Abstract:
For small type wide angle lenses for use with a compact camera, so-called inverted retrofocus lenses are often used. In this type of lens, the lens can be formed into more compact by increasing a refracting power of a rear unit of a negative meniscus with a convex surface thereof greatly curved toward an image and a front unit on the side of an object. However, this arrangement gives rise to an aberration. This aberration can be compensated by introducing at least one aspherical surface into the front unit and rear unit. In addition, this aspherical lens can be easily produced if it is formed of plastics.

Description:
BACKGROUND OF THE INVENTION 
     1. Field of the Invention 
     This invention relates to a wide angle photogrphic lens, and more particularly to a compact lens whose telephoto ratio is 0.96 and a half angle of view is above about 35°. 
     2. Description of the Prior Art 
     For use with so-called compact cameras, an attempt has been made for development of lenses of the type in which a retrofocus type used as a wide angle lens is inverted so as to provide a photographic lens in the form of a wide angle and of a small telephoto ratio. 
     Of lenses of this kind, there are many lenses composed of four groups or five groups having, as a rear unit, a negative meniscus lens with a convex surface thereof greatly curved toward an image. Among these lenses, a wide angle lens of small telephoto ratio, which is simple in construction and which consists of a front unit comprising a convex, a concave and a convex and a rear unit with a surface greatly curved toward an image, has an angle of view smaller than 32°, and if this wide angle lens is used, for example, for a 35 mm lens shutter camera, focal length was more or less 35 mm. This wide angle lens has a telephoto ratio of about 1, and even if an aspherical surface is introduced therein, the telephoto ratio is above 0.95. Where a 35 mm camera is used, it has been difficult to make a length from the front end of the lens to a film surface less than 30 mm. 
     For example, the lens disclosed in Japanese Patent Application Laid-Open No. 73014/80 has a telephoto ratio of about 1 and an angle of view of about 31.5°, and the lens disclosed in Japanese Patent Application Laid-Open No. 94317/81 has an angle of view of about 30°. Japanese Patent Application Laid-Open No. 85410/83 disclose a compact construction but has F number of 4.5-5.6 which is dark and an angle of view of 30.7°. Japanese Patent Application Laid-Open No. 59217/81 discloses one in which an aspherical surface is introduced into a post-group lens, which has an angle of view of 31.5° and a telephoto ratio is above 0.95. 
     Japanese Patent Application Laid-Open Nos. 133711/81, 95207/81, 1117/83, 62608/83, 44016/84, etc. have been known which provide a five-group construction. Any of these patent applications have an angle of view smaller than 64°. The lens disclosed in Japanese Patent Application Laid-Open No. 219509/83 has an angle of view of 39° but a telephoto ratio is great, i.e., 1.1, which is not sufficient to form the lens into compactness. 
     Japanese Patent Application Laid-Open Nos. 75612/81, 94317/81 and 57106/83 have been known which provide a four-group construction and in which a negative meniscus lens gratly curved in the post-group is made of resin. However, an easily processed resin lens has a disadvantage that a change in refractive index due to a change in temperature is great therby posing a problem that backfocus is varied. This disadvantage becomes remarkable if a power of a negative lens is increased to reduce the overall length of lens. As an example, there is disclosed Japanese Patent Application Laid-Open No. 44016/84 in which a resin lens having no power if formed into an aspherical surface in order to eliminate the aforesaid disadvantage. However, this proposal has a limitation in the design of lens. 
     SUMMARY OF THE INVENTION 
     It is an object of this invention to provide, in a so-called inverted retrofocus type lens, a wide angle lens in which aspherical surfaces are introduced into a front unit and a rear unit to thereby obtain a half angle of view of 35° and a telephoto ratio of 0.96 or less. 
     It is another object of the invention to provide a lens in which a lens into which an aspherical surface is introduced comprises an easily processed resin lens while minimizing the influence by change in temperature. 
     In accordance with the present invention, there is provided a wide angle lens comprising a lens system which is composed of, from an object side, a front unit comprising a positive lens L 1 , a negative lens L 2  and a positive lens L 3  and a rear unit comprising a negative meniscus L 4  with a convex surface thereof greatly curved toward an image, wherein at least one of refractive surfaces of the lens L 3  and at least one surface of the fourth lens are formed into an aspherical surface, and wherein the following conditions are satisfied: 
     
         0.45&lt;f/|f.sub.4 |&lt;2.5 f.sub.4 &lt;0         (1) 
    
     
         1.7&lt;N.sub.2                                                ( 2) 
    
     where 
     f 4  : focal length of the fourth lens L 4   
     N 2  : refractive index of a glass material of the second lens L 2 . 
     It will be noted that the aforesaid third positive lens L 3  can be of a single lens or a cemented lens composed of a positive lens and a negative lens, and or can be composed of two positive lenses L 31  and L 32 . 
     If an aspherical shape is expressed by ##EQU1## the amount of displacement due to the aspherical surface is given by the following with respect to the j surface: ##EQU2## C*=C+2A 2  (paraxial curvature) φ: height from an optical axis 
     Preferably, the following conditions are satisfied: Where an aspherical surface is introduced into each lens surface, in the surface of the first lens on the object side, 
     
         -0.5×10.sup.-2 &lt;ΔX(0.13f)/f&lt;-0.1×10.sup.-4 ( 3) 
    
     where it is introduced into an image side of the first lens, 
     
         0.1×10.sup.-4 &lt;ΔX(0.13f)/f&lt;0.1×10.sup.-1 ( 4), 
    
     in case of the object side of the second lens, 
     
         -0.5×10.sup.-2 &lt;ΔX(0.1f)/f&lt;-0.1×10.sup.-4 ( 5), 
    
     in case of the image side of the second lens, 
     
         0.1×10.sup.-4 &lt;ΔX(0.1f)/f&lt;0.5×10.sup.-2  ( 6), 
    
     in case of the object side of the third lens, 
     
         -0.5×10.sup.-2 &lt;ΔX(0.1f)/f&lt;-0.1×10.sup.-4 ( 7), 
    
     in case of the image side of the third lens, 
     
         0.1×10.sup.-4 &lt;ΔX(0.1f)/f&lt;0.5×10.sup.-2  ( 8), 
    
     in case of the concave surface on the object side of the fourth lens, 
     
         0.5×10.sup.-3 &lt;ΔX(0.13f)/f&lt;0.3                 (9), 
    
     in case of the convex surface on the image side of the fourth lens, 
     
         -0.5×10.sup.-1 &lt;ΔX(0.14f)/f&lt;-0.1×10.sup.-4 ( 10), 
    
     and where both surfaces of the fourth lens are formed into an aspherical surface, the object side is 
     
         0.1×10.sup.-1 &lt;ΔX(0.13f)/f&lt;0.3                 (11) 
    
     and the image side is 
     
         0.3×10.sup.-3 &lt;ΔX(0.14f)/f&lt;0.3×10.sup.-1 ( 12) 
    
     It will be of course noted that the aspherical surface is not limited to a respective one surface of the front unit and rear unit but it can be introduced into surfaces more than three in total. In this case, a problem is present in respect of a total of an amount of displacement of the front unit and rear unit from the respective spherical surfaces. 
     Where the third positive lens L 3  is a single lens or a cemented lens, the following conditions are satisfied: for the first to the third lenses, 
     
         -0.5×10.sup.-2 f&lt;ΔX.sub.1 (0.13f)+ΔX.sub.3 (0.1f)+ΔX.sub.5 (0.1f)-ΔX.sub.2 (0.13f)-ΔX.sub.4 (0.1f)-ΔX.sub.6 (0.1f)&lt;-0.1×10.sup.-4 f       (13) 
    
     and for the fourth group, 
     
         0.1×10.sup.-3 f&lt;ΔX.sub.7 (0.13f)-ΔX.sub.8 (0.14f)&lt;0.3f (14) 
    
     More favorably, there is satisfied with the following condition: 
     
         1.15&lt;f/f.sub.1.2.3 &lt;2.0                                    (15) 
    
     f 1 .2.3 : combined focal length of the front unit. 
     Where the third lens L 3  is composed of two positive lenses L 31  and L 32 , there is satisfied with the following conditions, with resepct to these lenses L 31  and L 32 , ##EQU3## and with respect to the rear unit ##EQU4## 
     Where either of the positive lenses L 31  and L 32  and the negative meniscus lens L 4  are made to comprise resin lenses, the following condition is satisfied: 
     
         0.5&lt;f.sub.Lp /|f.sub.4 |&lt;5.0             (18) 
    
