Patent Publication Number: US-6702548-B1

Title: Tubeaxial fan assembly

Description:
CROSS-REFERENCE TO RELATED APPLICATIONS 
     This application is related to contemporaneously filed applications Ser. No. 10/093,879, entitled “Propeller for Tubeaxial Fan” and Ser. No. 10/093,868, entitled “Drive Support and Cover Assembly for Tubeaxial Fan” which are hereby incorporated by reference herein. 
    
    
     BACKGROUND OF THE INVENTION 
     1. Field of the Invention 
     The present invention relates generally to fans for moving air. More specifically, the present invention concerns a high performance tubeaxial fan that provides increased efficiency and reduced noise levels relative to prior art tubeaxial fans. 
     2. Discussion of Prior Art 
     Fans are used in a variety of household and industrial applications to force air into and/or out of certain environments. For example, many industrial settings utilize ventilation systems that incorporate one or more fans to provide clean air and/or to exhaust polluted air from various work locations. The optimum fan for a particular application will have certain performance criteria required by the application (e.g., flow volume requirements, pressure differentials, etc.). 
     Tubeaxial fans are known in the art and are particularly suited for applications requiring the movement of large amounts of air with only relatively small pressure differentials (e.g., spray booths, cleaning tanks, mixing rooms, etc.). However, these prior art tubeaxial fans, while effective, have several non-optimizing limitations. For example, prior art tubeaxial fans have a relatively high noise level during operation. High noise levels are undesirable because many applications where tubeaxial fans are utilized involve settings where humans live or work. Furthermore, prior art tubeaxial fans have a relatively low efficiency. Low efficiency is undesirable because many applications where tubeaxial fans are utilized involve extended periods of continuous or repeated fan use. 
     SUMMARY OF THE INVENTION 
     The present invention provides an improved tubeaxial fan that does not suffer from the limitations of the prior art tubeaxial fans as set forth above. The inventive fan provides a high performance tubeaxial fan that combines both reduced noise levels and improved efficiency relative to the prior art tubeaxial fans. 
     The present invention concerns a tubeaxial fan assembly that broadly includes a tubular propeller housing, a propeller rotatably supported in the housing for rotation about a rotational axis, and a drive assembly operable to rotate the propeller. The propeller includes a central hub and a plurality of blades fixed relative to the hub to project radially therefrom. Each of the blades presents a root adjacent the hub and a tip spaced radially outward from the root. Each of the tips is spaced from the rotational axis a tip radius. Each of the blades presents a chord length that is smaller at the root and tip relative to a maximum chord length location spaced between the root and tip. Each of the blades presents a stagger angle that is relatively greater at the tip than at the root. Each of the blades presents a camber height that is smaller at the root and tip relative to a maximum camber height location spaced between the root. The drive assembly includes a shaft that is fixed relative to the hub and extends at least generally along the rotational axis, a bearing that rotatably supports the shaft, and a protective bearing cover that encases the bearing and at least a portion of the shaft. The drive assembly also includes an endless element that is drivingly connected to the shaft and extends outside the housing, and an element cover that is located within the housing and at least substantially encloses the element within the housing. The bearing cover presents a wall extending along, and generally parallel to, the at least a portion of the shaft in a covering relationship to the bearing and the at least a portion of the shaft. The wall is spaced from the element cover so that the at least a portion of the shaft is located between the element cover and the wall. The wall is spaced from the rotational axis a cover dimension that is less than about one-third the tip radius. The element cover presents opposite upstream and downstream ends spaced along the rotational axis and tapers toward the upstream and downstream ends. 
    
    
     Other aspects and advantages of the present invention will be apparent from the following detailed description of the preferred embodiments and the accompanying drawing figures. 
     BRIEF DESCRIPTION OF THE DRAWING FIGURES 
     Preferred embodiments of the invention are described in detail below with reference to the attached drawing figures, wherein: 
     FIG. 1 is a perspective front end view of a tubeaxial fan constructed in accordance with a preferred embodiment of the present invention; 
     FIG. 2 is a perspective rear end view of the tubeaxial fan; 
     FIG. 3 is a front elevational view of the tubeaxial fan; 
     FIG. 4 is a rear elevational view of the tubeaxial fan; 
     FIG. 5 is a sectional view of the tubeaxial fan taken substantially along line  5 — 5  of FIG. 3; 
     FIG. 6 is a sectional view of the tubeaxial fan taken substantially along line  6 — 6  of FIG.  5  and shown in combination with duct work (in phantom); 
     FIG. 7 is a schematic diagram of a cross-section of a blade of the tubeaxial fan illustrated in FIG. 1, illustrating various standard variables that define the airfoil of the blade; 
     FIG. 8 is a partial plan view of the blade with the portion of the blade that couples to the hub shown in fragmentary; 
     FIG. 9 a  is a sectional view the blade taken substantially along line  9   a — 9   a  of FIG. 8; 
     FIG. 9 b  is a sectional view the blade taken substantially along line  9   b — 9   b  of FIG. 8; 
     FIG. 9 c  is a sectional view the blade taken substantially along line  9   c — 9   c  of FIG. 8; 
     FIG. 9 d  is a sectional view the blade taken substantially along line  9   d — 9   d  of FIG. 8; 
     FIG. 9 e  is a sectional view the blade taken substantially along line  9   e — 9   e  of FIG.8; 
     FIG. 9 f  is a sectional view the blade taken substantially along line  9   f — 9   f  of FIG. 8; 
     FIG. 9 g  is a sectional view the blade taken substantially along line  9   g — 9   g  of FIG. 8; 
     FIG. 9 h  is a sectional view the blade taken substantially along line  9   h — 9   h  of FIG. 8; 
     FIG. 9 i  is a sectional view the blade taken substantially along line  9   i — 9   i  of FIG. 8; 
     FIG. 9 j  is an end view the blade taken substantially along line  9   j — 9   j  of FIG. 8; 
     FIG. 10 is a perspective rear end view of a tubeaxial fan constructed in accordance with a preferred alternative embodiment of the present invention and having a support plates; and 
     FIG. 11 is a plan view of the tubeaxial fan illustrated in FIG. 10 with portions of the drive assembly broken away and the propeller housing shown in fragmentary to illustrate the support plates. 
    
    
     DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS 
     FIG. 1 illustrates a tubeaxial fan  10  constructed in accordance with a preferred embodiment of the present invention and configured for moving large amounts of air at relatively low noise levels. The principles of the present invention are particularly well-suited for tubeaxial fan applications, however, these principles are equally applicable to various other propeller and/or propeller housing applications having performance criteria consistent with tubeaxial fans (e.g., flow properties, pressure differentials, output efficiencies, vibration and noise levels, etc.). The tubeaxial fan  10  broadly includes a propeller cylinder  12 , a propeller  14  rotatably supported in the cylinder  12 , and a drive assembly  16  operable to rotate the propeller  14 . 
     Turning initially to FIGS. 1 and 2, the illustrated propeller cylinder  12  is a cylindrically shaped tube presenting a cylindrical interior circumferential surface  18  that extends axially between opposite open ends  20  and  22 . The ends  20  and  22  are flanged to facilitate attachment of the fan  10  to a mounting surface, for example duct work D (see FIG.  6 ). The open ends  20  and  22  allow air drawn by the propeller  14  to pass through the cylinder  12 . It is believed that the preferred cylindrical shape facilitates optimum flow through the fan  10 . However, it is within the ambit of the present invention to rotatably support the propeller  14  in a tubular propeller housing that utilizes various shapes other than cylindrical. It is further believed that flow properties of the fan  10  are also impacted by the amount of flow-restrictive structure within the cylinder  12  (e.g., structure for supporting the propeller  14  and components of the drive assembly  16 ). In this regard, the illustrated cylinder  12  is devoid of support structure that contacts the interior circumferential surface  18  at two points that are generally diametrically opposite. That is to say, components of the drive assembly  16  also function to support the drive assembly  16  and the propeller  14  in the cylinder  12  without the need for additional structure that solely serves the function of support. Such additional support structure is undesirable as it obstructs the airflow through the cylinder  12 , particularly diametrically extending support structure. However, as discussed in detail below, it is within the ambit of the present invention to utilize such support structure, particularly in relatively larger diameter fans and particularly where the obstructive effects of the structure can be minimized. The cylinder  12  includes a removable access hatch  24  that provides access to the interior of the cylinder  12  to facilitate assembly and maintenance. 
     Turning to FIGS. 3-5, the propeller  14  is rotatably supported in the cylinder  12  for rotation about a center rotational axis A R  (see FIG.  5 ). The propeller  14  includes a central hub  26  and blades  28 ,  30 ,  32 ,  34 ,  36 , and  38  fixed to the hub  26  and projecting radially therefrom. The illustrated propeller  14  is a single cast component, for example one cast out of an aluminum allow. However, the hub and the blades could be separate parts that are assembled together in any manner known in the art. The blades  28 ,  30 ,  32 ,  34 ,  36 ,  38  are virtually identical in construction, accordingly only the blade  28  will be described in detail with the understanding that the blades  30 ,  32 ,  34 ,  36 ,  38  are similarly configured. The blade  28  presents a root  40  adjacent the hub  26  and a tip  42  spaced radially outward from the root  40 . The tip  42  is spaced from the rotational axis A R  a tip radius R T  (see FIG.  5 ). In the illustrated propeller  14 , all of the blades  28 ,  30 ,  32 ,  34 ,  36 ,  38  have a uniform tip radii that are substantially equivalent. In addition, each blade is diametrically opposite a corresponding blade (e.g., the blade  28  is diametrically opposite of the blade  34 ) so that the two tip radii comprise a propeller diameter φ (see FIG.  5 ). In the illustrated fan  10 , the tip radius R T  is nine inches and the propeller diameter φ is eighteen inches with machining tolerances no greater than ±0.03 inches. However, it is within the ambit of the present invention to utilize various propeller dimensions, for example propeller diameters greater or smaller than eighteen inches or offset blades wherein the propeller diameter is calculated as twice the longest tip radius. The propeller cylinder  12  and the blades  28 ,  30 ,  32 ,  34 ,  36 ,  38  are preferably configured so that the clearance between the interior circumferential surface  18  of the cylinder  12  and the blade tips is minimized as much as possible yet still provides sufficient rotational clearance. This tip clearance is preferably a maximum of one percent of the propeller diameter φ. For example, in the illustrated fan  10  having an eighteen inch propeller diameter φ, the tip clearance is preferably about 0.18 inches or less. 
     The hub  26  preferably presents a solid surface between the blade roots that generally obstructs the flow of air through the hub  26 . It is believed that this configuration enhances the flow properties of the fan  10 . Additionally, the hub  26  preferably defines a generally uniform hub radius R H  between the rotational axis A R  and each of the blade roots (see FIG.  5 ). The hub radius R H  is preferably about one-third the tip radius R T . In the illustrated fan  10 , the hub radius R H  is three inches with machining tolerances no greater than ±0.03 inches. The illustrated hub  26  is a walled cylinder having a closed end  26   a  downstream of the blades and being open on the opposite, upstream end. The closed end  26   a  cooperates with the hub wall and one or more components of the drive assembly  16  to comprise a solid surface that obstructs airflow through the hub  26 . The hub  26  additionally includes a plurality of hub supports  26   b  spaced along the inside of the hub wall. 
     As schematically diagramed in FIG. 7, the blade  28  is an airfoil presenting certain design variables including among others a chord length C, a stagger angle β e , a camber height δ c , and a blade thickness δ. As described in more detail below, the inventive design of the blade  28  provides for fan operation that is more efficient and less noisy than heretofore available. In addition to the previously indicated variables, the following variables, recognized in the industry, are some of many, that either influence, and/or are a product of, the blade design. The axial velocities, both average and exit velocities, measured in feet per minute, are components of air velocity exiting the blade at a specified radial position along the blade. The loading factor is a dimensionless percentage that defines the distribution of energy transfer at a specified radial position along the blade. The ratio of outlet and inlet relative velocity is a dimensionless ratio that compares components of air velocity entering and exiting the blade at a specified radial position along the blade. The inlet and outlet flow angles, measured in degrees, compare the relative velocity vector with the rotating velocity vector at inlet and outlet, respectively, at a specified radial position along the blade. 
     The table on the following page entitled: TABLE 1 Design Variables of Blade  28 , lists values of certain design variables at the given radial positions for the blade  28  of the illustrated fan  10 . The radial positions are measured, in inches, along the tip radius R T  from the rotational axis A R . The values listed in TABLE 1 are based on the illustrated propeller  14  (having the six blades  28 ,  30 ,  32 ,  34 ,  36 ,  38 , and the propeller diameter φ of eighteen inches) formed from aluminum alloy 356.1, rotating at 1800 rpm, having a flow rate of 4000 cfm at a static pressure of 0.5 in.wg. 
     
