Patent Publication Number: US-10775591-B2

Title: Camera optical lens

Description:
FIELD OF THE PRESENT DISCLOSURE 
     The present disclosure relates to optical lens, in particular to a camera optical lens suitable for handheld devices such as smart phones and digital cameras and imaging devices. 
     DESCRIPTION OF RELATED ART 
     With the emergence of smart phones in recent years, the demand for miniature camera lens is increasing day by day, but the photosensitive devices of general camera lens are no other than Charge Coupled Device (CCD) or Complementary metal-Oxide Semiconductor Sensor (CMOS sensor), and as the progress of the semiconductor manufacturing technology makes the pixel size of the photosensitive devices shrink, coupled with the current development trend of electronic products being that their functions should be better and their shape should be thin and small, miniature camera lens with good imaging quality therefor has become a mainstream in the market. In order to obtain better imaging quality, the lens that is traditionally equipped in mobile phone cameras adopts a three-piece or four-piece lens structure. And, with the development of technology and the increase of the diverse demands of users, and under this circumstances that the pixel area of photosensitive devices is shrinking steadily and the requirement of the system for the imaging quality is improving constantly, the five-piece, six-piece and seven-piece lens structure gradually appear in lens design. There is an urgent need for ultra-thin wide-angle camera lenses which have good optical characteristics and the chromatic aberration of which is fully corrected. 
    
    
     
       BRIEF DESCRIPTION OF THE DRAWINGS 
       Many aspects of the exemplary embodiments can be better understood with reference to the following drawings. The components in the drawing are not necessarily drawn to scale, the emphasis instead being placed upon clearly illustrating the principles of the present disclosure. 
         FIG. 1  is a schematic diagram of a camera optical lens in accordance with a first embodiment of the present invention; 
         FIG. 2  shows the longitudinal aberration of the camera optical lens shown in  FIG. 1 ; 
         FIG. 3  shows the lateral color of the camera optical lens shown in  FIG. 1 ; 
         FIG. 4  presents a schematic diagram of the field curvature and distortion of the camera optical lens shown in  FIG. 1 ; 
         FIG. 5  is a schematic diagram of a camera optical lens in accordance with a second embodiment of the present invention; 
         FIG. 6  presents the longitudinal aberration of the camera optical lens shown in  FIG. 5 ; 
         FIG. 7  presents the lateral color of the camera optical lens shown in  FIG. 5 ; 
         FIG. 8  presents the field curvature and distortion of the camera optical lens shown in  FIG. 5 ; 
         FIG. 9  is a schematic diagram of a camera optical lens in accordance with a third embodiment of the present invention; 
         FIG. 10  presents the longitudinal aberration of the camera optical lens shown in  FIG. 9 ; 
         FIG. 11  presents the lateral color of the camera optical lens shown in  FIG. 9 ; 
         FIG. 12  presents the field curvature and distortion of the camera optical lens shown in  FIG. 9 . 
     
    
    