     where f Lp  is the focal length of L 31  or L 32  formed of resin. 
     In the wide angle lens wherein the front unit comprises a construction composed of positive, negative, positive and the rear unit comprises a negative meniscus lens greatly curved toward the image, the positive refracting power of the front unit and the negative refracting power of the rear unit need be increased if the telephoto ratio is desired to be further reduced. However, if the refracting power of the front unit is increased, spherical aberration is short in compensation to generate an outwardly directed comatic flare, and an image surface curve is short in compensation and a distortion aberration becomes a bobbin shape. Further, if the refracting power of the rear unit is increased, an outwardly directed comatic flare is generated to increase the distortion aberration of the bobbin type. 
     The condition (1) is concerned with the negative refracting power of the fourth lens L 4  which belongs to the rear unit. When the value exceed the lower limit, movement of a main point on the image side forwardly of the lens reduces and the telephoto ratio increases. Conversely, when the value exceeds the upper limit, the image surface curve becomes excessively compensated as described above, and occurrence of the outwardly directed coma and bobbin type distortion aberration is remarkable. 
     The condition (2) is provided to keep Petzval&#39;s sum adequate. In general, it has a tendency in the compact lens that the Petzval&#39;s sum becomes excessively small. Because of this, the refractive index of the second lens L 2  which is a negative lens is taken within the range of this condition whereby the image surface curve may be restrained within a suitable range. 
     The refracting powers of the front unit and rear unit are increased, as described above, and the aspherical shapes are introduced to compensate various aberrations generated accordingly because the refracting power of the lens composed of positive, negative and positive in the front unit is too great to compensate the concave lens of the rear unit. Therefore, a surface having a convex power preferably comprises a modified ashperical surface in the shape whose curvature becomes gentler than a parent spherical surface due to the paraxial curvature as it moves away from an optical axis whereas a surface having a concave power preferably comprises a modified aspherical surface in the shape whose curvature becomes sharper than a parent spherical surface due to the paraxial curvature as it moves away from an optical axis. 
     The conditions (3) to (8) are concerned with such modified spherical surfaces as described above. 
     The condition (3) is provided to compensate a spherical aberration short in compensation, to compensate distortion aberrations of the outwardly directed coma and the bobbin type, and to compensate the image surface curve toward the over side. 
     The condition (4) is provided to show that outside the optical axis, a refracting surface is deformed from a parent spherical surface toward an image to compensate the spherical aberration and the short in compensation of the image surface curve. 
     The condition (5) is provided to show that outside the optical axis, a refracting surface is deformed toward an object, similarly to the condition (3), to thereby reduce the outwardly directed coma generated in the front unit and to minimize also the spherical aberration and bobbin type distortion aberration. 
     The condition (6) is provided for deformation similar to that of the condition (4), which is effective mainly for compensation of spherical aberration and image surface curve. 
     The condition (7) is similar in deforming direction and effect of an aspherical surface to those of the condition (5). 
     The condition (8) is provided to show that outside that optical axis, a refracting surface is deformed toward an image relative to a paraxial parent spherical surface to reduce the outwardly directed coma, and also reduce a spherical aberration and a bobbin type distortion aberration. 
     Of threshold values of the above-described conditions, the lower limit for positives and the upper limit for negatives are the limits at which effects of formation of aspherical surface are produced, and the upper limit for positives and the lower limit for negatives are the limits at which aspherical deformation is not excessively great, resulting in surplus compensation. 
     As clearly shown in a light path of FIG. 1, a portion A of edge light fluxes is incident upon external portions of convex, concave and convex lenses with formation of lens into wider angle, and occurrence of aberrations at said portions is remarkable. This can be compensated by the introduction of aspherical surfaces in the aforementioned conditions (3) to (8). On the other hand, a portion B of light fluxes passes through a high position outside the fourth lens, and occurrence of aberrations at sid portion is remarkable. The conditions of formation into aspherical surface to cope with the just-mentioned state are as in the conditions (9) to (12). 
     The condition (9) is provided to show that the curvature of the refracting surface is made gentle relative to the parent spherical surface outside the axis whereby the aforesaid outwardly directed coma and bobbin type distortion aberration may be reduced. 
     The condition (10) is provided to show that movement of an aspherical surface from the parent spherical surface outside the axis is made so as to make a curvature sharp whereby an inwardly directed coma is greatly produced as compared with the parent spherical surface, and as a consequence, an outwardly directed coma in the entire lens system is reduced. Also in the distortion aberration, a great barrel type aberration is produced at said surface, as a consequence of which a bobbin type distortion aberration in the entire system is reduced. 
     In these conditions (9) and (10), the lower limit of the condition (9) and the upper limit of the condition (10) are the limits at which compensation effect due to the ashperical surface is obtained, and the upper limit of the condition (9) and the lower limit of the condition (10) are the limits at which surplus compensation is not effected. 
     While the aforesaid limits are provided in case where one surface in the front unit and one surface in the rear unit are formed into ashperical surfaces, it should be noted that the aforesaid limits are not limited thereto but more than three surfaces in both front unit and rear unit can be formed into aspherical surfaces. In such a case, it will suffice that the above-described effects are brought forth by the total of effects obtained by the formation of ashperical surfaces, and therefore, directions of displacement of ashperical surfaces of individual surfaces are sometimes different from those of the conditions (3) to (10). 
     The condition (18) is provided to control the total of displacement of aspherical surfaces in the front unit in the case as described above, and the condition (14) is provided to control the total of displacement in the rear unit. The upper limit of the condition (13) and the lower limit of the condition (14) are the limits at which compensation effect can be expected, and conversely, the lower limit and the upper limit are the limits at which displacement becomes excessively large to produce no excessive aspherical effect. 
     Where both surfaces of the fourth group lens are formed into aspherical surfaces under the condition (14), the conditions (11) and (12) are preferably satisfied. The condition (12) is concerned with, along with the condition (11), the displacement in a direction at which both the surfaces of the fourth group lens are gentler in curvature outside the axis than that of the parent spherical surface, which is a displacement in a direction opposite to that of the condition (10). This arrangement is provided to make a comatic aberratin flat at an angle of view above 28°. A large displacement of an aspherical surface of a surface on the object side is employed under the condition (11), and this enables a comatic aberration flat but in this case, an image surface curve is short in compensation and a bobbin type distortion aberration increases. However, the image side surface can be formed into an aspherical surface as in the condition (12 to thereby compensate the image surface curve and bobbin type distortion aberration. 
     The condition (15) is provided to increase the refracting power of the front unit to reduce the telephoto ratio. If the value exceeds the lower limit, the aforesaid effect is not obtained, and if the value exceed the upper limit, short in compensation of spherical aberration, bobbin type distortion aberration and great outwardly directed coma occur, leading to a difficulty in compensation even by the formation of aspherical surfaces. 
     The condition (16) is provided so that where the third positive lens L 3  is composed of two positive lenses L 31  and L 32 , the positive lenses L 31  and L 32  are formed into aspherical surfaces to compensate the aforementioned various aberrations. In surfaces of these lenses on the object side, an aspherical shape is employed which is displaced toward the object than a surface of a paraxial radius of curvature as it moves from a center of an optical axis toward an edge whereby a tendency occurs which compensates various aberrations produced in the front unit. In a surface on the image side, the provision of an aspherical shape displaced toward an image than a surface of a paraxial radius of curvature compensates various aberrations. 
     The condition (17) is concerned with an aspherical shape of a negative meniscus lens L 5  in the rear unit. In the object side, an aspherical shape displaced toward an image from a surface of a paraxial radius of curvature as it moves from a center of an optical axis to an edge reduces an outwardly directed coma to minimize a bobbin type distortion aberration. Similarly, in an image side, displacement toward an object than a surface of a paraxial radius of curvature compensates the aforesaid aberration. 
     The aforementioned effects are not required independently with respect to individual surfaces as will be apparent from the conditions (16) and (17). Where a single aspherical surface is present, the aforementioned description is applied, but where a plurality of surfaces are formed into aspherical surfaces, a surface which principally contributes to compensation of aberrations is displaced as described above but a surface which auxiliarily contributes to compensation of aberrations is often displaced reversely thereto. However, the arrangement within the range of the conditions (16) and (17) as a whole will suffice. 
     The upper limit of the condition (16) and the lower limit of the condition (17) are the limits at which aberration compensation by deformation of an aspherical surface is effectively effected, and the lower limit of the condition (16) and the upper limit of the condition (17) are the conditions under which surplus compensation is avoided. 
     In a lens system in which the third lens L 3  is composed of two positive lenses L 31  and L 32 , either one of the positive lenses L 31 , L 32  in the ante-group and the negative lens L 4  in the rear unit can be of the resin lenses. As previously mentioned, in the resin lenses, backfocus changes by the change in refractive index resulting from the change in temperature, which poses a problem when they are used for a camera. 
     On the other hand, if both positive and negative lenses are formed of resins, the influence by the change in temperature can be mutually offset. This invention provides an arrangement wherein the positive lens L 31  or L 32  and the negative lens L 4  are formed of resins but the positive lens L 31  or L 32  is smaller in power than that of the negative lens L 4  but is positioned frontwardly of the negative lens L 4 , whereby variation of backfocus resulting from the change in temperature by the negative lens L 4  can be restrained. 
     The condition (18) is provided to show the range in which such variation of backfocus can be offset. 
    
    
     BRIEF DESCRIPTION OF THE DRAWINGS 
     FIG. 1 is a view showing a light path of lenses according to the present invention; 
     FIGS. 2 to 22 illustrate embodiments 1 to 21 in which a third positive lens L 3  comprises a single lens or a cemented lens; and 
     FIGS. 23 to 33 illustrate embodiments 22 to 32 in whcih a third positive lens L 3  comprises two positive lenses L 31  and L 32 . In these drawings, (A) denotes a sectional view of a lens and (B) denotes various aberrations thereof. 
    
    
     DETAILED DESCRIPTION OF EMBODIMENTS 
     Embodiments of a lens system according to the present invention will be described hereinafter. 
     Embodiments 1 to 21 illustrate examples wherein a third lens L 3  comprises a single lens or a cemented lens. Embodiments 1 to 8 and embodiments 9 to 10 illustrate examples which use two aspherical surfaces and three aspherical surfaces, respectively. Among them, in the embodiment 8, a third lens comprises a cemented lens for achromatism. 
     Embodiments 13, 15 and 18 to 21 includes some examples in which the displacement direction of the surface is not in accordance with the conditions (6) to (13) since aspherical surfaces are introduced into three surfaces. Among them, embodiments 18 to 21 are in accordance with the conditions (14) and (15). 
     In tables, R designates the radius of curvature; D, the spacing between refracting surfaces; N, the refractive index, ν, the Abbe number; W, the angle of view; f B , the back-focus; K, the conical constant; A, the coefficient of an aspherical surface; and ΣD, the overall length of lens. 
     Embodiment 1 
     
         ______________________________________f = 100 W = 35.6° F 4.0______________________________________    R        D          N     ν______________________________________1        26.826   9.33       1.62280                              57.02        111.880  3.333        -95.275  2.67       1.84666                              23.94        45.833   3.005        54.366   5.67       1.59270                              35.36        -50.903  22.747        -14.991  3.33       1.69680                              55.58        -18.930______________________________________Aspherical surface: 1           ΔX.sub.1 (0.13f)/f = -0.3847 × 10.sup.-3______________________________________K = 0.0A1 = 6.65277D-04           P1 = 2.0000A2 = -2.42299D-07           P2 = 4.0000A3 = 4.24465D-10           P3 = 5.0000A4 = -7.61811D-10           P4 = 6.0000A5 = -2.55577D-11           P5 = 7.0000A6 = -5.76347D-13           P6 = 8.0000A7 = -1.10042D-14           P7 = 9.0000A8 = -1.92674D-16           P8 = 10.0000______________________________________Aspherical surface: 8           ΔX.sub.8 (0.14f)/f = -0.3082 × 10.sup.-2______________________________________K = 0.0A1 = 2.50649D-03           P1 = 2.0000A2 =  -6.34509D-06           P2 = 4.0000A3 = 8.66364D-07           P3 = 5.0000A4 = -2.78035D-08           P4 = 6.0000A5 = -2.07165D-10           P5 = 7.0000A6 = 2.17422D-12           P6 = 8.0000A7 = 7.11934D-13           P7 = 9.0000A8 = 1.13497D-14           P8 = 10.0000______________________________________f.sub.1.2.3 = 65.67           ΣD = 50.07f.sub.4 = -98.79           Telephoto ratio = 0.9269f.sub.B = 42.62______________________________________ 
    