       
         
           
               
             
               
                 TABLE 1 
               
             
            
               
                   
               
               
                 Design Variables of Blade 28 
               
            
           
           
               
               
            
               
                   
                 Radial Positions (inch) 
               
            
           
           
               
               
               
               
               
               
               
               
               
               
               
            
               
                   
                 3 
                 3.6667 
                 4.3333 
                 5 
                 5.6667 
                 6.3333 
                 7 
                 7.6667 
                 8.3333 
                 9 
               
               
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
               
               
            
               
                 Average axial velocity 
                 2144.0639 
                 2298.717 
                 2423.2245 
                 2518.3248 
                 2587.803 
                 2632.9615 
                 2654.0658 
                 2650.4755 
                 2618.6865 
                 2556.8869 
               
               
                 (ft/min) 
               
               
                 Axial velocity at exit (ft/min) 
                 1716.5713 
                 1990.2609 
                 2231.4178 
                 2429.4882 
                 2580.751 
                 2682.9892 
                 2734.1882 
                 2731.6183 
                 2670.2484 
                 2542.2172 
               
               
                 LOADING factor 
                 0.5961 
                 0.7353 
                 0.8511 
                 0.9435 
                 1.0126 
                 1.0583 
                 1.0807 
                 1.0796 
                 1.0552 
                 1.0075 
               
               
                 RATIO of outlet and inlet 
                 0.5402 
                 0.6278 
                 0.6945 
                 0.7458 
                 0.786 
                 0.818 
                 0.8439 
                 0.8651 
                 0.8828 
                 0.8973 
               
               
                 relative velocity 
               
               
                 Inlet flow angle 
                 47.7061 
                 53.3386 
                 57.7966 
                 61.3725 
                 64.2834 
                 66.6875 
                 68.6999 
                 70.4051 
                 71.8661 
                 73.1303 
               
               
                 Outlet flow angle 
                 33.7464 
                 41.4786 
                 47.3517 
                 52.0553 
                 56.0171 
                 59.4997 
                 62.6695 
                 65.6409 
                 68.5075 
                 71.3533 
               
               
                 Stagger angle 
                 41.8868 
                 47.5383 
                 52.1081 
                 55.8797 
                 59.056 
                 61.8126 
                 64.2918 
                 66.6187 
                 68.9353 
                 71.3906 
               
               
                 Ratio of camber height to 
                 0.0645 
                 0.0697 
                 0.0759 
                 0.082 
                 0.0872 
                 0.0903 
                 0.0903 
                 0.0852 
                 0.0723 
                 0.0467 
               
               
                 chord length 
               
               
                 Camber height (inch) 
                 0.2212 
                 0.2471 
                 0.2754 
                 0.3024 
                 0.324 
                 0.3357 
                 0.3328 
                 0.3093 
                 0.2563 
                 0.1602 
               
               
                 Chord length (inch) 
                 3.4294 
                 3.5441 
                 3.6301 
                 3.6875 
                 3.7162 
                 3.7162 
                 3.6875 
                 3.6301 
                 3.5441 
                 3.4294 
               
               
                 Solidity 
                 1.0916 
                 0.923 
                 0.8 
                 0.7043 
                 0.6262 
                 0.5603 
                 0.503 
                 0.4522 
                 0.4061 
                 0.3639 
               
               
                 Blade thickness (inch) 
                 0.2953 
                 0.2841 
                 0.273 
                 0.2618 
                 0.2507 
                 0.2395 
                 0.2283 
                 0.2172 
                 0.206 
                 0.1949 
               
               
                   
               
            
           
         
       
     
     The chord length C is the distance, measured in inches, between a leading edge  28   a  of the airfoil and a trailing edge  28   b  of the airfoil. The leading and trailing nature of the edges  28   a ,  28   b  is relative to the direction of rotation of the propeller  14 . In the illustrated fan  10 , the propeller  14  rotates clockwise when viewed from the end  20  (as in FIG.  3 ). The chord length C varies between the root  40  and the tip  42  presenting a maximum chord length C max  at a location XC max  between the root  40  and the tip  42 . The chord length C preferably falls within a range between and including thirty-eight to forty-two percent of the tip radius R T . The chord length C progressively and gradually increases from the root  40  to the maximum chord length location XC max  and progressively and gradually increases from the tip  42  to the maximum chord length location XC max . The maximum chord length location XC max  is preferably between sixty-three percent and seventy-one percent of the tip radius R T  from the rotational axis A R . As shown in TABLE 1 above, the maximum chord length XC max  of the illustrated blade  28  is located at a radial position between 5.6667 and 6.3333 inches. 
     The stagger angle β e  is the pitch of the airfoil, measured in degrees, relative to the rotational axis A R . The stagger angle β e  varies between the root  40  and the tip  42  and is relatively greater at the tip  42  than at the root  40 . The stagger angle β e  is preferably at least forty degrees at the root  40  and less than seventy-two degrees at the tip  42 . The stagger angle progressively and gradually increases from the root  40  to the tip  42 . As shown in TABLE 1 above, the stagger angle β e  of the illustrated blade  28  is 41.8868 at the three inch radial position and 71.3906 at the nine inch radial position. 
     The camber height δ c  is the distance between a line connecting the leading and trailing edges and a camber line, measured in inches. The camber height values listed in TABLE 1 above correspond to the greatest camber height between the leading edge  28   a  and the trailing edge  28   b  at the given radial position. The camber height δ c  varies between the root  40  and the tip  42  presenting a maximum camber height δ cmax  at a location Xδ c  between the root  40  and the tip  42 . The camber height δ c  preferably falls within a range between and including 1.7 percent to 3.8 percent of the tip radius R T . The camber height δ c  progressively and gradually increases from the root  40  to the maximum camber height location Xδ c  and progressively and gradually increases from the tip  42  to the maximum camber height location Xδ c . The maximum camber height location Xδ c  is preferably between seventy percent and seventy-eight percent of the tip radius R T  from the rotational axis A R . As shown in TABLE 1 above, the maximum camber height location Xδ c  of the illustrated blade  28  is located at a radial position between 6.3333 and 7 inches. 
     The blade thickness δ, measured in inches, varies along the chord length C from the leading edge  28   a  to the trailing edge  28   b  and varies along the tip radius R T  from the root  40  to the tip  42 . The blade thickness values listed in TABLE 1 above correspond to the greatest blade thickness between the leading edge  28   a  and the trailing edge  28   b  at the given radial position. The blade thickness for the illustrated blade  28  constructed of the aluminum alloy preferably is less than about 0.3 inches at the root  40  and progressively decreases towards the tip  42  where the thickness is preferably less than about 0.2 inches. As shown in TABLE 1 above, the blade thickness δ of the illustrated blade  28  at the radial position 3 inches is 0.2953 inches and at the radial position 9 inches is 0.1949 inches. 
     The values listed in TABLE 1 above can be applied to a NACA 65 airfoil design to arrive at the shape of the blade  28  of the illustrated embodiment. In particular, and turning to FIGS. 8-9 j , the blade  28  includes an external surface having a shape defined by the relative positioning of a plurality of coordinates contained in cross-sections  44 ,  46 ,  48 ,  50 ,  52 ,  54 ,  56 ,  58 , and  60 . The cross-sections are arcuate sections with a section  62  being an arcuate end section. The plurality of coordinates are defined on a three-dimensional grid  64  having its origin on the rotational axis A R  and including X, Y, and Z axes. The X axis extends radially from the origin. The Y axis is coplanar with the X axis and extends from the origin orthogonally to the X axis. The Z axis corresponds with the rotational axis A R . The cross-sections  44 ,  46 ,  48 ,  50 ,  52 ,  54 ,  56 ,  58 ,  60  of the illustrated blade  28  have the corresponding plurality of coordinates listed in the following TABLE 2 wherein coordinates a 1 -a 96  correspond with cross-section  44  (see FIG. 9 a ), coordinates b 1 -b 96  correspond with cross-section  46  (see FIG. 9 b ), coordinates c 1 -c 96  correspond with cross-section  48  (see FIG. 9 c ), coordinates d 1 -d 96  correspond with cross-section  50  (see FIG. 9 d ), coordinates e 1 -e 96  correspond with cross-section  52  (see FIG. 9 e ), coordinates f 1 -f 96  correspond with cross-section  54  (see FIG. 9 f ), coordinates g 1 -g 96  correspond with cross-section  56  (see FIG. 9 g ), coordinates h 1 -h 96  correspond with cross-section  58  (see FIG. 9 h ), coordinates i 1 -i 96  correspond with cross-section  60  (see FIG. 9 i ), and coordinates j 1 -j 96  correspond with end section  62  (see FIG. 9 j ): 
     
       
         
           
               
             
               
                 TABLE 2 
               
             
            
               
                   
               
               
                 Cross-sectional Coordinates for Blade 28 
               
            
           
           
               
               
               
               
               
            
               
                   
                 Coordinate # 
                 X 
                 Y 
                 Z 
               
               
                   
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                 a1  
                 2.7720 
                 −1.1473 
                 −1.3127 
               
               
                   
                 a2  
                 2.7718 
                 −1.1477 
                 −1.3120 
               
               
                   
                 a3  
                 2.7717 
                 −1.1478 
                 −1.3117 
               
               
                   
                 a4  
                 2.7717 
                 −1.1480 
                 −1.3113 
               
               
                   
                 a5  
                 2.7716 
                 −1.1483 
                 −1.3107 
               
               
                   
                 a6  
                 2.7714 
                 −1.1485 
                 −1.3098 
               
               
                   
                 a7  
                 2.7713 
                 −1.1488 
                 −1.3084 
               
               
                   
                 a8  
                 2.7713 
                 −1.1489 
                 −1.3062 
               
               
                   
                 a9  
                 2.7714 
                 −1.1486 
                 −1.3027 
               
               
                   
                 a10 
                 2.7720 
                 −1.1471 
                 −1.2971 
               
               
                   
                 a11 
                 2.7741 
                 −1.1422 
                 −1.2889 
               
               
                   
                 a12 
                 2.7761 
                 −1.1371 
                 −1.2809 
               
               
                   
                 a13 
                 2.7806 
                 −1.1263 
                 −1.2661 
               
               
                   
                 a14 
                 2.7922 
                 −1.0970 
                 −1.2326 
               
               
                   
                 a15 
                 2.8158 
                 −1.0351 
                 −1.1708 
               
               
                   
                 a16 
                 2.8380 
                 −0.9725 
                 −1.1099 
               
               
                   
                 a17 
                 2.8588 
                 −0.9095 
                 −1.0498 
               
               
                   
                 a18 
                 2.8961 
                 −0.7828 
                 −0.9305 
               
               
                   
                 a19 
                 2.9274 
                 −0.6562 
                 −0.8111 
               
               
                   
                 a20 
                 2.9528 
                 −0.5302 
                 −0.6911 
               
               
                   
                 a21 
                 2.9725 
                 −0.4052 
                 −0.5700 
               
               
                   
                 a22 
                 2.9866 
                 −0.2831 
                 −0.4462 
               
               
                   
                 a23 
                 2.9958 
                 −0.1593 
                 −0.3239 
               
               
                   
                 a24 
                 2.9997 
                 −0.0402 
                 −0.1974 
               
               
                   
                 a25 
                 2.9989 
                 0.0807 
                 −0.0724 
               
               
                   
                 a26 
                 2.9935 
                 0.1971 
                 0.0568 
               
               
                   
                 a27 
                 2.9834 
                 0.3149 
                 0.1848 
               
               
                   
                 a28 
                 2.9694 
                 0.4276 
                 0.3177 
               
               
                   
                 a29 
                 2.9508 
                 0.5410 
                 0.4501 
               
               
                   
                 a30 
                 2.9287 
                 0.6503 
                 0.5863 
               
               
                   
                 a31 
                 2.9030 
                 0.7568 
                 0.7253 
               
               
                   
                 a32 
                 2.8741 
                 0.8599 
                 0.8673 
               
               
                   
                 a33 
                 2.8425 
                 0.9594 
                 1.0125 
               
               
                   
                 a34 
                 2.8083 
                 1.0551 
                 1.1611 
               
               
                   
                 a35 
                 2.7906 
                 1.1011 
                 1.2369 
               
               
                   
                 a36 
                 2.7815 
                 1.1240 
                 1.2749 
               
               
                   
                 a37 
                 2.7768 
                 1.1355 
                 1.2939 
               
               
                   
                 a38 
                 2.7745 
                 1.1412 
                 1.3034 
               
               
                   
                 a39 
                 2.7721 
                 1.1469 
                 1.3129 
               
               
                   
                 a40 
                 2.7718 
                 1.1478 
                 1.3143 
               
               
                   
                 a41 
                 2.7716 
                 1.1482 
                 1.3150 
               
               
                   
                 a42 
                 2.7715 
                 1.1484 
                 1.3153 
               
               
                   
                 a43 
                 2.7714 
                 1.1486 
                 1.3154 
               
               
                   
                 a44 
                 2.7714 
                 1.1486 
                 1.3155 
               
               
                   
                 a45 
                 2.7714 
                 1.1487 
                 1.3155 
               
               
                   
                 a46 
                 2.7714 
                 1.1487 
                 1.3156 
               
               
                   
                 a47 
                 2.7714 
                 1.1487 
                 1.3156 
               
               
                   
                 a48 
                 2.7713 
                 1.1488 
                 1.3156 
               
               
                   
                 a49 
                 2.7713 
                 1.1488 
                 1.3156 
               
               
                   
                 a50 
                 2.7713 
                 1.1488 
                 1.3155 
               
               
                   
                 a51 
                 2.7713 
                 1.1488 
                 1.3155 
               
               
                   
                 a52 
                 2.7713 
                 1.1488 
                 1.3155 
               
               
                   
                 a53 
                 2.7713 
                 1.1488 
                 1.3154 
               
               
                   
                 a54 
                 2.7713 
                 1.1488 
                 1.3153 
               
               
                   
                 a55 
                 2.7714 
                 1.1487 
                 1.3151 
               
               
                   
                 a56 
                 2.7714 
                 1.1486 
                 1.3147 
               
               
                   
                 a57 
                 2.7715 
                 1.1483 
                 1.3140 
               
               
                   
