apl>" <-APL2-------------------- sam293.txt ----------------------------> apl>Lex 'tangr' 1 apl>Gz tangr a;b;c;d;e;f;g;h;k;m;n;p;s;t;u;v;w;x;y [1] "Graphs the imaginary coefficient of tan. [2] "Call format: [3] "z = 0 if header information to be generated, 1 otherwise. [4] " b = Imaginary coefficient of argument. [5] " | c = Number of points to generate. [6] " | | f = length of y axis. [7] " | | | g = length of x axis. [8] " | | | | [9] " V V V V [10] "z tangr 1,300,6,20 [11] (b c f g)#a [12] e#f%2 " midpoint vertically of graph. [13] k#(_g%2)+gX(-1+Ic+1)%c [14] h#(k+g%2),',',[1.5]y#e+u#11O3O(bX0j1)+k [15] m#I-1+g " Integer points on x axis. [16] n#m_g%2 " Values to display at integer points on x. [17] s#I-1+f " Integer points on y axis. [18] t#s_e " Values to display at integer points on y. [19] $dataXIz [20] '\setlength{\unitlength}{',(F4.5%g),'in}' [21] '\begin{picture}(',(Fg),',',(Ff),')' [22] '%Draw a frame around the picture' [23] ' \put(0,0){\line(1,0){',(Fg),'}}' " bottom horizontal [24] ' \put(0,0){\line(0,1){',(Ff),'}}' " left vertical [25] ' \put(0,',(Ff),'){\line(1,0){',(Fg),'}}' " top horizontal [26] ' \put(',(Fg),',0){\line(0,1){',(Ff),'}}' " right vertical [27] '%Draw the x axis' [28] ' \put(0,',(Fe),'){\line(1,0){',(Fg),'}}' " horizontal x axis [29] (`Z' \put('),((m,[1.5]','),e),`Z'){\circle*{.05}}' [30] (`Z' \put('),(-.1+m+-.5Xn<0),',',(e_.5),(`Z'){$'),n,[1.5]`Z'$}' [31] '%Draw the y axis' [32] (`Z' \put(0,'),s,[1.5]`Z'){\circle*{.05}}' [33] (`Z' \put(.05,'),s,(`Z'){$'),t,[1.5]`Z'$}' [34] data:'%Label the curve' [35] v#1Y(u=S/u#|u)/k " x coord where maximum/mininum occurs [36] w#(v=k)/y " y coord of maximum/minimum [37] '\put(',(Fv+g%2),',',(Fw+(.075Xb>0)_.5Xb<0),'){n\#',(Fb),'}' [38] '%Draw the data points' [39] (`Z'\put('),h,`Z'){\circle*{.04}}' [40] G apl>0 tangr 1,300,6,20 \setlength{\unitlength}{ .225in} \begin{picture}(20,6) %Draw a frame around the picture \put(0,0){\line(1,0){20}} \put(0,0){\line(0,1){6}} \put(0,6){\line(1,0){20}} \put(20,0){\line(0,1){6}} %Draw the x axis \put(0,3){\line(1,0){20}} \put( 1 , 3 ){\circle*{.05}} \put( 2 , 3 ){\circle*{.05}} \put( 3 , 3 ){\circle*{.05}} \put( 4 , 3 ){\circle*{.05}} \put( 5 , 3 ){\circle*{.05}} \put( 6 , 3 ){\circle*{.05}} \put( 7 , 3 ){\circle*{.05}} \put( 8 , 3 ){\circle*{.05}} \put( 9 , 3 ){\circle*{.05}} \put( 10 , 3 ){\circle*{.05}} \put( 11 , 3 ){\circle*{.05}} \put( 12 , 3 ){\circle*{.05}} \put( 13 , 3 ){\circle*{.05}} \put( 14 , 3 ){\circle*{.05}} \put( 15 , 3 ){\circle*{.05}} \put( 16 , 3 ){\circle*{.05}} \put( 17 , 3 ){\circle*{.05}} \put( 18 , 3 ){\circle*{.05}} \put( 19 , 3 ){\circle*{.05}} \put( .4 , 2.5 ){$ -9 $} \put( 1.4 , 2.5 ){$ -8 $} \put( 2.4 , 2.5 ){$ -7 $} \put( 3.4 , 2.5 ){$ -6 $} \put( 4.4 , 2.5 ){$ -5 $} \put( 5.4 , 2.5 ){$ -4 $} \put( 6.4 , 2.5 ){$ -3 $} \put( 7.4 , 2.5 ){$ -2 $} \put( 8.4 , 2.5 ){$ -1 $} \put( 9.9 , 2.5 ){$ 0 $} \put( 10.9 , 2.5 ){$ 1 $} \put( 11.9 , 2.5 ){$ 2 $} \put( 12.9 , 2.5 ){$ 3 $} \put( 13.9 , 2.5 ){$ 4 $} \put( 14.9 , 2.5 ){$ 5 $} \put( 15.9 , 2.5 ){$ 6 $} \put( 16.9 , 2.5 ){$ 7 $} \put( 17.9 , 2.5 ){$ 8 $} \put( 18.9 , 2.5 ){$ 9 $} %Draw the y axis \put(0, 1 ){\circle*{.05}} \put(0, 2 ){\circle*{.05}} \put(0, 3 ){\circle*{.05}} \put(0, 4 ){\circle*{.05}} \put(0, 5 ){\circle*{.05}} \put(.05, 1 ){$ -2 $} \put(.05, 2 ){$ -1 $} \put(.05, 3 ){$ 0 $} \put(.05, 4 ){$ 1 $} \put(.05, 5 ){$ 2 $} %Label the curve \put(2.133333,4.387882 ){n\#1} %Draw the data points \put( 0 , 3.869693 ){\circle*{.04}} \put( .06666667 , 3.845812 ){\circle*{.04}} \put( .13333333 , 3.824956 ){\circle*{.04}} \put( .2 , 3.80712 ){\circle*{.04}} \put( .26666667 , 3.79228 ){\circle*{.04}} \put( .33333333 , 3.780400 ){\circle*{.04}} \put( .4 , 3.77144 ){\circle*{.04}} \put( .46666667 , 3.765367 ){\circle*{.04}} \put( .533333 , 3.762155 ){\circle*{.04}} \put( .6 , 3.76179 ){\circle*{.04}} \put( .666667 , 3.76427 ){\circle*{.04}} \put( .733333 , 3.769607 ){\circle*{.04}} \put( .8 , 3.777823 ){\circle*{.04}} \put( .866667 , 3.78895 ){\circle*{.04}} \put( .933333 , 3.803027 ){\circle*{.04}} \put( 1 , 3.82009 ){\circle*{.04}} \put( 1.066667 , 3.84017 ){\circle*{.04}} \put( 1.133333 , 3.863276 ){\circle*{.04}} \put( 1.2 , 3.889386 ){\circle*{.04}} \put( 1.266667 , 3.918425 ){\circle*{.04}} \put( 1.333333 , 3.95025 ){\circle*{.04}} \put( 1.4 , 3.984619 ){\circle*{.04}} \put( 1.466667 , 4.021165 ){\circle*{.04}} \put( 1.533333 , 4.059371 ){\circle*{.04}} \put( 1.6 , 4.098544 ){\circle*{.04}} \put( 1.666667 , 4.137798 ){\circle*{.04}} \put( 1.733333 , 4.176059 ){\circle*{.04}} \put( 1.8 , 4.212086 ){\circle*{.04}} \put( 1.866667 , 4.244525 ){\circle*{.04}} \put( 1.933333 , 4.271998 ){\circle*{.04}} \put( 2 , 4.293212 ){\circle*{.04}} \put( 2.066667 , 4.307089 ){\circle*{.04}} \put( 2.133333 , 4.312882 ){\circle*{.04}} \put( 2.2 , 4.310273 ){\circle*{.04}} \put( 2.266667 , 4.299407 ){\circle*{.04}} \put( 2.333333 , 4.280873 ){\circle*{.04}} \put( 2.4 , 4.255639 ){\circle*{.04}} \put( 2.466667 , 4.224929 ){\circle*{.04}} \put( 2.533333 , 4.190104 ){\circle*{.04}} \put( 2.6 , 4.152539 ){\circle*{.04}} \put( 2.666667 , 4.113526 ){\circle*{.04}} \put( 2.733333 , 4.074208 ){\circle*{.04}} \put( 2.8 , 4.035542 ){\circle*{.04}} \put( 2.866667 , 3.998294 ){\circle*{.04}} \put( 2.933333 , 3.963046 ){\circle*{.04}} \put( 3 , 3.930219 ){\circle*{.04}} \put( 3.066667 , 3.900097 ){\circle*{.04}} \put( 3.133333 , 3.87286 ){\circle*{.04}} \put( 3.2 , 3.848607 ){\circle*{.04}} \put( 3.266667 , 3.827375 ){\circle*{.04}} \put( 3.333333 , 3.809167 ){\circle*{.04}} \put( 3.4 , 3.793957 ){\circle*{.04}} \put( 3.466667 , 3.781712 ){\circle*{.04}} \put( 3.533333 , 3.772393 ){\circle*{.04}} \put( 3.6 , 3.765964 ){\circle*{.04}} \put( 3.666667 , 3.762399 ){\circle*{.04}} \put( 3.733333 , 3.761681 ){\circle*{.04}} \put( 3.8 , 3.763809 ){\circle*{.04}} \put( 3.866667 , 3.76879 ){\circle*{.04}} \put( 3.933333 , 3.776648 ){\circle*{.04}} \put( 4 , 3.787412 ){\circle*{.04}} \put( 4.066667 , 3.801122 ){\circle*{.04}} \put( 4.133333 , 3.817813 ){\circle*{.04}} \put( 4.2 , 3.837518 ){\circle*{.04}} \put( 4.266667 , 3.860250 ){\circle*{.04}} \put( 4.333333 , 3.885990 ){\circle*{.04}} \put( 4.4 , 3.914673 ){\circle*{.04}} \put( 4.466667 , 3.946163 ){\circle*{.04}} \put( 4.533333 , 3.980234 ){\circle*{.04}} \put( 4.6 , 4.016535 ){\circle*{.04}} \put( 4.666667 , 4.054569 ){\circle*{.04}} \put( 4.733333 , 4.093666 ){\circle*{.04}} \put( 4.8 , 4.132965 ){\circle*{.04}} \put( 4.866667 , 4.171413 ){\circle*{.04}} \put( 4.933333 , 4.207789 ){\circle*{.04}} \put( 5 , 4.240748 ){\circle*{.04}} \put( 5.066667 , 4.268909 ){\circle*{.04}} \put( 5.133333 , 4.290963 ){\circle*{.04}} \put( 5.2 , 4.305797 ){\circle*{.04}} \put( 5.266667 , 4.312618 ){\circle*{.04}} \put( 5.333333 , 4.311052 ){\circle*{.04}} \put( 5.4 , 4.301185 ){\circle*{.04}} \put( 5.466667 , 4.283556 ){\circle*{.04}} \put( 5.533333 , 4.259089 ){\circle*{.04}} \put( 5.6 , 4.228985 ){\circle*{.04}} \put( 5.666667 , 4.194595 ){\circle*{.04}} \put( 5.733333 , 4.157297 ){\circle*{.04}} \put( 5.8 , 4.118398 ){\circle*{.04}} \put( 5.866667 , 4.079061 ){\circle*{.04}} \put( 5.933333 , 4.040269 ){\circle*{.04}} \put( 6 , 4.00281 ){\circle*{.04}} \put( 6.066667 , 3.967289 ){\circle*{.04}} \put( 6.133333 , 3.934144 ){\circle*{.04}} \put( 6.2 , 3.903675 ){\circle*{.04}} \put( 6.266667 , 3.876075 ){\circle*{.04}} \put( 6.333333 , 3.851448 ){\circle*{.04}} \put( 6.4 , 3.829841 ){\circle*{.04}} \put( 6.466667 , 3.811259 ){\circle*{.04}} \put( 6.533333 , 3.79568 ){\circle*{.04}} \put( 6.6 , 3.783070 ){\circle*{.04}} \put( 6.666667 , 3.773390 ){\circle*{.04}} \put( 6.733333 , 3.766604 ){\circle*{.04}} \put( 6.8 , 3.762686 ){\circle*{.04}} \put( 6.866667 , 3.761616 ){\circle*{.04}} \put( 6.933333 , 3.76339 ){\circle*{.04}} \put( 7 , 3.768018 ){\circle*{.04}} \put( 7.066667 , 3.775517 ){\circle*{.04}} \put( 7.133333 , 3.785920 ){\circle*{.04}} \put( 7.2 , 3.799262 ){\circle*{.04}} \put( 7.266667 , 3.815582 ){\circle*{.04}} \put( 7.333333 , 3.834913 ){\circle*{.04}} \put( 7.4 , 3.857269 ){\circle*{.04}} \put( 7.466667 , 3.882639 ){\circle*{.04}} \put( 7.533333 , 3.910963 ){\circle*{.04}} \put( 7.6 , 3.942116 ){\circle*{.04}} \put( 7.666667 , 3.975883 ){\circle*{.04}} \put( 7.733333 , 4.011932 ){\circle*{.04}} \put( 7.8 , 4.049784 ){\circle*{.04}} \put( 7.866667 , 4.088792 ){\circle*{.04}} \put( 7.933333 , 4.128119 ){\circle*{.04}} \put( 8 , 4.166736 ){\circle*{.04}} \put( 8.066667 , 4.203440 ){\circle*{.04}} \put( 8.133333 , 4.236897 ){\circle*{.04}} \put( 8.2 , 4.265727 ){\circle*{.04}} \put( 8.266667 , 4.288603 ){\circle*{.04}} \put( 8.333333 , 4.304381 ){\circle*{.04}} \put( 8.4 , 4.312225 ){\circle*{.04}} \put( 8.466667 , 4.311703 ){\circle*{.04}} \put( 8.533333 , 4.302844 ){\circle*{.04}} \put( 8.6 , 4.286133 ){\circle*{.04}} \put( 8.666667 , 4.262452 ){\circle*{.04}} \put( 8.733333 , 4.232975 ){\circle*{.04}} \put( 8.8 , 4.19904 ){\circle*{.04}} \put( 8.866667 , 4.16203 ){\circle*{.04}} \put( 8.933333 , 4.123263 ){\circle*{.04}} \put( 9 , 4.083923 ){\circle*{.04}} \put( 9.066667 , 4.045017 ){\circle*{.04}} \put( 9.133333 , 4.007357 ){\circle*{.04}} \put( 9.2 , 3.971568 ){\circle*{.04}} \put( 9.266667 , 3.938110 ){\circle*{.04}} \put( 9.333333 , 3.907297 ){\circle*{.04}} \put( 9.4 , 3.879334 ){\circle*{.04}} \put( 9.466667 , 3.854336 ){\circle*{.04}} \put( 9.53333 , 3.832354 ){\circle*{.04}} \put( 9.6 , 3.813398 ){\circle*{.04}} \put( 9.66667 , 3.797448 ){\circle*{.04}} \put( 9.73333 , 3.784472 ){\circle*{.04}} \put( 9.8 , 3.774431 ){\circle*{.04}} \put( 9.86667 , 3.767289 ){\circle*{.04}} \put( 9.93333 , 3.763016 ){\circle*{.04}} \put( 10 , 3.761594 ){\circle*{.04}} \put( 10.06667 , 3.763016 ){\circle*{.04}} \put( 10.13333 , 3.767289 ){\circle*{.04}} \put( 10.2 , 3.774431 ){\circle*{.04}} \put( 10.26667 , 3.784472 ){\circle*{.04}} \put( 10.33333 , 3.797448 ){\circle*{.04}} \put( 10.4 , 3.813398 ){\circle*{.04}} \put( 10.46667 , 3.832354 ){\circle*{.04}} \put( 10.53333 , 3.854336 ){\circle*{.04}} \put( 10.6 , 3.879334 ){\circle*{.04}} \put( 10.66667 , 3.907297 ){\circle*{.04}} \put( 10.73333 , 3.938110 ){\circle*{.04}} \put( 10.8 , 3.971568 ){\circle*{.04}} \put( 10.86667 , 4.007357 ){\circle*{.04}} \put( 10.93333 , 4.045017 ){\circle*{.04}} \put( 11 , 4.083923 ){\circle*{.04}} \put( 11.06667 , 4.123263 ){\circle*{.04}} \put( 11.13333 , 4.16203 ){\circle*{.04}} \put( 11.2 , 4.19904 ){\circle*{.04}} \put( 11.26667 , 4.232975 ){\circle*{.04}} \put( 11.33333 , 4.262452 ){\circle*{.04}} \put( 11.4 , 4.286133 ){\circle*{.04}} \put( 11.46667 , 4.302844 ){\circle*{.04}} \put( 11.53333 , 4.311703 ){\circle*{.04}} \put( 11.6 , 4.312225 ){\circle*{.04}} \put( 11.66667 , 4.304381 ){\circle*{.04}} \put( 11.73333 , 4.288603 ){\circle*{.04}} \put( 11.8 , 4.265727 ){\circle*{.04}} \put( 11.86667 , 4.236897 ){\circle*{.04}} \put( 11.93333 , 4.203440 ){\circle*{.04}} \put( 12 , 4.166736 ){\circle*{.04}} \put( 12.06667 , 4.128119 ){\circle*{.04}} \put( 12.13333 , 4.088792 ){\circle*{.04}} \put( 12.2 , 4.049784 ){\circle*{.04}} \put( 12.26667 , 4.011932 ){\circle*{.04}} \put( 12.33333 , 3.975883 ){\circle*{.04}} \put( 12.4 , 3.942116 ){\circle*{.04}} \put( 12.46667 , 