現(xiàn)代顏色技術(shù)原理及應(yīng)用實驗報告

實驗一、光源色的測量及照明光對物體色的影響一、實驗?zāi)康耐ㄟ^演示、觀察和測量，了解照明光的改變對所觀察物體顏色視覺的影響；PR-1980B分光輻射計的組成和主要性能，并掌握使用方法。二、實驗儀器和設(shè)備PR1980B光譜輻射計；標準光源箱；微型計算機；）樣品（，，。三、實驗原理CIE的均勻色空間中，比較出其顏色變化。四、實驗步驟演示和觀察。將樣品放在標準光源箱中，先打開D65D65光源；再打開A光源，觀察同一樣品，注意樣品的顏色變化，描述主觀顏色感覺；CIE45/0五、實驗結(jié)果及分析D65變化為A時的顏色變化感覺：本實驗中我使用的樣品編號分別為D371-6，D372-6，D402-6，其色塊上的英文名稱分別是、、（譯為青瓷、綠松石、綠洲，在日光下觀察呈現(xiàn)出不同飽和程度的青綠色。當樣品放置在D65光源的照射下，樣品的顏色與在日光下觀察的顏色基本一致，仍呈現(xiàn)出不同色調(diào)、不同飽和程度的青綠色；但當樣品在A顏色有明顯差別。樣品在不同照明光源下的色品坐標變化（使用CIE1976 L*u*v*均勻顏色空間的明差、彩度差、飽和度差和總色差表示：．不同光源照明下的樣品輻射強度分布數(shù)據(jù)（詳見附表一；在D65光源照射下的樣品輻射強度分布如下圖所示：圖1 D65光源照明時白板的輻射強度分布圖2 D65光源照明時三種樣品的輻射強度分布在A光源照射下的樣品輻射強度分布如下圖所示：圖3A光源照明時白板的輻射強度分布圖4A光源照明時三種樣品的輻射強度分布B．利用Matlab數(shù)學(xué)軟件計算得到的樣品三刺激值及色品坐標；CIE1931標準色度觀察者（附表二CIE1931顏色三刺激值、CIE1931色品坐標、CIE1976UCSCIE1976L*u*v*色品坐標：D65光源照射下的樣品A光源照射下的樣品D371-6D372-6 D402-6 D371-6D372-6D402-6X8.934373E-068.437734E-06 6.470338E-06 6.399844E-055.908714E-054.531036E-05Y1.004141E-059.765804E-06 7.413411E-06 5.968005E-055.723632E-054.342564E-05Z9.048195E-069.668653E-06 7.192346E-06 1.749186E-051.890980E-051.374791E-05x0.3188116960.302729495 0.306998919 0.4533419270.4369275810.442121692y0.3583150380.350378044 0.351744979 0.4227520480.4232414560.423731272z0.3228732670.346892461 0.341256102 0.1239060250.1398309620.134147036w0.4840527340.47785503 0.479148274 0.2160383720.2287507570.224770016u0.1914164990.183498068 0.185864458 0.2530395610.242567670.245605019v0.4840527340.47785503 0.479148274 0.2160383720.2287507570.224770016L*95.4464174194.41730501 84.72574822 95.8910865894.3425410784.63934828u*-9.258635717-21.95240065 -16.3525517 -7.791289448-17.42656333-13.031373v*2.646651759-0.143949702 0.908880655 7.27108444表1 樣品三刺激值及色品坐標-0.4145294291.052444045MatlabCIE1931色品圖上定量的表示出來，如下圖所示：圖5 CIE1931色度空間中不同照明光源下樣品顏色的變化情況D371-6，D372-6，D402-6D65光源照明ACIE1931色品圖可以看到在D65AD371-6樣品的飽和度變化最大。圖6彩色CIE1931色品圖C．通過色品坐標計算出樣品在不同光源照明下的色品坐標變化。B1CIE1976L*u*v*均勻顏色空間的色品坐標，可以通過該均勻色空間的相應(yīng)色差計算公式得到三種樣品在不同光源照明下所產(chǎn)生的各種色差的大?。篋371-6D372-6D402-6明度差ΔL*-0.444669170.0747639370.086399945彩度差ΔC*1.027565621-4.521379729-3.303987342飽和度差ΔS0.011233735-0.04807145-0.039193585色調(diào)差ΔH*4.7415811270.3369602450.366750702總色差ΔE*4.8719824884.5345348723.325402741表2 不同照明光源所產(chǎn)生的色差2CIE1976L*u*v*均勻顏色空間的總的顏色差異基本相同，而且D372-6、D402-6兩種樣品的其他色差也基本一致，這反映出這兩種顏色更為接近，在光源變化之后兩者對人眼的感覺還基本一致。對于樣品D371-6來說，其彩度有明顯變化，變換光源后與其他兩種樣品的顏色差異會加大。CIE1976L*u*v*u’-v’D65光源照明變?yōu)锳光源照明時，樣品色品坐標的變化：將（2）CIE1976w’u’v’CIE1976UCS均勻色品圖上，可以從圖上直觀的看到顏色的變化情況：圖7 CIE1976UCS均勻色空間中不同照明光源下樣品顏色的變化情況觀察上圖，可以發(fā)現(xiàn)在CIE1976UCS5CIE1931色品圖中的坐標分布，其覆蓋范圍明顯縮小。這是因為人眼對綠色CIE1931CIE1976樣品的色品坐標與其他兩個樣品的坐標仍然相差較多圖上紅、綠、藍點依然分別代表樣品D371-6，D372-6，D402-6的色品坐標，連線左側(cè)D65A光源照射下的色品坐標，圖5CIE1976UCS圖8 彩色CIE1976UCS色品圖7D65現(xiàn)出來的顏色基本與日光下觀察的顏色一致，比較符合我們?nèi)粘ξ矬w顏色的認識，而在光源照明下物體的顏色會發(fā)生改變，會向黃色區(qū)域偏移，產(chǎn)生一定的色偏。實驗二、顏色樣品光譜反射的測量及色差計算一、實驗?zāi)康耐ㄟ^對顏色樣品的測量，得到樣品的光譜反射率，并計算樣品的色度和色差；Lambda19紫外可見紅外分光光度計的組成和主要性能，并掌握其使用方法。二、實驗儀器和設(shè)備Lambda19紫外可見近紅外分光光度計；微型計算機及打印機；樣品。三、實驗原理建立在顏色匹配實驗基礎(chǔ)上的CIEΦ（λ）CIE標準色度觀察者的光譜三刺激值（觀察視角為°°時，采用（λ、（λ，（λ，觀察視角在°°之間，采用x（λy（λz（λ）的乘積。三刺激值的計算理論上10 10 10應(yīng)當對波長連續(xù)變化的單色光在可見光范圍內(nèi)（380nm~780nm）求積分，但是在實際測量Δλ下求和來近似積分：Xk()x() X 10