                 a58 
                 2.7718 
                 1.1477 
                 1.3125 
               
               
                   
                 a59 
                 2.7736 
                 1.1432 
                 1.3022 
               
               
                   
                 a60 
                 2.7755 
                 1.1388 
                 1.2920 
               
               
                   
                 a61 
                 2.7791 
                 1.1299 
                 1.2714 
               
               
                   
                 a62 
                 2.7863 
                 1.1121 
                 1.2304 
               
               
                   
                 a63 
                 2.8003 
                 1.0763 
                 1.1481 
               
               
                   
                 a64 
                 2.8281 
                 1.0009 
                 0.9861 
               
               
                   
                 a65 
                 2.8550 
                 0.9215 
                 0.8264 
               
               
                   
                 a66 
                 2.8806 
                 0.8380 
                 0.6691 
               
               
                   
                 a67 
                 2.9047 
                 0.7500 
                 0.5145 
               
               
                   
                 a68 
                 2.9272 
                 0.6571 
                 0.3627 
               
               
                   
                 a69 
                 2.9477 
                 0.5576 
                 0.2156 
               
               
                   
                 a70 
                 2.9651 
                 0.4561 
                 0.0690 
               
               
                   
                 a71 
                 2.9800 
                 0.3462 
                 −0.0712 
               
               
                   
                 a72 
                 2.9909 
                 0.2341 
                 −0.2101 
               
               
                   
                 a73 
                 2.9979 
                 0.1135 
                 −0.3420 
               
               
                   
                 a74 
                 3.0000 
                 −0.0090 
                 −0.4724 
               
               
                   
                 a75 
                 2.9968 
                 −0.1392 
                 −0.5957 
               
               
                   
                 a76 
                 2.9878 
                 −0.2703 
                 −0.7175 
               
               
                   
                 a77 
                 2.9723 
                 −0.4067 
                 −0.8335 
               
               
                   
                 a78 
                 2.9498 
                 −0.5465 
                 −0.9450 
               
               
                   
                 a79 
                 2.9197 
                 −0.6893 
                 −1.0514 
               
               
                   
                 a80 
                 2.8815 
                 −0.8350 
                 −1.1522 
               
               
                   
                 a81 
                 2.8590 
                 −0.9090 
                 −1.2001 
               
               
                   
                 a82 
                 2.8341 
                 −0.9839 
                 −1.2458 
               
               
                   
                 a83 
                 2.8066 
                 −1.0597 
                 −1.2891 
               
               
                   
                 a84 
                 2.7913 
                 −1.0993 
                 −1.3076 
               
               
                   
                 a85 
                 2.7846 
                 −1.1161 
                 −1.3135 
               
               
                   
                 a86 
                 2.7811 
                 −1.1249 
                 −1.3158 
               
               
                   
                 a87 
                 2.7775 
                 −1.1337 
                 −1.3180 
               
               
                   
                 a88 
                 2.7753 
                 −1.1391 
                 −1.3175 
               
               
                   
                 a89 
                 2.7740 
                 −1.1422 
                 −1.3166 
               
               
                   
                 a90 
                 2.7733 
                 −1.1441 
                 −1.3158 
               
               
                   
                 a91 
                 2.7728 
                 −1.1452 
                 −1.3150 
               
               
                   
                 a92 
                 2.7725 
                 −1.1459 
                 −1.3144 
               
               
                   
                 a93 
                 2.7723 
                 −1.1463 
                 −1.3139 
               
               
                   
                 a94 
                 2.7722 
                 −1.1466 
                 −1.3136 
               
               
                   
                 a95 
                 2.7721 
                 −1.1468 
                 −1.3133 
               
               
                   
                 a96 
                 2.7720 
                 −1.1473 
                 −1.3127 
               
               
                   
                 b1  
                 3.4431 
                 −1.3147 
                 −1.2302 
               
               
                   
                 b2  
                 3.4430 
                 −1.3151 
                 −1.2295 
               
               
                   
                 b3  
                 3.4429 
                 −1.3152 
                 −1.2291 
               
               
                   
                 b4  
                 3.4428 
                 −1.3153 
                 −1.2287 
               
               
                   
                 b5  
                 3.4428 
                 −1.3155 
                 −1.2280 
               
               
                   
                 b6  
                 3.4427 
                 −1.3157 
                 −1.2270 
               
               
                   
                 b7  
                 3.4426 
                 −1.3159 
                 −1.2256 
               
               
                   
                 b8  
                 3.4427 
                 −1.3158 
                 −1.2233 
               
               
                   
                 b9  
                 3.4429 
                 −1.3151 
                 −1.2198 
               
               
                   
                 b10 
                 3.4437 
                 −1.3130 
                 −1.2142 
               
               
                   
                 b11 
                 3.4460 
                 −1.3071 
                 −1.2063 
               
               
                   
                 b12 
                 3.4482 
                 −1.3011 
                 −1.1986 
               
               
                   
                 b13 
                 3.4530 
                 −1.2884 
                 −1.1846 
               
               
                   
                 b14 
                 3.4654 
                 −1.2548 
                 −1.1533 
               
               
                   
                 b15 
                 3.4900 
                 −1.1846 
                 −1.0965 
               
               
                   
                 b16 
                 3.5132 
                 −1.1138 
                 −1.0407 
               
               
                   
                 b17 
                 3.5350 
                 −1.0427 
                 −0.9856 
               
               
                   
                 b18 
                 3.5740 
                 −0.9000 
                 −0.8763 
               
               
                   
                 b19 
                 3.6069 
                 −0.7575 
                 −0.7669 
               
               
                   
                 b20 
                 3.6338 
                 −0.6156 
                 −0.6565 
               
               
                   
                 b21 
                 3.6549 
                 −0.4747 
                 −0.5448 
               
               
                   
                 b22 
                 3.6702 
                 −0.3366 
                 −0.4301 
               
               
                   
                 b23 
                 3.6803 
                 −0.1968 
                 −0.3169 
               
               
                   
                 b24 
                 3.6850 
                 −0.0614 
                 −0.1989 
               
               
                   
                 b25 
                 3.6848 
                 0.0757 
                 −0.0827 
               
               
                   
                 b26 
                 3.6797 
                 0.2085 
                 0.0384 
               
               
                   
                 b27 
                 3.6696 
                 0.3428 
                 0.1580 
               
               
                   
                 b28 
                 3.6552 
                 0.4723 
                 0.2831 
               
               
                   
                 b29 
                 3.6360 
                 0.6025 
                 0.4075 
               
               
                   
                 b30 
                 3.6127 
                 0.7290 
                 0.5363 
               
               
                   
                 b31 
                 3.5855 
                 0.8528 
                 0.6681 
               
               
                   
                 b32 
                 3.5547 
                 0.9735 
                 0.8032 
               
               
                   
                 b33 
                 3.5204 
                 1.0908 
                 0.9419 
               
               
                   
                 b34 
                 3.4832 
                 1.2044 
                 1.0843 
               
               
                   
                 b35 
                 3.4637 
                 1.2595 
                 1.1573 
               
               
                   
                 b36 
                 3.4536 
                 1.2870 
                 1.1939 
               
               
                   
                 b37 
                 3.4484 
                 1.3007 
                 1.2122 
               
               
                   
                 b38 
                 3.4458 
                 1.3075 
                 1.2213 
               
               
                   
                 b39 
                 3.4432 
                 1.3144 
                 1.2305 
               
               
                   
                 b40 
                 3.4428 
                 1.3154 
                 1.2318 
               
               
                   
                 b41 
                 3.4426 
                 1.3159 
                 1.2324 
               
               
                   
                 b42 
                 3.4425 
                 1.3162 
                 1.2327 
               
               
                   
                 b43 
                 3.4425 
                 1.3163 
                 1.2329 
               
               
                   
                 b44 
                 3.4424 
                 1.3164 
                 1.2329 
               
               
                   
                 b45 
                 3.4424 
                 1.3164 
                 1.2330 
               
               
                   
                 b46 
                 3.4424 
                 1.3165 
                 1.2330 
               
               
                   
                 b47 
                 3.4424 
                 1.3165 
                 1.2330 
               
               
                   
                 b48 
                 3.4424 
                 1.3165 
                 1.2330 
               
               
                   
                 b49 
                 3.4424 
                 1.3165 
                 1.2330 
               
               
                   
                 b50 
                 3.4424 
                 1.3165 
                 1.2330 
               
               
                   
                 b51 
                 3.4424 
                 1.3165 
                 1.2329 
               
               
                   
                 b52 
                 3.4424 
                 1.3165 
                 1.2329 
               
               
                   
                 b53 
                 3.4424 
                 1.3165 
                 1.2329 
               
               
                   
                 b54 
                 3.4424 
                 1.3165 
                 1.2327 
               
               
                   
                 b55 
                 3.4424 
                 1.3164 
                 1.2325 
               
               
                   
                 b56 
                 3.4425 
                 1.3163 
                 1.2322 
               
               
                   
                 b57 
                 3.4426 
                 1.3159 
                 1.2314 
               
               
                   
                 b58 
                 3.4429 
                 1.3151 
                 1.2299 
               
               
                   
                 b59 
                 3.4451 
                 1.3095 
                 1.2199 
               
               
                   
                 b60 
                 3.4472 
                 1.3039 
                 1.2098 
               
               
                   
                 b61 
                 3.4514 
                 1.2927 
                 1.1897 
               
               
                   
                 b62 
                 3.4597 
                 1.2703 
                 1.1494 
               
               
                   
                 b63 
                 3.4760 
                 1.2252 
                 1.0687 
               
               
                   
                 b64 
                 3.5076 
                 1.1313 
                 0.9103 
               
               
                   
                 b65 
                 3.5377 
                 1.0334 
                 0.7546 
               
               
                   
                 b66 
                 3.5659 
                 0.9314 
                 0.6017 
               
               
                   
                 b67 
                 3.5921 
                 0.8249 
                 0.4519 
               
               
                   
                 b68 
                 3.6158 
                 0.7137 
                 0.3056 
               
               
                   
                 b69 
                 3.6370 
                 0.5961 
                 0.1647 
               
               
                   
                 b70 
                 3.6546 
                 0.4765 
                 0.0244 
               
               
                   
                 b71 
                 3.6690 
                 0.3491 
                 −0.1085 
               
               
                   
                 b72 
                 3.6790 
                 0.2195 
                 −0.2400 
               
               
                   
                 b73 
                 3.6846 
                 0.0819 
                 −0.3633 
               
               
                   
                 b74 
                 3.6851 
                 −0.0574 
                 −0.4849 
               
               
                   
                 b75 
                 3.6799 
                 −0.2037 
                 −0.5984 
               
               
                   
                 b76 
                 3.6688 
                 −0.3509 
                 −0.7103 
               
               
                   
                 b77 
                 3.6511 
                 −0.5028 
                 −0.8157 
               
               
                   
                 b78 
                 3.6264 
                 −0.6578 
                 −0.9159 
               
               
                   
                 b79 
                 3.5942 
                 −0.8155 
                 −1.0105 
               
               
                   
                 b80 
                 3.5541 
                 −0.9757 
                 −1.0989 
               
               
                   
                 b81 
                 3.5308 
                 −1.0569 
                 −1.1402 
               
               
                   
                 b82 
                 3.5052 
                 −1.1388 
                 −1.1792 
               
               
                   
                 b83 
                 3.4772 
                 −1.2215 
                 −1.2155 
               
               
                   
                 b84 
                 3.4619 
                 −1.2644 
                 −1.2302 
               
               
                   
                 b85 
                 3.4553 
                 −1.2824 
                 −1.2344 
               
               
                   
                 b86 
                 3.4518 
                 −1.2917 
                 −1.2359 
               
               
                   
                 b87 
                 3.4482 
                 −1.3011 
                 −1.2371 
               
               
                   
                 b88 
                 3.4461 
                 −1.3067 
                 −1.2360 
               
               
                   
                 b89 
                 3.4449 
                 −1.3098 
                 −1.2348 
               
               
                   
                 b90 
                 3.4443 
                 −1.3117 
                 −1.2337 
               
               
                   
                 b91 
                 3.4438 
                 −1.3128 
                 −1.2328 
               
               
                   
                 b92 
                 3.4436 
                 −1.3134 
                 −1.2321 
               
               
                   
                 b93 
                 3.4434 
                 −1.3139 
                 −1.2316 
               
               
                   
                 b94 
                 3.4433 
                 −1.3141 
                 −1.2312 
               
               
                   
                 b95 
                 3.4432 
                 −1.3143 
                 −1.2309 
               
               
                   
                 b96 
                 3.4431 
                 −1.3147 
                 −1.2302 
               
               
                   
                 c1  
                 4.1253 
                 −1.4452 
                 −1.1463 
               
               
                   
                 c2  
                 4.1252 
                 −1.4455 
                 −1.1456 
               
               
                   
                 c3  
                 4.1251 
                 −1.4456 
                 −1.1452 
               
               
                   
                 c4  
                 4.1251 
                 −1.4458 
                 −1.1447 
               
               
                   
                 c5  
                 4.1250 
                 −1.4459 
                 −1.1440 
               
               
                   
                 c6  
                 4.1250 
                 −1.4460 
                 −1.1430 
               
               
                   
                 c7  
                 4.1250 
                 −1.4461 
                 −1.1415 
               
               
                   
                 c8  
                 4.1251 
                 −1.4458 
                 −1.1392 
               
               
                   
                 c9  
                 4.1254 
                 −1.4448 
                 −1.1357 
               
               
                   