     DETAILED DESCRIPTION OF THE EXEMPLARY EMBODIMENTS 
     The present disclosure will hereinafter be described in detail with reference to several exemplary embodiments. To make the technical problems to be solved, technical solutions and beneficial effects of the present disclosure more apparent, the present disclosure is described in further detail together with the figure and the embodiments. It should be understood the specific embodiments described hereby is only to explain the disclosure, not intended to limit the disclosure. 
     Embodiment 1 
     As referring to  FIG. 1 , the present invention provides a camera optical lens  10 .  FIG. 1  shows the camera optical lens  10  of embodiment 1 of the present invention, the camera optical lens  10  comprises 6 lenses. Specifically, from the object side to the image side, the camera optical lens  10  comprises in sequence: an aperture S 1 , a first lens L 1 , a second lens L 2 , a third lens L 3 , a fourth lens L 4 , a fifth lens L 5 , and a sixth lens L 6 . Optical element like optical filter GF can be arranged between the sixth lens L 6  and the image surface Si. The first lens L 1  is made of plastic material, the second lens L 2  is made of plastic material, the third lens L 3  is made of plastic material, the fourth lens L 4  is made of glass material, the fifth lens L 5  is made of glass material, and the sixth lens L 6  is made of plastic material. 
     The second lens L 2  has a positive refractive power, and the third lens L 3  has a negative refractive power. 
     Here, the focal length of the whole camera optical lens  10  is defined as f, the focal length of the first lens is defined as f1. The camera optical lens  10  further satisfies the following condition: 0.5≤f1/f≤10. Condition 0.5≤f1/f≤10 fixes the positive refractive power of the first lens L 1 . If the upper limit of the set value is exceeded, although it benefits the ultra-thin development of lenses, but the positive refractive power of the first lens L 1  will be too strong, problem like aberration is difficult to be corrected, and it is also unfavorable for wide-angle development of lens. On the contrary, if the lower limit of the set value is exceeded, the positive refractive power of the first lens L 1  becomes too weak, it is then difficult to develop ultra-thin lenses. Preferably, the following condition shall be satisfied, 0.93≤f1/f≤7.15. 
     The refractive power of the fourth lens L 4  is defined as n4. Here the following condition should satisfied: 1.7≤n4≤2.2. This condition fixes the refractive power of the fourth lens L 4 , and refractive power within this range benefits the ultra-thin development of lenses, and it also benefits the correction of aberration. Preferably, the following condition shall be satisfied, 1.707≤n4≤2.15. 
     The refractive power of the fifth lens L 5  is defined as n5. Here the following condition should satisfied: 1.75≤n5≤2.2. This condition fixes the refractive power of the fifth lens L 5 , and refractive power within this range benefits the ultra-thin development of lenses, and it also benefits the correction of aberration. Preferably, the following condition shall be satisfied, 1.7≤n5≤2.1. 
     In this embodiment, the first lens L 1  has a positive refractive power with a convex object side surface relative to the proximal axis and a concave image side surface relative to the proximal axis. 
     The curvature radius of the object side surface of the first lens L 1  is defined as R1, the curvature radius of the image side surface of the first lens L 1  is defined as R2. The camera optical lens  10  further satisfies the following condition: −14.26≤(R1+R2)/(R1−R2)≤−1.89, which fixes the shape of the first lens L 1 . When the value is beyond this range, with the development into the direction of ultra-thin and wide-angle lenses, problem like aberration of the off-axis picture angle is difficult to be corrected. Preferably, the condition −8.91≤(R1+R2)/(R1−R2)≤−2.36 shall be satisfied. 
     The thickness on-axis of the first lens L 1  is defined as d1, and the total optical length of the camera optical lens  10  is defined as TTL. The following to condition: 0.02≤d1/TTL≤0.11 should be satisfied. This condition fixes the ratio between the thickness on-axis of the first lens L 1  and the total optical length TTL. When the condition is satisfied, it is beneficial for realization of the ultra-thin lens. Preferably, the condition 0.04≤d1/TTL≤0.09 shall be satisfied. 
     In this embodiment, the second lens L 2  has a positive refractive power with a convex object side surface relative to the proximal axis and a concave image side surface relative to the proximal axis. 
     The focal length of the whole camera optical lens  10  is f, the focal length of the second lens L 2  is f2. The following condition should be satisfied: 0.82≤f2/f≤3.82. When the condition is satisfied, the positive refractive power of the second lens L 2  is controlled within reasonable scope, the spherical aberration caused by the first lens L 1  which has positive refractive power and the field curvature of the system then can be reasonably and effectively balanced. Preferably, the condition 1.32≤f2/f≤3.06 should be satisfied. 
     The curvature radius of the object side surface of the second lens L 2  is defined as R3, the curvature radius of the image side surface of the second lens L 2  is defined as R4. The following condition should be satisfied: −3.72≤(R3+R4)/(R3−R4)≤−1.01, which fixes the shape of the second lens L 2  and can effectively correct aberration of the camera optical lens. Preferably, the following condition shall be satisfied, −2.33≤(R3+R4)/(R3−R4)≤−1.26. 
     The thickness on-axis of the second lens L 2  is defined as d3, and the total optical length of the camera optical lens  10  is defined as TTL. The following condition: 0.05≤d3/TTL≤0.18 should be satisfied. This condition fixes the ratio between the thickness on-axis of the second lens L 2  and the total optical length TTL. When the condition is satisfied, it is beneficial for realization of the ultra-thin lens. Preferably, the condition 0.08≤d3/TTL≤0.14 shall be satisfied. 
     In this embodiment, the third lens L 3  has a negative refractive power with a convex object side surface relative to the proximal axis and a concave image side surface relative to the proximal axis. 
     The focal length of the whole camera optical lens  10  is f, the focal length of the third lens L 3  is f3. The following condition should be satisfied: −11.07≤f3/f≤−1.24, by which the field curvature of the system then can be reasonably and effectively balanced. Preferably, the condition −6.92≤f3/f≤−1.56 should be satisfied. 
     The curvature radius of the object side surface of the third lens L 3  is defined as R5, the curvature radius of the image side surface of the third lens L 3  is defined as R6. The following condition should be satisfied: 1.49≤(R5+R6)/(R5−R6)≤5.62, by which, with the development into the direction of ultra-thin and wide-angle lenses, problem like aberration of the off-axis picture angle is difficult to be corrected. Preferably, the following condition shall be satisfied, 2.38≤(R5+R6)/(R5−R6)≤4.5. 
     The thickness on-axis of the third lens L 3  is defined as d5, and the total optical length of the camera optical lens  10  is defined as TTL. The following condition: 0.02≤d5/TTL≤0.07 should be satisfied. This condition fixes the ratio between the thickness on-axis of the third lens L 3  and the total optical length TTL. When the condition is satisfied, it is beneficial for realization of the ultra-thin lens. Preferably, the condition 0.03≤d5/TTL≤0.06 shall be satisfied. 
     In this embodiment, the fourth lens L 4  has a positive refractive power with a convex object side surface and a convex image side surface relative to the proximal axis. 
     The focal length of the whole camera optical lens  10  is f, the focal length of the fourth lens L 4  is f4. The following condition should be satisfied: 0.63≤f4/f≤3.06, which can effectively reduce the sensitivity of lens group used in camera and further enhance the imaging quality. Preferably, the condition 1.01≤f4/f≤2.45 should be satisfied. 
     The curvature radius of the object side surface of the fourth lens L 4  is defined as R7, the curvature radius of the image side surface of the fourth lens L 4  is defined as R8. The following condition should be satisfied: −0.82≤(R7+R8)/(R7−R8)≤−0.02, by which, with the development into the direction of ultra-thin and wide-angle lenses, problem like aberration of the off-axis picture angle is difficult to be corrected. Preferably, the following condition shall be satisfied, −0.51≤(R7+R8)/(R7−R8)≤−0.03. 
     The thickness on-axis of the fourth lens L 4  is defined as d7, and the total optical length of the camera optical lens  10  is defined as TTL. The following condition: 0.03≤d7/TTL≤0.17 should be satisfied. This condition fixes the ratio between the thickness on-axis of the fourth lens L 4  and the total optical length TTL. When the condition is satisfied, it is beneficial for realization of the ultra-thin lens. Preferably, the condition 0.05≤d7/TTL≤0.14 shall be satisfied. 
     In this embodiment, the fifth lens L 5  has a negative refractive power with a concave object side surface and a convex image side surface relative to the proximal axis. 
     The focal length of the whole camera optical lens  10  is f, the focal length of the fifth lens L 5  is f5. The following condition should be satisfied: −6.66≤f5/f≤−1.29, which can effectively smooth the light angles of the camera and reduce the tolerance sensitivity. Preferably, the condition −4.17≤f5/f≤−1.62 should be satisfied. 
     The curvature radius of the object side surface of the fifth lens L 5  is defined as R9, the curvature radius of the image side surface of the fifth lens L 5  is defined as R10. The following condition should be satisfied: −17.75≤(R9+R10)/(R9−R10)≤−1.42, by which, the shape of the fifth lens L 5  is fixed, further, with the development into the direction of ultra-thin and wide-angle lenses, problem like aberration of the off-axis picture angle is difficult to be corrected. Preferably, the following condition shall be satisfied, −11.1≤(R9+R10)/(R9−R10)≤−1.77. 
     The thickness on-axis of the fifth lens L 5  is defined as d9, and the total optical length of the camera optical lens  10  is defined as TTL. The following condition: 0.03≤d9/TTL≤0.12 should be satisfied. This condition fixes the ratio between the thickness on-axis of the fifth lens L 5  and the total optical length TTL. When the condition is satisfied, it is beneficial for realization of the ultra-thin lens. Preferably, the condition 0.05≤d9/TTL≤0.1 shall be satisfied. 
     In this embodiment, the sixth lens L 6  has a convex object side surface and a concave image side surface relative to the proximal axis. 
     The focal length of the whole camera optical lens  10  is f, the focal length of the sixth lens L 6  is f6. The following condition should be satisfied: −8.87≤f6/f≤18.87, which can effectively reduce the sensitivity of lens group used in camera and further enhance the imaging quality. Preferably, the condition −5.55≤f6/f≤15.1 should be satisfied. 
     The curvature radius of the object side surface of the sixth lens L 6  is defined as R11, the curvature radius of the image side surface of the sixth lens L 6  is defined as R12. The following condition should be satisfied: 1.62≤(R11+R12)/(R11−R12)≤16.93, by which, the shape of the sixth lens L 6  is fixed, further, with the development into the direction of ultra-thin and wide-angle lenses, problem like aberration of the off-axis picture angle is difficult to be corrected. Preferably, the following condition shall be satisfied, 2.59≤(R11+R12)/(R11−R12)≤13.54. 
     The thickness on-axis of the sixth lens L 6  is defined as d11, and the total optical length of the camera optical lens  10  is defined as TTL. The following condition: 0.07≤d11/TTL≤0.31 should be satisfied. This condition fixes the ratio between the thickness on-axis of the sixth lens L 6  and the total optical length TTL. When the condition is satisfied, it is beneficial for realization of the ultra-thin lens. Preferably, the condition 0.11≤d11/TTL≤0.25 shall be satisfied. 
     The focal length of the whole camera optical lens  10  is f, the combined focal length of the first lens L 1  and the second lens L 2  is f12. The following condition should be satisfied: 0.45≤f12/f≤1.82, which can effectively avoid the aberration and field curvature of the camera optical lens, and can suppress the rear focal length for realizing the ultra-thin lens. Preferably, the condition 0.72≤f12/f≤1.46 should be satisfied. 
     In this embodiment, the total optical length TTL of the camera optical lens  10  is less than or equal to 5.89 mm, it is beneficial for the realization of ultra-thin lenses. Preferably, the total optical length TTL of the camera optical lens  10  is less than or equal to 5.62 mm. 
     In this embodiment, the aperture F number of the camera optical lens  10  is less than or equal to 2.16. A large aperture has better imaging performance. Preferably, the aperture F number of the camera optical lens  10  is less than or equal to 2.12. 
     With such design, the total optical length TTL of the whole camera optical lens  10  can be made as short as possible, thus the miniaturization characteristics can be maintained. 
     In the following, an example will be used to describe the camera optical lens  10  of the present invention. The symbols recorded in each example are as follows. The unit of distance, radius and center thickness is mm. 
     TTL: Optical length (the distance on-axis from the object side surface of the first lens L 1  to the image surface). 
     Preferably, inflexion points and/or arrest points can also be arranged on the object side surface and/or image side surface of the lens, so that the demand for high quality imaging can be satisfied, the description below can be referred for specific implementable scheme. 
     The design information of the camera optical lens  10  in the first embodiment of the present invention is shown in the following, the unit of the focal length, distance, radius and center thickness is mm. 
     The design information of the camera optical lens  10  in the first embodiment of the present invention is shown in the tables 1 and 2. 
     