()x10

101Yk()y() （1） 或 YZk()z() 1

k()y0 10 k ()

（2）1010 10 10當被測樣品是非自發(fā)光體，且為不透明時，式中的Φ（λ）為()()S() （3）或 ()()S() （4））為照明光源的相對光譜功率分布，一般采用CIE())為物體的光譜反射比。本實驗采用Lambda19分光光度計在8°：di和8°：de的條件下，測量不透明非自發(fā)光的顏色樣品的相對光譜反射比()。測出兩個樣品的1

()和2

()后，用（4）式分2別計算出)和 (2

。假定被測樣品主要在中等日光下觀察，視角為4°~10°之間，因10S()CIED65，三刺激值用（2）10

用把所選照明體的Y值調(diào)整到100的方法求得：k 100

（5）10 S()y ()10CIE1976L*a*b*均勻顏色空間的色差公式計算色差。四、實驗方法及步驟Lambda19紫外可見近紅外分光光度計的電源預(yù)熱；UVCSS測量軟件；鍵入（；進入測量狀態(tài)：先進行標定（選擇，然后打開測量室，放入樣品，在進行測量；LISTPRINT鍵，打印測量數(shù)據(jù)。五、實驗結(jié)果及分析分別計算出這三個樣品在CIED65標準照明體下10°視場標準觀察者的X，Y，Z和色品坐標x，y，z；根據(jù)實驗原理，可以通過樣品的光譜反射因數(shù)數(shù)據(jù)（詳見附表三）和D65光源的光譜輻射功率（附表三）以及E4標準色度觀察者光譜三刺激值（附表四品的三刺激值。其中，CIE標準光源D65的光譜輻射功率分布如下圖所示：圖1 CIED65光源的光譜輻射功率分布經(jīng)過Lambda19分光光度計測得的三種樣品的光譜反射因數(shù)如下圖2所示：圖2樣品的光譜反射因數(shù)已知上述數(shù)據(jù)，代入公式（（）色品坐標：XD371-664.39954021D372-659.6759161D402-644.80413879Y71.3718233269.1709208450.80306904Z70.9210536975.076891754.56625375x0.3115718570.2926384120.298349244y0.3453045070.3391999610.338295918z0.3431236360.3681616270.363354838表1樣品的CIE1964三刺激值及色品坐標CIE1931許改變。CIE1976L*a*b*L*，a*，b*，Cab*,hab*；（中計算得到的yz坐標代入書中的E6*）中，得到相應(yīng)的色品坐標：L*D371-687.6653424D372-686.58861697D402-676.55956514a*-7.335635854-13.71409358-9.528537153b*4.560987245-0.633122537-0.013075366Cab*Cab*hab*8.637948717-31.8715963213.728700112.643230569.5285461240.078623067表2樣品的CIE1976 L*a*b色品坐標*2CIE1976a*說明樣品的顏色的主色調(diào)基本一致；而對于樣品的黃藍度來說，D371-6樣品的坐標值與其他樣品的差異較大，也充分反映出它與其他樣品的顏色差異。通過以上分析，可以發(fā)現(xiàn)它與CIE1931xyz色品坐標的不同，它可以單從坐標數(shù)值的大小就可判斷出樣品顏色之間在亮度、色調(diào)等方面的差異，因而使用起來更加方便直觀。這兩個樣品的明度差ΔL*，紅綠度差Δa*，黃藍度差Δ，彩度差ΔCab*，色調(diào)差ΔHa*和總色差ΔEab（白色完全漫射面在E5標準照明體下°視場標準觀察者的三刺、Y10=100、=107.381）根據(jù)（）計算出的色品坐標（表，可以很容易地使用書上公式（）求出樣品間的色差（這里，我們把三種樣品編號，D371-6、D372-6、D402-61,2,3號樣品，相應(yīng)色差的下標即表示兩種編號的樣品間的色差：ΔΔL*121.076725明度差ΔL*ΔL*1311.10578彩度差ΔCab*ΔCab-0.8906ΔL*2310.02905Δa*126.378458紅綠度差ΔΔa*132.192901色調(diào)差ΔHab*ΔHab*134.993766Δa*23-4.18556Δb*125.19411黃藍度差ΔΔb*134.574063總色差ΔEabΔEab1312.20939Δb*23-0.62005ΔCab-5.09075ΔCab4.200154ΔHab6.46125ΔHab0.511906ΔEab128.295953ΔEab2310.88509表3三種樣品的CIE1976L*a*b*均勻色空間的色差我們在（2）L*a*b*3色調(diào)等方面有所不同；從紅綠度差和黃藍度差以及色調(diào)差的數(shù)據(jù)上分析，顯而易見，樣品D371-6與其他樣品的差異較大，是最容易從樣品中分辯出來的顏色。ΔLΔH差Δ。對照（1）CIE1931CIE色品坐標表，查出與樣品坐標相近的孟塞爾標號：D371-6D372-6D402-6V846C222Y0.5910.120.3005H10.0GY7.5G5.0G表4樣品的孟塞爾標號CIECIE1931xyz色4所示。4ΔLΔH和彩度差Δ用（2）中的下標表示方法：V(L)V(L)CHΔ402.5Δ205Δ-202.5表5樣品的孟塞爾色差D371-6樣品的明度最高；色調(diào)差反映出相鄰樣品間的色調(diào)間隔變化基本相等，顏色外貌變化連續(xù)。