     Embodiment 2 
     
         ______________________________________f = 100 W = 35.6° F 4.0______________________________________    R         D         N     ν______________________________________1        25.387    9.33      1.62280                              57.02        44.798    3.333        -118.415  2.67      1.84666                              23.94        45.426    3.005        55.596    5.67      1.59270                              35.36        -59.948   22.757        -14.933   3.33      1.69680                              55.58        -18.723______________________________________Aspherical surface: 2           ΔX.sub.2 (0.13f)/f = 0.7589 × 10.sup.-3______________________________________K = 0.0A1 = -5.57204D-03           P1 = 2.0000A2 = 1.98838D-06           P2 = 4.0000A3 = -6.33022D-08           P3 = 5.0000A4 = 5.57988D-10           P4 = 6.0000A5 = 3.93575D-11           P5 = 7.0000A6 = 9.57151D-13           P6 = 8.0000A7 = 1.75406D-14           P7 = 9.0000A8 = 2.80037D-16           P8 = 10.0000______________________________________Aspherical surface: 8           ΔX.sub.8 (0.14f)/f = -0.3020 × 10.sup.-2______________________________________K = 0.0A1 = 2.39772D-03           β; = 2.0000A2 = -6.27124D-06           P2 = 4.0000A3 = 8.70726D-07           P3 = 5.0000A4 = -2.75923D-08           P4 = 6.0000A5 = -2.01539D-10           P5 = 7.0000A6 = 2.29204D-12           P6 = 8.0000A7 = 7.14090D-13           P7 = 9.0000A8 = 1.13852D-14           P8 = 10.0000______________________________________f.sub.1.2.3 = 66.48           ΣD = 50.08f.sub.4 = -103.30           Telephoto ratio = 0.9270f.sub.B = 42.62______________________________________ 
    
     Embodiment 3 
     
         ______________________________________f = 100 W = 35.5° F 4.0______________________________________    R        D          N     ν______________________________________1        22.778   9.33       1.62280                              57.02        48.590   3.333        30.540   2.67       1.84666                              23.94        40.528   3.005        43.424   5.67       1.59270                              35.36        -37.816  18.407        -17.458  3.33       1.69680                              55.58        -23.851______________________________________Aspherical surface: 3           ΔX.sub.3 (0.1f)/f = -0.6483 × 10.sup.-3______________________________________K = 0.0A1 = -2.12847D-02           P1 = 2.0000A2 = -1.30628D-05           P2 = 4.0000A3 = 2.36300D-07           P3 = 5.0000A4 = 1.68427D-08           P4 = 6.0000A5 = -2.87031D-09           P5 = 7.0000A6 = 1.92758D-11           P6 = 8.0000A7 = 3.38873D-12           P7 = 9.0000A8 = 1.11824D-13           P8 = 10.0000______________________________________Asphrical surface: 8           ΔX.sub.9 (0.14f)/f = -0.1117 × 10.sup.-2______________________________________K = 0.0A1 = 2.91382D-03           P1 = 2.0000A2 = -3.21450D-06           P2 =  4.0000A3 = 6.97411D-07           P3 = 5.0000A4 = -3.00678D-08           P4 = 6.0000A5 = -6.84978D-11           P5 = 7.0000A6 = 1.08261D-11           P6 = 8.0000A7 = 1.00543D-12           P7 = 9.0000A8 = 1.90681D-14           P8 = 10.0000______________________________________f.sub.1.2.3 = 59.56           ΣD = 45.73f.sub.4 = -78.21           Telephoto ratio = 0.9270f.sub.B = 46.97______________________________________ 
    
     Embodiment 4 
     
         ______________________________________f = 100 W = 24.4° F 4.0______________________________________    R         D         N     ν______________________________________1        23.314    9.33      1.62280                              57.02        66.942    3.333        -115.005  2.67      1.84666                              23.94        36.535    3.005        56.237    5.67      1.59270                              35.36        -49.885   18.627        -15.016   3.33      1.69680                              55.58        -19.209______________________________________Aspherical surface: 4           ΔX.sub.4 (0.1f)/f = 0.3594 × 10.sup.-3______________________________________K = 0.0A1 = -2.48961D-03           P1 = 2.0000A2 = 1.76988D-06           P2 = 4.0000A3 = 5.84745D-08           P3 = 5.0000A4 = 2.19216D-10           P4 = 6.0000A5 = -5.40366D-12           P5 = 7.0000A6 = -1.34142D-13           P6 = 8.0000A7 = -1.99220D-15           P7 = 9.0000A8 = -2.43082D-17           P8 = 10.0000______________________________________Aspherical surface: 8           ΔX.sub.8 (0.14f)/f = -0.2343 × 10.sup.-2______________________________________K = 0.0A1 = 2.01914D-03           P1 = 2.0000A2 = -3.57968D- 06           P2 = 4.0000A3 = 7.32965D-07           P3 = 5.0000A4 = -3.33395D-08           P4 = 6.0000A5 = -2.11258D-10           P5 = 7.0000A6 = 7.11969D-12           P6 = 8.0000A7 = 9.29020D-13           P7 = 9.0000A8 = 1.77127D-14           P8 = 10.0000______________________________________f.sub.1.2.3 = 64.38           ΣD = 45.95f.sub.4 = -101.08           Telephoto ratio = 0.9265f.sub.B = 46.70______________________________________ 
    
     Embodiment 5 
     
         ______________________________________f = 100 W = 35.7° F 40______________________________________    R         D         N     ν______________________________________1        23.512    9.33      1.62280                              57.02        69.610    3.333        -101.022  2.67      1.84666                              23.94        48.977    3.005        57.321    5.67      1.59270                              35.36        -47.562   18.917        -15.594   3.33      1.69680                              55.58        -19.700______________________________________Aspherical surface: 5           ΔX.sub.5 (0.1f)/f = -0.5234 × 10.sup.-3______________________________________K = 0.0A1 = -9.59778D-04           P1 = 2.0000A2 = -5.64421D-06           P2 = 4.0000A3 = 1.47998D-08           P3 = 5.0000A4 = 5.45863D-10           P4 = 6.0000A5 = 6.87770D-12           P5 = 7.0000A6 = 6.77105D-14           P6 = 8.0000A7 = 5.88262D-16           P7 = 9.0000A8 = 4.69128D-18           P8 = 10.0000______________________________________Aspherical surface: 8           ΔX.sub.8 (0.14f)/f = -0.2169 × 10.sup.-2______________________________________K = 0.0A1 = 2.42989D-03           P1 = 2.0000A2 = -3.87979D-06           P2 = 4.0000A3 = 8.02987D-07           P3 = 5.0000A4 = -3.21202D-08           P4 = 6.0000A5 = -2.05100D-10           P5 = 7.0000A6 = 6.81212D-12           P6 = 8.0000A7 = 9.15937D-13           P7 = 9.0000A8 = 1.73678D-14           P8 = 10.0000______________________________________f.sub.1.2.3 = 64.63           ΣD = 46.24f.sub.4 = -101.10           Telephoto ratio = 0.9270f.sub.B = 46.46______________________________________ 
    
     Embodiment 6 
     
         ______________________________________f = 100 W = 35.6° F 4.0______________________________________    R        D          N     ν______________________________________1        23.529   9.33       1.62280                              57.02        66.399   3.333        -96.597  2.67       1.84666                              23.94        49.246   3.005        55.134   5.67       1.59270                              35.36        -46.736  19.487        -16.149  3.33       1.69680                              55.58        -20.838______________________________________Aspherical surface: 5           ΔX.sub.5 (0.1f)/f = -0.5681 × 10.sup.-3______________________________________K = 0.0A1 = -7.21411D-04           P1 = 2.0000A2 = -6.09173D-06           P2 = 4.0000A3 = 1.72427D-08           P3 = 5.0000A4 = 6.12968D-10           P4 = 6.0000A5 = 7.88608D-12           P5 = 7.0000A6 = 8.14185D-14           P6 = 8.0000A7 = 7.64055D-16           P7 = 9.0000A8 6.83360D-18  P8 = 10.0000______________________________________Aspherical surface: 7           ΔX.sub.7 (0.13f)/f = 0.5235 × 10.sup.-2______________________________________K = 0.0A1 = -2.56164D-03           P1 = 2.0000A2 = -1.71989D-06           P2 =  4.0000A3 = -6.88711D-08           P3 = 5.0000A4 = -7.55129D-10           P4 = 6.0000A5 = -6.79709D-12           P5 = 7.0000A6 = -6.32490D-14           P6 = 8.0000A7 = -7.17730D-16           P7 = 9.0000A8 = -1.24750D-17           P8 = 10.0000______________________________________f.sub.1.2.3 = 64.08           ΣD = 46.81f.sub.4 = -97.95           Telephoto ratio = 0.9272f.sub.B = 45.91______________________________________ 
    
     Embodiment 7 
     
         ______________________________________f = 100 W = 35.7° F 4.0______________________________________    R        D          N     ν______________________________________1        24.967   9.33       1.62280                              57.02        73.358   3.333        -81.702  2.67       1.84666                              23.94        52.896   3.005        51.170   5.67       1.59270                              35.36        -36.000  22.207        -16.128  3.33       1.69680                              55.58        -20.919______________________________________Aspherical surface: 6           ΔX.sub.6 (0.1f)/f = 0.4116 × 10.sup.-3______________________________________K = 0.0A1 = 3.47895D-03           P1 = 2.0000A2 = 8.45750D-06           P2 = 4.0000A3 = -2.95562D-07           P3 = 5.0000A4 = 1.52616D-09           P4 = 6.0000A5 = 8.02617D-11           P5 = 7.0000A6 = 1.37894D-12           P6 = 8.0000A7 = 1.78975D-14           P7 = 9.0000A8 = 2.02767D-16           P8 = 10.0000______________________________________Aspherical surface: 8           ΔX.sub.8 (0.14f)/f = -0.1997 × 10.sup.-2______________________________________K = 0.0A1 = 2.56464D-03           P1 = 2.0000A2 = -5.06717D-06           P2 =  4.0000A3 = 8.33672D-07           P3 = 5.0000A4 = -2.90143D-08           P4 = 6.0000A5 = -2.33228D-10           P5 = 7.0000A6 = 1.77498D-12           P6 = 8.0000A7 = 7.08209D-13           P7 = 9.0000A8 = 1.13688D-14           P8 = 10.0000______________________________________f.sub.1.2.3 = 64.21           ΣD = 49.53f.sub.4 = -91.38           Telephoto ratio: 0.9271f.sub.B = 43.18______________________________________ 
    