       
         
           
               
               
               
               
               
             
               
                   
                 TABLE 1 
               
               
                   
                   
               
               
                   
                 R 
                 d 
                 nd 
                 νd 
               
               
                   
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 S1 
                 ∞ 
                 d0 = 
                 −0.253 
                   
                   
                   
                   
               
               
                 R1 
                 1.979 
                 d1 = 
                 0.398 
                 nd1 
                 1.6030 
                 ν1 
                 38.00 
               
               
                 R2 
                 4.142 
                 d2 = 
                 0.049 
               
               
                 R3 
                 4.269 
                 d3 = 
                 0.572 
                 nd2 
                 1.5440 
                 ν2 
                 55.90 
               
               
                 R4 
                 14.174 
                 d4 = 
                 0.039 
               
               
                 R5 
                 5.040 
                 d5 = 
                 0.212 
                 nd3 
                 1.6390 
                 ν3 
                 23.50 
               
               
                 R6 
                 2.505 
                 d6 = 
                 0.258 
               
               
                 R7 
                 8.832 
                 d7 = 
                 0.598 
                 nd4 
                 1.7126 
                 ν4 
                 55.80 
               
               
                 R8 
                 −21.132 
                 d8 = 
                 0.469 
               
               
                 R9 
                 −3.648 
                 d9 = 
                 0.428 
                 nd5 
                 1.7000 
                 ν5 
                 21.40 
               
               
                 R10 
                 −10.127 
                 d10 = 
                 0.083 
               
               
                 R11 
                 1.796 
                 d11 = 
                 1.106 
                 nd6 
                 1.5350 
                 ν6 
                 55.70 
               
               
                 R12 
                 1.504 
                 d12 = 
                 0.443 
               
               
                 R13 
                 ∞ 
                 d13 = 
                 0.210 
                 ndg 
                 1.5168 
                 νg 
                 64.17 
               
               
                 R14 
                 ∞ 
                 d14 = 
                 0.437 
               
               
                   
               
            
           
         
       
     
     Where: 
     In which, the meaning of the various symbols is as follows. 
     S 1 : Aperture; 
     R: The curvature radius of the optical surface, the central curvature radius in case of lens; 
     R1: The curvature radius of the object side surface of the first lens L 1 ; 
     R2: The curvature radius of the image side surface of the first lens L 1 ; 
     R3: The curvature radius of the object side surface of the second lens L 2 ;
         R4: The curvature radius of the image side surface of the second lens L 2 ;       

