(*^ ::[ Information = "This is a Mathematica Notebook file. It contains ASCII text, and can be transferred by email, ftp, or other text-file transfer utility. It should be read or edited using a copy of Mathematica or MathReader. If you received this as email, use your mail application or copy/paste to save everything from the line containing (*^ down to the line containing ^*) into a plain text file. On some systems you may have to give the file a name ending with ".ma" to allow Mathematica to recognize it as a Notebook. The line below identifies what version of Mathematica created this file, but it can be opened using any other version as well."; FrontEndVersion = "Macintosh Mathematica Notebook Front End Version 2.2"; MacintoshStandardFontEncoding; fontset = title, inactive, noPageBreakBelow, nohscroll, preserveAspect, groupLikeTitle, center, M7, bold, e8, 24, "Times"; fontset = subtitle, inactive, noPageBreakBelow, nohscroll, preserveAspect, groupLikeTitle, center, M7, bold, e6, 18, "Times"; fontset = subsubtitle, inactive, noPageBreakBelow, nohscroll, preserveAspect, groupLikeTitle, center, M7, italic, e6, 14, "Times"; fontset = section, inactive, noPageBreakBelow, nohscroll, preserveAspect, groupLikeSection, grayBox, M22, bold, a20, 18, "Times"; fontset = subsection, inactive, noPageBreakBelow, nohscroll, preserveAspect, groupLikeSection, blackBox, M19, bold, a15, 14, "Times"; fontset = subsubsection, inactive, noPageBreakBelow, nohscroll, preserveAspect, groupLikeSection, whiteBox, M18, bold, a12, 12, "Times"; fontset = text, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M7, 14, "Times"; fontset = smalltext, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M7, 10, "Times"; fontset = input, noPageBreakInGroup, nowordwrap, preserveAspect, groupLikeInput, M42, N23, bold, L-5, 12, "Courier"; fontset = output, output, inactive, noPageBreakInGroup, nowordwrap, preserveAspect, groupLikeOutput, M42, N23, L-5, 12, "Courier"; fontset = message, inactive, noPageBreakInGroup, nowordwrap, preserveAspect, groupLikeOutput, M42, N23, R65535, L-5, 12, "Courier"; fontset = print, inactive, noPageBreakInGroup, nowordwrap, preserveAspect, groupLikeOutput, M42, N23, L-5, 12, "Courier"; fontset = info, inactive, noPageBreakInGroup, nowordwrap, preserveAspect, groupLikeOutput, M42, N23, B65535, L-5, 12, "Courier"; fontset = postscript, PostScript, formatAsPostScript, output, inactive, noPageBreakInGroup, nowordwrap, preserveAspect, groupLikeGraphics, M7, l34, w282, h287, 12, "Courier"; fontset = name, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M7, italic, 10, "Geneva"; fontset = header, inactive, noKeepOnOnePage, preserveAspect, M7, 12, "Times"; fontset = leftheader, inactive, L2, 12, "Times"; fontset = footer, inactive, noKeepOnOnePage, preserveAspect, center, M7, 12, "Times"; fontset = leftfooter, inactive, L2, 12, "Times"; fontset = help, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M7, 10, "Times"; fontset = clipboard, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M7, 12, "Times"; fontset = completions, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M7, 12, "Times"; fontset = special1, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M7, 12, "Times"; fontset = special2, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M7, 12, "Times"; fontset = special3, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M7, 12, "Times"; fontset = special4, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M7, 12, "Times"; fontset = special5, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M7, 12, "Times"; paletteColors = 128; automaticGrouping; currentKernel; ] :[font = title; inactive; preserveAspect; startGroup] Chapter 2(1) :[font = section; inactive; Cclosed; preserveAspect; startGroup] Problem 3 :[font = text; inactive; preserveAspect] The given Mathematica commands applied to an arbitrary to an arbitrary function of the functions f=x+z and g=y+z yields the following result. Note that the commands given in the text contain a superfluous equation, Eqn3. This should be eliminated for the examples in this problem. :[font = input; preserveAspect; startGroup] Clear[x,y,z,f,g,F,p,q,F1,F2] f[x,y,z] = x + z[x,y]; g[x,y,z] = y + z[x,y]; Equation = F[f[x,y,z],g[x,y,z]] == 0; Equations = {D[Equation,x],D[Equation,y]}/. {z[x,y]->u, Derivative[1,0][z][x,y]->p, Derivative[0,1][z][x,y]->q, Derivative[1,0][F][f[x,y,z],g[x,y,z]]->F1, Derivative[0,1][F][f[x,y,z],g[x,y,z]]->F2}; Eliminate[Equations,{F1,F2}][[1]] :[font = output; output; inactive; preserveAspect; endGroup] 1 + p + q != 0 ;[o] 1 + p + q != 0 :[font = text; inactive; preserveAspect] The solution appears in the form of a condition which must be satisfied for a solution of the simultaneous equations for F1 and F2 to exist, in this case p+q+1 must be nonzero. Thus, for F1 and F2 to be arbitrary, we have p+q+1=0, which is the differential equation for which the given expression is the general solution. :[font = subsection; inactive; preserveAspect; startGroup] Problem 3(a) :[font = input; preserveAspect; startGroup] Clear[x,y,z,f,g,F,p,q,F1,F2] f[x,y,z] = x + z[x,y]; g[x,y,z] = y z[x,y]; Equation = F[f[x,y,z],g[x,y,z]] == 0; Equations = {D[Equation,x],D[Equation,y]}/. {z[x,y]->u, Derivative[1,0][z][x,y]->p, Derivative[0,1][z][x,y]->q, Derivative[1,0][F][f[x,y,z],g[x,y,z]]->F1, Derivative[0,1][F][f[x,y,z],g[x,y,z]]->F2}; Eliminate[Equations,{F1,F2}][[1]] :[font = output; output; inactive; preserveAspect; endGroup] u + p*u + q*y != 0 && u != 0 ;[o] u + p u + q y != 0 && u != 0 :[font = text; inactive; preserveAspect; endGroup] The differential equation is pu+qy+u=0. :[font = subsection; inactive; preserveAspect; startGroup] Problem 3(b) :[font = input; preserveAspect; startGroup] Clear[x,y,z,f,g,F,p,q,F1,F2] f[x,y,z] = x z[x,y]; g[x,y,z] = y z[x,y]; Equation = F[f[x,y,z],g[x,y,z]] == 0; Equations = {D[Equation,x],D[Equation,y]}/. {z[x,y]->u, Derivative[1,0][z][x,y]->p, Derivative[0,1][z][x,y]->q, Derivative[1,0][F][f[x,y,z],g[x,y,z]]->F1, Derivative[0,1][F][f[x,y,z],g[x,y,z]]->F2}; Eliminate[Equations,{F1,F2}][[1]] :[font = output; output; inactive; preserveAspect; endGroup] u*(u + p*x + q*y) != 0 ;[o] u (u + p x + q y) != 0 :[font = text; inactive; preserveAspect; endGroup] The differential equation is px+qy+u=0. :[font = subsection; inactive; preserveAspect; startGroup] Problem 3(d) :[font = input; preserveAspect; startGroup] Clear[x,y,z,f,g,F,p,q,F1,F2] f[x,y,z] = x^2+y^2; g[x,y,z] = x z[x,y]; Equation = F[f[x,y,z],g[x,y,z]] == 0; Equations = {D[Equation,x],D[Equation,y]}/. {z[x,y]->u, Derivative[1,0][z][x,y]->p, Derivative[0,1][z][x,y]->q, Derivative[1,0][F][f[x,y,z],g[x,y,z]]->F1, Derivative[0,1][F][f[x,y,z],g[x,y,z]]->F2}; Eliminate[Equations,{F1,F2}][[1]] :[font = output; output; inactive; preserveAspect; endGroup] -(q*x^2) + u*y + p*x*y != 0 && y != 0 ;[o] 2 -(q x ) + u y + p x y != 0 && y != 0 :[font = text; inactive; preserveAspect; endGroup] The differential equation is xyp-qx^2+uy=0. :[font = subsection; inactive; preserveAspect; startGroup] Problem 3(e) :[font = input; preserveAspect; startGroup] Clear[x,y,z,f,g,F,p,q,F1,F2] f[x,y,z] = x y; g[x,y,z] = x/z[x,y]; Equation = F[f[x,y,z],g[x,y,z]] == 0; Equations = {D[Equation,x],D[Equation,y]}/. {z[x,y]->u, Derivative[1,0][z][x,y]->p, Derivative[0,1][z][x,y]->q, Derivative[1,0][F][f[x,y,z],g[x,y,z]]->F1, Derivative[0,1][F][f[x,y,z],g[x,y,z]]->F2}; Eliminate[Equations,{F1,F2}][[1]] :[font = output; output; inactive; preserveAspect; endGroup] u - p*x + q*y != 0 && x != 0 && u != 0 && y != 0 ;[o] u - p x + q y != 0 && x != 0 && u != 0 && y != 0 :[font = text; inactive; preserveAspect; endGroup] The differential equation is px-qy-u=0. :[font = subsection; inactive; preserveAspect; startGroup] Problem 3(f) :[font = input; preserveAspect; startGroup] Clear[x,y,z,f,g,F,p,q,F1,F2] f[x,y,z] = x Exp[y]; g[x,y,z] = x/z[x,y]; Equation = F[f[x,y,z],g[x,y,z]] == 0; Equation = {D[Equation,x],D[Equation,y]}/. {z[x,y]->u, Derivative[1,0][z][x,y]->p, Derivative[0,1][z][x,y]->q, Derivative[1,0][F][f[x,y,z],g[x,y,z]]->F1, Derivative[0,1][F][f[x,y,z],g[x,y,z]]->F2}; Eliminate[Equation,{F1,F2}][[1]] :[font = output; output; inactive; preserveAspect; endGroup] u != 0 && q + u - p*x != 0 && x != 0 && E != 0 ;[o] u != 0 && q + u - p x != 0 && x != 0 && E != 0 :[font = text; inactive; preserveAspect; endGroup] The differential equation is px-q-u=0. :[font = subsection; inactive; preserveAspect; startGroup] Problem 3(g) :[font = input; preserveAspect; startGroup] Clear[x,y,z,f,g,F,p,q,F1,F2] f[x,y,z] = x y; g[x,y,z] = x^2+y^2+(z[x,y])^2; Equation = F[f[x,y,z],g[x,y,z]] == 0; Equations = {D[Equation,x],D[Equation,y]}/. {z[x,y]->u, Derivative[1,0][z][x,y]->p, Derivative[0,1][z][x,y]->q, Derivative[1,0][F][f[x,y,z],g[x,y,z]]->F1, Derivative[0,1][F][f[x,y,z],g[x,y,z]]->F2}; Eliminate[Equations,{F1,F2}][[1]] :[font = output; output; inactive; preserveAspect; endGroup] p*u*x + x^2 - q*u*y - y^2 != 0 && u != 0 && x != 0 ;[o] 2 2 p u x + x - q u y - y != 0 && u != 0 && x != 0 :[font = text; inactive; preserveAspect; endGroup] The differential equation is xup-uyq+x^2-y^2=0. :[font = subsection; inactive; preserveAspect; startGroup] Problem 3(h) :[font = input; preserveAspect; startGroup] Clear[x,y,z,f,g,F,p,q,F1,F2] f[x,y,z] = 1/x+1/y; g[x,y,z] = 1/y+1/z[x,y]; Equation = F[f[x,y,z],g[x,y,z]] == 0; Equations = {D[Equation,x],D[Equation,y]}/. {z[x,y]->u, Derivative[1,0][z][x,y]->p, Derivative[0,1][z][x,y]->q, Derivative[1,0][F][f[x,y,z],g[x,y,z]]->F1, Derivative[0,1][F][f[x,y,z],g[x,y,z]]->F2}; Eliminate[Equations,{F1,F2}][[1]] :[font = output; output; inactive; preserveAspect; endGroup] -u^2 + p*x^2 - q*y^2 != 0 && u^2*x^2 != 0 && u^2*y^2 != 0 ;[o] 2 2 2 2 2 2 2 -u + p x - q y != 0 && u x != 0 && u y != 0 :[font = text; inactive; preserveAspect; endGroup; endGroup] The differential equation is x^2p-y^2q-u^2=0. :[font = section; inactive; Cclosed; preserveAspect; startGroup] Problem 5 :[font = text; inactive; preserveAspect] The expressions in this problem are given in terms of a single arbitrary function of three known functions in four variables. Thus, the appropriate generalization of the command in Problem 3 to obtain the differential equations for which these expressions are the general solution includes an additional equation (the derivative of Equation with respect to z). :[font = subsection; inactive; preserveAspect; startGroup] Problem 5(a) :[font = input; preserveAspect; startGroup] Clear[x,y,z,w,f,g,h,F,p,q,r,F1,F2,F3] f[x,y,z,w] = x y; g[x,y,z,w] = y z; h[x,y,z,w] = x + w[x,y,z]; Equation = F[f[x,y,z,w],g[x,y,z,w],h[x,y,z,w]] == 0; {Equation1,Equation2,Equation3} = {D[Equation,x],D[Equation,y],D[Equation,z]}/. {w[x,y,z]->u, Derivative[1,0,0][w][x,y,z]->p, Derivative[0,1,0][w][x,y,z]->q, Derivative[0,0,1][w][x,y,z]->r, Derivative[1,0,0][F][f[x,y,z,w],g[x,y,z,w], h[x,y,z,w]]->F1, Derivative[0,1,0][F][f[x,y,z,w],g[x,y,z,w], h[x,y,z,w]]->F2, Derivative[0,0,1][F][f[x,y,z,w],g[x,y,z,w], h[x,y,z,w]]->F3} Eliminate[{Equation1,Equation2,Equation3},{F1,F2,F3}][[1]] :[font = output; output; inactive; preserveAspect] {F3*(1 + p) + F1*y == 0, F3*q + F1*x + F2*z == 0, F3*r + F2*y == 0} ;[o] {F3 (1 + p) + F1 y == 0, F3 q + F1 x + F2 z == 0, F3 r + F2 y == 0} :[font = output; output; inactive; preserveAspect; endGroup] x + p*x - q*y + r*z != 0 && y != 0 && x != 0 ;[o] x + p x - q y + r z != 0 && y != 0 && x != 0 :[font = text; inactive; preserveAspect; endGroup] The differential equation is xp-yq+rz+x=0. :[font = subsection; inactive; preserveAspect; startGroup] Problem 5(b) :[font = input; preserveAspect; startGroup] Clear[x,y,z,w,f,g,h,F,p,q,r,F1,F2,F3] f[x,y,z,w] = x + y; g[x,y,z,w] = y + z; h[x,y,z,w] = z + w[x,y,z]; Equation = F[f[x,y,z,w],g[x,y,z,w],h[x,y,z,w]] == 0; {Equation1,Equation2,Equation3} = {D[Equation,x],D[Equation,y],D[Equation,z]}/. {w[x,y,z]->u, Derivative[1,0,0][w][x,y,z]->p, Derivative[0,1,0][w][x,y,z]->q, Derivative[0,0,1][w][x,y,z]->r, Derivative[1,0,0][F][f[x,y,z,w],g[x,y,z,w], h[x,y,z,w]]->F1, Derivative[0,1,0][F][f[x,y,z,w],g[x,y,z,w], h[x,y,z,w]]->F2, Derivative[0,0,1][F][f[x,y,z,w],g[x,y,z,w], h[x,y,z,w]]->F3} Eliminate[{Equation1,Equation2,Equation3},{F1,F2,F3}][[1]] :[font = output; output; inactive; preserveAspect] {F1 + F3*p == 0, F1 + F2 + F3*q == 0, F2 + F3*(1 + r) == 0} ;[o] {F1 + F3 p == 0, F1 + F2 + F3 q == 0, F2 + F3 (1 + r) == 0} :[font = output; output; inactive; preserveAspect; endGroup] 1 + p - q + r != 0 ;[o] 1 + p - q + r != 0 :[font = text; inactive; preserveAspect; endGroup] The differential equation is p-q+r+1=0. :[font = subsection; inactive; preserveAspect; startGroup] Problem 5(c) :[font = input; preserveAspect; startGroup] Clear[x,y,z,w,f,g,h,F,p,q,r,F1,F2,F3] f[x,y,z,w] = x y; g[x,y,z,w] = y/z; h[x,y,z,w] = x w[x,y,z]; Equation = F[f[x,y,z,w],g[x,y,z,w],h[x,y,z,w]] == 0; {Equation1,Equation2,Equation3} = {D[Equation,x],D[Equation,y],D[Equation,z]}/. {w[x,y,z]->u, Derivative[1,0,0][w][x,y,z]->p, Derivative[0,1,0][w][x,y,z]->q, Derivative[0,0,1][w][x,y,z]->r, Derivative[1,0,0][F][f[x,y,z,w],g[x,y,z,w], h[x,y,z,w]]->F1, Derivative[0,1,0][F][f[x,y,z,w],g[x,y,z,w], h[x,y,z,w]]->F2, Derivative[0,0,1][F][f[x,y,z,w],g[x,y,z,w], h[x,y,z,w]]->F3} Eliminate[{Equation1,Equation2,Equation3},{F1,F2,F3}][[1]] :[font = output; output; inactive; preserveAspect] {F3*(u + p*x) + F1*y == 0, F1*x + F3*q*x + F2/z == 0, F3*r*x - (F2*y)/z^2 == 0} ;[o] F2 {F3 (u + p x) + F1 y == 0, F1 x + F3 q x + -- == 0, z F2 y F3 r x - ---- == 0} 2 z :[font = output; output; inactive; preserveAspect; endGroup] u + p*x - q*y - r*z != 0 && x != 0 && y != 0 && z != 0 ;[o] u + p x - q y - r z != 0 && x != 0 && y != 0 && z != 0 :[font = text; inactive; preserveAspect; endGroup] The differential equation is xp-yq-zr+u=0. :[font = subsection; inactive; preserveAspect; startGroup] Problem 5(d) :[font = input; preserveAspect; startGroup] Clear[x,y,z,w,f,g,h,F,p,q,r,F1,F2,F3] f[x,y,z,w] = x^2+y^2; g[x,y,z,w] = y^2+z^2; h[x,y,z,w] = x + w[x,y,z]; Equation = F[f[x,y,z,w],g[x,y,z,w],h[x,y,z,w]] == 0; {Equation1,Equation2,Equation3} = {D[Equation,x],D[Equation,y],D[Equation,z]}/. {w[x,y,z]->u, Derivative[1,0,0][w][x,y,z]->p, Derivative[0,1,0][w][x,y,z]->q, Derivative[0,0,1][w][x,y,z]->r, Derivative[1,0,0][F][f[x,y,z,w],g[x,y,z,w], h[x,y,z,w]]->F1, Derivative[0,1,0][F][f[x,y,z,w],g[x,y,z,w], h[x,y,z,w]]->F2, Derivative[0,0,1][F][f[x,y,z,w],g[x,y,z,w], h[x,y,z,w]]->F3} Eliminate[{Equation1,Equation2,Equation3},{F1,F2,F3}][[1]] :[font = output; output; inactive; preserveAspect] {F3*(1 + p) + 2*F1*x == 0, F3*q + 2*F1*y + 2*F2*y == 0, F3*r + 2*F2*z == 0} ;[o] {F3 (1 + p) + 2 F1 x == 0, F3 q + 2 F1 y + 2 F2 y == 0, F3 r + 2 F2 z == 0} :[font = output; output; inactive; preserveAspect; endGroup] r*x*y - q*x*z + y*z + p*y*z != 0 && y != 0 && z != 0 ;[o] r x y - q x z + y z + p y z != 0 && y != 0 && z != 0 :[font = text; inactive; preserveAspect; endGroup] The differential equation is yzp-xzq+xyr+yz=0. :[font = subsection; inactive; preserveAspect; startGroup] Problem 5(e) :[font = input; preserveAspect; startGroup] Clear[x,y,z,w,f,g,h,F,p,q,r,F1,F2,F3] f[x,y,z,w] = x^2+y^2+z^2; g[x,y,z,w] = x y z; h[x,y,z,w] = x z + w[x,y,z]; Equation = F[f[x,y,z,w],g[x,y,z,w],h[x,y,z,w]] == 0; {Equation1,Equation2,Equation3} = {D[Equation,x],D[Equation,y],D[Equation,z]}/. {w[x,y,z]->u, Derivative[1,0,0][w][x,y,z]->p, Derivative[0,1,0][w][x,y,z]->q, Derivative[0,0,1][w][x,y,z]->r, Derivative[1,0,0][F][f[x,y,z,w],g[x,y,z,w], h[x,y,z,w]]->F1, Derivative[0,1,0][F][f[x,y,z,w],g[x,y,z,w], h[x,y,z,w]]->F2, Derivative[0,0,1][F][f[x,y,z,w],g[x,y,z,w], h[x,y,z,w]]->F3} Eliminate[{Equation1,Equation2,Equation3},{F1,F2,F3}][[1]] :[font = output; output; inactive; preserveAspect] {2*F1*x + F2*y*z + F3*(p + z) == 0, F3*q + 2*F1*y + F2*x*z == 0, F3*(r + x) + F2*x*y + 2*F1*z == 0} ;[o] {2 F1 x + F2 y z + F3 (p + z) == 0, F3 q + 2 F1 y + F2 x z == 0, F3 (r + x) + F2 x y + 2 F1 z == 0} :[font = output; output; inactive; preserveAspect; endGroup] -(q*x^2*y) + p*x*y^2 + r*x^2*z + x^3*z - r*y^2*z - p*x*z^2 + q*y*z^2 - x*z^3 != 0 && (x - y)*(x + y) != 0 && z != 0 ;[o] 2 2 2 3 2 -(q x y) + p x y + r x z + x z - r y z - 2 2 3 p x z + q y z - x z != 0 && (x - y) (x + y) != 0 && z != 0 :[font = text; inactive; preserveAspect; endGroup; endGroup] The differential equation is x(y^2+z^2)p+y(z^2-x^2)q+z(x^2-y^2)r+xz(x^2- z^2)-0. :[font = section; inactive; Cclosed; preserveAspect; startGroup] Problem 10 :[font = text; inactive; preserveAspect] We will show here that the expressions obtained by applying the method characteristics to each of the equations in Problem 10 are indeed solutions of the equations. We will use the sequence of commands described in Problem 7. :[font = subsection; inactive; preserveAspect; startGroup] Problem 10(a) :[font = input; preserveAspect; startGroup] Clear[xi,eta,x,y,u,p,q] xi[x,y,u] = x y; eta[x,y,u] = x/u; J[f_,g_,x_,y_]:=D[f,x]D[g,y]-D[f,y]D[g,x]; P=J[xi[x,y,u],eta[x,y,u],y,u]; Q=J[xi[x,y,u],eta[x,y,u],u,x]; R=J[xi[x,y,u],eta[x,y,u],x,y]; Simplify[P p + Q q - R == 0] :[font = output; output; inactive; preserveAspect; endGroup; endGroup] (x*(u - p*x + q*y))/u^2 == 0 ;[o] x (u - p x + q y) ----------------- == 0 2 u :[font = subsection; inactive; preserveAspect; startGroup] Problem 10(b) :[font = input; preserveAspect; startGroup] Clear[xi,eta,x,y,u,p,q] xi[x,y,u] = y u; eta[x,y,u] = x^2+y^2+u^2; J[f_,g_,x_,y_]:=D[f,x]D[g,y]-D[f,y]D[g,x]; P=J[xi[x,y,u],eta[x,y,u],y,u]; Q=J[xi[x,y,u],eta[x,y,u],u,x]; R=J[xi[x,y,u],eta[x,y,u],x,y]; Simplify[P p + Q q - R == 0] :[font = output; output; inactive; preserveAspect; endGroup; endGroup] 2*(p*u^2 + u*x + q*x*y - p*y^2) == 0 ;[o] 2 2 2 (p u + u x + q x y - p y ) == 0 :[font = subsection; inactive; preserveAspect; startGroup] Problem 10(c) :[font = input; preserveAspect; startGroup] Clear[xi,eta,x,y,u,p,q] xi[x,y,u] = x/y; eta[x,y,u] = u/x^2; J[f_,g_,x_,y_]:=D[f,x]D[g,y]-D[f,y]D[g,x]; P=J[xi[x,y,u],eta[x,y,u],y,u]; Q=J[xi[x,y,u],eta[x,y,u],u,x]; R=J[xi[x,y,u],eta[x,y,u],x,y]; Simplify[P p + Q q - R == 0] :[font = output; output; inactive; preserveAspect; endGroup; endGroup] (2*u - p*x - q*y)/(x^2*y^2) == 0 ;[o] 2 u - p x - q y --------------- == 0 2 2 x y :[font = subsection; inactive; preserveAspect; startGroup] Problem 10(d) :[font = input; preserveAspect; startGroup] Clear[xi,eta,x,y,u,p,q] xi[x,y,u] = 1/x+1/y; eta[x,y,u] = x+y+u; J[f_,g_,x_,y_]:=D[f,x]D[g,y]-D[f,y]D[g,x]; P=J[xi[x,y,u],eta[x,y,u],y,u]; Q=J[xi[x,y,u],eta[x,y,u],u,x]; R=J[xi[x,y,u],eta[x,y,u],x,y]; Simplify[P p + Q q - R == 0] :[font = output; output; inactive; preserveAspect; endGroup; endGroup] x^(-2) + q/x^2 - y^(-2) - p/y^2 == 0 ;[o] -2 q -2 p x + -- - y - -- == 0 2 2 x y :[font = subsection; inactive; preserveAspect; startGroup] Problem 10(e) :[font = input; preserveAspect; startGroup] Clear[xi,eta,x,y,u,p,q] xi[x,y,u] = 1/x-1/u; eta[x,y,u] = -y/u+1/x+2((u-x)/(u x))Log[x]- ((u-x)^2/(u^2 x)); J[f_,g_,x_,y_]:=D[f,x]D[g,y]-D[f,y]D[g,x]; P=J[xi[x,y,u],eta[x,y,u],y,u]; Q=J[xi[x,y,u],eta[x,y,u],u,x]; R=J[xi[x,y,u],eta[x,y,u],x,y]; Simplify[P p + Q q - R == 0] :[font = output; output; inactive; preserveAspect; endGroup; endGroup; endGroup] (-u^3 - q*x^2 + p*u*x^2 + q*u^2*y)/(u^4*x^2) == 0 ;[o] 3 2 2 2 -u - q x + p u x + q u y ---------------------------- == 0 4 2 u x :[font = section; inactive; Cclosed; preserveAspect; startGroup] Problem 12 :[font = text; inactive; preserveAspect] For each of the equations in Problem 10 whose solution surface contains the space curve in Problem 11, Plot3D will be used to plot the Cartesian representation of the solution and ParametricPlot3D will be used to plot the parametric form of the solutions that were obtained in Problem 11. Once the functions eta and xi have been obtained, the parametric form of the solution surface that passes through the line {t,t,t} can be obtained easily using Mathematica. The generalization to the parametric form of the solution surface that passes through any line should be obvious. :[font = subsection; inactive; Cclosed; preserveAspect; startGroup] Problem 12(a) :[font = text; inactive; preserveAspect] The Cartesian form of the solution is u(x,y)=x. 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.001 w .92112 .68299 m .91654 .68395 L s P p .001 w .92568 .7103 m .92107 .71118 L s P p .001 w .93033 .73822 m .92571 .739 L s P p .001 w .93508 .76675 m .93045 .76743 L s P p .001 w .94492 .82574 m .94025 .82622 L s P p .001 w .95 .85625 m .94533 .85663 L s P p .001 w .9552 .88746 m .95052 .88774 L s P p .001 w .96053 .91941 m .95584 .91957 L s P P % End of Graphics MathPictureEnd :[font = output; output; inactive; preserveAspect; endGroup] No Input Form was saved for this expression. ;[o] -SurfaceGraphics- :[font = input; preserveAspect; startGroup] Clear[x,y,u,s,t,xi,eta,c1,c2,r] xi = x y; eta = u/x; {y,u}={y,u}/. Solve[{xi==c1,eta==c2},{y,u}][[1]]; {c1,c2}={c1,c2}/. Solve[{x,y,u}=={s,s,s},{c1,c2},x][[1]]; r[s,t]={x,y,u}/.x->t :[font = output; output; inactive; preserveAspect; endGroup] {t, s^2/t, t} ;[o] 2 s {t, --, t} t :[font = input; preserveAspect; startGroup] ParametricPlot3D[{t,s^2/t,t},{s,-1,1},{t,-1,1}, BoxRatios->{1,1,1},ViewPoint->{-1,1,0.5}, PlotPoints->40] :[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 100; pictureWidth = 300; pictureHeight = 300] %! %%Creator: Mathematica %%AspectRatio: 1 MathPictureStart %% Graphics3D /Courier findfont 10 scalefont setfont % Scaling calculations -0.125 1.25 0.03125 1.25 [ [(-1)] .47413 .03502 1 .96923 Msboxa [(-0.5)] .34809 .1613 1 .74118 Msboxa [(0)] .25223 .25759 1 .6 Msboxa [(0.5)] .17687 .33339 1 .504 Msboxa [(1)] .11608 .39461 1 .43448 Msboxa [(-2)] .82675 .33703 -1 .49968 Msboxa [(0)] .74777 .25759 -1 .6 Msboxa [(2)] .64598 .15535 -1 .75072 Msboxa [(-1)] .8912 .41097 -1 .4198 Msboxa [(-0.5)] .91057 .52574 -1 .32862 Msboxa [(0)] .93189 .65274 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.933 .866 r F P s P p .002 w .18375 .66375 m .18402 .66322 L .19053 .66658 L p .866 .933 .866 r F P s P p .002 w .19053 .66658 m .18322 .66481 L .17857 .67411 L p .866 .933 .866 r F P s P p .002 w .18322 .66481 m .19053 .66658 L .18402 .66322 L closepath p .866 .933 .866 r F P s P p .002 w .18474 .66178 m .18402 .66322 L .19053 .66658 L p .866 .933 .866 r F P s P p .002 w .22561 .62798 m .20566 .61993 L .20739 .61648 L p .866 .933 .866 r F P s P p .002 w .22561 .62798 m .20459 .62207 L .20536 .62052 L p .866 .933 .866 r F P s P p .002 w .20536 .62052 m .20566 .61993 L .22561 .62798 L p .866 .933 .866 r F P s P p .002 w .22561 .62798 m .20459 .62207 L .20171 .62783 L p .866 .933 .866 r F P s P p .002 w .20459 .62207 m .22561 .62798 L .20566 .61993 L closepath p .866 .933 .866 r F P s P p .002 w .20625 .61874 m .20566 .61993 L .22561 .62798 L p .866 .933 .866 r F P s P p .002 w .23389 .6058 m .21581 .59963 L .2167 .59785 L p .866 .933 .866 r F P s P p .002 w .23389 .6058 m .2155 .60026 L .21574 .59977 L p .866 .933 .866 r F P s P p .002 w .21574 .59977 m .21581 .59963 L .23389 .6058 L p .866 .933 .866 r F P s P p .002 w .23389 .6058 m .2155 .60026 L .21224 .60676 L p .866 .933 .866 r F P s P p .002 w .2155 .60026 m .23389 .6058 L .21581 .59963 L closepath p .866 .933 .866 r F P s P p .002 w .21593 .59939 m .21581 .59963 L .23389 .6058 L p .866 .933 .866 r F P s P p .002 w .875 .40625 m .96875 .96875 L s .96875 .96875 m .5 .96875 L s .5 .96875 m .5 .03125 L s .5 .03125 m .875 .40625 L s .5 .03125 m .125 .40625 L s .125 .40625 m .03125 .96875 L s .03125 .96875 m .5 .96875 L s .5 .96875 m .5 .03125 L s P p p .002 w .5 .03125 m .125 .40625 L s P p .002 w .48535 .0459 m .49096 .05134 L s P [(-1)] .47413 .03502 1 .96923 Mshowa p .002 w .36064 .17061 m .36692 .17526 L s P [(-0.5)] .34809 .1613 1 .74118 Mshowa p .002 w .26563 .26563 m .27232 .26964 L s P [(0)] .25223 .25759 1 .6 Mshowa p .002 w .19082 .34043 m .1978 .34394 L s P [(0.5)] .17687 .33339 1 .504 Mshowa p .002 w .13041 .40084 m .13757 .40395 L s P [(1)] .11608 .39461 1 .43448 Mshowa p .001 w .45739 .07386 m .46085 .07702 L s P p .001 w .43107 .10018 m .43461 .10325 L s P p .001 w .40625 .125 m .40988 .12797 L s P p .001 w .38281 .14844 m .38651 .15132 L s P p .001 w .33964 .19161 m .34346 .19432 L s P p .001 w .31971 .21154 m .32359 .21417 L s P p .001 w .30078 .23047 m .30471 .23302 L s P p .001 w .28277 .24848 m .28675 .25096 L s P p .001 w .24927 .28198 m .25333 .28432 L s P p .001 w .23366 .29759 m .23776 .29987 L s P p .001 w .21875 .3125 m .22288 .31472 L s P p .001 w .20448 .32677 m .20864 .32893 L s P p .001 w .17773 .35352 m .18195 .35557 L s P p .001 w .16518 .36607 m .16941 .36808 L s P p .001 w .15313 .37813 m .15738 .38008 L s P p .001 w .14154 .38971 m .14582 .39162 L s P P p p .002 w .875 .40625 m .5 .03125 L s P p .002 w .81277 .34402 m .80578 .34751 L s P [(-2)] .82675 .33703 -1 .49968 Mshowa p .002 w .73437 .26563 m .72768 .26964 L s P [(0)] .74777 .25759 -1 .6 Mshowa p .002 w .63349 .16474 m .62724 .16943 L s P [(2)] .64598 .15535 -1 .75072 Mshowa p .001 w .86393 .39518 m .85964 .39707 L s P p .001 w .85194 .38319 m .84767 .38513 L s P p .001 w .83944 .37069 m .83519 .37268 L s P p .001 w .82639 .35764 m .82217 .35969 L s P p .001 w .79852 .32977 m .79436 .33192 L s P p .001 w .78361 .31486 m .77947 .31707 L s P p .001 w .76798 .29923 m .76388 .30151 L s P p .001 w .75159 .28284 m .74753 .28518 L s P p .001 w .71627 .24752 m .7123 .25001 L s P p .001 w .69722 .22847 m .69329 .23103 L s P p .001 w .67713 .20838 m .67325 .21102 L s P p .001 w .65591 .18716 m .6521 .18989 L s P p .001 w .60973 .14098 m .60605 .14389 L s P p .001 w .58453 .11578 m .58093 .11878 L s P p .001 w .55774 .08899 m .55423 .0921 L s P p .001 w .52922 .06047 m .52581 .06368 L s P P p p .002 w .875 .40625 m .96875 .96875 L s P p .002 w .87679 .41702 m .86959 .42004 L s P [(-1)] .8912 .41097 -1 .4198 Mshowa p .002 w .89573 .53062 m .88831 .53306 L s P [(-0.5)] .91057 .52574 -1 .32862 Mshowa p .002 w .91667 .65625 m .90905 .65801 L s P [(0)] .93189 .65274 -1 .23077 Mshowa p .002 w .93994 .79591 m .93219 .79689 L s P [(0.5)] .95545 .79397 -1 .12548 Mshowa p .002 w .96598 .95211 m .95816 .9522 L s P [(1)] .9816 .95192 -1 .01186 Mshowa p .001 w .88043 .43886 m .87609 .44061 L s P p .001 w .88415 .46113 m .87977 .46281 L s P p .001 w .88793 .48384 m .88353 .48545 L s P p .001 w .89179 .507 m .88736 .50853 L s P p .001 w .89975 .55473 m .89527 .55611 L s P p .001 w .90385 .57933 m .89934 .58063 L s P p .001 w .90803 .60444 m .90351 .60566 L s P p .001 w .9123 .63007 m .90776 .63121 L s P p .001 w .92112 .68299 m .91654 .68395 L s P p .001 w .92568 .7103 m .92107 .71118 L s P p .001 w .93033 .73822 m .92571 .739 L s P p .001 w .93508 .76675 m .93045 .76743 L s P p .001 w .94492 .82574 m .94025 .82622 L s P p .001 w .95 .85625 m .94533 .85663 L s P p .001 w .9552 .88746 m .95052 .88774 L s P p .001 w .96053 .91941 m .95584 .91957 L s P P p P % End of Graphics MathPictureEnd :[font = output; output; inactive; preserveAspect; endGroup; endGroup] No Input Form was saved for this expression. ;[o] -Graphics3D- :[font = subsection; inactive; Cclosed; preserveAspect; startGroup] Problem 12(b) :[font = text; inactive; preserveAspect] The solution can be written as u^2-3uy+x^2+y^2=0. We will plot x^2 as a function of y and u. :[font = input; preserveAspect; startGroup] Plot3D[3 u y-u^2-y^2,{u,-1,1},{y,-1,1}, BoxRatios->{1,1,1},ViewPoint->{0.25,1,0.65}] :[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 100; pictureWidth = 300; pictureHeight = 221] %! %%Creator: Mathematica %%AspectRatio: .73559 MathPictureStart %% SurfaceGraphics /Courier findfont 10 scalefont setfont % Scaling calculations -0.0351581 1.00991 -0.0679588 1.00991 [ [(-1)] .75328 .14558 -0.70198 1 Msboxa [(-0.5)] .64884 .11648 -0.51244 1 Msboxa [(0)] .53419 .0848 -0.32289 1 Msboxa [(0.5)] .40792 .05031 -0.13335 1 Msboxa [(1)] .26839 .01264 .05619 1 Msboxa [(-1)] .60452 .72288 -0.11853 -1 Msboxa [(-0.5)] .65258 .71223 -0.16234 -1 Msboxa [(0)] .71934 .69739 -0.22459 -1 Msboxa [(0.5)] .81833 .6753 -0.32004 -1 Msboxa [(1)] .98026 .63897 -0.48491 -1 Msboxa [(-4)] .23453 .07098 1 .25406 Msboxa [(-2)] .18089 .18858 1 .20763 Msboxa [(0)] .09343 .3804 1 .13555 Msboxa [ 0 0 0 0 ] [ 1 .73559 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath [ ] 0 setdash 0 g p p .002 w .74603 .15592 m .26909 .02525 L s P p .002 w .74603 .15592 m .7424 .16108 L s P [(-1)] .75328 .14558 -0.70198 1 Mshowa p .002 w .64308 .12771 m .6402 .13333 L s P [(-0.5)] .64884 .11648 -0.51244 1 Mshowa p .002 w .53031 .09682 m .52838 .10282 L s P [(0)] .53419 .0848 -0.32289 1 Mshowa p .002 w .40625 .06282 m .40541 .06908 L s P [(0.5)] .40792 .05031 -0.13335 1 Mshowa p .002 w .26909 .02525 m .26945 .03155 L s P [(1)] .26839 .01264 .05619 1 Mshowa p .001 w .72616 .15047 m .72407 .15363 L s P p .001 w .70594 .14494 m .70393 .14815 L s P p .001 w .68537 .1393 m .68344 .14256 L s P p .001 w .66441 .13356 m .66259 .13687 L s P p .001 w .62136 .12176 m .61973 .12518 L s P p .001 w .59923 .1157 m .59772 .11917 L s P p .001 w .57669 .10952 m .57529 .11304 L s P p .001 w .55372 .10323 m .55244 .10679 L s P p .001 w .50646 .09028 m .50542 .09392 L s P p .001 w .48214 .08362 m .48123 .08729 L s P p .001 w .45734 .07682 m .45656 .08053 L s P p .001 w .43205 .06989 m .43141 .07363 L s P p .001 w .37993 .05561 m .37957 .05938 L s P p .001 w .35307 .04826 m .35285 .05204 L s P p .001 w .32566 .04074 m .32558 .04453 L s P p .001 w .29767 .03308 m .29774 .03686 L s P P p p .002 w .60304 .71034 m .97475 .62761 L s P p .002 w .60304 .71034 m .60229 .70407 L s P [(-1)] .60452 .72288 -0.11853 -1 Mshowa p .002 w .65056 .69976 m .64955 .69353 L s P [(-0.5)] .65258 .71223 -0.16234 -1 Mshowa p .002 w .71658 .68507 m .71519 .67891 L s P [(0)] .71934 .69739 -0.22459 -1 Mshowa p .002 w .81448 .66328 m .81256 .65727 L s P [(0.5)] .81833 .6753 -0.32004 -1 Mshowa p .002 w .97475 .62761 m .972 .62193 L s P [(1)] .98026 .63897 -0.48491 -1 Mshowa p .001 w .61145 .70847 m .61097 .70471 L s P p .001 w .62035 .70649 m .61985 .70273 L s P p .001 w .62981 .70438 m .62927 .70063 L s P p .001 w .63986 .70215 m .63929 .6984 L s P p .001 w .66199 .69722 m .66134 .69349 L s P p .001 w .67421 .6945 m .67352 .69078 L s P p .001 w .68731 .69158 m .68658 .68787 L s P p .001 w .7014 .68845 m .70062 .68474 L s P p .001 w .73299 .68142 m .7321 .67774 L s P p .001 w .75078 .67746 m .74984 .67379 L s P p .001 w .77015 .67315 m .76914 .6695 L s P p .001 w .79129 .66844 m .79021 .66481 L s P p .001 w .84003 .65759 m .83879 .65401 L s P p .001 w .86831 .6513 m .86698 .64775 L s P p .001 w .89978 .64429 m .89835 .64079 L s P p .001 w .93502 .63645 m .93349 .63299 L s P P