                 c10 
                 4.1263 
                 −1.4423 
                 −1.1301 
               
               
                   
                 c11 
                 4.1287 
                 −1.4356 
                 −1.1226 
               
               
                   
                 c12 
                 4.1310 
                 −1.4288 
                 −1.1153 
               
               
                   
                 c13 
                 4.1359 
                 −1.4146 
                 −1.1021 
               
               
                   
                 c14 
                 4.1484 
                 −1.3775 
                 −1.0731 
               
               
                   
                 c15 
                 4.1731 
                 −1.3008 
                 −1.0211 
               
               
                   
                 c16 
                 4.1963 
                 −1.2236 
                 −0.9702 
               
               
                   
                 c17 
                 4.2181 
                 −1.1462 
                 −0.9200 
               
               
                   
                 c18 
                 4.2573 
                 −0.9911 
                 −0.8205 
               
               
                   
                 c19 
                 4.2904 
                 −0.8363 
                 −0.7207 
               
               
                   
                 c20 
                 4.3175 
                 −0.6822 
                 −0.6198 
               
               
                   
                 c21 
                 4.3390 
                 −0.5292 
                 −0.5174 
               
               
                   
                 c22 
                 4.3547 
                 −0.3787 
                 −0.4116 
               
               
                   
                 c23 
                 4.3652 
                 −0.2268 
                 −0.3075 
               
               
                   
                 c24 
                 4.3704 
                 −0.0789 
                 −0.1981 
               
               
                   
                 c25 
                 4.3705 
                 0.0705 
                 −0.0906 
               
               
                   
                 c26 
                 4.3658 
                 0.2160 
                 0.0221 
               
               
                   
                 c27 
                 4.3560 
                 0.3630 
                 0.1333 
               
               
                   
                 c28 
                 4.3418 
                 0.5055 
                 0.2504 
               
               
                   
                 c29 
                 4.3227 
                 0.6488 
                 0.3667 
               
               
                   
                 c30 
                 4.2994 
                 0.7887 
                 0.4877 
               
               
                   
                 c31 
                 4.2719 
                 0.9261 
                 0.6119 
               
               
                   
                 c32 
                 4.2404 
                 1.0608 
                 0.7396 
               
               
                   
                 c33 
                 4.2054 
                 1.1922 
                 0.8713 
               
               
                   
                 c34 
                 4.1670 
                 1.3203 
                 1.0070 
               
               
                   
                 c35 
                 4.1467 
                 1.3827 
                 1.0768 
               
               
                   
                 c36 
                 4.1361 
                 1.4138 
                 1.1117 
               
               
                   
                 c37 
                 4.1308 
                 1.4294 
                 1.1292 
               
               
                   
                 c38 
                 4.1281 
                 1.4371 
                 1.1379 
               
               
                   
                 c39 
                 4.1254 
                 1.4449 
                 1.1466 
               
               
                   
                 c40 
                 4.1250 
                 1.4460 
                 1.1479 
               
               
                   
                 c41 
                 4.1248 
                 1.4466 
                 1.1485 
               
               
                   
                 c42 
                 4.1247 
                 1.4469 
                 1.1488 
               
               
                   
                 c43 
                 4.1246 
                 1.4471 
                 1.1489 
               
               
                   
                 c44 
                 4.1246 
                 1.4472 
                 1.1490 
               
               
                   
                 c45 
                 4.1246 
                 1.4472 
                 1.1490 
               
               
                   
                 c46 
                 4.1246 
                 1.4473 
                 1.1490 
               
               
                   
                 c47 
                 4.1246 
                 1.4473 
                 1.1490 
               
               
                   
                 c48 
                 4.1245 
                 1.4473 
                 1.1490 
               
               
                   
                 c49 
                 4.1245 
                 1.4473 
                 1.1490 
               
               
                   
                 c50 
                 4.1245 
                 1.4473 
                 1.1490 
               
               
                   
                 c51 
                 4.1245 
                 1.4473 
                 1.1490 
               
               
                   
                 c52 
                 4.1245 
                 1.4473 
                 1.1489 
               
               
                   
                 c53 
                 4.1245 
                 1.4473 
                 1.1489 
               
               
                   
                 c54 
                 4.1246 
                 1.4473 
                 1.1488 
               
               
                   
                 c55 
                 4.1246 
                 1.4472 
                 1.1486 
               
               
                   
                 c56 
                 4.1247 
                 1.4470 
                 1.1482 
               
               
                   
                 c57 
                 4.1248 
                 1.4465 
                 1.1475 
               
               
                   
                 c58 
                 4.1251 
                 1.4456 
                 1.1460 
               
               
                   
                 c59 
                 4.1274 
                 1.4391 
                 1.1363 
               
               
                   
                 c60 
                 4.1297 
                 1.4325 
                 1.1265 
               
               
                   
                 c61 
                 4.1342 
                 1.4194 
                 1.1069 
               
               
                   
                 c62 
                 4.1431 
                 1.3932 
                 1.0677 
               
               
                   
                 c63 
                 4.1605 
                 1.3404 
                 0.9893 
               
               
                   
                 c64 
                 4.1941 
                 1.2314 
                 0.8356 
               
               
                   
                 c65 
                 4.2256 
                 1.1184 
                 0.6849 
               
               
                   
                 c66 
                 4.2548 
                 1.0015 
                 0.5375 
               
               
                   
                 c67 
                 4.2816 
                 0.8802 
                 0.3935 
               
               
                   
                 c68 
                 4.3055 
                 0.7544 
                 0.2534 
               
               
                   
                 c69 
                 4.3265 
                 0.6226 
                 0.1193 
               
               
                   
                 c70 
                 4.3437 
                 0.4889 
                 −0.0141 
               
               
                   
                 c71 
                 4.3573 
                 0.3477 
                 −0.1393 
               
               
                   
                 c72 
                 4.3663 
                 0.2045 
                 −0.2629 
               
               
                   
                 c73 
                 4.3708 
                 0.0540 
                 −0.3776 
               
               
                   
                 c74 
                 4.3700 
                 −0.0981 
                 −0.4904 
               
               
                   
                 c75 
                 4.3636 
                 −0.2568 
                 −0.5944 
               
               
                   
                 c76 
                 4.3513 
                 −0.4161 
                 −0.6966 
               
               
                   
                 c77 
                 4.3325 
                 −0.5799 
                 −0.7917 
               
               
                   
                 c78 
                 4.3069 
                 −0.7463 
                 −0.8812 
               
               
                   
                 c79 
                 4.2742 
                 −0.9152 
                 −0.9647 
               
               
                   
                 c80 
                 4.2339 
                 −1.0864 
                 −1.0414 
               
               
                   
                 c81 
                 4.2108 
                 −1.1729 
                 −1.0767 
               
               
                   
                 c82 
                 4.1855 
                 −1.2601 
                 −1.1095 
               
               
                   
                 c83 
                 4.1580 
                 −1.3481 
                 −1.1394 
               
               
                   
                 c84 
                 4.1431 
                 −1.3934 
                 −1.1507 
               
               
                   
                 c85 
                 4.1367 
                 −1.4123 
                 −1.1535 
               
               
                   
                 c86 
                 4.1334 
                 −1.4220 
                 −1.1541 
               
               
                   
                 c87 
                 4.1300 
                 −1.4318 
                 −1.1546 
               
               
                   
                 c88 
                 4.1280 
                 −1.4374 
                 −1.1530 
               
               
                   
                 c89 
                 4.1269 
                 −1.4406 
                 −1.1515 
               
               
                   
                 c90 
                 4.1263 
                 −1.4424 
                 −1.1502 
               
               
                   
                 c91 
                 4.1259 
                 −1.4434 
                 −1.1492 
               
               
                   
                 c92 
                 4.1257 
                 −1.4441 
                 −1.1484 
               
               
                   
                 c93 
                 4.1255 
                 −1.4445 
                 −1.1478 
               
               
                   
                 c94 
                 4.1255 
                 −1.4447 
                 −1.1474 
               
               
                   
                 c95 
                 4.1254 
                 −1.4449 
                 −1.1471 
               
               
                   
                 c96 
                 4.1253 
                 −1.4452 
                 −1.1463 
               
               
                   
                 d1  
                 4.8150 
                 −1.5445 
                 −1.0635 
               
               
                   
                 d2  
                 4.8149 
                 −1.5448 
                 −1.0627 
               
               
                   
                 d3  
                 4.8149 
                 −1.5449 
                 −1.0624 
               
               
                   
                 d4  
                 4.8149 
                 −1.5450 
                 −1.0619 
               
               
                   
                 d5  
                 4.8148 
                 −1.5451 
                 −1.0612 
               
               
                   
                 d6  
                 4.8148 
                 −1.5451 
                 −1.0601 
               
               
                   
                 d7  
                 4.8148 
                 −1.5451 
                 −1.0586 
               
               
                   
                 d8  
                 4.8150 
                 −1.5447 
                 −1.0563 
               
               
                   
                 d9  
                 4.8154 
                 −1.5434 
                 −1.0527 
               
               
                   
                 d10 
                 4.8163 
                 −1.5405 
                 −1.0473 
               
               
                   
                 d11 
                 4.8187 
                 −1.5331 
                 −1.0402 
               
               
                   
                 d12 
                 4.8210 
                 −1.5257 
                 −1.0332 
               
               
                   
                 d13 
                 4.8258 
                 −1.5104 
                 −1.0208 
               
               
                   
                 d14 
                 4.8381 
                 −1.4706 
                 −0.9940 
               
               
                   
                 d15 
                 4.8622 
                 −1.3889 
                 −0.9468 
               
               
                   
                 d16 
                 4.8849 
                 −1.3069 
                 −0.9006 
               
               
                   
                 d17 
                 4.9061 
                 −1.2248 
                 −0.8551 
               
               
                   
                 d18 
                 4.9442 
                 −1.0603 
                 −0.7649 
               
               
                   
                 d19 
                 4.9766 
                 −0.8963 
                 −0.6743 
               
               
                   
                 d20 
                 5.0032 
                 −0.7332 
                 −0.5825 
               
               
                   
                 d21 
                 5.0243 
                 −0.5711 
                 −0.4890 
               
               
                   
                 d22 
                 5.0399 
                 −0.4114 
                 −0.3919 
               
               
                   
                 d23 
                 5.0505 
                 −0.2504 
                 −0.2965 
               
               
                   
                 d24 
                 5.0558 
                 0.0933 
                 −0.1955 
               
               
                   
                 d25 
                 5.0562 
                 0.0654 
                 −0.0965 
               
               
                   
                 d26 
                 5.0519 
                 0.2205 
                 0.0080 
               
               
                   
                 d27 
                 5.0426 
                 0.3769 
                 0.1108 
               
               
                   
                 d28 
                 5.0289 
                 0.5293 
                 0.2199 
               
               
                   
                 d29 
                 5.0104 
                 0.6825 
                 0.3282 
               
               
                   
                 d30 
                 4.9877 
                 0.8326 
                 0.4413 
               
               
                   
                 d31 
                 4.9607 
                 0.9805 
                 0.5579 
               
               
                   
                 d32 
                 4.9297 
                 1.1260 
                 0.6781 
               
               
                   
                 d33 
                 4.8950 
                 1.2685 
                 0.8025 
               
               
                   
                 d34 
                 4.8567 
                 1.4079 
                 0.9311 
               
               
                   
                 d35 
                 4.8364 
                 1.4761 
                 0.9974 
               
               
                   
                 d36 
                 4.8259 
                 1.5102 
                 1.0306 
               
               
                   
                 d37 
                 4.8205 
                 1.5272 
                 1.0472 
               
               
                   
                 d38 
                 4.8178 
                 1.5357 
                 1.0555 
               
               
                   
                 d39 
                 4.8151 
                 1.5442 
                 1.0639 
               
               
                   
                 d40 
                 4.8147 
                 1.5454 
                 1.0650 
               
               
                   
                 d41 
                 4.8145 
                 1.5461 
                 1.0656 
               
               
                   
                 d42 
                 4.8144 
                 1.5464 
                 1.0659 
               
               
                   
                 d43 
                 4.8143 
                 1.5466 
                 1.0660 
               
               
                   
                 d44 
                 4.8143 
                 1.5467 
                 1.0661 
               
               
                   
                 d45 
                 4.8143 
                 1.5467 
                 1.0661 
               
               
                   
                 d46 
                 4.8143 
                 1.5468 
                 1.0661 
               
               
                   
                 d47 
                 4.8143 
                 1.5468 
                 1.0661 
               
               
                   
                 d48 
                 4.8143 
                 1.5468 
                 1.0661 
               
               
                   
                 d49 
                 4.8143 
                 1.5468 
                 1.0661 
               
               
                   
                 d50 
                 4.8143 
                 1.5468 
                 1.0661 
               
               
                   
                 d51 
                 4.8143 
                 1.5468 
                 1.0660 
               
               
                   
                 d52 
                 4.8143 
                 1.5468 
                 1.0660 
               
               
                   
                 d53 
                 4.8143 
                 1.5468 
                 1.0660 
               
               
                   
                 d54 
                 4.8143 
                 1.5468 
                 1.0659 
               
               
                   
                 d55 
                 4.8143 
                 1.5467 
                 1.0657 
               
               
                   
                 d56 
                 4.8144 
                 1.5464 
                 1.0653 
               
               
                   
                 d57 
                 4.8146 
                 1.5459 
                 1.0646 
               
               
                   
                 d58 
                 4.8149 
                 1.5449 
                 1.0632 
               
               
                   