CIE附表一、不同光源照明下的樣品輻射強度分布數(shù)據(jù)樣品 D65光源照明下樣品的輻射強度分布/W/Sr/m2 A光源照明下樣品的輻射強度分布/W/Sr/m2波長/nm白板D371-6D372-6D402-6白板D371-6D372-6D402-6-3.80000E+023.80000E+023.80000E+023.80000E+023.80000E+023.80000E+023.80000E+023.80000E+02-7.80000E+027.80000E+027.80000E+027.80000E+027.80000E+027.80000E+027.80000E+027.80000E+02-4.00000E+004.00000E+004.00000E+004.00000E+004.00000E+004.00000E+004.00000E+004.00000E+003804.55133E-041.44371E-041.57529E-041.44491E-042.32186E-041.16725E-041.20102E-041.03534E-043845.54376E-042.02178E-042.27523E-041.97337E-042.74368E-041.41539E-041.41489E-041.10455E-043886.99016E-043.09035E-043.12319E-042.68607E-042.91222E-041.56879E-041.59854E-041.22462E-043928.30239E-044.04869E-044.15228E-043.61862E-043.27628E-041.85478E-041.78110E-041.66248E-043961.00590E-035.54174E-045.92652E-044.87171E-043.92047E-042.22151E-042.43776E-041.90847E-044001.61606E-039.97183E-041.02616E-038.28892E-044.24288E-042.84988E-042.93728E-042.23719E-044042.16250E-031.37368E-031.43470E-031.14990E-034.79423E-043.31214E-043.51312E-042.73890E-044081.51540E-031.06329E-031.11068E-038.67085E-045.20650E-044.01696E-044.16837E-043.25151E-044121.14302E-038.87095E-049.22903E-046.96528E-045.79364E-044.76517E-044.85202E-043.58884E-044161.30599E-031.05591E-031.09604E-038.21042E-046.31395E-045.24833E-045.46161E-044.01364E-044201.58983E-031.28929E-031.33992E-039.93763E-046.76418E-045.68521E-045.97391E-044.34810E-044241.91090E-031.55670E-031.62993E-031.21222E-037.41076E-046.24937E-046.51737E-044.73836E-044282.29416E-031.87671E-031.96278E-031.47118E-038.06657E-046.74159E-047.03459E-045.19417E-044324.76241E-033.86034E-034.04219E-033.03458E-038.66683E-047.20301E-047.65038E-045.60845E-044365.99239E-034.80900E-035.07938E-033.82901E-039.25297E-047.74052E-048.20821E-046.11894E-044403.14089E-032.57813E-032.74337E-032.07689E-039.86524E-048.28954E-048.84625E-046.61531E-044441.99041E-031.62097E-031.71963E-031.32174E-031.05473E-038.87220E-049.50072E-047.17751E-044482.08931E-031.70910E-031.81730E-031.39311E-031.12323E-039.47486E-041.01458E-037.64178E-044522.17705E-031.78561E-031.89444E-031.45652E-031.20060E-031.01009E-031.08188E-038.13962E-044562.24414E-031.84680E-031.97805E-031.50405E-031.27785E-031.07560E-031.16270E-038.75283E-044602.32863E-031.91781E-032.05895E-031.55455E-031.36262E-031.15596E-031.25415E-039.26982E-044642.38863E-031.97937E-032.15101E-031.60083E-031.45558E-031.23693E-031.34999E-039.92273E-044682.45319E-032.05311E-032.24281E-031.64664E-031.54142E-031.31851E-031.45859E-031.05471E-034722.50342E-032.11504E-032.32823E-031.68287E-031.63294E-031.42228E-031.57431E-031.12071E-034762.52904E-032.16966E-032.38788E-031.70332E-031.73525E-031.52844E-031.69786E-031.18838E-034802.56468E-032.22443E-032.46610E-031.73310E-031.83962E-031.62884E-031.82018E-031.26283E-034842.58739E-032.27093E-032.52020E-031.75232E-031.94123E-