     Embodiment 8 
     
         ______________________________________f = 100 W = 35.7° F 4.0______________________________________    R        D          N     ν______________________________________1        23.422   9.33       1.62280                              57.02        70.625   3.333        -93.604  2.67       1.84666                              23.94        46.465   3.005        56.339   4.50       1.59270                              35.36        -31.977  1.17       1.74950                              35.37        -42.929  18.958        -15.685  3.33       1.69680                              55.59        -20.130______________________________________Aspherical surface: 5           ΔX.sub.5 (0.1f)/f = -0.4670 × 10.sup.-3______________________________________K = 0.0A1 = 4.94611D-05           P1 = 2.0000A2 = -4.87911D-06           P2 = 4.0000A3 = 1.71412D-08           P3 = 5.0000A4 = 4.46202D-10           P4 = 6.0000A5 = 4.61797D-12           P5 = 7.0000A6 = 3.48215D-14           P6 = 8.0000A7 = 1.86574D-16           P7 = 9.0000A8 = 2.30924D-19           P8 = 10.0000______________________________________Aspherical surface: 9           ΔX.sub.9 (0.14f)/f = -0.1948 × 10.sup.-2______________________________________K = 0.0A1 = 2.35661D-03           P1 = 2.0000A2 = -3.60474D- 06           P2 = 4.0000A3 = 7.93398D-07           P3 = 5.0000A4 = -3.28026D-08           P4 = 6.0000A5 = -2.29990D-10           P5 = 7.0000A6 = 6.11902D-12           P6 = 8.0000A7 = 8.99651D-13           P7 = 9.0000A8 = 1.70282D-14           P8 = 10.0000______________________________________f.sub.1.2.3.4 = 63.77           ΣD = 46.28f.sub.5 = -96.52           Telephoto ratio = 0.9269f.sub.B = 46.41______________________________________ 
    
     Embodiment 9 
     
         ______________________________________f = 100 W = 35.8° F 4.0______________________________________    R        D          N     ν______________________________________1        24.634   6.47       1.56883                              56.32        102.309  3.233        -76.314  1.62       1.80518                              25.44        80.929   6.105        75.546   3.87       1.60717                              40.36        -50.333  20.527        -17.200  2.50       1.63854                              55.49        -24.098______________________________________Aspherical surface: 4           ΔX.sub.4 (0.1f)/f = 0.1555 × 10.sup.-3______________________________________K = 0.0A1 = 8.69939D-04           P1 = 2.0000A2 = 1.38421D-06           P2 = 4.0000A3 = 2.85950D-09           P3 = 6.0000A4 = 4.72626D-14           P4 = 8.0000A5 = -3.15977D-17           P5 = 10.0000______________________________________Aspherical surface: 6           ΔX.sub.6 (0.1f)/f = 0.3305 × 10.sup.-4______________________________________K = 0.0A1 = -3.97745D-04           P1 = 2.0000A2 = 4.86804D-07           P2 = 4.0000A3 = -2.78992D-09           P3 = 6.0000A4 = -4.10665D-13           P4 = 8.0000A5 = -4.31447D-17           P5 = 10.0000______________________________________Aspherical surface: 8           ΔX.sub.9 (0.14f)/f = -0.9116 × 10.sup.-3______________________________________K = 0.0A1 = 2.67076D-03           P1 = 2.0000A2 = 1.84476D-06           P2 = 4.0000A3 = -9.06308D-10           P3 = 6.0000A4 = 1.58951D-13           P4 = 8.0000A5 = -6.06220D-17           P5 = 10.0000______________________________________f.sub.1.2.3 = 59.79           ΣD = 44.30f.sub.4 = -78.56           Telephoto ratio = 0.9269f.sub.B = 48.39______________________________________ 
    
     Embodiment 10 
     
         ______________________________________f = 100 W = 36.0° F 4.0______________________________________    R        D          N     ν______________________________________1        24.574   6.47       1.56883                              56.32        97.945   3.233        -73.212  1.62       1.80518                              25.44        80.620   6.105        76.396   3.87       1.60717                              40.36        -50.391  20.527        -17.153  2.50       1.63854                              55.48        -23.722______________________________________Aspherical surface: 5           ΔX.sub.5 (0.1f)/f = -0.1358 × 10.sup.-3______________________________________K = 0.0A1 = -2.54556D-04           P1 = 2.0000A2 = -1.39147D-06           P2 = 4.0000A3 = 1.17392D-11           P3 = 6.0000A4 = 7.41638D-15           P4 = 8.0000A5 = 7.47286D-19           P5 = 10.0000______________________________________Aspherical surface: 6           Δ.sub.6 (0.1f)/f = 0.6461 × 10.sup.-4______________________________________K = 0.0A1 = -1.07394D-04           P1 = 2.0000A2 = 5.94152D-07           P2 = 4.0000A3 = 1.85550D-10           P3 = 6.0000A4 = 1.85067D-14           P4 = 8.0000A5 = 1.92440D-18           P5 = 10.0000______________________________________Aspherical surface: 8           ΔX.sub.14 (0.14f)/f = -0.98884 × 10.sup.-3______________________________________K = 0.0A1 = 2.76633D-03           P1 = 2.00000A2 = 2.21084D-06           P2 = 4.0000A3 = -1.94200D-09           P3 = 6.0000A4 = -1.18246D-12           P4 = 8.0000______________________________________f.sub.1.2.3 = 60.20           ΣD = 44.30f.sub.4 = -79.91           Telephoto ratio = 0.9260f.sub.B = 48.30______________________________________ 
    
     Embodiment 11 
     
         ______________________________________f = 100 W = 35.0° F 4.0______________________________________    R        D          N     ν______________________________________1        25.317   8.33       1.60311                              60.72        54.926   3.243        -53.996  1.62       1.84666                              23.94        93.997   3.645        72.903   6.33       1.62004                              36.36        -48.558  21.797        -17.232  2.59       1.51633                              64.18        -28.060______________________________________Aspherical surface: 1           ΔX.sub.1 (0.13f)/f = -0.9740 × 10.sup.-4______________________________________K = -2.08874D-02A1 = 5.04143D-05           P1 = 2.0000A2 = -3.18772D-08           P2 = 4.0000A3 = -1.31991D-09           P3 = 5.0000A4 = -2.03248D-12           P4 = 6.0000A5 = 2.46655D-13           P5 = 7.0000A6 = 6.24844D-15           P6 = 8.0000A7 = 1.12941D-16           P7 = 9.0000A8 = 1.81086D-18           P8 = 10.0000______________________________________Aspherical surface: 3           ΔX.sub.3 (0.1f)/f = -0.2425 × 10.sup.-3______________________________________K = -2.49709D-02A1 = 3.32366D-03           P1 = 2.0000A2 = -6.76348D-07           P2 = 4.0000A3 = -1.71935D-07           P3 = 5.0000A4 = 3.60669D-09           P4 = 6.0000A5 = 1.45611D-10           P5 = 7.0000A6 = 3.31067D-12           P6 = 8.0000A7 = 6.56682D-14           P7 = 9.0000A8 = 1.26619D-15           P8 = 10.0000______________________________________Aspherical surface: 8           ΔX.sub.8 (0.14f)/f = -0.1090 × 10.sup.-2______________________________________K = -1.11373D+00A1 = 9.91453D-04           P; = 2.0000A2 = -5.21808D-06           P2 = 3.0000A3 = -5.26807D-06           P3 = 4.0000A4 = -2.10519D-07           P4 = 5.0000A5 = 7.66812D-10           P5 = 6.0000A6 = 4.91284D-11           P6 = 7.0000A7 = -1.09041D-11           P7 = 8.0000A8 = -1.40019D-13           P8 = 9.0000A9 = -7.26174D-15           P9 = 10.0000______________________________________    f.sub.1.2.3 = 62.98    f.sub.4 = -85.48    f.sub.B = 45.88    ΣD = 47.54    Telephoto ratio = 0.9342______________________________________ 
    
     Embodiment 12 
     
         ______________________________________f = 100 W = 35.1° F 4.0______________________________________    R        D          N     ν______________________________________1        25.319   8.33       1.60311                              60.72        55.604   3.243        -54.142  1.62       1.84666                              23.94        97.828   3.645        73.446   6.33       1.62004                              36.36        -47.656  21.797        -17.234  2.59       1.51633                              64.18        -28.121______________________________________Aspherical surface: 2           ΔX.sub.2 (0.13 f)/f = 0.1027 × 10.sup.-3______________________________________K = 3.47226D-02A1 = 1.56933D-04           P1 = 2.0000A2 = 3.64147D-07           P2 = 4.0000A3 = 1.04115D-09           P3 = 5.0000A4 = -1.82768D-11           P4 = 6.0000A5 = -4.66723D-13           P5 = 7.0000A6 = -7.46477D-15           P6 = 8.0000A7 = -1.02910D-16           P7 = 9.0000A8 = -1.32340D-18           P8 = 10.0000______________________________________Ashperical surface: 3           ΔX.sub.3 (0.1 f)f = -0.2519 × 10.sup.-3______________________________________K = -1.13649D-02A1 = 3.08014D-03           P1 =  2.0000A2 = -7.50059D-07           P2 = 4.0000A3 = -1.75167D-07           P3 = 5.0000A4 = 3.54366D-09           P4 = 6.0000A5 = 1.44689D-10           P5 = 7.0000A6 = 3.29891D-12           P6 = 8.0000A7 = 6.56684D-14           P7 = 9.0000A8 = 1.26464D-15           P8 = 10.0000______________________________________Aspherical surface: 8           ΔX.sub.8 (0.14 f)/f = -0.1022 × 10.sup.-2______________________________________K = -1.14811D+00A1 = 1.00135D-03           P1 = 2.0000A2 = -5.21808D-06           P2 = 3.0000A3 = -5.21873D-06           P3 = 4.0000A4 = -2.10519D-07           P4 = 5.0000A5 =  7.28388D-10           P5 = 6.0000A6 =  4.91285D-11           P6 = 7.0000A7 = -1.08772D-11           P7 = 8.0000A8 = -1.40019D-13           P8 = 9.0000A9 = -7.24171D-15           P9 = 10.0000______________________________________    f.sub.1.2.3 = 62.82    f.sub.4 = -85.13    f.sub.B =  46.03    Σ.sub.D = 47.54    Telephoto ratio = 0.9357______________________________________ 
    
     Embodiment 13 
     
         ______________________________________f = 100 W = 35.1° F 4.0______________________________________    R        D          N     ν______________________________________1        24.480   8.33       1.60311                              60.72        54.317   3.243        -50.564  1.62       1.84666                              23.94        74.154   3.645        70.278   6.33       1.62004                              36.36        -51.826  21.777        -16.427  2.59       1.49200                              55.08        -24.450______________________________________Aspherical surface: 3           ΔX.sub.3 (0.1 f)/f = -0.2868 × 10.sup.-3______________________________________K = 2.97195D-02A1 = 4.98558D-03           P1 = 2.0000A2 = -1.11677D-03           P2 = 4.0000A3 = -1.45536D-07           P3 = 5.0000A4 = 4.08159D-09           P4 = 6.0000A5 = 1.51845D-10           P5 - 7.0000A6 = 3.38403D-12           P6 = 8.0000A7 = 6.67456D-14           P7 = 9.0000A8 = 1.27504D-15           P8 = 10.0000______________________________________Aspherical surface: 7           ΔX.sub.7 (0.13 f)/f = 0.6270 × 10.sup.-2______________________________________K = -7.81760D-02A1 = -2.37403D-03           P1 = 2.0000A2 = -7.21552D-07           P2 = 4.0000A3 = -1.08063D-08           P3 = 5.0000A4 = -1.17586D-10           P4 = 6.0000A5 = -7.95713D-13           P5 = 7.0000A6 = 2.52428D-15           P6 = 8.0000A7 = 5.23919D-18           P7 = 10.0000______________________________________Aspherical surface: 8           ΔX.sub.8 (0.14 f)/f = 0.8709 × 10.sup.-3______________________________________K = -1.09095D+00A1 = -5.34482D-05           P1 = 2.0000A2 = -5.21884D-06           P2 = 3.0000A3 = -5.28634D-06           P3 = 4.0000A4 = -2.10520D-07           P4 = 5.0000A5 = 5.27104D-10           P5 = 6.0000A6 = 4.91287D-11           P6 = 7.0000A7 = -1.10169D-11           P7 = 8.0000A8 = -1.40020D-13           P8 = 9.0000A9 = -7.29674D-15           P9 = 10.0000______________________________________    f.sub.1.2.3 = 64.2    f.sub.4 = -91.06    f.sub.B = 45.67    Σ.sub.D = 47.52    Telephoto ratio = 0.9319______________________________________ 
    