                 d59 
                 4.8172 
                 1.5376 
                 1.0537 
               
               
                   
                 d60 
                 4.8196 
                 1.5303 
                 1.0443 
               
               
                   
                 d61 
                 4.8242 
                 1.5156 
                 1.0254 
               
               
                   
                 d62 
                 4.8333 
                 1.4863 
                 0.9875 
               
               
                   
                 d63 
                 4.8510 
                 1.4274 
                 0.9117 
               
               
                   
                 d64 
                 4.8851 
                 1.3061 
                 0.7635 
               
               
                   
                 d65 
                 4.9168 
                 1.1812 
                 0.6187 
               
               
                   
                 d66 
                 4.9459 
                 1.0524 
                 0.4773 
               
               
                   
                 d67 
                 4.9724 
                 0.9195 
                 0.3397 
               
               
                   
                 d68 
                 4.9958 
                 0.7823 
                 0.2062 
               
               
                   
                 d69 
                 5.0161 
                 0.6395 
                 0.0791 
               
               
                   
                 d70 
                 5.0324 
                 0.4948 
                 −0.0471 
               
               
                   
                 d71 
                 5.0450 
                 0.3433 
                 −0.1645 
               
               
                   
                 d72 
                 5.0531 
                 0.1898 
                 −0.2802 
               
               
                   
                 d73 
                 5.0566 
                 0.0295 
                 −0.3864 
               
               
                   
                 d74 
                 5.0549 
                 −0.1322 
                 −0.4905 
               
               
                   
                 d75 
                 5.0478 
                 −0.3000 
                 −0.5853 
               
               
                   
                 d76 
                 5.0349 
                 −0.4683 
                 −0.6782 
               
               
                   
                 d77 
                 5.0159 
                 −0.6407 
                 −0.7636 
               
               
                   
                 d78 
                 4.9905 
                 −0.8155 
                 −0.8430 
               
               
                   
                 d79 
                 4.9583 
                 −0.9925 
                 −0.9162 
               
               
                   
                 d80 
                 4.9190 
                 −1.1717 
                 −0.9822 
               
               
                   
                 d81 
                 4.8966 
                 −1.2621 
                 −1.0120 
               
               
                   
                 d82 
                 4.8723 
                 −1.3531 
                 −1.0391 
               
               
                   
                 d83 
                 4.8459 
                 −1.4448 
                 −1.0634 
               
               
                   
                 d84 
                 4.8316 
                 −1.4918 
                 −1.0717 
               
               
                   
                 d85 
                 4.8256 
                 −1.5113 
                 −1.0731 
               
               
                   
                 d86 
                 4.8224 
                 −1.5212 
                 −1.0731 
               
               
                   
                 d87 
                 4.8192 
                 −1.5313 
                 −1.0729 
               
               
                   
                 d88 
                 4.8174 
                 −1.5369 
                 −1.0708 
               
               
                   
                 d89 
                 4.8164 
                 −1.5401 
                 −1.0691 
               
               
                   
                 d90 
                 4.8159 
                 −1.5418 
                 −1.0676 
               
               
                   
                 d91 
                 4.8155 
                 −1.5428 
                 −1.0665 
               
               
                   
                 d92 
                 4.8154 
                 −1.5435 
                 −1.0657 
               
               
                   
                 d93 
                 4.8152 
                 −1.5438 
                 −1.0651 
               
               
                   
                 d94 
                 4.8152 
                 −1.5441 
                 −1.0646 
               
               
                   
                 d95 
                 4.8151 
                 −1.5442 
                 −1.0643 
               
               
                   
                 d96 
                 4.8150 
                 −1.5445 
                 −1.0635 
               
               
                   
                 e1  
                 5.5100 
                 −1.6166 
                 −0.9825 
               
               
                   
                 e2  
                 5.5099 
                 −1.6168 
                 −0.9817 
               
               
                   
                 e3  
                 5.5099 
                 −1.6169 
                 −0.9813 
               
               
                   
                 e4  
                 5.5099 
                 −1.6170 
                 −0.9808 
               
               
                   
                 e5  
                 5.5098 
                 −1.6171 
                 −0.9801 
               
               
                   
                 e6  
                 5.5098 
                 −1.6171 
                 −0.9790 
               
               
                   
                 e7  
                 5.5099 
                 −1.6169 
                 −0.9775 
               
               
                   
                 e8  
                 5.5100 
                 −1.6164 
                 −0.9752 
               
               
                   
                 e9  
                 5.5104 
                 −1.6150 
                 −0.9717 
               
               
                   
                 e10 
                 5.5114 
                 −1.6116 
                 −0.9664 
               
               
                   
                 e11 
                 5.5137 
                 −1.6038 
                 −0.9597 
               
               
                   
                 e12 
                 5.5160 
                 −1.5959 
                 −0.9531 
               
               
                   
                 e13 
                 5.5206 
                 −1.5797 
                 −0.9415 
               
               
                   
                 e14 
                 5.5324 
                 −1.5380 
                 −0.9169 
               
               
                   
                 e15 
                 5.5554 
                 −1.4527 
                 −0.8741 
               
               
                   
                 e16 
                 5.5771 
                 −1.3672 
                 −0.8324 
               
               
                   
                 e17 
                 5.5974 
                 −1.2816 
                 −0.7913 
               
               
                   
                 e18 
                 5.6338 
                 −1.1106 
                 −0.7100 
               
               
                   
                 e19 
                 5.6647 
                 −0.9401 
                 −0.6282 
               
               
                   
                 e20 
                 5.6903 
                 −0.7706 
                 −0.5450 
               
               
                   
                 e21 
                 5.7106 
                 −0.6021 
                 −0.4601 
               
               
                   
                 e22 
                 5.7257 
                 −0.4359 
                 −0.3713 
               
               
                   
                 e23 
                 5.7359 
                 −0.2686 
                 −0.2844 
               
               
                   
                 e24 
                 5.7413 
                 −0.1048 
                 −0.1915 
               
               
                   
                 e25 
                 5.7419 
                 0.0604 
                 −0.1008 
               
               
                   
                 e26 
                 5.7379 
                 0.2223 
                 −0.0043 
               
               
                   
                 e27 
                 5.7293 
                 0.3855 
                 0.0904 
               
               
                   
                 e28 
                 5.7163 
                 0.5450 
                 0.1917 
               
               
                   
                 e29 
                 5.6987 
                 0.7054 
                 0.2920 
               
               
                   
                 e30 
                 5.6770 
                 0.8630 
                 0.3974 
               
               
                   
                 e31 
                 5.6511 
                 1.0186 
                 0.5062 
               
               
                   
                 e32 
                 5.6213 
                 1.1721 
                 0.6189 
               
               
                   
                 e33 
                 5.5877 
                 1.3230 
                 0.7359 
               
               
                   
                 e34 
                 5.5506 
                 1.4711 
                 0.8572 
               
               
                   
                 e35 
                 5.5308 
                 1.5438 
                 0.9200 
               
               
                   
                 e36 
                 5.5206 
                 1.5801 
                 0.9514 
               
               
                   
                 e37 
                 5.5153 
                 1.5982 
                 0.9671 
               
               
                   
                 e38 
                 5.5127 
                 1.6072 
                 0.9750 
               
               
                   
                 e39 
                 5.5101 
                 1.6163 
                 0.9829 
               
               
                   
                 e40 
                 5.5097 
                 1.6176 
                 0.9840 
               
               
                   
                 e41 
                 5.5095 
                 1.6183 
                 0.9845 
               
               
                   
                 e42 
                 5.5094 
                 1.6187 
                 0.9848 
               
               
                   
                 e43 
                 5.5093 
                 1.6189 
                 0.9849 
               
               
                   
                 e44 
                 5.5093 
                 1.6190 
                 0.9849 
               
               
                   
                 e45 
                 5.5093 
                 1.6190 
                 0.9850 
               
               
                   
                 e46 
                 5.5092 
                 1.6190 
                 0.9850 
               
               
                   
                 e47 
                 5.5092 
                 1.6191 
                 0.9850 
               
               
                   
                 e48 
                 5.5092 
                 1.6191 
                 0.9850 
               
               
                   
                 e49 
                 5.5092 
                 1.6191 
                 0.9850 
               
               
                   
                 e50 
                 5.5092 
                 1.6191 
                 0.9849 
               
               
                   
                 e51 
                 5.5092 
                 1.6191 
                 0.9849 
               
               
                   
                 e52 
                 5.5092 
                 1.6191 
                 0.9849 
               
               
                   
                 e53 
                 5.5092 
                 1.6191 
                 0.9848 
               
               
                   
                 e54 
                 5.5093 
                 1.6190 
                 0.9847 
               
               
                   
                 e55 
                 5.5093 
                 1.6189 
                 0.9845 
               
               
                   
                 e56 
                 5.5094 
                 1.6186 
                 0.9842 
               
               
                   
                 e57 
                 5.5095 
                 1.6181 
                 0.9835 
               
               
                   
                 e58 
                 5.5099 
                 1.6170 
                 0.9822 
               
               
                   
                 e59 
                 5.5122 
                 1.6091 
                 0.9731 
               
               
                   
                 e60 
                 5.5145 
                 1.6011 
                 0.9640 
               
               
                   
                 e61 
                 5.5191 
                 1.5853 
                 0.9458 
               
               
                   
                 e62 
                 5.5281 
                 1.5535 
                 0.9094 
               
               
                   
                 e63 
                 5.5456 
                 1.4897 
                 0.8366 
               
               
                   
                 e64 
                 5.5791 
                 1.3590 
                 0.6945 
               
               
                   
                 e65 
                 5.6101 
                 1.2247 
                 0.5560 
               
               
                   
                 e66 
                 5.6384 
                 1.0868 
                 0.4211 
               
               
                   
                 e67 
                 5.6639 
                 0.9451 
                 0.2902 
               
               
                   
                 e68 
                 5.6863 
                 0.7993 
                 0.1636 
               
               
                   
                 e69 
                 5.7055 
                 0.6483 
                 0.0438 
               
               
                   
                 e70 
                 5.7208 
                 0.4955 
                 −0.0750 
               
               
                   
                 e71 
                 5.7324 
                 0.3363 
                 −0.1847 
               
               
                   
                 e72 
                 5.7395 
                 0.1754 
                 −0.2925 
               
               
                   
                 e73 
                 5.7422 
                 0.0081 
                 −0.3904 
               
               
                   
                 e74 
                 5.7400 
                 −0.1605 
                 −0.4862 
               
               
                   
                 e75 
                 5.7325 
                 −0.3345 
                 −0.5722 
               
               
                   
                 e76 
                 5.7196 
                 −0.5091 
                 −0.6563 
               
               
                   
                 e77 
                 5.7009 
                 −0.6874 
                 −0.7325 
               
               
                   
                 e78 
                 5.6763 
                 −0.8679 
                 −0.8026 
               
               
                   
                 e79 
                 5.6453 
                 −1.0505 
                 −0.8661 
               
               
                   
                 e80 
                 5.6079 
                 −1.2349 
                 −0.9223 
               
               
                   
                 e81 
                 5.5866 
                 −1.3279 
                 −0.9470 
               
               
                   
                 e82 
                 5.5635 
                 −1.4214 
                 −0.9691 
               
               
                   
                 e83 
                 5.5386 
                 −1.5155 
                 −0.9882 
               
               
                   
                 e84 
                 5.5252 
                 −1.5636 
                 −0.9938 
               
               
                   
                 e85 
                 5.5196 
                 −1.5834 
                 −0.9941 
               
               
                   
                 e86 
                 5.5167 
                 −1.5935 
                 −0.9935 
               
               
                   
                 e87 
                 5.5137 
                 −1.6037 
                 −0.9927 
               
               
                   
                 e88 
                 5.5121 
                 −1.6093 
                 −0.9903 
               
               
                   
                 e89 
                 5.5112 
                 −1.6124 
                 −0.9883 
               
               
                   
                 e90 
                 5.5107 
                 −1.6141 
                 −0.9868 
               
               
                   
                 e91 
                 5.5104 
                 −1.6151 
                 −0.9856 
               
               
                   
                 e92 
                 5.5102 
                 −1.6157 
                 −0.9847 
               
               
                   
                 e93 
                 5.5101 
                 −1.6160 
                 −0.9841 
               
               
                   
                 e94 
                 5.5101 
                 −1.6162 
                 −0.9836 
               
               
                   
                 e95 
                 5.5100 
                 −1.6164 
                 −0.9833 
               
               
                   
                 e96 
                 5.5100 
                 −1.6166 
                 −0.9825 
               
               
                   
                 f1  
                 6.2084 
                 −1.6649 
                 −0.9026 
               
               
                   
                 f2  
                 6.2084 
                 −1.6651 
                 −0.9017 
               
               
                   
                 f3  
                 6.2083 
                 −1.6652 
                 −0.9014 
               
               
                   
                 f4  
                 6.2083 
                 −1.6652 
                 −0.9008 
               
               
                   
                 f5  
                 6.2083 
                 −1.6653 
                 −0.9001 
               
               
                   
                 f6  
                 6.2083 
                 −1.6652 
                 −0.8991 
               
               
                   
                 f7  
                 6.2084 
                 −1.6650 
                 −0.8975 
               
               
                   
                 f8  
                 6.2086 
                 −1.6643 
                 −0.8953 
               
               
                   
                 f9  
                 6.2090 
                 −1.6628 
                 −0.8919 
               
               
                   
                 f10 
                 6.2100 
                 −1.6592 
                 −0.8867 
               
               
                   
