.524294 
                 −0.158005 
               
               
                 −0.614825 
                 −1.475383 
                 −0.153438 
               
               
                 −0.614825 
                 −1.426471 
                 −0.149029 
               
               
                 −0.614825 
                 −1.377468 
                 −0.144777 
               
               
                 −0.614825 
                 −1.328371 
                 −0.140682 
               
               
                 −0.614825 
                 −1.279368 
                 −0.136693 
               
               
                 −0.614825 
                 −1.230271 
                 −0.132861 
               
               
                 −0.614825 
                 −1.181083 
                 −0.129186 
               
               
                 −0.614825 
                 −1.131894 
                 −0.125669 
               
               
                 −0.614825 
                 −1.082705 
                 −0.122257 
               
               
                 −0.614825 
                 −1.033517 
                 −0.119055 
               
               
                 −0.614825 
                 −0.984236 
                 −0.115958 
               
               
                 −0.614825 
                 −0.934954 
                 −0.112966 
               
               
                 −0.614825 
                 −0.885581 
                 −0.110184 
               
               
                 −0.614825 
                 −0.836207 
                 −0.107559 
               
               
                 −0.614825 
                 −0.786926 
                 −0.105039 
               
               
                 −0.614825 
                 −0.737460 
                 −0.102677 
               
               
                 −0.614825 
                 −0.688087 
                 −0.100472 
               
               
                 −0.614825 
                 −0.638620 
                 −0.098373 
               
               
                 −0.614825 
                 −0.589154 
                 −0.096483 
               
               
                 −0.614825 
                 −0.539688 
                 −0.094698 
               
               
                 −0.614825 
                 −0.490222 
                 −0.093071 
               
               
                 −0.614825 
                 −0.440756 
                 −0.091601 
               
               
                 −0.614825 
                 −0.391198 
                 −0.090236 
               
               
                 −0.614825 
                 −0.341732 
                 −0.089081 
               
               
                 −0.614825 
                 −0.292173 
                 −0.088031 
               
               
                 −0.614825 
                 −0.242615 
                 −0.087139 
               
               
                 −0.614825 
                 −0.193056 
                 −0.086404 
               
               
                 −0.614825 
                 −0.143590 
                 −0.085827 
               
               
                 −0.614825 
                 −0.094032 
                 −0.085354 
               
               
                 −0.614825 
                 −0.044381 
                 −0.085039 
               
               
                 −0.614825 
                 0.005178 
                 −0.084934 
               
               
                 −0.614825 
                 0.054736 
                 −0.084882 
               
               
                 −0.614825 
                 0.104295 
                 −0.085039 
               
               
                 −0.614825 
                 0.153853 
                 −0.085354 
               
               
                 −0.614825 
                 0.203412 
                 −0.085774 
               
               
                 −0.614825 
                 0.252970 
                 −0.086352 
               
               
                 −0.614825 
                 0.302529 
                 −0.087087 
               
               
                 −0.614825 
                 0.351995 
                 −0.087979 
               
               
                 −0.614825 
                 0.401553 
                 −0.088976 
               
               
                 −0.614825 
                 0.451112 
                 −0.090184 
               
               
                 −0.614825 
                 0.500578 
                 −0.091496 
               
               
                 −0.614825 
                 0.550136 
                 −0.092966 
               
               
                 −0.614825 
                 0.599602 
                 −0.094593 
               
               
                 −0.614825 
                 0.649068 
                 −0.096325 
               
               
                 −0.614825 
                 0.698535 
                 −0.098215 
               
               
                 −0.614825 
                 0.747908 
                 −0.100315 
               
               
                 −0.614825 
                 0.797374 
                 −0.102520 
               
               
                 −0.614825 
                 0.846748 
                 −0.104829 
               
               
                 −0.614825 
                 0.896121 
                 −0.107349 
               
               
                 −0.614825 
                 0.945495 
                 −0.109974 
               
               
                 −0.614825 
                 0.994776 
                 −0.112756 
               
               
                 −0.614825 
                 1.044057 
                 −0.115696 
               
               
                 −0.614825 
                 1.093338 
                 −0.118793 
               
               
                 −0.614825 
                 1.142619 
                 −0.121995 
               
               
                 −0.614825 
                 1.191808 
                 −0.125407 
               
               
                 −0.614825 
                 1.240997 
                 −0.128924 
               
               
                 −0.614825 
                 1.290093 
                 −0.132598 
               
               
                 −0.614825 
                 1.339189 
                 −0.136378 
               
               
                 −0.614825 
                 1.388285 
                 −0.140367 
               
               
                 −0.614825 
                 1.437289 
                 −0.144462 
               
               
                 −0.614825 
                 1.486293 
                 −0.148714 
               
               
                 −0.614825 
                 1.535297 
                 −0.153123 
               
               
                 −0.614825 
                 1.584208 
                 −0.157638 
               
               
                 −0.614825 
                 1.633027 
                 −0.162362 
               
               