     R5: The curvature radius of the object side surface of the third lens L 3 ; 
     R6: The curvature radius of the image side surface of the third lens L 3 ; 
     R7: The curvature radius of the object side surface of the fourth lens L 4 ; 
     R8: The curvature radius of the image side surface of the fourth lens L 4 ; 
     R9: The curvature radius of the object side surface of the fifth lens L 5 ; 
     R10: The curvature radius of the image side surface of the fifth lens L 5 ; 
     R11: The curvature radius of the object side surface of the sixth lens L 6 ; 
     R12: The curvature radius of the image side surface of the sixth lens L 6 ; 
     R13: The curvature radius of the object side surface of the optical filter GF; 
     R14: The curvature radius of the image side surface of the optical filter GF; 
     d: The thickness on-axis of the lens and the distance on-axis between the lens; 
     d0: The distance on-axis from aperture S 1  to the object side surface of the first lens L 1 ; 
     d1: The thickness on-axis of the first lens L 1 ; 
     d2: The distance on-axis from the image side surface of the first lens L 1  to the object side surface of the second lens L 2 ; 
     d3: The thickness on-axis of the second lens L 2 ; 
     d4: The distance on-axis from the image side surface of the second lens L 2  to the object side surface of the third lens L 3 ; 
     d5: The thickness on-axis of the third lens L 3 ; 
     d6: The distance on-axis from the image side surface of the third lens L 3  to the object side surface of the fourth lens L 4 ; 
     d7: The thickness on-axis of the fourth lens L 4 ; 
     d8: The distance on-axis from the image side surface of the fourth lens L 4  to the object side surface of the fifth lens L 5 ; 
     d9: The thickness on-axis of the fifth lens L 5 ; 
     d10: The distance on-axis from the image side surface of the fifth lens L 5  to the object side surface of the sixth lens L 6 ; 
     d11 The thickness on-axis of the sixth lens L 6 ; 
     d12: The distance on-axis from the image side surface of the sixth lens L 6  to the object side surface of the optical filter GF; 
     d13: The thickness on-axis of the optical filter GF; 
     d14: The distance on-axis from the image side surface to the image surface of the optical filter GF; 
     nd: The refractive power of the d line; 
     nd1: The refractive power of the d line of the first lens L 1 ; 
     nd2: The refractive power of the d line of the second lens L 2 ; 
     nd3: The refractive power of the d line of the third lens L 3 ; 
     nd4: The refractive power of the d line of the fourth lens L 4 ; 
     nd5: The refractive power of the d line of the fifth lens L 5 ; 
     nd6: The refractive power of the d line of the sixth lens L 6 ; 
     ndg: The refractive power of the d line of the optical filter GF; 
     vd: The abbe number; 
     v1: The abbe number of the first lens L 1 ; 
     v2: The abbe number of the second lens L 2 ; 
     v3: The abbe number of the third lens L 3 ; 
     v4: The abbe number of the fourth lens L 4 ; 
     v5: The abbe number of the fifth lens L 5 ; 
     v6: The abbe number of the sixth lens L 6 ; 
     vg: The abbe number of the optical filter GF. 
     Table 2 shows the aspherical surface data of the camera optical lens  10  in the embodiment 1 of the present invention. 
     
       
         
           
               
               
               
             
               
                   
                 TABLE 2 
               
             
            
               
                   
                   
               
               
                   
                 Conic Index 
                 Aspherical Surface Index 
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                   
                 k 
                 A4 
                 A6 
                 A8 
                 A10 
                 A12 
                 A14 
                 A16 
               
               
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                 R1 
                 1.0908E−01 
                 −0.013273931 
                 −0.004123481 
                 −0.016154393 
                 0.012874901 
                 −0.009590517 
                 0.005341805 
                 −0.00156495 
               
               
                 R2 
                 8.3057E+00 
                 −0.019887574 
                 −0.047914929 
                 0.033152906 
                 0.003979826 
                 −0.012844918 
                 0.004386869 
                 −0.001624811 
               
               
                 R3 
                 3.1173E+00 
                 0.017636272 
                 −0.02864024 
                 0.010855995 
                 0.042259331 
                 −0.026004117 
                 −0.001181017 
                 0.001552463 
               
               
                 R4 
                 −3.3405E+02 
                 −0.026978303 
                 0.016256204 
                 −0.13289862 
                 0.071619944 
                 0.015906124 
                 −0.012895965 
                 0.001413547 
               
               
                 R5 
                 −1.0837E+00 
                 −0.12942552 
                 0.004397699 
                 −0.039526002 
                 −0.033832608 
                 0.087171571 
                 −0.031610737 
                 0.002170912 
               
               
                 R6 
                 −1.0324E+01 
                 −0.016312967 
                 0.043631093 
                 −0.12377733 
                 0.19239081 
                 −0.13076901 
                 0.032511192 
                 0.001555862 
               
               
                 R7 
                 −6.0269E+01 
                 0.002412672 
                 −0.020225455 
                 0.066197566 
                 −0.057139411 
                 −0.002271239 
                 0.025841844 
                 −0.010046787 
               
               
                 R8 
                 −1.9334E+02 
                 0.001240779 
                 −0.071161213 
                 0.12410994 
                 −0.09966686 
                 0.041094905 
                 −0.006645035 
                 6.8205E−05 
               
               
                 R9 
                 −3.0106E+01 
                 0.13586523 
                 −0.28557839 
                 0.39439862 
                 −0.4381572 
                 0.30509599 
                 −0.11604537 
                 0.01786082 
               
               
                 R10 
                 −5.1845E+01 
                 −0.090462736 
                 0.21059454 
                 −0.2631281 
                 0.17438731 
                 −0.065184192 
                 1.27E−02 
                  −9.94E−04 
               
               
                 R11 
                 −1.7235E+01 
                 −0.090462736 
                 0.030968983 
                 −0.003235635 
                 2.07724E−05 
                 4.21E−05 
                 1.99E−06 
                  −9.56E−07 
               
               
                 R12 
                 −5.2253E+00 
                 −0.13742441 
                 0.015455856 
                 −0.002671038 
                 0.000189104 
                 3.14E−06 
                 −6.63E−07 
                  −1.05E−08 
               
               
                   
               
            
           
         
       
     
     Among them, K is a conic index, A4, A6, A8, A10, A12, A14, A16 are aspheric surface indexes. 
     IH: Image height
 
 y =( x   2   /R )/[1+{1−( k+ 1)( x   2   /R   2 )} 1/2 ]+ A 4 x   4   +A 6 x   6   +A 8 x   8   +A 10 x   10   +A 12 x   12   +A 14 x   14   +A 16 x   16   (1)
 
     For convenience, the aspheric surface of each lens surface uses the aspheric surfaces shown in the above condition (1). However, the present invention is not limited to the aspherical polynomials form shown in the condition (1). 
     Table 3 and table 4 show the inflexion points and the arrest point design data of the camera optical lens  10  lens in embodiment 1 of the present invention. In which, P1R1 and P1R2 represent respectively the object side surface and image side surface of the first lens L 1 , P2R1 and P2R2 represent respectively the object side surface and image side surface of the second lens L 2 , P3R1 and P3R2 represent respectively the object side surface and image side surface of the third lens L 3 , P4R1 and P4R2 represent respectively the object side surface and image side surface of the fourth lens L 4 , P5R1 and P5R2 represent respectively the object side surface and image side surface of the fifth lens L 5 , P6R1 and P6R2 represent respectively the object side surface and image side surface of the sixth lens L 6 . The data in the column named “inflexion point position” are the vertical distances from the inflexion points arranged on each lens surface to the optic axis of the camera optical lens  10 . The data in the column named “arrest point position” are the vertical distances from the arrest points arranged on each lens surface to the optic axis of the camera optical lens  10 . 
     
