现代颜色技术原理及应用实验报告

实验一、光源色的测量及照明光对物体色的影响一、实验目的通过演示、观察和测量，了解照明光的改变对所观察物体颜色视觉的影响；PR-1980B分光辐射计的组成和主要性能，并掌握使用方法。二、实验仪器和设备PR1980B光谱辐射计；标准光源箱；微型计算机；）样品（，，。三、实验原理CIE的均匀色空间中，比较出其颜色变化。四、实验步骤演示和观察。将样品放在标准光源箱中，先打开D65D65光源；再打开A光源，观察同一样品，注意样品的颜色变化，描述主观颜色感觉；CIE45/0五、实验结果及分析D65变化为A时的颜色变化感觉：本实验中我使用的样品编号分别为D371-6，D372-6，D402-6，其色块上的英文名称分别是、、（译为青瓷、绿松石、绿洲，在日光下观察呈现出不同饱和程度的青绿色。当样品放置在D65光源的照射下，样品的颜色与在日光下观察的颜色基本一致，仍呈现出不同色调、不同饱和程度的青绿色；但当样品在A颜色有明显差别。样品在不同照明光源下的色品坐标变化（使用CIE1976 L*u*v*均匀颜色空间的明差、彩度差、饱和度差和总色差表示：．不同光源照明下的样品辐射强度分布数据（详见附表一；在D65光源照射下的样品辐射强度分布如下图所示：图1 D65光源照明时白板的辐射强度分布图2 D65光源照明时三种样品的辐射强度分布在A光源照射下的样品辐射强度分布如下图所示：图3A光源照明时白板的辐射强度分布图4A光源照明时三种样品的辐射强度分布B．利用Matlab数学软件计算得到的样品三刺激值及色品坐标；CIE1931标准色度观察者（附表二CIE1931颜色三刺激值、CIE1931色品坐标、CIE1976UCSCIE1976L*u*v*色品坐标：D65光源照射下的样品A光源照射下的样品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 样品三刺激值及色品坐标-0.4145294291.052444045MatlabCIE1931色品图上定量的表示出来，如下图所示：图5 CIE1931色度空间中不同照明光源下样品颜色的变化情况D371-6，D372-6，D402-6D65光源照明ACIE1931色品图可以看到在D65AD371-6样品的饱和度变化最大。图6彩色CIE1931色品图C．通过色品坐标计算出样品在不同光源照明下的色品坐标变化。B1CIE1976L*u*v*均匀颜色空间的色品坐标，可以通过该均匀色空间的相应色差计算公式得到三种样品在不同光源照明下所产生的各种色差的大小：D371-6D372-6D402-6明度差ΔL*-0.444669170.0747639370.086399945彩度差ΔC*1.027565621-4.521379729-3.303987342饱和度差ΔS0.011233735-0.04807145-0.039193585色调差ΔH*4.7415811270.3369602450.366750702总色差ΔE*4.8719824884.5345348723.325402741表2 不同照明光源所产生的色差2CIE1976L*u*v*均匀颜色空间的总的颜色差异基本相同，而且D372-6、D402-6两种样品的其他色差也基本一致，这反映出这两种颜色更为接近，在光源变化之后两者对人眼的感觉还基本一致。对于样品D371-6来说，其彩度有明显变化，变换光源后与其他两种样品的颜色差异会加大。CIE1976L*u*v*u’-v’D65光源照明变为A光源照明时，样品色品坐标的变化：将（2）CIE1976w’u’v’CIE1976UCS均匀色品图上，可以从图上直观的看到颜色的变化情况：图7 CIE1976UCS均匀色空间中不同照明光源下样品颜色的变化情况观察上图，可以发现在CIE1976UCS5CIE1931色品图中的坐标分布，其覆盖范围明显缩小。这是因为人眼对绿色CIE1931CIE1976样品的色品坐标与其他两个样品的坐标仍然相差较多图上红、绿、蓝点依然分别代表样品D371-6，D372-6，D402-6的色品坐标，连线左侧D65A光源照射下的色品坐标，图5CIE1976UCS图8 彩色CIE1976UCS色品图7D65现出来的颜色基本与日光下观察的颜色一致，比较符合我们日常对物体颜色的认识，而在光源照明下物体的颜色会发生改变，会向黄色区域偏移，产生一定的色偏。实验二、颜色样品光谱反射的测量及色差计算一、实验目的通过对颜色样品的测量，得到样品的光谱反射率，并计算样品的色度和色差；Lambda19紫外可见红外分光光度计的组成和主要性能，并掌握其使用方法。二、实验仪器和设备Lambda19紫外可见近红外分光光度计；微型计算机及打印机；样品。三、实验原理建立在颜色匹配实验基础上的CIEΦ（λ）CIE标准色度观察者的光谱三刺激值（观察视角为°°时，采用（λ、（λ，（λ，观察视角在°°之间，采用x（λy（λz（λ）的乘积。三刺激值的计算理论上10 10 10应当对波长连续变化的单色光在可见光范围内（380nm~780nm）求积分，但是在实际测量Δλ下求和来近似积分：Xk()x() X 10