                 −0.614825 
                 1.681938 
                 −0.167192 
               
               
                 −0.614825 
                 1.730664 
                 −0.172126 
               
               
                 −0.614825 
                 1.779391 
                 −0.177270 
               
               
                 −0.614825 
                 1.828117 
                 −0.182520 
               
               
                 −0.614825 
                 1.876751 
                 −0.187927 
               
               
                 −0.614825 
                 1.925292 
                 −0.193491 
               
               
                 −0.614825 
                 1.973834 
                 −0.199213 
               
               
                 −0.614825 
                 2.022375 
                 −0.205039 
               
               
                 −0.614825 
                 2.070824 
                 −0.211024 
               
               
                 −0.614825 
                 2.119181 
                 −0.217165 
               
               
                 −0.614825 
                 2.167445 
                 −0.223465 
               
               
                 −0.614825 
                 2.215709 
                 −0.229869 
               
               
                 −0.614825 
                 2.263973 
                 −0.236430 
               
               
                 −0.614825 
                 2.312052 
                 −0.243150 
               
               
                 −0.571558 
                 −1.613795 
                 −0.162835 
               
               
                 −0.571558 
                 −1.564976 
                 −0.158005 
               
               
                 −0.571558 
                 −1.516065 
                 −0.153333 
               
               
                 −0.571558 
                 −1.467061 
                 −0.148819 
               
               
                 −0.571558 
                 −1.418057 
                 −0.144409 
               
               
                 −0.571558 
                 −1.369054 
                 −0.140210 
               
               
                 −0.571558 
                 −1.319957 
                 −0.136115 
               
               
                 −0.571558 
                 −1.270861 
                 −0.132178 
               
               
                 −0.571558 
                 −1.221673 
                 −0.128346 
               
               
                 −0.571558 
                 −1.172484 
                 −0.124724 
               
               
                 −0.571558 
                 −1.123295 
                 −0.121207 
               
               
                 −0.571558 
                 −1.074107 
                 −0.117848 
               
               
                 −0.571558 
                 −1.024825 
                 −0.114646 
               
               
                 −0.571558 
                 −0.975452 
                 −0.111549 
               
               
                 −0.571558 
                 −0.926171 
                 −0.108609 
               
               
                 −0.571558 
                 −0.876797 
                 −0.105879 
               
               
                 −0.571558 
                 −0.827424 
                 −0.103255 
               
               
                 −0.571558 
                 −0.777958 
                 −0.100735 
               
               
                 −0.571558 
                 −0.728584 
                 −0.098425 
               
               
                 −0.571558 
                 −0.679118 
                 −0.096220 
               
               
                 −0.571558 
                 −0.629652 
                 −0.094173 
               
               
                 −0.571558 
                 −0.580186 
                 −0.092283 
               
               
                 −0.571558 
                 −0.530627 
                 −0.090551 
               
               
                 −0.571558 
                 −0.481161 
                 −0.088976 
               
               
                 −0.571558 
                 −0.431603 
                 −0.087507 
               
               
                 −0.571558 
                 −0.382044 
                 −0.086194 
               
               
                 −0.571558 
                 −0.332486 
                 −0.085039 
               
               
                 −0.571558 
                 −0.282927 
                 −0.084042 
               
               
                 −0.571558 
                 −0.233369 
                 −0.083150 
               
               
                 −0.571558 
                 −0.183718 
                 −0.082467 
               
               
                 −0.571558 
                 −0.134159 
                 −0.081890 
               
               
                 −0.571558 
                 −0.084601 
                 −0.081470 
               
               
                 −0.571558 
                 −0.034950 
                 −0.081207 
               
               
                 −0.571558 
                 0.014609 
                 −0.081050 
               
               
                 −0.571558 
                 0.064260 
                 −0.081102 
               
               
                 −0.571558 
                 0.113818 
                 −0.081260 
               
               
                 −0.571558 
                 0.163377 
                 −0.081575 
               
               
                 −0.571558 
                 0.213028 
                 −0.082047 
               
               
                 −0.571558 
                 0.262586 
                 −0.082677 
               
               
                 −0.571558 
                 0.312145 
                 −0.083412 
               
               
                 −0.571558 
                 0.361796 
                 −0.084304 
               
               
                 −0.571558 
                 0.411354 
                 −0.085354 
               
               
                 −0.571558 
                 0.460913 
                 −0.086562 
               
               
                 −0.571558 
                 0.510471 
                 −0.087927 
               
               
                 −0.571558 
                 0.559937 
                 −0.089449 
               
               
                 −0.571558 
                 0.609496 
                 −0.091076 
               
               
                 −0.571558 
                 0.658962 
                 −0.092861 
               
               
                 −0.571558 
                 0.708428 
                 −0.094803 
               
               
                 −0.571558 
                 0.757894 
                 −0.096903 
               
               
                 −0.571558 
                 0.807360 
                 −0.099108 
               
               
                 −0.571558 