       
         
           
               
               
               
               
             
               
                   
                 TABLE 3 
               
               
                   
                   
               
               
                   
                 Inflexion 
                   
                   
               
               
                   
                 point number 
                 Inflexion point position 1 
                 Inflexion point position 2 
               
               
                   
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
            
               
                 P1R1 
                 1 
                 1.055 
                   
               
               
                 P1R2 
                 1 
                 1.015 
               
               
                 P2R1 
                 1 
                 1.145 
               
               
                 P2R2 
                 2 
                 0.375 
                 1.085 
               
               
                 P3R1 
                 2 
                 0.355 
                 1.015 
               
               
                 P3R2 
               
               
                 P4R1 
                 1 
                 1.015 
               
               
                 P4R2 
                 1 
                 0.945 
               
               
                 P5R1 
                 1 
                 1.415 
               
               
                 P5R2 
               
               
                 P6R1 
                 2 
                 0.395 
                 1.805 
               
               
                 P6R2 
                 1 
                 0.685 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
             
               
                   
                 TABLE 4 
               
               
                   
                   
               
               
                   
                 Arrest 
                   
                   
               
               
                   
                 point number 
                 Arrest point position 1 
                 Arrest point position 2 
               
               
                   
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
            
               
                 P1R1 
                   
                   
                   
               
               
                 P1R2 
               
               
                 P2R1 
               
               
                 P2R2 
                 1 
                 0.585 
               
               
                 P3R1 
                 2 
                 0.605 
                 1.175 
               
               
                 P3R2 
               
               
                 P4R1 
                 1 
                 1.185 
               
               
                 P4R2 
                 1 
                 1.195 
               
               
                 P5R1 
               
               
                 P5R2 
               
               
                 P6R1 
                 1 
                 0.785 
               
               
                 P6R2 
                 1 
                 1.515 
               
               
                   
               
            
           
         
       
     
       FIG. 2  and  FIG. 3  show the longitudinal aberration and lateral color schematic diagrams after light with a wavelength of 486.1 nm, 587.6 nm and 656.3 nm passes the camera optical lens  10  in the first embodiment.  FIG. 4  shows the field curvature and distortion schematic diagrams after light with a wavelength of 587.6 nm passes the camera optical lens  10  in the first embodiment, the field curvature S in  FIG. 4  is a field curvature in the sagittal direction, T is a field curvature in the meridian direction. 
     Table 13 shows the various values of the embodiments 1, 2, 3, and the values corresponding with the parameters which are already specified in the conditions. 
     As shown in Table 13, the first embodiment satisfies the various conditions. 
     In this embodiment, the pupil entering diameter of the camera optical lens is 2.1584 mm, the full vision field image height is 3.512 mm, the vision field angle in the diagonal direction is 78.26°, it has wide-angle and is ultra-thin, its on-axis and off-axis chromatic aberrations are fully corrected, and it has excellent optical characteristics. 
     Embodiment 2 
     Embodiment 2 is basically the same as embodiment 1, the meaning of its symbols is the same as that of embodiment 1, in the following, only the differences are described. 
     Table 5 and table 6 show the design data of the camera optical lens  20  in embodiment 2 of the present invention. 
     
       
         
           
               
               
               
               
               
             
               
                   
                 TABLE 5 
               
               
                   
                   
               
               
                   
                 R 
                 d 
                 nd 
                 νd 
               
               
                   
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 S1 
                 ∞ 
                 d0 = 
                 −0.193 
                   
                   
                   
                   
               
               
                 R1 
                 2.387 
                 d1 = 
                 0.235 
                 nd1 
                 1.4934 
                 ν1 
                 38.00 
               
               
                 R2 
                 3.166 
                 d2 = 
                 0.049 
               
               
                 R3 
                 2.994 
                 d3 = 
                 0.537 
                 nd2 
                 1.5400 
                 ν2 
                 55.90 
               
               
                 R4 
                 14.706 
                 d4 = 
                 0.069 
               
               
                 R5 
                 6.459 
                 d5 = 
                 0.206 
                 nd3 
                 1.6063 
                 ν3 
                 23.50 
               
               
                 R6 
                 3.566 
                 d6 = 
                 0.440 
               
               
                 R7 
                 10.034 
                 d7 = 
                 0.319 
                 nd4 
                 1.9128 
                 ν4 
                 55.80 
               
               
                 R8 
                 −10.682 
                 d8 = 
                 0.552 
               
               
                 R9 
                 −2.542 
                 d9 = 
                 0.307 
                 nd5 
                 1.7094 
                 ν5 
                 21.40 
               
               
                 R10 
                 −3.858 
                 d10 = 
                 0.644 
               
               
                 R11 
                 1.834 
                 d11 = 
                 0.899 
                 nd6 
                 1.5513 
                 ν6 
                 55.70 
               
               
                 R12 
                 1.283437 
                 d12 = 
                 0.526 
               
               
                 R13 
                 ∞ 
                 d13 = 
                 0.210 
                 ndg 
                 1.5168 
                 νg 
                 64.17 
               
               
                 R14 
                 ∞ 
                 d14 = 
                 0.319 
               
               
                   
               
            
           
         
       
     
     Table 6 shows the aspherical surface data of each lens of the camera optical lens  20  in embodiment 2 of the present invention. 
     