     Embodiment 14 
     
         ______________________________________f = 100 W = 35.1° F 4.0______________________________________    R        D          N     ν______________________________________1        21.433   7.39       1.51633                              64.12        65.752   2.873        -60.623  1.43       1.75520                              27.54        49.645   3.235        53.884   5.61       1.62004                              36.36        -48.565  18.637        -15.629  2.30       1.51633                              64.18        -27.375______________________________________Aspherical surface: 3           ΔX.sub.3 (0.1 f)/f = -0.1034 × 10.sup.-3______________________________________K = -3.72924D-02A1 = 1.08233D-03           P1 = 2.0000A2 = -2.81942D-05           P2 = 3.0000A3 = 4.22689D-06           P3 = 4.0000A4 = -2.75472D-07           P4 = 5.0000A5 = 2.36734D-09           P5 = 6.0000A6 = 1.9-291D-10           P6 = 7.0000A7 = 5.02400D-12           P7 = 8.0000A8 = 1.02079D-13           P8 = 9.0000A9 = 1.85997D-15           P9 = 10.0000______________________________________Aspherical surface: 5           ΔX.sub.5 (0.1 f)/f = -0.2291 × 10.sup.______________________________________           -3K = -1.95486D-01A1 = 6.71218D-04           P1 = 2.0000A2 = -1.57691D-06           P2 = 4.0000A3 = -3.10099D-08           P3 = 5.0000A4 = -4.47223D-10           P4 = 6.0000A5 = -5.43492D-12           P5 = 7.0000A6 = -5.85634D-14           P6 = 8.0000A7 = -4.99232D-18           P7 = 10.0000______________________________________Aspherical surface: 8           ΔX.sub.8 (0.14 f)/f = -0.1462 × 10.sup.-2______________________________________K = -8.22201D-02A1 = -1.61780D-03           P1 = 2.0000A2 = -3.21257D-05           P2 = 3.0000A3 = -2.63779D-07           P3 = 4.0000A5 = -1.57399D-09           P5 = 6.0000A6 = 7.99701D-11           P6 = 7.0000A7 = -2.07092D-11           P7 = 8.0000A8 = -5.72539D-14           P8 = 9.0000A9 = -8.36360D-15           P9 = 10.0000______________________________________    f.sub.1.2.3 = 60.91    f.sub.4 = -87.12    f.sub. B = 51.54    Σ.sub.D = 41.46    Telephoto ratio = 0.93______________________________________ 
    
     Embodiment 15 
     
         ______________________________________f = 100 W = 35.6° F 4.0______________________________________    R        D          N     ν______________________________________1        30.501   5.71       1.51633                              64.12        69.875   2.863        -72.993  1.43       1.80518                              25.44        113.934  5.385        57.428   3.43       1.62004                              36.36        -59.075  18.807        -15.114  2.28       1.69680                              55.58        -31.924______________________________________Aspherical surface: 1           ΔX.sub.1 (0.13 f)/f = -0.3860 × 10.sup.-3______________________________________K = 3.16046D-01A1 = 6.03290D-03           P1 = 2.0000A2 = -1.84034D-05           P2 = 3.0000A3 = 7.06936D-06           P3 = 4.0000A4 = -1.28109D-07           P4 = 5.0000A5 = 1.02274D-08           P5 = 6.0000A6 = 1.41472D-10           P6 = 7.0000A7 = -4.26684D-12           P7 = 8.0000A8 = -2.63690D-13           P8 = 9.0000A9 = -8.49444D-15           P9 = 10.0000______________________________________Aspherical surface: 3           ΔX.sub.3 (0.1 f)/f = -0.8480 × 10.sup.-4______________________________________K =  -2.19536D-01A1 = -9.30227D-04           P1 = 2.0000A2 = 5.16582D-07           P2 = 4.0000A3 = 6.96729D-11           P3 = 5.0000A4 = 7.65852D-10           P4 = 6.0000A5 = 2.47858D-11           P5 = 7.0000A6 = 5.05066D-13           P6 = 8.0000A7 = 1.25172D-16           P7 = 10.0000______________________________________Aspherical surface: 8           ΔX.sub.8 (0.14 f)/f = -0.1330 × 10.sup.-2______________________________________K = -2.80651D-01A1 = -6.32976D-03           P1 = 2.0000A2 = -2.44603D-05           P2 = 3.0000A3 = -8.09074D-06           P3 = 4.0000A4 = 7.85866D-09           P4 = 5.0000A5 = -7.82262D-09           P5 = 6.0000A6 = -3.42867D-10           P6 = 7.0000A7 = -3.40960D-11           P7 = 8.0000A8 = -3.57922D-13           P8 = 9.0000A9 = -1.26223D-14           P9 -10.0000______________________________________    f.sub.1.2.3 = 56.55    f.sub.4 = -73.79    f.sub.B =  52.12    Σ.sub.D = 39.89    Telephoto ratio: = 0.9201______________________________________ 
    
     Embodiment 16 
     
         ______________________________________f = 100 W = 35.0° F 4.0______________________________________    R        D          N     ν______________________________________1        25.320   9.33       1.60311                              60.72        55.337   3.243        -54.130  1.62       1.84666                              23.94        96.987   3.645        73.386   6.33       1.62004                              36.36        -47.064  21.797        -17.232  2.59       1.51633                              64.18        -27.933______________________________________Aspherical surface: 3           ΔX.sub.3 (0.1 f)/f = -0.2542 × 10.sup.-3______________________________________K = -7.80476D-03A1 = 3.15832D-03           P1 = 2.0000A2 = -7.66356D-07           P2 = 4.0000A3 = -1.74668D-07           P3 = 5.0000A4 = 3.54579D-09           P4 = 6.0000A5 = 1.44634D-10           P5 = 7.0000A6 = 3.29743D-12           P6 = 8.0000A7 = 6.57642D-14           P7 = 9.0000A8 = 1.26429D-15           P8 = 10.0000______________________________________Aspherical surface: 6           ΔX.sub.6 (0.1 f)/f = 0.8300 × 10.sup.-5______________________________________K = -2.47636D-02A1 = 3.30124D-04           P1 = 2.0000A2 = 1.17172D-07           P2 = 4.0000A3 = 3.92609D-09           P3 = 5.0000A4 = 7.15251D-11           P4 = 6.0000A5 = 1.02301D-12           P5 = 7.0000A6 = 1.29894D-14           P6 = 8.0000A7 = 1.75108D-18           P7 = 10.0000______________________________________Aspherical surface: 8           ΔX.sub.8 (0.14 f)/f = -0.9197 × 10.sup.-3______________________________________K = -1.16547D+00A1 = 1.00707D-03           P1 = 2.0000A2 = -5.21807D-06           P2 = 3.0000A3 = -5.18492D-06           P3 = 4.0000A4 = -2.10518D-07           P4 = 5.0000A5 = 7.36724D-10           P5 = 6.0000A6 = 4.91282D-11           P6 = 7.0000A7 = -1.08889D-11           P7 = 8.0000A8 = -1.40018D-13           P8 = 9.0000A9 = -7.25212D-15           P9 = 10.0000______________________________________    f.sub.1.2.3 = 63.06    f.sub.4 = -86.01    f.sub.B = 45.99    Σ.sub.D = 47.54    Telephoto ratio = 0.9353______________________________________ 
    
     Embodiment 17 
     
         ______________________________________f = 100 W = 35.0° F 4.0______________________________________    R        D          N     ν______________________________________1        25.480   8.33       1.60311                              60.72        55.830   3.243        -54.325  1.62       1.84666                              23.94        101.538  3.645        73.231   6.33       1.62004                              36.36        -46.972  21.797        -17.212  2.59       1.51633                              64.18        -28.395______________________________________Aspherical surface: 3           ΔX.sub.3 (0.1 f)/f = -0.2620 × 10.sup.-3______________________________________K = 0.0A1 = 2.76615D-03           P1 = 2.0000A2 = -8.32861D-07           P2 = 4.0000A3 = -1.79476D-07           P3 = 5.0000A4 = 3.47366D-09           P4 = 6.0000A5 = 1.43781D-10           P5 = 7.0000A6 = 3.28820D-12           P6 = 8.0000A7 = 6.56684D-14           P7 = 9.0000A8 = 1.26333D-15           P8 = 10.0000______________________________________Aspherical surface: 8           ΔX.sub.8 (0.14 f)/f = -0.9836 × 10.sup.-3______________________________________K = -1.19788D+00A1 =  1.01475D-03           P1 = 2.0000A2 = -5.21808D-06           P2 = 3.0000A3 = -5.16207D-06           P3 = 4.0000A4 = -2.10519D-07           P4 = 5.0000A5 = 7.04564D-10           P5 = 6.0000A6 = 4.91285D-11           P6 = 7.0000A7 = -1.08790D-11           P7 = 8.0000A8 = -1.40019D-13           P8 = 9.0000A9 = -7.23875D-15           P9 = 10.0000______________________________________f.sub.1.2.3 = 62.42           Σ.sub.D = 47.54f.sub.4 = -83.44           Telephoto ratio = 0.9349f.sub.B = 45.95______________________________________ 
    