031.74592E-031.94953E-031.33617E-034882.61062E-032.31840E-032.55040E-031.76571E-032.04933E-031.86484E-032.05938E-031.41898E-034922.62554E-032.36251E-032.57894E-031.79246E-032.15088E-031.97989E-032.17668E-031.49921E-034962.60346E-032.36123E-032.57351E-031.79199E-032.26163E-032.10254E-032.29780E-031.58795E-035002.60191E-032.38124E-032.56597E-031.79420E-032.37557E-032.22728E-032.40921E-031.67136E-035042.60231E-032.40503E-032.55940E-031.81041E-032.48473E-032.33774E-032.51505E-031.75835E-035082.59120E-032.41591E-032.55915E-031.82644E-032.59042E-032.46963E-032.63861E-031.86063E-035122.61111E-032.44274E-032.56547E-031.84858E-032.71765E-032.60435E-032.75056E-031.96404E-035162.62355E-032.46684E-032.56471E-031.86090E-032.84600E-032.72908E-032.86400E-032.05963E-035202.62100E-032.45391E-032.54157E-031.86643E-032.96948E-032.84527E-032.97238E-032.16161E-035242.61415E-032.44146E-032.51687E-031.86557E-033.09210E-032.97051E-033.08077E-032.25737E-035282.59902E-032.43175E-032.48164E-031.85977E-033.22747E-033.08934E-033.17934E-032.35698E-035322.61438E-032.43922E-032.47321E-031.86793E-033.36802E-033.20183E-033.29224E-032.45814E-035362.71411E-032.50574E-032.53786E-031.92769E-033.50494E-033.32129E-033.39367E-032.54757E-035403.69882E-033.40324E-033.39747E-032.59904E-033.63842E-033.43879E-033.49267E-032.63660E-035445.81640E-035.28067E-035.25394E-034.03705E-033.78064E-033.54266E-033.57038E-032.71625E-035484.65883E-034.25890E-034.24555E-033.27047E-033.89764E-033.63683E-033.64203E-032.77972E-035522.66028E-032.45272E-032.40872E-031.86124E-034.02401E-033.73457E-033.69916E-032.83010E-035562.41063E-032.16628E-032.10022E-031.62477E-034.16332E-033.82984E-033.74984E-032.88495E-035602.40896E-032.14744E-032.06273E-031.60002E-034.28437E-033.91109E-033.79592E-032.92439E-035642.40306E-032.12621E-032.02437E-031.56567E-034.39801E-033.99764E-033.83820E-032.95644E-035682.42722E-032.13772E-032.00587E-031.55742E-034.50759E-034.07499E-033.86361E-032.97964E-035722.72943E-032.38072E-032.21407E-031.72183E-034.61930E-034.15004E-033.90995E-033.01470E-035763.24313E-032.79849E-032.58257E-032.00666E-034.72307E-034.22819E-033.94956E-033.04262E-035802.97363E-032.57266E-032.36618E-031.83632E-034.84229E-034.31461E-034.00179E-033.08011E-035842.48825E-032.15700E-031.97002E-031.52546E-034.97283E-034.40315E-034.05648E-033.12418E-035882.42154E-032.06008E-031.88307E-031.44698E-035.10484E-034.49204E-034.12188E-033.17530E-035922.42915E-032.05957E-031.86057E-031.43958E-035.24642E-034.58904E-034.17648E-033.21702E-035962.43535E-032.05534E-031.84094E-031.41910E-035.39977E-034.67624E-034.23310E-033.26320E-036002.44989E-032.04613E-031.81906E-031.40761E-035.54164E-034.76314E-034.30028E-033.30419E-036042.45100E-032.02705E-031.80651E-031.39105E-035.66375E-034.84745E-034.34713E-033.33724E-036082.46532E-032.02902E-031.79604