()x10

101Yk()y() （1） 或 YZk()z() 1

k()y0 10 k ()

（2）1010 10 10当被测样品是非自发光体，且为不透明时，式中的Φ（λ）为()()S() （3）或 ()()S() （4））为照明光源的相对光谱功率分布，一般采用CIE())为物体的光谱反射比。本实验采用Lambda19分光光度计在8°：di和8°：de的条件下，测量不透明非自发光的颜色样品的相对光谱反射比()。测出两个样品的1

()和2

()后，用（4）式分2别计算出)和 (2

。假定被测样品主要在中等日光下观察，视角为4°~10°之间，因10S()CIED65，三刺激值用（2）10

用把所选照明体的Y值调整到100的方法求得：k 100

（5）10 S()y ()10CIE1976L*a*b*均匀颜色空间的色差公式计算色差。四、实验方法及步骤Lambda19紫外可见近红外分光光度计的电源预热；UVCSS测量软件；键入（；进入测量状态：先进行标定（选择，然后打开测量室，放入样品，在进行测量；LISTPRINT键，打印测量数据。五、实验结果及分析分别计算出这三个样品在CIED65标准照明体下10°视场标准观察者的X，Y，Z和色品坐标x，y，z；根据实验原理，可以通过样品的光谱反射因数数据（详见附表三）和D65光源的光谱辐射功率（附表三）以及E4标准色度观察者光谱三刺激值（附表四品的三刺激值。其中，CIE标准光源D65的光谱辐射功率分布如下图所示：图1 CIED65光源的光谱辐射功率分布经过Lambda19分光光度计测得的三种样品的光谱反射因数如下图2所示：图2样品的光谱反射因数已知上述数据，代入公式（（）色品坐标：XD371-664.39954021D372-659.6759161D402-644.80413879Y71.3718233269.1709208450.80306904Z70.9210536975.076891754.56625375x0.3115718570.2926384120.298349244y0.3453045070.3391999610.338295918z0.3431236360.3681616270.363354838表1样品的CIE1964三刺激值及色品坐标CIE1931许改变。CIE1976L*a*b*L*，a*，b*，Cab*,hab*；（中计算得到的yz坐标代入书中的E6*）中，得到相应的色品坐标：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样品的CIE1976 L*a*b色品坐标*2CIE1976a*说明样品的颜色的主色调基本一致；而对于样品的黄蓝度来说，D371-6样品的坐标值与其他样品的差异较大，也充分反映出它与其他样品的颜色差异。通过以上分析，可以发现它与CIE1931xyz色品坐标的不同，它可以单从坐标数值的大小就可判断出样品颜色之间在亮度、色调等方面的差异，因而使用起来更加方便直观。这两个样品的明度差ΔL*，红绿度差Δa*，黄蓝度差Δ，彩度差ΔCab*，色调差ΔHa*和总色差ΔEab（白色完全漫射面在E5标准照明体下°视场标准观察者的三刺、Y10=100、=107.381）根据（）计算出的色品坐标（表，可以很容易地使用书上公式（）求出样品间的色差（这里，我们把三种样品编号，D371-6、D372-6、D402-61,2,3号样品，相应色差的下标即表示两种编号的样品间的色差：ΔΔL*121.076725明度差ΔL*ΔL*1311.10578彩度差ΔCab*ΔCab-0.8906ΔL*2310.02905Δa*126.378458红绿度差ΔΔa*132.192901色调差ΔHab*ΔHab*134.993766Δa*23-4.18556Δb*125.19411黄蓝度差ΔΔb*134.574063总色差ΔEabΔEab1312.20939Δb*23-0.62005ΔCab-5.09075ΔCab4.200154ΔHab6.46125ΔHab0.511906ΔEab128.295953ΔEab2310.88509表3三种样品的CIE1976L*a*b*均匀色空间的色差我们在（2）L*a*b*3色调等方面有所不同；从红绿度差和黄蓝度差以及色调差的数据上分析，显而易见，样品D371-6与其他样品的差异较大，是最容易从样品中分辩出来的颜色。ΔLΔH差Δ。对照（1）CIE1931CIE色品坐标表，查出与样品坐标相近的孟塞尔标号：D371-6D372-6D402-6V846C222Y0.5910.120.3005H10.0GY7.5G5.0G表4样品的孟塞尔标号CIECIE1931xyz色4所示。4ΔLΔH和彩度差Δ用（2）中的下标表示方法：V(L)V(L)CHΔ402.5Δ205Δ-202.5表5样品的孟塞尔色差D371-6样品的明度最高；色调差反映出相邻样品间的色调间隔变化基本相等，颜色外貌变化连续。CIE附表一、不同光源照明下的样品辐射强度分布数据样品 D65光源照明下样品的辐射强度分布/W/Sr/m2 A光源照明下样品的辐射强度分布/W/Sr/m2波长/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标准色度观察者光谱三刺激值（间隔1nm）波长x(λ)y(λ)z(λ)波长x(λ)y(λ)z(λ)波长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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