     Embodiment 18 
     
         ______________________________________f = 100 W = 35.0° F 4.0______________________________________    R        D          N     ν______________________________________1        26.113   8.31       1.60311                              60.72        52.142   3.393        -84.056  2.03       1.84666                              23.94        53.858   3.055        46.093   7.46       1.63636                              35.46        -54.212  27.387        -17.199  2.71       1.49200                              55.08        -18.298______________________________________Aspherical surface: 4           ΔX.sub.4 (0.10 f)/f = 0.3665 × 10.sup.-3______________________________________K = 7.25553D-01A1 = -1.89353D-03           P1 = 2.0000A2 = 1.63112D-06           P2 = 4.0000A3 = 1.28730D-07           P3 = 5.0000A4 = -1.17176D-09           P4 = 6.0000A5 = -8.02144D-11           P5 = 7.0000A6 = -1.69432D-12           P6 = 8.0000A7 = -2.66045D-14           P7 = 9.0000A8 = -3.69440D-16           P8 = 10.0000______________________________________Aspherical surface: 7           ΔX.sub.7 (0.13 f)/f = 0.2888 × 10.sup.-1______________________________________K = -3.03103D-02A1 = -8.34305D-03           P1 = 2.0000A2 = 2.10702D-06           P2 = 4.0000A3 = 1.17386D-07           P3 = 5.0000A4 = -5.49590D-09           P4 = 6.0000A5 = -1.94141D-10           P5 = 7.0000A6 = -4.16296D-12           P6 = 8.0000A7 = -7.41826D-14           P7 = 9.0000A8 = -1.19214D-15           P8 = 10.0000______________________________________Aspherical surface: 8           ΔX.sub.8 (0.14 f)/f = 0.5645 × 10.sup.-2______________________________________K = -1.31433D+00A1 = 3.75089D-03           P1 = 2.0000A2 = -5.87355D-06           P2 = 4.0000A3 = -9.92000D-08           P3 = 5.0000A4 = -2.54945D-09           P4 = 6.0000A5 = -2.21999D-11           P5 = 7.0000A6 = -7.18024D-12           P6 = 8.0000A7 = 6.55420D-14           P7 = 9.0000A8 = 9.02696D-16           P8 = 10.0000______________________________________    f.sub.1.2.3 = 64.63    f.sub.4 = -82.88    f.sub.B = 39.82    Σ.sub.D =  54.33    Telephoto ratio: 0.9415______________________________________ 
    
     Embodiment 19 
     
         ______________________________________f = 100 W = 35.0° F 4.0______________________________________    R        D          N     ν______________________________________1        25.548   8.19       1.60311                              60.72        52.055   3.343        -84.113  2.00       1.84666                              23.94        53.641   3.015        45.062   7.35       1.63636                              35.46        -53.161  25.987        -16.964  2.67       1.49200                              55.08        -19.364______________________________________Aspherical surface: 4           ΔX.sub.4 (0.10 f)/f = 0.3764 × 10.sup.-3______________________________________K = 7.25325D-01A1 = -1.31967D-03           P1 = 2.0000A2 = 1.74110D-06           P2 = 4.0000A3 = 1.34599D-07           P3 = 5.0000A4 = -1.34157D-09           P4 = 6.0000A5 = -8.89012D-11           P5 = 7.0000A6 = -1.89352D-12           P6 = 8.0000A7 = -3.00895D-14           P7 = 9.0000A8 = -4.23323D-16           P8 = 10.0000______________________________________Aspherical surface: 7           ΔX.sub.7 (0.13 f)/f = 0.1636 × 10.sup.-1______________________________________K = -4.66942D-02A1 = -5.79375D-03           P1 = 2.0000A2 = 2.65155D-06           P2 = 4.0000A3 = 1.40033D-07           P3 = 5.0000A4 = -5.61910D-09           P4 = 6.0000A5 = -2.07345D-10           P5 = 7.0000A6 = -4.54632D-12           P6 = 8.0000A7 = -8.25215D-14           P7 = 9.0000A8 = -1.34896D-15           P8 = 10.0000______________________________________Aspherical surface: 8           ΔX.sub.8 (0.14 f)/f = 0.3809 × 10.sup.-2______________________________________K = -1.34941D+00A1 = 4.08619D-03           P1 = 2.0000A2 = -5.98342D-06           P2 = 4.0000A3 = -1.11390D-07           P3 = 5.0000A4 = -2.73571D-09           P4 = 6.0000A5 = -1.87242D-11           P5 = 7.0000A6 = -7.72103D-12           P6 = 8.0000A7 = 8.06903D-14           P7 = 9.0000A8 = 1.21083D-15           P8 = 10.0000______________________________________    f.sub.1.3. = 63.97    f.sub.4 = -83.42    f.sub.B = 41.49    Σ.sub.D =  52.54    Telephoto ratio = 0.9403______________________________________ 
    
     Embodiment 20 
     
         ______________________________________f = 100 W = 35,0° F 4.0______________________________________    R        D          N     ν______________________________________1        25.456   8.33       1.60311                              60.72        51.919   3.173        -83.159  2.00       1.84666                              23.94        53.357   3.005        44.786   7.33       1.63636                              35.46        -52.854  25.917        -16.932  2.67       1.49200                              55.08        -19.318______________________________________Aspherical surface: 4           ΔX.sub.4 (0.10 f)/f = 0.3797 × 10.sup.-3______________________________________K = 7.27756D-01A1 = -1.32518D-03           P1 = 2.0000A2 = 1.80317D-06           P2 = 4.0000A3 = 1.29636D-07           P3 = 5.0000A4 = -1.31328D-09           P4 = 6.0000A5 = -8.80417D-11           P5 = 7.0000A6 = -1.88673D-12           P6 = 8.0000A7 = -3.01311D-14           P7 = 9.0000A8 = -4.25894D-16           P8 = 10.0000______________________________________Aspherical surface: 7           ΔX.sub.7 (0.13 f)/f = 0.1915 × 10.sup.-1______________________________________K = -3.21404D-02A1 = -6.40550D-03           P1 = 2.0000A2 = 2.42588D-06           P2 = 4.0000A3 = 1.34860D-07           P3 = 5.0000A4 = -5.85913D-09           P4 = 6.0000A5 = -2.13561D-10           P5 = 7.0000A6 = -4.67139D-12           P6 = 8.0000A7 = -8.47291D-14           P7 = 9.0000A8 = -1.38483D-15           P8 = 10.0000______________________________________Aspherical surface: 8           ΔX.sub.8 (0.14 f)/f = 0.4093 × 10.sup.-2______________________________________K = -1.33261D+00A1 = 3.68391D-03           P1 = 2.0000A2 = -5.94307D-06           P2 = 4.0000A3 = -1.12697D-07           P3 = 5.0000A4 = -2.86277D-09           P4 = 6.0000A5 = -2.51163D-11           P5 = 7.0000A6 = -8.08864D-12           P6 = 8.0000A7 = 7.50480D-14           P7 = 9.0000A8 = 1.04768D-15           P8 = 10.0000______________________________________    f.sub.1.2.3 = 63.86    f.sub.4 = -82.40    f.sub.B = 41.42    Σ.sub.D =  52.41    Telephoto ratio = 0.9383______________________________________ 
    
     Embodiment 21 
     
         ______________________________________f = 100 W = 34.8° F 4.0______________________________________    R        D          N     ν______________________________________1        26.201   8.34       1.60311                              60.72        52.395   3.403        -84.495  2.04       1.84666                              23.94        54.121   3.065        46.243   7.49       1.63636                              35.46        -54.233  27.487        -17.268  2.72       1.49200                              55.08        -18.407______________________________________Aspherical surface: 4           ΔX.sub.4 (0.10 f)/f = 0.3696 × 10.sup.-3______________________________________K = 7.25658D-01A1 = -1.83166D-03           P1 = 2.0000A2 = 1.65603D-06           P2 = 4.0000A3 = 1.26256D-07           P3 = 5.0000A4 = -1.16131D-09           P4 = 6.0000A5 = -7.85177D-11           P5 = 7.0000A6 = -1.65031D-12           P6 = 8.0000A7 = -2.58014D-14           P7 = 9.0000A8 = -3.56798D-16           P8 = 10.0000______________________________________Aspherical surface: 7           ΔX.sub.7 (0.13 f)/f = 0.2822 × 10.sup.-1______________________________________K = -2.90324D-02A1 = -8.22825D-03           P1 = 2.0000A2 = 2.11074D-06           P2 = 4.0000A3 = 1.16238D-07           P3 = 5.0000A4 = -5.37651D-09           P4 = 6.0000A5 = -1.89416D-10           P5 = 7.0000A6 = -4.04697D-12           P6 = 8.0000A7 = -7.18433D-14           P7 = 9.0000A8 = -1.15012D-15           P8 = 10.0000______________________________________Aspherical surface: 8           ΔX.sub.8 (0.14 f)/f = 0.5569 × 10.sup.-2______________________________________K = -1.31094D+00A1 = 3.70784D-03           P1 = 2.0000A2 = -5.84832D-06           P2 = 4.0000A3 = -9.85714D-18           P3 = 5.0000A4 = -2.50923D-09           P4 = 6.0000A5 = -2.16196D-11           P5 = 7.0000A6 = -6.97822D-12           P6 = 8.0000A7 = 6.37312D-14           P7 = 9.0000A8 = 8.77321D-16           P8 = 10.0000______________________________________    f.sub.1.2.3 = 63.48    f.sub.4 = -83.56    f.sub.B = 39.77    Σ.sub.D =  54.55    Telephoto ratio = 0.9432______________________________________ 
    
     Embodiments 22 to 32 show examples wherein the third positive lens L 3  comprises two positive lenses L 31  and L 32 . 
     In Embodiments 31 and 32, both surfaces of the fourth lens L 4  have their curvature which is gentler outside the axis than the surface of paraxial radius of curvature. This design is made to make comatic aberration flat at an angle of view of 28° or more. If the object side is greatly displaced, the comatic aberration can be restrained but the image surface curve is short in compensation. Therefore, if the image side is likewise displaced so as to make the curvature gentle outside the axis, the comatic aberration becomes also flat, and the image surface curve can be also compensated. 
     Embodiment 22 
     
         ______________________________________f = 100 W = 35° F 4.0______________________________________  R           D      N        ν______________________________________1      23.338      8.33   1.58913  61.02      47.542      3.233      -63.764     1.67   1.84666  23.94      60.832      0.815      92.977      2.67   1.49200  55.0 (resin)6      1212.959    0.337      74.073      6.17   1.69895  30.18      -48.011     21.799      -15.396     2.67   1.49200  55.0 (resin)10     -22.856______________________________________Aspherical surface: 5           ΔX(0.10 f) = -0.52375 × 10.sup.-3______________________________________K = -1.71074D-01A1 = 4.92612D-05           P1 = 2.0000A2 = -4.88022D-06           P2 = 4.0000A3 = -2.39993D-08           P3 = 5.0000A4 = -7.78213D-10           P4 = 6.0000A5 = -7.49195D-12           P5 = 7.0000A6 = -6.60661D-14           P6 = 8.0000A7 = -5.33783D-16           P7 = 9.0000A8 = -3.81073D-18           P8 = 10.0000______________________________________Aspherical surface: 9           ΔX(0.13 f) = 0.64918 × 10.sup.-2______________________________________K = -2.25565D- 01A1 = -2.76275D-04           P1 = 2.0000A2 = 5.53218D-07           P2 = 4.0000A3 = -1.45347D-08           P3 = 5.0000A4 = -1.98010D-10           P4 = 6.0000A5 = -3.50886D-12           P5 = 7.0000A6 = -4.52550D-14           P6 = 8.0000A7 = -5.55003D-18           P7 = 10.0000______________________________________Aspherical surface: 10           ΔX(0.14 f) = 0.89980 × 10.sup.-3______________________________________K = -3.13835D-01A1 = 2.10215D-03           P1 = 2.0000A2 = 1.53184D-06           P2 = 4.0000A3 = -3.92676D-10           P3 = 6.0000A4 = -7.08901D-13           P4 = 8.0000A5 = -3.34634D-16           P5 = 10.0000______________________________________f.sub.123 = 62.49            f.sub.4 = -85.84f.sub.B = 46.58ΣD = 47.67 Telephoto ratio = 0.9425______________________________________ 
    