E-031.38532E-035.82841E-034.95107E-034.41864E-033.39139E-036122.46878E-032.02495E-031.78749E-031.37364E-035.98522E-035.06022E-034.51791E-033.46443E-036162.44834E-032.00598E-031.76591E-031.36032E-036.12574E-035.17763E-034.61145E-033.52993E-036202.42459E-031.98427E-031.74100E-031.34084E-036.27583E-035.29051E-034.70539E-033.61203E-036242.39730E-031.96384E-031.72781E-031.32844E-036.43049E-035.41342E-034.81901E-033.70078E-036282.37457E-031.93276E-031.70592E-031.30956E-036.56664E-035.53363E-034.92854E-033.78087E-036322.34165E-031.90020E-031.67329E-031.28212E-036.69110E-035.64225E-035.01324E-033.85391E-036362.25351E-031.85455E-031.62900E-031.25117E-036.82092E-035.75951E-035.12340E-033.94057E-036402.21502E-031.82240E-031.60358E-031.23902E-036.96384E-035.88525E-035.25098E-034.03876E-036442.17448E-031.77353E-031.58436E-031.21729E-037.11165E-036.02235E-035.39477E-034.14598E-036482.10878E-031.73794E-031.54309E-031.19101E-037.27268E-036.17644E-035.53596E-034.27867E-036522.04682E-031.70416E-031.52678E-031.17433E-037.42030E-036.32803E-035.69130E-034.40762E-036562.00065E-031.65108E-031.50784E-031.15285E-037.60102E-036.48400E-035.85575E-034.53246E-036601.93569E-031.60982E-031.44186E-031.12085E-037.74020E-036.62818E-035.99143E-034.64791E-036641.83495E-031.52373E-031.36959E-031.07560E-037.88367E-036.75854E-036.10652E-034.74513E-036681.76453E-031.45817E-031.32334E-031.03309E-038.02334E-036.84548E-036.21907E-034.83914E-036721.69996E-031.40254E-031.26149E-039.77067E-048.17355E-036.95894E-036.30162E-034.91204E-036761.60976E-031.33813E-031.18396E-039.28437E-048.38204E-037.08905E-036.40997E-034.99551E-036801.55257E-031.24039E-031.12359E-038.78792E-048.64627E-037.25122E-036.53271E-035.09369E-036841.47227E-031.19467E-031.06223E-038.23308E-048.84207E-037.34032E-036.61208E-035.14297E-036881.41455E-031.13460E-039.90668E-047.81063E-049.04527E-037.44852E-036.67606E-035.18578E-036921.33711E-031.06263E-039.39896E-047.29035E-049.28226E-037.54305E-036.73528E-035.22507E-036961.27293E-039.78898E-048.74921E-046.76288E-049.53242E-037.64143E-036.79797E-035.26388E-037001.19797E-039.21393E-048.01905E-046.26712E-049.74115E-037.73798E-036.84219E-035.29727E-037041.14491E-038.62116E-047.54998E-045.91673E-049.95518E-037.84551E-036.90485E-035.34630E-037081.07531E-038.19708E-047.21527E-045.59534E-041.01715E-027.97959E-037.01029E-035.43350E-037129.97327E-047.61629E-046.59345E-045.08995E-041.03696E-028.13069E-037.14537E-035.55545E-037169.30354E-047.13361E-046.15969E-044.81724E-041.05841E-028.30151E-037.31816E-035.69704E-037208.86395E-046.74687E-045.93621E-044.68175E-041.07697E-028.49026E-037.52824E-035.86778E-037248.13499E-046.19107E-045.53443E-044.45303E-041.09450E-028.69758E-037.79119E-036.07828E-037287.85540E-045.95492E-045.22266E-044.19597E-041.11109E-028.91775E-038.08760E-036.32414E-037327.45