                 f11 
                 6.2121 
                 −1.6510 
                 −0.8804 
               
               
                   
                 f12 
                 6.2143 
                 −1.6428 
                 −0.8742 
               
               
                   
                 f13 
                 6.2187 
                 −1.6259 
                 −0.8635 
               
               
                   
                 f14 
                 6.2298 
                 −1.5828 
                 −0.8410 
               
               
                   
                 f15 
                 6.2515 
                 −1.4952 
                 −0.8025 
               
               
                   
                 f16 
                 6.2718 
                 −1.4074 
                 −0.7650 
               
               
                   
                 f17 
                 6.2909 
                 −1.3196 
                 −0.7283 
               
               
                   
                 f18 
                 6.3251 
                 −1.1443 
                 −0.6554 
               
               
                   
                 f19 
                 6.3542 
                 −0.9698 
                 −0.5820 
               
               
                   
                 f20 
                 6.3783 
                 −0.7962 
                 −0.5072 
               
               
                   
                 f21 
                 6.3975 
                 −0.6236 
                 −0.4306 
               
               
                   
                 f22 
                 6.4118 
                 −0.4533 
                 −0.3499 
               
               
                   
                 f23 
                 6.4216 
                 −0.2819 
                 −0.2711 
               
               
                   
                 f24 
                 6.4268 
                 −0.1138 
                 −0.1863 
               
               
                   
                 f25 
                 6.4275 
                 0.0555 
                 −0.1036 
               
               
                   
                 f26 
                 6.4239 
                 0.2219 
                 −0.0150 
               
               
                   
                 f27 
                 6.4160 
                 0.3894 
                 0.0718 
               
               
                   
                 f28 
                 6.4039 
                 0.5538 
                 0.1652 
               
               
                   
                 f29 
                 6.3874 
                 0.7189 
                 0.2576 
               
               
                   
                 f30 
                 6.3670 
                 0.8816 
                 0.3552 
               
               
                   
                 f31 
                 6.3427 
                 1.0426 
                 0.4564 
               
               
                   
                 f32 
                 6.3144 
                 1.2017 
                 0.5615 
               
               
                   
                 f33 
                 6.2826 
                 1.3585 
                 0.6709 
               
               
                   
                 f34 
                 6.2472 
                 1.5128 
                 0.7847 
               
               
                   
                 f35 
                 6.2283 
                 1.5888 
                 0.8437 
               
               
                   
                 f36 
                 6.2185 
                 1.6267 
                 0.8733 
               
               
                   
                 f37 
                 6.2135 
                 1.6457 
                 0.8881 
               
               
                   
                 f38 
                 6.2110 
                 1.6552 
                 0.8955 
               
               
                   
                 f39 
                 6.2085 
                 1.6646 
                 0.9029 
               
               
                   
                 f40 
                 6.2081 
                 1.6660 
                 0.9040 
               
               
                   
                 f41 
                 6.2079 
                 1.6667 
                 0.9045 
               
               
                   
                 f42 
                 6.2078 
                 1.6671 
                 0.9047 
               
               
                   
                 f43 
                 6.2078 
                 1.6673 
                 0.9048 
               
               
                   
                 f44 
                 6.2077 
                 1.6674 
                 0.9049 
               
               
                   
                 f45 
                 6.2077 
                 1.6674 
                 0.9049 
               
               
                   
                 f46 
                 6.2077 
                 1.6675 
                 0.9049 
               
               
                   
                 f47 
                 6.2077 
                 1.6675 
                 0.9049 
               
               
                   
                 f48 
                 6.2077 
                 1.6675 
                 0.9049 
               
               
                   
                 f49 
                 6.2077 
                 1.6675 
                 0.9049 
               
               
                   
                 f50 
                 6.2077 
                 1.6675 
                 0.9049 
               
               
                   
                 f51 
                 6.2077 
                 1.6675 
                 0.9048 
               
               
                   
                 f52 
                 6.2077 
                 1.6675 
                 0.9048 
               
               
                   
                 f53 
                 6.2077 
                 1.6675 
                 0.9047 
               
               
                   
                 f54 
                 6.2077 
                 1.6674 
                 0.9046 
               
               
                   
                 f55 
                 6.2078 
                 1.6673 
                 0.9045 
               
               
                   
                 f56 
                 6.2078 
                 1.6670 
                 0.9041 
               
               
                   
                 f57 
                 6.2080 
                 1.6665 
                 0.9035 
               
               
                   
                 f58 
                 6.2083 
                 1.6653 
                 0.9022 
               
               
                   
                 f59 
                 6.2106 
                 1.6569 
                 0.8935 
               
               
                   
                 f60 
                 6.2128 
                 1.6485 
                 0.8848 
               
               
                   
                 f61 
                 6.2172 
                 1.6317 
                 0.8675 
               
               
                   
                 f62 
                 6.2259 
                 1.5981 
                 0.8327 
               
               
                   
                 f63 
                 6.2429 
                 1.5306 
                 0.7631 
               
               
                   
                 f64 
                 6.2751 
                 1.3927 
                 0.6277 
               
               
                   
                 f65 
                 6.3048 
                 1.2514 
                 0.4960 
               
               
                   
                 f66 
                 6.3318 
                 1.1068 
                 0.3680 
               
               
                   
                 f67 
                 6.3559 
                 0.9586 
                 0.2442 
               
               
                   
                 f68 
                 6.3770 
                 0.8067 
                 0.1249 
               
               
                   
                 f69 
                 6.3948 
                 0.6499 
                 0.0125 
               
               
                   
                 f70 
                 6.4090 
                 0.4914 
                 −0.0988 
               
               
                   
                 f71 
                 6.4195 
                 0.3271 
                 −0.2006 
               
               
                   
                 f72 
                 6.4258 
                 0.1611 
                 −0.3006 
               
               
                   
                 f73 
                 6.4278 
                 −0.0107 
                 −0.3904 
               
               
                   
                 f74 
                 6.4252 
                 −0.1836 
                 −0.4779 
               
               
                   
                 f75 
                 6.4176 
                 −0.3617 
                 −0.5554 
               
               
                   
                 f76 
                 6.4050 
                 −0.5401 
                 −0.6310 
               
               
                   
                 f77 
                 6.3871 
                 −0.7219 
                 −0.6985 
               
               
                   
                 f78 
                 6.3636 
                 −0.9058 
                 −0.7597 
               
               
                   
                 f79 
                 6.3344 
                 −1.0915 
                 −0.8143 
               
               
                   
                 f80 
                 6.2992 
                 −1.2790 
                 −0.8613 
               
               
                   
                 f81 
                 6.2793 
                 −1.3734 
                 −0.8815 
               
               
                   
                 f82 
                 6.2578 
                 −1.4682 
                 −0.8989 
               
               
                   
                 f83 
                 6.2347 
                 −1.5636 
                 −0.9133 
               
               
                   
                 f84 
                 6.2223 
                 −1.6122 
                 −0.9165 
               
               
                   
                 f85 
                 6.2171 
                 −1.6321 
                 −0.9158 
               
               
                   
                 f86 
                 6.2145 
                 −1.6422 
                 −0.9147 
               
               
                   
                 f87 
                 6.2118 
                 −1.6524 
                 −0.9134 
               
               
                   
                 f88 
                 6.2103 
                 −1.6580 
                 −0.9107 
               
               
                   
                 f89 
                 6.2095 
                 −1.6610 
                 −0.9086 
               
               
                   
                 f90 
                 6.2090 
                 −1.6626 
                 −0.9070 
               
               
                   
                 f91 
                 6.2088 
                 −1.6635 
                 −0.9057 
               
               
                   
                 f92 
                 6.2086 
                 −1.6641 
                 −0.9048 
               
               
                   
                 f93 
                 6.2086 
                 −1.6644 
                 −0.9042 
               
               
                   
                 f94 
                 6.2085 
                 −1.6646 
                 −0.9037 
               
               
                   
                 f95 
                 6.2085 
                 −1.6647 
                 −0.9034 
               
               
                   
                 f96 
                 6.2084 
                 −1.6649 
                 −0.9026 
               
               
                   
                 g1  
                 6.9092 
                 −1.6919 
                 −0.8225 
               
               
                   
                 g2  
                 6.9092 
                 −1.6921 
                 −0.8216 
               
               
                   
                 g3  
                 6.9091 
                 −1.6921 
                 −0.8213 
               
               
                   
                 g4  
                 6.9091 
                 −1.6921 
                 −0.8208 
               
               
                   
                 g5  
                 6.9091 
                 −1.6921 
                 −0.8200 
               
               
                   
                 g6  
                 6.9092 
                 −1.6921 
                 −0.8190 
               
               
                   
                 g7  
                 6.9092 
                 −1.6918 
                 −0.8175 
               
               
                   
                 g8  
                 6.9094 
                 −1.6910 
                 −0.8153 
               
               
                   
                 g9  
                 6.9098 
                 −1.6893 
                 −0.8120 
               
               
                   
                 g10 
                 6.9108 
                 −1.6855 
                 −0.8070 
               
               
                   
                 g11 
                 6.9128 
                 −1.6771 
                 −0.8011 
               
               
                   
                 g12 
                 6.9148 
                 −1.6687 
                 −0.7953 
               
               
                   
                 g13 
                 6.9190 
                 −1.6514 
                 −0.7854 
               
               
                   
                 g14 
                 6.9293 
                 −1.6076 
                 −0.7651 
               
               
                   
                 g15 
                 6.9493 
                 −1.5186 
                 −0.7308 
               
               
                   
                 g16 
                 6.9682 
                 −1.4297 
                 −0.6975 
               
               
                   
                 g17 
                 6.9858 
                 −1.3408 
                 −0.6649 
               
               
                   
                 g18 
                 7.0175 
                 −1.1634 
                 −0.6004 
               
               
                   
                 g19 
                 7.0445 
                 −0.9869 
                 −0.5352 
               
               
                   
                 g20 
                 7.0669 
                 −0.8113 
                 −0.4686 
               
               
                   
                 g21 
                 7.0848 
                 −0.6368 
                 −0.4001 
               
               
                   
                 g22 
                 7.0982 
                 −0.4644 
                 −0.3274 
               
               
                   
                 g23 
                 7.1074 
                 −0.2912 
                 −0.2567 
               
               
                   
                 g24 
                 7.1123 
                 −0.1209 
                 −0.1798 
               
               
                   
                 g25 
                 7.1132 
                 0.0506 
                 −0.1051 
               
               
                   
                 g26 
                 7.1100 
                 0.2193 
                 −0.0244 
               
               
                   
                 g27 
                 7.1027 
                 0.3892 
                 0.0544 
               
               
                   
                 g28 
                 7.0916 
                 0.5562 
                 0.1400 
               
               
                   
                 g29 
                 7.0764 
                 0.7240 
                 0.2245 
               
               
                   
                 g30 
                 7.0575 
                 0.8896 
                 0.3142 
               
               
                   
                 g31 
                 7.0348 
                 1.0539 
                 0.4075 
               
               
                   
                 g32 
                 7.0085 
                 1.2164 
                 0.5047 
               
               
                   
                 g33 
                 6.9788 
                 1.3770 
                 0.6063 
               
               
                   
                 g34 
                 6.9456 
                 1.5354 
                 0.7123 
               
               
                   
                 g35 
                 6.9279 
                 1.6136 
                 0.7675 
               
               
                   
                 g36 
                 6.9187 
                 1.6526 
                 0.7952 
               
               
                   
                 g37 
                 6.9140 
                 1.6721 
                 0.8090 
               
               
                   
                 g38 
                 6.9116 
                 1.6819 
                 0.8159 
               
               
                   
                 g39 
                 6.9093 
                 1.6916 
                 0.8228 
               
               
                   
                 g40 
                 6.9089 
                 1.6931 
                 0.8238 
               
               
                   
                 g41 
                 6.9087 
                 1.6938 
                 0.8243 
               
               
                   
                 g42 
                 6.9086 
                 1.6942 
                 0.8245 
               
               
                   
                 g43 
                 6.9086 
                 1.6944 
                 0.8246 
               
               
                   
                 g44 
                 6.9086 
                 1.6945 
                 0.8247 
               
               
                   
                 g45 
                 6.9085 
                 1.6945 
                 0.8247 
               
               
                   
                 g46 
                 6.9085 
                 1.6946 
                 0.8247 
               
               
                   
                 g47 
                 6.9085 
                 1.6946 
                 0.8247 
               
               
                   
                 g48 
                 6.9085 
                 1.6946 
                 0.8247 
               
               
                   
                 g49 
                 6.9085 
                 1.6946 
                 0.8247 
               
               
                   
                 g50 
                 6.9085 
                 1.6946 
                 0.8246 
               
               
                   
                 g51 
                 6.9085 
                 1.6946 
                 0.8246 
               
               
                   
                 g52 
                 6.9085 
                 1.6946 
                 0.8246 
               
               
                   
                 g53 
                 6.9085 
                 1.6946 
                 0.8245 
               
               
                   
                 g54 
                 6.9086 
                 1.6945 
                 0.8244 
               
               
                   
                 g55 
                 6.9086 
                 1.6944 
                 0.8242 
               
               
                   
                 g56 
                 6.9087 
                 1.6941 
                 0.8239 
               
               
                   
                 g57 
                 6.9088 
                 1.6935 
                 0.8233 
               
               
                   
                 g58 
                 6.9091 
                 1.6922 
                 0.8221 
               
               
                   
                 g59 
                 6.9112 
                 1.6835 
                 0.8138 
               
               
                   