3.910963 ){\circle*{.04}} \put( 12.53333 , 3.882639 ){\circle*{.04}} \put( 12.6 , 3.857269 ){\circle*{.04}} \put( 12.66667 , 3.834913 ){\circle*{.04}} \put( 12.73333 , 3.815582 ){\circle*{.04}} \put( 12.8 , 3.799262 ){\circle*{.04}} \put( 12.86667 , 3.785920 ){\circle*{.04}} \put( 12.93333 , 3.775517 ){\circle*{.04}} \put( 13 , 3.768018 ){\circle*{.04}} \put( 13.06667 , 3.76339 ){\circle*{.04}} \put( 13.13333 , 3.761616 ){\circle*{.04}} \put( 13.2 , 3.762686 ){\circle*{.04}} \put( 13.26667 , 3.766604 ){\circle*{.04}} \put( 13.33333 , 3.773390 ){\circle*{.04}} \put( 13.4 , 3.783070 ){\circle*{.04}} \put( 13.46667 , 3.79568 ){\circle*{.04}} \put( 13.53333 , 3.811259 ){\circle*{.04}} \put( 13.6 , 3.829841 ){\circle*{.04}} \put( 13.66667 , 3.851448 ){\circle*{.04}} \put( 13.73333 , 3.876075 ){\circle*{.04}} \put( 13.8 , 3.903675 ){\circle*{.04}} \put( 13.86667 , 3.934144 ){\circle*{.04}} \put( 13.93333 , 3.967289 ){\circle*{.04}} \put( 14 , 4.00281 ){\circle*{.04}} \put( 14.06667 , 4.040269 ){\circle*{.04}} \put( 14.13333 , 4.079061 ){\circle*{.04}} \put( 14.2 , 4.118398 ){\circle*{.04}} \put( 14.26667 , 4.157297 ){\circle*{.04}} \put( 14.33333 , 4.194595 ){\circle*{.04}} \put( 14.4 , 4.228985 ){\circle*{.04}} \put( 14.46667 , 4.259089 ){\circle*{.04}} \put( 14.53333 , 4.283556 ){\circle*{.04}} \put( 14.6 , 4.301185 ){\circle*{.04}} \put( 14.66667 , 4.311052 ){\circle*{.04}} \put( 14.73333 , 4.312618 ){\circle*{.04}} \put( 14.8 , 4.305797 ){\circle*{.04}} \put( 14.86667 , 4.290963 ){\circle*{.04}} \put( 14.93333 , 4.268909 ){\circle*{.04}} \put( 15 , 4.240748 ){\circle*{.04}} \put( 15.06667 , 4.207789 ){\circle*{.04}} \put( 15.13333 , 4.171413 ){\circle*{.04}} \put( 15.2 , 4.132965 ){\circle*{.04}} \put( 15.26667 , 4.093666 ){\circle*{.04}} \put( 15.33333 , 4.054569 ){\circle*{.04}} \put( 15.4 , 4.016535 ){\circle*{.04}} \put( 15.46667 , 3.980234 ){\circle*{.04}} \put( 15.53333 , 3.946163 ){\circle*{.04}} \put( 15.6 , 3.914673 ){\circle*{.04}} \put( 15.66667 , 3.885990 ){\circle*{.04}} \put( 15.73333 , 3.860250 ){\circle*{.04}} \put( 15.8 , 3.837518 ){\circle*{.04}} \put( 15.86667 , 3.817813 ){\circle*{.04}} \put( 15.93333 , 3.801122 ){\circle*{.04}} \put( 16 , 3.787412 ){\circle*{.04}} \put( 16.06667 , 3.776648 ){\circle*{.04}} \put( 16.13333 , 3.76879 ){\circle*{.04}} \put( 16.2 , 3.763809 ){\circle*{.04}} \put( 16.26667 , 3.761681 ){\circle*{.04}} \put( 16.33333 , 3.762399 ){\circle*{.04}} \put( 16.4 , 3.765964 ){\circle*{.04}} \put( 16.46667 , 3.772393 ){\circle*{.04}} \put( 16.53333 , 3.781712 ){\circle*{.04}} \put( 16.6 , 3.793957 ){\circle*{.04}} \put( 16.66667 , 3.809167 ){\circle*{.04}} \put( 16.73333 , 3.827375 ){\circle*{.04}} \put( 16.8 , 3.848607 ){\circle*{.04}} \put( 16.86667 , 3.87286 ){\circle*{.04}} \put( 16.93333 , 3.900097 ){\circle*{.04}} \put( 17 , 3.930219 ){\circle*{.04}} \put( 17.06667 , 3.963046 ){\circle*{.04}} \put( 17.13333 , 3.998294 ){\circle*{.04}} \put( 17.2 , 4.035542 ){\circle*{.04}} \put( 17.26667 , 4.074208 ){\circle*{.04}} \put( 17.33333 , 4.113526 ){\circle*{.04}} \put( 17.4 , 4.152539 ){\circle*{.04}} \put( 17.46667 , 4.190104 ){\circle*{.04}} \put( 17.53333 , 4.224929 ){\circle*{.04}} \put( 17.6 , 4.255639 ){\circle*{.04}} \put( 17.66667 , 4.280873 ){\circle*{.04}} \put( 17.73333 , 4.299407 ){\circle*{.04}} \put( 17.8 , 4.310273 ){\circle*{.04}} \put( 17.86667 , 4.312882 ){\circle*{.04}} \put( 17.93333 , 4.307089 ){\circle*{.04}} \put( 18 , 4.293212 ){\circle*{.04}} \put( 18.06667 , 4.271998 ){\circle*{.04}} \put( 18.13333 , 4.244525 ){\circle*{.04}} \put( 18.2 , 4.212086 ){\circle*{.04}} \put( 18.26667 , 4.176059 ){\circle*{.04}} \put( 18.33333 , 4.137798 ){\circle*{.04}} \put( 18.4 , 4.098544 ){\circle*{.04}} \put( 