345E-045.81237E-045.05152E-044.04624E-041.12736E-029.14677E-038.39107E-036.59459E-037366.81412E-045.46867E-045.06748E-044.02646E-041.14221E-029.37986E-038.71826E-036.89905E-037406.28252E-045.09321E-044.82395E-043.89731E-041.15702E-029.65739E-039.14300E-037.26198E-037445.85118E-044.80991E-044.50630E-043.69985E-041.16981E-029.91882E-039.53774E-037.63236E-037485.68934E-044.71845E-044.61772E-043.77023E-041.18194E-021.01254E-029.90469E-037.98154E-037525.24792E-044.25650E-044.40620E-043.62399E-041.19287E-021.03249E-021.02873E-028.32646E-037564.88184E-044.03512E-044.03402E-043.26741E-041.20432E-021.05365E-021.05963E-028.63344E-037605.01676E-044.39346E-044.23848E-043.41439E-041.21460E-021.06783E-021.08195E-028.87110E-037644.61504E-044.00950E-043.97287E-043.28435E-041.22659E-021.08032E-021.10214E-029.07737E-037684.09062E-043.42047E-043.57169E-043.02030E-041.23603E-021.09498E-021.12157E-029.23713E-037723.84262E-043.24548E-043.26183E-042.64169E-041.24798E-021.10765E-021.13536E-029.39253E-037763.36758E-042.82567E-042.81212E-042.30712E-041.25902E-021.11785E-021.15002E-029.52856E-037803.02553E-042.71321E-042.61597E-042.10891E-041.26837E-021.13003E-021.16207E-029.64669E-03附表二、CIE1931標準色度觀察者光譜三刺激值（間隔1nm）波長x(λ)y(λ)z(λ)波長x(λ)y(λ)z(λ)波長x(λ)y(λ)z(λ)3600.00010.00000.00064800.09560.13900.81306001.06220.63100.00083610.00010.00000.00074810.08730.14470.77056011.06070.61820.00083620.00020.00000.00084820.07930.15050.72946021.05840.60530.00073630.00020.00000.00094830.07170.15650.68996031.05520.59250.00073640.00020.00000.00104840.06460.16270.65216041.05100.57960.00063650.00020.00000.00114850.05800.16930.61626051.04560.56680.00063660.00030.00000.00124860.05190.17620.58236061.03900.55400.00053670.00030.00000.00144870.04630.18360.55046071.03140.54110.00053680.00030.00000.00154880.04120.19130.52036081.02270.52840.00043690.00040.00000.00174890.03640.19940.49206091.01300.51560.00043700.00040.00000.00194900.03200.20800.46526101.00260.50300.00033710.00050.00000.00224910.02790.21710.43996110.99140.49050.00033720.00050.00000.00244920.02410.22670.41626120.97930.47800.00033730.00060.00000.00274930.02070.23690.39396130.96650.46570.00033740.00070.00000.00314940.01750.24750.37296140.95280.45340.00033750.00070.00000.00354950.01470.25860.35336150.93840.44120.00023760.00080.00000.00404960.01220.27020.33496160.92320.42910.00023770.00100.00000.00454970.00990.28230.31766170.90720.41700.00023780.00110.00000.00524980.00800.29510.30136180.89050.40500.00023790.00120.00000.00584990.00630.30860.28626190.87290.39300.00023800.00140.00000.00655000.00490.32300.27206200.85440.38100.00023810.00150.00000.00715010.00380.33840.25886210.83510.36890.00023820.00160.00000.00775020.00290.35470.24656220.81490.35680.00023830.00180.00010.00855030.00240.37170.23486230.79420.34480.00013840.00200.00010.00945040.00220.38930