                 g60 
                 6.9134 
                 1.6748 
                 0.8056 
               
               
                   
                 g61 
                 6.9176 
                 1.6574 
                 0.7891 
               
               
                   
                 g62 
                 6.9258 
                 1.6224 
                 0.7562 
               
               
                   
                 g63 
                 6.9419 
                 1.5523 
                 0.6902 
               
               
                   
                 g64 
                 6.9723 
                 1.4092 
                 0.5620 
               
               
                   
                 g65 
                 7.0003 
                 1.2631 
                 0.4376 
               
               
                   
                 g66 
                 7.0256 
                 1.1139 
                 0.3170 
               
               
                   
                 g67 
                 7.0481 
                 0.9614 
                 0.2007 
               
               
                   
                 g68 
                 7.0676 
                 0.8055 
                 0.0891 
               
               
                   
                 g69 
                 7.0840 
                 0.6450 
                 −0.0155 
               
               
                   
                 g70 
                 7.0969 
                 0.4831 
                 −0.1191 
               
               
                   
                 g71 
                 7.1063 
                 0.3157 
                 −0.2129 
               
               
                   
                 g72 
                 7.1118 
                 0.1468 
                 −0.3049 
               
               
                   
                 g73 
                 7.1133 
                 −0.0274 
                 −0.3865 
               
               
                   
                 g74 
                 7.1104 
                 −0.2026 
                 −0.4659 
               
               
                   
                 g75 
                 7.1030 
                 −0.3824 
                 −0.5351 
               
               
                   
                 g76 
                 7.0911 
                 −0.5626 
                 −0.6023 
               
               
                   
                 g77 
                 7.0741 
                 −0.7458 
                 −0.6614 
               
               
                   
                 g78 
                 7.0522 
                 −0.9309 
                 −0.7141 
               
               
                   
                 g79 
                 7.0250 
                 −1.1177 
                 −0.7602 
               
               
                   
                 g80 
                 6.9924 
                 −1.3060 
                 −0.7986 
               
               
                   
                 g81 
                 6.9741 
                 −1.4007 
                 −0.8145 
               
               
                   
                 g82 
                 6.9543 
                 −1.4958 
                 −0.8276 
               
               
                   
                 g83 
                 6.9330 
                 −1.5914 
                 −0.8376 
               
               
                   
                 g84 
                 6.9217 
                 −1.6399 
                 −0.8386 
               
               
                   
                 g85 
                 6.9170 
                 −1.6597 
                 −0.8370 
               
               
                   
                 g86 
                 6.9146 
                 −1.6698 
                 −0.8355 
               
               
                   
                 g87 
                 6.9121 
                 −1.6799 
                 −0.8337 
               
               
                   
                 g88 
                 6.9108 
                 −1.6853 
                 −0.8309 
               
               
                   
                 g89 
                 6.9101 
                 −1.6882 
                 −0.8286 
               
               
                   
                 g90 
                 6.9097 
                 −1.6898 
                 −0.8269 
               
               
                   
                 g91 
                 6.9095 
                 −1.6907 
                 −0.8257 
               
               
                   
                 g92 
                 6.9094 
                 −1.6912 
                 −0.8248 
               
               
                   
                 g93 
                 6.9093 
                 −1.6914 
                 −0.8241 
               
               
                   
                 g94 
                 6.9093 
                 −1.6916 
                 −0.8236 
               
               
                   
                 g95 
                 6.9092 
                 −1.6917 
                 −0.8233 
               
               
                   
                 g96 
                 6.9092 
                 −1.6919 
                 −0.8225 
               
               
                   
                 h1  
                 7.6115 
                 −1.6995 
                 −0.7407 
               
               
                   
                 h2  
                 7.6114 
                 −1.6996 
                 −0.7399 
               
               
                   
                 h3  
                 7.6114 
                 −1.6996 
                 −0.7395 
               
               
                   
                 h4  
                 7.6114 
                 −1.6996 
                 −0.7390 
               
               
                   
                 h5  
                 7.6114 
                 −1.6996 
                 −0.7383 
               
               
                   
                 h6  
                 7.6115 
                 −1.6995 
                 −0.7373 
               
               
                   
                 h7  
                 7.6116 
                 −1.6991 
                 −0.7358 
               
               
                   
                 h8  
                 7.6117 
                 −1.6983 
                 −0.7337 
               
               
                   
                 h9  
                 7.6121 
                 −1.6965 
                 −0.7305 
               
               
                   
                 h10 
                 7.6130 
                 −1.6925 
                 −0.7258 
               
               
                   
                 h11 
                 7.6149 
                 −1.6840 
                 −0.7203 
               
               
                   
                 h12 
                 7.6168 
                 −1.6754 
                 −0.7150 
               
               
                   
                 h13 
                 7.6206 
                 −1.6580 
                 −0.7060 
               
               
                   
                 h14 
                 7.6301 
                 −1.6138 
                 −0.6877 
               
               
                   
                 h15 
                 7.6484 
                 −1.5246 
                 −0.6576 
               
               
                   
                 h16 
                 7.6656 
                 −1.4355 
                 −0.6285 
               
               
                   
                 h17 
                 7.6818 
                 −1.3465 
                 −0.6001 
               
               
                   
                 h18 
                 7.7108 
                 −1.1691 
                 −0.5438 
               
               
                   
                 h19 
                 7.7355 
                 −0.9925 
                 −0.4869 
               
               
                   
                 h20 
                 7.7560 
                 −0.8170 
                 −0.4284 
               
               
                   
                 h21 
                 7.7724 
                 −0.6425 
                 −0.3680 
               
               
                   
                 h22 
                 7.7847 
                 −0.4699 
                 −0.3035 
               
               
                   
                 h23 
                 7.7932 
                 −0.2967 
                 −0.2408 
               
               
                   
                 h24 
                 7.7979 
                 −0.1261 
                 −0.1720 
               
               
                   
                 h25 
                 7.7988 
                 0.0456 
                 −0.1054 
               
               
                   
                 h26 
                 7.7959 
                 0.2147 
                 −0.0327 
               
               
                   
                 h27 
                 7.7894 
                 0.3850 
                 0.0380 
               
               
                   
                 h28 
                 7.7793 
                 0.5527 
                 0.1155 
               
               
                   
                 h29 
                 7.7655 
                 0.7213 
                 0.1918 
               
               
                   
                 h30 
                 7.7482 
                 0.8880 
                 0.2734 
               
               
                   
                 h31 
                 7.7274 
                 1.0535 
                 0.3586 
               
               
                   
                 h32 
                 7.7033 
                 1.2176 
                 0.4476 
               
               
                   
                 h33 
                 7.6758 
                 1.3800 
                 0.5410 
               
               
                   
                 h34 
                 7.6452 
                 1.5405 
                 0.6388 
               
               
                   
                 h35 
                 7.6288 
                 1.6199 
                 0.6899 
               
               
                   
                 h36 
                 7.6203 
                 1.6595 
                 0.7155 
               
               
                   
                 h37 
                 7.6159 
                 1.6794 
                 0.7283 
               
               
                   
                 h38 
                 7.6137 
                 1.6893 
                 0.7347 
               
               
                   
                 h39 
                 7.6115 
                 1.6992 
                 0.7411 
               
               
                   
                 h40 
                 7.6112 
                 1.7006 
                 0.7420 
               
               
                   
                 h41 
                 7.6110 
                 1.7014 
                 0.7424 
               
               
                   
                 h42 
                 7.6110 
                 1.7018 
                 0.7426 
               
               
                   
                 h43 
                 7.6109 
                 1.7020 
                 0.7427 
               
               
                   
                 h44 
                 7.6109 
                 1.7021 
                 0.7428 
               
               
                   
                 h45 
                 7.6109 
                 1.7021 
                 0.7428 
               
               
                   
                 h46 
                 7.6109 
                 1.7021 
                 0.7428 
               
               
                   
                 h47 
                 7.6109 
                 1.7022 
                 0.7428 
               
               
                   
                 h48 
                 7.6109 
                 1.7022 
                 0.7428 
               
               
                   
                 h49 
                 7.6109 
                 1.7022 
                 0.7428 
               
               
                   
                 h50 
                 7.6109 
                 1.7022 
                 0.7427 
               
               
                   
                 h51 
                 7.6109 
                 1.7022 
                 0.7427 
               
               
                   
                 h52 
                 7.6109 
                 1.7022 
                 0.7427 
               
               
                   
                 h53 
                 7.6109 
                 1.7022 
                 0.7426 
               
               
                   
                 h54 
                 7.6109 
                 1.7021 
                 0.7425 
               
               
                   
                 h55 
                 7.6109 
                 1.7020 
                 0.7424 
               
               
                   
                 h56 
                 7.6110 
                 1.7017 
                 0.7421 
               
               
                   
                 h57 
                 7.6111 
                 1.7010 
                 0.7415 
               
               
                   
                 h58 
                 7.6114 
                 1.6997 
                 0.7403 
               
               
                   
                 h59 
                 7.6134 
                 1.6908 
                 0.7326 
               
               
                   
                 h60 
                 7.6154 
                 1.6819 
                 0.7248 
               
               
                   
                 h61 
                 7.6193 
                 1.6640 
                 0.7094 
               
               
                   
                 h62 
                 7.6270 
                 1.6282 
                 0.6784 
               
               
                   
                 h63 
                 7.6420 
                 1.5563 
                 0.6163 
               
               
                   
                 h64 
                 7.6704 
                 1.4100 
                 0.4961 
               
               
                   
                 h65 
                 7.6963 
                 1.2610 
                 0.3797 
               
               
                   
                 h66 
                 7.7196 
                 1.1091 
                 0.2671 
               
               
                   
                 h67 
                 7.7403 
                 0.9542 
                 0.1589 
               
               
                   
                 h68 
                 7.7581 
                 0.7962 
                 0.0554 
               
               
                   
                 h69 
                 7.7731 
                 0.6340 
                 −0.0411 
               
               
                   
                 h70 
                 7.7847 
                 0.4705 
                 −0.13&amp;4 
               
               
                   
                 h71 
                 7.7930 
                 0.3020 
                 −0.2221 
               
               
                   
                 h72 
                 7.7978 
                 0.1322 
                 −0.3058 
               
               
                   
                 h73 
                 7.7988 
                 −0.0424 
                 −0.3791 
               
               
                   
                 h74 
                 7.7958 
                 −0.2179 
                 −0.4502 
               
               
                   
                 h75 
                 7.7888 
                 −0.3975 
                 −0.5110 
               
               
                   
                 h76 
                 7.7775 
                 −0.5775 
                 −0.5699 
               
               
                   
                 h77 
                 7.7618 
                 −0.7602 
                 −0.6207 
               
               
                   
                 h78 
                 7.7415 
                 −0.9445 
                 −0.6651 
               
               
                   
                 h79 
                 7.7165 
                 −1.1303 
                 −0.7029 
               
               
                   
                 h80 
                 7.6868 
                 −1.3175 
                 −0.7330 
               
               
                   
                 h81 
                 7.6701 
                 −1.4115 
                 −0.7448 
               
               
                   
                 h82 
                 7.6521 
                 −1.5060 
                 −0.7538 
               
               
                   
                 h83 
                 7.6328 
                 −1.6007 
                 −0.7597 
               
               
                   
                 h84 
                 7.6226 
                 −1.6487 
                 −0.7587 
               
               
                   
                 h85 
                 7.6184 
                 −1.6682 
                 −0.7564 
               
               
                   
                 h86 
                 7.6162 
                 −1.6781 
                 −0.7544 
               
               
                   
                 h87 
                 7.6140 
                 −1.6880 
                 −0.7523 
               
               
                   
                 h88 
                 7.6129 
                 −1.6933 
                 −0.7492 
               
               
                   
                 h89 
                 7.6122 
                 −1.6960 
                 −0.7469 
               
               
                   
                 h90 
                 7.6119 
                 −1.6975 
                 −0.7452 
               
               
                   
                 h91 
                 7.6117 
                 −1.6983 
                 −0.7439 
               
               
                   
                 h92 
                 7.6116 
                 −1.6988 
                 −0.7430 
               
               
                   
                 h93 
                 7.6116 
                 −1.6990 
                 −0.7423 
               
               
                   
                 h94 
                 7.6115 
                 −1.6992 
                 −0.7419 
               
               
                   
                 h95 
                 7.6115 
                 −1.6993 
                 −0.7415 
               
               
                   
                 h96 
                 7.6115 
                 −1.6995 
                 −0.7407 
               
               
                   
                 i1  
                 8.3146 
                 −1.6891 
                 −0.6550 
               
               
                   
                 i2  
                 8.3146 
                 −1.6892 
                 −0.6541 
               
               
                   
                 i3  
                 8.3146 
                 −1.6892 
                 −0.6538 
               
               
                   
                 i4  
                 8.3146 
                 −1.6892 
                 −0.6533 
               
               
                   
                 i5  
                 8.3146 
                 −1.6891 
                 −0.6526 
               
               
                   
                 i6  
                 8.3146 
                 −1.6890 
                 −0.6516 
               
               
                   
                 i7  
                 8.3147 
                 −1.6886 
                 −0.6502 
               
               
                   
                 i8  
                 8.3149 
                 −1.6877 
                 −0.6481 
               
               
                   
                 i9  
                 8.3153 
                 −1.6858 
                 −0.6451 
               
               
                   
                 i10 
                 8.3161 
                 −1.6817 
                 −0.6407 
               
               
                   
                 i11 
                 8.3178 
                 −1.6732 
                 −0.6357 
               
               
                   
