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Chin Computer Information Systems Department College of Business Admnistration Southwest Missouri State University Springfield, MO 65804 JMC808F@SMSVA.BITNET :[font = subsubtitle; inactive; preserveAspect; endGroup; ] (Mathematica version 2.1) :[font = input; initialization; preserveAspect; ] *) e1 = -L P000 + u P001 == 0; e2 = - u P100 + u P101 == 0; e3 = -(L+u) P001 + u P011 == 0; e4 = -2 u P101 + L P011 + u P111 == 0 ; e5 = -(L+u) P011 + u P111 + u Pb11 == 0; e6 = -(L+u) P111 + L P011 == 0; e7 = - u Pb11 + u P111 == 0; e8 = P000+P100+P001+P101+P011+P111+Pb11 == 1; vars = {P000,P100,P001,P101,P011,P111,Pb11}; eqns = {e1,e2,e3,e4,e5,e6,e8}; (* :[font = input; initialization; preserveAspect; ] *) solns = Factor[ Solve[eqns,vars] ]; (* :[font = input; Cclosed; preserveAspect; startGroup; ] Table[{solns[[1,j,1]],Factor[solns[[1,j,2]] ]}, {j,1,7}] //ColumnForm :[font = output; output; inactive; preserveAspect; fontLeading = 0; endGroup; ] {P000, u^3/(2*L^3 + 5*L^2*u + 3*L*u^2 + u^3)} {P100, (L^2*(L + 2*u))/ (2*(2*L^3 + 5*L^2*u + 3*L*u^2 + u^3))} {P001, (L*u^2)/(2*L^3 + 5*L^2*u + 3*L*u^2 + u^3)} {P101, (L^2*(L + 2*u))/ (2*(2*L^3 + 5*L^2*u + 3*L*u^2 + u^3))} {P011, (L*u*(L + u))/(2*L^3 + 5*L^2*u + 3*L*u^2 + u^3)} {P111, (L^2*u)/(2*L^3 + 5*L^2*u + 3*L*u^2 + u^3)} {Pb11, (L*(L^2 + L*u + u^2))/ (2*L^3 + 5*L^2*u + 3*L*u^2 + u^3)} ;[o] 3 u {P000, ---------------------------} 3 2 2 3 2 L + 5 L u + 3 L u + u 2 L (L + 2 u) {P100, -------------------------------} 3 2 2 3 2 (2 L + 5 L u + 3 L u + u ) 2 L u {P001, ---------------------------} 3 2 2 3 2 L + 5 L u + 3 L u + u 2 L (L + 2 u) {P101, -------------------------------} 3 2 2 3 2 (2 L + 5 L u + 3 L u + u ) L u (L + u) {P011, ---------------------------} 3 2 2 3 2 L + 5 L u + 3 L u + u 2 L u {P111, ---------------------------} 3 2 2 3 2 L + 5 L u + 3 L u + u 2 2 L (L + L u + u ) {Pb11, ---------------------------} 3 2 2 3 2 L + 5 L u + 3 L u + u :[font = section; inactive; Cclosed; preserveAspect; startGroup; ] Figure 1 :[font = input; Cclosed; preserveAspect; startGroup; ] AvgNum = Factor[Sum[1 solns[[1,i,2]], {i,2,3}]] + Factor[2 Sum[solns[[1,i,2]], {i,4,5}]] + Factor[3 Sum[solns[[1,i,2]], {i,6,7}]] //Together :[font = output; output; inactive; preserveAspect; endGroup; ] (9*L^3 + 22*L^2*u + 12*L*u^2)/ (2*(2*L^3 + 5*L^2*u + 3*L*u^2 + u^3)) ;[o] 3 2 2 9 L + 22 L u + 12 L u ------------------------------- 3 2 2 3 2 (2 L + 5 L u + 3 L u + u ) :[font = input; Cclosed; preserveAspect; startGroup; ] Plot3D[AvgNum,{L,1,10},{u,1,8}]; :[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 34; pictureWidth = 282; pictureHeight = 231; endGroup; endGroup; ] %! %%Creator: Mathematica %%AspectRatio: .82055 MathPictureStart %% SurfaceGraphics /Courier findfont 8 scalefont setfont % Scaling calculations 0.024936 0.99742 -0.039634 0.99742 [ [(2)] .11298 .23449 1 .97619 Msboxa [(4)] .24165 .18387 .93173 1 Msboxa [(6)] .37738 .13048 .83907 1 Msboxa [(8)] .52077 .07411 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.82055 L 0 .82055 L closepath clip newpath p .002 w .06024 .26735 m .02494 .49015 L s .02494 .49015 m .40296 .79562 L s .40296 .79562 m .41001 .59401 L s .41001 .59401 m .06024 .26735 L s .67932 .02494 m .94594 .43277 L s .94594 .43277 m .97506 .64585 L s .97506 .64585 m .69286 .25814 L s .69286 .25814 m .67932 .02494 L s .06024 .26735 m .02494 .49015 L s .02494 .49015 m .69286 .25814 L s .69286 .25814 m .67932 .02494 L s .67932 .02494 m .06024 .26735 L s .41001 .59401 m .94594 .43277 L s .94594 .43277 m .97506 .64585 L s .97506 .64585 m .40296 .79562 L s .40296 .79562 m .41001 .59401 L s P p .664 .762 .923 r .001 w .38784 .6059 .40898 .62353 .44418 .61285 .42337 .59492 Metetra .664 .761 .923 r .42337 .59492 .44418 .61285 .47987 .60205 .45939 .58382 Metetra .663 .761 .922 r .45939 .58382 .47987 .60205 .51605 .59113 .49592 .57259 Metetra .663 .76 .922 r .49592 .57259 .51605 .59113 .55273 .58006 .53295 .56122 Metetra .663 .76 .922 r .53295 .56122 .55273 .58006 .58992 .56887 .57052 .54971 Metetra .663 .76 .922 r .57052 .54971 .58992 .56887 .62764 .55753 .60862 .53806 Metetra .663 .76 .922 r .60862 .53806 .62764 .55753 .6659 .54604 .64728 .52626 Metetra .663 .759 .922 r .64728 .52626 .6659 .54604 .70471 .5344 .68649 .5143 Metetra .662 .759 .922 r .68649 .5143 .70471 .5344 .74408 .52261 .72628 .50217 Metetra .662 .759 .922 r .72628 .50217 .74408 .52261 .78403 .51065 .76666 .48988 Metetra .662 .759 .922 r .76666 .48988 .78403 .51065 .82456 .49853 .80765 .47742 Metetra .662 .759 .922 r .80765 .47742 .82456 .49853 .86569 .48624 .84925 .46479 Metetra .662 .759 .922 r .84925 .46479 .86569 .48624 .90744 .47377 .89147 .45197 Metetra .662 .758 .922 r .89147 .45197 .90744 .47377 .94982 .46113 .93435 .43896 Metetra .664 .764 .924 r .36611 .58803 .38784 .6059 .42337 .59492 .40198 .57673 Metetra .664 .764 .924 r .40198 .57673 .42337 .59492 .45939 .58382 .43835 .56531 Metetra .664 .763 .924 r .43835 .56531 .45939 .58382 .49592 .57259 .47523 .55375 Metetra .663 .763 .924 r .47523 .55375 .49592 .57259 .53295 .56122 .51263 .54207 Metetra .663 .762 .924 r .51263 .54207 .53295 .56122 .57052 .54971 .55058 .53023 Metetra .663 .762 .924 r .55058 .53023 .57052 .54971 .60862 .53806 .58907 .51825 Metetra .663 .762 .924 r .58907 .51825 .60862 .53806 .64728 .52626 .62813 .50612 Metetra .663 .761 .923 r .62813 .50612 .64728 .52626 .68649 .5143 .66777 .49382 Metetra .662 .761 .923 r .66777 .49382 .68649 .5143 .72628 .50217 .70799 .48136 Metetra .662 .761 .923 r .70799 .48136 .72628 .50217 .76666 .48988 .74882 .46872 Metetra .662 .761 .923 r .74882 .46872 .76666 .48988 .80765 .47742 .79026 .45591 Metetra .662 .761 .923 r .79026 .45591 .80765 .47742 .84925 .46479 .83234 .44291 Metetra .662 .761 .923 r .83234 .44291 .84925 .46479 .89147 .45197 .87506 .42972 Metetra .662 .76 .923 r .87506 .42972 .89147 .45197 .93435 .43896 .91845 .41634 Metetra .665 .767 .926 r .34378 .56995 .36611 .58803 .40198 .57673 .37999 .55831 Metetra .664 .766 .926 r .37999 .55831 .40198 .57673 .43835 .56531 .41671 .54655 Metetra .664 .766 .926 r .41671 .54655 .43835 .56531 .47523 .55375 .45396 .53466 Metetra .664 .765 .926 r .45396 .53466 .47523 .55375 .51263 .54207 .49174 .52264 Metetra .663 .765 .926 r .49174 .52264 .51263 .54207 .55058 .53023 .53007 .51047 Metetra .663 .765 .925 r .53007 .51047 .55058 .53023 .58907 .51825 .56897 .49814 Metetra .663 .764 .925 r .56897 .49814 .58907 .51825 .62813 .50612 .60844 .48566 Metetra .663 .764 .925 r .60844 .48566 .62813 .50612 .66777 .49382 .64851 .47301 Metetra .662 .764 .925 r .64851 .47301 .66777 .49382 .70799 .48136 .68918 .46019 Metetra .662 .764 .925 r .68918 .46019 .70799 .48136 .74882 .46872 .73046 .44719 Metetra .662 .763 .925 r .73046 .44719 .74882 .46872 .79026 .45591 .77238 .43401 Metetra .662 .763 .925 r .77238 .43401 .79026 .45591 .83234 .44291 .81495 .42063 Metetra .662 .763 .925 r .81495 .42063 .83234 .44291 .87506 .42972 .85818 .40706 Metetra .662 .763 .925 r .85818 .40706 .87506 .42972 .91845 .41634 .9021 .39329 Metetra .665 .771 .929 r .32079 .55173 .34378 .56995 .37999 .55831 .35736 .53973 Metetra .665 .77 .928 r .35736 .53973 .37999 .55831 .41671 .54655 .39444 .52761 Metetra .664 .769 .928 r .39444 .52761 .41671 .54655 .45396 .53466 .43207 .51537 Metetra .664 .769 .928 r .43207 .51537 .45396 .53466 .49174 .52264 .47024 .50298 Metetra .663 .768 .928 r .47024 .50298 .49174 .52264 .53007 .51047 .50897 .49045 Metetra .663 .768 .928 r .50897 .49045 .53007 .51047 .56897 .49814 .54828 .47777 Metetra .663 .768 .928 r .54828 .47777 .56897 .49814 .60844 .48566 .58818 .46492 Metetra .663 .767 .928 r .58818 .46492 .60844 .48566 .64851 .47301 .62869 .4519 Metetra .662 .767 .927 r .62869 .4519 .64851 .47301 .68918 .46019 .66982 .43871 Metetra .662 .767 .927 r .66982 .43871 .68918 .46019 .73046 .44719 .71158 .42533 Metetra .662 .766 .927 r .71158 .42533 .73046 .44719 .77238 .43401 .75399 .41176 Metetra .662 .766 .927 r .75399 .41176 .77238 .43401 .81495 .42063 .79706 .39799 Metetra .662 .766 .927 r .79706 .39799 .81495 .42063 .85818 .40706 .84082 .38402 Metetra .662 .766 .927 r .84082 .38402 .85818 .40706 .9021 .39329 .88528 .36983 Metetra .666 .776 .931 r .29711 .53345 .32079 .55173 .35736 .53973 .33405 .52106 Metetra .665 .775 .931 r .33405 .52106 .35736 .53973 .39444 .52761 .37151 .50856 Metetra .664 .774 .931 r .37151 .50856 .39444 .52761 .43207 .51537 .40952 .49593 Metetra .664 .773 .931 r .40952 .49593 .43207 .51537 .47024 .50298 .44809 .48317 Metetra .663 .773 .931 r .44809 .48317 .47024 .50298 .50897 .49045 .48724 .47026 Metetra .663 .772 .931 r .48724 .47026 .50897 .49045 .54828 .47777 .52698 .4572 Metetra .663 .772 .93 r .52698 .4572 .54828 .47777 .58818 .46492 .56732 .44397 Metetra .662 .771 .93 r .56732 .44397 .58818 .46492 .62869 .4519 .60829 .43057 Metetra .662 .771 .93 r .60829 .43057 .62869 .4519 .66982 .43871 .64988 .41698 Metetra .662 .771 .93 r .64988 .41698 .66982 .43871 .71158 .42533 .69213 .4032 Metetra .662 .77 .93 r .69213 .4032 .71158 .42533 .75399 .41176 .73505 .38923 Metetra .662 .77 .93 r .73505 .38923 .75399 .41176 .79706 .39799 .77865 .37505 Metetra .662 .77 .93 r .77865 .37505 .79706 .39799 .84082 .38402 .82295 .36066 Metetra .661 .77 .93 r .82295 .36066 .84082 .38402 .88528 .36983 .86797 .34604 Metetra .666 .782 .935 r .27269 .51524 .29711 .53345 .33405 .52106 .31001 .50242 Metetra .665 .781 .935 r .31001 .50242 .33405 .52106 .37151 .50856 .34786 .4895 Metetra .665 .78 .935 r .34786 .4895 .37151 .50856 .40952 .49593 .38628 .47647 Metetra .664 .779 .934 r .38628 .47647 .40952 .49593 .44809 .48317 .42527 .46331 Metetra .664 .778 .934 r .42527 .46331 .44809 .48317 .48724 .47026 .46484 .45001 Metetra .663 .777 .934 r .46484 .45001 .48724 .47026 .52698 .4572 .50502 .43654 Metetra .663 .777 .934 r .50502 .43654 .52698 .4572 .56732 .44397 .54582 .42291 Metetra .662 .776 .934 r .54582 .42291 .56732 .44397 .60829 .43057 .58726 .4091 Metetra .662 .776 .934 r .58726 .4091 .60829 .43057 .64988 .41698 .62935 .3951 Metetra .662 .776 .934 r .62935 .3951 .64988 .41698 .69213 .4032 .67211 .38091 Metetra .662 .775 .934 r .67211 .38091 .69213 .4032 .73505 .38923 .71555 .36651 Metetra .661 .775 .933 r .71555 .36651 .73505 .38923 .77865 .37505 .75969 .3519 Metetra .661 .775 .933 r .75969 .3519 .77865 .37505 .82295 .36066 .80456 .33707 Metetra .661 .775 .933 r .80456 .33707 .82295 .36066 .86797 .34604 .85016 .32201 Metetra .667 .79 .94 r .24746 .49728 .27269 .51524 .31001 .50242 .28518 .48399 Metetra .666 .788 .94 r .28518 .48399 .31001 .50242 .34786 .4895 .32345 .47063 Metetra .665 .787 .939 r .32345 .47063 .34786 .4895 .38628 .47647 .36228 .45716 Metetra .664 .786 .939 r .36228 .45716 .38628 .47647 .42527 .46331 .4017 .44357 Metetra .664 .785 .939 r .4017 .44357 .42527 .46331 .46484 .45001 .44173 .42984 Metetra .663 .784 .939 r .44173 .42984 .46484 .45001 .50502 .43654 .48237 .41595 Metetra .662 .784 .939 r .48237 .41595 .50502 .43654 .54582 .42291 .52365 .4019 Metetra .662 .783 .938 r .52365 .4019 .54582 .42291 .58726 .4091 .56558 .38766 Metetra .662 .783 .938 r .56558 .38766 .58726 .4091 .62935 .3951 .60817 .37323 Metetra .661 .782 .938 r .60817 .37323 .62935 .3951 .67211 .38091 .65146 .3586 Metetra .661 .782 .938 r .65146 .3586 .67211 .38091 .71555 .36651 .69545 .34376 Metetra .661 .782 .938 r .69545 .34376 .71555 .36651 .75969 .3519 .74016 .3287 Metetra .661 .781 .938 r .74016 .3287 .75969 .3519 .80456 .33707 .78562 .31341 Metetra .661 .781 .938 r .78562 .31341 .80456 .33707 .85016 .32201 .83184 .29788 Metetra .668 .801 .946 r .22133 .47988 .24746 .49728 .28518 .48399 .25948 .46606 Metetra .667 .799 .946 r .25948 .46606 .28518 .48399 .32345 .47063 .29818 .4522 Metetra .665 .797 .945 r .29818 .4522 .32345 .47063 .36228 .45716 .33746 .43826 Metetra .664 .796 .945 r .33746 .43826 .36228 .45716 .4017 .44357 .37734 .4242 Metetra .663 .795 .945 r .37734 .4242 .4017 .44357 .44173 .42984 .41783 .41002 Metetra .663 .794 .945 r .41783 .41002 .44173 .42984 .48237 .41595 .45896 .39568 Metetra .662 .793 .945 r .45896 .39568 .48237 .41595 .52365 .4019 .50074 .38118 Metetra .661 .792 .944 r .50074 .38118 .52365 .4019 .56558 .38766 .54319 .36649 Metetra .661 .792 .944 r .54319 .36649 .56558 .38766 .60817 .37323 .58632 .35161 Metetra .661 .791 .944 r .58632 .35161 .60817 .37323 .65146 .3586 .63016 .33652 Metetra .66 .791 .944 r .63016 .33652 .65146 .3586 .69545 .34376 .67473 .32122 Metetra .66 .791 .944 r .67473 .32122 .69545 .34376 .74016 .3287 .72004 .30568 Metetra .66 .79 .944 r .72004 .30568 .74016 .3287 .78562 .31341 .76611 .28991 Metetra .66 .79 .944 r .76611 .28991 .78562 .31341 .83184 .29788 .81297 .27389 Metetra .669 .817 .954 r .19418 .46351 .22133 .47988 .25948 .46606 .23279 .44908 Metetra .667 .814 .954 r .23279 .44908 .25948 .46606 .29818 .4522 .27197 .43466 Metetra .665 .811 .954 r .27197 .43466 .29818 .4522 .33746 .43826 .31172 .42019 Metetra .663 .81 .953 r .31172 .42019 .33746 .43826 .37734 .4242 .35209 .40563 Metetra .662 .808 .953 r .35209 .40563 .37734 .4242 .41783 .41002 .39308 .39096 Metetra .661 .807 .953 r .39308 .39096 .41783 .41002 .45896 .39568 .43472 .37615 Metetra .661 .806 .953 r .43472 .37615 .45896 .39568 .50074 .38118 .47703 .36117 Metetra .66 .805 .953 r .47703 .36117 .50074 .38118 .54319 .36649 .52003 .34601 Metetra .66 .805 .953 r .52003 .34601 .54319 .36649 .58632 .35161 .56374 .33065 Metetra .659 .804 .953 r .56374 .33065 .58632 .35161 .63016 .33652 .60817 .31508 Metetra .659 .804 .952 r .60817 .31508 .63016 .33652 .67473 .32122 .65335 .29929 Metetra .659 .803 .952 r .65335 .29929 .67473 .32122 .72004 .30568 .69929 .28326 Metetra .658 .803 .952 r .69929 .28326 .72004 .30568 .76611 .28991 .74603 .26698 Metetra .658 .803 .952 r .74603 .26698 .76611 .28991 .81297 .27389 .79357 .25045 Metetra .669 .84 .965 r .16583 .44899 .19418 .46351 .23279 .44908 .20496 .43382 Metetra .666 .835 .965 r .20496 .43382 .23279 .44908 .27197 .43466 .24465 .41874 Metetra .663 .832 .965 r .24465 .41874 .27197 .43466 .31172 .42019 .28493 .40368 Metetra .661 .83 .965 r .28493 .40368 .31172 .42019 .35209 .40563 .32582 .38858 Metetra .66 .828 .964 r .32582 .38858 .35209 .40563 .39308 .39096 .36736 .37338 Metetra .658 .827 .964 r .36736 .37338 .39308 .39096 .43472 .37615 .40956 .35805 Metetra .658 .826 .964 r .40956 .35805 .43472 .37615 .47703 .36117 .45244 .34257 Metetra .657 .825 .964 r .45244 .34257 .47703 .36117 .52003 .34601 .49603 .32691 Metetra .656 .824 .964 r .49603 .32691 .52003 .34601 .56374 .33065 .54035 .31105 Metetra .656 .823 .964 r .54035 .31105 .56374 .33065 .60817 .31508 .58542 .29498 Metetra .655 .823 .964 r .58542 .29498 .60817 .31508 .65335 .29929 .63126 .27867 Metetra .655 .822 .964 r .63126 .27867 .65335 .29929 .69929 .28326 .67789 .26212 Metetra .655 .822 .964 r .67789 .26212 .69929 .28326 .74603 .26698 .72534 .24532 Metetra .654 .821 .964 r .72534 .24532 .74603 .26698 .79357 .25045 .77362 .22825 Metetra .664 .874 .978 r .13598 .43777 .16583 .44899 .20496 .43382 .17571 .42167 Metetra .659 .868 .978 r .17571 .42167 .20496 .43382 .24465 .41874 .21598 .40582 Metetra .656 .864 .978 r .21598 .40582 .24465 .41874 .28493 .40368 .25684 .39008 Metetra .653 .861 .979 r .25684 .39008 .28493 .40368 .32582 .38858 .29833 .37436 Metetra .651 .859 .979 r .29833 .37436 .32582 .38858 .36736 .37338 .34047 .35859 Metetra .65 .857 .979 r .34047 .35859 .36736 .37338 .40956 .35805 .38329 .34271 Metetra .648 .855 .979 r .38329 .34271 .40956 .35805 .45244 .34257 .42681 .32669 Metetra .647 .854 .979 r .42681 .32669 .45244 .34257 .49603 .32691 .47107 .3105 Metetra .647 .853 .979 r .47107 .3105 .49603 .32691 .54035 .31105 .51607 .29411 Metetra .646 .852 .979 r .51607 .29411 .54035 .31105 .58542 .29498 .56185 .27751 Metetra .646 .852 .979 r .56185 .27751 .58542 .29498 .63126 .27867 .60842 .26067 Metetra .645 .851 .979 r .60842 .26067 .63126 .27867 .67789 .26212 .65582 .24358 Metetra .645 .851 .979 r .65582 .24358 .67789 .26212 .72534 .24532 .70405 .22623 Metetra .645 .85 .979 r .70405 .22623 .72534 .24532 .77362 .22825 .75316 .2086 Metetra .637 .921 .977 r .10402 .43285 .13598 .43777 .17571 .42167 .1445 .41548 Metetra .63 .913 .981 r .1445 .41548 .17571 .42167 .21598 .40582 .18548 .39865 Metetra .625 .908 .983 r .18548 .39865 .21598 .40582 .25684 .39008 .22704 .3821 Metetra .621 .904 .985 r .22704 .3821 .25684 .39008 .29833 .37436 .26923 .36568 Metetra .618 .901 .986 r .26923 .36568 .29833 .37436 .34047 .35859 .31208 .34926 Metetra .617 .899 .987 r .31208 .34926 .34047 .35859 .38329 .34271 .35563 .33279 Metetra .615 .898 .987 r .35563 .33279 .38329 .34271 .42681 .32669 .3999 .3162 Metetra .614 .896 .988 r .3999 .3162 .42681 .32669 .47107 .3105 .44492 .29945 Metetra .613 .895 .988 r .44492 .29945 .47107 .3105 .51607 .29411 .49072 .28251 Metetra .613 .894 .988 r .49072 .28251 .51607 .29411 .56185 .27751 .53732 .26536 Metetra .612 .894 .988 r .53732 .26536 .56185 .27751 .60842 .26067 .58475 .24797 Metetra .612 .893 .989 r .58475 .24797 .60842 .26067 .65582 .24358 .63304 .23032 Metetra .611 .893 .989 r .63304 .23032 .65582 .24358 .70405 .22623 .6822 .2124 Metetra .611 .892 .989 r .6822 .2124 .70405 .22623 .75316 .2086 .73226 .19419 Metetra .481 .898 .838 r .06863 .44124 .10402 .43285 .1445 .41548 .11015 .42194 Metetra .47 .893 .853 r .11015 .42194 .1445 .41548 .18548 .39865 .15209 .40378 Metetra .464 .89 .862 r .15209 .40378 .18548 .39865 .22704 .3821 .19456 .38622 Metetra .459 .888 .869 r .19456 .38622 .22704 .3821 .26923 .36568 .23765 .36898 Metetra .456 .886 .873 r .23765 .36898 .26923 .36568 .31208 .34926 .28141 .35185 Metetra .454 .885 .876 r .28141 .35185 .31208 .34926 .35563 .33279 .32589 .33473 Metetra .453 .884 .879 r .32589 .33473 .35563 .33279 .3999 .3162 .37111 .31754 Metetra .452 .883 .88 r .37111 .31754 .3999 .3162 .44492 .29945 .41712 .30021 Metetra .452 .883 .882 r .41712 .30021 .44492 .29945 .49072 .28251 .46394 .28271 Metetra .451 .883 .883 r .46394 .28271 .49072 .28251 .53732 .26536 .5116 .265 Metetra .451 .882 .884 r .5116 .265 .53732 .26536 .58475 .24797 .56012 .24705 Metetra .451 .882 .885 r .56012 .24705 .58475 .24797 .63304 .23032 .60954 .22883 Metetra .451 .882 .886 r .60954 .22883 .63304 .23032 .6822 .2124 .65988 .21034 Metetra .45 .882 .887 r .65988 .21034 .6822 .2124 .73226 .19419 .71117 .19155 Metetra .026 0 0 r .02584 .48445 .06863 .44124 .11015 .42194 .06912 .46173 Metetra .052 0 0 r .06912 .46173 .11015 .42194 .15209 .40378 .11257 .44155 Metetra .066 0 0 r .11257 .44155 .15209 .40378 .19456 .38622 .15647 .42265 Metetra .075 0 0 r .15647 .42265 .19456 .38622 .23765 .36898 .20097 .40441 Metetra .08 0 0 r .20097 .40441 .23765 .36898 .28141 .35185 .24614 .38649 Metetra .083 0 0 r .24614 .38649 .28141 .35185 .32589 .33473 .29206 .3687 Metetra .086 0 0 r .29206 .3687 .32589 .33473 .37111 .31754 .33876 .35091 Metetra .087 0 0 r .33876 .35091 .37111 .31754 .41712 .30021 .38629 .33303 Metetra .089 0 0 r .38629 .33303 .41712 .30021 .46394 .28271 .43468 .315 Metetra .089 0 0 r .43468 .315 .46394 .28271 .5116 .265 .48397 .29677 Metetra .09 0 0 r .48397 .29677 .5116 .265 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