       
         
           
               
               
               
             
               
                   
                 TABLE 6 
               
             
            
               
                   
                   
               
               
                   
                 Conic Index 
                 Aspherical Surface Index 
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                   
                 k 
                 A4 
                 A6 
                 A8 
                 A10 
                 A12 
                 A14 
                 A16 
               
               
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                 R1 
                 1.4601E+00 
                 0.000377324 
                 −0.003576735 
                 −0.005763145 
                 0.007387177 
                 −0.008863443 
                 0.002608203 
                 −0.003980022 
               
               
                 R2 
                 6.6610E+00 
                 −0.002145562 
                 −0.032310118 
                 0.037991152 
                 0.010452577 
                 −0.011452943 
                 −0.002137281 
                 −0.013621803 
               
               
                 R3 
                 2.8511E+00 
                 0.006920952 
                 −0.030249633 
                 0.015745197 
                 0.040384591 
                 −0.026826581 
                 −0.002896118 
                 0.000636085 
               
               
                 R4 
                 −1.0638E+02 
                 −0.047471857 
                 0.021982052 
                 −0.12763077 
                 0.072918845 
                 0.023278958 
                 −0.009287534 
                 −0.002974316 
               
               
                 R5 
                 −2.0239E+01 
                 −0.13033508 
                 0.006178068 
                 −0.034151209 
                 −0.023231866 
                 0.087706471 
                 −0.031854931 
                 0.000618918 
               
               
                 R6 
                 −1.5325E+01 
                 −0.057165195 
                 0.034775403 
                 −0.14559231 
                 0.18724488 
                 −0.11915421 
                 0.035433862 
                 −0.002436936 
               
               
                 R7 
                 4.9608E+01 
                 0.025635077 
                 −0.033094188 
                 0.062165995 
                 −0.05930532 
                 −0.003870341 
                 0.025497059 
                 −0.010403734 
               
               
                 R8 
                 −2.5612E+02 
                 0.045159009 
                 −0.059943143 
                 0.12057522 
                 −0.10620309 
                 0.037923276 
                 −0.006927782 
                 0.000898942 
               
               
                 R9 
                 −1.1300E+00 
                 0.19415299 
                 −0.28732929 
                 0.38876932 
                 −0.43525016 
                 0.30662426 
                 −0.11618161 
                 0.017446663 
               
               
                 R10 
                 −9.4572E+01 
                 −0.084971626 
                 0.20851037 
                 −0.26037119 
                 0.17407049 
                 −0.065404837 
                 1.27E−02 
                 −9.84E−04 
               
               
                 R11 
                 −1.4585E+00 
                 −0.084971626 
                 0.029356215 
                 −0.003433336 
                 3.96786E−06 
                 3.87E−05 
                 1.11E−06 
                 −5.52E−07 
               
               
                 R12 
                 −2.7410E+00 
                 −0.13258599 
                 0.016256194 
                 −0.002686997 
                 0.000181068 
                 2.81E−06 
                 −6.21E−07 
                 4.97E−09 
               
               
                   
               
            
           
         
       
     
     Table 7 and table 8 show the inflexion points and the arrest point design data of the camera optical lens  20  lens in embodiment 2 of the present invention. 
     
       
         
           
               
               
               
               
               
             
               
                   
                 TABLE 7 
               
               
                   
                   
               
               
                   
                 Inflexion point 
                 Inflexion point 
                 Inflexion point 
                 Inflexion point 
               
               
                   
                 number 
                 position 1 
                 position 2 
                 position 3 
               
               
                   
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 P1R1 
                 1 
                 0.965 
                   
                   
               
               
                 P1R2 
                 1 
                 0.985 
               
               
                 P2R1 
                 1 
                 1.055 
               
               
                 P2R2 
                 2 
                 0.335 
                 0.985 
               
               
                 P3R1 
                 2 
                 0.305 
                 0.965 
               
               
                 P3R2 
                 2 
                 0.515 
                 1.135 
               
               
                 P4R1 
                 1 
                 0.885 
               
               
                 P4R2 
                 3 
                 0.395 
                 0.975 
                 1.375 
               
               
                 P5R1 
                 1 
                 1.455 
               
               
                 P5R2 
               
               
                 P6R1 
                 1 
                 0.635 
               
               
                 P6R2 
                 1 
                 0.815 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
             
               
                   
                 TABLE 8 
               
               
                   
                   
               
               
                   
                 Arrest 
                   
                   
               
               
                   
                 point number 
                 Arrest point position 1 
                 Arrest point position 2 
               
               
                   
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
            
               
                 P1R1 
                   
                   
                   
               
               
                 P1R2 
               
               
                 P2R1 
               
               
                 P2R2 
                 2 
                 0.535 
                 1.155 
               
               
                 P3R1 
                 2 
                 0.525 
                 1.125 
               
               
                 P3R2 
                 2 
                 0.865 
                 1.235 
               
               
                 P4R1 
                 1 
                 1.085 
               
               
                 P4R2 
                 2 
                 0.695 
                 1.105 
               
               
                 P5R1 
               
               
                 P5R2 
               
               
                 P6R1 
                 1 
                 1.245 
               
               
                 P6R2 
                 1 
                 1.795 
               
               
                   
               
            
           
         
       
     
       FIG. 6  and  FIG. 7  show the longitudinal aberration and lateral color schematic diagrams after light with a wavelength of 486.1 nm, 587.6 nm and 656.3 nm passes the camera optical lens  20  in the second embodiment.  FIG. 8  shows the field curvature and distortion schematic diagrams after light with a wavelength of 587.6 nm passes the camera optical lens  20  in the second embodiment. 
     As shown in Table 13, the second embodiment satisfies the various conditions. 
     In this embodiment, the pupil entering diameter of the camera optical lens is 1.9828 mm, the full vision field image height is 3.512 mm, the vision field angle in the diagonal direction is 80.29°, it has wide-angle and is ultra-thin, its on-axis and off-axis chromatic aberrations are fully corrected, and it has excellent optical characteristics. 
     Embodiment 3 
     Embodiment 3 is basically the same as embodiment 1, the meaning of its symbols is the same as that of embodiment 1, in the following, only the differences are described. 
     Table 9 and table 10 show the design data of the camera optical lens  30  in embodiment 3 of the present invention. 
     