                 i12 
                 8.3196 
                 −1.6646 
                 −0.6308 
               
               
                   
                 i13 
                 8.3230 
                 −1.6472 
                 −0.6227 
               
               
                   
                 i14 
                 8.3316 
                 −1.6032 
                 −0.6067 
               
               
                   
                 i15 
                 8.3481 
                 −1.5147 
                 −0.5810 
               
               
                   
                 i16 
                 8.3637 
                 −1.4264 
                 −0.5562 
               
               
                   
                 i17 
                 8.3782 
                 −1.3382 
                 −0.5320 
               
               
                   
                 i18 
                 8.4044 
                 −1.1626 
                 −0.4842 
               
               
                   
                 i19 
                 8.4267 
                 −0.9878 
                 −0.4357 
               
               
                   
                 i20 
                 8.4453 
                 −0.8141 
                 −0.3856 
               
               
                   
                 i21 
                 8.4602 
                 −0.6414 
                 −0.3336 
               
               
                   
                 i22 
                 8.4714 
                 −0.4705 
                 −0.2775 
               
               
                   
                 i23 
                 8.4792 
                 −0.2989 
                 −0.2232 
               
               
                   
                 i24 
                 8.4835 
                 −0.1298 
                 −0.1628 
               
               
                   
                 i25 
                 8.4843 
                 0.0403 
                 −0.1046 
               
               
                   
                 i26 
                 8.4819 
                 0.2082 
                 −0.0404 
               
               
                   
                 i27 
                 8.4761 
                 0.3771 
                 0.0219 
               
               
                   
                 i28 
                 8.4670 
                 0.5438 
                 0.0908 
               
               
                   
                 i29 
                 8.4546 
                 0.7114 
                 0.1586 
               
               
                   
                 i30 
                 8.4390 
                 0.8773 
                 0.2316 
               
               
                   
                 i31 
                 8.4202 
                 1.0424 
                 0.3081 
               
               
                   
                 i32 
                 8.3983 
                 1.2062 
                 0.3884 
               
               
                   
                 i33 
                 8.3733 
                 1.3687 
                 0.4730 
               
               
                   
                 i34 
                 8.3454 
                 1.5296 
                 0.5620 
               
               
                   
                 i35 
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                 i37 
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                 i38 
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                 i39 
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                 i40 
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                 i41 
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                 i42 
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     Although the plurality of coordinates in TABLE 2 correspond to a blade having a nine inch tip radius, (i.e., a fan having an eighteen inch propeller diameter), the TABLE 2 coordinates could simply be scaled up or down by a fixed percentage in order to correspond to a blade having a larger or smaller propeller diameter. For example, for a fan having a thirty inch propeller diameter, the blade (having a fifteen inch tip radius) would have an external surface having a shape defined by the relative positioning of the plurality of coordinates listed in TABLE 2 scaled up by a factor of {fraction (5/3)} or a fixed percentage of 166.67%. 
     The inventive blade design embodied in the propeller  14  provides increased performance, including improved efficiency and decreased noise levels. The illustrated propeller  14 , when operated under the parameters used to generate TABLE 1 discussed above (e.g., 1800 rpm, 0.05 static pressure, etc.) provided a 5-10 percent performance increase and a 2-3 decibel reduction in noise levels. It is believed that when the inventive blade design is combined with the inventive cylinder and drive assembly designs described in detail below, the improved efficiency of the fan  10  can approach as much as 20 percent and the noise level reduction can approach as much as 6 decibels. 
     The drive assembly  16  rotatably supports the propeller  14  in the cylinder  12  and is operable to rotate the propeller  14 . As shown in FIG. 5, the drive assembly includes a shaft  66  fixed relative to the hub  26  and extending axially therefrom along the rotational axis A R . The shaft  66  is fixed relative to the hub  26  by a bushing  68  keyed to the shaft  66  by a key  70 . The portion of the shaft  66  that is distal to the hub  26  is encased by a bearing cover  72 . The bearing cover  72  includes a top plate  74  that is fixed relative to the cylinder  12  by a belt cover  76 . The top plate  74  of the bearing cover  72  is fixed to (e.g., weldment, etc.) the bottom portion (i.e., the portion distal to the interior surface  18  of the cylinder  12 ) of the belt cover  76  and the top portion of the belt cover  76  is fixed (e.g., weldment, etc.) to the cylinder  12 . The shaft  66  is supported on the top plate  74  of the bearing cover  72  by a pair of pillow block bearings  78  and  80 . A sheave  82  is keyed to the distal end of the shaft  66  by a key  84 . The top plate  74  includes a semi-circular shaped aperture  86  that the sheave  82  projects through and that is configured to be enclosed within the belt cover  76  (see FIG.  6 ). The bearing cover  72  further includes a lower casement comprising a bottom wall  88  extending generally parallel to the top plate  74 , a pair of sidewalls  88   a  and  88   b  extending generally perpendicular to the bottom wall  88  and the top plate  74 , and a pair of converging walls  88   c ,  88   d  extending generally non-parallel and non-perpendicular to the bottom wall  88  and the top plate  74 . The bearing cover  72  further includes end panels  90  and  92 . For assembly purposes, the walls  88 ,  88   a ,  88   b ,  88   c ,  88   d  include end tabs that fold over the end panels  90 ,  92  (see FIGS. 2 and 4) for facilitating fixing the panels  90 ,  92  to the casement (e.g., spotwelding, etc.). The end panel  90  is slotted to provide adequate clearance for the shaft  66 . The casement is fixed to the top plate  74  by a pair of bracket assemblies  94  and  96  (see FIG.  5 ). 
     When the propeller  14  rotates, air is drawn through the cylinder  12 . In some applications, this air will be polluted with particles (e.g., exhausting a spray booth). Certain such particles can undesirably interfere with the efficient operation of certain components of the drive assembly (e.g., the bearings  78  and  80 ). It is therefore important that the bearing cover  72  present a solid surface portion that is in an upstream covering relationship with the bearings  78  and  80  to obstruct airflow through the bearing cover  72 . In the illustrated bearing cover  72 , the end panel  92  functions as the solid surface obstructing air flow through the bearing cover  72 . However, it is also important that the bearing cover has aerodynamic qualities. For example, it is believed that the shape of the illustrated bearing cover  72  (e.g., having the convergent walled design) enhances its aerodynamic qualities. Particularly, it is important that the airflow-obstructing solid surface have a minimized surface area. It is further preferred that this surface area is representative of a generally uniform cross-section of the cover  72  along its length. It is believed that minimizing this surface area facilitates maximizing the flow output of the fan  10 . In this regard, the bearing cover  72  presents a cover dimension D C  (see FIG. 5) from the rotational axis A R  to the radially lowermost wall of the casement  88  of the bearing cover  72 . The cover dimension D C  is preferably less than about one-sixth the propeller diameter φ (or less than about one-third the tip radius R T ). As previously indicated, the illustrated blade  28  has a tip radius R T  of nine inches and a propeller diameter φ of eighteen inches. In the illustrated bearing cover  72 , the cover dimension D C  is approximately two inches and thus only about one-ninth of the propeller diameter φ. However, for fans having a larger propeller diameter, the bearing cover is typically also larger. For example, a fan having a propeller diameter of sixty inches typically requires a bearing cover having a cover dimension of about eight inches, which is less than one-sixth of the propeller diameter. Those skilled in the art will appreciate that while the cover dimension D C  does not measure the actual height of the bearing cover  72 , the preferred limitation of one-sixth the propeller diameter φ is directed in part to limiting the height of the bearing cover  72 . However, it is further believed that the other dimensions relevant to the area of the flow-obstructing surface of the bearing cover  72  (e.g., its width) should also be minimized as much as possible to enhance the overall aerodynamic qualities of the cover  72 . 
     The shaft  66  is drivingly connected to a power source  98  by an endless belt  100 . As shown in FIG. 5, the belt  100  entrains the sheave  82  and extends up through and out of the belt cover  76  where it entrains a drive pulley  102  coupled to an output shaft  104  of the power source  98 . The power source  98  is bolted to a motor mount  106  that is adjustably bracketed to motor support  108  by a bracket assembly  110 . The motor support  108  is fixed to (e.g., weldment, etc.) the top of the cylinder  12 . The belt cover  76  encircles the portion of the belt  100  extending between the top plate  74  of the bearing cover  72  and the top of the cylinder  12 . 
     The majority of the belt cover  76  is located within the cylinder  12  and therefore has an impact on the airflow through the cylinder  12 . It is believed that the shape of the belt cover  76  can add to or detract from the efficiency of the fan  10 . In this regard, the belt cover  76  is preferably shaped such that it tapers toward the portions of the cover  76  located furthest upstream and furthest downstream relative the direction of airflow. As shown in FIG. 6, the illustrated cover  76  has a tubular configuration having a teardrop shaped horizontal cross-section. The cover  76  includes a tubular nose section  76   a  and a tubular tail section  76   b . The tubular nose section  76   a  is semi-circle shaped that tapers towards an end furthest upstream. This upstream end is generally located above, but lying along, the rotational axis A R . The tubular tail section  76   b  is more triangular shaped than the nose section  76   a  and tapers towards a pointed end furthest downstream. This downstream end is generally located above, but lying along, the rotational axis A R . It is believed this teardrop shape for the belt cover  76 , having tapering end sections, facilitates maximizing the efficiency of the fan  10 . 
     As indicated above, components of the drive assembly  16  function to support the drive assembly  16  and the propeller  14  in the cylinder  12  to eliminate the need for additional, undesirable support structure that may further obstruct the airflow through the cylinder  12 . Particularly, in the illustrated fan  10 , the propeller  14 , the shaft  66 , the bearings  78  and  80 , and the bearing cover  72  are supported in the cylinder  12  by only the belt cover  76  but are otherwise unsupported in the cylinder  12 . Those skilled in the art will appreciate that the belt  100  provides no appreciable support for the shaft  66 . In this regard, other than the belt cover  76 , the interior circumferential surface  18  of the cylinder  12 , when viewed from the end  22  as in FIG. 4, is devoid of radially or chordally spanning support structure. That is to say, at least three quadrants of the interior surface  18 , or 270 degrees of rotation around the rotational axis A R , are devoid of support structure attached thereto. As previously discussed, the propeller diameter φ of the illustrated fan  10  is eighteen inches. For propeller diameters of about twenty inches or less, the interior surface of the cylinder being devoid of additional support structure is preferred. However, it is within the ambit of the present invention to utilize various alternative configurations for supporting the propeller and the drive assembly in the cylinder, particularly in fans having relatively larger propeller diameters. For example, if the propeller diameter is twenty-one inches or greater, some chordally or diametrically spanning support structure is preferred. However, any such additional structure should be minimized as much as possible. 
     One such example of a fan having additional support structure to support the propeller and drive assembly is the fan  210  illustrated in FIGS. 10 and 11. The fan  210  is similar to the fan  10  previously described in detail and includes a cylinder  212 , a propeller  214  rotatably supported in the cylinder  212 , and a drive assembly  216  operable to rotate the propeller  214 . Because the fan  210  is similar to the fan  10  discussed above, like components of the fan  210  will not be described in detail with the understanding that they include similar structure and perform similar functions, however, they will be referenced with similar  200  series reference numerals (e.g., component  72  of the fan  10  is the bearing cover and the like component of the fan  210  will be referenced as bearing cover  272 ). However, unlike the fan  10 , the fan  210  includes support structure to support the propeller  214 , the shaft  266 , the bearings  278  and  280 , and the bearing cover  272  in the cylinder  212  in addition to the support provided by belt cover  276 . 
     In particular, the fan  210  includes support plates  212   a  and  212   b  that are each fixed at one end to the top plate  274  of the bearing cover  272  and fixed at the other end to the interior circumferential surface  218  of the cylinder  212 . Each of the support plates  212   a  and  212   b  present a substantially equivalent plate width W P  extending along the interior circumferential surface  218  of the cylinder  212  and being generally parallel with the rotational axis of the propeller  214 . The plate width W P  preferably is minimized as much as possible but still provides sufficient support. In this regard, the cylinder  212  presents an axial length extending between the ends  220  and  222 . For example, the illustrated fan  210  has a preferred propeller diameter of twenty-one inches and a preferred axial length of about twenty-one inches. The corresponding preferred plate width W P  is less than about one-seventh of the axial length, i.e., less than about three inches. The illustrated plates  212   a  and  212   b  have a plate width W P  of about 2.5 inches. It is further believed that the plate width should be at least one-tenth of the axial length to provide the desired support function. Accordingly, a fan having a propeller diameter of sixty inches and a preferred axial length of fifty-one inches, preferably includes support plates having a width of between about 5.1 and 7.3 inches. In addition to minimizing the width of the support plates, it is further believed that positioning the plates as far upstream from the propeller as possible facilitates minimizing any obstruction of airflow provided by the plates. In this regard, the support plates  212   a  and  212   b  are positioned adjacent the open end  220  of the cylinder  212  while the propeller  214  is positioned adjacent the opposite open end  222  of the cylinder  212 . 
     The preferred forms of the invention described above are to be used as illustration only, and should not be utilized in a limiting sense in interpreting the scope of the present invention. Obvious modifications to the exemplary embodiments, as hereinabove set forth, could be readily made by those skilled in the art without departing from the spirit of the present invention. 
     The inventors hereby state their intent to rely on the Doctrine of Equivalents to determine and assess the reasonably fair scope of the present invention as pertains to any apparatus not materially departing from but outside the literal scope of the invention as set forth in the following claims.