     Embodiment 23 
     
         ______________________________________f = 100 W = 35.0° F 4.0______________________________________  R            D      N       ν______________________________________1      24.659       8.33   1.69680 55.52      42.578       3.233      -67.819      1.67   1.84666 23.94      52.381       0.815      76.727       2.67   1.49200 55.0 (resin)6      -575.910     0.337      111.667      6.17   1.72825 28.58      -55.350      21.799      -14.943      2.67   1.49200 55.0 (resin)10     -20.160______________________________________Aspherical surface: 5           ΔX(0.10 f) = -0.34505 × 10.sup.-3______________________________________K = -1.30820D-01A1 = 3.39173D-03           P1 = 2.0000A2 = -2.73359D-06           P2 = 4.0000A3 = 6.23249D-09           P3 = 5.0000A4 = -2.92059D-10           P4 = 6.0000A5 = -3.70598D-13           P5 = 7.0000A6 = 2.94720D-14           P6 = 8.0000A7 = 6.71573D-16           P7 = 9.0000A8 = 1.07603D-17           P8 = 10.0000______________________________________Aspherical surface: 9           ΔX(0.13 f) = 0.45674 × 10.sup.-2______________________________________K = -1.45031D-01A1 =  1.52471D-04           P1 = 2.0000A2 = 1.27500D-06           P2 = 4.0000A3 = -3.38225D-08           P3 = 5.0000A4 = -5.54289D-10           P4 = 6.0000A5 = -7.81470D-12           P5 = 7.0000A6 = -8.70558D-14           P6 = 8.0000A7 = -6.64214D-18           P7 = 10.0000______________________________________Aspherical surface: 10           ΔX(0.14 f) = -0.46241 × 10.sup.-3______________________________________K = -2.14717D-01A1 = 3.42646D-03           P1 = 2.0000A2 = 1.74579D-06           P2 = 4.0000A3 = 1.44675D-10           P3 = 6.0000A4 = -8.01771D-13           P4 = 8.0000A5 = -4.26004D-16           P5 = 10.0000______________________________________f.sub.123 = 64.58            f.sub.4 = -95.16f.sub.B = 46.62ΣD = 47.67 Telephoto ratio = 0.9429______________________________________ 
    
     Embodiment 24 
     
         ______________________________________f = 100 W = 35.1° F 4.0______________________________________  R           D      N       ν______________________________________1      24.161      8.33   1.62041 60.32      55.286      3.233      -72.620     1.67   1.84666 23.94      48.792      0.815      56.205      2.67   1.49200 55.0 (RESIN)6      102.794     0.337      60.098      6.17   1.69895 30.18      -50.252     21.849      -16.068     2.67   1.49200 55.0 (resin)10     -22.965______________________________________Aspherical surface: 6           ΔX(0.10 f) = 0.40965 × 10.sup.-3______________________________________K = 4.66658D-02A1 = 9.94571D-04           P1 = 2.0000A2 = 3.90452D-06           P2 = 4.0000A3 = 2.85712D-08           P3 = 5.0000A4 = -1.57715D-10           P4 = 6.0000A5 = 2.47038D-12           P5 = 7.0000A6 = 8.06277D-14           P6 = 8.0000A7 = 1.45368D-15           P7 = 9.0000A8 = 2.14475D-17           P8 = 10.0000______________________________________Aspherical surface: 9           ΔX(0.13 f) = -0.23332 × 10.sup.-4______________________________________K = 1.37436D-03A1 = -4.31652D-06           P1 = 2.0000A2 = 8.26933D-10           P2 = 4.0000A3 = 1.23673D-11           P3 = 5.0000A4 = 2.13704D-13           P4 = 6.0000A5 = 3.51398D-15           P5 = 7.0000A6 = 5.25111D-17           P6 = 8.0000A7 = 9.19426D-21           P7 = 10.0000______________________________________Aspherical surface: 10           ΔX(0.14 f) = -0.20773 × 10.sup.-2______________________________________K = 9.69262D-02A1 = 2.57038D-03           P1 = 2.0000A2 = 5.02112D-07           P2 = 4.0000A3 = 2.69935D-08           P3 = 5.0000A4 = -4.21703D-10           P4 = 6.0000A5 = -7.62587D-12           P5 = 7.0000A6 = -1.41752D-12           P6 = 8.0000A7 = -6.48079D-16           P7 = 10.0000______________________________________     f.sub.123 = 64.52     f.sub.4 = -93.50     f.sub.B = 46.3     ΣD = 47.72     Telephoto ratio = 0.9402______________________________________ 
    
     Embodiment 25 
     
         ______________________________________f = 100 W = 35.1° F 4.0______________________________________  R           D      N        ν______________________________________1      23.806      8.33   1.62041  60.32      45.147      3.233      -68.199     1.67   1.84666  23.94      49.314      0.815      80.124      2.67   1.49200  55.0 (resin)6      112.653     0.337      61.164      6.17   1.69895  30.18      -50.144     21.839      -15.946     2.67   1.49200  55.0 (resin)10     -21.943______________________________________Aspherical surface: 5           ΔX(0.10 f) = -0.58351 × 10.sup.-3______________________________________K = -1.59018D-01A1 = 4.59004D-03           P1 = 2.0000A2 = -4.54418D-06           P2 = 4.0000A3 = -1.28609D-08           P3 = 5.0000A4 = -6.19631D-10           P4 = 6.0000A5 = -4.78023D-12           P5 = 7.0000A6 = -2.04508D-14           P6 = 8.0000A7 = 1.59913D-16           P7 = 9.0000A8 = 5.82337D-18           P8 = 10.0000______________________________________Aspherical surface: 10           ΔX(0.14 f) = -0.19630 × 10.sup.-2______________________________________K = -9.03393D-02A1 = 4.27902D-03           P1 = 2.0000A2 = 6.84180D-07           P2 = 4.0000A3 = 2.69934D-08           P3 = 5.0000A4 = -4.17368D-10           P4 = 6.0000A5 = -7.62582D-12           P5 = 7.0000A6 = -1.28071D-12           P6 = 8.0000A7 = -6.01368D-16           P7 = 10.0000______________________________________f.sub.123 = 62.81            Telephoto ratio = 0.9385f.sub.4 = -85.92f.sub.B = 46.14ΣD = 47.71______________________________________ 
    
     Embodiment 26 
     
         ______________________________________f = 100 W = 35.0° F 4.0______________________________________  R           D      N        ν______________________________________1      23.558      8.50   1.62041  60.32      50.521      3.233      -86.490     1.67   1.84666  23.04      46.162      0.775      56.176      3.33   1.49200  55.0 (resin)6      93.231      0.337      61.338      5.83   1.69895  30.18      -54.756     21.969      -15.432     3.00   1.49200  55.0 (resin)10     -22.849______________________________________Aspherical surface: 5           ΔX(0.10 f) = -0.50865 × 10.sup.-3______________________________________K = -4.13430D-01A1 = 3.07639D-04           P1 = 2.0000A2 = -4.38729D-06           P2 = 4.0000A3 = -3.04057D-08           P3 = 5.0000A4 = -2.37276D-10           P4 = 6.0000A5 = 4.02770D-12           P5 = 7.0000A6 = 1.18648D-13           P6 = 8.0000A7 = 2.04293D-15           P7 = 9.0000A8 = 2.92834D-17           P8 = 10.0000______________________________________Aspherical surface: 9           ΔX(0.13 f) = 0.72242 × 10.sup.-2______________________________________K = -1.00301D-01A1 = -1.74270D- 03           P1 = 2.0000A2 = -9.05943D-07           P2 = 4.0000A3 = -4.68770D-08           P3 = 5.0000A4 = -5.32538D-10           P4 = 6.0000A5 = -2.94270D-12           P5 = 7.0000A6 = 2.18312D-14           P6 = 8.0000A7 = 1.86221D-17           P7 = 10.0000______________________________________f.sub.123 = 64.68            Telephoto ratio = 0.9372f.sub.4 = -94.27f.sub.B = 45.1ΣD = 48.62______________________________________ 
    
     Embodiment 27 
     
         ______________________________________f = 100 W = 35.0° F 4.0______________________________________  R            D      N       ν______________________________________1      23.646       8.33   1.62041 60.32      48.411       3.233      -53.113      1.67   1.84666 23.94      43.749       0.815      52.291       6.17   1.72825 28.56      -48.136      0.337      -3793.085    2.67   1.49200 55.0 (resin)8      -88.287      21.799      -14.473      2.67   1.49200 55.0 (resin)10     -19.401______________________________________Aspherical surface: 7           ΔX(0.10 f) = -0.16666 × 10.sup.-3______________________________________K = 4.38921D-06A1 = 4.69011D-04           P1 = 2.0000A2 = -1.53283D-06           P2 = 4.0000A3 = -8.96344D-09           P3 = 5.0000A4 = -4.15499D-10           P4 = 6.0000A5 = -2.50827D-12           P5 = 7.0000A6 = -4.36034D-15           P6 = 8.0000A7 = 1.85093D-16           P7 = 9.0000A8 = 4.27796D-18           P8 = 10.0000______________________________________Aspherical surface: 9           ΔX(0.13 f) = 0.12269 × 10.sup.-1______________________________________K = -4.28431D-01A1 = 3.80170D-04           P1 = 2.0000A2 = 9.76514D-08           P2 = 4.0000A3 = -4.42657D-08           P3 = 5.0000A4 = -6.77506D-10           P4 = 6.0000A5 = -9.33013D-12           P5 = 7.0000A6 = -1.06698D-13           P6 = 8.0000A7 = -1.09735D-17           P7 = 10.0000______________________________________Aspherical surface: 10           ΔX(0.14 f) = 0.36386 × 10.sup.-2______________________________________K = -6.44648D-01A1 = 2.88343D-03           P1 = 2.0000A2 = 9.90432D-07           P2 = 4.0000A3 = -5.81352D-10           P3 = 6.0000A4 = -8.62134D-13           P4 = 8.0000A5 = -3.56286D-16           P5 = 10.0000______________________________________     f.sub.123 = 65.51     f.sub.4 = -102.63     f.sub.B = 47.88     ΣD = 47.67     Telephoto ratio = 0.9555______________________________________ 
    