p p .002 w .26909 .02525 m .02525 .5586 L s P p .002 w .24676 .07409 m .25288 .07565 L s P [(-4)] .23453 .07098 1 .25406 Mshowa p .002 w .19325 .19114 m .19943 .19243 L s P [(-2)] .18089 .18858 1 .20763 Mshowa p .002 w .10594 .3821 m .1122 .38295 L s P [(0)] .09343 .3804 1 .13555 Mshowa p .001 w .23778 .09373 m .24146 .09464 L s P p .001 w .22805 .11502 m .23173 .1159 L s P p .001 w .21746 .13817 m .22116 .13902 L s P p .001 w .20591 .16345 m .20961 .16425 L s P p .001 w .17931 .22163 m .18302 .22236 L s P p .001 w .16389 .25536 m .16761 .25604 L s P p .001 w .14674 .29287 m .15047 .2935 L s P p .001 w .12755 .33484 m .13129 .33541 L s P p .001 w .25507 .05592 m .25874 .05687 L s P p .001 w .26278 .03905 m .26644 .04003 L s P p .001 w .08142 .43573 m .08518 .43617 L s P p .001 w .05336 .49712 m .05713 .49747 L s P P 0 0 m 1 0 L 1 .73559 L 0 .73559 L closepath clip newpath p .002 w .56747 .41028 m .60304 .71034 L s .60304 .71034 m .97475 .62761 L s .97475 .62761 m .74603 .15592 L s .74603 .15592 m .56747 .41028 L s .28838 .36852 m .26909 .02525 L s .26909 .02525 m .02525 .5586 L s .02525 .5586 m .21156 .69976 L s .21156 .69976 m .28838 .36852 L s .56747 .41028 m .60304 .71034 L s .60304 .71034 m .21156 .69976 L s .21156 .69976 m .28838 .36852 L s .28838 .36852 m .56747 .41028 L s .74603 .15592 m .26909 .02525 L s .26909 .02525 m .02525 .5586 L s .02525 .5586 m .97475 .62761 L s .97475 .62761 m .74603 .15592 L s P p .43 .647 .949 r .0015 w .60189 .70068 .61251 .68688 .58705 .6793 .57679 .68951 Metetra .285 .57 .936 r .57679 .68951 .58705 .6793 .56116 .66903 .55147 .67577 Metetra .121 .471 .894 r .55147 .67577 .56116 .66903 .53502 .65612 .52611 .65958 Metetra 0 .355 .823 r .52611 .65958 .53502 .65612 .50881 .64067 .50088 .64108 Metetra 0 .232 .728 r .50088 .64108 .50881 .64067 .48273 .62282 .47596 .62043 Metetra 0 .113 .621 r .47596 .62043 .48273 .62282 .45696 .60273 .45151 .59785 Metetra 0 .005 .512 r .45151 .59785 .45696 .60273 .43169 .5806 .42767 .57352 Metetra .585 .089 0 r .42767 .57352 .43169 .5806 .40706 .55663 .40458 .5477 Metetra .661 .167 0 r .40458 .5477 .40706 .55663 .38323 .53108 .38236 .5206 Metetra .72 .231 0 r .38236 .5206 .38323 .53108 .36032 .50416 .36111 .49247 Metetra .765 .285 0 r .36111 .49247 .36032 .50416 .33845 .47614 .34091 .46353 Metetra .849 .396 0 r .30386 .40414 .29812 .41772 .27978 .38779 .28709 .3741 Metetra .827 .365 0 r .32181 .43402 .31769 .44724 .29812 .41772 .30386 .40414 Metetra .8 .329 0 r .34091 .46353 .33845 .47614 .31769 .44724 .32181 .43402 Metetra .545 .73 .961 r .61251 .68688 .62343 .66948 .59774 .66565 .58705 .6793 Metetra .414 .669 .966 r .58705 .6793 .59774 .66565 .57137 .65904 .56116 .66903 Metetra .257 .584 .945 r .56116 .66903 .57137 .65904 .54452 .64967 .53502 .65612 Metetra .083 .475 .892 r .53502 .65612 .54452 .64967 .51738 .63757 .50881 .64067 Metetra 0 .35 .809 r .50881 .64067 .51738 .63757 .49015 .62284 .48273 .62282 Metetra 0 .222 .706 r .48273 .62282 .49015 .62284 .46304 .60559 .45696 .60273 Metetra 0 .102 .594 r .45696 .60273 .46304 .60559 .43626 .586 .43169 .5806 Metetra .515 .005 0 r .43169 .5806 .43626 .586 .40999 .56426 .40706 .55663 Metetra .606 .096 0 r .40706 .55663 .40999 .56426 .38441 .54057 .38323 .53108 Metetra .676 .171 0 r .38323 .53108 .38441 .54057 .35969 .51519 .36032 .50416 Metetra .73 .234 0 r .36032 .50416 .35969 .51519 .33596 .48836 .33845 .47614 Metetra .828 .363 0 r .29812 .41772 .29194 .43138 .27181 .40173 .27978 .38779 Metetra .803 .327 0 r .31769 .44724 .31334 .46034 .29194 .43138 .29812 .41772 Metetra .771 .285 0 r .33845 .47614 .33596 .48836 .31334 .46034 .31769 .44724 Metetra .65 .802 .956 r .62343 .66948 .63459 .64831 .60881 .64829 .59774 .66565 Metetra .537 .759 .978 r .59774 .66565 .60881 .64829 .58209 .6455 .57137 .65904 Metetra .395 .691 .979 r .57137 .65904 .58209 .6455 .55463 .63987 .54452 .64967 Metetra .228 .596 .949 r .54452 .64967 .55463 .63987 .52661 .6314 .51738 .63757 Metetra .046 .477 .885 r .51738 .63757 .52661 .6314 .49826 .62011 .49015 .62284 Metetra 0 .345 .791 r .49015 .62284 .49826 .62011 .4698 .60607 .46304 .60559 Metetra 0 .213 .68 r .46304 .60559 .4698 .60607 .44145 .5894 .43626 .586 Metetra 0 .093 .566 r .43626 .586 .44145 .5894 .41344 .57025 .40999 .56426 Metetra .537 .012 0 r .40999 .56426 .41344 .57025 .38597 .54882 .38441 .54057 Metetra .621 .1 0 r .38441 .54057 .38597 .54882 .35925 .52534 .35969 .51519 Metetra .686 .173 0 r .35969 .51519 .35925 .52534 .33346 .50004 .33596 .48836 Metetra .804 .324 0 r .29194 .43138 .28525 .44505 .26307 .4159 .27181 .40173 Metetra .774 .283 0 r .31334 .46034 .30875 .47318 .28525 .44505 .29194 .43138 Metetra .736 .233 0 r .33596 .48836 .33346 .50004 .30875 .47318 .31334 .46034 Metetra .742 .859 .935 r .63459 .64831 .64594 .62319 .62022 .62699 .60881 .64829 Metetra .649 .833 .971 r .60881 .64829 .62022 .62699 .59329 .6281 .58209 .6455 Metetra .527 .785 .992 r .58209 .6455 .59329 .6281 .56533 .6264 .55463 .63987 Metetra .374 .71 .986 r .55463 .63987 .56533 .6264 .53652 .62179 .52661 .6314 Metetra .197 .605 .946 r .52661 .6314 .53652 .62179 .5071 .61424 .49826 .62011 Metetra .01 .477 .871 r .49826 .62011 .5071 .61424 .47728 .60376 .4698 .60607 Metetra 0 .34 .769 r .4698 .60607 .47728 .60376 .44732 .59039 .44145 .5894 Metetra 0 .206 .654 r .44145 .5894 .44732 .59039 .41747 .57426 .41344 .57025 Metetra .453 0 0 r .41344 .57025 .41747 .57426 .38797 .5555 .38597 .54882 Metetra .554 .017 0 r .38597 .54882 .38797 .5555 .35906 .53432 .35925 .52534 Metetra .632 .102 0 r .35925 .52534 .35906 .53432 .33096 .51094 .33346 .50004 Metetra .776 .279 0 r .28525 .44505 .27799 .45861 .25344 .43022 .26307 .4159 Metetra .739 .231 0 r .30875 .47318 .30388 .48561 .27799 .45861 .28525 .44505 Metetra .693 .173 0 r .33346 .50004 .33096 .51094 .30388 .48561 .30875 .47318 Metetra .818 .901 .9 r .64594 .62319 .65739 .59401 .6319 .60157 .62022 .62699 Metetra .744 .89 .945 r .62022 .62699 .6319 .60157 .60492 .6066 .59329 .6281 Metetra .644 .862 .982 r .59329 .6281 .60492 .6066 .5766 .60891 .56533 .6264 Metetra .513 .809 .999 r .56533 .6264 .5766 .60891 .54713 .60835 .53652 .62179 Metetra .351 .726 .986 r .53652 .62179 .54713 .60835 .5167 .60481 .5071 .61424 Metetra .167 .612 .937 r .5071 .61424 .5167 .60481 .48556 .59821 .47728 .60376 Metetra 0 .477 .852 r .47728 .60376 .48556 .59821 .45396 .58855 .44732 .59039 Metetra 0 .335 .743 r .44732 .59039 .45396 .58855 .42217 .57586 .41747 .57426 Metetra 0 .201 .626 r .41747 .57426 .42217 .57586 .39048 .56023 .38797 .5555 Metetra .471 0 0 r .38797 .5555 .39048 .56023 .35917 .54181 .35906 .53432 Metetra .566 .018 0 r .35906 .53432 .35917 .54181 .3285 .52079 .33096 .51094 Metetra .74 .227 0 r .27799 .45861 .27008 .47192 .24276 .44462 .25344 .43022 Metetra .696 .17 0 r .30388 .48561 .29872 .49741 .27008 .47192 .27799 .45861 Metetra .639 .101 0 r .33096 .51094 .3285 .52079 .29872 .49741 .30388 .48561 Metetra .877 .928 .853 r .65739 .59401 .66886 .56072 .64377 .57186 .6319 .60157 Metetra .821 .929 .904 r .6319 .60157 .64377 .57186 .61693 .58073 .60492 .6066 Metetra .743 .918 .951 r .60492 .6066 .61693 .58073 .58843 .58708 .5766 .60891 Metetra .636 .887 .986 r .5766 .60891 .58843 .58708 .55842 .59068 .54713 .60835 Metetra .497 .829 .999 r .54713 .60835 .55842 .59068 .52709 .59136 .5167 .60481 Metetra .327 .738 .979 r .5167 .60481 .52709 .59136 .49467 .58895 .48556 .59821 Metetra .138 .616 .92 r .48556 .59821 .49467 .58895 .46142 .58337 .45396 .58855 Metetra 0 .475 .828 r .45396 .58855 .46142 .58337 .42762 .57456 .42217 .57586 Metetra 0 .331 .717 r .42217 .57586 .42762 .57456 .39359 .56255 .39048 .56023 Metetra .368 0 0 r .39048 .56023 .39359 .56255 .35964 .5474 .35917 .54181 Metetra .483 0 0 r .35917 .54181 .35964 .5474 .32609 .52926 .3285 .52079 Metetra .697 .165 0 r .27008 .47192 .26142 .48479 .23086 .459 .24276 .44462 Metetra .643 .098 0 r .29872 .49741 .29325 .50831 .26142 .48479 .27008 .47192 Metetra .573 .017 0 r .3285 .52079 .32609 .52926 .29325 .50831 .29872 .49741 Metetra .92 .941 .799 r .66886 .56072 .68025 .52331 .65577 .53778 .64377 .57186 Metetra .878 .951 .852 r .64377 .57186 .65577 .53778 .62925 .55031 .61693 .58073 Metetra .82 .953 .904 r .61693 .58073 .62925 .55031 .60075 .56061 .58843 .58708 Metetra .737 .941 .951 r .58843 .58708 .60075 .56061 .57038 .5684 .55842 .59068 Metetra .624 .907 .983 r .55842 .59068 .57038 .5684 .53829 .57342 .52709 .59136 Metetra .478 .843 .991 r .52709 .59136 .53829 .57342 .50468 .57545 .49467 .58895 Metetra .302 .745 .964 r .49467 .58895 .50468 .57545 .4698 .57429 .46142 .58337 Metetra .111 .617 .898 r .46142 .58337 .4698 .57429 .43393 .5698 .42762 .57456 Metetra 0 .473 .802 r .42762 .57456 .43393 .5698 .39739 .5619 .39359 .56255 Metetra 0 .328 .689 r .39359 .56255 .39739 .5619 .36055 .55058 .35964 .5474 Metetra .38 0 0 r .35964 .5474 .36055 .55058 .32377 .53589 .32609 .52926 Metetra .643 .093 0 r .26142 .48479 .25188 .49698 .21749 .47319 .23086 .459 Metetra .576 .013 0 r .29325 .50831 .28742 .51796 .25188 .49698 .26142 .48479 Metetra .49 0 0 r .32609 .52926 .32377 .53589 .28742 .51796 .29325 .50831 Metetra .949 .944 .741 r .68025 .52331 .69146 .48187 .66777 .4993 .65577 .53778 Metetra .919 .96 .793 r .65577 .53778 .66777 .4993 .64179 .5152 .62925 .55031 Metetra .876 .971 .847 r .62925 .55031 .64179 .5152 .61351 .52926 .60075 .56061 Metetra .814 .973 .899 r .60075 .56061 .61351 .52926 .58298 .54114 .57038 .5684 Metetra .727 .959 .944 r .57038 .5684 .58298 .54114 .5503 .55054 .53829 .57342 Metetra .609 .922 .973 r .53829 .57342 .5503 .55054 .51563 .55716 .50468 .57545 Metetra .457 .852 .976 r .50468 .57545 .51563 .55716 .47916 .5607 .4698 .57429 Metetra .278 .748 .942 r .4698 .57429 .47916 .5607 .44118 .56092 .43393 .5698 Metetra .088 .616 .872 r .43393 .5698 .44118 .56092 .402 .55765 .39739 .5619 Metetra 0 .471 .774 r .39739 .5619 .402 .55765 .36201 .55075 .36055 .55058 Metetra 0 .328 .664 r .36055 .55058 .36201 .55075 .3216 .54017 .32377 .53589 Metetra .575 .007 0 r .25188 .49698 .24132 .50814 .20233 .48698 .21749 .47319 Metetra .493 0 0 r .28742 .51796 .28122 .52592 .24132 .50814 .25188 .49698 Metetra .388 0 0 r .32377 .53589 .3216 .54017 .28122 .52592 .28742 .51796 Metetra .966 .937 .68 r .69146 .48187 .70238 .43654 .67968 .45647 .66777 .4993 Metetra .945 .957 .73 r .66777 .4993 .67968 .45647 .65445 .47534 .64179 .5152 Metetra .914 .974 .783 r .64179 .5152 .65445 .47534 .62663 .49282 .61351 .52926 Metetra .869 .985 .837 r .61351 .52926 .62663 .49282 .59617 .50858 .58298 .54114 Metetra .804 .987 .888 r .58298 .54114 .59617 .50858 .56312 .52226 .5503 .55054 Metetra .713 .971 .931 r .5503 .55054 .56312 .52226 .52754 .53349 .51563 .55716 Metetra .59 .929 .956 r .51563 .55716 .52754 .53349 .48959 .54192 .47916 .5607 Metetra .436 .855 .954 r .47916 .5607 .48959 .54192 .4495 .5472 .44118 .56092 Metetra .257 .747 .915 r .44118 .56092 .4495 .5472 .40755 .54903 .402 .55765 Metetra .069 .614 .843 r .402 .55765 .40755 .54903 .36412 .54715 .36201 .55075 Metetra 0 .469 .747 r .36201 .55075 .36412 .54715 .31964 .54138 .3216 .54017 Metetra .492 0 0 r .24132 .50814 .22954 .51781 .18501 .50008 .20233 .48698 Metetra .39 0 0 r .28122 .52592 .27461 .5316 .22954 .51781 .24132 .50814 Metetra .263 0 0 r .3216 .54017 .31964 .54138 .27461 .5316 .28122 .52592 Metetra .973 .924 .619 r .70238 .43654 .71291 .38755 .69139 .40943 .67968 .45647 Metetra .959 .946 .666 r .67968 .45647 .69139 .40943 .66713 .43075 .65445 .47534 Metetra .937 .966 .717 r .65445 .47534 .66713 .43075 .64001 .4512 .62663 .49282 Metetra .905 .984 .77 r .62663 .49282 .64001 .4512 .60988 .47045 .59617 .50858 Metetra .858 .995 .823 r .59617 .50858 .60988 .47045 .5767 .48815 .56312 .52226 Metetra .79 .994 .872 r .56312 .52226 .5767 .48815 .54044 .50388 .52754 .53349 Metetra .696 .976 .912 r .52754 .53349 .54044 .50388 .50116 .51725 .48959 .54192 Metetra .57 .931 .934 r .48959 .54192 .50116 .51725 .459 .52781 .4495 .5472 Metetra .415 .854 .927 r .4495 .5472 .459 .52781 .41418 .53515 .40755 .54903 Metetra .238 .744 .886 r .40755 .54903 .41418 .53515 .36703 .53888 .36412 .54715 Metetra .055 .612 .814 r .36412 .54715 .36703 .53888 .31798 .53867 .31964 .54138 Metetra .388 0 0 r .22954 .51781 .21632 .52539 .16497 .51207 .18501 .50008 Metetra .265 0 0 r .27461 .5316 .26754 .53423 .21632 .52539 .22954 .51781 Metetra 0 .47 .721 r .31964 .54138 .31798 .53867 .26754 .53423 .27461 .5316 Metetra .972 .906 .558 r .71291 .38755 .72294 .33521 .70277 .3584 .69139 .40943 Metetra .964 .929 .604 r .69139 .40943 .70277 .3584 .67971 .38153 .66713 .43075 Metetra .949 .951 .652 r .66713 .43075 .67971 .38153 .65353 .40435 .64001 .4512 Metetra .926 .972 .702 r .64001 .4512 .65353 .40435 .62402 .42657 .60988 .47045 Metetra .892 .989 .754 r .60988 .47045 .62402 .42657 .591 .44784 .5767 .48815 Metetra .843 .999 .806 r .5767 .48815 .591 .44784 .55433 .46777 .54044 .50388 Metetra .773 .997 .853 r .54044 .50388 .55433 .46777 .51392 .48593 .50116 .51725 Metetra .676 .976 .89 r .50116 .51725 .51392 .48593 .4698 .50183 .459 .52781 Metetra .55 .928 .907 r .459 .52781 .4698 .50183 .42205 .51497 .41418 .53515 Metetra .396 .85 .898 r .41418 .53515 .42205 .51497 .37091 .52483 .36703 .53888 Metetra .223 .74 .857 r .36703 .53888 .37091 .52483 .31672 .53092 .31798 .53867 Metetra .262 0 0 r .21632 .52539 .20132 .53001 .1415 .52232 .16497 .51207 Metetra 0 .472 .698 r .26754 .53423 .25998 .53278 .20132 .53001 .21632 .52539 Metetra .046 .61 .787 r .31798 .53867 .31672 .53092 .25998 .53278 .26754 .53423 Metetra .965 .884 .5 r .72294 .33521 .73236 .27989 .7137 .30369 .70277 .3584 Metetra .961 .908 .543 r .70277 .3584 .7137 .30369 .69204 .32791 .67971 .38153 Metetra .952 .931 .588 r .67971 .38153 .69204 .32791 .66707 .35237 .65353 .40435 Metetra .936 .953 .636 r .65353 .40435 .66707 .35237 .63847 .37684 .62402 .42657 Metetra .912 .974 .686 r .62402 .42657 .63847 .37684 .60594 .40105 .591 .44784 Metetra .877 .99 .736 r .591 .44784 .60594 .40105 .56917 .42464 .55433 .46777 Metetra .825 .999 .786 r .55433 .46777 .56917 .42464 .52793 .44721 .51392 .48593 Metetra .754 .995 .831 r .51392 .48593 .52793 .44721 .48202 .46827 .4698 .50183 Metetra .656 .971 .865 r .4698 .50183 .48202 .46827 .43135 .48728 .42205 .51497 Metetra .531 .922 .88 r .42205 .51497 .43135 .48728 .37595 .50365 .37091 .52483 Metetra .38 .843 .869 r .37091 .52483 .37595 .50365 .31601 .51674 .31672 .53092 Metetra .117 0 0 r .20132 .53001 .18414 .53049 .11357 .52995 .1415 .52232 Metetra .042 .61 .762 r .25998 .53278 .25188 .5259 .18414 .53049 .20132 .53001 Metetra .212 .736 .829 r .31672 .53092 .31601 .51674 .25188 .5259 .25998 .53278 Metetra .954 .86 .444 r .73236 .27989 .74109 .22203 .72407 .24569 .7137 .30369 Metetra .952 .884 .484 r .7137 .30369 .72407 .24569 .704 .2702 .69204 .32791 Metetra .947 .907 .527 r .69204 .32791 .704 .2702 .68048 .29545 .66707 .35237 Metetra .938 .931 .572 r .66707 .35237 .68048 .29545 .6531 .32131 .63847 .37684 Metetra .921 .953 .62 r .63847 .37684 .6531 .32131 .62141 .3476 .60594 .40105 Metetra .896 .973 .668 r .60594 .40105 .62141 .3476 .58492 .37406 .56917 .42464 Metetra .859 .988 .718 r .56917 .42464 .58492 .37406 .54319 .40036 .52793 .44721 Metetra .807 .995 .766 r .52793 .44721 .54319 .40036 .49577 .42609 .48202 .46827 Metetra .734 .989 .808 r .48202 .46827 .49577 .42609 .44227 .45075 .43135 .48728 Metetra .637 .964 .839 r .43135 .48728 .44227 .45075 .3824 .47373 .37595 .50365 Metetra .514 .915 .852 r .37595 .50365 .3824 .47373 .31603 .49433 .31601 .51674 Metetra .043 .611 .741 r .18414 .53049 .16423 .52515 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Solve[{xi==c1,eta==c2},{x,u}][[1]]; {c1,c2}={c1,c2}/. 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m .50863 .60751 L .49987 .58596 L p .67 .32 0 r F P s P p .002 w .49987 .58596 m .48696 .55419 L p .49678 .57796 L .67 .32 0 r F P s P p .50257 .59193 m .49987 .58596 L .49678 .57796 L .67 .32 0 r F P p .50863 .60751 m .49907 .58019 L .5036 .59148 L 0 0 .24 r F P p .5036 .59148 m .50223 .58805 L .4975 .57204 L 0 0 .24 r F P p .002 w .50469 .59781 m .50863 .60751 L p .50151 .5848 L 0 0 .24 r F P s P p .52341 .61987 m .50863 .60751 L .52578 .623 L 0 0 .536 r F P p .002 w .48696 .55419 m .49107 .56334 L p .48085 .5189 L 0 0 .24 r F P s P p .50223 .58805 m .49907 .58019 L .4975 .57204 L 0 0 .24 r F P p .50237 .58846 m .50129 .58412 L .49509 .57227 L 0 0 .24 r F P p .50237 .58846 m .49509 .57227 L .49159 .56559 L 0 0 .24 r F P p .002 w .49159 .56559 m .50469 .59781 L p .50237 .58846 L 0 0 .24 r F P s P p .50151 .5848 m .50129 .58412 L .50469 .59781 L 0 0 .24 r F P p .50129 .58412 m .48085 .5189 L .49159 .56559 L 0 0 .24 r F P p .002 w .47067 .49764 m .46509 .445 L .48696 .55419 L p .731 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.57955 L .48963 .56676 L p 0 0 .224 r F P s P p .002 w .46509 .445 m .47067 .49764 L .48038 .53304 L p 0 0 .17 r F P s P p .002 w .48963 .56676 m .47067 .49764 L p .49437 .57866 L 0 0 .224 r F P s P p .49914 .59496 m .48963 .56676 L .49437 .57866 L 0 0 .224 r F P p .002 w .49314 .57955 m .49914 .59496 L .49054 .57347 L p .665 .322 0 r F P s P p .002 w .49054 .57347 m .47678 .53906 L p .48717 .56478 L .665 .322 0 r F P s P p .49314 .57955 m .49054 .57347 L .48717 .56478 L .665 .322 0 r F P p .002 w .4957 .58636 m .49914 .59496 L p .4928 .57328 L 0 0 .224 r F P s P p .002 w .47678 .53906 m .47067 .49764 L .49314 .57955 L p .665 .322 0 r F P s P p .49081 .56952 m .47067 .49764 L .48477 .55903 L 0 0 .224 r F P p .002 w .48477 .55903 m .4957 .58636 L p .49261 .57265 L 0 0 .224 r F P s P p .4928 .57328 m .49261 .57265 L .4957 .58636 L 0 0 .224 r F P p .002 w .47067 .49764 m .47678 .53906 L .48477 .55903 L p 0 0 .224 r F P s P p .002 w .49914 .59496 m .49633 .58794 L p .50302 .59763 L 0 0 .305 r F P s P p .50302 .59763 m .49633 .58794 L .49941 .591 L 0 0 .305 r F P p .50302 .59763 m .49244 .57821 L .49498 .58069 L 0 0 .305 r F P p .50302 .59763 m .48516 .56001 L .49018 .56898 L 0 0 .305 r F P p .002 w .50472 .60141 m .50442 .60107 L p .50302 .59763 L 0 0 .305 r F P s P p .002 w .50442 .60107 m .49914 .59496 L p .50302 .59763 L 0 0 .305 r F P s P p .002 w .49914 .59496 m .50472 .60141 L .49693 .5893 L p 0 0 .405 r F P s P p .002 w .49693 .5893 m .48307 .56774 L p .49406 .58636 L 0 0 .405 r F P s P p .49914 .59496 m .49693 .5893 L .49406 .58636 L 0 0 .405 r F P p .50152 .59662 m .4982 .59321 L .49674 .58946 L 0 .06 .618 r F P p .4982 .59321 m .48917 .58393 L .49674 .58946 L 0 .06 .618 r F P p .002 w .48857 .57629 m .50472 .60141 L p .48414 .57057 L 0 .06 .618 r F P s P p .002 w .49633 .58794 m .49244 .57821 L p .49941 .591 L 0 0 .305 r F P s P p .002 w .49184 .58138 m .50472 .60141 L p .49817 .58681 L 0 0 .305 r F P s P p .002 w .49244 .57821 m .48516 .56001 L p .49498 .58069 L 0 0 .305 r F P s P p .002 w .48516 .56001 m .47678 .53906 L p .49018 .56898 L 0 0 .305 r F P s P p .49817 .58681 m .48727 .56247 L .49134 .57933 L 0 0 .305 r F P p .49817 .58681 m .49134 .57933 L .49184 .58138 L 0 0 .305 r F P p .48727 .56247 m .47678 .53906 L .49184 .58138 L 0 0 .305 r F P p .002 w .47178 .5541 m .46854 .53557 L p .48917 .58393 L 0 0 .4 r F P s P p .002 w .46499 .51531 m .45875 .45747 L .48307 .56774 L p 0 0 .241 r F P s P p .002 w .50472 .60141 m .48307 .56774 L p .49308 .5801 L 0 0 .425 r F P s P p .50681 .59706 m .50477 .60131 L .49308 .5801 L 0 0 .425 r F P p .50477 .60131 m .50472 .60141 L .49308 .5801 L 0 0 .425 r F P p .002 w .50919 .60072 m .50472 .60141 L p .50681 .59706 L 0 0 .425 r F P s P p .002 w .48917 .58393 m .48414 .57057 L p .49674 .58946 L 0 .06 .618 r F P s P p .002 w .48414 .57057 m .48307 .56774 L .48857 .57629 L p 0 .06 .618 r F P s P p .002 w .48307 .56774 m .48917 .58393 L .50644 .59798 L p 0 0 .425 r F P s P p .50394 .59351 m .48307 .56774 L .50644 .59798 L 0 0 .425 r F P p .4816 .53501 m .47067 .49764 L .48234 .53929 L 0 0 .224 r F P p .46086 .38751 m .47066 .45014 L .46649 .42456 L 0 0 .132 r F P p .48083 .51547 m .48092 .51579 L .46086 .38751 L 0 0 .132 r F P p .48092 .51579 m .48085 .51518 L .46086 .38751 L 0 0 .132 r F P p .002 w .46086 .38751 m .46059 .38751 L p .48083 .51547 L 0 0 .132 r F P s P p .002 w .46509 .445 m .46059 .38751 L .46131 .38267 L p 0 0 .099 r F P s P p .002 w .46059 .38751 m .46509 .445 L .46032 .38334 L closepath p 0 0 .058 r F P s P p .002 w .45853 .38351 m .46032 .38334 L .46509 .445 L p .706 .514 0 r F P s P p .002 w .47067 .49764 m .45822 .38071 L .45853 .38351 L p .706 .514 0 r F P s P p .002 w .46509 .445 m .47067 .49764 L p .45853 .38351 L .706 .514 0 r F P s P p .002 w .46131 .38267 m .46032 .38334 L .46509 .445 L p 0 0 .099 r F P s P p .002 w .46509 .445 m .46032 .38334 L .46087 .37921 L p 0 0 .109 r F P s P p .002 w .47067 .49764 m .46509 .445 L p .46087 .37921 L 0 0 .109 r F P s P p .002 w .46087 .37921 m .45822 .38071 L .47067 .49764 L p 0 0 .109 r F P s P p .002 w .47067 .49764 m .45822 .38071 L .4585 .37824 L p 0 0 .124 r F P s P p .002 w .45363 .38449 m .45345 .38052 L .45822 .38071 L p .707 .487 0 r F P s P p .002 w .45822 .38071 m .47067 .49764 L p .45363 .38449 L .707 .487 0 r F P s P p .002 w .47678 .53906 m .47067 .49764 L p .46311 .42351 L 0 0 .124 r F P s P p .45937 .3868 m .46539 .4394 L .46311 .42351 L 0 0 .124 r F P p .46539 .4394 m .47678 .53906 L .46311 .42351 L 0 0 .124 r F P p .46051 .39593 m .47678 .53906 L .45937 .3868 L 0 0 .124 r F P p .002 w .4585 .37824 m .45345 .38052 L p .45417 .38538 L 0 0 .124 r F P s P p .45417 .38538 m .47678 .53906 L .46051 .39593 L 0 0 .124 r F P p .4585 .37824 m .46051 .39593 L .45937 .3868 L 0 0 .124 r F P p .45417 .38538 m .46051 .39593 L .4585 .37824 L 0 0 .124 r F P p .002 w .47067 .49764 m .47678 .53906 L .46134 .43596 L p .707 .487 0 r F P s P p .002 w .46134 .43596 m .45363 .38449 L p .45907 .42058 L 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p .478 .53614 L 0 0 .149 r F P s P p .47834 .53891 m .47797 .53599 L .47715 .53395 L 0 0 .149 r F P p .002 w .45875 .45747 m .45363 .38449 L .47678 .53906 L p .693 .44 0 r F P s P p .47834 .53891 m .47715 .53395 L .47381 .52575 L 0 0 .149 r F P p .002 w .47381 .52575 m .48046 .55589 L p .47834 .53891 L 0 0 .149 r F P s P p .478 .53614 m .47797 .53599 L .48046 .55589 L 0 0 .149 r F P p .002 w .45363 .38449 m .45875 .45747 L .47381 .52575 L p 0 0 .149 r F P s P p .47797 .53599 m .45363 .38449 L .47381 .52575 L 0 0 .149 r F P p .002 w .48917 .58393 m .48307 .56774 L .47937 .55095 L p 0 0 .191 r F P s P p .48917 .58393 m .47937 .55095 L .48247 .55932 L 0 0 .191 r F P p .48917 .58393 m .47588 .53513 L .47899 .54329 L 0 0 .191 r F P p .48917 .58393 m .46801 .49944 L .47388 .52035 L 0 0 .191 r F P p .002 w .48307 .56774 m .48917 .58393 L .4807 .55991 L p 0 0 .241 r F P s P p .002 w .4807 .55991 m .4785 .55365 L p .47941 .55646 L 0 0 .241 r F P s P p .48307 .56774 m .4807 .55991 L .47941 .55646 L 0 0 .241 r F P p .002 w .48653 .57645 m .48917 .58393 L p .48707 .57901 L 0 0 .4 r F P s P p .48707 .57901 m .46854 .53557 L .48653 .57645 L 0 0 .4 r F P p .002 w .4785 .55365 m .48917 .58393 L p .48386 .56187 L 0 0 .191 r F P s P p .002 w .47937 .55095 m .47588 .53513 L p .48247 .55932 L 0 0 .191 r F P s P p .002 w .47588 .53513 m .46801 .49944 L p .47899 .54329 L 0 0 .191 r F P s P p .48264 .55999 m .47456 .52531 L .47882 .55414 L 0 0 .191 r F P p .002 w .46801 .49944 m .45875 .45747 L p .47388 .52035 L 0 0 .191 r F P s P p .47456 .52531 m .45875 .45747 L .47882 .55414 L 0 0 .191 r F P p .48386 .56187 m .4815 .55206 L .48264 .55999 L 0 0 .191 r F P p .4815 .55206 m .45875 .45747 L .48264 .55999 L 0 0 .191 r F P p .002 w .45875 .45747 m .46499 .51531 L .4785 .55365 L p 0 0 .191 r F P s P p .002 w .5097 .60064 m .50919 .60072 L p .50681 .59706 L 0 0 .425 r F P s P p .50472 .60141 m .50238 .59879 L .50152 .59662 L 0 .06 .618 r F P p .50238 .59879 m .48917 .58393 L .50152 .59662 L 0 .06 .618 r F P p .002 w .50472 .60141 m .5097 .60064 L .49767 .59085 L p 0 .06 .618 r F P s P p .002 w .49767 .59085 m .48917 .58393 L p .49604 .59166 L 0 .06 .618 r F P s P p .50472 .60141 m .49767 .59085 L .49604 .59166 L 0 .06 .618 r F P p .002 w .49473 .58951 m .48917 .58393 L .49767 .59085 L p .064 .394 .852 r F P s P p .002 w .49767 .59085 m .5014 .59388 L p .49473 .58951 L .064 .394 .852 r F P s P p .002 w .50644 .59798 m .5097 .60064 L p .50394 .59351 L 0 0 .425 r F P s P p .002 w .5097 .60064 m .48917 .58393 L p .50998 .59303 L 0 .033 .595 r F P s P p .002 w .51398 .59478 m .51328 .59573 L p .50998 .59303 L 0 .033 .595 r F P s P p .002 w .51328 .59573 m .5097 .60064 L p .50998 .59303 L 0 .033 .595 r F P s P p .002 w .4785 .55365 m .48232 .5645 L p .46854 .53557 L 0 0 .4 r F P s P p .48337 .56926 m .46854 .53557 L .48232 .5645 L 0 0 .4 r F P p .002 w .46854 .53557 m .46499 .51531 L .4785 .55365 L p 0 0 .4 r F P s P p .002 w .46499 .51531 m .47178 .5541 L .48239 .57047 L p 0 0 .264 r F P s P p .002 w .49473 .58951 m .50763 .59304 L p .50552 .592 L 0 .033 .595 r F P s P p .50552 .592 m .48917 .58393 L .49473 .58951 L 0 .033 .595 r F P p .5057 .59116 m .48917 .58393 L .50763 .59304 L 0 .033 .595 r F P p .002 w .49473 .58951 m .48917 .58393 L .48661 .57668 L p 0 0 .264 r F P s P p .002 w .48661 .57668 m .48341 .56761 L p .48934 .57907 L 0 0 .264 r F P s P p .49473 .58951 m .48661 .57668 L .48934 .57907 L 0 0 .264 r F P p .49473 .58951 m .48341 .56761 L .48724 .57082 L 0 0 .264 r F P p .002 w .48685 .57735 m .49217 .58555 L p .48525 .57281 L 0 0 .264 r F P s P p .49217 .58555 m .48816 .57519 L .48525 .57281 L 0 0 .264 r F P p .002 w .48917 .58393 m .49473 .58951 L .48762 .57854 L p 0 0 .4 r F P s P p .002 w .48762 .57854 m .47178 .5541 L p .48425 .5755 L 0 0 .4 r F P s P p .48917 .58393 m .48762 .57854 L .48425 .5755 L 0 0 .4 r F P p .002 w .48778 .57879 m .48912 .58085 L p .48838 .58038 L 0 .116 .661 r F P s P p .002 w .48912 .58085 m .49217 .58555 L p .48838 .58038 L 0 .116 .661 r F P s P p .49217 .58555 m .48948 .58331 L .48838 .58038 L 0 .116 .661 r F P p .48948 .58331 m .4784 .5741 L .48778 .57879 L 0 .116 .661 r F P p .49304 .58791 m .4784 .5741 L .49217 .58555 L 0 .116 .661 r F P p .002 w .49217 .58555 m .49473 .58951 L p .48988 .57742 L 0 0 .264 r F P s P p .002 w .48341 .56761 m .46499 .51531 L p .48724 .57082 L 0 0 .264 r F P s P p .48988 .57742 m .46499 .51531 L .49217 .58555 L 0 0 .264 r F P p .002 w .48232 .5645 m .48653 .57645 L p .48337 .56926 L 0 0 .4 r F P s P p .002 w .48239 .57047 m .48685 .57735 L p .48525 .57281 L 0 0 .264 r F P s P p .48816 .57519 m .46499 .51531 L .48239 .57047 L 0 0 .264 r F P p .002 w .49473 .58951 m .47178 .5541 L p .49722 .58465 L 0 0 .393 r F P s P p .002 w .49951 .5874 m .49908 .58759 L p .49722 .58465 L 0 0 .393 r F P s P p .002 w .49908 .58759 m .49473 .58951 L p .49722 .58465 L 0 0 .393 r F P s P p .002 w .45363 .38449 m .45345 .38052 L .4536 .38008 L p 0 0 .111 r F P s P p .002 w .45345 .38052 m .45363 .38449 L .45356 .38014 L closepath p 0 0 .105 r F P s P p .002 w .45352 .38021 m .45356 .38014 L .45363 .38449 L p 0 0 .106 r F P s P p .002 w .4536 .38008 m .45356 .38014 L .45363 .38449 L p 0 0 .111 r F P s P p .002 w .45363 .38449 m .45356 .38014 L .45671 .37024 L p 0 0 .112 r F P s P p .002 w .45875 .45747 m .45363 .38449 L p .45671 .37024 L 0 0 .112 r F P s P p .002 w .45875 .45747 m .45584 .37178 L .45352 .38021 L p 0 0 .106 r F P s P p .002 w .45448 .3736 m .45584 .37178 L .45875 .45747 L p 0 0 .109 r F P s P p .002 w .45671 .37024 m .45584 .37178 L .45875 .45747 L p 0 0 .112 r F P s P p .002 w .45875 .45747 m .45584 .37178 L .45842 .36344 L p 0 0 .114 r F P s P p .002 w .45842 .36344 m .45851 .36315 L p .45852 .36479 L 0 0 .114 r F P s P p .45852 .36479 m .45875 .45747 L .45842 .36344 L 0 0 .114 r F P p .002 w .46499 .51531 m .45875 .45747 L p .45854 .37419 L 0 0 .114 r F P s P p .45851 .36315 m .45924 .38023 L .45854 .37419 L 0 0 .114 r F P p .45924 .38023 m .46499 .51531 L .45854 .37419 L 0 0 .114 r F P p .002 w .46499 .51531 m .45631 .36965 L p .45448 .3736 L 0 0 .109 r F P s P p .002 w .45631 .36965 m .45614 .36693 L .45604 .36734 L p 0 0 .109 r F P s P p .002 w .45604 .36734 m .45448 .3736 L p .45631 .36965 L 0 0 .109 r F P s P p .002 w .45363 .38449 m .45875 .45747 L p .45352 .38021 L 0 0 .106 r F P s P p .002 w .45875 .45747 m .46499 .51531 L p .45448 .3736 L 0 0 .109 r F P s P p .002 w .45207 .37131 m .45614 .36693 L .46499 .51531 L p 0 0 .121 r F P s P p .002 w .45851 .36315 m .45614 .36693 L .46499 .51531 L p 0 0 .114 r F P s P p .002 w .46499 .51531 m .45614 .36693 L .45815 .36024 L p 0 0 .119 r F P s P p .002 w .47178 .5541 m .46499 .51531 L p .46387 .48981 L 0 0 .119 r F P s P p .46611 .50014 m .47178 .5541 L .46387 .48981 L 0 0 .119 r F P p .46722 .48922 m .47178 .5541 L .46302 .47075 L 0 0 .119 r F P p .46302 .47075 m .46611 .50014 L .46387 .48981 L 0 0 .119 r F P p .45815 .36024 m .46722 .48922 L .46302 .47075 L 0 0 .119 r F P p .45637 .41121 m .46653 .50541 L .46062 .44407 L 0 0 .121 r F P p .002 w .47178 .5541 m .46713 .50829 L p .46653 .50541 L 0 0 .121 r F P s P p .002 w .46713 .50829 m .46062 .44407 L p .46653 .50541 L 0 0 .121 r F P s P p .002 w .46499 .51531 m .47178 .5541 L p .46386 .48067 L 0 0 .121 r F P s P p .45207 .37131 m .46047 .46493 L .46386 .48067 L 0 0 .121 r F P p .46047 .46493 m .46499 .51531 L .46386 .48067 L 0 0 .121 r F P p .002 w .47061 .54265 m .4707 .54353 L p .47067 .54345 L 0 0 .154 r F P s P p .002 w .4707 .54353 m .47178 .5541 L p .47067 .54345 L 0 0 .154 r F P s P p .47067 .54345 m .47178 .5541 L .47112 .55014 L 0 0 .154 r F P p .47061 .54265 m .47112 .55014 L .44742 .40614 L 0 0 .154 r F P p .002 w .45815 .36024 m .45286 .36757 L .47178 .5541 L p 0 0 .119 r F P s P p .002 w .47178 .5541 m .45286 .36757 L .4539 .36393 L p 0 0 .131 r F P s P p .002 w .4784 .5741 m .47178 .5541 L .48778 .57879 L p 0 .116 .661 r F P s P p .002 w .47178 .5541 m .4784 .5741 L .49462 .58432 L p 0 0 .393 r F P s P p .49266 .57918 m .47178 .5541 L .49462 .58432 L 0 0 .393 r F P p .002 w .4784 .5741 m .47178 .5541 L p .4539 .36393 L 0 0 .131 r F P s P p .002 w .46819 .51876 m .46868 .52353 L p .46562 .50667 L 0 0 .154 r F P s P p .46819 .51876 m .46562 .50667 L .44742 .40614 L 0 0 .154 r F P p .45207 .37131 m .45637 .41121 L .45553 .39388 L 0 0 .121 r F P p .002 w .46062 .44407 m .45553 .39388 L p .45637 .41121 L 0 0 .121 r F P s P p .002 w .45553 .39388 m .45286 .36757 L .45227 .37037 L p 0 0 .121 r F P s P p .002 w .45227 .37037 m .45207 .37131 L p .45553 .39388 L 0 0 .121 r F P s P p .002 w .45286 .36757 m .46819 .51876 L p .44742 .40614 L 0 0 .154 r F P s P p .002 w .46868 .52353 m .47061 .54265 L p .46972 .5374 L 0 0 .154 r F P s P p .46868 .52353 m .46972 .5374 L .44742 .40614 L 0 0 .154 r F P p .002 w .47178 .5541 m .4784 .5741 L .46482 .50046 L p 0 0 .154 r F P s P p .002 w .46482 .50046 m .44742 .40614 L p .46003 .48279 L 0 0 .154 r F P s P p .47178 .5541 m .46482 .50046 L .46003 .48279 L 0 0 .154 r F P p .002 w .47342 .54708 m .47422 .55144 L p .46961 .54107 L 0 0 .256 r F P s P p .002 w .47422 .55144 m .47513 .55634 L p .46961 .54107 L 0 0 .256 r F P s P p .47513 .55634 m .46304 .53069 L .46961 .54107 L 0 0 .256 r F P p .002 w .47513 .55634 m .4784 .5741 L p .47686 .56973 L 0 0 .256 r F P s P p .47686 .56973 m .46304 .53069 L .47513 .55634 L 0 0 .256 r F P p .002 w .49217 .58555 m .49473 .58951 L p .49304 .58791 L 0 .116 .661 r F P s P p .002 w .49473 .58951 m .49951 .5874 L .48896 .58075 L p 0 .116 .661 r F P s P p .002 w .48896 .58075 m .4784 .5741 L p .48708 .58229 L 0 .116 .661 r F P s P p .49473 .58951 m .48896 .58075 L .48708 .58229 L 0 .116 .661 r F P p .002 w .48423 .57938 m .4784 .5741 L .48896 .58075 L p .195 .54 .927 r F P s P p .002 w .48896 .58075 m .49262 .58306 L p .48423 .57938 L .195 .54 .927 r F P s P p .002 w .49462 .58432 m .49951 .5874 L p .49266 .57918 L 0 0 .393 r F P s P p .002 w .50339 .58093 m .49951 .5874 L .4784 .5741 L p 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L p .953 .647 .418 r F P s P p .002 w .63179 .45383 m .63205 .46062 L .62284 .47786 L p .953 .647 .418 r F P s P p .002 w .63205 .46062 m .63179 .45383 L .62269 .47076 L p .955 .65 .414 r F P s P p .002 w .64353 .50744 m .64425 .52659 L .65315 .5053 L p .94 .63 .423 r F P s P p .002 w .64494 .54766 m .64425 .52659 L .65315 .5053 L p .924 .618 .445 r F P s P p .002 w .65315 .5053 m .65422 .52591 L .64494 .54766 L p .924 .618 .445 r F P s P p .002 w .65422 .52591 m .65315 .5053 L .64425 .52659 L p .936 .629 .434 r F P s P p .002 w .62269 .47076 m .62284 .47786 L .63205 .46062 L p .955 .65 .414 r F P s P p .002 w .62302 .48728 m .62284 .47786 L .63205 .46062 L p .95 .646 .424 r F P s P p .002 w .63205 .46062 m .63238 .46966 L .62302 .48728 L p .95 .646 .424 r F P s P p .002 w .63238 .46966 m .63205 .46062 L .62284 .47786 L p .954 .651 .419 r F P s P p .002 w .63318 .49437 m .63361 .50995 L .64281 .49029 L p .947 .64 .422 r F P s P p .002 w .63402 .52757 m .63361 .50995 L .64281 .49029 L p .935 .631 .442 r F P s P p .002 w .64281 .49029 m .64353 .50744 L .63402 .52757 L p .935 .631 .442 r F P s P p .002 w .64353 .50744 m .64281 .49029 L .63361 .50995 L p .944 .64 .432 r F P s P p .002 w .62284 .47786 m .62302 .48728 L .63238 .46966 L p .954 .651 .419 r F P s P p .002 w .62321 .49897 m .62302 .48728 L .63238 .46966 L p .948 .645 .432 r F P s P p .002 w .63238 .46966 m .63276 .48093 L .62321 .49897 L p .948 .645 .432 r F P s P p .002 w .63276 .48093 m .63238 .46966 L .62302 .48728 L p .953 .651 .425 r F P s P p .002 w .64425 .52659 m .64494 .54766 L .65422 .52591 L p .936 .629 .434 r F P s P p .002 w .64556 .5705 m .64494 .54766 L .65422 .52591 L p .915 .614 .459 r F P s P p .002 w .65422 .52591 m .65528 .54843 L .64556 .5705 L p .915 .614 .459 r F P s P p .002 w .65528 .54843 m .65422 .52591 L .64494 .54766 L p .93 .627 .447 r F P s P p .002 w .62302 .48728 m .62321 .49897 L .63276 .48093 L p .953 .651 .425 r F P s P p .002 w .62338 .51287 m .62321 .49897 L .63276 .48093 L p .944 .644 .441 r F P s P p .002 w .63276 .48093 m .63318 .49437 L .62338 .51287 L p .944 .644 .441 r F P s P p .002 w .63318 .49437 m .63276 .48093 L .62321 .49897 L p .951 .651 .433 r F P s P p .002 w .63361 .50995 m .63402 .52757 L .64353 .50744 L p .944 .64 .432 r F P s P p .002 w .63438 .54712 m .63402 .52757 L .64353 .50744 L p .928 .628 .454 r F P s P p .002 w .64353 .50744 m .64425 .52659 L .63438 .54712 L p .928 .628 .454 r F P s P p .002 w .64425 .52659 m .64353 .50744 L .63402 .52757 L p .939 .639 .444 r F P s P p .002 w .61279 .48201 m .61278 .47952 L .62252 .46363 L p .957 .66 .429 r F P s P p .002 w .62252 .46363 m .62258 .46601 L .61279 .48201 L p .957 .66 .429 r F P s P p .002 w .62258 .46601 m .62252 .46363 L .61278 .47952 L p .958 .661 .427 r F P s P p .002 w .61282 .48697 m .61279 .48201 L .62258 .46601 L p .956 .659 .432 r F P s P p .002 w .62258 .46601 m .62269 .47076 L .61282 .48697 L p .956 .659 .432 r F P s P p .002 w .61278 .47952 m .61279 .48201 L .62258 .46601 L p .958 .661 .427 r F P s P p .002 w .62269 .47076 m .62258 .46601 L .61279 .48201 L p .958 .662 .429 r F P s P p .002 w .62321 .49897 m .62338 .51287 L .63318 .49437 L p .951 .651 .433 r F P s P p .002 w .62351 .52887 m .62338 .51287 L .63318 .49437 L p .938 .642 .452 r F P s P p .002 w .63318 .49437 m .63361 .50995 L .62351 .52887 L p .938 .642 .452 r F P s P p .002 w .63361 .50995 m .63318 .49437 L .62338 .51287 L p .947 .651 .443 r F P s P p .002 w .61279 .48201 m .61282 .48697 L .62269 .47076 L p .958 .662 .429 r F P s P p .002 w .61284 .49437 m .61282 .48697 L .62269 .47076 L p .954 .659 .437 r F P s P p .002 w .62269 .47076 m .62284 .47786 L .61284 .49437 L p .954 .659 .437 r F P s P p .002 w .62284 .47786 m .62269 .47076 L .61282 .48697 L p .957 .662 .433 r F P s P p .002 w .64494 .54766 m .64556 .5705 L .65528 .54843 L p .93 .627 .447 r F P s P p .002 w .64606 .59495 m .64556 .5705 L .65528 .54843 L p .904 .608 .474 r F P s P p .002 w .65528 .54843 m .65629 .57276 L .64606 .59495 L p .904 .608 .474 r F P s P p .002 w .65629 .57276 m .65528 .54843 L .64556 .5705 L p .923 .625 .461 r F P s P p .002 w .63402 .52757 m .63438 .54712 L .64425 .52659 L p .939 .639 .444 r F P s P p .002 w .63463 .56845 m .63438 .54712 L .64425 .52659 L p .919 .624 .469 r F P s P p .002 w .64425 .52659 m .64494 .54766 L .63463 .56845 L p .919 .624 .469 r F P s P p .002 w .64494 .54766 m .64425 .52659 L .63438 .54712 L p .934 .638 .457 r F P s P p .002 w .61282 .48697 m .61284 .49437 L .62284 .47786 L p .957 .662 .433 r F P s P p .002 w .61284 .50415 m .61284 .49437 L .62284 .47786 L p .951 .658 .444 r F P s P p .002 w .62284 .47786 m .62302 .48728 L .61284 .50415 L p .951 .658 .444 r F P s P p .002 w .62302 .48728 m .62284 .47786 L .61284 .49437 L p .956 .663 .439 r F P s P p .002 w .62338 .51287 m .62351 .52887 L .63361 .50995 L p .947 .651 .443 r F P s P p .002 w .62356 .54684 m .62351 .52887 L .63361 .50995 L p .931 .639 .466 r F P s P p .002 w .63361 .50995 m .63402 .52757 L .62356 .54684 L p .931 .639 .466 r F P s P p .002 w .63402 .52757 m .63361 .50995 L .62351 .52887 L p .943 .651 .455 r F P s P p .002 w .61284 .49437 m .61284 .50415 L .62302 .48728 L p .956 .663 .439 r F P s P p .002 w .6128 .51624 m .61284 .50415 L .62302 .48728 L p .948 .656 .453 r F P s P p .002 w .62302 .48728 m .62321 .49897 L .6128 .51624 L p .948 .656 .453 r F P s P p .002 w .62321 .49897 m .62302 .48728 L .61284 .50415 L p .954 .663 .446 r F P s P p .002 w .63438 .54712 m .63463 .56845 L .64494 .54766 L p .934 .638 .457 r F P s P p .002 w .63474 .59134 m .63463 .56845 L .64494 .54766 L p .907 .618 .485 r F P s P p .002 w .64494 .54766 m .64556 .5705 L .63474 .59134 L p .907 .618 .485 r F P s P p .002 w .64556 .5705 m .64494 .54766 L .63463 .56845 L p .926 .636 .473 r F P s P p .002 w .64556 .5705 m .64606 .59495 L .65629 .57276 L p .923 .625 .461 r F P s P p .002 w .64638 .62075 m .64606 .59495 L .65629 .57276 L p .89 .601 .491 r F P s P p .002 w .65629 .57276 m .65721 .59874 L .64638 .62075 L p .89 .601 .491 r F P s P p .002 w .65721 .59874 m .65629 .57276 L .64606 .59495 L p .913 .622 .478 r F P s P p .002 w .61284 .50415 m .6128 .51624 L .62321 .49897 L p .954 .663 .446 r F P s P p .002 w .61269 .53052 m .6128 .51624 L .62321 .49897 L p .942 .654 .465 r F P s P p .002 w .62321 .49897 m .62338 .51287 L .61269 .53052 L p .942 .654 .465 r F P s P p .002 w .62338 .51287 m .62321 .49897 L .6128 .51624 L p .951 .663 .456 r F P s P p .002 w .62351 .52887 m .62356 .54684 L .63402 .52757 L p .943 .651 .455 r F P s P p .002 w .62349 .5666 m .62356 .54684 L .63402 .52757 L p .922 .635 .481 r F P s P p .002 w .63402 .52757 m .63438 .54712 L .62349 .5666 L p .922 .635 .481 r F P s P p .002 w .63438 .54712 m .63402 .52757 L .62356 .54684 L p .937 .65 .469 r F P s P p .002 w .60224 .49714 m .60228 .49454 L .61278 .47952 L p .959 .673 .449 r F P s P p .002 w .61278 .47952 m .61279 .48201 L .60224 .49714 L p .959 .673 .449 r F P s P p .002 w .61279 .48201 m .61278 .47952 L .60228 .49454 L p .961 .675 .447 r F P s P p .002 w .55787 .66389 m .55305 .67005 L .53277 .64742 L p 0 .041 .584 r F P s P p .002 w .53842 .65083 m .53277 .64742 L .55305 .67005 L p .014 .209 .719 r F P s P p .002 w .54765 .67109 m .55305 .67005 L .53277 .64742 L p 0 .015 .589 r F P s P p .002 w .60228 .49454 m .60224 .49714 L .61279 .48201 L p .961 .675 .447 r F P s P p .002 w .60217 .50232 m .60224 .49714 L .61279 .48201 L p .958 .673 .453 r F P s P p .002 w .61279 .48201 m .61282 .48697 L .60217 .50232 L p .958 .673 .453 r F P s P p .002 w .61282 .48697 m .61279 .48201 L .60224 .49714 L p .96 .675 .45 r F P s P p .002 w .6128 .51624 m .61269 .53052 L .62338 .51287 L p .951 .663 .456 r F P s P p .002 w .61247 .54684 m .61269 .53052 L .62338 .51287 L p .935 .652 .478 r F P s P p .002 w .62338 .51287 m .62351 .52887 L .61247 .54684 L p .935 .652 .478 r F P s P p .002 w .62351 .52887 m .62338 .51287 L .61269 .53052 L p .947 .663 .468 r F P s P p .002 w .60204 .51001 m .60217 .50232 L .61282 .48697 L p .955 .672 .459 r F P s P p .002 w .61282 .48697 m .61284 .49437 L .60204 .51001 L p .955 .672 .459 r F P s P p .002 w .60224 .49714 m .60217 .50232 L .61282 .48697 L p .96 .675 .45 r F P s P p .002 w .61284 .49437 m .61282 .48697 L .60217 .50232 L p .959 .676 .455 r F P s P p .002 w .63463 .56845 m .63474 .59134 L .64556 .5705 L p .926 .636 .473 r F P s P p .002 w .63465 .61551 m .63474 .59134 L .64556 .5705 L p .892 .61 .503 r F P s P p .002 w .64556 .5705 m .64606 .59495 L .63465 .61551 L p .892 .61 .503 r F P s P p .002 w .64606 .59495 m .64556 .5705 L .63474 .59134 L p .916 .632 .49 r F P s P p .002 w .62356 .54684 m .62349 .5666 L .63438 .54712 L p .937 .65 .469 r F P s P p .002 w .62324 .58791 m .62349 .5666 L .63438 .54712 L p .91 .629 .498 r F P s P p .002 w .63438 .54712 m .63463 .56845 L .62324 .58791 L p .91 .629 .498 r F P s P p .002 w .63463 .56845 m .63438 .54712 L .62349 .5666 L p .93 .648 .485 r F P s P p .002 w .64606 .59495 m .64638 .62075 L .65721 .59874 L p .913 .622 .478 r F P s P p .002 w .64646 .64759 m .64638 .62075 L .65721 .59874 L p .872 .591 .51 r F P s P p .002 w .65721 .59874 m .65797 .62616 L .64646 .64759 L p .872 .591 .51 r F P s P p .002 w .65797 .62616 m .65721 .59874 L .64638 .62075 L p .901 .616 .496 r F P s P p .002 w .60217 .50232 m .60204 .51001 L .61284 .49437 L p .959 .676 .455 r F P s P p .002 w .60183 .52014 m .60204 .51001 L .61284 .49437 L p .952 .67 .468 r F P s P p .002 w .61284 .49437 m .61284 .50415 L .60183 .52014 L p .952 .67 .468 r F P s P p .002 w .61284 .50415 m .61284 .49437 L .60204 .51001 L p .958 .677 .462 r F P s P p .002 w .61269 .53052 m .61247 .54684 L .62351 .52887 L p .947 .663 .468 r F P s P p .002 w .6121 .56498 m .61247 .54684 L .62351 .52887 L p .926 .648 .494 r F P s P p .002 w .62351 .52887 m .62356 .54684 L .6121 .56498 L p .926 .648 .494 r F P s P p .002 w .62356 .54684 m .62351 .52887 L .61247 .54684 L p .941 .663 .483 r F P s P p .002 w .60204 .51001 m .60183 .52014 L .61284 .50415 L p .958 .677 .462 r F P s P p .002 w .60153 .53257 m .60183 .52014 L .61284 .50415 L p .947 .669 .479 r F P s P p .002 w .61284 .50415 m .6128 .51624 L .60153 .53257 L p .947 .669 .479 r F P s P p .002 w .6128 .51624 m .61284 .50415 L .60183 .52014 L p .955 .677 .471 r F P s P p .002 w .62349 .5666 m .62324 .58791 L .63463 .56845 L p .93 .648 .485 r F P s P p .002 w .62275 .61046 m .62324 .58791 L .63463 .56845 L p .894 .621 .517 r F P s P p .002 w .63463 .56845 m .63474 .59134 L .62275 .61046 L p .894 .621 .517 r F P s P p .002 w .63474 .59134 m .63463 .56845 L .62324 .58791 L p .919 .645 .504 r F P s P p .002 w .63474 .59134 m .63465 .61551 L .64606 .59495 L p .916 .632 .49 r F P s P p .002 w .63428 .64063 m .63465 .61551 L .64606 .59495 L p .872 .6 .523 r F P s P p .002 w .64606 .59495 m .64638 .62075 L .63428 .64063 L p .872 .6 .523 r F P s P p .002 w .64638 .62075 m .64606 .59495 L .63465 .61551 L p .903 .627 .51 r F P s P p .002 w .54765 .67109 m .55305 .67005 L .57209 .67911 L p .065 .141 .634 r F P s P p .002 w .57209 .67911 m .5676 .68864 L .54765 .67109 L p .065 .141 .634 r F P s P p .002 w .55305 .67005 m .54765 .67109 L .5676 .68864 L p .202 .312 .754 r F P s P p .002 w .53842 .65083 m .54355 .64841 L .52365 .63038 L p 0 .08 .64 r F P s P p .002 w .60183 .52014 m .60153 .53257 L .6128 .51624 L p .955 .677 .471 r F P s P p .002 w .60108 .54713 m .60153 .53257 L .6128 .51624 L p .94 .666 .493 r F P s P p .002 w .6128 .51624 m .61269 .53052 L .60108 .54713 L p .94 .666 .493 r F P s P p .002 w .61269 .53052 m .6128 .51624 L .60153 .53257 L p .951 .678 .483 r F P s P p .002 w .61247 .54684 m .6121 .56498 L .62356 .54684 L p .941 .663 .483 r F P s P p .002 w .61153 .58468 m .6121 .56498 L .62356 .54684 L p .913 .642 .513 r F P s P p .002 w .62356 .54684 m .62349 .5666 L .61153 .58468 L p .913 .642 .513 r F P s P p .002 w .62349 .5666 m .62356 .54684 L .6121 .56498 L p .934 .661 .5 r F P s P p .002 w .64638 .62075 m .64646 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m .60045 .56359 L .61247 .54684 L p .945 .678 .498 r F P s P p .002 w .5996 .58164 m .60045 .56359 L .61247 .54684 L p .916 .656 .529 r F P s P p .002 w .61247 .54684 m .6121 .56498 L .5996 .58164 L p .916 .656 .529 r F P s P p .002 w .6121 .56498 m .61247 .54684 L .60045 .56359 L p .937 .677 .516 r F P s P p .002 w .59043 .52462 m .58999 .53506 L .60183 .52014 L p .959 .693 .489 r F P s P p .002 w .58937 .54775 m .58999 .53506 L .60183 .52014 L p .944 .683 .51 r F P s P p .002 w .60183 .52014 m .60153 .53257 L .58937 .54775 L p .944 .683 .51 r F P s P p .002 w .60153 .53257 m .60183 .52014 L .58999 .53506 L p .955 .694 .501 r F P s P p .002 w .52907 .63235 m .53393 .62866 L .51433 .61505 L p 0 .162 .701 r F P s P p .002 w .61153 .58468 m .6107 .60558 L .62324 .58791 L p .923 .658 .52 r F P s P p .002 w .60954 .62724 m .6107 .60558 L .62324 .58791 L p .871 .62 .557 r F P s P p .002 w .62324 .58791 m .62275 .61046 L .60954 .62724 L p .871 .62 .557 r F P s P p .002 w .62275 .61046 m 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.54713 L .58853 .56245 L p .941 .694 .536 r F P s P p .002 w .62198 .63384 m .62084 .6576 L .63428 .64063 L p .886 .632 .549 r F P s P p .002 w .61927 .68114 m .62084 .6576 L .63428 .64063 L p .804 .571 .586 r F P s P p .002 w .63428 .64063 m .63358 .66624 L .61927 .68114 L p .804 .571 .586 r F P s P p .002 w .63358 .66624 m .63428 .64063 L .62084 .6576 L p .859 .62 .575 r F P s P p .002 w .57903 .52138 m .57887 .52421 L .59093 .51126 L p .965 .709 .499 r F P s P p .002 w .57854 .52981 m .57887 .52421 L .59093 .51126 L p .96 .706 .507 r F P s P p .002 w .59093 .51126 m .59074 .51665 L .57854 .52981 L p .96 .706 .507 r F P s P p .002 w .59074 .51665 m .59093 .51126 L .57887 .52421 L p .964 .71 .503 r F P s P p .002 w .5996 .58164 m .59845 .60088 L .61153 .58468 L p .926 .674 .538 r F P s P p .002 w .59696 .62082 m .59845 .60088 L .61153 .58468 L p .87 .633 .577 r F P s P p .002 w .61153 .58468 m .6107 .60558 L .59696 .62082 L p .87 .633 .577 r F P s P p .002 w .6107 .60558 m .61153 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L .60045 .56359 L p .941 .694 .536 r F P s P p .002 w .58601 .59636 m .58743 .5788 L .60045 .56359 L p .898 .663 .574 r F P s P p .002 w .60045 .56359 m .5996 .58164 L .58601 .59636 L p .898 .663 .574 r F P s P p .002 w .5996 .58164 m .60045 .56359 L .58743 .5788 L p .929 .692 .559 r F P s P p .002 w .57854 .52981 m .57803 .53805 L .59043 .52462 L p .962 .712 .51 r F P s P p .002 w .57729 .54874 m .57803 .53805 L .59043 .52462 L p .948 .702 .531 r F P s P p .002 w .59043 .52462 m .58999 .53506 L .57729 .54874 L p .948 .702 .531 r F P s P p .002 w .58999 .53506 m .59043 .52462 L .57803 .53805 L p .959 .713 .522 r F P s P p .002 w .54355 .64841 m .54809 .64121 L .56571 .64025 L p .344 .357 .73 r F P s P p .002 w .56571 .64025 m .56209 .6536 L .54355 .64841 L p .344 .357 .73 r F P s P p .002 w .54809 .64121 m .54355 .64841 L .56209 .6536 L p .537 .557 .822 r F P s P p .002 w .55787 .66389 m .56209 .6536 L .54355 .64841 L p .295 .404 .804 r F P s P p .002 w .60954 .62724 m .60801 .64915 L 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.42643 L .28284 .40428 L p .834 .371 .101 r F P s P p .002 w .52804 .60212 m .53132 .59141 L .54735 .58391 L p .716 .661 .794 r F P s P p .002 w .54735 .58391 m .54487 .59693 L .52804 .60212 L p .716 .661 .794 r F P s P p .002 w .52804 .60212 m .53132 .59141 L .51398 .59478 L p .632 .734 .922 r F P s P p .002 w .53132 .59141 m .52804 .60212 L .54487 .59693 L p .839 .782 .796 r F P s P p .002 w .54487 .59693 m .54735 .58391 L .53132 .59141 L p .839 .782 .796 r F P s P p .002 w .26508 .40208 m .26793 .39335 L .27913 .41687 L p .831 .369 .11 r F P s P p .002 w .27913 .41687 m .27643 .42601 L .26508 .40208 L p .831 .369 .11 r F P s P p .002 w .26793 .39335 m .26508 .40208 L .27643 .42601 L p .836 .376 .112 r F P s P p .002 w .27643 .42601 m .27913 .41687 L .26793 .39335 L p .836 .376 .112 r F P s P p .002 w .49637 .12704 m .49643 .12688 L .49635 .13323 L p 0 0 .063 r F P s P p .002 w .49652 .12669 m .49643 .12688 L .49635 .13323 L p 0 0 .075 r F P s P p .002 w .49668 .12586 m .49635 .13323 L .49643 .12688 L closepath p 0 0 .037 r F P s P p .002 w .49635 .13323 m .49668 .12586 L .49637 .12704 L p 0 0 .063 r F P s P p .002 w .4881 .13192 m .49668 .12586 L p .47076 .33212 L .077 0 .271 r F P s P p .47076 .33212 m .45937 .42278 L .46629 .3527 L .077 0 .271 r F P p .47076 .33212 m .46629 .3527 L .4881 .13192 L .077 0 .271 r F P p .002 w .45937 .42278 m .46841 .33409 L p .4881 .13192 L .077 0 .271 r F P s P p .002 w .43524 .48551 m .46841 .33409 L p .42953 .52196 L .79 .551 .575 r F P s P p .002 w .429 .52453 m .42907 .52407 L p .42953 .52196 L .79 .551 .575 r F P s P p .002 w .42907 .52407 m .43524 .48551 L p .42953 .52196 L .79 .551 .575 r F P s P p .002 w .46841 .33409 m .48887 .12534 L .4881 .13192 L p .077 0 .271 r F P s P p .002 w .29563 .42272 m .29611 .42087 L .3086 .44184 L p .827 .357 .084 r F P s P p .002 w .3086 .44184 m .30816 .44376 L .29563 .42272 L p .827 .357 .084 r F P s P p .002 w .29611 .42087 m .29563 .42272 L .30816 .44376 L p .828 .359 .084 r F P s P p .002 w .30816 .44376 m .3086 .44184 L .29611 .42087 L p .828 .359 .084 r F P s P p .002 w .54932 .57156 m .54735 .58391 L .53132 .59141 L p .828 .726 .753 r F P s P p .002 w .53132 .59141 m .53396 .58014 L .54932 .57156 L p .828 .726 .753 r F P s P p .002 w .53396 .58014 m .53132 .59141 L .54735 .58391 L p .9 .797 .737 r F P s P p .002 w .54735 .58391 m .54932 .57156 L .53396 .58014 L p .9 .797 .737 r F P s P p .002 w .53843 .5546 m .5389 .55136 L .55293 .54294 L p .956 .785 .629 r F P s P p .002 w .55293 .54294 m .55259 .54602 L .53843 .5546 L p .956 .785 .629 r F P s P p .002 w .55259 .54602 m .55293 .54294 L .5389 .55136 L p .962 .79 .624 r F P s P p .002 w .53747 .56085 m .53843 .5546 L .55259 .54602 L p .946 .781 .646 r F P s P p .002 w .55259 .54602 m .55189 .55205 L .53747 .56085 L p .946 .781 .646 r F P s P p .002 w .5389 .55136 m .53843 .5546 L .55259 .54602 L p .962 .79 .624 r F P s P p .002 w .55189 .55205 m .55259 .54602 L .53843 .5546 L p .958 .794 .636 r F P s P p .002 w 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.064 r F P s P p .002 w .29119 .43956 m .28868 .44905 L .30182 .47099 L p .815 .339 .067 r F P s P p .002 w .30182 .47099 m .3041 .46122 L .29119 .43956 L p .815 .339 .067 r F P s P p .002 w .45142 .34897 m .48523 .10561 L .48513 .10505 L p .946 .596 .314 r F P s P p .002 w .48523 .10561 m .45142 .34897 L p .47766 .22317 L .97 .658 .356 r F P s P p .002 w .46062 .25243 m .45142 .34897 L p .48513 .10505 L .946 .596 .314 r F P s P p .002 w .48513 .10505 m .47831 .10036 L .46062 .25243 L p .946 .596 .314 r F P s P p .002 w .3041 .46122 m .30592 .45344 L .31943 .47365 L p .8 .314 .044 r F P s P p .002 w .31943 .47365 m .31783 .48162 L .3041 .46122 L p .8 .314 .044 r F P s P p .002 w .30592 .45344 m .3041 .46122 L .31783 .48162 L p .807 .324 .046 r F P s P p .002 w .31783 .48162 m .31943 .47365 L .30592 .45344 L p .807 .324 .046 r F P s P p .002 w .50915 .56289 m .5082 .5666 L .49196 .56999 L p .804 .878 .901 r F P s P p .002 w .49196 .56999 m .49353 .5658 L .50915 .56289 L p .804 .878 .901 r F P s P p .002 w .49353 .5658 m .49196 .56999 L .5082 .5666 L p .846 .919 .881 r F P s P p .002 w .5082 .5666 m .50915 .56289 L .49353 .5658 L p .846 .919 .881 r F P s P p .002 w .31943 .47365 m .32062 .46767 L .33469 .48636 L p .79 .296 .02 r F P s P p .002 w .33469 .48636 m .33368 .49246 L .31943 .47365 L p .79 .296 .02 r F P s P p .002 w .32062 .46767 m .31943 .47365 L .33368 .49246 L p .796 .305 .021 r F P s P p .002 w .33368 .49246 m .33469 .48636 L .32062 .46767 L p .796 .305 .021 r F P s P p .002 w .33537 .48228 m .33571 .48024 L .35021 .49732 L p .782 .282 0 r F P s P p .002 w .35021 .49732 m .34995 .4994 L .33537 .48228 L p .782 .282 0 r F P s P p .002 w .33571 .48024 m .33537 .48228 L .34995 .4994 L p .784 .285 0 r F P s P p .002 w .34995 .4994 m .35021 .49732 L .33571 .48024 L p .784 .285 0 r F P s P p .002 w .46972 .14343 m .47494 .09069 L .47495 .10124 L p .399 .063 .277 r F P s P p .002 w .46062 .25243 m .46972 .14343 L p .47495 .10124 L .399 .063 .277 r F P s P p .002 w .47495 .10124 m .47831 .10036 L .46062 .25243 L p .399 .063 .277 r F P s P p .002 w .46062 .25243 m .47831 .10036 L .47682 .09174 L p .911 .526 .274 r F P s P p .002 w .49196 .56999 m .49353 .5658 L .47728 .56701 L p .653 .909 .98 r F P s P p .002 w .33469 .48636 m .33537 .48228 L .34995 .4994 L p .776 .273 0 r F P s P p .002 w .34995 .4994 m .34941 .50354 L .33469 .48636 L p .776 .273 0 r F P s P p .002 w .33537 .48228 m .33469 .48636 L .34941 .50354 L p .781 .28 0 r F P s P p .002 w .34941 .50354 m .34995 .4994 L .33537 .48228 L p .781 .28 0 r F P s P p .002 w .34995 .4994 m .35021 .49732 L .36526 .51278 L p .757 .242 0 r F P s P p .002 w .36526 .51278 m .36508 .51488 L .34995 .4994 L p .757 .242 0 r F P s P p .002 w .35021 .49732 m .34995 .4994 L .36508 .51488 L p .76 .247 0 r F P s P p .002 w .36508 .51488 m .36526 .51278 L .35021 .49732 L p .76 .247 0 r F P s P p .002 w .31783 .48162 m .31943 .47365 L .33368 .49246 L p .781 .282 .01 r F P s P p .002 w .33368 .49246 m .33234 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L p .798 .314 .055 r F P s P p .002 w .28868 .44905 m .2856 .46056 L .29903 .48278 L p .808 .327 .058 r F P s P p .002 w .29903 .48278 m .30182 .47099 L .28868 .44905 L p .808 .327 .058 r F P s P p .002 w .46972 .14343 m .46062 .25243 L p .47682 .09174 L .911 .526 .274 r F P s P p .002 w .47682 .09174 m .47494 .09069 L .46972 .14343 L p .911 .526 .274 r F P s P p .002 w .34941 .50354 m .34995 .4994 L .36508 .51488 L p .749 .23 0 r F P s P p .002 w .36508 .51488 m .36472 .51901 L .34941 .50354 L p .749 .23 0 r F P s P p .002 w .34995 .4994 m .34941 .50354 L .36472 .51901 L p .755 .24 0 r F P s P p .002 w .36472 .51901 m .36508 .51488 L .34995 .4994 L p .755 .24 0 r F P s P p .002 w .26916 .45031 m .27312 .43712 L .2856 .46056 L p .805 .325 .072 r F P s P p .002 w .2856 .46056 m .28194 .47414 L .26916 .45031 L p .805 .325 .072 r F P s P p .002 w .27312 .43712 m .26916 .45031 L .28194 .47414 L p .815 .339 .076 r F P s P p .002 w .28194 .47414 m .2856 .46056 L .27312 .43712 L p .815 .339 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m .36595 .56441 L .33644 .6067 L p .793 .939 .582 r F P s P p .002 w .25809 .64188 m .26488 .61788 L .28617 .62704 L p .225 0 0 r F P s P p .002 w .28617 .62704 m .28161 .64438 L .25809 .64188 L p .225 0 0 r F P s P p .002 w .26488 .61788 m .25809 .64188 L .28161 .64438 L p .396 0 0 r F P s P p .002 w .28161 .64438 m .28617 .62704 L .26488 .61788 L p .396 0 0 r F P s P p .002 w .28161 .64438 m .28617 .62704 L .30993 .62498 L p 0 0 0 r F P s P p .002 w .30993 .62498 m .30805 .63198 L .28161 .64438 L p 0 0 0 r F P s P p .002 w .28617 .62704 m .28161 .64438 L .30805 .63198 L p .032 0 0 r F P s P p .002 w .30805 .63198 m .30993 .62498 L .28617 .62704 L p .032 0 0 r F P s P p .002 w .37047 .53452 m .36595 .56441 L .33644 .6067 L p .917 .974 .694 r F P s P p .002 w .33644 .6067 m .33764 .59841 L .37047 .53452 L p .917 .974 .694 r F P s P p .002 w .33764 .59841 m .33644 .6067 L .36595 .56441 L p .891 .915 .516 r F P s P p .002 w .36595 .56441 m .37047 .53452 L .33764 .59841 L p .891 .915 .516 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[(-3)] .23212 .07626 1 .25194 Mshowa p .002 w .21268 .14864 m .21884 .15002 L s P [(-2)] .20036 .14588 1 .22428 Mshowa p .002 w .17063 .2406 m .17684 .24177 L s P [(-1)] .15823 .23826 1 .18853 Mshowa p .002 w .11215 .36852 m .1184 .36939 L s P [(0)] .09965 .36676 1 .14053 Mshowa p .002 w .02525 .5586 m .03154 .55905 L s P [(1)] .01266 .55768 1 .07268 Mshowa p .001 w .26459 .0351 m .26825 .03608 L s P p .001 w .25988 .0454 m .26354 .04637 L s P p .001 w .25495 .05618 m .25862 .05714 L s P p .001 w .24978 .06748 m .25345 .06842 L s P p .001 w .23867 .0918 m .24234 .09271 L s P p .001 w .23267 .1049 m .23636 .10579 L s P p .001 w .22636 .11871 m .23005 .11958 L s P p .001 w .21971 .13326 m .2234 .13411 L s P p .001 w .20524 .1649 m .20894 .16571 L s P p .001 w .19736 .18214 m .20107 .18292 L s P p .001 w .189 .20043 m .19271 .20119 L s P p .001 w .18011 .21988 m .18383 .22061 L s P p .001 w .16052 .26272 m .16425 .26339 L s P p .001 w .1497 .2864 m .15343 .28703 L s P p .001 w .13809 .31178 m .14183 .31239 L s P p .001 w .12561 .33908 m .12935 .33965 L s P p .001 w .0976 .40034 m .10136 .40083 L s P p .001 w .08181 .43487 m .08558 .43531 L s P p .001 w .06463 .47246 m .0684 .47285 L s P p .001 w .04585 .51353 m .04962 .51387 L s P P p P % End of Graphics MathPictureEnd :[font = output; output; inactive; preserveAspect; endGroup; endGroup] No Input Form was saved for this expression. ;[o] -Graphics3D- :[font = subsection; inactive; Cclosed; preserveAspect; startGroup] Problem 12(c) :[font = text; inactive; preserveAspect] There is no solution surface for this equation. However, there is a parametric form for the solution surface. :[font = input; preserveAspect; startGroup] Clear[x,y,u,s,t,xi,eta,c1,c2,r] xi = y/x; eta = u/x^2; {y,u}={y,u}/. Solve[{xi==c1,eta==c2},{y,u}][[1]]; {c1,c2}={c1,c2}/. Solve[{x,y,u}=={s,s,s},{c1,c2},x][[1]]; r[s,t]={x,y,u}/.x->t :[font = output; output; inactive; preserveAspect; endGroup] {t, t, t^2/s} ;[o] 2 t {t, t, --} s :[font = input; preserveAspect; startGroup] ParametricPlot3D[{t,t,t^2/s},{s,-1,1},{t,-1,1}, BoxRatios->{1,1,1}] :[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 100; pictureWidth = 276; pictureHeight = 300] %! %%Creator: Mathematica %%AspectRatio: 1.08079 MathPictureStart %% Graphics3D /Courier findfont 10 scalefont setfont % Scaling calculations -0.0260524 1.10184 0.0275459 1.10184 [ [(-1)] .11326 .24476 .97192 1 Msboxa [(-0.5)] .23453 .19353 .88455 1 Msboxa [(0)] .36251 .13949 .79718 1 Msboxa [(0.5)] .49778 .08241 .70982 1 Msboxa [(1)] .64097 .02204 .62245 1 Msboxa [(-1)] .03657 .80845 .15454 -1 Msboxa [(-0.5)] .14168 .88214 .11851 -1 Msboxa [(0)] .23595 .94823 .08756 -1 Msboxa [(0.5)] .32098 1.00784 .0607 -1 Msboxa [(1)] .39807 1.06188 .03715 -1 Msboxa [(-2)] .08105 .37374 1 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L p .762 .501 .538 r F P s P p .002 w .416 .55341 m .41604 .55251 L .45979 .56458 L p .762 .501 .538 r F P s P p .002 w .45978 .5649 m .45978 .56515 L .41598 .5541 L p .762 .501 .538 r F P s P p .002 w .41598 .5541 m .416 .55341 L .45978 .5649 L p .762 .501 .538 r F P s P p .002 w .45978 .56515 m .45977 .56535 L .41596 .55465 L p .762 .501 .538 r F P s P p .002 w .41596 .55465 m .41598 .5541 L .45978 .56515 L p .762 .501 .538 r F P s P p .002 w .41626 .54671 m .41615 .5495 L .37242 .53231 L p .762 .501 .538 r F P s P p .002 w .37242 .53231 m .3727 .52688 L .41626 .54671 L p .762 .501 .538 r F P s P p .002 w .32875 .51198 m .32936 .50306 L .3727 .52688 L p .762 .501 .538 r F P s P p .002 w .32936 .50306 m .32875 .51198 L .2853 .48855 L p .762 .501 .538 r F P s P p .002 w .4597 .56869 m .45969 .56889 L .41559 .56451 L p .762 .501 .538 r F P s P p .002 w .41559 .56451 m .41561 .56396 L .4597 .56869 L p .762 .501 .538 r F P s P p .002 w .45969 .56889 m .45969 .56914 L .41556 .56521 L p 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.79484 m .03972 .78803 L s P [(-1)] .03657 .80845 .15454 -1 Mshowa p .002 w .1433 .86846 m .14411 .86163 L s P [(-0.5)] .14168 .88214 .11851 -1 Mshowa p .002 w .23715 .93451 m .23775 .92765 L s P [(0)] .23595 .94823 .08756 -1 Mshowa p .002 w .32182 .99409 m .32224 .98722 L s P [(0.5)] .32098 1.00784 .0607 -1 Mshowa p .002 w .39858 1.04811 m .39884 1.04123 L s P [(1)] .39807 1.06188 .03715 -1 Mshowa p .001 w .06055 .81023 m .06115 .80614 L s P p .001 w .08193 .82528 m .0825 .82119 L s P p .001 w .10284 .83999 m .10338 .8359 L s P p .001 w .12329 .85439 m .12381 .85029 L s P p .001 w .16288 .88224 m .16334 .87814 L s P p .001 w .18204 .89573 m .18247 .89162 L s P p .001 w .2008 .90893 m .20121 .90482 L s P p .001 w .21916 .92185 m .21955 .91774 L s P p .001 w .25478 .94692 m .25511 .9428 L s P p .001 w .27204 .95907 m .27236 .95495 L s P p .001 w .28897 .97098 m .28926 .96685 L s P p .001 w .30556 .98265 m .30583 .97853 L s P p .001 w .33777 1.00532 m .338 1.00119 L s P p .001 w .35341 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p .001 w .04066 .70425 m .04459 .70296 L s P p .001 w .03563 .73599 m .03957 .73473 L s P p .001 w .03049 .7684 m .03444 .76716 L s P P p P % End of Graphics MathPictureEnd :[font = output; output; inactive; preserveAspect; endGroup; endGroup] No Input Form was saved for this expression. ;[o] -Graphics3D- :[font = subsection; inactive; Cclosed; preserveAspect; startGroup] Problem 12(d) :[font = text; inactive; preserveAspect] The solution surface is u=-(x^2-4xy+y^2)/(x+y). :[font = input; preserveAspect; startGroup] Plot3D[-(x^2-4x y+y^2)/(x+y),{x,-1,1},{y,-1,1}, BoxRatios->{1,1,1},PlotRange->{-5,5},ClipFill->None, PlotPoints->40] :[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 100; pictureWidth = 276; pictureHeight = 300] %! %%Creator: Mathematica %%AspectRatio: 1.08079 MathPictureStart %% SurfaceGraphics /Courier findfont 10 scalefont setfont % Scaling calculations -0.0260524 1.10184 0.0275459 1.10184 [ [(-1)] .10149 .24974 .98066 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.974 r .74654 .69477 .75261 .70099 .76705 .70172 .76102 .6952 Metetra .493 .712 .968 r .76102 .6952 .76705 .70172 .78158 .70191 .77557 .6951 Metetra .522 .717 .961 r .77557 .6951 .78158 .70191 .79618 .70162 .7902 .69451 Metetra .545 .719 .954 r .7902 .69451 .79618 .70162 .81085 .70089 .80491 .69348 Metetra .565 .72 .946 r .80491 .69348 .81085 .70089 .82561 .69975 .81969 .69205 Metetra .58 .719 .938 r .81969 .69205 .82561 .69975 .84043 .69826 .83454 .69026 Metetra .594 .717 .93 r .83454 .69026 .84043 .69826 .85533 .69642 .84947 .68813 Metetra .605 .715 .923 r .84947 .68813 .85533 .69642 .8703 .69428 .86447 .68571 Metetra .614 .713 .916 r .86447 .68571 .8703 .69428 .88534 .69185 .87954 .683 Metetra .622 .71 .909 r .87954 .683 .88534 .69185 .90046 .68916 .89468 .68003 Metetra .629 .707 .903 r .89468 .68003 .90046 .68916 .91564 .68622 .90989 .67682 Metetra .635 .705 .897 r .90989 .67682 .91564 .68622 .9309 .68306 .92517 .67338 Metetra .623 .782 .958 r .40048 1.02458 .40848 1.03034 .4365 .54512 .41383 1.02144 Metetra 0 0 .318 r .41383 1.02144 .4365 .54512 .448 .54129 .44129 .53417 Metetra .476 .65 .935 r .52362 .5066 .53008 .51396 .54211 .52288 .53563 .50755 Metetra .823 .464 0 r .53563 .50755 .54211 .52288 .55456 .55644 .54803 .54508 Metetra .811 .408 0 r .54803 .54508 .55456 .55644 .56729 .58356 .56076 .57478 Metetra .776 .334 0 r .56076 .57478 .56729 .58356 .58026 .60568 .57373 .59858 Metetra .721 .243 0 r .57373 .59858 .58026 .60568 .59343 .62383 .58692 .6178 Metetra .642 .135 0 r .58692 .6178 .59343 .62383 .60676 .63877 .60028 .6334 Metetra .54 .012 0 r .60028 .6334 .60676 .63877 .62025 .6511 .61379 .6461 Metetra 0 .12 .575 r .61379 .6461 .62025 .6511 .63386 .66126 .62745 .65642 Metetra 0 .251 .692 r .62745 .65642 .63386 .66126 .6476 .6696 .64122 .66477 Metetra 0 .372 .792 r .64122 .66477 .6476 .6696 .66145 .67639 .6551 .67148 Metetra .006 .474 .869 r .6551 .67148 .66145 .67639 .6754 .68186 .66909 .67679 Metetra .128 .553 .922 r .66909 .67679 .6754 .68186 .68945 .6862 .68318 .68091 Metetra .231 .611 .954 r .68318 .68091 .68945 .6862 .70359 .68954 .69735 .684 Metetra .315 .652 .97 r .69735 .684 .70359 .68954 .71783 .69202 .71162 .6862 Metetra .382 .68 .976 r .71162 .6862 .71783 .69202 .73214 .69373 .72597 .68762 Metetra .435 .698 .976 r .72597 .68762 .73214 .69373 .74654 .69477 .7404 .68835 Metetra .477 .709 .971 r .7404 .68835 .74654 .69477 .76102 .6952 .75491 .68847 Metetra .51 .716 .965 r .75491 .68847 .76102 .6952 .77557 .6951 .76949 .68805 Metetra .537 .719 .957 r .76949 .68805 .77557 .6951 .7902 .69451 .78415 .68714 Metetra .559 .72 .948 r .78415 .68714 .7902 .69451 .80491 .69348 .79889 .6858 Metetra .577 .72 .94 r .79889 .6858 .80491 .69348 .81969 .69205 .8137 .68406 Metetra .592 .718 .932 r .8137 .68406 .81969 .69205 .83454 .69026 .82858 .68196 Metetra .604 .716 .924 r .82858 .68196 .83454 .69026 .84947 .68813 .84353 .67954 Metetra .614 .713 .916 r .84353 .67954 .84947 .68813 .86447 .68571 .85855 .67681 Metetra .622 .711 .909 r .85855 .67681 .86447 .68571 .87954 .683 .87364 .67381 Metetra .629 .708 .902 r .87364 .67381 .87954 .683 .89468 .68003 .88881 .67056 Metetra .635 .704 .896 r .88881 .67056 .89468 .68003 .90989 .67682 .90404 .66707 Metetra .641 .701 .89 r .90404 .66707 .90989 .67682 .92517 .67338 .91935 .66336 Metetra .623 .782 .958 r .4058 1.01559 .41383 1.02144 .44129 .53417 .41928 1.0124 Metetra 0 0 .318 r .41928 1.0124 .44129 .53417 .45288 .53029 .44614 .52307 Metetra .673 .727 .89 r .5171 .49917 .52362 .5066 .53563 .50755 .52913 .49512 Metetra .883 .502 .034 r .52913 .49512 .53563 .50755 .54803 .54508 .54146 .53208 Metetra .817 .432 0 r .54146 .53208 .54803 .54508 .56076 .57478 .55416 .56509 Metetra .789 .361 0 r .55416 .56509 .56076 .57478 .57373 .59858 .56713 .59098 Metetra .737 .269 0 r .56713 .59098 .57373 .59858 .58692 .6178 .58034 .61151 Metetra .659 .158 0 r .58034 .61151 .58692 .6178 .60028 .6334 .59372 .62789 Metetra .555 .029 0 r .59372 .62789 .60028 .6334 .61379 .6461 .60727 .64102 Metetra 0 .11 .567 r .60727 .64102 .61379 .6461 .62745 .65642 .62096 .65152 Metetra 0 .251 .692 r .62096 .65152 .62745 .65642 .64122 .66477 .63476 .6599 Metetra 0 .379 .798 r .63476 .6599 .64122 .66477 .6551 .67148 .64868 .6665 Metetra .024 .486 .878 r .64868 .6665 .6551 .67148 .66909 .67679 .66271 .67163 Metetra .151 .567 .93 r .66271 .67163 .66909 .67679 .68318 .68091 .67683 .67551 Metetra .255 .624 .959 r .67683 .67551 .68318 .68091 .69735 .684 .69104 .67832 Metetra .339 .663 .973 r .69104 .67832 .69735 .684 .71162 .6862 .70534 .68022 Metetra .405 .688 .977 r .70534 .68022 .71162 .6862 .72597 .68762 .71972 .68132 Metetra .456 .704 .974 r .71972 .68132 .72597 .68762 .7404 .68835 .73418 .68172 Metetra .496 .713 .968 r .73418 .68172 .7404 .68835 .75491 .68847 .74872 .68151 Metetra .528 .718 .96 r .74872 .68151 .75491 .68847 .76949 .68805 .76333 .68075 Metetra .553 .72 .951 r .76333 .68075 .76949 .68805 .78415 .68714 .77802 .67951 Metetra .573 .72 .942 r .77802 .67951 .78415 .68714 .79889 .6858 .79278 .67783 Metetra .589 .719 .933 r .79278 .67783 .79889 .6858 .8137 .68406 .80762 .67577 Metetra .602 .717 .925 r .80762 .67577 .8137 .68406 .82858 .68196 .82252 .67335 Metetra .613 .714 .917 r .82252 .67335 .82858 .68196 .84353 .67954 .8375 .67061 Metetra .622 .711 .909 r .8375 .67061 .84353 .67954 .85855 .67681 .85255 .66757 Metetra .63 .708 .902 r .85255 .66757 .85855 .67681 .87364 .67381 .86767 .66427 Metetra .636 .704 .895 r .86767 .66427 .87364 .67381 .88881 .67056 .88285 .66072 Metetra .642 .701 .889 r .88285 .66072 .88881 .67056 .90404 .66707 .89811 .65694 Metetra .646 .698 .883 r .89811 .65694 .90404 .66707 .91935 .66336 .91343 .65296 Metetra .623 .782 .958 r .41121 1.00646 .41928 1.0124 .44614 .52307 .4248 1.00321 Metetra 0 0 .318 r .4248 1.00321 .44614 .52307 .45783 .51914 .45106 .51182 Metetra .89 .471 .074 r .5226 .48759 .52913 .49512 .54146 .53208 .53484 .51679 Metetra .819 .456 0 r .53484 .51679 .54146 .53208 .55416 .56509 .5475 .55418 Metetra .801 .388 0 r .5475 .55418 .55416 .56509 .56713 .59098 .56047 .58274 Metetra .754 .297 0 r .56047 .58274 .56713 .59098 .58034 .61151 .57368 .60489 Metetra .678 .183 0 r .57368 .60489 .58034 .61151 .59372 .62789 .58709 .62222 Metetra .571 .049 0 r .58709 .62222 .59372 .62789 .60727 .64102 .60067 .63585 Metetra 0 .1 .558 r .60067 .63585 .60727 .64102 .62096 .65152 .61439 .64657 Metetra 0 .251 .692 r .61439 .64657 .62096 .65152 .63476 .6599 .62823 .65496 Metetra 0 .388 .805 r .62823 .65496 .63476 .6599 .64868 .6665 .64219 .66145 Metetra .043 .499 .887 r .64219 .66145 .64868 .6665 .66271 .67163 .65625 .66637 Metetra .175 .581 .938 r .65625 .66637 .66271 .67163 .67683 .67551 .6704 .66998 Metetra .282 .637 .965 r .6704 .66998 .67683 .67551 .69104 .67832 .68465 .67249 Metetra .365 .674 .976 r .68465 .67249 .69104 .67832 .70534 .68022 .69898 .67406 Metetra .428 .697 .976 r .69898 .67406 .70534 .68022 .71972 .68132 .71339 .67481 Metetra .477 .71 .972 r .71339 .67481 .71972 .68132 .73418 .68172 .72788 .67485 Metetra .515 .717 .964 r .72788 .67485 .73418 .68172 .74872 .68151 .74245 .67428 Metetra .545 .72 .955 r .74245 .67428 .74872 .68151 .76333 .68075 .75709 .67317 Metetra .568 .721 .945 r .75709 .67317 .76333 .68075 .77802 .67951 .77181 .67157 Metetra .586 .72 .935 r .77181 .67157 .77802 .67951 .79278 .67783 .7866 .66955 Metetra .601 .717 .926 r .7866 .66955 .79278 .67783 .80762 .67577 .80146 .66714 Metetra .613 .714 .917 r .80146 .66714 .80762 .67577 .82252 .67335 .81639 .66438 Metetra .623 .711 .909 r .81639 .66438 .82252 .67335 .8375 .67061 .83139 .66132 Metetra .631 .708 .902 r .83139 .66132 .8375 .67061 .85255 .66757 .84646 .65796 Metetra .637 .704 .895 r .84646 .65796 .85255 .66757 .86767 .66427 .8616 .65435 Metetra .643 .701 .888 r .8616 .65435 .86767 .66427 .88285 .66072 .87681 .6505 Metetra .648 .697 .882 r .87681 .6505 .88285 .66072 .89811 .65694 .89208 .64642 Metetra .652 .693 .876 r .89208 .64642 .89811 .65694 .91343 .65296 .90743 .64215 Metetra .623 .782 .958 r .4167 .99717 .4248 1.00321 .45106 .51182 .43042 .99388 Metetra 0 0 .318 r .43042 .99388 .45106 .51182 .46284 .50783 .45606 .50041 Metetra .714 .241 0 r .516 .47998 .5226 .48759 .53484 .51679 .52819 .49813 Metetra .813 .478 0 r .52819 .49813 .53484 .51679 .5475 .55418 .54078 .54156 Metetra .809 .417 0 r .54078 .54156 .5475 .55418 .56047 .58274 .55373 .57364 Metetra .77 .328 0 r .55373 .57364 .56047 .58274 .57368 .60489 .56695 .59785 Metetra .697 .212 0 r .56695 .59785 .57368 .60489 .58709 .62222 .58039 .61634 Metetra .589 .071 0 r .58039 .61634 .58709 .62222 .60067 .63585 .594 .63058 Metetra .446 0 0 r .594 .63058 .60067 .63585 .61439 .64657 .60775 .64155 Metetra 0 .251 .692 r .60775 .64155 .61439 .64657 .62823 .65496 .62163 .64996 Metetra 0 .398 .812 r .62163 .64996 .62823 .65496 .64219 .66145 .63562 .65631 Metetra .065 .514 .896 r .63562 .65631 .64219 .66145 .65625 .66637 .64971 .661 Metetra .202 .597 .946 r .64971 .661 .65625 .66637 .6704 .66998 .6639 .66432 Metetra .31 .651 .97 r .6639 .66432 .6704 .66998 .68465 .67249 .67818 .66649 Metetra .391 .685 .977 r .67818 .66649 .68465 .67249 .69898 .67406 .69254 .66768 Metetra .453 .704 .975 r .69254 .66768 .69898 .67406 .71339 .67481 .70698 .66806 Metetra .499 .715 .968 r .70698 .66806 .71339 .67481 .72788 .67485 .7215 .66772 Metetra .535 .72 .958 r .7215 .66772 .72788 .67485 .74245 .67428 .7361 .66677 Metetra .562 .721 .948 r .7361 .66677 .74245 .67428 .75709 .67317 .75077 .66527 Metetra .583 .72 .938 r .75077 .66527 .75709 .67317 .77181 .67157 .76551 .6633 Metetra .599 .718 .928 r .76551 .6633 .77181 .67157 .7866 .66955 .78032 .66091 Metetra .612 .715 .918 r .78032 .66091 .7866 .66955 .80146 .66714 .79521 .65814 Metetra .623 .712 .909 r .79521 .65814 .80146 .66714 .81639 .66438 .81016 .65504 Metetra .632 .708 .901 r .81016 .65504 .81639 .66438 .83139 .66132 .82519 .65163 Metetra .639 .704 .894 r .82519 .65163 .83139 .66132 .84646 .65796 .84028 .64795 Metetra .644 .7 .887 r .84028 .64795 .84646 .65796 .8616 .65435 .85544 .64401 Metetra .649 .696 .88 r .85544 .64401 .8616 .65435 .87681 .6505 .87067 .63985 Metetra .653 .692 .874 r .87067 .63985 .87681 .6505 .89208 .64642 .88596 .63547 Metetra .656 .689 .869 r .88596 .63547 .89208 .64642 .90743 .64215 .90133 .6309 Metetra .623 .782 .958 r .42228 .98774 .43042 .99388 .45606 .50041 .43614 .98439 Metetra 0 0 .318 r .43614 .98439 .45606 .50041 .46793 .49637 .46112 .48885 Metetra .417 .621 .936 r .50934 .47231 .516 .47998 .52819 .49813 .52154 .47419 Metetra .794 .494 0 r .52154 .47419 .52819 .49813 .54078 .54156 .53402 .52642 Metetra .812 .446 0 r .53402 .52642 .54078 .54156 .55373 .57364 .54693 .56335 Metetra .785 .361 0 r .54693 .56335 .55373 .57364 .56695 .59785 .56015 .59025 Metetra .718 .244 0 r .56015 .59025 .56695 .59785 .58039 .61634 .57361 .61022 Metetra .609 .096 0 r .57361 .61022 .58039 .61634 .594 .63058 .58724 .62521 Metetra .459 0 0 r .58724 .62521 .594 .63058 .60775 .64155 .60103 .63647 Metetra 0 .251 .692 r .60103 .63647 .60775 .64155 .62163 .64996 .61494 .6449 Metetra 0 .409 .821 r .61494 .6449 .62163 .64996 .63562 .65631 .62897 .6511 Metetra .09 .53 .907 r .62897 .6511 .63562 .65631 .64971 .661 .6431 .65552 Metetra .232 .613 .954 r .6431 .65552 .64971 .661 .6639 .66432 .65732 .65849 Metetra .34 .665 .974 r .65732 .65849 .6639 .66432 .67818 .66649 .67163 .66028 Metetra .42 .695 .977 r .67163 .66028 .67818 .66649 .69254 .66768 .68602 .66108 Metetra .478 .711 .972 r .68602 .66108 .69254 .66768 .70698 .66806 .70049 .66104 Metetra .521 .719 .963 r .70049 .66104 .70698 .66806 .7215 .66772 .71504 .66029 Metetra .554 .722 .952 r .71504 .66029 .7215 .66772 .7361 .66677 .72966 .65892 Metetra .578 .721 .94 r .72966 .65892 .7361 .66677 .75077 .66527 .74436 .65702 Metetra .597 .719 .929 r .74436 .65702 .75077 .66527 .76551 .6633 .75913 .65466 Metetra .612 .716 .919 r .75913 .65466 .76551 .6633 .78032 .66091 .77396 .65188 Metetra .623 .712 .91 r .77396 .65188 .78032 .66091 .79521 .65814 .78887 .64874 Metetra .633 .708 .901 r .78887 .64874 .79521 .65814 .81016 .65504 .80385 .64527 Metetra .64 .704 .892 r .80385 .64527 .81016 .65504 .82519 .65163 .81889 .64151 Metetra .646 .699 .885 r .81889 .64151 .82519 .65163 .84028 .64795 .834 .63748 Metetra .651 .695 .878 r .834 .63748 .84028 .64795 .85544 .64401 .84918 .63322 Metetra .655 .691 .872 r .84918 .63322 .85544 .64401 .87067 .63985 .86443 .62874 Metetra .658 .687 .866 r .86443 .62874 .87067 .63985 .88596 .63547 .87975 .62405 Metetra .661 .684 .861 r .87975 .62405 .88596 .63547 .90133 .6309 .89513 .61919 Metetra .623 .782 .958 r .42796 .97815 .43614 .98439 .46112 .48885 .44194 .97474 Metetra 0 0 .318 r .44194 .97474 .46112 .48885 .47308 .48474 .46625 .47712 Metetra .673 .727 .89 r .50262 .46457 .50934 .47231 .52154 .47419 .51487 .46035 Metetra .922 .561 .127 r .51487 .46035 .52154 .47419 .53402 .52642 .52722 .50732 Metetra .805 .471 0 r .52722 .50732 .53402 .52642 .54693 .56335 .54007 .55128 Metetra .797 .395 0 r .54007 .55128 .54693 .56335 .56015 .59025 .55328 .58188 Metetra .739 .279 0 r .55328 .58188 .56015 .59025 .57361 .61022 .56675 .60378 Metetra .632 .126 0 r .56675 .60378 .57361 .61022 .58724 .62521 .58041 .6197 Metetra .474 0 0 r .58041 .6197 .58724 .62521 .60103 .63647 .59423 .63133 Metetra 0 .251 .692 r .59423 .63133 .60103 .63647 .61494 .6449 .60818 .63977 Metetra 0 .422 .831 r .60818 .63977 .61494 .6449 .62897 .6511 .62224 .64578 Metetra .119 .549 .918 r .62224 .64578 .62897 .6511 .6431 .65552 .6364 .6499 Metetra .265 .631 .962 r .6364 .6499 .6431 .65552 .65732 .65849 .65066 .65249 Metetra .372 .678 .977 r .65066 .65249 .65732 .65849 .67163 .66028 .665 .65386 Metetra .449 .704 .976 r .665 .65386 .67163 .66028 .68602 .66108 .67942 .65421 Metetra .504 .717 .967 r .67942 .65421 .68602 .66108 .70049 .66104 .69392 .65372 Metetra .544 .722 .956 r .69392 .65372 .70049 .66104 .71504 .66029 .7085 .65252 Metetra .573 .722 .944 r .7085 .65252 .71504 .66029 .72966 .65892 .72314 .65072 Metetra .595 .72 .932 r .72314 .65072 .72966 .65892 .74436 .65702 .73786 .64838 Metetra .611 .717 .92 r .73786 .64838 .74436 .65702 .75913 .65466 .75265 .6456 Metetra .624 .712 .91 r .75265 .6456 .75913 .65466 .77396 .65188 .76751 .64242 Metetra .634 .708 .9 r .76751 .64242 .77396 .65188 .78887 .64874 .78244 .63888 Metetra .641 .703 .891 r .78244 .63888 .78887 .64874 .80385 .64527 .79744 .63504 Metetra .648 .699 .883 r .79744 .63504 .80385 .64527 .81889 .64151 .8125 .63091 Metetra .653 .694 .876 r .8125 .63091 .81889 .64151 .834 .63748 .82763 .62654 Metetra .657 .69 .869 r .82763 .62654 .834 .63748 .84918 .63322 .84283 .62194 Metetra .66 .686 .863 r .84283 .62194 .84918 .63322 .86443 .62874 .85809 .61713 Metetra .663 .682 .858 r .85809 .61713 .86443 .62874 .87975 .62405 .87343 .61213 Metetra .665 .678 .852 r .87343 .61213 .87975 .62405 .89513 .61919 .88883 .60696 Metetra .623 .782 .958 r .43372 .9684 .44194 .97474 .46625 .47712 .44784 .96494 Metetra 0 0 .318 r .44784 .96494 .46625 .47712 .47831 .47295 .47146 .46522 Metetra .882 .46 .053 r .50813 .45249 .51487 .46035 .52722 .50732 .52043 .48145 Metetra .779 .489 0 r .52043 .48145 .52722 .50732 .54007 .55128 .53315 .53645 Metetra .803 .43 0 r .53315 .53645 .54007 .55128 .55328 .58188 .54634 .57239 Metetra .76 .318 0 r .54634 .57239 .55328 .58188 .56675 .60378 .55982 .59691 Metetra .657 .16 0 r .55982 .59691 .56675 .60378 .58041 .6197 .5735 .61404 Metetra .491 0 0 r .5735 .61404 .58041 .6197 .59423 .63133 .58735 .62612 Metetra 0 .251 .693 r .58735 .62612 .59423 .63133 .60818 .63977 .60134 .63458 Metetra 0 .437 .842 r .60134 .63458 .60818 .63977 .62224 .64578 .61543 .64037 Metetra .152 .569 .93 r .61543 .64037 .62224 .64578 .6364 .6499 .62963 .64412 Metetra .301 .649 .969 r .62963 .64412 .6364 .6499 .65066 .65249 .64392 .64628 Metetra .407 .692 .978 r .64392 .64628 .65066 .65249 .665 .65386 .65829 .64717 Metetra .479 .713 .973 r .65829 .64717 .665 .65386 .67942 .65421 .67274 .64703 Metetra .53 .721 .961 r .67274 .64703 .67942 .65421 .69392 .65372 .68726 .64605 Metetra .566 .723 .948 r .68726 .64605 .69392 .65372 .7085 .65252 .70186 .64437 Metetra .591 .722 .934 r .70186 .64437 .7085 .65252 .72314 .65072 .71654 .64209 Metetra .61 .718 .922 r .71654 .64209 .72314 .65072 .73786 .64838 .73128 .6393 Metetra .624 .713 .91 r .73128 .6393 .73786 .64838 .75265 .6456 .74609 .63607 Metetra .635 .708 .899 r .74609 .63607 .75265 .6456 .76751 .64242 .76097 .63247 Metetra .643 .703 .89 r .76097 .63247 .76751 .64242 .78244 .63888 .77592 .62853 Metetra .65 .698 .881 r .77592 .62853 .78244 .63888 .79744 .63504 .79093 .62429 Metetra .655 .693 .873 r .79093 .62429 .79744 .63504 .8125 .63091 .80601 .61979 Metetra .659 .688 .866 r .80601 .61979 .8125 .63091 .82763 .62654 .82116 .61506 Metetra .662 .684 .86 r .82116 .61506 .82763 .62654 .84283 .62194 .83637 .61011 Metetra .665 .679 .854 r .83637 .61011 .84283 .62194 .85809 .61713 .85165 .60497 Metetra .667 .675 .849 r .85165 .60497 .85809 .61713 .87343 .61213 .867 .59966 Metetra .668 .672 .844 r .867 .59966 .87343 .61213 .88883 .60696 .88242 .59418 Metetra .623 .782 .958 r .43959 .95849 .44784 .96494 .47146 .46522 .45384 .95497 Metetra 0 0 .318 r .45384 .95497 .47146 .46522 .48362 .461 .47674 .45315 Metetra .604 .703 .914 r .50133 .44457 .50813 .45249 .52043 .48145 .51371 .44242 Metetra .718 .487 0 r .51371 .44242 .52043 .48145 .53315 .53645 .5262 .51687 Metetra .794 .461 0 r .5262 .51687 .53315 .53645 .54634 .57239 .53932 .56114 Metetra .778 .361 0 r .53932 .56114 .54634 .57239 .55982 .59691 .5528 .58941 Metetra .684 .199 0 r .5528 .58941 .55982 .59691 .5735 .61404 .56651 .60818 Metetra .512 0 0 r .56651 .60818 .5735 .61404 .58735 .62612 .5804 .62083 Metetra 0 .251 .693 r .5804 .62083 .58735 .62612 .60134 .63458 .59441 .62932 Metetra 0 .455 .855 r .59441 .62932 .60134 .63458 .61543 .64037 .60854 .63484 Metetra .19 .592 .943 r .60854 .63484 .61543 .64037 .62963 .64412 .62277 .63817 Metetra .341 .667 .975 r .62277 .63817 .62963 .64412 .64392 .64628 .63709 .63982 Metetra .443 .704 .977 r .63709 .63982 .64392 .64628 .65829 .64717 .65149 .64018 Metetra .51 .72 .967 r .65149 .64018 .65829 .64717 .67274 .64703 .66597 .6395 Metetra .556 .724 .953 r .66597 .6395 .67274 .64703 .68726 .64605 .68052 .63798 Metetra .587 .723 .937 r .68052 .63798 .68726 .64605 .70186 .64437 .69514 .63577 Metetra .609 .719 .923 r .69514 .63577 .70186 .64437 .71654 .64209 .70984 .63298 Metetra .625 .714 .91 r .70984 .63298 .71654 .64209 .73128 .6393 .7246 .62971 Metetra .637 .708 .898 r .7246 .62971 .73128 .6393 .74609 .63607 .73943 .62602 Metetra .645 .702 .888 r .73943 .62602 .74609 .63607 .76097 .63247 .75433 .62197 Metetra .652 .697 .879 r .75433 .62197 .76097 .63247 .77592 .62853 .76929 .6176 Metetra .657 .691 .87 r .76929 .6176 .77592 .62853 .79093 .62429 .78432 .61296 Metetra .661 .686 .863 r .78432 .61296 .79093 .62429 .80601 .61979 .79942 .60808 Metetra .664 .681 .856 r .79942 .60808 .80601 .61979 .82116 .61506 .81458 .60298 Metetra .667 .677 .85 r .81458 .60298 .82116 .61506 .83637 .61011 .82981 .59769 Metetra .669 .672 .845 r .82981 .59769 .83637 .61011 .85165 .60497 .84511 .59221 Metetra .67 .668 .84 r .84511 .59221 .85165 .60497 .867 .59966 .86047 .58658 Metetra .671 .665 .835 r .86047 .58658 .867 .59966 .88242 .59418 .87589 .5808 Metetra .557 .425 .656 r .30856 .94689 .31498 .98928 .3285 .98594 .32172 .94796 Metetra .541 .424 .669 r .32172 .94796 .3285 .98594 .34211 .98258 .3349 .95054 Metetra .509 .421 .692 r .3349 .95054 .34211 .98258 .35579 .97919 .3481 .95515 Metetra .422 .407 .738 r .3481 .95515 .35579 .97919 .36956 .97579 .3613 .96259 Metetra .429 .538 .866 r .3613 .96259 .36956 .97579 .3834 .97237 .37485 .966 Metetra .623 .782 .958 r .44555 .94841 .45384 .95497 .47674 .45315 .45995 .94483 Metetra 0 0 .318 r .45995 .94483 .47674 .45315 .489 .44887 .48209 .44091 Metetra .673 .727 .89 r .49446 .43656 .50133 .44457 .51371 .44242 .50689 .4322 Metetra .95 .596 .251 r .50689 .4322 .51371 .44242 .5262 .51687 .51926 .48801 Metetra .754 .479 0 r .51926 .48801 .5262 .51687 .53932 .56114 .53225 .54689 Metetra .787 .405 0 r .53225 .54689 .53932 .56114 .5528 .58941 .54571 .58097 Metetra .712 .246 0 r .54571 .58097 .5528 .58941 .56651 .60818 .55944 .60205 Metetra .537 .015 0 r .55944 .60205 .56651 .60818 .5804 .62083 .57335 .61547 Metetra 0 .25 .693 r .57335 .61547 .5804 .62083 .59441 .62932 .58741 .62399 Metetra .007 .476 .87 r .58741 .62399 .59441 .62932 .60854 .63484 .60157 .62917 Metetra .234 .617 .955 r .60157 .62917 .60854 .63484 .62277 .63817 .61583 .63199 Metetra .385 .686 .978 r .61583 .63199 .62277 .63817 .63709 .63982 .63018 .63307 Metetra .481 .715 .973 r .63018 .63307 .63709 .63982 .65149 .64018 .6446 .63282 Metetra .542 .725 .959 r .6446 .63282 .65149 .64018 .66597 .6395 .65911 .63153 Metetra .581 .725 .942 r .65911 .63153 .66597 .6395 .68052 .63798 .67368 .62942 Metetra .607 .721 .925 r .67368 .62942 .68052 .63798 .69514 .63577 .68833 .62664 Metetra .626 .715 .91 r .68833 .62664 .69514 .63577 .70984 .63298 .70304 .62331 Metetra .639 .708 .897 r .70304 .62331 .70984 .63298 .7246 .62971 .71782 .61953 Metetra .648 .702 .886 r .71782 .61953 .7246 .62971 .73943 .62602 .73267 .61535 Metetra .655 .695 .876 r .73267 .61535 .73943 .62602 .75433 .62197 .74759 .61084 Metetra .66 .689 .867 r .74759 .61084 .75433 .62197 .76929 .6176 .76257 .60604 Metetra .664 .684 .859 r .76257 .60604 .76929 .6176 .78432 .61296 .77761 .60099 Metetra .667 .678 .852 r .77761 .60099 .78432 .61296 .79942 .60808 .79272 .59572 Metetra .669 .673 .845 r .79272 .59572 .79942 .60808 .81458 .60298 .8079 .59025 Metetra .67 .669 .84 r .8079 .59025 .81458 .60298 .82981 .59769 .82314 .5846 Metetra .672 .665 .835 r .82314 .5846 .82981 .59769 .84511 .59221 .83845 .5788 Metetra .673 .661 .83 r .83845 .5788 .84511 .59221 .86047 .58658 .85382 .57284 Metetra .674 .657 .826 r .85382 .57284 .86047 .58658 .87589 .5808 .86926 .56676 Metetra .579 .434 .648 r .30246 .90142 .30856 .94689 .32172 .94796 .31567 .89964 Metetra .572 .425 .643 r .31567 .89964 .32172 .94796 .3349 .95054 .32892 .8987 Metetra .563 .414 .636 r .32892 .8987 .3349 .95054 .3481 .95515 .34221 .89885 Metetra .553 .401 .629 r .34221 .89885 .3481 .95515 .3613 .96259 .35553 .90047 Metetra .541 .387 .621 r .35553 .90047 .3613 .96259 .37485 .966 .36887 .90415 Metetra .521 .373 .62 r .36887 .90415 .37485 .966 .38883 .96253 .38221 .91079 Metetra .472 .35 .632 r .38221 .91079 .38883 .96253 .40288 .95903 .39555 .92197 Metetra .301 .265 .65 r .39555 .92197 .40288 .95903 .41702 .95551 .40883 .94054 Metetra .4 .496 .842 r .40883 .94054 .41702 .95551 .43125 .95197 .42281 .94538 Metetra .623 .782 .958 r .45162 .93816 .45995 .94483 .48209 .44091 .46616 .93451 Metetra 0 0 .318 r .46616 .93451 .48209 .44091 .49446 .43656 .48753 .42849 Metetra 0 .045 .573 r .5 .42408 .50689 .4322 .51926 .48801 .51245 .4367 Metetra 0 0 .138 r .51245 .4367 .51926 .48801 .53225 .54689 .52514 .52675 Metetra .775 .445 0 r .52514 .52675 .53225 .54689 .54571 .58097 .53854 .57091 Metetra .74 .3 0 r .53854 .57091 .54571 .58097 .55944 .60205 .55228 .59553 Metetra .567 .053 0 r .55228 .59553 .55944 .60205 .57335 .61547 .56623 .61002 Metetra 0 .25 .693 r .56623 .61002 .57335 .61547 .58741 .62399 .58031 .61857 Metetra .045 .502 .887 r .58031 .61857 .58741 .62399 .60157 .62917 .59451 .62334 Metetra .285 .644 .967 r .59451 .62334 .60157 .62917 .61583 .63199 .6088 .62555 Metetra .433 .704 .979 r .6088 .62555 .61583 .63199 .63018 .63307 .62318 .62595 Metetra .52 .724 .966 r .62318 .62595 .63018 .63307 .6446 .63282 .63763 .625 Metetra .573 .727 .947 r .63763 .625 .6446 .63282 .65911 .63153 .65216 .62304 Metetra .605 .723 .928 r .65216 .62304 .65911 .63153 .67368 .62942 .66675 .62028 Metetra .627 .716 .911 r .66675 .62028 .67368 .62942 .68833 .62664 .68142 .61689 Metetra .641 .708 .896 r .68142 .61689 .68833 .62664 .70304 .62331 .69615 .61299 Metetra .651 .701 .883 r .69615 .61299 .70304 .62331 .71782 .61953 .71095 .60867 Metetra .658 .693 .872 r .71095 .60867 .71782 .61953 .73267 .61535 .72581 .60399 Metetra .663 .687 .862 r .72581 .60399 .73267 .61535 .74759 .61084 .74074 .599 Metetra .666 .68 .854 r .74074 .599 .74759 .61084 .76257 .60604 .75573 .59376 Metetra .669 .675 .846 r .75573 .59376 .76257 .60604 .77761 .60099 .77079 .58829 Metetra .671 .669 .84 r .77079 .58829 .77761 .60099 .79272 .59572 .78591 .58263 Metetra .672 .665 .834 r .78591 .58263 .79272 .59572 .8079 .59025 .8011 .57679 Metetra .673 .66 .829 r .8011 .57679 .8079 .59025 .82314 .5846 .81635 .57079 Metetra .674 .656 .824 r .81635 .57079 .82314 .5846 .83845 .5788 .83167 .56465 Metetra .675 .652 .82 r .83167 .56465 .83845 .5788 .85382 .57284 .84705 .55838 Metetra .675 .649 .816 r .84705 .55838 .85382 .57284 .86926 .56676 .8625 .55199 Metetra .597 .458 .663 r .29602 .86236 .30246 .90142 .31567 .89964 .30927 .85871 Metetra .592 .451 .658 r .30927 .85871 .31567 .89964 .32892 .8987 .32256 .8555 Metetra .586 .442 .653 r .32256 .8555 .32892 .8987 .34221 .89885 .33589 .85287 Metetra .578 .432 .647 r .33589 .85287 .34221 .89885 .35553 .90047 .34927 .85099 Metetra .57 .421 .64 r .34927 .85099 .35553 .90047 .36887 .90415 .36269 .85014 Metetra .559 .408 .632 r .36269 .85014 .36887 .90415 .38221 .91079 .37614 .8507 Metetra .545 .391 .623 r .37614 .8507 .38221 .91079 .39555 .92197 .38962 .85332 Metetra .529 .372 .612 r .38962 .85332 .39555 .92197 .40883 .94054 .40311 .85907 Metetra .507 .347 .599 r .40311 .85907 .40883 .94054 .42281 .94538 .4166 .8699 Metetra .445 .305 .597 r .4166 .8699 .42281 .94538 .43717 .94178 .43002 .8898 Metetra .11 .093 .555 r .43002 .8898 .43717 .94178 .45162 .93816 .44328 .92838 Metetra .538 .671 .924 r .44328 .92838 .45162 .93816 .46616 .93451 .45779 .92773 Metetra .623 .782 .958 r .45779 .92773 .46616 .93451 .48753 .42849 .47247 .92402 Metetra 0 0 .318 r .47247 .92402 .48753 .42849 .5 .42408 .49304 .41589 Metetra .673 .727 .89 r .49304 .41589 .5 .42408 .51245 .4367 .50562 .41142 Metetra .937 .625 .171 r .50562 .41142 .51245 .4367 .52514 .52675 .51805 .49223 Metetra .704 .458 0 r .51805 .49223 .52514 .52675 .53854 .57091 .53131 .5577 Metetra .758 .36 0 r .53131 .5577 .53854 .57091 .55228 .59553 .54504 .58838 Metetra .603 .102 0 r .54504 .58838 .55228 .59553 .56623 .61002 .55901 .60447 Metetra 0 .249 .694 r .55901 .60447 .56623 .61002 .58031 .61857 .57313 .61307 Metetra .092 .535 .908 r .57313 .61307 .58031 .61857 .59451 .62334 .58736 .6173 Metetra .344 .673 .976 r .58736 .6173 .59451 .62334 .6088 .62555 .60168 .61877 Metetra .484 .719 .975 r .60168 .61877 .6088 .62555 .62318 .62595 .61609 .61836 Metetra .559 .729 .954 r .61609 .61836 .62318 .62595 .63763 .625 .63056 .61662 Metetra .602 .726 .932 r .63056 .61662 .63763 .625 .65216 .62304 .64511 .6139 Metetra .628 .718 .911 r .64511 .6139 .65216 .62304 .66675 .62028 .65973 .61044 Metetra .644 .708 .894 r .65973 .61044 .66675 .62028 .68142 .61689 .67441 .6064 Metetra .654 .699 .879 r .67441 .6064 .68142 .61689 .69615 .61299 .68915 .60189 Metetra .661 .691 .867 r .68915 .60189 .69615 .61299 .71095 .60867 .70397 .597 Metetra .666 .683 .857 r .70397 .597 .71095 .60867 .72581 .60399 .71884 .5918 Metetra .669 .676 .848 r .71884 .5918 .72581 .60399 .74074 .599 .73378 .58634 Metetra .672 .67 .84 r .73378 .58634 .74074 .599 .75573 .59376 .74879 .58065 Metetra .673 .664 .833 r .74879 .58065 .75573 .59376 .77079 .58829 .76385 .57476 Metetra .674 .659 .827 r .76385 .57476 .77079 .58829 .78591 .58263 .77899 .5687 Metetra .675 .655 .822 r .77899 .5687 .78591 .58263 .8011 .57679 .79418 .5625 Metetra .675 .65 .818 r .79418 .5625 .8011 .57679 .81635 .57079 .80944 .55615 Metetra .676 .647 .813 r .80944 .55615 .81635 .57079 .83167 .56465 .82477 .54969 Metetra .676 .643 .81 r .82477 .54969 .83167 .56465 .84705 .55838 .84016 .54311 Metetra .676 .64 .806 r .84016 .54311 .84705 .55838 .8625 .55199 .85561 .53644 Metetra .613 .48 .676 r .28931 .82827 .29602 .86236 .30927 .85871 .30257 .82338 Metetra .609 .474 .673 r .30257 .82338 .30927 .85871 .32256 .8555 .31588 .81871 Metetra .605 .468 .668 r .31588 .81871 .32256 .8555 .33589 .85287 .32924 .81433 Metetra .599 .46 .664 r .32924 .81433 .33589 .85287 .34927 .85099 .34265 .81031 Metetra .593 .452 .658 r .34265 .81031 .34927 .85099 .36269 .85014 .35611 .80678 Metetra .586 .442 .652 r .35611 .80678 .36269 .85014 .37614 .8507 .36961 .80391 Metetra .577 .43 .645 r .36961 .80391 .37614 .8507 .38962 .85332 .38315 .80197 Metetra .566 .415 .636 r .38315 .80197 .38962 .85332 .40311 .85907 .39674 .80135 Metetra .552 .398 .626 r .39674 .80135 .40311 .85907 .4166 .8699 .41035 .80275 Metetra .533 .375 .613 r .41035 .80275 .4166 .8699 .43002 .8898 .42399 .80744 Metetra .507 .346 .597 r .42399 .80744 .43002 .8898 .44328 .92838 .43762 .81795 Metetra .471 .308 .577 r .43762 .81795 .44328 .92838 .45779 .92773 .45119 .84035 Metetra .222 .134 .539 r .45119 .84035 .45779 .92773 .47247 .92402 .46451 .89355 Metetra .197 .227 .666 r .46451 .89355 .47247 .92402 .49304 .41589 .47889 .91335 Metetra 0 0 .318 r .47889 .91335 .49304 .41589 .50562 .41142 .49863 .4031 Metetra .516 .666 .93 r .49863 .4031 .50562 .41142 .51805 .49223 .5113 .40296 Metetra 0 0 .212 r .5113 .40296 .51805 .49223 .53131 .5577 .52403 .53678 Metetra .738 .415 0 r .52403 .53678 .53131 .5577 .54504 .58838 .53772 .58001 Metetra .644 .166 0 r .53772 .58001 .54504 .58838 .55901 .60447 .55171 .59879 Metetra 0 .248 .694 r .55171 .59879 .55901 .60447 .57313 .61307 .56587 .60746 Metetra .155 .575 .932 r .56587 .60746 .57313 .61307 .58736 .6173 .58013 .61098 Metetra .413 .702 .981 r .58013 .61098 .58736 .6173 .60168 .61877 .59448 .61151 Metetra .537 .731 .964 r .59448 .61151 .60168 .61877 .61609 .61836 .6089 .61015 Metetra .598 .73 .937 r .6089 .61015 .61609 .61836 .63056 .61662 .6234 .60751 Metetra .63 .72 .912 r .6234 .60751 .63056 .61662 .64511 .6139 .63797 .60395 Metetra .648 .708 .891 r .63797 .60395 .64511 .6139 .65973 .61044 .6526 .59973 Metetra .659 .698 .875 r .6526 .59973 .65973 .61044 .67441 .6064 .66729 .59499 Metetra .666 .688 .861 r .66729 .59499 .67441 .6064 .68915 .60189 .68205 .58985 Metetra .67 .679 .85 r .68205 .58985 .68915 .60189 .70397 .597 .69688 .58439 Metetra .672 .671 .84 r .69688 .58439 .70397 .597 .71884 .5918 .71176 .57866 Metetra .674 .664 .832 r .71176 .57866 .71884 .5918 .73378 .58634 .72671 .57271 Metetra .675 .658 .825 r .72671 .57271 .73378 .58634 .74879 .58065 .74172 .56658 Metetra .676 .653 .82 r .74172 .56658 .74879 .58065 .76385 .57476 .7568 .56028 Metetra .676 .648 .814 r .7568 .56028 .76385 .57476 .77899 .5687 .77194 .55384 Metetra .676 .644 .81 r .77194 .55384 .77899 .5687 .79418 .5625 .78714 .54728 Metetra .676 .64 .806 r .78714 .54728 .79418 .5625 .80944 .55615 .80241 .5406 Metetra .676 .636 .802 r .80241 .5406 .80944 .55615 .82477 .54969 .81774 .53382 Metetra .676 .633 .799 r .81774 .53382 .82477 .54969 .84016 .54311 .83314 .52696 Metetra .676 .63 .796 r .83314 .52696 .84016 .54311 .85561 .53644 .8486 .52 Metetra .626 .5 .69 r .28236 .79809 .28931 .82827 .30257 .82338 .29563 .7924 Metetra .623 .496 .687 r .29563 .7924 .30257 .82338 .31588 .81871 .30895 .7868 Metetra .62 .491 .684 r .30895 .7868 .31588 .81871 .32924 .81433 .32232 .78132 Metetra .617 .486 .68 r .32232 .78132 .32924 .81433 .34265 .81031 .33574 .776 Metetra .613 .48 .676 r .33574 .776 .34265 .81031 .35611 .80678 .34922 .77089 Metetra .608 .472 .671 r .34922 .77089 .35611 .80678 .36961 .80391 .36274 .76606 Metetra .602 .464 .665 r .36274 .76606 .36961 .80391 .38315 .80197 .37631 .76161 Metetra .595 .454 .659 r .37631 .76161 .38315 .80197 .39674 .80135 .38993 .75769 Metetra .586 .441 .651 r .38993 .75769 .39674 .80135 .41035 .80275 .4036 .75455 Metetra .575 .426 .641 r .4036 .75455 .41035 .80275 .42399 .80744 .41732 .75259 Metetra .56 .406 .63 r .41732 .75259 .42399 .80744 .43762 .81795 .43107 .75255 Metetra .539 .38 .615 r .43107 .75255 .43762 .81795 .45119 .84035 .44485 .75591 Metetra .508 .345 .595 r .44485 .75591 .45119 .84035 .46451 .89355 .45863 .76617 Metetra .46 .294 .568 r .45863 .76617 .46451 .89355 .47889 .91335 .47233 .79407 Metetra .015 0 .451 r .47233 .79407 .47889 .91335 .49863 .4031 .48551 .89633 Metetra 0 0 .318 r .48551 .89633 .49863 .4031 .5113 .40296 .50431 .39012 Metetra .967 .643 .328 r .50431 .39012 .5113 .40296 .52403 .53678 .51682 .48595 Metetra 0 0 .202 r .51682 .48595 .52403 .53678 .53772 .58001 .53031 .56872 Metetra .68 .252 0 r .53031 .56872 .53772 .58001 .55171 .59879 .54432 .59291 Metetra 0 .245 .695 r .54432 .59291 .55171 .59879 .56587 .60746 .55851 .60172 Metetra .238 .625 .958 r .55851 .60172 .56587 .60746 .58013 .61098 .5728 .60425 Metetra .489 .728 .977 r .5728 .60425 .58013 .61098 .59448 .61151 .58718 .60359 Metetra .589 .735 .945 r .58718 .60359 .59448 .61151 .6089 .61015 .60162 .60109 Metetra .633 .723 .913 r .60162 .60109 .6089 .61015 .6234 .60751 .61614 .59741 Metetra .654 .708 .888 r .61614 .59741 .6234 .60751 .63797 .60395 .63072 .59294 Metetra .665 .695 .868 r .63072 .59294 .63797 .60395 .6526 .59973 .64536 .5879 Metetra .67 .683 .853 r .64536 .5879 .6526 .59973 .66729 .59499 .66007 .58244 Metetra .674 .673 .841 r .66007 .58244 .66729 .59499 .68205 .58985 .67484 .57666 Metetra .676 .664 .831 r .67484 .57666 .68205 .58985 .69688 .58439 .68967 .57062 Metetra .677 .656 .823 r .68967 .57062 .69688 .58439 .71176 .57866 .70456 .56438 Metetra .677 .65 .816 r .70456 .56438 .71176 .57866 .72671 .57271 .71952 .55796 Metetra .677 .644 .81 r .71952 .55796 .72671 .57271 .74172 .56658 .73454 .55139 Metetra .677 .64 .805 r .73454 .55139 .74172 .56658 .7568 .56028 .74962 .5447 Metetra .677 .635 .801 r .74962 .5447 .7568 .56028 .77194 .55384 .76476 .5379 Metetra .676 .631 .797 r .76476 .5379 .77194 .55384 .78714 .54728 .77997 .531 Metetra .676 .628 .794 r .77997 .531 .78714 .54728 .80241 .5406 .79524 .52401 Metetra .676 .625 .791 r .79524 .52401 .80241 .5406 .81774 .53382 .81058 .51695 Metetra .675 .622 .788 r .81058 .51695 .81774 .53382 .83314 .52696 .82598 .50981 Metetra .675 .619 .785 r .82598 .50981 .83314 .52696 .8486 .52 .84144 .5026 Metetra .637 .519 .703 r .2752 .77104 .28236 .79809 .29563 .7924 .28847 .76485 Metetra .635 .516 .701 r .28847 .76485 .29563 .7924 .30895 .7868 .30179 .75867 Metetra .633 .513 .698 r .30179 .75867 .30895 .7868 .32232 .78132 .31517 .75253 Metetra .631 .509 .696 r .31517 .75253 .32232 .78132 .33574 .776 .3286 .74644 Metetra .629 .505 .693 r .3286 .74644 .33574 .776 .34922 .77089 .34207 .74041 Metetra .626 .5 .689 r .34207 .74041 .34922 .77089 .36274 .76606 .35561 .73448 Metetra .623 .494 .685 r .35561 .73448 .36274 .76606 .37631 .76161 .36919 .72867 Metetra .618 .487 .68 r .36919 .72867 .37631 .76161 .38993 .75769 .38283 .72304 Metetra .613 .479 .675 r .38283 .72304 .38993 .75769 .4036 .75455 .39651 .71767 Metetra .607 .469 .668 r .39651 .71767 .4036 .75455 .41732 .75259 .41025 .71267 Metetra .598 .457 .66 r .41025 .71267 .41732 .75259 .43107 .75255 .42404 .70825 Metetra .587 .44 .649 r .42404 .70825 .43107 .75255 .44485 .75591 .43788 .70477 Metetra .571 .419 .635 r .43788 .70477 .44485 .75591 .45863 .76617 .45177 .70297 Metetra .547 .388 .617 r .45177 .70297 .45863 .76617 .47233 .79407 .46569 .70456 Metetra .509 .343 .591 r .46569 .70456 .47233 .79407 .48551 .89633 .47962 .71477 Metetra .44 .268 .551 r .47962 .71477 .48551 .89633 .50431 .39012 .49341 .76045 Metetra 0 0 .31 r .49341 .76045 .50431 .39012 .51682 .48595 .51007 .37695 Metetra 0 0 .176 r .51007 .37695 .51682 .48595 .53031 .56872 .52286 .54606 Metetra 0 0 .258 r .52286 .54606 .53031 .56872 .54432 .59291 .53684 .58664 Metetra 0 .237 .697 r .53684 .58664 .54432 .59291 .55851 .60172 .55106 .59578 Metetra .352 .687 .98 r .55106 .59578 .55851 .60172 .5728 .60425 .56538 .59686 Metetra .57 .744 .959 r .56538 .59686 .5728 .60425 .58718 .60359 .57978 .59465 Metetra .637 .729 .915 r .57978 .59465 .58718 .60359 .60162 .60109 .59424 .59078 Metetra .662 .708 .882 r .59424 .59078 .60162 .60109 .61614 .59741 .60877 .58594 Metetra .672 .69 .858 r .60877 .58594 .61614 .59741 .63072 .59294 .62336 .58049 Metetra .676 .675 .841 r .62336 .58049 .63072 .59294 .64536 .5879 .63801 .57462 Metetra .678 .663 .829 r .63801 .57462 .64536 .5879 .66007 .58244 .65273 .56844 Metetra .678 .654 .818 r .65273 .56844 .66007 .58244 .67484 .57666 .6675 .56203 Metetra .678 .646 .81 r .6675 .56203 .67484 .57666 .68967 .57062 .68234 .55544 Metetra .678 .639 .804 r .68234 .55544 .68967 .57062 .70456 .56438 .69724 .54871 Metetra .677 .634 .798 r .69724 .54871 .70456 .56438 .71952 .55796 .7122 .54185 Metetra .677 .629 .794 r .7122 .54185 .71952 .55796 .73454 .55139 .72722 .5349 Metetra .676 .625 .79 r .72722 .5349 .73454 .55139 .74962 .5447 .7423 .52785 Metetra .675 .621 .786 r .7423 .52785 .74962 .5447 .76476 .5379 .75745 .52072 Metetra .675 .618 .783 r .75745 .52072 .76476 .5379 .77997 .531 .77266 .51352 Metetra .674 .615 .781 r .77266 .51352 .77997 .531 .79524 .52401 .78794 .50625 Metetra .674 .612 .778 r .78794 .50625 .79524 .52401 .81058 .51695 .80327 .49893 Metetra .673 .61 .776 r .80327 .49893 .81058 .51695 .82598 .50981 .81868 .49154 Metetra .673 .608 .775 r .81868 .49154 .82598 .50981 .84144 .5026 .83414 .48411 Metetra .646 .536 .715 r .26784 .74655 .2752 .77104 .28847 .76485 .28112 .74005 Metetra .645 .534 .714 r .28112 .74005 .28847 .76485 .30179 .75867 .29444 .73354 Metetra .644 .532 .712 r .29444 .73354 .30179 .75867 .31517 .75253 .30782 .72703 Metetra .643 .53 .711 r .30782 .72703 .31517 .75253 .3286 .74644 .32124 .72051 Metetra .641 .527 .709 r .32124 .72051 .3286 .74644 .34207 .74041 .33472 .71399 Metetra .64 .524 .707 r .33472 .71399 .34207 .74041 .35561 .73448 .34826 .70748 Metetra .638 .521 .704 r .34826 .70748 .35561 .73448 .36919 .72867 .36184 .70098 Metetra .636 .517 .701 r .36184 .70098 .36919 .72867 .38283 .72304 .37548 .69451 Metetra .634 .512 .697 r .37548 .69451 .38283 .72304 .39651 .71767 .38917 .68808 Metetra .63 .506 .693 r .38917 .68808 .39651 .71767 .41025 .71267 .40292 .68173 Metetra .626 .499 .688 r .40292 .68173 .41025 .71267 .42404 .70825 .41672 .67549 Metetra .621 .49 .681 r .41672 .67549 .42404 .70825 .43788 .70477 .43057 .66945 Metetra .614 .478 .672 r .43057 .66945 .43788 .70477 .45177 .70297 .44448 .66371 Metetra .604 .461 .661 r .44448 .66371 .45177 .70297 .46569 .70456 .45844 .65855 Metetra .588 .438 .645 r .45844 .65855 .46569 .70456 .47962 .71477 .47246 .65457 Metetra .562 .401 .621 r .47246 .65457 .47962 .71477 .49341 .76045 .48652 .65358 Metetra .51 .336 .58 r .48652 .65358 .49341 .76045 .51007 .37695 .50059 .66476 Metetra 0 0 .301 r .50059 .66476 .51007 .37695 .52286 .54606 .51592 .36358 Metetra 0 0 .319 r .51592 .36358 .52286 .54606 .53684 .58664 .52927 .57899 Metetra 0 .208 .699 r .52927 .57899 .53684 .58664 .55106 .59578 .54352 .58944 Metetra .505 .751 .984 r .54352 .58944 .55106 .59578 .56538 .59686 .55787 .58819 Metetra .646 .74 .918 r .55787 .58819 .56538 .59686 .57978 .59465 .57228 .58397 Metetra .674 .705 .871 r .57228 .58397 .57978 .59465 .59424 .59078 .58675 .57853 Metetra .68 .68 .843 r .58675 .57853 .59424 .59078 .60877 .58594 .60129 .57247 Metetra .681 .662 .824 r .60129 .57247 .60877 .58594 .62336 .58049 .61589 .56605 Metetra .681 .648 .811 r .61589 .56605 .62336 .58049 .63801 .57462 .63054 .55938 Metetra .68 .638 .802 r .63054 .55938 .63801 .57462 .65273 .56844 .64526 .55254 Metetra .678 .63 .794 r .64526 .55254 .65273 .56844 .6675 .56203 .66004 .54557 Metetra .677 .624 .788 r .66004 .54557 .6675 .56203 .68234 .55544 .67488 .53851 Metetra .676 .619 .784 r .67488 .53851 .68234 .55544 .69724 .54871 .68978 .53135 Metetra .675 .614 .78 r .68978 .53135 .69724 .54871 .7122 .54185 .70474 .52413 Metetra .674 .611 .777 r .70474 .52413 .7122 .54185 .72722 .5349 .71976 .51684 Metetra .673 .608 .774 r .71976 .51684 .72722 .5349 .7423 .52785 .73485 .50949 Metetra .672 .605 .771 r .73485 .50949 .7423 .52785 .75745 .52072 .74999 .50209 Metetra .672 .602 .769 r .74999 .50209 .75745 .52072 .77266 .51352 .76521 .49464 Metetra .671 .6 .768 r .76521 .49464 .77266 .51352 .78794 .50625 .78048 .48715 Metetra .671 .598 .766 r .78048 .48715 .78794 .50625 .80327 .49893 .79582 .47961 Metetra .67 .597 .765 r .79582 .47961 .80327 .49893 .81868 .49154 .81122 .47203 Metetra .67 .595 .763 r .81122 .47203 .81868 .49154 .83414 .48411 .82669 .46441 Metetra .653 .552 .728 r .26032 .72415 .26784 .74655 .28112 .74005 .27359 .7175 Metetra .653 .551 .727 r .27359 .7175 .28112 .74005 .29444 .73354 .28691 .71083 Metetra .652 .55 .726 r .28691 .71083 .29444 .73354 .30782 .72703 .30028 .70413 Metetra .652 .549 .725 r .30028 .70413 .30782 .72703 .32124 .72051 .31371 .69741 Metetra .651 .548 .724 r .31371 .69741 .32124 .72051 .33472 .71399 .32719 .69067 Metetra .651 .547 .723 r .32719 .69067 .33472 .71399 .34826 .70748 .34072 .6839 Metetra .65 .545 .722 r .34072 .6839 .34826 .70748 .36184 .70098 .3543 .67711 Metetra .649 .543 .721 r .3543 .67711 .36184 .70098 .37548 .69451 .36794 .67029 Metetra .648 .541 .719 r .36794 .67029 .37548 .69451 .38917 .68808 .38163 .66346 Metetra .647 .538 .717 r .38163 .66346 .38917 .68808 .40292 .68173 .39538 .6566 Metetra .646 .535 .714 r .39538 .6566 .40292 .68173 .41672 .67549 .40917 .64973 Metetra .644 .531 .711 r .40917 .64973 .41672 .67549 .43057 .66945 .42303 .64285 Metetra .642 .526 .707 r .42303 .64285 .43057 .66945 .44448 .66371 .43694 .63597 Metetra .638 .519 .701 r .43694 .63597 .44448 .66371 .45844 .65855 .4509 .62909 Metetra .634 .51 .694 r .4509 .62909 .45844 .65855 .47246 .65457 .46492 .62225 Metetra .627 .495 .682 r .46492 .62225 .47246 .65457 .48652 .65358 .479 .61552 Metetra .614 .471 .663 r .479 .61552 .48652 .65358 .50059 .66476 .49313 .60908 Metetra .587 .423 .626 r .49313 .60908 .50059 .66476 .51592 .36358 .50732 .60394 Metetra 0 0 .293 r .50732 .60394 .51592 .36358 .52927 .57899 .52186 .35001 Metetra 0 0 .376 r .52186 .35001 .52927 .57899 .54352 .58944 .53588 .58171 Metetra .674 .774 .926 r .53588 .58171 .54352 .58944 .55787 .58819 .55024 .57647 Metetra .693 .694 .846 r .55024 .57647 .55787 .58819 .57228 .58397 .56466 .5699 Metetra .687 .655 .813 r .56466 .5699 .57228 .58397 .58675 .57853 .57914 .56296 Metetra .682 .634 .795 r .57914 .56296 .58675 .57853 .60129 .57247 .59368 .55586 Metetra .679 .621 .784 r .59368 .55586 .60129 .57247 .61589 .56605 .60828 .54867 Metetra .676 .613 .777 r .60828 .54867 .61589 .56605 .63054 .55938 .62293 .5414 Metetra .674 .606 .772 r .62293 .5414 .63054 .55938 .64526 .55254 .63765 .53409 Metetra .672 .601 .768 r .63765 .53409 .64526 .55254 .66004 .54557 .65243 .52673 Metetra .671 .598 .765 r .65243 .52673 .66004 .54557 .67488 .53851 .66727 .51933 Metetra .67 .595 .762 r .66727 .51933 .67488 .53851 .68978 .53135 .68217 .51189 Metetra .669 .592 .76 r .68217 .51189 .68978 .53135 .70474 .52413 .69713 .50441 Metetra .668 .59 .759 r .69713 .50441 .70474 .52413 .71976 .51684 .71215 .49689 Metetra .668 .588 .757 r .71215 .49689 .71976 .51684 .73485 .50949 .72723 .48935 Metetra .667 .587 .756 r .72723 .48935 .73485 .50949 .74999 .50209 .74238 .48176 Metetra .667 .585 .755 r .74238 .48176 .74999 .50209 .76521 .49464 .75759 .47415 Metetra .666 .584 .754 r .75759 .47415 .76521 .49464 .78048 .48715 .77286 .4665 Metetra .666 .583 .753 r .77286 .4665 .78048 .48715 .79582 .47961 .7882 .45881 Metetra .665 .582 .752 r .7882 .45881 .79582 .47961 .81122 .47203 .8036 .4511 Metetra .665 .582 .752 r .8036 .4511 .81122 .47203 .82669 .46441 .81907 .44334 Metetra .659 .567 .74 r .25263 .70349 .26032 .72415 .27359 .7175 .2659 .6968 Metetra .659 .567 .74 r .2659 .6968 .27359 .7175 .28691 .71083 .27922 .69008 Metetra .659 .567 .74 r .27922 .69008 .28691 .71083 .30028 .70413 .29259 .68334 Metetra .659 .567 .74 r .29259 .68334 .30028 .70413 .31371 .69741 .30601 .67657 Metetra .659 .567 .74 r .30601 .67657 .31371 .69741 .32719 .69067 .31948 .66977 Metetra .659 .567 .74 r .31948 .66977 .32719 .69067 .34072 .6839 .33301 .66295 Metetra .659 .566 .74 r .33301 .66295 .34072 .6839 .3543 .67711 .34659 .65611 Metetra .659 .566 .74 r .34659 .65611 .3543 .67711 .36794 .67029 .36023 .64925 Metetra .659 .566 .74 r .36023 .64925 .36794 .67029 .38163 .66346 .37391 .64236 Metetra .659 .566 .74 r .37391 .64236 .38163 .66346 .39538 .6566 .38766 .63545 Metetra .659 .566 .739 r .38766 .63545 .39538 .6566 .40917 .64973 .40145 .62852 Metetra .658 .566 .739 r .40145 .62852 .40917 .64973 .42303 .64285 .4153 .62157 Metetra .658 .566 .739 r .4153 .62157 .42303 .64285 .43694 .63597 .42921 .61461 Metetra .658 .565 .739 r .42921 .61461 .43694 .63597 .4509 .62909 .44317 .60765 Metetra .657 .565 .739 r .44317 .60765 .4509 .62909 .46492 .62225 .45719 .60069 Metetra .656 .564 .739 r .45719 .60069 .46492 .62225 .479 .61552 .47127 .59378 Metetra .654 .562 .738 r .47127 .59378 .479 .61552 .49313 .60908 .4854 .58696 Metetra .649 .557 .737 r .4854 .58696 .49313 .60908 .50732 .60394 .49959 .58045 Metetra .629 .537 .731 r .49959 .58045 .50732 .60394 .52186 .35001 .51383 .57521 Metetra 0 0 .289 r .51383 .57521 .52186 .35001 .53588 .58171 .52789 .33623 Metetra .002 0 .416 r .52789 .33623 .53588 .58171 .55024 .57647 .54248 .55288 Metetra .63 .537 .731 r .54248 .55288 .55024 .57647 .56466 .5699 .55691 .54755 Metetra .649 .557 .737 r .55691 .54755 .56466 .5699 .57914 .56296 .57138 .54089 Metetra .654 .562 .738 r .57138 .54089 .57914 .56296 .59368 .55586 .58592 .53387 Metetra .656 .564 .739 r .58592 .53387 .59368 .55586 .60828 .54867 .60051 .52669 Metetra .657 .565 .739 r .60051 .52669 .60828 .54867 .62293 .5414 .61517 .51941 Metetra .658 .565 .739 r .61517 .51941 .62293 .5414 .63765 .53409 .62988 .51207 Metetra .658 .566 .739 r .62988 .51207 .63765 .53409 .65243 .52673 .64466 .50467 Metetra .659 .566 .739 r .64466 .50467 .65243 .52673 .66727 .51933 .65949 .49723 Metetra .659 .566 .739 r .65949 .49723 .66727 .51933 .68217 .51189 .67439 .48974 Metetra .659 .566 .74 r .67439 .48974 .68217 .51189 .69713 .50441 .68935 .48222 Metetra .659 .566 .74 r .68935 .48222 .69713 .50441 .71215 .49689 .70437 .47465 Metetra .659 .566 .74 r .70437 .47465 .71215 .49689 .72723 .48935 .71945 .46706 Metetra .659 .567 .74 r .71945 .46706 .72723 .48935 .74238 .48176 .7346 .45942 Metetra .659 .567 .74 r .7346 .45942 .74238 .48176 .75759 .47415 .7498 .45175 Metetra .659 .567 .74 r .7498 .45175 .75759 .47415 .77286 .4665 .76507 .44405 Metetra .659 .567 .74 r .76507 .44405 .77286 .4665 .7882 .45881 .78041 .43632 Metetra .659 .567 .74 r .78041 .43632 .7882 .45881 .8036 .4511 .79581 .42855 Metetra .659 .567 .74 r .79581 .42855 .8036 .4511 .81907 .44334 .81127 .42074 Metetra .664 .58 .751 r .2448 .6843 .25263 .70349 .2659 .6968 .25806 .67763 Metetra .664 .581 .752 r .25806 .67763 .2659 .6968 .27922 .69008 .27137 .67095 Metetra .664 .582 .753 r .27137 .67095 .27922 .69008 .29259 .68334 .28474 .66425 Metetra .664 .583 .753 r .28474 .66425 .29259 .68334 .30601 .67657 .29816 .65753 Metetra .665 .584 .754 r .29816 .65753 .30601 .67657 .31948 .66977 .31163 .65081 Metetra .665 .585 .755 r .31163 .65081 .31948 .66977 .33301 .66295 .32515 .64407 Metetra .665 .586 .756 r .32515 .64407 .33301 .66295 .34659 .65611 .33873 .63732 Metetra .665 .587 .758 r .33873 .63732 .34659 .65611 .36023 .64925 .35236 .63058 Metetra .666 .589 .759 r .35236 .63058 .36023 .64925 .37391 .64236 .36605 .62384 Metetra .666 .59 .761 r .36605 .62384 .37391 .64236 .38766 .63545 .37979 .61711 Metetra .666 .593 .763 r .37979 .61711 .38766 .63545 .40145 .62852 .39358 .61041 Metetra .666 .595 .766 r .39358 .61041 .40145 .62852 .4153 .62157 .40743 .60375 Metetra .666 .598 .77 r .40743 .60375 .4153 .62157 .42921 .61461 .42133 .59716 Metetra .666 .602 .774 r .42133 .59716 .42921 .61461 .44317 .60765 .43529 .59068 Metetra .665 .607 .781 r .43529 .59068 .44317 .60765 .45719 .60069 .44931 .58439 Metetra .663 .614 .79 r .44931 .58439 .45719 .60069 .47127 .59378 .46338 .5784 Metetra .657 .623 .804 r .46338 .5784 .47127 .59378 .4854 .58696 .47752 .57297 Metetra .639 .635 .829 r .47752 .57297 .4854 .58696 .49959 .58045 .49171 .56869 Metetra .565 .641 .884 r .49171 .56869 .49959 .58045 .51383 .57521 .50597 .56735 Metetra 0 .2 .691 r .50597 .56735 .51383 .57521 .52789 .33623 .52033 .57792 Metetra 0 0 .293 r .52033 .57792 .52789 .33623 .54248 .55288 .53401 .32224 Metetra .111 .015 .456 r .53401 .32224 .54248 .55288 .55691 .54755 .54887 .49315 Metetra .475 .344 .623 r .54887 .49315 .55691 .54755 .57138 .54089 .5634 .503 Metetra .569 .441 .667 r .5634 .503 .57138 .54089 .58592 .53387 .57795 .50138 Metetra .602 .479 .685 r .57795 .50138 .58592 .53387 .60051 .52669 .59255 .49686 Metetra .618 .5 .696 r .59255 .49686 .60051 .52669 .61517 .51941 .60721 .49114 Metetra .628 .513 .703 r .60721 .49114 .61517 .51941 .62988 .51207 .62192 .48482 Metetra .634 .521 .708 r .62192 .48482 .62988 .51207 .64466 .50467 .6367 .47813 Metetra .638 .528 .712 r .6367 .47813 .64466 .50467 .65949 .49723 .65153 .4712 Metetra .641 .532 .715 r .65153 .4712 .65949 .49723 .67439 .48974 .66643 .46411 Metetra .644 .536 .718 r .66643 .46411 .67439 .48974 .68935 .48222 .68138 .45688 Metetra .645 .539 .72 r .68138 .45688 .68935 .48222 .70437 .47465 .6964 .44956 Metetra .647 .542 .721 r .6964 .44956 .70437 .47465 .71945 .46706 .71148 .44215 Metetra .648 .544 .723 r .71148 .44215 .71945 .46706 .7346 .45942 .72662 .43466 Metetra .649 .545 .724 r .72662 .43466 .7346 .45942 .7498 .45175 .74183 .42711 Metetra .65 .547 .725 r .74183 .42711 .7498 .45175 .76507 .44405 .7571 .41951 Metetra .651 .548 .726 r .7571 .41951 .76507 .44405 .78041 .43632 .77243 .41185 Metetra .651 .549 .727 r .77243 .41185 .78041 .43632 .79581 .42855 .78783 .40414 Metetra .652 .55 .727 r .78783 .40414 .79581 .42855 .81127 .42074 .80329 .39638 Metetra .667 .593 .763 r .23682 .66635 .2448 .6843 .25806 .67763 .25007 .65976 Metetra .668 .594 .764 r .25007 .65976 .25806 .67763 .27137 .67095 .26338 .65317 Metetra .668 .596 .765 r .26338 .65317 .27137 .67095 .28474 .66425 .27675 .64657 Metetra .668 .597 .767 r .27675 .64657 .28474 .66425 .29816 .65753 .29016 .63998 Metetra .668 .599 .768 r .29016 .63998 .29816 .65753 .31163 .65081 .30363 .63339 Metetra .668 .601 .77 r .30363 .63339 .31163 .65081 .32515 .64407 .31715 .62682 Metetra .669 .603 .773 r .31715 .62682 .32515 .64407 .33873 .63732 .33073 .62027 Metetra .669 .605 .775 r .33073 .62027 .33873 .63732 .35236 .63058 .34435 .61374 Metetra .669 .608 .778 r .34435 .61374 .35236 .63058 .36605 .62384 .35804 .60726 Metetra .669 .612 .782 r .35804 .60726 .36605 .62384 .37979 .61711 .37177 .60084 Metetra .669 .615 .786 r .37177 .60084 .37979 .61711 .39358 .61041 .38557 .59451 Metetra .668 .62 .791 r .38557 .59451 .39358 .61041 .40743 .60375 .39941 .5883 Metetra .667 .625 .798 r .39941 .5883 .40743 .60375 .42133 .59716 .41332 .58226 Metetra .665 .632 .807 r .41332 .58226 .42133 .59716 .43529 .59068 .42728 .57646 Metetra .661 .64 .818 r .42728 .57646 .43529 .59068 .44931 .58439 .4413 .57102 Metetra .653 .65 .834 r .4413 .57102 .44931 .58439 .46338 .5784 .45538 .56613 Metetra .636 .662 .858 r .45538 .56613 .46338 .5784 .47752 .57297 .46952 .56215 Metetra .592 .673 .896 r .46952 .56215 .47752 .57297 .49171 .56869 .48373 .55979 Metetra .438 .651 .949 r .48373 .55979 .49171 .56869 .50597 .56735 .49801 .56071 Metetra 0 .233 .692 r .49801 .56071 .50597 .56735 .52033 .57792 .5124 .56996 Metetra .912 .51 .139 r .5124 .56996 .52033 .57792 .53401 .32224 .52704 .61349 Metetra 0 0 .301 r .52704 .61349 .53401 .32224 .54887 .49315 .54023 .30803 Metetra .265 .133 .507 r .54023 .30803 .54887 .49315 .5634 .503 .55483 .40511 Metetra .356 .223 .558 r .55483 .40511 .5634 .503 .57795 .50138 .56962 .44364 Metetra .49 .35 .617 r .56962 .44364 .57795 .50138 .59255 .49686 .58429 .45183 Metetra .547 .41 .646 r .58429 .45183 .59255 .49686 .60721 .49114 .59898 .45222 Metetra .577 .444 .663 r .59898 .45222 .60721 .49114 .62192 .48482 .61372 .44944 Metetra .595 .466 .674 r .61372 .44944 .62192 .48482 .6367 .47813 .6285 .44506 Metetra .607 .481 .683 r .6285 .44506 .6367 .47813 .65153 .4712 .64334 .43973 Metetra .616 .492 .689 r .64334 .43973 .65153 .4712 .66643 .46411 .65824 .43381 Metetra .622 .501 .694 r .65824 .43381 .66643 .46411 .68138 .45688 .6732 .42748 Metetra .627 .508 .698 r .6732 .42748 .68138 .45688 .6964 .44956 .68822 .42084 Metetra .63 .513 .702 r .68822 .42084 .6964 .44956 .71148 .44215 .7033 .41399 Metetra .633 .518 .705 r .7033 .41399 .71148 .44215 .72662 .43466 .71845 .40696 Metetra .636 .522 .707 r .71845 .40696 .72662 .43466 .74183 .42711 .73365 .39978 Metetra .638 .525 .709 r .73365 .39978 .74183 .42711 .7571 .41951 .74892 .39248 Metetra .64 .528 .711 r .74892 .39248 .7571 .41951 .77243 .41185 .76425 .38508 Metetra .641 .531 .713 r .76425 .38508 .77243 .41185 .78783 .40414 .77965 .37759 Metetra .642 .533 .714 r .77965 .37759 .78783 .40414 .80329 .39638 .79511 .37002 Metetra .67 .605 .774 r .2287 .64944 .23682 .66635 .25007 .65976 .24195 .64297 Metetra .67 .606 .775 r .24195 .64297 .25007 .65976 .26338 .65317 .25526 .63651 Metetra .67 .608 .777 r .25526 .63651 .26338 .65317 .27675 .64657 .26862 .63007 Metetra .67 .61 .78 r .26862 .63007 .27675 .64657 .29016 .63998 .28203 .62364 Metetra .67 .613 .782 r .28203 .62364 .29016 .63998 .30363 .63339 .29549 .61725 Metetra .67 .615 .785 r .29549 .61725 .30363 .63339 .31715 .62682 .30901 .61089 Metetra .67 .618 .788 r .30901 .61089 .31715 .62682 .33073 .62027 .32259 .60458 Metetra .67 .622 .792 r .32259 .60458 .33073 .62027 .34435 .61374 .33621 .59834 Metetra .67 .626 .796 r .33621 .59834 .34435 .61374 .35804 .60726 .34989 .59218 Metetra .669 .63 .801 r .34989 .59218 .35804 .60726 .37177 .60084 .36363 .58614 Metetra .668 .635 .807 r .36363 .58614 .37177 .60084 .38557 .59451 .37742 .58024 Metetra .666 .64 .815 r .37742 .58024 .38557 .59451 .39941 .5883 .39127 .57454 Metetra .663 .647 .824 r .39127 .57454 .39941 .5883 .41332 .58226 .40518 .56909 Metetra .658 .655 .836 r .40518 .56909 .41332 .58226 .42728 .57646 .41915 .56401 Metetra .649 .664 .851 r .41915 .56401 .42728 .57646 .4413 .57102 .43317 .55943 Metetra .633 .674 .872 r .43317 .55943 .4413 .57102 .45538 .56613 .44726 .55559 Metetra .601 .684 .9 r .44726 .55559 .45538 .56613 .46952 .56215 .46141 .55287 Metetra .526 .684 .938 r .46141 .55287 .46952 .56215 .48373 .55979 .47564 .55198 Metetra .315 .621 .958 r .47564 .55198 .48373 .55979 .49801 .56071 .48995 .55432 Metetra 0 .242 .692 r .48995 .55432 .49801 .56071 .5124 .56996 .50437 .56325 Metetra .818 .349 0 r .50437 .56325 .5124 .56996 .52704 .61349 .51897 .589 Metetra .944 .619 .187 r .51897 .589 .52704 .61349 .54023 .30803 .5342 .68577 Metetra 0 0 .31 r .5342 .68577 .54023 .30803 .55483 .40511 .54655 .2936 Metetra .545 .354 .572 r .54655 .2936 .55483 .40511 .56962 .44364 .56022 .29296 Metetra .273 .145 .517 r .56022 .29296 .56962 .44364 .58429 .45183 .57547 .37077 Metetra .423 .28 .581 r .57547 .37077 .58429 .45183 .59898 .45222 .59035 .39289 Metetra .495 .351 .614 r .59035 .39289 .59898 .45222 .61372 .44944 .60517 .40038 Metetra .536 .394 .635 r .60517 .40038 .61372 .44944 .6285 .44506 .62 .40189 Metetra .562 .423 .65 r .62 .40189 .6285 .44506 .64334 .43973 .63488 .40035 Metetra .58 .444 .661 r .63488 .40035 .64334 .43973 .65824 .43381 .6498 .39706 Metetra .592 .46 .669 r .6498 .39706 .65824 .43381 .6732 .42748 .66477 .39264 Metetra .602 .472 .676 r .66477 .39264 .6732 .42748 .68822 .42084 .6798 .38746 Metetra .609 .481 .681 r .6798 .38746 .68822 .42084 .7033 .41399 .69489 .38174 Metetra .614 .489 .686 r .69489 .38174 .7033 .41399 .71845 .40696 .71003 .37561 Metetra .619 .496 .69 r .71003 .37561 .71845 .40696 .73365 .39978 .72524 .36917 Metetra .623 .501 .693 r .72524 .36917 .73365 .39978 .74892 .39248 .74051 .36249 Metetra .626 .506 .696 r .74051 .36249 .74892 .39248 .76425 .38508 .75584 .3556 Metetra .629 .51 .699 r .75584 .3556 .76425 .38508 .77965 .37759 .77124 .34854 Metetra .631 .514 .701 r .77124 .34854 .77965 .37759 .79511 .37002 .7867 .34134 Metetra .671 .616 .784 r .22044 .63344 .2287 .64944 .24195 .64297 .23369 .62712 Metetra .671 .618 .787 r .23369 .62712 .24195 .64297 .25526 .63651 .247 .62082 Metetra .671 .62 .789 r .247 .62082 .25526 .63651 .26862 .63007 .26035 .61455 Metetra .671 .623 .792 r .26035 .61455 .26862 .63007 .28203 .62364 .27376 .60832 Metetra .671 .626 .795 r .27376 .60832 .28203 .62364 .29549 .61725 .28723 .60215 Metetra .671 .629 .799 r .28723 .60215 .29549 .61725 .30901 .61089 .30074 .59604 Metetra .67 .632 .803 r .30074 .59604 .30901 .61089 .32259 .60458 .31432 .59 Metetra .669 .636 .808 r .31432 .59 .32259 .60458 .33621 .59834 .32794 .58407 Metetra .668 .641 .813 r .32794 .58407 .33621 .59834 .34989 .59218 .34162 .57827 Metetra .667 .646 .82 r .34162 .57827 .34989 .59218 .36363 .58614 .35536 .57263 Metetra .664 .651 .827 r .35536 .57263 .36363 .58614 .37742 .58024 .36916 .56719 Metetra .66 .658 .836 r .36916 .56719 .37742 .58024 .39127 .57454 .38301 .56201 Metetra .655 .665 .848 r .38301 .56201 .39127 .57454 .40518 .56909 .39692 .55717 Metetra .646 .673 .862 r .39692 .55717 .40518 .56909 .41915 .56401 .4109 .55278 Metetra .631 .681 .879 r .4109 .55278 .41915 .56401 .43317 .55943 .42493 .54901 Metetra .605 .69 .902 r .42493 .54901 .43317 .55943 .44726 .55559 .43903 .5461 Metetra .557 .693 .931 r .43903 .5461 .44726 .55559 .46141 .55287 .4532 .54444 Metetra .455 .677 .96 r .4532 .54444 .46141 .55287 .47564 .55198 .46745 .54467 Metetra .216 .581 .944 r .46745 .54467 .47564 .55198 .48995 .55432 .48178 .54799 Metetra 0 .245 .691 r .48178 .54799 .48995 .55432 .50437 .56325 .49623 .55679 Metetra .735 .233 0 r .49623 .55679 .50437 .56325 .51897 .589 .51085 .57678 Metetra .907 .518 .094 r .51085 .57678 .51897 .589 .5342 .68577 .52582 .6258 Metetra .904 .637 .133 r .52582 .6258 .5342 .68577 .54655 .2936 .54213 .8018 Metetra 0 0 .318 r .54213 .8018 .54655 .2936 .56022 .29296 .55296 .27894 Metetra .657 .636 .817 r .55296 .27894 .56022 .29296 .57547 .37077 .5667 .27373 Metetra .488 .316 .574 r .5667 .27373 .57547 .37077 .59035 .39289 .58089 .28603 Metetra .366 .224 .553 r .58089 .28603 .59035 .39289 .60517 .40038 .59606 .3254 Metetra .448 .302 .589 r .59606 .3254 .60517 .40038 .62 .40189 .61106 .34186 Metetra .497 .351 .612 r .61106 .34186 .62 .40189 .63488 .40035 .62603 .34885 Metetra .53 .385 .629 r .62603 .34885 .63488 .40035 .6498 .39706 .64101 .35099 Metetra .552 .41 .642 r .64101 .35099 .6498 .39706 .66477 .39264 .65602 .35032 Metetra .568 .429 .652 r .65602 .35032 .66477 .39264 .6798 .38746 .67108 .34787 Metetra .581 .444 .66 r .67108 .34787 .6798 .38746 .69489 .38174 .68619 .34421 Metetra .59 .456 .666 r .68619 .34421 .69489 .38174 .71003 .37561 .70135 .3397 Metetra .598 .466 .672 r .70135 .3397 .71003 .37561 .72524 .36917 .71657 .33454 Metetra .604 .474 .677 r .71657 .33454 .72524 .36917 .74051 .36249 .73185 .3289 Metetra .609 .481 .681 r .73185 .3289 .74051 .36249 .75584 .3556 .74719 .32288 Metetra .614 .487 .684 r .74719 .32288 .75584 .3556 .77124 .34854 .76259 .31655 Metetra .617 .492 .688 r .76259 .31655 .77124 .34854 .7867 .34134 .77805 .30996 Metetra .671 .626 .795 r .21206 .61821 .22044 .63344 .23369 .62712 .2253 .61205 Metetra .671 .628 .798 r .2253 .61205 .23369 .62712 .247 .62082 .23861 .60593 Metetra .671 .631 .801 r .23861 .60593 .247 .62082 .26035 .61455 .25196 .59986 Metetra .671 .634 .804 r .25196 .59986 .26035 .61455 .27376 .60832 .26537 .59385 Metetra .67 .637 .808 r .26537 .59385 .27376 .60832 .28723 .60215 .27883 .58791 Metetra .669 .641 .812 r .27883 .58791 .28723 .60215 .30074 .59604 .29235 .58207 Metetra .668 .645 .817 r .29235 .58207 .30074 .59604 .31432 .59 .30592 .57633 Metetra .667 .649 .823 r .30592 .57633 .31432 .59 .32794 .58407 .31955 .57073 Metetra .665 .654 .829 r .31955 .57073 .32794 .58407 .34162 .57827 .33323 .56529 Metetra .662 .659 .837 r .33323 .56529 .34162 .57827 .35536 .57263 .34697 .56005 Metetra .657 .665 .846 r .34697 .56005 .35536 .57263 .36916 .56719 .36077 .55507 Metetra .651 .672 .856 r .36077 .55507 .36916 .56719 .38301 .56201 .37463 .5504 Metetra .643 .679 .869 r .37463 .5504 .38301 .56201 .39692 .55717 .38855 .54614 Metetra .629 .686 .884 r .38855 .54614 .39692 .55717 .4109 .55278 .40253 .54241 Metetra .608 .693 .903 r .40253 .54241 .4109 .55278 .42493 .54901 .41658 .53937 Metetra .572 .697 .926 r .41658 .53937 .42493 .54901 .43903 .5461 .43069 .53728 Metetra .509 .693 .951 r .43069 .53728 .43903 .5461 .4532 .54444 .44488 .5365 Metetra .387 .66 .967 r .44488 .5365 .4532 .54444 .46745 .54467 .45915 .53762 Metetra .141 .544 .923 r .45915 .53762 .46745 .54467 .48178 .54799 .47351 .54164 Metetra 0 .247 .691 r .47351 .54164 .48178 .54799 .49623 .55679 .48799 .55038 Metetra .669 .15 0 r .48799 .55038 .49623 .55679 .51085 .57678 .50263 .56754 Metetra .86 .429 .001 r .50263 .56754 .51085 .57678 .52582 .6258 .51754 .60207 Metetra .917 .584 .117 r .51754 .60207 .52582 .6258 .54213 .8018 .53308 .68244 Metetra 0 0 .421 r .53308 .68244 .54213 .8018 .55296 .27894 .54987 .79543 Metetra 0 0 .318 r .54987 .79543 .55296 .27894 .5667 .27373 .55948 .26404 Metetra .673 .727 .89 r .55948 .26404 .5667 .27373 .58089 .28603 .57334 .25875 Metetra .615 .503 .702 r .57334 .25875 .58089 .28603 .59606 .3254 .58729 .25344 Metetra .558 .38 .596 r .58729 .25344 .59606 .3254 .61106 .34186 .60137 .25034 Metetra .406 .26 .568 r .60137 .25034 .61106 .34186 .62603 .34885 .61662 .27728 Metetra .461 .313 .593 r .61662 .27728 .62603 .34885 .64101 .35099 .63175 .29075 Metetra .499 .351 .611 r .63175 .29075 .64101 .35099 .65602 .35032 .64687 .29729 Metetra .525 .379 .625 r .64687 .29729 .65602 .35032 .67108 .34787 .66199 .29979 Metetra .545 .401 .636 r .66199 .29979 .67108 .34787 .68619 .34421 .67715 .29972 Metetra .56 .418 .645 r .67715 .29972 .68619 .34421 .70135 .3397 .69235 .29791 Metetra .572 .432 .653 r .69235 .29791 .70135 .3397 .71657 .33454 .70759 .29487 