       
         
           
               
               
               
               
               
             
               
                   
                 TABLE 9 
               
               
                   
                   
               
               
                   
                 R 
                 d 
                 nd 
                 νd 
               
               
                   
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 S1 
                 ∞ 
                 d0 = 
                 −0.224 
                   
                   
                   
                   
               
               
                 R1 
                 2.174 
                 d1 = 
                 0.266 
                 nd1 
                 1.6280 
                 ν1 
                 38.00 
               
               
                 R2 
                 3.213 
                 d2 = 
                 0.050 
               
               
                 R3 
                 3.806 
                 d3 = 
                 0.643 
                 nd2 
                 1.4739 
                 ν2 
                 55.90 
               
               
                 R4 
                 15.102 
                 d4 = 
                 0.103 
               
               
                 R5 
                 9.850 
                 d5 = 
                 0.248 
                 nd3 
                 1.5762 
                 ν3 
                 23.50 
               
               
                 R6 
                 5.701 
                 d6 = 
                 0.401 
               
               
                 R7 
                 10.360 
                 d7 = 
                 0.326 
                 nd4 
                 2.0978 
                 ν4 
                 55.80 
               
               
                 R8 
                 −13.941 
                 d8 = 
                 0.492 
               
               
                 R9 
                 −2.261 
                 d9 = 
                 0.326 
                 nd5 
                 2.0994 
                 ν5 
                 21.40 
               
               
                 R10 
                 −2.834 
                 d10 = 
                 0.887 
               
               
                 R11 
                 2.490 
                 d11 = 
                 0.719 
                 nd6 
                 1.6797 
                 ν6 
                 55.70 
               
               
                 R12 
                 1.314718 
                 d12 = 
                 0.492 
               
               
                 R13 
                 ∞ 
                 d13 = 
                 0.210 
                 ndg 
                 1.5168 
                 νg 
                 64.17 
               
               
                 R14 
                 ∞ 
                 d14 = 
                 0.188 
               
               
                   
               
            
           
         
       
     
     Table 10 shows the aspherical surface data of each lens of the camera optical lens  30  in embodiment 3 of the present invention. 
     
       
         
           
               
               
               
             
               
                   
                 TABLE 10 
               
             
            
               
                   
                   
               
               
                   
                 Conic Index 
                 Aspherical Surface Index 
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                   
                 k 
                 A4 
                 A6 
                 A8 
                 A10 
                 A12 
                 A14 
                 A16 
               
               
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                 R1 
                 1.1288E+00 
                 −0.008506335 
                 −0.00651483 
                 −0.009200365 
                 0.006145246 
                 −0.008140678 
                 0.004232052 
                 −0.002693159 
               
               
                 R2 
                 6.2427E+00 
                 −0.000470061 
                 −0.033230587 
                 0.038357493 
                 0.011538845 
                 −0.009606951 
                 0.000126792 
                 −0.011326399 
               
               
                 R3 
                 4.2841E+00 
                 0.012082198 
                 −0.023753751 
                 0.024294915 
                 0.046153404 
                 −0.025495455 
                 −0.004232856 
                 −0.001583495 
               
               
                 R4 
                 −2.8227E+01 
                 −0.075143844 
                 0.013004527 
                 −0.12600217 
                 0.074409901 
                 0.024191536 
                 −0.00885307 
                 −0.002592673 
               
               
                 R5 
                 1.8157E+01 
                 −0.12950266 
                 0.005504332 
                 −0.035507517 
                 −0.023923586 
                 0.087500567 
                 −0.031920635 
                 0.000697478 
               
               
                 R6 
                 −7.8699E+01 
                 −0.032517676 
                 0.039772605 
                 −0.15066102 
                 0.18601392 
                 −0.11899347 
                 0.035676443 
                 −0.002475299 
               
               
                 R7 
                 6.1585E+01 
                 0.028391293 
                 −0.037189236 
                 0.068255863 
                 −0.059447381 
                 −0.005168457 
                 0.025107034 
                 −0.009997536 
               
               
                 R8 
                 −8.2298E+02 
                 0.05749497 
                 −0.060697109 
                 0.11964689 
                 −0.10575996 
                 0.03794662 
                 −0.006979788 
                 0.000826189 
               
               
                 R9 
                 −1.6330E+00 
                 0.20072453 
                 −0.28077264 
                 0.38689094 
                 −0.4354756 
                 0.30696947 
                 −0.11612085 
                 0.0173527 
               
               
                 R10 
                 −3.8004E+01 
                 −0.075572845 
                 0.20925141 
                 −0.26043941 
                 0.17379708 
                 −0.065514086 
                 1.27E−02 
                 −9.67E−04 
               
               
                 R11 
                 −8.5725E−01 
                 −0.075572845 
                 0.029161077 
                 −0.003476363 
                 −1.73989E−05 
                 3.36E−05 
                 8.79E−07 
                 −3.19E−07 
               
               
                 R12 
                 −3.2931E+00 
                 −0.1287904 
                 0.016441515 
                 −0.002740893 
                 0.000176619 
                 2.93E−06 
                 −5.76E−07 
                 4.91E−09 
               
               
                   
               
            
           
         
       
     
     Table 11 and table 12 show the inflexion points and the arrest point design data of the camera optical lens  30  lens in embodiment 3 of the present invention. 
     
       
         
           
               
               
               
               
               
             
               
                   
                 TABLE 11 
               
               
                   
                   
               
               
                   
                 Inflexion point 
                 Inflexion point 
                 Inflexion point 
                 Inflexion point 
               
               
                   
                 number 
                 position 1 
                 position 2 
                 position 3 
               
               
                   
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 P1R1 
                 1 
                 0.995 
                   
                   
               
               
                 P1R2 
                 1 
                 1.015 
               
               
                 P2R1 
                 1 
                 1.065 
               
               
                 P2R2 
                 2 
                 0.275 
                 0.995 
               
               
                 P3R1 
                 2 
                 0.265 
                 0.965 
               
               
                 P3R2 
                 2 
                 0.485 
                 1.135 
               
               
                 P4R1 
                 2 
                 0.915 
                 1.295 
               
               
                 P4R2 
                 3 
                 0.285 
                 1.005 
                 1.425 
               
               
                 P5R1 
                 1 
                 1.465 
               
               
                 P5R2 
               
               
                 P6R1 
                 1 
                 0.565 
               
               
                 P6R2 
                 1 
                 0.785 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
             
               
                   
                 TABLE 12 
               
               
                   
                   
               
               
                   
                 Arrest 
                   
                   
               
               
                   
                 point number 
                 Arrest point position 1 
                 Arrest point position 2 
               