     Embodiment 28 
     
         ______________________________________f = 100 W = 34.9° F 4.0______________________________________  R            D      N       ν______________________________________1      23.645       8.33   1.62041 60.32      46.865       3.233      -53.761      1.67   1.84666 23.94      45.425       0.815      50.615       6.17   1.72825 28.56      -49.001      0.337      -1752.554    2.67   1.49200 55.0 (resin)8      -81.430      21.799      -14.538      2.67   1.49200 55.0 (resin)10     -19.752______________________________________Aspherical surface: 8           ΔX(0.10 f) = 0.30774 × 10.sup.-3______________________________________K = -1.06071D-01A1 = 4.95645D-04           P1 = 2.0000A2 = 2.94707D-06           P2 = 4.0000A3 = 1.98839D-08           P3 = 5.0000A4 = -3.83365D-10           P4 = 6.0000A5 = -2.69120D-12           P5 = 7.0000A6 = -1.06186D-14           P6 = 8.0000A7 = 8.33083D-17           P7 = 9.0000A8 = 2.91031D-18           P8 = 10.0000______________________________________Aspherical surface: 9           ΔX(0.13 f) = 0.10694 × 10.sup.-1______________________________________K = -4.16566D-01A1 = 6.79564D-04           P1 = 2.0000A2 = 6.75223D-09           P2 = 4.0000A3 = -4.41548D-08           P3 = 5.0000A4 = -6.63263D-10           P4 = 6.0000A5 = -9.01936D-12           P5 = 7.0000A6 = -1.01266D-13           P6 = 8.0000A7 = -9.57618D-18           P7 = 10.0000______________________________________Aspherical surface: 10           ΔX(0.14 f) = 0.30538 × 10.sup.-2______________________________________K = -5.83710D-01A1 = 2.76906D-03           P1 = 2.0000A2 = 1.12684D-06           P2 = 4.0000A3 = -5.81019D-10           P3 = 6.0000A4 = -8.58020D-13           P4 = 8.0000A5 = -3.54324D-16           P5 = 10.0000______________________________________     f.sub.123 = 65.72     f.sub.4 = -103.36     f.sub.B = 47.79     ΣD = 47.67     Telephoto ratio = 0.9546______________________________________ 
    
     Embodiment 29 
     
         ______________________________________f = 100 W = 35.0° F 4.0______________________________________  R           D      N        ν______________________________________1      23.783      7.50   1.64000  60.12      43.796      3.233      -69.326     1.67   1.84666  23.94      60.513      0.815      88.007      3.23   1.49200  55.0 (resin)6      462.164     0.337      63.419      6.55   1.67270  32.18      -51.648     21.909      -15.469     2.67   1.49200  55.0 (resin)10     -26.165______________________________________Aspherical surface: 5           ΔX(0.10 f)/f = -0.4804 × 10.sup.-3______________________________________K = -1.60557D-1A1 = 6.79397D-04           P1 = 2.0000A2 = -4.51173D-06           P2 = 4.0000A3 = -1.25660D-08           P3 = 5.0000A4 = -5.59313D-10           P4 = 6.0000A5 = -6.06844D-12           P5 = 7.0000A6 = 1.44023D-14           P6 = 8.0000A7 = -3.69172D-16           P7 = 9.0000A8 = 1.06361D-17           P8 = 10.0000______________________________________Aspherical surface: 9           ΔX(0.13 f)/f = 0.50952 × 10.sup.-2______________________________________K = -1.54524D-01A1 = -4.47392D-04           P1 = 2.0000A2 = 8.20886D-08           P2 = 4.0000A3 = -1.90565D-08           P3 = 5.0000A4 = 6.15469D-10           P4 = 6.0000A5 = -6.65566D-12           P5 = 7.0000A6 = 2.95039D-13           P6 = 8.0000A7 = 4.98060D-17           P7 = 10.0000______________________________________f.sub.123 = 61.50            Telephoto ratio = 0.9388f.sub.4 = -80.92f.sub.B = 45.99ΣD  = 47.89______________________________________ 
    
     Embodiment 30 
     
         ______________________________________f = 100 W = 34.9° F 4.0______________________________________  R           D      N        ν______________________________________1      19.445      5.71   1.51633  64.12      44.023      2.863      -79.101     1.43   1.80518  25.44      87.924      4.825      49.782      2.68   1.49200  55.0 (resin)6      80.350      0.337      64.774      5.00   1.62004  36.38      -63.214     12.529      -14.116     2.28   1.49200  55.0 (resin)10     -66.805______________________________________Aspherical surface: 5           ΔX(0.10 f)/f = -0.14285 × 10.sup.-3______________________________________K = 6.70402D-02A1 = 1.67251D-03           P1 = 2.0000A2 = -1.52668D-06           P2 = 4.0000A3 = 6.66687D-09           P3 = 6.0000A4 = -1.89122D-12           P4 = 8.0000A5 = -5.57504D-16           P5 = 10.0000______________________________________Aspherical surface: 9           ΔX(0.13 f)/f = 0.27428 × 10.sup.-2______________________________________K = -3.92918D-01A1 = 2.29154D-03           P1 = 2.0000A2 = -1.52542D-05           P2 = 4.0000A3 = -8.70940D-09           P3 = 6.0000A4 = -4.69354D-12           P4 = 8.0000A5 = -1.00014D-15           P5 = 10.0000______________________________________Aspherical surface: 10           ΔX(0.14 f)/f = 0.90655 × 10.sup.-3______________________________________K = -6.97485D-01A1 = -7.07438D-03           P1 = 2.0000A2 = -5.37757D-06           P2 = 4.0000A3 = 2.28130D-08           P3 = 6.0000A4 = 1.49788D-12           P4 = 8.0000A5 = -4.82330D-15           P5 = 10.0000______________________________________f.sub.123 = 50.00       f.sub.4 = -56.95 f.sub.B = 54.11ΣD = 37.62       Telephoto ratio = 0.9173______________________________________ 
    
     Embodiment 31 
     
         ______________________________________f = 100 W = 35.1° F 4.0______________________________________  R           D      N        ν______________________________________1      24.380      8.12   1.60311  60.72      34.791      3.333      -64.815     2.00   1.84666  23.94      49.204      0.675      52.157      2.27   1.49200  55.0 (resin)6      66.690      0.337      43.398      6.96   1.63636  35.48      -45.921     25.989      -16.915     2.67   1.e9200  55.0 (resin)10     -17.658______________________________________Aspherical surface: 4           ΔX(0.1 f)/f = 0.6 × 10.sup.-3______________________________________K = 1.21956D+00A1 = -4.02600D-03           P1 = 2.0000A2 = 2.63085D-06           P2 = 4.0000A3 = 1.37595D-07           P3 = 5.0000A4 = 7.28474D-10           P4 = 6.0000A5 = -8.86419D-11           P5 = 7.0000A6 = -1.42475D-12           P6 = 8.0000A7 = -3.03952D-14           P7 = 9.0000A8 = -3.36650D-16           P8 = 10.0000______________________________________Aspherical surface: 9           ΔX(0.13 f)/f = 0.38 × 10.sup.-1______________________________________K = -3.03103D-02A1 =  -8.48312D-03           P1 = 2.0000A2 = 2.21494D-06           P2 = 4.0000A3 = 1.25470D-07           P3 = 5.0000A4 = -5.97302D-09           P4 = 6.0000A5 = -2.14538D-10           P5 = 7.0000A6 = -4.67757D-12           P6 = 8.0000A7 = -8.47523D-14           P7 = 9.0000A8 = -1.38487D-15           P8 = 10.0000______________________________________Aspherical surface: 10           ΔX(0.14 f)/f = 0.68 × 10.sup.-2______________________________________K = -1.31433D+00A1 = 3.81387D-03           P1 = 2.0000A2 = -6.17439D-06           P2 = 4.0000A3 = -1.06032D-07           P3 = 5.0000A4 = -2.77079D-09           P4 = 6.0000A5 = -2.45322D-11           P5 = 7.0000A6 = -8.06784D-12           P6 = 8.0000A7 = 7.48805D-14           P7 = 9.0000A8 = 1.04863D-15           P8 = 10.0000______________________________________     f.sub.123 = 63.58     f.sub.4 = -85.39     f.sub.B = 43.2     ΣD = 52.33     Telephoto ratio = 0.9553______________________________________ 
    
     Embodiment 32 
     
         ______________________________________f = 100 W = 35.0° F 4.0______________________________________  R           D      N        ν______________________________________1      24.255      7.68   1.60311  60.72      41.928      3.333      -67.703     2.00   1.84666  23.94      63.787      0.675      57.957      2.40   1.49200  55.0 (resin)6      126.241     0.337      43.362      6.46   1.63636  3.58      -44.918     25.619      -16.909     2.67   1.49200  55.0 (resin)10     -17.652______________________________________Aspherical surface: 5           ΔX(0.1 f)/f = 0.89796 × 10.sup.-3______________________________________K = -1.04606D+00A1 = -3.71564D-03           P1 = 2.0000A2 = -8.24299D-06           P2 = 4.0000A3 = -5.76765D-09           P3 = 6.0000A4 = -1.10664D-12           P4 = 8.0000A5 = -1.69979D-16           P5 = 10.0000______________________________________Aspherical surface: 9           ΔX(0.13 f)/f = 0.38180 × 10.sup.-1______________________________________K = -3.03103D-02A1 = -8.48593D-03           P1 = 2.0000A2 = 2.21714D-06           P2 = 4.0000A3 = 1.25637D-07           P3 = 5.0000A4 =  -5.98291D-09           P4 = 6.0000A5 = -2.14965D-10           P5 = 7.0000A6 = -4.68841D-12           P6 = 8.0000A7 = -8.49769D-14           P7 = 9.0000A8 = -1.38900D-15           P8 = 10.0000______________________________________Aspherical surface: 10           ΔX(0.14 f)/f = 0.68046 × 10.sup.-2______________________________________K = -1.31433D+00A1 = 3.81513D-03           P1 = 2.0000A2 = -6.18052D-06           P2 = 4.0000A3 = -1.06172D-07           P3 = 5.0000A4 = -2.77537D-09           P4 = 6.0000A5 = -2.45810D-11           P5 = 7.0000A6 = -8.08655D-12           P6 = 8.0000A7 = 7.50790D-14           P7 = 9.0000A8 = 1.05176D-15           P8 = 10.0000______________________________________     f.sub.123 = 63.32     f.sub.4 = -85.37     f.sub.B = 43.74     ΣD = 51.15     Telephoto ratio = 0.9489______________________________________