                 0.856826 
                 −0.101522 
               
               
                 −0.571558 
                 0.906199 
                 −0.104042 
               
               
                 −0.571558 
                 0.955573 
                 −0.106719 
               
               
                 −0.571558 
                 1.004947 
                 −0.109501 
               
               
                 −0.571558 
                 1.054228 
                 −0.112493 
               
               
                 −0.571558 
                 1.103509 
                 −0.115591 
               
               
                 −0.571558 
                 1.152790 
                 −0.118845 
               
               
                 −0.571558 
                 1.202071 
                 −0.122257 
               
               
                 −0.571558 
                 1.251260 
                 −0.125827 
               
               
                 −0.571558 
                 1.300448 
                 −0.129501 
               
               
                 −0.571558 
                 1.349545 
                 −0.133333 
               
               
                 −0.571558 
                 1.398641 
                 −0.137323 
               
               
                 −0.571558 
                 1.447737 
                 −0.141470 
               
               
                 −0.571558 
                 1.496741 
                 −0.145774 
               
               
                 −0.571558 
                 1.545745 
                 −0.150184 
               
               
                 −0.571558 
                 1.594656 
                 −0.154751 
               
               
                 −0.571558 
                 1.643567 
                 −0.159475 
               
               
                 −0.571558 
                 1.692386 
                 −0.164357 
               
               
                 −0.571558 
                 1.741205 
                 −0.169344 
               
               
                 −0.571558 
                 1.790024 
                 −0.174488 
               
               
                 −0.571558 
                 1.838750 
                 −0.179790 
               
               
                 −0.571558 
                 1.887384 
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                 1.548497 
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     The normalized coordinates for any of the sections of blade  10  shown in  FIG. 6 , and for the ring platform surface  14 , set out in the foregoing tables can be converted to the coordinates for a selected blade size and platform surface in absolute dimension space using the normalization equations given below. The conversion for use in converting normalized blade or airfoil surface coordinates for sections of the blade to absolute blade or airfoil coordinates are provided by the following equations beginning with the axial coordinates equation 
               x   absolute     =         (       x   local       Bx   local       )     ⁢     (       Bx   local       Bx   root       )     ⁢     (     Bx   root     )       +       (         x   ⁢   Offset     local       Bx   root       )     ⁢     (     Bx   root     )               
where
         x local /Bx local  is the normalized airfoil coordinate from Table 1,   Bx local /Bx root  is obtained from the Axial Chord Distribution from Table 2,
 
and
   XOffset local /Bx root  is obtained from the Radial Stacking Distribution from Table 3.
 
Similarly, the tangential coordinates can be found using
       
               y   absolute     =         (       y   local       Bx   local       )     ⁢     (       Bx   local       Bx   root       )     ⁢     (     Bx   root     )       +       (         y   ⁢   Offse   ⁢   t     local       Pitch   root       )     ⁢     (     Pitch   root     )               
where
         yOffset local /Pitch root  is obtained from the Radial Stacking Distribution from Table 3.
 
The absolute radius of any section can be found through
 
 R   absolute =(SpanFraction)( h )+ R   root  
 
where
       
     h is the airfoil span, and 
     R root  is the reference root section radius relative to the engine centerline. 
     The ring platform surface, or inner diameter flowpath, can also be converted from normalized to absolute coordinates using the following normalization equations 
     
       
         
           
             
               
                 x 
                 absolute 
               
               = 
               
                 
                   ( 
                   
                     
                       x 
                       local 
                     
                     
                       Bx 
                       root 
                     
                   
                   ) 
                 
                 ⁢ 
                 
                   ( 
                   
                     Bx 
                     root 
                   
                   ) 
                 
               
             
             , 
             
               
 
             
             ⁢ 
             
               
                 y 
                 absolute 
               
               = 
               
                 
                   ( 
                   
                     
                       y 
                       local 
                     
                     
                       Pitch 
                       root 
                     
                   
                   ) 
                 
                 ⁢ 
                 
                   ( 
                   
                     Pitch 
                     root 
                   
                   ) 
                 
               
             
             , 
             and 
           
         
       
       
         
           
             
               R 
               absolute 
             
             = 
             
               
                 
                   ( 
                   
                     Z 
                     / 
                     Span 
                   
                   ) 
                 
                 ⁢ 
                 
                   ( 
                   h 
                   ) 
                 
               
               + 
               
                 
                   R 
                   root 
                 
                 . 
               
             
           
         
       
     
     Once determined in absolute space relative to the root section leading edge, the entire airfoil can then be shifted to any other location in space. 
     The airfoil geometry includes tolerances due to manufacturing, surface finish and coating variability of about ±0.0500 in. In addition, the airfoil as described can be rotated about its radial axis ±20° depending on the particular turbine application. 
     Although the present invention has been described with reference to preferred embodiments, workers skilled in the art will recognize that changes may be made in form and detail without departing from the spirit and scope of the invention.