.22356240.77300.33280.00013850.00220.00010.01065050.00240.40730.21236250.75140.32100.00013860.00250.00010.01205060.00290.42560.20126260.72960.30930.00013870.00290.00010.01375070.00380.44430.19016270.70760.29790.00013880.00330.00010.01565080.00520.46340.17926280.68560.28660.00013890.00380.00010.01775090.00700.48290.16866290.66380.27560.00013900.00420.00010.02005100.00930.50300.15826300.64240.26500.00013910.00480.00010.02255110.01210.52360.14816310.62150.25480.00003920.00530.00020.02525120.01550.54450.13846320.60110.24490.00003930.00600.00020.02835130.01950.56570.12906330.58110.23530.00003940.00670.00020.03195140.02400.58700.12016340.56140.22610.00003950.00760.00020.03625150.02910.60820.11176350.54190.21700.00003960.00880.00020.04145160.03480.62930.10396360.52260.20820.00003970.01000.00030.04755170.04110.65030.09676370.50350.19950.00003980.01140.00030.05415180.04800.67090.09006380.48470.19120.00003990.01290.00040.06105190.05540.69080.08386390.46620.18300.00004000.01430.00040.06785200.06330.71000.07836400.44790.17500.00004010.01570.00040.07455210.07160.72820.07326410.42990.16720.00004020.01710.00050.08145220.08050.74550.06876420.41210.15960.00004030.01880.00050.08925230.08970.76200.06466430.39460.15230.00004040.02070.00060.09855240.09950.77780.06086440.37750.14510.00004050.02320.00060.11025250.10960.79320.05736450.36080.13820.00004060.02620.00070.12465260.12020.80810.05396460.34450.13150.00004070.02980.00080.14175270.13110.82250.05076470.32850.12500.00004080.03390.00090.16135280.14240.83630.04786480.31300.11880.00004090.03850.00110.18335290.15390.84950.04496490.29800.11280.00004100.04350.00120.20745300.16550.86200.04226500.28350.10700.00004110.04900.00140.23375310.17730.87380.03956510.26950.10150.00004120.05500.00150.26265320.18910.88500.03696520.25610.09620.00004130.06170.00170.29485330.20120.89550.03456530.24320.09110.00004140.06920.00190.33085340.21340.90540.03216540.23070.08630.00004150.07760.00220.37135350.22570.91490.02986550.21870.08160.00004160.08700.00250.41625360.23830.92370.02776560.20710.07710.00004170.09720.00280.46555370.25110.93210.02576570.19590.07280.00004180.10840.00310.51975380.26400.93990.02386580.18520.06870.00004190.12080.00350.57955390.27710.94720.02206590.17480.06480.00004200.13440.00400.64565400.29040.95400.02036600.16490.06100.00004210.14940.00450.71855410.30390.96030.01876610.15540.05740.00004220.16540.00520.79675420.31760.96600.01726620.14620.05400.00004230.18200.00580.87785430.33140.97130.01596630.13750.05070.00004240.19860.00650.95945440.34550.97600.01466640.12910.04750.00004250.21480.00731.03915450.35970.98030.01346650.12120.04460.00004260.23020.00811.11545460.37410.98410.01236680.09970.03660.00004270.24490.00891.18855470.38860.98740.01136700.08740.03200.00004280.25880.00981.25815480.40340.99030.01046720.07680.02810.