18.46667 , 4.059371 ){\circle*{.04}} \put( 18.53333 , 4.021165 ){\circle*{.04}} \put( 18.6 , 3.984619 ){\circle*{.04}} \put( 18.66667 , 3.95025 ){\circle*{.04}} \put( 18.73333 , 3.918425 ){\circle*{.04}} \put( 18.8 , 3.889386 ){\circle*{.04}} \put( 18.86667 , 3.863276 ){\circle*{.04}} \put( 18.93333 , 3.84017 ){\circle*{.04}} \put( 19 , 3.82009 ){\circle*{.04}} \put( 19.06667 , 3.803027 ){\circle*{.04}} \put( 19.13333 , 3.78895 ){\circle*{.04}} \put( 19.2 , 3.777823 ){\circle*{.04}} \put( 19.26667 , 3.769607 ){\circle*{.04}} \put( 19.33333 , 3.76427 ){\circle*{.04}} \put( 19.4 , 3.76179 ){\circle*{.04}} \put( 19.46667 , 3.762155 ){\circle*{.04}} \put( 19.53333 , 3.765367 ){\circle*{.04}} \put( 19.6 , 3.77144 ){\circle*{.04}} \put( 19.66667 , 3.780400 ){\circle*{.04}} \put( 19.73333 , 3.79228 ){\circle*{.04}} \put( 19.8 , 3.80712 ){\circle*{.04}} \put( 19.86667 , 3.824956 ){\circle*{.04}} \put( 19.93333 , 3.845812 ){\circle*{.04}} \put( 20 , 3.869693 ){\circle*{.04}} apl>1 tangr .5,300,6,20 %Label the curve \put(2.133333,5.237672 ){n\# .5} %Draw the data points \put( 0 , 3.602308 ){\circle*{.04}} \put( .06666667 , 3.56803 ){\circle*{.04}} \put( .13333333 , 3.539748 ){\circle*{.04}} \put( .2 , 3.516693 ){\circle*{.04}} \put( .26666667 , 3.498255 ){\circle*{.04}} \put( .33333333 , 3.483956 ){\circle*{.04}} \put( .4 , 3.473432 ){\circle*{.04}} \put( .46666667 , 3.466423 ){\circle*{.04}} \put( .533333 , 3.462755 ){\circle*{.04}} \put( .6 , 3.46234 ){\circle*{.04}} \put( .666667 , 3.465168 ){\circle*{.04}} \put( .733333 , 3.471306 ){\circle*{.04}} \put( .8 , 3.480906 ){\circle*{.04}} \put( .866667 , 3.494206 ){\circle*{.04}} \put( .933333 , 3.511542 ){\circle*{.04}} \put( 1 , 3.533359 ){\circle*{.04}} \put( 1.066667 , 3.560233 ){\circle*{.04}} \put( 1.133333 , 3.592889 ){\circle*{.04}} \put( 1.2 , 3.632228 ){\circle*{.04}} \put( 1.266667 , 3.679353 ){\circle*{.04}} \put( 1.333333 , 3.735592 ){\circle*{.04}} \put( 1.4 , 3.802512 ){\circle*{.04}} \put( 1.466667 , 3.881903 ){\circle*{.04}} \put( 1.533333 , 3.975689 ){\circle*{.04}} \put( 1.6 , 4.085734 ){\circle*{.04}} \put( 1.666667 , 4.213425 ){\circle*{.04}} \put( 1.733333 , 4.358935 ){\circle*{.04}} \put( 1.8 , 4.520051 ){\circle*{.04}} \put( 1.866667 , 4.690602 ){\circle*{.04}} \put( 1.933333 , 4.858923 ){\circle*{.04}} \put( 2 , 5.007446 ){\circle*{.04}} \put( 2.066667 , 5.115012 ){\circle*{.04}} \put( 2.133333 , 5.162672 ){\circle*{.04}} \put( 2.2 , 5.141000 ){\circle*{.04}} \put( 2.266667 , 5.054362 ){\circle*{.04}} \put( 2.333333 , 4.918892 ){\circle*{.04}} \put( 2.4 , 4.755752 ){\circle*{.04}} \put( 2.466667 , 4.584342 ){\circle*{.04}} \put( 2.533333 , 4.418639 ){\circle*{.04}} \put( 2.6 , 4.266752 ){\circle*{.04}} \put( 2.666667 , 4.132201 ){\circle*{.04}} \put( 2.733333 , 4.015559 ){\circle*{.04}} \put( 2.8 , 3.915791 ){\circle*{.04}} \put( 2.866667 , 3.831152 ){\circle*{.04}} \put( 2.933333 , 3.759707 ){\circle*{.04}} \put( 3 , 3.6996 ){\circle*{.04}} \put( 3.066667 , 3.649177 ){\circle*{.04}} \put( 3.133333 , 3.607017 ){\circle*{.04}} \put( 3.2 , 3.571934 ){\circle*{.04}} \put( 3.266667 , 3.542954 ){\circle*{.04}} \put( 3.333333 , 3.519288 ){\circle*{.04}} \put( 3.4 , 3.500306 ){\circle*{.04}} \put( 3.466667 , 3.485516 ){\circle*{.04}} \put( 3.533333 , 3.47454 ){\circle*{.04}} \put( 3.6 , 3.467107 ){\circle*{.04}} \put( 3.666667 , 3.463032 ){\circle*{.04}} \put( 3.733333 , 3.462216 ){\circle*{.04}} \put( 3.8 , 3.46464 ){\circle*{.04}} \put( 3.866667 , 3.470362 ){\circle*{.04}} \put( 3.933333 , 3.479522 ){\circle*{.04}} \put( 4 , 3.492347 ){\circle*{.04}} \put( 4.066667 , 3.509161 ){\circle*{.04}} \put( 4.133333 , 3.530394 ){\circle*{.04}} \put( 4.2 , 3.556606 ){\circle*{.04}} \put( 4.266667 , 3.5885 ){\circle*{.04}} \put( 4.333333 , 3.626956 ){\circle*{.04}} \put( 4.4 , 3.673049 ){\circle*{.04}} \put( 4.466667 , 3.728079 ){\circle*{.04}} \put( 4.533333 , 3.793583 ){\circle*{.04}} \put( 4.6 , 3.871326 ){\circle*{.04}} \put( 4.666667 , 3.963223 ){\circle*{.04}} \put( 4.733333 , 4.071164 ){\circle*{.04}} \put( 4.8 , 4.196625 ){\circle*{.04}} \put( 4.866667 , 4.339985 ){\circle*{.04}} \put( 4.933333 , 4.499406 ){\circle*{.04}} \put( 5 , 4.669298 ){\circle*{.04}} \put( 5.066667 , 4.838737 ){\circle*{.04}} \put( 5.133333 , 4.990829 ){\circle*{.04}} \put( 5.2 , 5.104614 ){\circle*{.04}} \put( 5.266667 , 5.160464 ){\circle*{.04}} \put( 5.333333 , 5.147432 ){\circle*{.04}} \put( 5.4 , 5.068153 ){\circle*{.04}} \put( 5.466667 , 4.937613 ){\circle*{.04}} \put( 5.533333 , 4.776762 ){\circle*{.04}} \put( 5.6 , 4.605493 ){\circle*{.04}} \put( 5.666667 , 4.438532 ){\circle*{.04}} \put( 5.733333 , 4.284665 ){\circle*{.04}} \put( 5.8 , 4.14789 ){\circle*{.04}} \put( 5.866667 , 4.029064 ){\circle*{.04}} \put( 5.933333 , 3.927292 ){\circle*{.04}} \put( 6 , 3.840883 ){\circle*{.04}} \put( 6.066667 , 3.767907 ){\circle*{.04}} \put( 6.133333 , 3.70649 ){\circle*{.04}} \put( 6.2 , 3.654949 ){\circle*{.04}} \put( 6.266667 , 3.611834 ){\circle*{.04}} \put( 6.333333 , 3.575931 ){\circle*{.04}} \put( 6.4 , 3.546241 ){\circle*{.04}} \put( 6.466667 , 3.521954 ){\circle*{.04}} \put( 6.533333 , 3.502421 ){\circle*{.04}} \put( 6.6 , 3.487134 ){\circle*{.04}} \put( 6.666667 , 3.475704 ){\circle*{.04}} \put( 6.733333 , 3.467843 ){\circle*{.04}} \put( 6.8 , 3.463359 ){\circle*{.04}} \put( 6.866667 , 3.462142 ){\circle*{.04}} \put( 6.933333 , 3.464163 ){\circle*{.04}} \put( 7 , 3.46947 ){\circle*{.04}} \put( 7.066667 , 3.478194 ){\circle*{.04}} \put( 7.133333 , 3.490550 ){\circle*{.04}} \put( 7.2 , 3.506848 ){\circle*{.04}} \put( 7.266667 , 3.527506 ){\circle*{.04}} \put( 7.333333 , 3.553066 ){\circle*{.04}} \put( 7.4 , 3.584213 ){\circle*{.04}} \put( 7.466667 , 3.621802 ){\circle*{.04}} \put( 7.533333 , 3.666882 ){\circle*{.04}} \put( 7.6 , 3.720726 ){\circle*{.04}} \put( 7.666667 , 3.784841 ){\circle*{.04}} \put( 7.733333 , 3.860966 ){\circle*{.04}} \put( 7.8 , 3.951004 ){\circle*{.04}} \put( 7.866667 , 4.056863 ){\circle*{.04}} \put( 7.933333 , 4.180102 ){\circle*{.04}} \put( 8 , 4.321287 ){\circle*{.04}} \put( 8.066667 , 4.478928 ){\circle*{.04}} \put( 8.133333 , 4.647995 ){\circle*{.04}} \put( 8.2 , 4.81829 ){\circle*{.04}} \put( 8.266667 , 4.973624 ){\circle*{.04}} \put( 8.333333 , 5.093315 ){\circle*{.04}} \put( 8.4 , 5.15718 ){\circle*{.04}} \put( 8.466667 , 5.152832 ){\circle*{.04}} \put( 8.533333 , 5.08115 ){\circle*{.04}} \put( 8.6 , 4.95587 ){\circle*{.04}} \put( 8.666667 , 4.797620 ){\circle*{.04}} \put( 8.733333 , 4.626719 ){\circle*{.04}} \put( 8.8 , 4.458633 ){\circle*{.04}} \put( 8.866667 , 4.302845 ){\circle*{.04}} \put( 8.933333 , 4.163857 ){\circle*{.04}} \put( 9 , 4.04283 ){\circle*{.04}} \put( 9.066667 , 3.939028 ){\circle*{.04}} \put( 9.133333 , 3.850819 ){\circle*{.04}} \put( 9.2 , 3.776284 ){\circle*{.04}} \put( 9.266667 , 3.71353 ){\circle*{.04}} \put( 9.333333 , 3.660850 ){\circle*{.04}} \put( 9.4 , 3.616762 ){\circle*{.04}} \put( 9.466667 , 3.580024 ){\circle*{.04}} \put( 9.53333 , 3.549612 ){\circle*{.04}} \put( 9.6 , 3.524693 ){\circle*{.04}} \put( 9.66667 , 3.504602 ){\circle*{.04}} \put( 9.73333 , 3.488812 ){\circle*{.04}} \put( 9.8 , 3.476921 ){\circle*{.04}} \put( 9.86667 , 3.46863 ){\circle*{.04}} \put( 9.93333 , 3.463736 ){\circle*{.04}} \put( 10 , 3.462117 ){\circle*{.04}} \put( 10.06667 , 3.463736 ){\circle*{.04}} \put( 10.13333 , 3.46863 ){\circle*{.04}} \put( 10.2 , 3.476921 ){\circle*{.04}} \put( 10.26667 , 3.488812 ){\circle*{.04}} \put( 10.33333 , 3.504602 ){\circle*{.04}} \put( 10.4 , 3.524693 ){\circle*{.04}} \put( 10.46667 , 3.549612 ){\circle*{.04}} \put( 10.53333 , 3.580024 ){\circle*{.04}} \put( 10.6 , 3.616762 ){\circle*{.04}} \put( 10.66667 , 3.660850 ){\circle*{.04}} \put( 10.73333 , 3.71353 ){\circle*{.04}} \put( 10.8 , 3.776284 ){\circle*{.04}} \put( 10.86667 , 3.850819 ){\circle*{.04}} \put( 10.93333 , 3.939028 ){\circle*{.04}} \put( 11 , 4.04283 ){\circle*{.04}} \put( 11.06667 , 4.163857 ){\circle*{.04}} \put( 11.13333 , 4.302845 ){\circle*{.04}} \put( 11.2 , 4.458633 ){\circle*{.04}} \put( 11.26667 , 4.626719 ){\circle*{.04}} \put( 11.33333 , 4.797620 ){\circle*{.04}} \put( 11.4 , 4.95587 ){\circle*{.04}} \put( 11.46667 , 5.08115 ){\circle*{.04}} \put( 11.53333 , 5.152832 ){\circle*{.04}} \put( 11.6 , 5.15718 ){\circle*{.04}} \put( 11.66667 , 5.093315 ){\circle*{.04}} \put( 11.73333 , 4.973624 ){\circle*{.04}} \put( 11.8 , 4.81829 ){\circle*{.04}} \put( 11.86667 , 4.647995 ){\circle*{.04}} \put( 11.93333 , 4.478928 ){\circle*{.04}} \put( 12 , 4.321287 ){\circle*{.04}} \put( 12.06667 , 4.180102 ){\circle*{.04}} \put( 12.13333 , 4.056863 ){\circle*{.04}} \put( 12.2 , 3.951004 ){\circle*{.04}} \put( 12.26667 , 3.860966 ){\circle*{.04}} \put( 12.33333 , 3.784841 ){\circle*{.04}} \put( 12.4 , 3.720726 ){\circle*{.04}} \put( 12.46667 , 3.666882 ){\circle*{.04}} \put( 12.53333 , 3.621802 ){\circle*{.04}} \put( 12.6 , 3.584213 ){\circle*{.04}} \put( 12.66667 , 3.553066 ){\circle*{.04}} \put( 12.73333 , 3.527506 ){\circle*{.04}} \put( 12.8 , 3.506848 ){\circle*{.04}} \put( 12.86667 , 3.490550 ){\circle*{.04}} \put( 12.93333 , 3.478194 ){\circle*{.04}} \put( 13 , 3.46947 ){\circle*{.04}} \put( 13.06667 , 3.464163 ){\circle*{.04}} \put( 13.13333 , 3.462142 ){\circle*{.04}} \put( 13.2 , 3.463359 ){\circle*{.04}} \put( 13.26667 , 3.467843 ){\circle*{.04}} \put( 13.33333 , 3.475704 ){\circle*{.04}} \put( 13.4 , 3.487134 ){\circle*{.04}} \put( 13.46667 , 3.502421 ){\circle*{.04}} \put( 13.53333 , 3.521954 ){\circle*{.04}} \put( 13.6 , 3.546241 ){\circle*{.04}} \put( 13.66667 , 3.575931 ){\circle*{.04}} \put( 13.73333 , 3.611834 ){\circle*{.04}} \put( 13.8 , 3.654949 ){\circle*{.04}} \put( 13.86667 , 3.70649 ){\circle*{.04}} \put( 13.93333 , 3.767907 ){\circle*{.04}} \put( 14 , 3.840883 ){\circle*{.04}} \put( 14.06667 , 3.927292 ){\circle*{.04}} \put( 14.13333 , 4.029064 ){\circle*{.04}} \put( 14.2 , 4.14789 ){\circle*{.04}} \put( 14.26667 , 4.284665 ){\circle*{.04}} \put( 14.33333 , 4.438532 ){\circle*{.04}} \put( 14.4 , 4.605493 ){\circle*{.04}} \put( 14.46667 , 4.776762 ){\circle*{.04}} \put( 14.53333 , 4.937613 ){\circle*{.04}} \put( 14.6 , 5.068153 ){\circle*{.04}} \put( 14.66667 , 5.147432 ){\circle*{.04}} \put( 14.73333 , 5.160464 ){\circle*{.04}} \put( 14.8 , 5.104614 ){\circle*{.04}} \put( 14.86667 , 4.990829 ){\circle*{.04}} \put( 14.93333 , 4.838737 ){\circle*{.04}} \put( 15 , 4.669298 ){\circle*{.04}} \put( 15.06667 , 4.499406 ){\circle*{.04}} \put( 15.13333 , 4.339985 ){\circle*{.04}} \put( 15.2 , 4.196625 ){\circle*{.04}} \put( 15.26667 , 4.071164 ){\circle*{.04}} \put( 15.33333 , 3.963223 ){\circle*{.04}} \put( 15.4 , 3.871326 ){\circle*{.04}} \put( 15.46667 , 3.793583 ){\circle*{.04}} \put( 15.53333 , 3.728079 ){\circle*{.04}} \put( 15.6 , 3.673049 ){\circle*{.04}} \put( 15.66667 , 3.626956 ){\circle*{.04}} \put( 15.73333 , 3.5885 ){\circle*{.04}} \put( 15.8 , 3.556606 ){\circle*{.04}} \put( 15.86667 , 3.530394 ){\circle*{.04}} \put( 15.93333 , 3.509161 ){\circle*{.04}} \put( 16 , 3.492347 ){\circle*{.04}} \put( 16.06667 , 3.479522 ){\circle*{.04}} \put( 16.13333 , 3.470362 ){\circle*{.04}} \put( 16.2 , 3.46464 ){\circle*{.04}} \put( 16.26667 , 3.462216 ){\circle*{.04}} \put( 16.33333 , 3.463032 ){\circle*{.04}} \put( 16.4 , 3.467107 ){\circle*{.04}} \put( 16.46667 , 3.47454 ){\circle*{.04}} \put( 16.53333 , 3.485516 ){\circle*{.04}} \put( 16.6 , 3.500306 ){\circle*{.04}} \put( 16.66667 , 3.519288 ){\circle*{.04}} \put( 16.73333 , 3.542954 ){\circle*{.04}} \put( 16.8 , 3.571934 ){\circle*{.04}} \put( 16.86667 , 3.607017 ){\circle*{.04}} \put( 16.93333 , 3.649177 ){\circle*{.04}} \put( 17 , 3.6996 ){\circle*{.04}} \put( 17.06667 , 3.759707 ){\circle*{.04}} \put( 17.13333 , 3.831152 ){\circle*{.04}} \put( 17.2 , 3.915791 ){\circle*{.04}} \put( 17.26667 , 4.015559 ){\circle*{.04}} \put( 17.33333 , 4.132201 ){\circle*{.04}} \put( 17.4 , 4.266752 ){\circle*{.04}} \put( 17.46667 , 4.418639 ){\circle*{.04}} \put( 17.53333 , 4.584342 ){\circle*{.04}} \put( 17.6 , 4.755752 ){\circle*{.04}} \put( 17.66667 , 4.918892 ){\circle*{.04}} \put( 17.73333 , 5.054362 ){\circle*{.04}} \put( 17.8 , 5.141000 ){\circle*{.04}} \put( 17.86667 , 5.162672 ){\circle*{.04}} \put( 17.93333 , 5.115012 ){\circle*{.04}} \put( 18 , 5.007446 ){\circle*{.04}} \put( 18.06667 , 4.858923 ){\circle*{.04}} \put( 18.13333 , 4.690602 ){\circle*{.04}} \put( 18.2 , 4.520051 ){\circle*{.04}} \put( 18.26667 , 4.358935 ){\circle*{.04}} \put( 18.33333 , 4.213425 ){\circle*{.04}} \put( 18.4 , 4.085734 ){\circle*{.04}} \put( 18.46667 , 3.975689 ){\circle*{.04}} \put( 18.53333 , 3.881903 ){\circle*{.04}} \put( 18.6 , 3.802512 ){\circle*{.04}} \put( 18.66667 , 3.735592 ){\circle*{.04}} \put( 18.73333 , 3.679353 ){\circle*{.04}} \put( 18.8 , 3.632228 ){\circle*{.04}} \put( 18.86667 , 3.592889 ){\circle*{.04}} \put( 18.93333 , 3.560233 ){\circle*{.04}} \put( 19 , 3.533359 ){\circle*{.04}} \put( 19.06667 , 3.511542 ){\circle*{.04}} \put( 19.13333 , 3.494206 ){\circle*{.04}} \put( 19.2 , 3.480906 ){\circle*{.04}} \put( 19.26667 , 3.471306 ){\circle*{.04}} \put( 19.33333 , 3.465168 ){\circle*{.04}} \put( 19.4 , 3.46234 ){\circle*{.04}} \put( 19.46667 , 3.462755 ){\circle*{.04}} \put( 19.53333 , 3.466423 ){\circle*{.04}} \put( 19.6 , 3.473432 ){\circle*{.04}} \put( 19.66667 , 3.483956 ){\circle*{.04}} \put( 19.73333 , 3.498255 ){\circle*{.04}} \put( 19.8 , 3.516693 ){\circle*{.04}} \put( 19.86667 , 3.539748 ){\circle*{.04}} \put( 19.93333 , 3.56803 ){\circle*{.04}} \put( 20 , 3.602308 ){\circle*{.04}} apl>1 tangr -1,300,6,20 %Label the curve \put(2.133333,1.187118 ){n\#-1} %Draw the data points \put( 0 , 2.130307 ){\circle*{.04}} \put( .06666667 , 2.154188 ){\circle*{.04}} \put( .13333333 , 2.175044 ){\circle*{.04}} \put( .2 , 2.192880 ){\circle*{.04}} \put( .26666667 , 2.207720 ){\circle*{.04}} \put( .33333333 , 2.2196 ){\circle*{.04}} \put( .4 , 2.22856 ){\circle*{.04}} \put( .46666667 , 2.234633 ){\circle*{.04}} \put( .533333 , 2.237845 ){\circle*{.04}} \put( .6 , 2.238209 ){\circle*{.04}} \put( .666667 , 2.235729 ){\circle*{.04}} \put( .733333 , 2.230393 ){\circle*{.04}} \put( .8 , 2.222177 ){\circle*{.04}} \put( .866667 , 2.211050 ){\circle*{.04}} \put( .933333 , 2.196973 ){\circle*{.04}} \put( 1 , 2.179909 ){\circle*{.04}} \put( 1.066667 , 2.159830 ){\circle*{.04}} \put( 1.133333 , 2.136724 ){\circle*{.04}} \put( 1.2 , 2.110614 ){\circle*{.04}} \put( 1.266667 , 2.081575 ){\circle*{.04}} \put( 1.333333 , 2.049750 ){\circle*{.04}} \put( 1.4 , 2.015381 ){\circle*{.04}} \put( 1.466667 , 1.978835 ){\circle*{.04}} \put( 1.533333 , 1.940629 ){\circle*{.04}} \put( 1.6 , 1.901456 ){\circle*{.04}} \put( 1.666667 , 1.862202 ){\circle*{.04}} \put( 1.733333 , 1.823941 ){\circle*{.04}} \put( 1.8 , 1.787914 ){\circle*{.04}} \put( 1.866667 , 1.755475 ){\circle*{.04}} \put( 1.933333 , 1.728002 ){\circle*{.04}} 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