               
                   
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
            
               
                 P1R1 
                   
                   
                   
               
               
                 P1R2 
               
               
                 P2R1 
               
               
                 P2R2 
                 2 
                 0.455 
                 1.165 
               
               
                 P3R1 
                 2 
                 0.445 
                 1.115 
               
               
                 P3R2 
                 2 
                 0.805 
                 1.245 
               
               
                 P4R1 
                 1 
                 1.105 
               
               
                 P4R2 
                 2 
                 0.515 
                 1.185 
               
               
                 P5R1 
               
               
                 P5R2 
               
               
                 P6R1 
                 1 
                 1.085 
               
               
                 P6R2 
                 I 
                 1.765 
               
               
                   
               
            
           
         
       
     
       FIG. 10  and  FIG. 11  show the longitudinal aberration and lateral color schematic diagrams after light with a wavelength of 486.1 nm, 587.6 nm and 656.3 nm passes the camera optical lens  30  in the third embodiment.  FIG. 12  shows the field curvature and distortion schematic diagrams after light with a wavelength of 587.6 nm passes the camera optical lens  30  in the third embodiment. 
     As shown in Table 13, the third embodiment satisfies the various conditions. 
     In this embodiment, the pupil entering diameter of the camera optical lens is 2.0658 mm, the full vision field image height is 3.512 mm, the vision field angle in the diagonal direction is 77.98°, it has wide-angle and is ultra-thin, its on-axis and off-axis chromatic aberrations are fully corrected, and it has excellent optical characteristics. 
     
       
         
           
               
               
               
               
             
               
                   
                 TABLE 13 
               
               
                   
                   
               
               
                   
                 Embodiment 
                 Embodiment 
                   
               
               
                   
                 1 
                 2 
                 Embodiment 3 
               
               
                   
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
            
               
                 f 
                 4.317 
                 4.164 
                 4.338 
               
               
                 f1 
                 5.875 
                 17.881 
                 9.746 
               
               
                 f2 
                 11.005 
                 6.854 
                 10.545 
               
               
                 f3 
                 −8.057 
                 −13.496 
                 −24.010 
               
               
                 f4 
                 8.814 
                 5.710 
                 5.452 
               
               
                 f5 
                 −8.374 
                 −11.630 
                 −14.457 
               
               
                 f6 
                 54.310 
                 −18.471 
                 −5.446 
               
               
                 f12 
                 3.908 
                 5.066 
                 5.158 
               
               
                 (R1 + R2)/(R1 − R2) 
                 −2.829 
                 −7.128 
                 −5.186 
               
               
                 (R3 + R4)/(R3 − R4) 
                 −1.862 
                 −1.511 
                 −1.674 
               
               
                 (R5 + R6)/(R5 − R6) 
                 2.977 
                 3.466 
                 3.748 
               
               
                 (R7 + R8)/(R7 − R8) 
                 −0.410 
                 −0.031 
                 −0.147 
               
               
                 (R9 + R10)/(R9 − R10) 
                 −2.126 
                 −4.863 
                 −8.877 
               
               
                 (R11 + R12)/(R11 − R12) 
                 11.285 
                 5.662 
                 3.237 
               
               
                 f1/f 
                 1.361 
                 4.294 
                 2.247 
               
               
                 f2/f 
                 2.549 
                 1.646 
                 2.431 
               
               
                 f3/f 
                 −1.866 
                 −3.241 
                 −5.535 
               
               
                 f4/f 
                 2.042 
                 1.371 
                 1.257 
               
               
                 f5/f 
                 −1.940 
                 −2.793 
                 −3.332 
               
               
                 f6/f 
                 12.581 
                 −4.436 
                 −1.255 
               
               
                 f12/f 
                 0.905 
                 1.217 
                 1.189 
               
               
                 d1 
                 0.398 
                 0.235 
                 0.266 
               
               
                 d3 
                 0.572 
                 0.537 
                 0.643 
               
               
                 d5 
                 0.212 
                 0.206 
                 0.248 
               
               
                 d7 
                 0.598 
                 0.319 
                 0.326 
               
               
                 d9 
                 0.428 
                 0.307 
                 0.326 
               
               
                 d11 
                 1.106 
                 0.899 
                 0.719 
               
               
                 Fno 
                 2.000 
                 2.100 
                 2.100 
               
               
                 TTL 
                 5.301 
                 5.313 
                 5.351 
               
               
                 d1/TTL 
                 0.075 
                 0.044 
                 0.050 
               
               
                 d3/TTL 
                 0.108 
                 0.101 
                 0.120 
               
               
                 d5/TTL 
                 0.040 
                 0.039 
                 0.046 
               
               
                 d7/TTL 
                 0.113 
                 0.060 
                 0.061 
               
               
                 d9/TTL 
                 0.081 
                 0.058 
                 0.061 
               
               
                 d11/TTL 
                 0.209 
                 0.169 
                 0.134 
               
               
                 n1 
                 1.6030 
                 1.4934 
                 1.6280 
               
               
                 n2 
                 1.5440 
                 1.5400 
                 1.4739 
               
               
                 n3 
                 1.6390 
                 1.6063 
                 1.5762 
               
               
                 n4 
                 1.7126 
                 1.9128 
                 2.0978 
               
               
                 n5 
                 1.7000 
                 1.7094 
                 2.0994 
               
               
                 n6 
                 1.5350 
                 1.5513 
                 1.6797 
               
               
                 v1 
                 38.0000 
                 38.0000 
                 38.0000 
               
               
                 v2 
                 55.9000 
                 55.9000 
                 55.9000 
               
               
                 v3 
                 23.5000 
                 23.5000 
                 23.5000 
               
               
                 v4 
                 55.8000 
                 55.8000 
                 55.8000 
               
               
                 v5 
                 21.4000 
                 21.4000 
                 21.4000 
               
               
                 v6 
                 55.7000 
                 55.7000 
                 55.7000 
               
               
                   
               
            
           
         
       
     
     It is to be understood, however, that even though numerous characteristics and advantages of the present exemplary embodiments have been set forth in the foregoing description, together with details of the structures and functions of the embodiments, the disclosure is illustrative only, and changes may be made in detail, especially in matters of shape, size, and arrangement of parts within the principles of the invention to the full extent indicated by the broad general meaning of the terms where the appended claims are expressed.