00004290.27180.01071.32395490.41830.99280.00956750.06360.02320.00004300.28390.01161.38565500.43340.99500.00886760.05980.02180.00004310.29490.01261.44265510.44880.99670.00806800.04680.01700.00004320.30490.01361.49485520.46430.99810.00746840.03540.01280.00004330.31380.01461.54225530.48010.99910.00686850.03290.01190.00004340.32160.01571.58495540.49600.99970.00626880.02630.00950.00004350.32850.01681.62305550.51211.00000.00576900.02270.00820.00004360.33440.01801.65645560.52830.99990.00536920.01960.00710.00004370.33920.01921.68535570.54470.99930.00496950.01580.00570.00004380.34310.02051.70995580.56120.99830.00456960.01480.00530.00004390.34610.02171.73045590.57780.99690.00427000.01140.00410.00004400.34830.02301.74715600.59450.99500.00397040.00870.00310.00004410.34960.02431.76005610.61120.99260.00367050.00810.00290.00004420.35010.02561.76965620.62800.98970.00347080.00660.00240.00004430.35000.02701.77635630.64480.98640.00317100.00580.00210.00004440.34930.02841.78045640.66160.98270.00297120.00510.00180.00004450.34810.02981.78265650.67840.97860.00277150.00410.00150.00004460.34640.03131.78305660.69520.97410.00267160.00380.00140.00004470.34430.03291.78175670.71210.96920.00247200.00290.00100.00004480.34180.03451.77925680.72880.96390.00237240.00220.00080.00004490.33910.03621.77595690.74550.95810.00227250.00200.00070.00004500.33620.03801.77215700.76210.95200.00217280.00170.00060.00004510.33320.03981.76835710.77850.94550.00207300.00140.00050.00004520.33000.04181.76405720.79480.93850.00197320.00120.00050.00004530.32660.04381.75895730.81090.93120.00197350.00100.00040.00004540.32290.04581.75255740.82680.92350.00187360.00090.00030.00004550.31870.04801.74415750.84250.91540.00187400.00070.00020.00004560.31400.05021.73365760.85790.90700.00187440.00050.00020.00004570.30890.05261.72095770.87310.89830.00177450.00050.00020.00004580.30330.05501.70595780.88790.88920.00177480.00040.00010.00004590.29730.05751.68875790.90230.87980.00177500.00030.00010.00004600.29080.06001.66925800.91630.87000.00177520.00030.00010.00004610.28400.06261.64755810.92980.85990.00167550.00020.00010.00004620.27670.06531.62345820.94280.84940.00167560.00020.00010.00004630.26890.06801.59605830.95530.83860.00157600.00020.00010.00004640.26040.07091.56455840.96720.82760.00157640.00010.00000.00004650.25110.07391.52815850.97860.81630.00147650.00010.00000.00004660.24080.07701.48615860.98940.80480.00137680.00010.00000.00004670.22990.08031.43955870.99950.79310.00137700.00010.00000.00004680.21840.08371.38995881.00910.78120.00127720.00010.00000.00004690.20680.08721.33875891.01800.76920.00117750.00010.00000.00004700.19540.09101.28765901.02630.75700.00117760.00010.00000.00004710.18420.09491.23745911.03400.74480.00117800.00000.00000.00004720.17330.09901.18785921.04100.73240.00104730.16270.10341.13885931.04720.72000.001