Metetra .581 .444 .659 r .70759 .29487 .71657 .33454 .73185 .3289 .72289 .29091 Metetra .589 .454 .664 r .72289 .29091 .73185 .3289 .74719 .32288 .73825 .28626 Metetra .596 .462 .669 r .73825 .28626 .74719 .32288 .76259 .31655 .75366 .28106 Metetra .601 .469 .673 r .75366 .28106 .76259 .31655 .77805 .30996 .76914 .27542 Metetra .671 .635 .805 r .20354 .60366 .21206 .61821 .2253 .61205 .21679 .59767 Metetra .671 .638 .808 r .21679 .59767 .2253 .61205 .23861 .60593 .23009 .59174 Metetra .67 .641 .812 r .23009 .59174 .23861 .60593 .25196 .59986 .24344 .58588 Metetra .669 .644 .816 r .24344 .58588 .25196 .59986 .26537 .59385 .25685 .58009 Metetra .668 .647 .82 r .25685 .58009 .26537 .59385 .27883 .58791 .27031 .57441 Metetra .667 .651 .825 r .27031 .57441 .27883 .58791 .29235 .58207 .28383 .56883 Metetra .665 .655 .831 r .28383 .56883 .29235 .58207 .30592 .57633 .2974 .56339 Metetra .663 .66 .837 r .2974 .56339 .30592 .57633 .31955 .57073 .31103 .55812 Metetra .659 .665 .844 r .31103 .55812 .31955 .57073 .33323 .56529 .32472 .55304 Metetra .655 .671 .853 r .32472 .55304 .33323 .56529 .34697 .56005 .33846 .54821 Metetra .649 .676 .863 r .33846 .54821 .34697 .56005 .36077 .55507 .35227 .54367 Metetra .64 .683 .874 r .35227 .54367 .36077 .55507 .37463 .5504 .36613 .5395 Metetra .628 .689 .888 r .36613 .5395 .37463 .5504 .38855 .54614 .38006 .53579 Metetra .61 .695 .904 r .38006 .53579 .38855 .54614 .40253 .54241 .39405 .53266 Metetra .582 .699 .923 r .39405 .53266 .40253 .54241 .41658 .53937 .40811 .53028 Metetra .537 .699 .944 r .40811 .53028 .41658 .53937 .43069 .53728 .42224 .5289 Metetra .461 .686 .963 r .42224 .5289 .43069 .53728 .44488 .5365 .43645 .52886 Metetra .325 .639 .965 r .43645 .52886 .44488 .5365 .45915 .53762 .45074 .5307 Metetra .083 .512 .902 r .45074 .5307 .45915 .53762 .47351 .54164 .46513 .53525 Metetra 0 .248 .691 r .46513 .53525 .47351 .54164 .48799 .55038 .47964 .54396 Metetra .618 .089 0 r .47964 .54396 .48799 .55038 .50263 .56754 .4943 .55944 Metetra .814 .354 0 r .4943 .55944 .50263 .56754 .51754 .60207 .50921 .58711 Metetra .898 .52 .069 r .50921 .58711 .51754 .60207 .53308 .68244 .52454 .64023 Metetra .893 .605 .097 r .52454 .64023 .53308 .68244 .54987 .79543 .54094 .76201 Metetra .197 .227 .666 r .54094 .76201 .54987 .79543 .55948 .26404 .55772 .7824 Metetra 0 0 .318 r .55772 .7824 .55948 .26404 .57334 .25875 .5661 .24891 Metetra .673 .727 .89 r .58009 .24354 .58729 .25344 .60137 .25034 .59417 .23813 Metetra .665 .677 .851 r .59417 .23813 .60137 .25034 .61662 .27728 .60832 .2327 Metetra .588 .433 .639 r .60832 .2327 .61662 .27728 .63175 .29075 .62256 .22723 Metetra .535 .371 .605 r .62256 .22723 .63175 .29075 .64687 .29729 .63715 .22808 Metetra .469 .32 .596 r .63715 .22808 .64687 .29729 .66199 .29979 .65243 .23962 Metetra .5 .351 .61 r .65243 .23962 .66199 .29979 .67715 .29972 .66769 .24574 Metetra .522 .375 .622 r .66769 .24574 .67715 .29972 .69235 .29791 .68296 .24841 Metetra .54 .394 .632 r .68296 .24841 .69235 .29791 .70759 .29487 .69826 .24875 Metetra .554 .41 .64 r .69826 .24875 .70759 .29487 .72289 .29091 .7136 .24742 Metetra .565 .423 .647 r .7136 .24742 .72289 .29091 .73825 .28626 .72899 .24486 Metetra .574 .434 .653 r .72899 .24486 .73825 .28626 .75366 .28106 .74443 .24137 Metetra .582 .444 .658 r .74443 .24137 .75366 .28106 .76914 .27542 .75992 .23714 Metetra .67 .643 .815 r .1949 .58968 .20354 .60366 .21679 .59767 .20814 .58388 Metetra .669 .646 .818 r .20814 .58388 .21679 .59767 .23009 .59174 .22144 .57814 Metetra .668 .65 .822 r .22144 .57814 .23009 .59174 .24344 .58588 .2348 .57249 Metetra .667 .653 .827 r .2348 .57249 .24344 .58588 .25685 .58009 .2482 .56694 Metetra .665 .657 .832 r .2482 .56694 .25685 .58009 .27031 .57441 .26167 .56151 Metetra .663 .661 .837 r .26167 .56151 .27031 .57441 .28383 .56883 .27518 .55621 Metetra .661 .665 .844 r .27518 .55621 .28383 .56883 .2974 .56339 .28876 .55107 Metetra .657 .67 .851 r .28876 .55107 .2974 .56339 .31103 .55812 .30239 .54612 Metetra .652 .675 .859 r .30239 .54612 .31103 .55812 .32472 .55304 .31608 .5414 Metetra .646 .68 .868 r .31608 .5414 .32472 .55304 .33846 .54821 .32983 .53696 Metetra .638 .686 .878 r .32983 .53696 .33846 .54821 .35227 .54367 .34364 .53285 Metetra .627 .691 .891 r .34364 .53285 .35227 .54367 .36613 .5395 .35751 .52914 Metetra .611 .697 .905 r .35751 .52914 .36613 .5395 .38006 .53579 .37145 .52594 Metetra .588 .701 .921 r .37145 .52594 .38006 .53579 .39405 .53266 .38546 .52336 Metetra .554 .702 .939 r .38546 .52336 .39405 .53266 .40811 .53028 .39953 .52157 Metetra .501 .696 .956 r .39953 .52157 .40811 .53028 .42224 .5289 .41368 .52081 Metetra .414 .674 .969 r .41368 .52081 .42224 .5289 .43645 .52886 .42791 .52141 Metetra .27 .616 .958 r .42791 .52141 .43645 .52886 .45074 .5307 .44222 .52383 Metetra .038 .485 .883 r .44222 .52383 .45074 .5307 .46513 .53525 .45664 .5288 Metetra 0 .249 .691 r .45664 .5288 .46513 .53525 .47964 .54396 .47118 .53749 Metetra .577 .043 0 r .47118 .53749 .47964 .54396 .4943 .55944 .48587 .55186 Metetra .771 .29 0 r .48587 .55186 .4943 .55944 .50921 .58711 .50078 .57557 Metetra .871 .46 .013 r .50078 .57557 .50921 .58711 .52454 .64023 .51603 .61623 Metetra .902 .566 .084 r .51603 .61623 .52454 .64023 .54094 .76201 .53195 .69279 Metetra 0 0 .38 r .53195 .69279 .54094 .76201 .55772 .7824 .54888 .7738 Metetra .623 .782 .958 r .54888 .7738 .55772 .7824 .5661 .24891 .56572 .7691 Metetra 0 0 .318 r .56572 .7691 .5661 .24891 .58009 .24354 .57283 .23353 Metetra .673 .727 .89 r .61545 .21706 .62256 .22723 .63715 .22808 .62983 .2115 Metetra .649 .609 .795 r .62983 .2115 .63715 .22808 .65243 .23962 .64428 .20591 Metetra .603 .471 .674 r .64428 .20591 .65243 .23962 .66769 .24574 .65882 .20029 Metetra .586 .431 .637 r .65882 .20029 .66769 .24574 .68296 .24841 .67344 .19464 Metetra .543 .388 .621 r .67344 .19464 .68296 .24841 .69826 .24875 .68849 .19421 Metetra .52 .372 .62 r .68849 .19421 .69826 .24875 .7136 .24742 .70391 .19694 Metetra .536 .389 .629 r .70391 .19694 .7136 .24742 .72899 .24486 .71936 .19754 Metetra .548 .404 .636 r .71936 .19754 .72899 .24486 .74443 .24137 .73484 .19655 Metetra .559 .416 .643 r .73484 .19655 .74443 .24137 .75992 .23714 .75037 .19437 Metetra .668 .651 .824 r .18613 .57621 .1949 .58968 .20814 .58388 .19937 .57059 Metetra .667 .654 .828 r .19937 .57059 .20814 .58388 .22144 .57814 .21267 .56506 Metetra .666 .658 .833 r .21267 .56506 .22144 .57814 .2348 .57249 .22602 .55963 Metetra .664 .661 .838 r .22602 .55963 .2348 .57249 .2482 .56694 .23943 .55431 Metetra .661 .665 .843 r .23943 .55431 .2482 .56694 .26167 .56151 .2529 .54913 Metetra .659 .669 .849 r .2529 .54913 .26167 .56151 .27518 .55621 .26642 .5441 Metetra .655 .674 .856 r .26642 .5441 .27518 .55621 .28876 .55107 .27999 .53925 Metetra .65 .678 .863 r .27999 .53925 .28876 .55107 .30239 .54612 .29363 .53463 Metetra .644 .683 .872 r .29363 .53463 .30239 .54612 .31608 .5414 .30733 .53025 Metetra .636 .688 .882 r .30733 .53025 .31608 .5414 .32983 .53696 .32108 .52618 Metetra .626 .693 .893 r .32108 .52618 .32983 .53696 .34364 .53285 .3349 .52248 Metetra .612 .698 .905 r .3349 .52248 .34364 .53285 .35751 .52914 .34878 .51921 Metetra .593 .702 .919 r .34878 .51921 .35751 .52914 .37145 .52594 .36273 .51647 Metetra .565 .704 .935 r .36273 .51647 .37145 .52594 .38546 .52336 .37675 .5144 Metetra .525 .701 .951 r .37675 .5144 .38546 .52336 .39953 .52157 .39084 .51314 Metetra .464 .69 .965 r .39084 .51314 .39953 .52157 .41368 .52081 .405 .51293 Metetra .37 .66 .969 r .405 .51293 .41368 .52081 .42791 .52141 .41925 .51406 Metetra .223 .594 .948 r .41925 .51406 .42791 .52141 .44222 .52383 .43359 .51697 Metetra .003 .463 .867 r .43359 .51697 .44222 .52383 .45664 .5288 .44804 .52228 Metetra 0 .249 .691 r .44804 .52228 .45664 .5288 .47118 .53749 .4626 .53096 Metetra .544 .008 0 r .4626 .53096 .47118 .53749 .48587 .55186 .47732 .54454 Metetra .732 .236 0 r .47732 .54454 .48587 .55186 .50078 .57557 .49225 .56568 Metetra .841 .405 0 r .49225 .56568 .50078 .57557 .51603 .61623 .50747 .59931 Metetra .891 .52 .053 r .50747 .59931 .51603 .61623 .53195 .69279 .52318 .65587 Metetra .885 .586 .075 r .52318 .65587 .53195 .69279 .54888 .7738 .53991 .76183 Metetra .538 .671 .924 r .53991 .76183 .54888 .7738 .56572 .7691 .55684 .76034 Metetra .623 .782 .958 r .55684 .76034 .56572 .7691 .57283 .23353 .57388 .75555 Metetra 0 0 .318 r .57388 .75555 .57283 .23353 .58695 .22807 .57966 .21791 Metetra .673 .727 .89 r .66649 .18411 .67344 .19464 .68849 .19421 .68126 .17837 Metetra .653 .625 .809 r .68126 .17837 .68849 .19421 .70391 .19694 .69611 .17259 Metetra .624 .53 .727 r .69611 .17259 .70391 .19694 .71936 .19754 .71105 .16677 Metetra .608 .488 .69 r .71105 .16677 .71936 .19754 .73484 .19655 .72608 .16092 Metetra .6 .464 .669 r .72608 .16092 .73484 .19655 .75037 .19437 .7412 .15504 Metetra .666 .659 .833 r .17724 .56318 .18613 .57621 .19937 .57059 .19048 .55775 Metetra .664 .662 .838 r .19048 .55775 .19937 .57059 .21267 .56506 .20378 .55242 Metetra .662 .665 .842 r .20378 .55242 .21267 .56506 .22602 .55963 .21713 .5472 Metetra .66 .669 .848 r .21713 .5472 .22602 .55963 .23943 .55431 .23054 .54212 Metetra .657 .673 .854 r .23054 .54212 .23943 .55431 .2529 .54913 .244 .53718 Metetra .653 .677 .86 r .244 .53718 .2529 .54913 .26642 .5441 .25753 .53242 Metetra .648 .681 .867 r .25753 .53242 .26642 .5441 .27999 .53925 .27111 .52786 Metetra .643 .686 .875 r .27111 .52786 .27999 .53925 .29363 .53463 .28475 .52354 Metetra .635 .69 .884 r .28475 .52354 .29363 .53463 .30733 .53025 .29845 .5195 Metetra .625 .695 .894 r .29845 .5195 .30733 .53025 .32108 .52618 .31221 .51579 Metetra .613 .699 .905 r .31221 .51579 .32108 .52618 .3349 .52248 .32604 .51246 Metetra .596 .703 .918 r .32604 .51246 .3349 .52248 .34878 .51921 .33993 .50961 Metetra .573 .705 .931 r .33993 .50961 .34878 .51921 .36273 .51647 .35389 .50731 Metetra .541 .704 .946 r .35389 .50731 .36273 .51647 .37675 .5144 .36792 .50569 Metetra .495 .698 .959 r .36792 .50569 .37675 .5144 .39084 .51314 .38203 .50491 Metetra .428 .681 .969 r .38203 .50491 .39084 .51314 .405 .51293 .39621 .50518 Metetra .329 .645 .967 r .39621 .50518 .405 .51293 .41925 .51406 .41048 .50678 Metetra .181 .573 .937 r .41048 .50678 .41925 .51406 .43359 .51697 .42485 .5101 Metetra 0 .444 .853 r .42485 .5101 .43359 .51697 .44804 .52228 .43932 .51569 Metetra 0 .249 .691 r .43932 .51569 .44804 .52228 .4626 .53096 .45392 .52436 Metetra .518 0 0 r .45392 .52436 .4626 .53096 .47732 .54454 .46866 .53736 Metetra .698 .19 0 r .46866 .53736 .47732 .54454 .49225 .56568 .4836 .55669 Metetra .811 .355 0 r .4836 .55669 .49225 .56568 .50747 .59931 .49881 .58584 Metetra .873 .475 .016 r .49881 .58584 .50747 .59931 .52318 .65587 .51443 .63135 Metetra .892 .555 .064 r .51443 .63135 .52318 .65587 .53991 .76183 .53076 .70729 Metetra .019 .035 .533 r .53076 .70729 .53991 .76183 .55684 .76034 .54785 .75147 Metetra .623 .782 .958 r .56496 .74662 .57388 .75555 .57966 .21791 .58219 .74173 Metetra 0 0 .318 r .58219 .74173 .57966 .21791 .59393 .21236 .58661 .20202 Metetra .663 .665 .842 r .16822 .55054 .17724 .56318 .19048 .55775 .18146 .5453 Metetra .661 .668 .847 r .18146 .5453 .19048 .55775 .20378 .55242 .19476 .54016 Metetra .658 .672 .852 r .19476 .54016 .20378 .55242 .21713 .5472 .20811 .53516 Metetra .655 .676 .858 r .20811 .53516 .21713 .5472 .23054 .54212 .22152 .5303 Metetra .651 .679 .864 r .22152 .5303 .23054 .54212 .244 .53718 .23499 .52561 Metetra .647 .683 .87 r .23499 .52561 .244 .53718 .25753 .53242 .24852 .52111 Metetra .641 .687 .878 r .24852 .52111 .25753 .53242 .27111 .52786 .2621 .51683 Metetra .634 .692 .886 r .2621 .51683 .27111 .52786 .28475 .52354 .27575 .51281 Metetra .625 .696 .895 r .27575 .51281 .28475 .52354 .29845 .5195 .28945 .50908 Metetra .613 .7 .906 r .28945 .50908 .29845 .5195 .31221 .51579 .30322 .50571 Metetra .598 .703 .917 r .30322 .50571 .31221 .51579 .32604 .51246 .31706 .50274 Metetra .579 .705 .929 r .31706 .50274 .32604 .51246 .33993 .50961 .33096 .50026 Metetra .552 .706 .942 r .33096 .50026 .33993 .50961 .35389 .50731 .34494 .49836 Metetra .516 .702 .955 r .34494 .49836 .35389 .50731 .36792 .50569 .35898 .49716 Metetra .466 .693 .966 r .35898 .49716 .36792 .50569 .38203 .50491 .3731 .49682 Metetra .394 .671 .971 r .3731 .49682 .38203 .50491 .39621 .50518 .38731 .49751 Metetra .291 .629 .962 r .38731 .49751 .39621 .50518 .41048 .50678 .4016 .49952 Metetra .145 .553 .926 r .4016 .49952 .41048 .50678 .42485 .5101 .41599 .50319 Metetra 0 .428 .84 r .41599 .50319 .42485 .5101 .43932 .51569 .43049 .50901 Metetra 0 .25 .691 r .43049 .50901 .43932 .51569 .45392 .52436 .44511 .51768 Metetra .496 0 0 r .44511 .51768 .45392 .52436 .46866 .53736 .45988 .53023 Metetra .667 .152 0 r .45988 .53023 .46866 .53736 .4836 .55669 .47485 .54823 Metetra .783 .311 0 r .47485 .54823 .4836 .55669 .49881 .58584 .49006 .57428 Metetra .853 .432 0 r .49006 .57428 .49881 .58584 .51443 .63135 .50563 .61287 Metetra .886 .52 .043 r .50563 .61287 .51443 .63135 .53076 .70729 .52175 .67258 Metetra .727 .447 0 r .52175 .67258 .53076 .70729 .54785 .75147 .53875 .74248 Metetra .623 .782 .958 r .57325 .73262 .58219 .74173 .58661 .20202 .59068 .72763 Metetra 0 0 .318 r .59068 .72763 .58661 .20202 .60101 .19638 .59368 .18588 Metetra .659 .671 .851 r .15907 .53823 .16822 .55054 .18146 .5453 .17231 .53317 Metetra .656 .675 .856 r .17231 .53317 .18146 .5453 .19476 .54016 .18561 .52824 Metetra .653 .678 .861 r .18561 .52824 .19476 .54016 .20811 .53516 .19897 .52344 Metetra .65 .682 .867 r .19897 .52344 .20811 .53516 .22152 .5303 .21238 .5188 Metetra .645 .685 .873 r .21238 .5188 .22152 .5303 .23499 .52561 .22585 .51435 Metetra .64 .689 .88 r .22585 .51435 .23499 .52561 .24852 .52111 .23938 .5101 Metetra .633 .693 .888 r .23938 .5101 .24852 .52111 .2621 .51683 .25297 .50609 Metetra .624 .697 .896 r .25297 .50609 .2621 .51683 .27575 .51281 .26662 .50235 Metetra .614 .7 .906 r .26662 .50235 .27575 .51281 .28945 .50908 .28034 .49893 Metetra .6 .703 .916 r .28034 .49893 .28945 .50908 .30322 .50571 .29412 .49588 Metetra .583 .706 .927 r .29412 .49588 .30322 .50571 .31706 .50274 .30796 .49325 Metetra .561 .707 .938 r .30796 .49325 .31706 .50274 .33096 .50026 .32188 .49112 Metetra .531 .705 .95 r .32188 .49112 .33096 .50026 .34494 .49836 .33586 .4896 Metetra .491 .699 .961 r .33586 .4896 .34494 .49836 .35898 .49716 .34992 .48878 Metetra .437 .686 .969 r .34992 .48878 .35898 .49716 .3731 .49682 .36406 .48882 Metetra .361 .66 .97 r .36406 .48882 .3731 .49682 .38731 .49751 .37828 .4899 Metetra .256 .613 .956 r .37828 .4899 .38731 .49751 .4016 .49952 .3926 .49227 Metetra .113 .535 .915 r .3926 .49227 .4016 .49952 .41599 .50319 .40701 .49624 Metetra 0 .414 .829 r .40701 .49624 .41599 .50319 .43049 .50901 .42153 .50226 Metetra 0 .25 .691 r .42153 .50226 .43049 .50901 .44511 .51768 .43619 .51092 Metetra .477 0 0 r .43619 .51092 .44511 .51768 .45988 .53023 .45099 .52311 Metetra .64 .119 0 r .45099 .52311 .45988 .53023 .47485 .54823 .46597 .54009 Metetra .756 .272 0 r .46597 .54009 .47485 .54823 .49006 .57428 .48119 .56388 Metetra .831 .393 0 r .48119 .56388 .49006 .57428 .50563 .61287 .49673 .59774 Metetra .874 .484 .015 r .49673 .59774 .50563 .61287 .52175 .67258 .51274 .64743 Metetra .885 .548 .052 r .51274 .64743 .52175 .67258 .53875 .74248 .52951 .72411 Metetra .4 .496 .842 r .52951 .72411 .53875 .74248 .55594 .73757 .54679 .7284 Metetra .623 .782 .958 r .5817 .71834 .59068 .72763 .59368 .18588 .59934 .71325 Metetra 0 0 .318 r .59934 .71325 .59368 .18588 .60822 .18014 .60086 .16946 Metetra .655 .677 .859 r .1498 .52622 .15907 .53823 .17231 .53317 .16304 .52134 Metetra .652 .68 .864 r .16304 .52134 .17231 .53317 .18561 .52824 .17634 .5166 Metetra .648 .683 .87 r .17634 .5166 .18561 .52824 .19897 .52344 .1897 .51201 Metetra .644 .687 .876 r .1897 .51201 .19897 .52344 .21238 .5188 .20312 .50759 Metetra .638 .69 .882 r .20312 .50759 .21238 .5188 .22585 .51435 .21659 .50336 Metetra .632 .694 .89 r .21659 .50336 .22585 .51435 .23938 .5101 .23012 .49936 Metetra .624 .697 .897 r .23012 .49936 .23938 .5101 .25297 .50609 .24372 .4956 Metetra .614 .701 .906 r .24372 .4956 .25297 .50609 .26662 .50235 .25738 .49214 Metetra .602 .704 .915 r .25738 .49214 .26662 .50235 .28034 .49893 .2711 .489 Metetra .587 .706 .925 r .2711 .489 .28034 .49893 .29412 .49588 .28488 .48625 Metetra .568 .707 .936 r .28488 .48625 .29412 .49588 .30796 .49325 .29874 .48394 Metetra .543 .707 .947 r .29874 .48394 .30796 .49325 .32188 .49112 .31267 .48214 Metetra .51 .703 .957 r .31267 .48214 .32188 .49112 .33586 .4896 .32666 .48096 Metetra .467 .694 .966 r .32666 .48096 .33586 .4896 .34992 .48878 .34074 .48049 Metetra .409 .678 .971 r .34074 .48049 .34992 .48878 .36406 .48882 .3549 .48088 Metetra .33 .648 .968 r .3549 .48088 .36406 .48882 .37828 .4899 .36914 .4823 Metetra .225 .598 .949 r .36914 .4823 .37828 .4899 .3926 .49227 .38347 .48499 Metetra .086 .519 .904 r .38347 .48499 .3926 .49227 .40701 .49624 .39791 .48923 Metetra 0 .403 .82 r .39791 .48923 .40701 .49624 .42153 .50226 .41246 .49541 Metetra 0 .25 .691 r .41246 .49541 .42153 .50226 .43619 .51092 .42714 .50408 Metetra .462 0 0 r .42714 .50408 .43619 .51092 .45099 .52311 .44197 .51597 Metetra .616 .09 0 r .44197 .51597 .45099 .52311 .46597 .54009 .45697 .53215 Metetra .731 .237 0 r .45697 .53215 .46597 .54009 .48119 .56388 .47221 .55422 Metetra .81 .356 0 r .47221 .55422 .48119 .56388 .49673 .59774 .48774 .58466 Metetra .859 .45 0 r .48774 .58466 .49673 .59774 .51274 .64743 .50367 .62761 Metetra .881 .519 .035 r .50367 .62761 .51274 .64743 .52951 .72411 .52023 .69037 Metetra 0 .071 .597 r .52023 .69037 .52951 .72411 .54679 .7284 .53753 .71912 Metetra .623 .782 .958 r .59032 .70377 .59934 .71325 .60086 .16946 .60817 .69858 Metetra 0 0 .318 r .60817 .69858 .60086 .16946 .61555 .16363 .60817 .15277 Metetra .65 .682 .867 r .1404 .51447 .1498 .52622 .16304 .52134 .15365 .50977 Metetra .647 .685 .872 r .15365 .50977 .16304 .52134 .17634 .5166 .16695 .50521 Metetra .642 .688 .878 r .16695 .50521 .17634 .5166 .1897 .51201 .18031 .50082 Metetra .637 .692 .884 r .18031 .50082 .1897 .51201 .20312 .50759 .19372 .49661 Metetra .631 .695 .891 r .19372 .49661 .20312 .50759 .21659 .50336 .2072 .4926 Metetra .624 .698 .898 r .2072 .4926 .21659 .50336 .23012 .49936 .22074 .48883 Metetra .615 .701 .906 r .22074 .48883 .23012 .49936 .24372 .4956 .23434 .48532 Metetra .604 .704 .915 r .23434 .48532 .24372 .4956 .25738 .49214 .248 .48212 Metetra .59 .706 .924 r .248 .48212 .25738 .49214 .2711 .489 .26173 .47925 Metetra .573 .708 .933 r .26173 .47925 .2711 .489 .28488 .48625 .27553 .47678 Metetra .551 .708 .943 r .27553 .47678 .28488 .48625 .29874 .48394 .2894 .47477 Metetra .524 .705 .953 r .2894 .47477 .29874 .48394 .31267 .48214 .30333 .47328 Metetra .489 .7 .963 r .30333 .47328 .31267 .48214 .32666 .48096 .31735 .47241 Metetra .443 .688 .969 r .31735 .47241 .32666 .48096 .34074 .48049 .33144 .47227 Metetra .382 .669 .972 r .33144 .47227 .34074 .48049 .3549 .48088 .34561 .47298 Metetra .301 .636 .965 r .34561 .47298 .3549 .48088 .36914 .4823 .35987 .47471 Metetra .196 .583 .942 r .35987 .47471 .36914 .4823 .38347 .48499 .37423 .47768 Metetra .061 .504 .894 r .37423 .47768 .38347 .48499 .39791 .48923 .38869 .48215 Metetra 0 .392 .812 r .38869 .48215 .39791 .48923 .41246 .49541 .40326 .48848 Metetra 0 .25 .691 r .40326 .48848 .41246 .49541 .42714 .50408 .41797 .49714 Metetra .448 0 0 r .41797 .49714 .42714 .50408 .44197 .51597 .43282 .50879 Metetra .595 .066 0 r .43282 .50879 .44197 .51597 .45697 .53215 .44785 .52431 Metetra .708 .206 0 r .44785 .52431 .45697 .53215 .47221 .55422 .4631 .54503 Metetra .788 .323 0 r .4631 .54503 .47221 .55422 .48774 .58466 .47863 .57291 Metetra .842 .417 0 r .47863 .57291 .48774 .58466 .50367 .62761 .49452 .61102 Metetra .873 .49 .014 r .49452 .61102 .50367 .62761 .52023 .69037 .51095 .66454 Metetra 0 0 .278 r .51095 .66454 .52023 .69037 .53753 .71912 .52814 .70971 Metetra .623 .782 .958 r .59912 .68889 .60817 .69858 .60817 .15277 .61719 .6836 Metetra 0 0 .318 r .61719 .6836 .60817 .15277 .623 .14683 .61559 .13579 Metetra .646 .686 .874 r .13088 .50293 .1404 .51447 .15365 .50977 .14412 .49841 Metetra .641 .69 .88 r .14412 .49841 .15365 .50977 .16695 .50521 .15743 .49404 Metetra .636 .693 .886 r .15743 .49404 .16695 .50521 .18031 .50082 .17079 .48984 Metetra .63 .696 .892 r .17079 .48984 .18031 .50082 .19372 .49661 .18421 .48583 Metetra .623 .699 .899 r .18421 .48583 .19372 .49661 .2072 .4926 .19769 .48204 Metetra .615 .702 .906 r .19769 .48204 .2072 .4926 .22074 .48883 .21123 .47849 Metetra .605 .704 .914 r .21123 .47849 .22074 .48883 .23434 .48532 .22484 .47522 Metetra .592 .706 .923 r .22484 .47522 .23434 .48532 .248 .48212 .23851 .47225 Metetra .577 .708 .932 r .23851 .47225 .248 .48212 .26173 .47925 .25224 .46965 Metetra .558 .708 .941 r .25224 .46965 .26173 .47925 .27553 .47678 .26605 .46745 Metetra .535 .707 .95 r .26605 .46745 .27553 .47678 .2894 .47477 .27993 .46571 Metetra .505 .703 .959 r .27993 .46571 .2894 .47477 .30333 .47328 .29388 .46451 Metetra .468 .695 .967 r .29388 .46451 .30333 .47328 .31735 .47241 .3079 .46394 Metetra .419 .682 .971 r .3079 .46394 .31735 .47241 .33144 .47227 .32201 .46409 Metetra .356 .659 .971 r .32201 .46409 .33144 .47227 .34561 .47298 .3362 .46509 Metetra .274 .624 .96 r .3362 .46509 .34561 .47298 .35987 .47471 .35048 .4671 Metetra .17 .569 .934 r .35048 .4671 .35987 .47471 .37423 .47768 .36486 .47032 Metetra .04 .49 .885 r .36486 .47032 .37423 .47768 .38869 .48215 .37934 .47499 Metetra 0 .383 .804 r .37934 .47499 .38869 .48215 .40326 .48848 .39394 .48145 Metetra 0 .25 .691 r .39394 .48145 .40326 .48848 .41797 .49714 .40867 .49012 Metetra .436 0 0 r .40867 .49012 .41797 .49714 .43282 .50879 .42355 .50155 Metetra .576 .044 0 r .42355 .50155 .43282 .50879 .44785 .52431 .43861 .51654 Metetra .686 .178 0 r .43861 .51654 .44785 .52431 .4631 .54503 .45387 .53617 Metetra .768 .292 0 r .45387 .53617 .4631 .54503 .47863 .57291 .4694 .56204 Metetra .825 .386 0 r .4694 .56204 .47863 .57291 .49452 .61102 .48527 .59654 Metetra .862 .461 0 r .48527 .59654 .49452 .61102 .51095 .66454 .5016 .6435 Metetra .836 .473 0 r .5016 .6435 .51095 .66454 .52814 .70971 .51863 .70018 Metetra .623 .782 .958 r .6081 .67372 .61719 .6836 .61559 .13579 .62639 .66831 Metetra 0 0 .318 r .62639 .66831 .61559 .13579 .63057 .12976 .62315 .11852 Metetra .64 .691 .881 r .12123 .4916 .13088 .50293 .14412 .49841 .13447 .48724 Metetra .635 .693 .887 r .13447 .48724 .14412 .49841 .15743 .49404 .14778 .48305 Metetra .63 .696 .893 r .14778 .48305 .15743 .49404 .17079 .48984 .16114 .47903 Metetra .623 .699 .899 r .16114 .47903 .17079 .48984 .18421 .48583 .17456 .47522 Metetra .615 .702 .906 r .17456 .47522 .18421 .48583 .19769 .48204 .18805 .47163 Metetra .606 .704 .914 r .18805 .47163 .19769 .48204 .21123 .47849 .20159 .4683 Metetra .594 .706 .922 r .20159 .4683 .21123 .47849 .22484 .47522 .21521 .46525 Metetra .581 .708 .93 r .21521 .46525 .22484 .47522 .23851 .47225 .22888 .46253 Metetra .564 .709 .938 r .22888 .46253 .23851 .47225 .25224 .46965 .24263 .46016 Metetra .544 .708 .947 r .24263 .46016 .25224 .46965 .26605 .46745 .25644 .45822 Metetra .518 .706 .956 r .25644 .45822 .26605 .46745 .27993 .46571 .27033 .45674 Metetra .487 .7 .963 r .27033 .45674 .27993 .46571 .29388 .46451 .28429 .45581 Metetra .447 .69 .969 r .28429 .45581 .29388 .46451 .3079 .46394 .29833 .4555 Metetra .396 .675 .972 r .29833 .4555 .3079 .46394 .32201 .46409 .31245 .45592 Metetra .331 .65 .969 r .31245 .45592 .32201 .46409 .3362 .46509 .32666 .45719 Metetra .249 .612 .955 r .32666 .45719 .3362 .46509 .35048 .4671 .34096 .45946 Metetra .146 .556 .927 r .34096 .45946 .35048 .4671 .36486 .47032 .35536 .4629 Metetra .021 .478 .876 r .35536 .4629 .36486 .47032 .37934 .47499 .36986 .46776 Metetra 0 .375 .798 r .36986 .46776 .37934 .47499 .39394 .48145 .38449 .47433 Metetra 0 .25 .691 r .38449 .47433 .39394 .48145 .40867 .49012 .39924 .483 Metetra .426 0 0 r .39924 .483 .40867 .49012 .42355 .50155 .41415 .49426 Metetra .559 .025 0 r .41415 .49426 .42355 .50155 .43861 .51654 .42923 .50879 Metetra .666 .153 0 r .42923 .50879 .43861 .51654 .45387 .53617 .44451 .52753 Metetra .748 .264 0 r .44451 .52753 .45387 .53617 .4694 .56204 .46005 .55178 Metetra .808 .357 0 r .46005 .55178 .4694 .56204 .48527 .59654 .4759 .58349 Metetra .849 .433 0 r .4759 .58349 .48527 .59654 .5016 .6435 .49218 .62557 Metetra .872 .494 .013 r .49218 .62557 .5016 .6435 .51863 .70018 .50904 .68273 Metetra .429 .538 .866 r .50904 .68273 .51863 .70018 .53627 .69496 .52672 .68523 Metetra .623 .782 .958 r .61727 .65822 .62639 .66831 .62315 .11852 .63579 .65269 Metetra 0 0 .318 r .63579 .65269 .62315 .11852 .63828 .11238 .63083 .10096 Metetra .635 .694 .888 r .11145 .48043 .12123 .4916 .13447 .48724 .12469 .47624 Metetra .629 .697 .894 r .12469 .47624 .13447 .48724 .14778 .48305 .138 .47222 Metetra .623 .7 .9 r .138 .47222 .14778 .48305 .16114 .47903 .15136 .46838 Metetra .615 .702 .906 r .15136 .46838 .16114 .47903 .17456 .47522 .16479 .46476 Metetra .607 .704 .913 r .16479 .46476 .17456 .47522 .18805 .47163 .17828 .46137 Metetra .596 .707 .921 r .17828 .46137 .18805 .47163 .20159 .4683 .19183 .45824 Metetra .584 .708 .928 r .19183 .45824 .20159 .4683 .21521 .46525 .20545 .4554 Metetra .569 .709 .936 r .20545 .4554 .21521 .46525 .22888 .46253 .21913 .4529 Metetra .551 .709 .945 r 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.42988 Metetra .387 .672 .972 r .25475 .42988 .26473 .43851 .2788 .43869 .26883 .43028 Metetra .332 .651 .969 r .26883 .43028 .2788 .43869 .29295 .43959 .283 .4314 Metetra .265 .62 .959 r .283 .4314 .29295 .43959 .30719 .44133 .29726 .43334 Metetra .183 .578 .939 r .29726 .43334 .30719 .44133 .32153 .44403 .31161 .43624 Metetra .087 .521 .905 r .31161 .43624 .32153 .44403 .33597 .44787 .32607 .44024 Metetra 0 .447 .853 r .32607 .44024 .33597 .44787 .35052 .45304 .34064 .44555 Metetra 0 .356 .782 r .34064 .44555 .35052 .45304 .36519 .4598 .35533 .45238 Metetra 0 .251 .691 r .35533 .45238 .36519 .4598 .37999 .46846 .37016 .46104 Metetra 0 .136 .586 r .37016 .46104 .37999 .46846 .39494 .47943 .38513 .47189 Metetra .517 0 0 r .38513 .47189 .39494 .47943 .41006 .49324 .40028 .48541 Metetra .615 .091 0 r .40028 .48541 .41006 .49324 .42539 .5106 .41562 .50222 Metetra .696 .192 0 r .41562 .50222 .42539 .5106 .44094 .53244 .43119 .52314 Metetra .759 .281 0 r .43119 .52314 .44094 .53244 .45679 .56011 .44704 .5493 Metetra .807 .357 0 r .44704 .5493 .45679 .56011 .473 .59548 .46323 .58227 Metetra .842 .422 0 r .46323 .58227 .473 .59548 .48968 .64137 .47986 .62432 Metetra .627 .225 0 r .47986 .62432 .48968 .64137 .50722 .66538 .49728 .65525 Metetra .623 .782 .958 r .64598 .60971 .65519 .62046 .64661 .0649 .6652 .60382 Metetra 0 0 .318 r .6652 .60382 .64661 .0649 .66221 .05843 .65471 .04639 Metetra .616 .703 .907 r .08131 .44774 .09149 .45852 .10474 .45464 .09456 .444 Metetra .609 .705 .912 r .09456 .444 .10474 .45464 .11804 .45094 .10787 .44046 Metetra .6 .707 .919 r .10787 .44046 .11804 .45094 .13141 .44745 .12124 .43712 Metetra .591 .708 .925 r .12124 .43712 .13141 .44745 .14484 .44418 .13467 .43402 Metetra .579 .709 .932 r .13467 .43402 .14484 .44418 .15834 .44115 .14817 .43117 Metetra .566 .71 .938 r .14817 .43117 .15834 .44115 .1719 .43841 .16174 .4286 Metetra .551 .71 .945 r .16174 .4286 .1719 .43841 .18553 .43597 .17537 .42635 Metetra .532 .708 .952 r .17537 .42635 .18553 .43597 .19923 .43388 .18908 .42445 Metetra .51 .706 .959 r .18908 .42445 .19923 .43388 .213 .43217 .20285 .42294 Metetra .484 .701 .965 r .20285 .42294 .213 .43217 .22684 .4309 .2167 .42186 Metetra .452 .693 .969 r .2167 .42186 .22684 .4309 .24076 .43012 .23063 .42128 Metetra .414 .682 .972 r .23063 .42128 .24076 .43012 .25475 .42988 .24464 .42125 Metetra .368 .666 .972 r .24464 .42125 .25475 .42988 .26883 .43028 .25873 .42185 Metetra .312 .643 .967 r .25873 .42185 .26883 .43028 .283 .4314 .27291 .42317 Metetra .245 .611 .955 r .27291 .42317 .283 .4314 .29726 .43334 .28719 .4253 Metetra .164 .568 .933 r .28719 .4253 .29726 .43334 .31161 .43624 .30156 .42837 Metetra .07 .511 .898 r .30156 .42837 .31161 .43624 .32607 .44024 .31603 .43253 Metetra 0 .439 .847 r .31603 .43253 .32607 .44024 .34064 .44555 .33062 .43795 Metetra 0 .351 .778 r .33062 .43795 .34064 .44555 .35533 .45238 .34533 .44486 Metetra 0 .251 .691 r .34533 .44486 .35533 .45238 .37016 .46104 .36018 .45351 Metetra 0 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.25957 m .66295 .02755 L s P p .002 w .11113 .25957 m .11595 .26449 L s P [(-1)] .10149 .24974 .98066 1 Mshowa p .002 w .23746 .20645 m .24204 .2116 L s P [(-0.5)] .22831 .19616 .88892 1 Mshowa p .002 w .3711 .15026 m .37539 .15565 L s P [(0)] .36251 .13949 .79718 1 Mshowa p .002 w .51269 .09073 m .51666 .09636 L s P [(0.5)] .50475 .07947 .70545 1 Mshowa p .002 w .66295 .02755 m .66656 .03342 L s P [(1)] .65575 .01581 .61371 1 Mshowa p .001 w .13584 .24918 m .13871 .25216 L s P p .001 w .16083 .23867 m .16366 .24168 L s P p .001 w .18609 .22805 m .1889 .23108 L s P p .001 w .21163 .21731 m .21441 .22037 L s P p .001 w .26359 .19547 m .2663 .19858 L s P p .001 w .29001 .18436 m .29269 .1875 L s P p .001 w .31673 .17312 m .31938 .17629 L s P p .001 w .34376 .16176 m .34637 .16496 L s P p .001 w .39876 .13863 m .4013 .14189 L s P p .001 w .42674 .12687 m .42924 .13015 L s P p .001 w .45505 .11496 m .45752 .11828 L s P p .001 w .4837 .10292 m .48612 .10626 L s P p .001 w .54202 .07839 m .54436 .0818 L s P p .001 w .57171 .06591 m .574 .06935 L s P p .001 w .60175 .05328 m .60401 .05674 L s P p .001 w .63217 .04049 m .63438 .04398 L s P P p p .002 w .02755 .78701 m .40586 1.05324 L s P p .002 w .02755 .78701 m .02862 .7802 L s P [(-1)] .02539 .80061 .15847 -1 Mshowa p .002 w .13834 .86497 m .13916 .85814 L s P [(-0.5)] .1367 .87865 .12018 -1 Mshowa p .002 w .23715 .93451 m .23775 .92765 L s P [(0)] .23595 .94823 .08756 -1 Mshowa p .002 w .32583 .99692 m .32624 .99005 L s P [(0.5)] .32502 1.01067 .05945 -1 Mshowa p .002 w .40586 1.05324 m .4061 1.04636 L s P [(1)] .40538 1.067 .03495 -1 Mshowa p .001 w .05077 .80335 m .05138 .79926 L s P p .001 w .07344 .8193 m .07402 .81521 L s P p .001 w .09558 .83488 m .09613 .83079 L s P p .001 w .1172 .8501 m .11773 .846 L s P p .001 w .159 .87951 m .15946 .8754 L s P p .001 w .17919 .89372 m .17963 .88961 L s P p .001 w .19894 .90762 m .19935 .90351 L s P p .001 w .21826 .92121 m .21864 .9171 L s P p .001 w .25565 .94753 m .25599 .94341 L s P p .001 w .27375 .96027 m .27406 .95615 L s P p .001 w .29148 .97274 m .29177 .96862 L s P p .001 w .30883 .98496 m .3091 .98083 L s P p .001 w .34249 1.00864 m .34271 1.00452 L s P p .001 w .35881 1.02013 m .35901 1.016 L s P p .001 w .37481 1.03138 m .37499 1.02726 L s P p .001 w .39049 1.04242 m .39065 1.03829 L s P P p p .002 w .11113 .25957 m .02755 .78701 L s P p .002 w .10406 .3042 m .11043 .30158 L s P [(-4)] .09132 .30944 1 -0.41119 Mshowa p .002 w .08916 .3982 m .09557 .39569 L s P [(-2)] .07634 .40322 1 -0.39157 Mshowa p .002 w .07317 .49909 m .07963 .4967 L s P [(0)] .06026 .50388 1 -0.37036 Mshowa p .002 w .05596 .60768 m .06247 .60542 L s P [(2)] .04295 .6122 1 -0.34736 Mshowa p .002 w .03739 .72486 m .04395 .72275 L s P [(4)] .02429 .72909 1 -0.32234 Mshowa p .001 w .10116 .32248 m .10499 .32092 L s P p .001 w .09822 .34102 m .10205 .33947 L s P p .001 w .09524 .35981 m .09908 .35828 L s P p .001 w .09222 .37887 m .09607 .37735 L s P p .001 w .08605 .4178 m .08991 .41631 L s P p .001 w .0829 .43769 m .08676 .43621 L s P p .001 w .07971 .45786 m .08357 .45639 L s P p .001 w .07646 .47833 m .08033 .47688 L s P p .001 w .06983 .52017 m .07371 .51875 L s P p .001 w .06644 .54156 m .07033 .54015 L s P p .001 w .063 .56327 m .06689 .56188 L s P p .001 w .05951 .5853 m .06341 .58393 L s P p .001 w .05236 .63039 m .05627 .62906 L s P p .001 w .04871 .65346 m .05262 .65214 L s P p .001 w .045 .67689 m .04892 .67559 L s P p .001 w .04122 .70069 m .04515 .6994 L s P p .001 w .10691 .28617 m .11073 .28458 L s P p .001 w .10973 .26838 m .11355 .26678 L s P p .001 w .0335 .74942 m .03744 .74817 L s P p .001 w .02955 .77438 m .03349 .77315 L s P P % End of Graphics MathPictureEnd :[font = output; output; inactive; preserveAspect; endGroup] No Input Form was saved for this expression. ;[o] -SurfaceGraphics- :[font = input; preserveAspect; startGroup] Clear[x,y,u,s,t,xi,eta,c1,c2,r] xi = 1/x +1/y; eta = u + x + y; {y,u}={y,u}/. Solve[{xi==c1,eta==c2},{y,u}][[1]]; {c1,c2}={c1,c2}/. Solve[{x,y,u}=={s,s,s},{c1,c2},x][[1]]; r[s,t]=Simplify[{x,y,u}]/.x->t :[font = output; output; inactive; preserveAspect; endGroup] {t, (s*t)/(-s + 2*t), (-3*s^2 + 6*s*t - 2*t^2)/(-s + 2*t)} ;[o] 2 2 s t -3 s + 6 s t - 2 t {t, --------, --------------------} -s + 2 t -s + 2 t :[font = input; preserveAspect; startGroup] ParametricPlot3D[{t,(s t)/(2 t-s), (-3s^2+6s t-2t^2)/(2t-s)},{t,-1,1},{s,-1,1}, BoxRatios->{1,1,1},PlotPoints->40] :[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 100; pictureWidth = 276; pictureHeight = 300] %! %%Creator: Mathematica %%AspectRatio: 1.08079 MathPictureStart %% Graphics3D /Courier findfont 10 scalefont setfont % Scaling calculations -0.0260524 1.10184 0.0275459 1.10184 [ [(-1)] .11326 .24476 .97192 1 Msboxa [(-0.5)] .23453 .19353 .88455 1 Msboxa [(0)] .36251 .13949 .79718 1 Msboxa [(0.5)] .49778 .08241 .70982 1 Msboxa [(1)] .64097 .02204 .62245 1 Msboxa [(-1)] .03639 .80832 .1546 -1 Msboxa [(-0.5)] 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.002 w .61568 .67474 m .6119 .67143 L p .54497 .6026 L .914 .523 .125 r F P s P p .002 w .6253 .67875 m .62449 .67555 L p .56748 .62661 L .947 .591 .274 r F P s P p .002 w .54497 .6026 m .53509 .58936 L p .52397 .56837 L .913 .618 .129 r F P s P p .52397 .56837 m .52425 .56874 L .54497 .6026 L .913 .618 .129 r F P p .002 w .52465 .56923 m .54497 .6026 L p .52367 .56779 L .913 .618 .129 r F P s P p .5343 .58507 m .53446 .58549 L .53788 .59211 L .937 .615 .167 r F P p .002 w .54497 .6026 m .5343 .58507 L p .53788 .59211 L .937 .615 .167 r F P s P p .53788 .59211 m .52922 .57674 L .53108 .58205 L .937 .615 .167 r F P p .002 w .53392 .58445 m .52922 .57674 L p .53788 .59211 L .937 .615 .167 r F P s P p .002 w .5343 .58507 m .53392 .58445 L p .53446 .58549 L .937 .615 .167 r F P s P p .002 w .54497 .6026 m .56748 .62661 L p .56849 .62749 L .947 .591 .274 r F P s P p .002 w .55939 .61583 m .54497 .6026 L p .56849 .62749 L .947 .591 .274 r F P s P p .002 w .52295 .56644 m .525 .57306 L p .53108 .58205 L .937 .615 .167 r F P s P p .52397 .56837 m .52367 .56779 L .52425 .56874 L .913 .618 .129 r F P p .002 w .52295 .56644 m .52465 .56923 L p .52367 .56779 L .913 .618 .129 r F P s P p .002 w .52922 .57674 m .52295 .56644 L p .53108 .58205 L .937 .615 .167 r F P s P p .52979 .58014 m .52577 .57419 L .52911 .57839 L .937 .615 .167 r F P p .002 w .525 .57306 m .52688 .57543 L p .52577 .57419 L .937 .615 .167 r F P s P p .002 w .52688 .57543 m .56748 .62661 L p .52577 .57419 L .937 .615 .167 r F P s P p .002 w .525 .57306 m .52868 .58109 L p .53609 .58978 L .951 .61 .217 r F P s P p .002 w .56748 .62661 m .54497 .6026 L p .52979 .58014 L .937 .615 .167 r F P s P p .52979 .58014 m .52911 .57839 L .56748 .62661 L .937 .615 .167 r F P p .002 w .53319 .58338 m .525 .57306 L p .53609 .58978 L .951 .61 .217 r F P s P p .002 w .52295 .56644 m .52165 .56048 L p .52232 .54891 L 0 0 .056 r F P s P p .52232 .54891 m .52235 .54905 L .52295 .56644 L 0 0 .056 r F P p .002 w .52238 .54898 m .52295 .56644 L p .52234 .54867 L 0 0 .056 r F P s P p .002 w .52295 .56644 m .52236 .54827 L .52246 .55322 L p .721 .575 0 r F P s P p .002 w .525 .57306 m .52295 .56644 L p .52247 .55373 L .721 .575 0 r F P s P p .002 w .52246 .55322 m .52255 .55399 L p .52247 .55373 L .721 .575 0 r F P s P p .002 w .52255 .55399 m .525 .57306 L p .52247 .55373 L .721 .575 0 r F P s P p .002 w .525 .57306 m .52246 .55322 L .5226 .55823 L p .805 .624 .067 r F P s P p .002 w .527 .57741 m .525 .57306 L p .52468 .57106 L .805 .624 .067 r F P s P p .52468 .57106 m .52266 .55859 L .527 .57741 L .805 .624 .067 r F P p .002 w .52868 .58109 m .527 .57741 L p .52266 .55859 L .805 .624 .067 r F P s P p .002 w .52868 .58109 m .52799 .5785 L p .52797 .57848 L .893 .67 .155 r F P s P p .002 w .52275 .55881 m .52868 .58109 L p .52266 .55859 L .805 .624 .067 r F P s P p .002 w .52799 .5785 m .52551 .56916 L p .52797 .57848 L .893 .67 .155 r F P s P p .52797 .57848 m .52551 .56916 L .52533 .56878 L .893 .67 .155 r F P p .52592 .57271 m .52533 .56878 L .52283 .56333 L .893 .67 .155 r F P p .52868 .58109 m .52533 .56878 L .52592 .57271 L .893 .67 .155 r F P p .002 w .5226 .55823 m .52275 .55881 L p .52266 .55859 L .805 .624 .067 r F P s P p .002 w .52551 .56916 m .5226 .55823 L .52277 .56215 L p .893 .67 .155 r F P s P p .002 w .52277 .56215 m .52283 .56333 L p .52551 .56916 L .893 .67 .155 r F P s P p .5388 .59095 m .53408 .5845 L .5352 .58744 L .951 .61 .217 r F P p .5388 .59095 m .5352 .58744 L .53609 .58978 L .951 .61 .217 r F P p .54925 .60523 m .5388 .59095 L .53609 .58978 L .951 .61 .217 r F P p .002 w .56748 .62661 m .54138 .59371 L p .54925 .60523 L .951 .61 .217 r F P s P p .002 w .54138 .59371 m .53408 .5845 L p .54925 .60523 L .951 .61 .217 r F P s P p .53408 .5845 m .53327 .58356 L .53609 .58978 L .951 .61 .217 r F P p .002 w .52868 .58109 m .63187 .68169 L .62824 .68125 L p .951 .61 .217 r F P s P p .002 w .52283 .56333 m .52634 .57064 L p .52868 .58109 L .893 .67 .155 r F P s P p .002 w .52868 .58109 m .53721 .59329 L p .54444 .60004 L .962 .633 .325 r F P s P p .60693 .66048 m .55939 .61583 L .56849 .62749 L .947 .591 .274 r F P p .002 w .59141 .6452 m .55939 .61583 L p .60693 .66048 L .947 .591 .274 r F P s P p .002 w .62824 .68125 m .56748 .62661 L p .52868 .58109 L .951 .61 .217 r F P s P p .002 w .5395 .59163 m .52868 .58109 L p .54444 .60004 L .962 .633 .325 r F P s P p .002 w .52885 .57595 m .52647 .57084 L p .52701 .57282 L .913 .618 .129 r F P s P p .002 w .52634 .57064 m .53721 .59329 L .52868 .58109 L p .893 .67 .155 r F P s P p .002 w .52283 .56333 m .52324 .5686 L p .52741 .57598 L .962 .699 .261 r F P s P p .002 w .53721 .59329 m .52646 .57089 L p .52741 .57598 L .962 .699 .261 r F P s P p .002 w .52646 .57089 m .52283 .56333 L p .52741 .57598 L .962 .699 .261 r F P s P p .57364 .62731 m .5395 .59163 L .54444 .60004 L .962 .633 .325 r F P p .002 w .63187 .68169 m .55588 .6076 L p .57364 .62731 L .962 .633 .325 r F P s P p .002 w .55588 .6076 m .5395 .59163 L p .57364 .62731 L .962 .633 .325 r F P s P p .002 w .63211 .68301 m .63187 .68169 L p .55401 .60898 L .962 .633 .325 r F P s P p .55401 .60898 m .53721 .59329 L .55449 .60962 L .962 .633 .325 r F P p .55401 .60898 m .55449 .60962 L .63211 .68301 L .962 .633 .325 r F P p .002 w .53408 .5845 m .53319 .58338 L p .53327 .58356 L .951 .61 .217 r F P s P p .002 w .56748 .62661 m .31108 .41776 L p .6253 .67875 L .947 .591 .274 r F P s P p .002 w .56498 .66004 m .24806 .39947 L .23828 .40215 L p .603 .772 .961 r F P s P p .002 w .24806 .39947 m .56498 .66004 L .56215 .66385 L p .869 .799 .779 r F P s P p .002 w .24486 .40348 m .24806 .39947 L p .56215 .66385 L .869 .799 .779 r F P s P p .002 w .25125 .40541 m .56709 .66569 L .57719 .66375 L p .603 .774 .962 r F P s P p .002 w .57719 .66375 m .26094 .40276 L .25125 .40541 L p .603 .774 .962 r F P s P p .002 w .26094 .40276 m .57719 .66375 L .57434 .66767 L p .872 .8 .776 r F P s P p .002 w .25785 .40671 m .26094 .40276 L p .57434 .66767 L .872 .8 .776 r F P s P p .002 w .26438 .40874 m .57911 .66948 L .58964 .66746 L p .603 .775 .962 r F P s P p .002 w .58964 .66746 m .27387 .40614 L .26438 .40874 L p .603 .775 .962 r F P s P p .002 w .27387 .40614 m .58964 .66746 L .58677 .67153 L p .876 .801 .772 r F P s P p .002 w .27093 .40998 m .27387 .40614 L p .58677 .67153 L .876 .801 .772 r F P s P p .002 w .27767 .41216 m .59124 .67328 L .60242 .67111 L p .604 .776 .963 r F P s P p .002 w .60242 .67111 m .28676 .40966 L .27767 .41216 L p .604 .776 .963 r F P s P p .002 w .28676 .40966 m .60242 .67111 L .59951 .67542 L p .881 .801 .766 r F P s P p .002 w .28405 .41332 m .28676 .40966 L p .59951 .67542 L .881 .801 .766 r F P s P p .002 w .29111 .41573 m .60349 .67704 L .61556 .67466 L p .936 .562 .236 r F P s P p .002 w .29937 .41343 m .29111 .41573 L p .61556 .67466 L .936 .562 .236 r F P s P p .002 w .6119 .67143 m .29937 .41343 L p .61556 .67466 L .936 .562 .236 r F P s P p .002 w .6119 .67143 m .61568 .67474 L 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.54827 m .52238 .54898 L p .52234 .54867 L 0 0 .056 r F P s P p .002 w .57828 .6334 m .53087 .57759 L p .5342 .58528 L .982 .694 .38 r F P s P p .002 w .53087 .57759 m .52324 .5686 L p .5342 .58528 L .982 .694 .38 r F P s P p .51893 .53537 m .51891 .53471 L .51901 .53591 L 0 0 .052 r F P p .002 w .56215 .66385 m .55923 .66693 L p .24486 .40348 L .869 .799 .779 r F P s P p .002 w .55923 .66693 m .24046 .40802 L .24486 .40348 L p .869 .799 .779 r F P s P p .002 w .24046 .40802 m .55923 .66693 L .56709 .66569 L p .584 .767 .966 r F P s P p .002 w .56709 .66569 m .25125 .40541 L .24046 .40802 L p .584 .767 .966 r F P s P p .002 w .57434 .66767 m .57148 .67066 L p .25785 .40671 L .872 .8 .776 r F P s P p .002 w .57148 .67066 m .25326 .41138 L .25785 .40671 L p .872 .8 .776 r F P s P p .002 w .25326 .41138 m .57148 .67066 L .57911 .66948 L p .581 .767 .968 r F P s P p .002 w .57911 .66948 m .26438 .40874 L .25326 .41138 L p .581 .767 .968 r F P s P p .002 w .58677 .67153 m .58399 .67436 L p 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L p .30946 .42028 L .898 .796 .74 r F P s P p .002 w .30428 .42492 m .30946 .42028 L p .62617 .68407 L .898 .796 .74 r F P s P p .002 w .62617 .68407 m .37398 .4848 L .30428 .42492 L p .898 .796 .74 r F P s P p .002 w .30946 .42028 m .31108 .41776 L p .62711 .68323 L .898 .796 .74 r F P s P p .002 w .37398 .4848 m .62617 .68407 L .62833 .68382 L p .552 .764 .976 r F P s P p .002 w .31843 .42411 m .62833 .68382 L .63211 .68301 L p .962 .633 .325 r F P s P p .62833 .68382 m .3154 .42471 L .37398 .4848 L .552 .764 .976 r F P p .002 w .62833 .68382 m .31843 .42411 L .3154 .42471 L p .552 .764 .976 r F P s P p .002 w .31953 .42379 m .31843 .42411 L p .63211 .68301 L .962 .633 .325 r F P s P p .002 w .57715 .5918 m .60036 .61732 L p .59966 .62068 L .402 .645 .955 r F P s P p .002 w .59811 .62812 m .58251 .60109 L p .59966 .62068 L .402 .645 .955 r F P s P p .002 w .58251 .60109 m .57715 .5918 L p .59966 .62068 L .402 .645 .955 r F P s P p .002 w .69188 .70378 m .69172 .70415 L p .62292 .64723 L .806 .822 .863 r F P s P p .002 w .59811 .62812 m .55629 .58648 L p .57194 .59047 L .659 .708 .883 r F P s P p .002 w .57715 .5918 m .58251 .60109 L p .57194 .59047 L .659 .708 .883 r F P s P p .002 w .58251 .60109 m .59811 .62812 L p .57194 .59047 L .659 .708 .883 r F P s P p .002 w .53721 .59329 m .57828 .6334 L p .41756 .50321 L .913 .781 .702 r F P s P p .002 w .57828 .6334 m .44602 .53788 L p .3193 .42421 L .913 .781 .702 r F P s P p .002 w .3193 .42421 m .31953 .42379 L p .57828 .6334 L .913 .781 .702 r F P s P p .002 w .44602 .53788 m .57828 .6334 L .44629 .5252 L p .521 .758 .983 r F P s P p .002 w .47211 .56501 m .44602 .53788 L p .4461 .53401 L .521 .758 .983 r F P s P p .002 w .44629 .5252 m .46581 .55528 L p .4461 .53401 L .521 .758 .983 r F P s P p .002 w .46581 .55528 m .47211 .56501 L p .4461 .53401 L .521 .758 .983 r F P s P p .37569 .46929 m .41188 .49707 L .41756 .50321 L .913 .781 .702 r F P p .41188 .49707 m .53721 .59329 L .41756 .50321 L .913 .781 .702 r F P p .002 w .31953 .42379 m .36565 .4597 L p .37569 .46929 L .913 .781 .702 r F P s P p .002 w .36565 .4597 m .53721 .59329 L p .37569 .46929 L .913 .781 .702 r F P s P p .002 w .44629 .5252 m .49327 .5704 L p .47741 .56636 L .557 .739 .961 r F P s P p .002 w .47211 .56501 m .46581 .55528 L p .47741 .56636 L .557 .739 .961 r F P s P p .002 w .46581 .55528 m .44629 .5252 L p .47741 .56636 L .557 .739 .961 r F P s P p .002 w .52422 .57438 m .44629 .5252 L .57828 .6334 L p .982 .694 .38 r F P s P p .002 w .52908 .58352 m .52946 .56605 L .53045 .57188 L p 0 0 .32 r F P s P p .002 w .52946 .56605 m .52908 .58352 L .52422 .57438 L p 0 0 .4 r F P s P p .002 w .52908 .58352 m .49327 .5704 L .44629 .5252 L p .927 .71 .589 r F P s P p .002 w .44629 .5252 m .52422 .57438 L .52908 .58352 L p .927 .71 .589 r F P s P p .002 w .52904 .56072 m .52422 .57438 L .52324 .5686 L p 0 0 .384 r F P s P p .002 w .52422 .57438 m .52904 .56072 L .52946 .56605 L p 0 0 .4 r F P s P p .002 w .53045 .57188 m .51435 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L p .52495 .59064 L 0 0 .542 r F P s P p .002 w .51292 .56809 m .51901 .58079 L p .52495 .59064 L 0 0 .542 r F P s P p .52495 .59064 m .52005 .58252 L .52833 .60021 L 0 0 .542 r F P p .002 w .52073 .58438 m .52833 .60021 L p .52005 .58252 L 0 0 .542 r F P s P p .002 w .51292 .56809 m .5184 .57822 L p .52063 .58316 L 0 0 .446 r F P s P p .52532 .59355 m .52071 .58408 L .52063 .58316 L 0 0 .446 r F P p .52071 .58408 m .51292 .56809 L .52063 .58316 L 0 0 .446 r F P p .002 w .52833 .60021 m .52379 .59075 L p .52532 .59355 L 0 0 .446 r F P s P p .002 w .51901 .58079 m .52073 .58438 L p .52005 .58252 L 0 0 .542 r F P s P p .002 w .52379 .59075 m .51292 .56809 L p .52532 .59355 L 0 0 .446 r F P s P p .002 w .52986 .6068 m .52833 .60021 L p .52571 .59441 L 0 0 .446 r F P s P p .002 w .5184 .57822 m .52247 .58838 L p .52571 .59441 L 0 0 .446 r F P s P p .52571 .59441 m .52318 .5897 L .52986 .6068 L 0 0 .446 r F P p .002 w .52375 .59157 m .52986 .6068 L p .52318 .5897 L 0 0 .446 r F P s P p .002 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m .53353 .63241 L p .53387 .63417 L 0 0 .223 r F P s P p .002 w .53353 .63241 m .53143 .61636 L p .53387 .63417 L 0 0 .223 r F P s P p .002 w .52218 .58912 m .52031 .58575 L p .52167 .58806 L 0 0 .449 r F P s P p .52241 .58935 m .51866 .58313 L .52786 .6025 L 0 0 .449 r F P p .002 w .51757 .58131 m .5195 .58529 L p .51866 .58313 L 0 0 .449 r F P s P p .002 w .5195 .58529 m .52786 .6025 L p .51866 .58313 L 0 0 .449 r F P s P p .52167 .58806 m .5188 .5829 L .5212 .58707 L 0 0 .449 r F P p .5188 .5829 m .51968 .58436 L .5212 .58707 L 0 0 .449 r F P p .002 w .51183 .56951 m .51757 .58131 L p .52241 .58935 L 0 0 .449 r F P s P p .52547 .59742 m .51739 .58089 L .51703 .5795 L 0 0 .385 r F P p .51739 .58089 m .51183 .56951 L .51703 .5795 L 0 0 .385 r F P p .002 w .52395 .59445 m .51183 .56951 L p .52547 .59742 L 0 0 .385 r F P s P p .002 w .52786 .6025 m .52539 .59741 L p .52547 .59742 L 0 0 .385 r F P s P p .002 w .52539 .59741 m .52395 .59445 L p .52505 .59661 L 0 0 .385 r F P s P p .52539 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s P p .002 w .43587 .4754 m .44876 .48831 L .43482 .47368 L closepath p .737 .263 0 r F P s P p .002 w .44876 .48831 m .43587 .4754 L .43678 .47571 L p .068 .482 .891 r F P s P p .002 w .43678 .47571 m .43902 .47956 L p .44876 .48831 L .068 .482 .891 r F P s P p .002 w .47068 .51339 m .4458 .48681 L p .44167 .48088 L 0 .363 .818 r F P s P p .002 w .4458 .48681 m .43902 .47956 L .44005 .48007 L p 0 .363 .818 r F P s P p .002 w .44005 .48007 m .44167 .48088 L p .4458 .48681 L 0 .363 .818 r F P s P p .49411 .54457 m .49204 .54168 L .49492 .54496 L 0 .181 .69 r F P p .002 w .48892 .53813 m .48343 .53133 L p .49492 .54496 L 0 .181 .69 r F P s P p .48343 .53133 m .48727 .53557 L .49492 .54496 L 0 .181 .69 r F P p .50499 .55806 m .48958 .53801 L .50451 .55914 L 0 .181 .69 r F P p .002 w .51183 .56951 m .50499 .55806 L p .50451 .55914 L 0 .181 .69 r F P s P p .002 w .49411 .54457 m .48892 .53813 L p .49204 .54168 L 0 .181 .69 r F P s P p .002 w .44167 .48088 m .44288 .48315 L p .47068 .51339 L 0 .363 .818 r F P s P p .002 w .44288 .48315 m .443 .48337 L p .44378 .48421 L 0 .363 .818 r F P s P p .44378 .48421 m .47068 .51339 L .44288 .48315 L 0 .363 .818 r F P p .002 w .443 .48337 m .44705 .48604 L p .45357 .49385 L 0 .247 .736 r F P s P p .002 w .47068 .51339 m .48944 .53898 L p .48958 .53801 L 0 .181 .69 r F P s P p .48958 .53801 m .48944 .53898 L .4931 .54359 L 0 .181 .69 r F P p .002 w .49484 .54634 m .51183 .56951 L p .48958 .53801 L 0 .181 .69 r F P s P p .49963 .55218 m .48832 .53703 L .48547 .53208 L 0 .066 .599 r F P p .48832 .53703 m .47068 .51339 L .48547 .53208 L 0 .066 .599 r F P p .002 w .48944 .53898 m .49484 .54634 L p .4931 .54359 L 0 .181 .69 r F P s P p .002 w .49464 .54607 m .47068 .51339 L p .49963 .55218 L 0 .066 .599 r F P s P p .002 w .48547 .53208 m .47068 .51339 L p .44378 .48421 L 0 .363 .818 r F P s P p .002 w .443 .48337 m .44489 .48554 L p .44378 .48421 L 0 .363 .818 r F P s P p .002 w .44489 .48554 m .48547 .53208 L p .44378 .48421 L 0 .363 .818 r F P s P p .002 w .48547 .53208 m .46835 .51244 L p .45357 .49385 L 0 .247 .736 r F P s P p .002 w .46835 .51244 m .443 .48337 L p .45357 .49385 L 0 .247 .736 r F P s P p .002 w .51183 .56951 m .50396 .55877 L p .49963 .55218 L 0 .066 .599 r F P s P p .002 w .50396 .55877 m .49464 .54607 L p .49961 .55217 L 0 .066 .599 r F P s P p .50396 .55877 m .49961 .55217 L .49963 .55218 L 0 .066 .599 r F P p .002 w .48547 .53208 m .51703 .5795 L .51183 .56951 L p 0 .066 .599 r F P s P p .002 w .4475 .48696 m .4837 .5317 L p .48547 .53208 L 0 .247 .736 r F P s P p .002 w .48547 .53208 m .49613 .54706 L p .50751 .56472 L 0 0 .519 r F P s P p .002 w .50376 .55957 m .48547 .53208 L p .50751 .56472 L 0 0 .519 r F P s P p .002 w .4837 .5317 m .49613 .54706 L p .48547 .53208 L 0 .247 .736 r F P s P p .002 w .44705 .48604 m .4475 .48696 L p .48547 .53208 L 0 .247 .736 r F P s P p .002 w .45013 .48914 m .45897 .49933 L p .49045 .53976 L 0 .14 .655 r F P s P p .48839 .53731 m .49045 .53976 L .49613 .54706 L 0 .14 .655 r F P p .45013 .48914 m .49045 .53976 L .48839 .53731 L 0 .14 .655 r F P p .002 w .4475 .48696 m .45013 .48914 L p .48839 .53731 L 0 .14 .655 r F P s P p .002 w .49613 .54706 m .48441 .53257 L p .48839 .53731 L 0 .14 .655 r F P s P p .002 w .48441 .53257 m .4475 .48696 L p .48839 .53731 L 0 .14 .655 r F P s P p .002 w .50227 .58308 m .51435 .57578 L .51929 .58503 L p .648 .631 .819 r F P s P p .002 w .51435 .57578 m .50227 .58308 L .49327 .5704 L p .19 .654 .939 r F P s P p .50835 .56602 m .50376 .55957 L .50751 .56472 L 0 0 .519 r F P p .002 w .51703 .5795 m .52111 .58852 L p .528 .60518 L 0 0 .335 r F P s P p .002 w .51703 .5795 m .51113 .57063 L p .50835 .56602 L 0 0 .519 r F P s P p .002 w .51113 .57063 m .50376 .55957 L p .50835 .56602 L 0 0 .519 r F P s P p .002 w .52681 .6025 m .51703 .5795 L p .528 .60518 L 0 0 .335 r F P s P p .002 w .50608 .59132 m .51929 .58503 L .52027 .59087 L p .589 .437 .644 r F P s P p .002 w .51929 .58503 m .50608 .59132 L .50227 .58308 L p .648 .631 .819 r F P s P p .002 w .49613 .54706 m .52111 .58852 L .51703 .5795 L p 0 0 .519 r F P s P p .51571 .57942 m .49613 .54706 L .51475 .57769 L 0 0 .45 r F P p .002 w .51658 .58099 m .51399 .57669 L p .51571 .57942 L 0 0 .45 r F P s P p .002 w .51399 .57669 m .49613 .54706 L p .51571 .57942 L 0 0 .45 r F P s P p .002 w .49613 .54706 m .50419 .55972 L p .51475 .57769 L 0 0 .45 r F P s P p .002 w .52111 .58852 m .51658 .58099 L p .51475 .57769 L 0 0 .45 r F P s P p .002 w .52982 .60957 m .52681 .6025 L p .528 .60518 L 0 0 .335 r F P s P p .002 w .52111 .58852 m .53143 .61636 L .52982 .60957 L p 0 0 .335 r F P s P p .002 w .52111 .58852 m .52441 .59685 L p .53005 .61252 L 0 0 .296 r F P s P p .002 w .53143 .61636 m .5291 .61006 L p .53005 .61252 L 0 0 .296 r F P s P p .002 w .5291 .61006 m .52111 .58852 L p .53005 .61252 L 0 0 .296 r F P s P p .002 w .52786 .6025 m .52545 .59505 L p .52241 .58935 L 0 0 .449 r F P s P p .002 w .41389 .46322 m .40613 .45615 L .40702 .45615 L p 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P p .002 w .5377 .53053 m .52845 .54054 L .52839 .53561 L p .267 .149 .527 r F P s P p .002 w .52845 .54054 m .5377 .53053 L .53812 .53581 L p .304 .185 .547 r F P s P p .002 w .55294 .54541 m .54031 .55252 L .53936 .54674 L p .561 .449 .684 r F P s P p .002 w .54031 .55252 m .55294 .54541 L .55485 .55207 L p .598 .499 .712 r F P s P p .002 w .56115 .56762 m .57488 .56148 L .57986 .57093 L p .676 .646 .813 r F P s P p .002 w .57488 .56148 m .56115 .56762 L .55744 .55934 L p .664 .607 .781 r F P s P p .002 w .42025 .4473 m .71946 .71393 L .73102 .71244 L p 0 .11 .601 r F P s P p .002 w .73185 .70718 m .72214 .6978 L .73228 .70754 L closepath p 0 .11 .601 r F P s P p .002 w .7294 .69162 m .74341 .7074 L .73228 .70754 L p .471 .697 .966 r F P s P p .002 w .73228 .70754 m .72214 .6978 L p .7294 .69162 L .471 .697 .966 r F P s P p .002 w .51796 .50976 m .51658 .52611 L .51614 .52107 L p 0 0 .138 r F P s P p .002 w .51658 .52611 m .51796 .50976 L .5181 .51456 L p 0 0 .124 r F P s P p .002 w .5221 .51443 m .51864 .52918 L .51843 .52426 L p 0 0 .216 r F P s P p .002 w .51864 .52918 m .5221 .51443 L .52212 .5192 L p 0 0 .204 r F P s P p .002 w .52823 .51613 m .52216 .5288 L .52214 .52399 L p 0 0 .35 r F P s P p .002 w .52826 .52097 m .52219 .53363 L .52216 .5288 L p 0 0 .351 r F P s P p .002 w .52216 .5288 m .52823 .51613 L .52826 .52097 L p 0 0 .351 r F P s P p .002 w .52219 .53363 m .52826 .52097 L .52829 .52583 L p 0 0 .352 r F P s P p .002 w .53735 .52534 m .52839 .53561 L .52834 .53071 L p .236 .12 .511 r F P s P p .002 w .52839 .53561 m .53735 .52534 L .5377 .53053 L p .267 .149 .527 r F P s P p .002 w .59793 .59711 m .60728 .58713 L .61865 .60239 L p .648 .714 .896 r F P s P p .002 w .60728 .58713 m .59793 .59711 L .58696 .58229 L p .67 .692 .862 r F P s P p .002 w .55146 .53915 m .53936 .54674 L .53866 .5412 L p .524 .404 .659 r F P s P p .002 w .53936 .54674 m .55146 .53915 L .55294 .54541 L p .561 .449 .684 r F P s P p .002 w .55744 .55934 m .5712 .55319 L .57488 .56148 L p .664 .607 .781 r F P s P p .002 w .5712 .55319 m .55744 .55934 L .55485 .55207 L p .645 .569 .754 r F P s P p .002 w .73102 .71244 m .42862 .44555 L .42025 .4473 L p 0 .11 .601 r F P s P p .002 w .42862 .44555 m .73102 .71244 L .72662 .71682 L p .845 .835 .836 r F P s P p .002 w .72662 .71682 m .72452 .72001 L p .42516 .44895 L .845 .835 .836 r F P s P p .002 w .42516 .44895 m .42862 .44555 L p .72662 .71682 L .845 .835 .836 r F P s P p .002 w .72452 .72001 m .42113 .45455 L .42516 .44895 L p .845 .835 .836 r F P s P p .002 w .42113 .45455 m .72452 .72001 L .73302 .7185 L p .587 .784 .974 r F P s P p .002 w .74341 .7074 m .7294 .69162 L .74564 .70793 L closepath p .276 .605 .954 r F P s P p .002 w .51614 .52107 m .51785 .50499 L .51796 .50976 L p 0 0 .138 r F P s P p .002 w .66613 .65511 m .65558 .62748 L .68027 .65489 L p .532 .714 .955 r F P s P p .002 w .65558 .62748 m .66613 .65511 L .63606 .62308 L p .607 .723 .928 r F P s P p .002 w .52209 .50968 m .51843 .52426 L 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0 .242 r F P s P p .002 w .52208 .50494 m .51825 .51939 L .5181 .51456 L p 0 0 .234 r F P s P p .002 w .5181 .51456 m .52207 .50023 L .52208 .50494 L p 0 0 .234 r F P s P p .002 w .51825 .51939 m .52208 .50494 L .52209 .50968 L p 0 0 .226 r F P s P p .002 w .52818 .50652 m .52212 .5192 L .5221 .51443 L p 0 0 .349 r F P s P p .002 w .5282 .51132 m .52214 .52399 L .52212 .5192 L p 0 0 .35 r F P s P p .002 w .52212 .5192 m .52818 .50652 L .5282 .51132 L p 0 0 .35 r F P s P p .002 w .52214 .52399 m .5282 .51132 L .52823 .51613 L p 0 0 .35 r F P s P p .002 w .63606 .62308 m .63928 .60766 L .65558 .62748 L p .607 .723 .928 r F P s P p .002 w .63928 .60766 m .63606 .62308 L .61865 .60239 L p .645 .715 .899 r F P s P p .002 w .5368 .51515 m .52829 .52583 L .52826 .52097 L p .186 .074 .484 r F P s P p .002 w .53705 .52022 m .52834 .53071 L .52829 .52583 L p .209 .095 .497 r F P s P p .002 w .52829 .52583 m .5368 .51515 L .53705 .52022 L p .209 .095 .497 r F P s P p .002 w .52834 .53071 m .53705 .52022 L .53735 .52534 L p .236 .12 .511 r F P s P p .002 w .54934 .52741 m .53812 .53581 L .5377 .53053 L p .454 .326 .617 r F P s P p .002 w .53812 .53581 m .54934 .52741 L .55029 .53318 L p .488 .363 .636 r F P s P p .002 w .57986 .57093 m .59332 .56449 L .59927 .57488 L p .676 .666 .832 r F P s P p .002 w .59332 .56449 m .57986 .57093 L .57488 .56148 L p .673 .637 .805 r F P s P p .002 w .56836 .54566 m .55485 .55207 L .55294 .54541 L p .623 .531 .729 r F P s P p .002 w .55485 .55207 m .56836 .54566 L .5712 .55319 L p .645 .569 .754 r F P s P p .002 w .74406 .71703 m .44496 .44887 L .43554 .45087 L p .559 .773 .978 r F P s P p .002 w .44496 .44887 m .74406 .71703 L .74 .7212 L p .851 .838 .833 r F P s P p .002 w .74 .7212 m .73769 .72458 L p .44119 .45267 L .851 .838 .833 r F P s P p .002 w .44119 .45267 m .44496 .44887 L p .74 .7212 L .851 .838 .833 r F P s P p .002 w .75498 .70764 m .74211 .69029 L .75907 .70803 L closepath p .416 .677 .97 r F P s P p .002 w .73769 .72458 m 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.72302 L .75749 .72157 L p .56 .774 .979 r F P s P p .002 w .74672 .72302 m .45104 .45458 L .43721 .45804 L p .584 .784 .975 r F P s P p .002 w .76727 .70762 m .7573 .6912 L .77259 .70776 L closepath p .475 .701 .968 r F P s P p .002 w .52206 .49553 m .51796 .50976 L .51785 .50499 L p 0 0 .248 r F P s P p .002 w .51785 .50499 m .52205 .49084 L .52206 .49553 L p 0 0 .248 r F P s P p .002 w .51796 .50976 m .52206 .49553 L .52207 .50023 L p 0 0 .242 r F P s P p .002 w .52813 .49697 m .52209 .50968 L .52208 .50494 L p 0 0 .348 r F P s P p .002 w .52815 .50174 m .5221 .51443 L .52209 .50968 L p 0 0 .349 r F P s P p .002 w .52209 .50968 m .52813 .49697 L .52815 .50174 L p 0 0 .349 r F P s P p .002 w .5221 .51443 m .52815 .50174 L .52818 .50652 L p 0 0 .349 r F P s P p .002 w .5364 .50515 m .52823 .51613 L .5282 .51132 L p .148 .04 .465 r F P s P p .002 w .53659 .51013 m .52826 .52097 L .52823 .51613 L p .166 .056 .474 r F P s P p .002 w .52823 .51613 m .5364 .50515 L .53659 .51013 L p .166 .056 .474 r F P s P p .002 w .52826 .52097 m .53659 .51013 L .5368 .51515 L p .186 .074 .484 r F P s P p .002 w .54787 .51632 m .53735 .52534 L .53705 .52022 L p .394 .264 .583 r F P s P p .002 w .53735 .52534 m .54787 .51632 L .54855 .5218 L p .423 .293 .599 r F P s P p .002 w .60728 .58713 m .61907 .57921 L .62771 .5921 L p .665 .699 .871 r F P s P p .002 w .61907 .57921 m .60728 .58713 L .59927 .57488 L p .674 .678 .845 r F P s P p .002 w .56426 .53207 m .55146 .53915 L .55029 .53318 L p .574 .461 .687 r F P s P p .002 w .55146 .53915 m .56426 .53207 L .5661 .53867 L p .599 .495 .707 r F P s P p .002 w .57488 .56148 m .58871 .55533 L .59332 .56449 L p .673 .637 .805 r F P s P p .002 w .58871 .55533 m .57488 .56148 L .5712 .55319 L p .664 .607 .781 r F P s P p .002 w .5712 .55319 m .58504 .54702 L .58871 .55533 L p .664 .607 .781 r F P s P p .002 w .58504 .54702 m .5712 .55319 L .56836 .54566 L p .651 .577 .759 r F P s P p .002 w .75749 .72157 m .46114 .45241 L .45104 .45458 L p .56 .774 .979 r F P s P p .002 w .46114 .45241 m .75749 .72157 L .75363 .72562 L p .855 .841 .83 r F P s P p .002 w .77382 .69333 m .78057 .70723 L .77259 .70776 L p .558 .723 .951 r F P s P p .002 w .77259 .70776 m .7573 .6912 L p .77382 .69333 L .558 .723 .951 r F P s P p .002 w .75363 .72562 m .75117 .72912 L p .4572 .45646 L .855 .841 .83 r F P s P p .002 w .4572 .45646 m .46114 .45241 L p .75363 .72562 L .855 .841 .83 r F P s P p .002 w .75117 .72912 m .45323 .4617 L .4572 .45646 L p .855 .841 .83 r F P s P p .002 w .45323 .4617 m .75117 .72912 L .76057 .72754 L p .581 .784 .976 r F P s P p .002 w .78057 .70723 m .77382 .69333 L .78617 .70714 L closepath p .508 .712 .964 r F P s P p .002 w .7294 .69162 m .71491 .66017 L .74211 .69029 L p .517 .713 .961 r F P s P p .002 w .71491 .66017 m .7294 .69162 L .69701 .657 L p .577 .724 .943 r F P s P p .002 w .65558 .62748 m .65985 .6129 L .67535 .63215 L p .612 .724 .925 r F P s P p .002 w .65985 .6129 m .65558 .62748 L .63928 .60766 L p .643 .716 .901 r F P s P p .002 w .5473 .51094 m .53705 .52022 L .5368 .51515 L p .367 .237 .568 r F P s P p .002 w .53705 .52022 m .5473 .51094 L .54787 .51632 L p .394 .264 .583 r F P s P p .002 w .56273 .52576 m .55029 .53318 L .54934 .52741 L p .548 .429 .669 r F P s P p .002 w .55029 .53318 m .56273 .52576 L .56426 .53207 L p .574 .461 .687 r F P s P p .002 w .46674 .45838 m .76057 .72754 L .7712 .72609 L p .56 .775 .979 r F P s P p .002 w .76057 .72754 m .46674 .45838 L .45323 .4617 L p .581 .784 .976 r F P s P p .002 w .79112 .69619 m .79498 .70642 L .78617 .70714 L p .569 .725 .947 r F P s P p .002 w .78617 .70714 m .77382 .69333 L p .79112 .69619 L .569 .725 .947 r F P s P p .002 w .5281 .4875 m .52207 .50023 L .52206 .49553 L p 0 0 .348 r F P s P p .002 w .52812 .49223 m .52208 .50494 L .52207 .50023 L p 0 0 .348 r F P s P p .002 w .52207 .50023 m .5281 .4875 L .52812 .49223 L p 0 0 .348 r F P s P p .002 w .52208 .50494 m .52812 .49223 L .52813 .49697 L p 0 0 .348 r F P s P p .002 w .53609 .49529 m .52818 .50652 L .52815 .50174 L p .119 .015 .45 r F P s P p .002 w .53624 .50021 m .5282 .51132 L .52818 .50652 L p .133 .027 .457 r F P s P p .002 w .52818 .50652 m .53609 .49529 L .53624 .50021 L p .133 .027 .457 r F P s P p .002 w .5282 .51132 m .53624 .50021 L .5364 .50515 L p .148 .04 .465 r F P s P p .002 w .63928 .60766 m .64819 .59716 L .65985 .6129 L p .643 .716 .901 r F P s P p .002 w .64819 .59716 m .63928 .60766 L .62771 .5921 L p .662 .703 .877 r F P s P p .002 w .5468 .50564 m .5368 .51515 L .53659 .51013 L p .343 .213 .555 r F P s P p .002 w .5368 .51515 m .5468 .50564 L .5473 .51094 L p .367 .237 .568 r F P s P p .002 w .56032 .51378 m .54855 .5218 L .54787 .51632 L p .499 .371 .637 r F P s P p .002 w .56143 .51968 m .54934 .52741 L .54855 .5218 L p .523 .399 .652 r F P s P p .002 w .54855 .5218 m .56032 .51378 L .56143 .51968 L p .523 .399 .652 r F P s P p .002 w .59927 .57488 m .61236 .56807 L .61907 .57921 L p .674 .678 .845 r F P s P p .002 w .54934 .52741 m .56143 .51968 L .56273 .52576 L p .548 .429 .669 r F P s P p .002 w .61236 .56807 m .59927 .57488 L .59332 .56449 L p .676 .655 .822 r F P s P p .002 w .59332 .56449 m .607 .55817 L .61236 .56807 L p .676 .655 .822 r F P s P p .002 w .607 .55817 m .59332 .56449 L .58871 .55533 L p .672 .631 .801 r F P s P p .002 w .57956 .53211 m .5661 .53867 L .56426 .53207 L p .618 .52 .721 r F P s P p .002 w .56836 .54566 m .58205 .53933 L .58504 .54702 L p .651 .577 .759 r F P s P p .002 w .58205 .53933 m .56836 .54566 L .5661 .53867 L p .635 .548 .739 r F P s P p .002 w .5661 .53867 m .57956 .53211 L .58205 .53933 L p .635 .548 .739 r F P s P p .002 w .7712 .72609 m .47733 .4561 L .46674 .45838 L p .56 .775 .979 r F P s P p .002 w .47733 .4561 m .7712 .72609 L .76747 .73008 L p .859 .844 .828 r F P s P p .002 w .76747 .73008 m .7649 .73368 L p .47328 .46032 L .859 .844 .828 r F P s P p .002 w .47328 .46032 m .47733 .4561 L p .76747 .73008 L .859 .844 .828 r F P s P p .002 w .7649 .73368 m .46931 .46549 L .47328 .46032 L p .859 .844 .828 r F P s P p .002 w .46931 .46549 m .7649 .73368 L .77455 .73208 L p .578 .784 .977 r F P s P p .002 w .79498 .70642 m .79112 .69619 L .79982 .70621 L closepath p .53 .719 .959 r F P s P p .002 w .8089 .69952 m .8105 .70521 L .79982 .70621 L p .577 .726 .944 r F P s P p .002 w .79982 .70621 m .79112 .69619 L p .8089 .69952 L .577 .726 .944 r F P s P p .002 w .69701 .657 m .69523 .63696 L .71491 .66017 L p .577 .724 .943 r F P s P p .002 w .69523 .63696 m .69701 .657 L .67535 .63215 L p .616 .724 .923 r F P s P p .002 w .54636 .50041 m .53659 .51013 L .5364 .50515 L p .32 .191 .544 r F P s P p .002 w .53659 .51013 m .54636 .50041 L .5468 .50564 L p .343 .213 .555 r F P s P p .002 w .62771 .5921 m .6391 .58378 L .64819 .59716 L p .662 .703 .877 r F P s P p .002 w .6391 .58378 m .62771 .5921 L .61907 .57921 L p .671 .686 .855 r F P s P p .002 w .48265 .46225 m .77455 .73208 L .78512 .73063 L p .559 .776 .98 r F P s P p .002 w .77455 .73208 m .48265 .46225 L .46931 .46549 L p .578 .784 .977 r F P s P p .002 w .8105 .70521 m .8089 .69952 L .81354 .70501 L closepath p .545 .722 .956 r F P s P p .002 w .52809 .48279 m .52206 .49553 L .52205 .49084 L p 0 0 .348 r F P s P p .002 w .52205 .49084 m .52807 .47809 L .52809 .48279 L p 0 0 .348 r F P s P p .002 w .52206 .49553 m .52809 .48279 L .5281 .4875 L p 0 0 .348 r F P s P p .002 w .53574 .48072 m .52812 .49223 L .5281 .4875 L p .085 0 .433 r F P s P p .002 w .67535 .63215 m .68034 .61813 L .69523 .63696 L p .616 .724 .923 r F P s P p .002 w .53584 .48555 m .52813 .49697 L .52812 .49223 L p .095 0 .438 r F P s P p .002 w .52812 .49223 m .53574 .48072 L .53584 .48555 L p .095 0 .438 r F P s P p .002 w .68034 .61813 m .67535 .63215 L .65985 .6129 L p .642 .717 .902 r F P s P p .002 w .53596 .49041 m .52815 .50174 L .52813 .49697 L p .106 .004 .444 r F P s P p .002 w .52813 .49697 m .53584 .48555 L .53596 .49041 L p .106 .004 .444 r F P s P p .002 w .52815 .50174 m .53596 .49041 L .53609 .49529 L p .119 .015 .45 r F P s P p .002 w .54562 .49013 m .53624 .50021 L .53609 .49529 L p .28 .154 .524 r F P s P p .002 w .54597 .49524 m .5364 .50515 L .53624 .50021 L p .299 .172 .533 r F P s P p .002 w .53624 .50021 m .54562 .49013 L .54597 .49524 L p .299 .172 .533 r F P s P p .002 w .5364 .50515 m .54597 .49524 L .54636 .50041 L p .32 .191 .544 r F P s P p .002 w .55851 .50239 m .5473 .51094 L .5468 .50564 L p .453 .321 .61 r F P s P p .002 w .55936 .50802 m .54787 .51632 L .5473 .51094 L p .475 .345 .623 r F P s P p .002 w .5473 .51094 m .55851 .50239 L .55936 .50802 L p .475 .345 .623 r F P s P p .002 w .54787 .51632 m .55936 .50802 L .56032 .51378 L p .499 .371 .637 r F P s P p .002 w .61907 .57921 m .63181 .57204 L .6391 .58378 L p .671 .686 .855 r F P s P p .002 w .63181 .57204 m .61907 .57921 L .61236 .56807 L p .675 .667 .834 r F P s P p .002 w .57564 .51867 m .56273 .52576 L .56143 .51968 L p .58 .467 .689 r F P s P p .002 w .57745 .52525 m .56426 .53207 L .56273 .52576 L p .599 .493 .704 r F P s P p .002 w .56273 .52576 m .57564 .51867 L .57745 .52525 L p .599 .493 .704 r F P s P p .002 w .56426 .53207 m .57745 .52525 L .57956 .53211 L p .618 .52 .721 r F P s P p .002 w .58871 .55533 m .60262 .54916 L .607 .55817 L p .672 .631 .801 r F P s P p .002 w .60262 .54916 m .58871 .55533 L .58504 .54702 L p .664 .607 .781 r F P s P p .002 w .58504 .54702 m .59896 .54083 L .60262 .54916 L p .664 .607 .781 r F P s P p .002 w .59896 .54083 m .58504 .54702 L .58205 .53933 L p .654 .583 .763 r F P s P p .002 w .78512 .73063 m .49362 .4599 L .48265 .46225 L p .559 .776 .98 r F P s P p .002 w .49362 .4599 m .78512 .73063 L .78148 .73459 L p .862 .846 .827 r F P s P p .002 w .82699 .70317 m .82708 .70361 L .81354 .70501 L p .583 .727 .942 r F P s P p .002 w .81354 .70501 m .8089 .69952 L p .82699 .70317 L .583 .727 .942 r F P s P p .002 w .78148 .73459 m .77882 .73825 L p .4895 .46424 L .862 .846 .827 r F P s P p .002 w .4895 .46424 m .49362 .4599 L p .78148 .73459 L .862 .846 .827 r F P s P p .002 w .77882 .73825 m .48552 .46937 L .4895 .46424 L p .862 .846 .827 r F P s P p .002 w .48552 .46937 m .77882 .73825 L .78869 .73665 L p .575 .784 .978 r F P s P p .002 w .74211 .69029 m .7334 .6639 L .7573 .6912 L p .542 .72 .956 r F P s P p .002 w .7334 .6639 m .74211 .69029 L .71491 .66017 L p .587 .726 .939 r F P s P p .002 w .71491 .66017 m .71515 .64183 L .7334 .6639 L p .587 .726 .939 r F P s P p .002 w .71515 .64183 m .71491 .66017 L .69523 .63696 L p .618 .724 .921 r F P s P p .002 w .65985 .6129 m .66866 .60227 L .68034 .61813 L p .642 .717 .902 r F P s P p .002 w .66866 .60227 m .65985 .6129 L .64819 .59716 L p .658 .705 .882 r F P s P p .002 w .61236 .56807 m .62583 .56151 L .63181 .57204 L p .675 .667 .834 r F P s P p .002 w .62583 .56151 m .61236 .56807 L .607 .55817 L p .675 .648 .815 r F P s P p .002 w .49877 .4662 m .78869 .73665 L .79924 .73521 L p .559 .777 .98 r F P s P p .002 w .78869 .73665 m .49877 .4662 L 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p .433 .285 .58 r F P s P p .002 w .3702 .56359 m .35962 .5717 L .34943 .55863 L p .652 .706 .887 r F P s P p .002 w .33926 .56703 m .34943 .55863 L .35962 .5717 L p .66 .697 .874 r F P s P p .002 w .86412 .61551 m .87643 .60719 L .88412 .62041 L p .66 .702 .878 r F P s P p .002 w .52027 .59087 m .50818 .59811 L .50608 .59132 L p .589 .437 .644 r F P s P p .002 w .51199 .62658 m .5013 .63484 L .50057 .62915 L p .44 .285 .573 r F P s P p .002 w .50057 .62915 m .51159 .62117 L .51199 .62658 L p .44 .285 .573 r F P s P p .002 w .52069 .59625 m .50951 .60426 L .50818 .59811 L p .502 .331 .581 r F P s P p .002 w .50818 .59811 m .52027 .59087 L .52069 .59625 L p .502 .331 .581 r F P s P p .002 w .56632 .46649 m .55546 .47552 L .55501 .47034 L p .42 .285 .589 r F P s P p .002 w .55501 .47034 m .5657 .46115 L .56632 .46649 L p .42 .285 .589 r F P s P p .002 w .49414 .68185 m .4836 .68992 L .48303 .68428 L p .429 .28 .576 r F P s P p .002 w .48303 .68428 m .49373 .67633 L .49414 .68185 L p .429 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.59 r F P s P p .002 w .52092 .60148 m .51043 .61006 L .50951 .60426 L p .427 .258 .547 r F P s P p .002 w .50951 .60426 m .52069 .59625 L .52092 .60148 L p .427 .258 .547 r F P s P p .002 w .48539 .71227 m .47496 .72027 L .47445 .71462 L p .42 .273 .574 r F P s P p .002 w .47445 .71462 m .485 .70671 L .48539 .71227 L p .42 .273 .574 r F P s P p .002 w .34943 .55863 m .33926 .56703 L .32852 .55358 L p .651 .708 .889 r F P s P p .002 w .31873 .56225 m .32852 .55358 L .33926 .56703 L p .658 .7 .878 r F P s P p .002 w .804 .60096 m .79204 .60934 L .78395 .59618 L p .665 .696 .869 r F P s P p .002 w .7719 .60443 m .78395 .59618 L .79204 .60934 L p .661 .701 .876 r F P s P p .002 w .5123 .63194 m .50192 .64045 L .5013 .63484 L p .408 .253 .557 r F P s P p .002 w .5013 .63484 m .51199 .62658 L .5123 .63194 L p .408 .253 .557 r F P s P p .002 w .48298 .57919 m .49327 .5704 L .50227 .58308 L p .651 .69 .874 r F P s P p .002 w .42163 .56477 m .41118 .57318 L .4007 .55964 L p .642 .714 .9 r F P 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.42729 m .57493 .43622 L .57433 .43095 L p .451 .314 .603 r F P s P p .002 w .57433 .43095 m .5855 .4219 L .58622 .42729 L p .451 .314 .603 r F P s P p .002 w .49515 .69834 m .485 .70671 L .48458 .70113 L p .384 .236 .554 r F P s P p .002 w .48458 .70113 m .49484 .69285 L .49515 .69834 L p .384 .236 .554 r F P s P p .002 w .45088 .55959 m .44238 .5698 L .42957 .55415 L p .605 .73 .933 r F P s P p .002 w .42163 .56477 m .42957 .55415 L .44238 .5698 L p .643 .712 .897 r F P s P p .002 w .83647 .59766 m .82406 .60577 L .81648 .59296 L p .666 .693 .865 r F P s P p .002 w .804 .60096 m .81648 .59296 L .82406 .60577 L p .663 .697 .871 r F P s P p .002 w .56853 .48293 m .55709 .49142 L .55649 .48605 L p .469 .336 .616 r F P s P p .002 w .55649 .48605 m .56773 .47737 L .56853 .48293 L p .469 .336 .616 r F P s P p .002 w .52123 .61696 m .51199 .62658 L .51159 .62117 L p .276 .126 .49 r F P s P p .002 w .51159 .62117 m .52116 .61181 L .52123 .61696 L p .276 .126 .49 r F P s P p .002 w .50414 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m .42163 .56477 L .40818 .5487 L p .611 .728 .929 r F P s P p .002 w .4007 .55964 m .40818 .5487 L .42163 .56477 L p .642 .714 .9 r F P s P p .002 w .52128 .62211 m .5123 .63194 L .51199 .62658 L p .241 .099 .478 r F P s P p .002 w .51199 .62658 m .52123 .61696 L .52128 .62211 L p .241 .099 .478 r F P s P p .002 w .85646 .60241 m .86923 .59447 L .87643 .60719 L p .664 .696 .87 r F P s P p .002 w .50436 .6786 m .49451 .68736 L .49414 .68185 L p .347 .2 .534 r F P s P p .002 w .49414 .68185 m .50414 .67321 L .50436 .6786 L p .347 .2 .534 r F P s P p .002 w .57859 .46341 m .56699 .4719 L .56632 .46649 L p .479 .345 .62 r F P s P p .002 w .56632 .46649 m .57775 .45784 L .57859 .46341 L p .479 .345 .62 r F P s P p .002 w .19269 .53206 m .18401 .54125 L .17128 .52685 L p .65 .71 .891 r F P s P p .002 w .16288 .5362 m .17128 .52685 L .18401 .54125 L p .655 .705 .884 r F P s P p .002 w .65152 .57627 m .6391 .58378 L .63181 .57204 L p .674 .676 .844 r F P s P p .002 w .26501 .53806 m .25626 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.42729 L .5855 .4219 L p .48 .345 .619 r F P s P p .002 w .5855 .4219 m .59707 .41309 L .59792 .41861 L p .48 .345 .619 r F P s P p .002 w .58048 .47479 m .56853 .48293 L .56773 .47737 L p .508 .377 .637 r F P s P p .002 w .56773 .47737 m .5795 .46905 L .58048 .47479 L p .508 .377 .637 r F P s P p .002 w .52135 .63243 m .51277 .64259 L .51256 .63728 L p .188 .056 .459 r F P s P p .002 w .51256 .63728 m .52132 .62727 L .52135 .63243 L p .188 .056 .459 r F P s P p .002 w .50474 .68939 m .49515 .69834 L .49484 .69285 L p .316 .171 .521 r F P s P p .002 w .49484 .69285 m .50456 .684 L .50474 .68939 L p .316 .171 .521 r F P s P p .002 w .68418 .57338 m .6714 .5807 L .66451 .56919 L p .673 .675 .843 r F P s P p .002 w .65152 .57627 m .66451 .56919 L .6714 .5807 L p .672 .682 .852 r F P s P p .002 w .38672 .54322 m .37961 .55442 L .36518 .53772 L p .618 .726 .923 r F P s P p .002 w .35841 .54915 m .36518 .53772 L .37961 .55442 L p .64 .716 .903 r F P s P p .002 w .58962 .44948 m .57775 .45784 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L p .672 .679 .848 r F P s P p .002 w .32186 .52667 m .31568 .53846 L .30009 .52112 L p .622 .725 .92 r F P s P p .002 w .29417 .53305 m .30009 .52112 L .31568 .53846 L p .638 .718 .905 r F P s P p .002 w .51361 .6797 m .50474 .68939 L .50456 .684 L p .22 .087 .477 r F P s P p .002 w .50456 .684 m .51353 .67438 L .51361 .6797 L p .22 .087 .477 r F P s P p .002 w .603 .44721 m .59062 .4552 L .58962 .44948 L p .533 .405 .651 r F P s P p .002 w .58962 .44948 m .60186 .44133 L .603 .44721 L p .533 .405 .651 r F P s P p .002 w .58886 .51177 m .57564 .51867 L .57407 .51233 L p .599 .491 .703 r F P s P p .002 w .57407 .51233 m .58707 .50521 L .58886 .51177 L p .599 .491 .703 r F P s P p .002 w .15707 .51131 m .14978 .52159 L .13519 .50586 L p .643 .715 .9 r F P s P p .002 w .82275 .57331 m .80947 .58071 L .80295 .56898 L p .671 .68 .85 r F P s P p .002 w .7896 .57626 m .80295 .56898 L .80947 .58071 L p .67 .684 .854 r F P s P p .002 w .59546 .47903 m .58274 .48656 L .58156 .48062 L p .561 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r F P s P p .002 w .51324 .65848 m .52141 .64801 L .52143 .65323 L p .118 .002 .433 r F P s P p .002 w .57745 .52525 m .59089 .51856 L .5932 .52563 L p .628 .536 .731 r F P s P p .002 w .60423 .45317 m .59169 .46101 L .59062 .4552 L p .544 .418 .659 r F P s P p .002 w .59062 .4552 m .603 .44721 L .60423 .45317 L p .544 .418 .659 r F P s P p .002 w .59694 .48528 m .58404 .49263 L .58274 .48656 L p .574 .456 .681 r F P s P p .002 w .58274 .48656 m .59546 .47903 L .59694 .48528 L p .574 .456 .681 r F P s P p .002 w .71085 .55947 m .69737 .56634 L .69147 .55564 L p .674 .663 .831 r F P s P p .002 w .67786 .56235 m .69147 .55564 L .69737 .56634 L p .674 .669 .837 r F P s P p .002 w .62122 .39604 m .60899 .40448 L .60807 .3989 L p .514 .381 .638 r F P s P p .002 w .60807 .3989 m .62019 .39035 L .62122 .39604 L p .514 .381 .638 r F P s P p .002 w .80295 .56898 m .7896 .57626 L .78321 .56473 L p .672 .677 .846 r F P s P p .002 w .76978 .57189 m .78321 .56473 L .7896 .57626 L p .671 .681 .851 r F P s P p .002 w .60262 .54916 m .61659 .54298 L .62083 .55189 L p .671 .627 .797 r F P s P p .002 w .61659 .54298 m .60262 .54916 L .59896 .54083 L p .664 .607 .781 r F P s P p .002 w .38827 .52724 m .38672 .54322 L .36719 .52221 L p .579 .734 .948 r F P s P p .002 w .36518 .53772 m .36719 .52221 L .38672 .54322 L p .618 .726 .923 r F P s P p .002 w .51367 .68503 m .50491 .69479 L .50474 .68939 L p .206 .076 .472 r F P s P p .002 w .50474 .68939 m .51361 .6797 L .51367 .68503 L p .206 .076 .472 r F P s P p .002 w .30009 .52112 m .29417 .53305 L .27823 .51554 L p .623 .724 .919 r F P s P p .002 w .27256 .52762 m .27823 .51554 L .29417 .53305 L p .637 .718 .906 r F P s P p .002 w .69147 .55564 m .67786 .56235 L .67229 .55203 L p .675 .657 .824 r F P s P p .002 w .65856 .55857 m .67229 .55203 L .67786 .56235 L p .675 .662 .829 r F P s P p .002 w .6132 .42744 m .60078 .43555 L .59977 .42983 L p .531 .402 .65 r F P s P p .002 w .59977 .42983 m .61206 .4216 L .6132 .42744 L p .531 .402 .65 r F P s P p .002 w .84259 .57773 m .85608 .57038 L .86246 .58222 L p .67 .685 .856 r F P s P p .002 w .59856 .49167 m .58547 .49883 L .58404 .49263 L p .586 .473 .691 r F P s P p .002 w .58404 .49263 m .59694 .48528 L .59856 .49167 L p .586 .473 .691 r F P s P p .002 w .62083 .55189 m .63476 .54562 L .63952 .55506 L p .674 .642 .81 r F P s P p .002 w .63476 .54562 m .62083 .55189 L .61659 .54298 L p .67 .625 .795 r F P s P p .002 w .60554 .45922 m .59285 .46691 L .59169 .46101 L p .555 .431 .666 r F P s P p .002 w .59169 .46101 m .60423 .45317 L .60554 .45922 L p .555 .431 .666 r F P s P p .002 w .67229 .55203 m .65856 .55857 L .65336 .54867 L p .674 .648 .816 r F P s P p .002 w .63952 .55506 m .65336 .54867 L .65856 .55857 L p .675 .653 .821 r F P s P p .002 w .78321 .56473 m .76978 .57189 L .76355 .56059 L p .673 .673 .842 r F P s P p .002 w .75004 .56762 m .76355 .56059 L .76978 .57189 L p .672 .678 .847 r F P s P p .002 w .65336 .54867 m .63952 .55506 L .63476 .54562 L p .673 .638 .807 r F P s P p .002 w .62231 .4018 m .60996 .41012 L .60899 .40448 L p .522 .391 .643 r F P s P p .002 w .60899 .40448 m .62122 .39604 L .62231 .4018 L p .522 .391 .643 r F P s P p .002 w .52766 .62533 m .52138 .63761 L .52135 .63243 L p 0 0 .355 r F P s P p .002 w .52135 .63243 m .52761 .62012 L .52766 .62533 L p 0 0 .355 r F P s P p .002 w .20721 .51114 m .20054 .52212 L .18525 .5056 L p .636 .719 .907 r F P s P p .002 w .17885 .51673 m .18525 .5056 L .20054 .52212 L p .644 .714 .899 r F P s P p .002 w .59896 .54083 m .61294 .53462 L .61659 .54298 L p .664 .607 .781 r F P s P p .002 w .61294 .53462 m .59896 .54083 L .59586 .53302 L p .656 .587 .765 r F P s P p .002 w .60035 .49823 m .58707 .50521 L .58547 .49883 L p .599 .491 .701 r F P s P p .002 w .58547 .49883 m .59856 .49167 L .60035 .49823 L p .599 .491 .701 r F P s P p .002 w .52144 .65847 m .51345 .66908 L .51335 .66377 L p .105 0 .428 r F P s P p .002 w .51335 .66377 m .52143 .65323 L .52144 .65847 L p .105 0 .428 r F P s P p .002 w .61441 .43337 m .60186 .44133 L .60078 .43555 L p .541 .414 .656 r F P s P p .002 w .60078 .43555 m .6132 .42744 L .61441 .43337 L p .541 .414 .656 r F P s P p .002 w .85608 .57038 m .84259 .57773 L .83629 .56606 L p .672 .679 .849 r F P s P p .002 w .82275 .57331 m .83629 .56606 L .84259 .57773 L p .671 .683 .853 r F P s P p .002 w .60695 .46539 m .5941 .47291 L .59285 .46691 L p .566 .445 .674 r F P s P p .002 w .59285 .46691 m .60554 .45922 L .60695 .46539 L p .566 .445 .674 r F P s P p .002 w .76355 .56059 m .75004 .56762 L .74399 .55658 L p .674 .669 .838 r F P s P p .002 w .73038 .56347 m .74399 .55658 L .75004 .56762 L p .673 .674 .842 r F P s P p .002 w .60232 .50498 m .58886 .51177 L .58707 .50521 L p .612 .509 .713 r F P s P p .002 w .58707 .50521 m .60035 .49823 L .60232 .50498 L p .612 .509 .713 r F P s P p .002 w .51373 .69037 m .50505 .70019 L .50491 .69479 L p .194 .066 .467 r F P s P p .002 w .50491 .69479 m .51367 .68503 L .51373 .69037 L p .194 .066 .467 r F 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.002 w .75557 .4238 m .77025 .417 L .77312 .4249 L p .65 .572 .754 r F P s P p .002 w .77025 .417 m .75557 .4238 L .75285 .41609 L p .647 .565 .749 r F P s P p .002 w .74865 .35097 m .73443 .35846 L .73247 .35168 L p .612 .506 .709 r F P s P p .002 w .73247 .35168 m .74663 .34411 L .74865 .35097 L p .612 .506 .709 r F P s P p .002 w .75074 .35792 m .73645 .36532 L .73443 .35846 L p .616 .512 .713 r F P s P p .002 w .73443 .35846 m .74865 .35097 L .75074 .35792 L p .616 .512 .713 r F P s P p .002 w .75285 .41609 m .76749 .40922 L .77025 .417 L p .647 .565 .749 r F P s P p .002 w .76749 .40922 m .75285 .41609 L .75023 .40851 L p .643 .558 .744 r F P s P p .002 w .77922 .44113 m .79405 .43447 L .79731 .44285 L p .66 .594 .77 r F P s P p .002 w .79405 .43447 m .77922 .44113 L .77611 .43294 L p .657 .587 .765 r F P s P p .002 w .75289 .36495 m .73855 .37227 L .73645 .36532 L p .62 .519 .717 r F P s P p .002 w .73645 .36532 m .75074 .35792 L .75289 .36495 L p .62 .519 .717 r F P s P p .002 w .75023 .40851 m .76484 .40157 L .76749 .40922 L p .643 .558 .744 r F P s P p .002 w .76484 .40157 m .75023 .40851 L .74771 .40104 L p .64 .552 .739 r F P s P p .002 w .53415 .63709 m .53242 .65365 L .53225 .64817 L p 0 0 .227 r F P s P p .002 w .24315 .44848 m .25613 .47617 L .22377 .44533 L p .551 .731 .959 r F P s P p .002 w .23457 .47109 m .22377 .44533 L .25613 .47617 L p .584 .732 .945 r F P s P p .002 w .75512 .37207 m .74071 .37931 L .73855 .37227 L p .624 .525 .721 r F P s P p .002 w .73855 .37227 m .75289 .36495 L .75512 .37207 L p .624 .525 .721 r F P s P p .002 w .74771 .40104 m .76227 .39404 L .76484 .40157 L p .64 .552 .739 r F P s P p .002 w .76227 .39404 m .74771 .40104 L .74529 .39369 L p .636 .545 .735 r F P s P p .002 w .75742 .37929 m .74296 .38645 L .74071 .37931 L p .628 .532 .726 r F P s P p .002 w .74071 .37931 m .75512 .37207 L .75742 .37929 L p .628 .532 .726 r F P s P p .002 w .74529 .39369 m .7598 .38661 L .76227 .39404 L p .636 .545 .735 r F P s P p .002 w .7598 .38661 m .74529 .39369 L .74296 .38645 L p .632 .538 .73 r F P s P p .002 w .74296 .38645 m .75742 .37929 L .7598 .38661 L p .632 .538 .73 r F P s P p .002 w .75503 .31621 m .74093 .32401 L .73914 .31745 L p .599 .487 .697 r F P s P p .002 w .73914 .31745 m .75318 .30958 L .75503 .31621 L p .599 .487 .697 r F P s P p .002 w .77611 .43294 m .79093 .42624 L .79405 .43447 L p .657 .587 .765 r F P s P p .002 w .79093 .42624 m .77611 .43294 L .77312 .4249 L p .654 .58 .76 r F P s P p .002 w .75694 .32292 m .74277 .33063 L .74093 .32401 L p .603 .493 .701 r F P s P p .002 w .74093 .32401 m .75503 .31621 L .75694 .32292 L p .603 .493 .701 r F P s P p .002 w .77312 .4249 m .78792 .41814 L .79093 .42624 L p .654 .58 .76 r F P s P p .002 w .78792 .41814 m .77312 .4249 L .77025 .417 L p .651 .574 .755 r F P s P p .002 w .22377 .44533 m .23457 .47109 L .20355 .44152 L p .56 .732 .955 r F P s P p .002 w .21277 .46587 m .20355 .44152 L .23457 .47109 L p .589 .731 .942 r F P s P p .002 w .7589 .3297 m .74467 .33733 L .74277 .33063 L p .607 .499 .705 r F P s P p .002 w .74277 .33063 m .75694 .32292 L .7589 .3297 L p .607 .499 .705 r F P s P p .002 w .53466 .6429 m .53257 .65912 L .53242 .65365 L p 0 0 .227 r F P s P p .002 w .53242 .65365 m .53415 .63709 L .53466 .6429 L p 0 0 .227 r F P s P p .002 w .77025 .417 m .78502 .41018 L .78792 .41814 L p .651 .574 .755 r F P s P p .002 w .78502 .41018 m .77025 .417 L .76749 .40922 L p .648 .567 .75 r F P s P p .002 w .76092 .33656 m .74663 .34411 L .74467 .33733 L p .611 .505 .708 r F P s P p .002 w .74467 .33733 m .7589 .3297 L .76092 .33656 L p .611 .505 .708 r F P s P p .002 w .76749 .40922 m .78223 .40234 L .78502 .41018 L p .648 .567 .75 r F P s P p .002 w .78223 .40234 m .76749 .40922 L .76484 .40157 L p .645 .561 .746 r F P s P p .002 w .76299 .3435 m .74865 .35097 L .74663 .34411 L p .615 .511 .712 r F P s P p .002 w .74663 .34411 m .76092 .33656 L .76299 .3435 L p .615 .511 .712 r F P s P p .002 w .37011 .4945 m .29384 .42613 L .30428 .42492 L p .497 .733 .978 r F P s P p .002 w .30428 .42492 m .37398 .4848 L p .37011 .4945 L .497 .733 .978 r F P s P p .002 w .29384 .42613 m .37011 .4945 L .29044 .42371 L closepath p .565 .766 .973 r F P s P p .002 w .76514 .35052 m .75074 .35792 L .74865 .35097 L p .619 .517 .716 r F P s P p .002 w .74865 .35097 m .76299 .3435 L .76514 .35052 L p .619 .517 .716 r F P s P p .002 w .76484 .40157 m .77953 .39462 L .78223 .40234 L p .645 .561 .746 r F P s P p .002 w .77953 .39462 m .76484 .40157 L .76227 .39404 L p .641 .554 .741 r F P s P p .002 w .76735 .35763 m .75289 .36495 L .75074 .35792 L p .623 .523 .72 r F P s P p .002 w .75074 .35792 m .76514 .35052 L .76735 .35763 L p .623 .523 .72 r F P s P p .002 w .20355 .44152 m .21277 .46587 L .18273 .43725 L p .567 .732 .952 r F P s P p .002 w .19077 .46052 m .18273 .43725 L .21277 .46587 L p .593 .731 .94 r F P s P p .002 w .76227 .39404 m .77693 .38702 L .77953 .39462 L p .641 .554 .741 r F P s P p .002 w .77693 .38702 m .76227 .39404 L .7598 .38661 L p .638 .548 .737 r F P s P p .002 w .76963 .36483 m .75512 .37207 L .75289 .36495 L p .627 .529 .724 r F P s P p .002 w .75289 .36495 m .76735 .35763 L .76963 .36483 L p .627 .529 .724 r F P s P p .002 w .7598 .38661 m .77441 .37952 L .77693 .38702 L p .638 .548 .737 r F P s P p .002 w .77441 .37952 m .7598 .38661 L .75742 .37929 L p .634 .542 .732 r F P s P p .002 w .77198 .37213 m .75742 .37929 L .75512 .37207 L p .63 .535 .728 r F P s P p .002 w .75512 .37207 m .76963 .36483 L .77198 .37213 L p .63 .535 .728 r F P s P p .002 w .75742 .37929 m .77198 .37213 L .77441 .37952 L p .634 .542 .732 r F P s P p .002 w .19077 .46052 m .16889 .43971 L .18107 .43689 L p .573 .731 .95 r F P s P p .002 w .18273 .43725 m .19077 .46052 L p .18107 .43689 L .573 .731 .95 r F P s P p .002 w .16889 .43971 m .19077 .46052 L p .1686 .45508 L .596 .73 .938 r F P s P p .002 w .1686 .45508 m .16409 .44089 L .16889 .43971 L p .596 .73 .938 r F P s P p .002 w .16409 .44089 m .1686 .45508 L .15575 .44288 L closepath p .592 .727 .938 r F P s P p .002 w .15575 .44288 m .1686 .45508 L p .14628 .44955 L .599 .73 .936 r F P s P p .002 w .14628 .44955 m .1451 .44556 L .15575 .44288 L p .599 .73 .936 r F P s P p .002 w .1451 .44556 m .14628 .44955 L .14268 .44615 L closepath p .595 .727 .936 r F P s P p .002 w .13771 .44742 m .14268 .44615 L .14628 .44955 L p .601 .729 .935 r F P s P p .002 w .3154 .42471 m .31657 .42522 L p .37398 .4848 L .552 .764 .976 r F P s P p .002 w .53279 .62294 m .53466 .6429 L .53415 .63709 L p 0 0 .223 r F P s P p .002 w .22377 .44533 m .21343 .43093 L .22214 .42939 L p .551 .731 .959 r F P s P p .002 w .22214 .42939 m .24315 .44848 L p .22377 .44533 L .551 .731 .959 r F P s P p .002 w .21343 .43093 m .22377 .44533 L .20872 .43158 L closepath p .527 .719 .961 r F P s P p .002 w .20872 .43158 m .22377 .44533 L p .20355 .44152 L .56 .732 .955 r F P s P p .002 w .20355 .44152 m .19831 .43355 L .20872 .43158 L p .56 .732 .955 r F P s P p .002 w .19831 .43355 m .20355 .44152 L .19538 .43403 L closepath p .543 .722 .957 r F P s P p .002 w .19538 .43403 m .20355 .44152 L p .18273 .43725 L .567 .732 .952 r F P s P p .002 w .24315 .44848 m .22764 .42879 L .23564 .4275 L p .54 .731 .963 r F P s P p .002 w .23564 .4275 m .26128 .45061 L p .24315 .44848 L .54 .731 .963 r F P s P p .002 w .22764 .42879 m .24315 .44848 L .22214 .42939 L closepath p .505 .713 .965 r F P s P p .002 w .18273 .43725 m .18236 .43663 L .19538 .43403 L p .567 .732 .952 r F P s P p .002 w .18236 .43663 m .18273 .43725 L .18211 .43667 L closepath p .554 .725 .953 r F P s P p .002 w .18107 .43689 m .18211 .43667 L .18273 .43725 L p .573 .731 .95 r F P s P p .002 w .26128 .45061 m .2409 .42717 L .24921 .42597 L p .526 .729 .967 r F P s P p .002 w .24921 .42597 m .27734 .45105 L p .26128 .45061 L .526 .729 .967 r F P s P p .002 w .2409 .42717 m .26128 .45061 L .23564 .4275 L closepath p .469 .701 .969 r F P s P p .002 w .27734 .45105 m .25328 .42601 L .26286 .42482 L p .509 .728 .972 r F P s P p .002 w .26286 .42482 m .28959 .44831 L p .27734 .45105 L .509 .728 .972 r F P s P p .002 w .25328 .42601 m .27734 .45105 L .24921 .42597 L closepath p .406 .676 .971 r F P s P p .002 w .28959 .44831 m .26506 .42518 L .27661 .42397 L p .492 .726 .976 r F P s P p .002 w .27661 .42397 m .29338 .43843 L p .28959 .44831 L .492 .726 .976 r F P s P p .002 w .26506 .42518 m .28959 .44831 L .26286 .42482 L closepath p .25 .597 .95 r F P s P p .002 w .52441 .59685 m .53279 .62294 L .53143 .61636 L p 0 0 .296 r F P s P p .002 w .28301 .4237 m .28777 .42407 L p .29338 .43843 L .487 .73 .979 r F P s P p .002 w .277 .42432 m .29338 .43843 L .27661 .42397 L closepath p .572 .767 .971 r F P s P p .002 w .29338 .43843 m .277 .42432 L .28301 .4237 L p .487 .73 .979 r F P s P p .002 w .50419 .55972 m .52441 .59685 L .52111 .58852 L p 0 0 .45 r F P s P p .002 w .45897 .49933 m .50419 .55972 L .49613 .54706 L p 0 .14 .655 r F P s P p .002 w .45126 .49093 m .45897 .49933 L .45013 .48914 L closepath p .708 .241 0 r F P s P p .002 w .66295 .02755 m .90359 .41965 L s .90359 .41965 m .97245 .92345 L s .97245 .92345 m .69507 .58075 L s .69507 .58075 m .66295 .02755 L s .11113 .25957 m .02755 .78701 L s .02755 .78701 m .69507 .58075 L s .69507 .58075 m .66295 .02755 L s .66295 .02755 m .11113 .25957 L s P p p .002 w .11113 .25957 m .66295 .02755 L s P p .002 w .12286 .25464 m .12766 .25957 L s P [(-1)] .11326 .24476 .97192 1 Mshowa p .002 w .24366 .20385 m .24822 .209 L s P [(-0.5)] .23453 .19353 .88455 1 Mshowa p .002 w .3711 .15026 m .37539 .15565 L s P [(0)] .36251 .13949 .79718 1 Mshowa p .002 w .50575 .09364 m .50974 .09926 L s P [(0.5)] .49778 .08241 .70982 1 Mshowa p .002 w .64825 .03373 m .65189 .03958 L s P [(1)] .64097 .02204 .62245 1 Mshowa p .001 w .14652 .24469 m .14937 .24768 L s P p .001 w .17042 .23464 m .17324 .23766 L s P p .001 w .19457 .22448 m .19737 .22753 L s P p .001 w .21898 .21422 m .22175 .21729 L s P p .001 w .2686 .19336 m .2713 .19648 L s P p .001 w .29381 .18276 m .29648 .18591 L s P p .001 w .31929 .17204 m .32193 .17522 L s P p .001 w .34505 .16121 m .34766 .16442 L s P p .001 w .39743 .13919 m .39998 .14245 L s P p .001 w .42406 .12799 m .42657 .13128 L s P p .001 w .45099 .11667 m .45346 .11998 L s P p .001 w .47822 .10522 m .48065 .10856 L s P p .001 w .5336 .08193 m .53596 .08533 L s P p .001 w .56177 .07009 m .56408 .07351 L s P p .001 w .59027 .05811 m .59253 .06156 L s P p .001 w .61909 .04599 m .62132 .04947 L s P P p p .002 w .02755 .78701 m .40586 1.05324 L s P p .002 w .0385 .79471 m .03955 .78791 L s P [(-1)] .03639 .80832 .1546 -1 Mshowa p .002 w .14322 .86841 m .14403 .86157 L s P [(-0.5)] .1416 .88209 .11854 -1 Mshowa p .002 w .23715 .93451 m .23775 .92765 L s P [(0)] .23595 .94823 .08756 -1 Mshowa p .002 w .32188 .99414 m .3223 .98727 L s P [(0.5)] .32105 1.00789 .06068 -1 Mshowa p .002 w .3987 1.0482 m .39895 1.04131 L s P [(1)] .39818 1.06196 .03712 -1 Mshowa p .001 w .06039 .81012 m .06099 .80603 L s P p .001 w .0818 .82518 m .08237 .82109 L s P p .001 w .10273 .83991 m .10327 .83582 L s P p .001 w .1232 .85432 m .12371 .85022 L s P p .001 w .16282 .8822 m .16328 .87809 L s P p .001 w .18199 .89569 m .18243 .89159 L s P p .001 w .20077 .90891 m .20118 .90479 L s P p .001 w .21915 .92184 m .21953 .91773 L s P p .001 w .25479 .94693 m .25513 .94281 L s P p .001 w .27207 .95909 m .27239 .95497 L s P p .001 w .28901 .971 m .2893 .96688 L s P p .001 w .30561 .98269 m .30588 .97856 L s P p .001 w .33784 1.00537 m .33807 1.00124 L s P p .001 w .35349 1.01639 m .3537 1.01226 L s P p .001 w .36885 1.02719 m .36904 1.02306 L s P p .001 w .38391 1.03779 m .38408 1.03366 L s P P p p .002 w .11113 .25957 m .02755 .78701 L s P p .002 w .09799 .34251 m .10437 .33993 L s P [(-5)] .08521 .34766 1 -0.40321 Mshowa p .002 w .07317 .49909 m .07963 .4967 L s P [(0)] .06026 .50388 1 -0.37036 Mshowa p .002 w .04529 .675 m .05183 .67283 L s P [(5)] .03223 .67936 1 -0.33301 Mshowa p .001 w .09324 .37243 m .09708 .37091 L s P p .001 w .08839 .40303 m .09224 .40153 L s P p .001 w .08344 .43432 m .08729 .43284 L s P p .001 w .07836 .46634 m .08223 .46488 L s P p .001 w .06786 .53262 m .07174 .53121 L s P p .001 w .06242 .56695 m .06631 .56556 L s P p .001 w .05685 .6021 m .06075 .60074 L s P p .001 w .05114 .63811 m .05505 .63677 L s P p .001 w .10262 .31323 m .10645 .31167 L s P p .001 w .10716 .28459 m .11098 .283 L s P p .001 w .0393 .71283 m .04323 .71155 L s P p .001 w .03316 .7516 m .0371 .75036 L s P P p P % End of Graphics MathPictureEnd ^*) No Input Form was saved for this expression. ;[o] -Graphics3D- ^*)