(* Content-type: application/mathematica *) (*** Wolfram Notebook File ***) (* http://www.wolfram.com/nb *) (* CreatedBy='Mathematica 6.0' *) (*CacheID: 234*) (* Internal cache information: NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 145, 7] NotebookDataLength[ 115458, 5592] NotebookOptionsPosition[ 114443, 5558] NotebookOutlinePosition[ 114784, 5573] CellTagsIndexPosition[ 114741, 5570] WindowFrame->Normal ContainsDynamic->False*) (* Beginning of Notebook Content *) Notebook[{ Cell[CellGroupData[{ Cell["Project - Random Reciprocal Polynomials", "Title", CellChangeTimes->{{3.420158344815921*^9, 3.420158345221427*^9}, 3.420158993772287*^9, {3.449681101895421*^9, 3.449681109293233*^9}}], Cell["\<\ The graph below shows the zeros of 100 random polynomials plotted in the \ complex plane. Each of these polynomials has degree 50 or less and its \ coefficients have been chosen randomly from {-1,0,1}. Since each polynomial \ has approximately 50 zeros, the number of points plotted is about \ 100*50=5000.\ \>", "Text"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: .7636 %%ImageSize: 576 439.834 MathPictureStart /Mabs { Mgmatrix idtransform Mtmatrix dtransform } bind def /Mabsadd { Mabs 3 -1 roll add 3 1 roll add exch } bind def %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.482053 0.259549 0.381801 0.259549 [ [.09273 .3693 -12 -9 ] [.09273 .3693 12 0 ] [.2225 .3693 -6 -9 ] [.2225 .3693 6 0 ] [.35228 .3693 -12 -9 ] [.35228 .3693 12 0 ] [.61183 .3693 -9 -9 ] [.61183 .3693 9 0 ] [.7416 .3693 -3 -9 ] [.7416 .3693 3 0 ] [.87138 .3693 -9 -9 ] [.87138 .3693 9 0 ] [.46955 .12225 -12 -4.5 ] [.46955 .12225 0 4.5 ] [.46955 .25203 -24 -4.5 ] [.46955 .25203 0 4.5 ] [.46955 .51157 -18 -4.5 ] [.46955 .51157 0 4.5 ] [.46955 .64135 -6 -4.5 ] [.46955 .64135 0 4.5 ] [ 0 0 0 0 ] [ 1 .7636 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash .09273 .3818 m .09273 .38805 L s [(-1.5)] .09273 .3693 0 1 Mshowa .2225 .3818 m .2225 .38805 L s [(-1)] .2225 .3693 0 1 Mshowa .35228 .3818 m .35228 .38805 L s [(-0.5)] .35228 .3693 0 1 Mshowa .61183 .3818 m .61183 .38805 L s [(0.5)] .61183 .3693 0 1 Mshowa .7416 .3818 m .7416 .38805 L s [(1)] .7416 .3693 0 1 Mshowa .87138 .3818 m .87138 .38805 L s [(1.5)] .87138 .3693 0 1 Mshowa .125 Mabswid .11868 .3818 m .11868 .38555 L s .14464 .3818 m .14464 .38555 L s .17059 .3818 m .17059 .38555 L s .19655 .3818 m .19655 .38555 L s .24846 .3818 m .24846 .38555 L s .27441 .3818 m .27441 .38555 L s .30037 .3818 m .30037 .38555 L s .32632 .3818 m .32632 .38555 L s .37823 .3818 m .37823 .38555 L s .40419 .3818 m .40419 .38555 L s .43014 .3818 m .43014 .38555 L s .4561 .3818 m .4561 .38555 L s .50801 .3818 m .50801 .38555 L s .53396 .3818 m .53396 .38555 L s .55992 .3818 m .55992 .38555 L s .58587 .3818 m .58587 .38555 L s .63778 .3818 m .63778 .38555 L s .66374 .3818 m .66374 .38555 L s .68969 .3818 m .68969 .38555 L s .71565 .3818 m .71565 .38555 L s .76756 .3818 m .76756 .38555 L s .79351 .3818 m .79351 .38555 L s .81947 .3818 m .81947 .38555 L s .84542 .3818 m .84542 .38555 L s .89733 .3818 m .89733 .38555 L s .92329 .3818 m .92329 .38555 L s .94924 .3818 m .94924 .38555 L s .9752 .3818 m .9752 .38555 L s .06677 .3818 m .06677 .38555 L s .04082 .3818 m .04082 .38555 L s .01487 .3818 m .01487 .38555 L s .25 Mabswid 0 .3818 m 1 .3818 L s .48205 .12225 m .4883 .12225 L s [(-1)] .46955 .12225 1 0 Mshowa .48205 .25203 m .4883 .25203 L s [(-0.5)] .46955 .25203 1 0 Mshowa .48205 .51157 m .4883 .51157 L s [(0.5)] .46955 .51157 1 0 Mshowa .48205 .64135 m .4883 .64135 L s [(1)] .46955 .64135 1 0 Mshowa .125 Mabswid .48205 .14821 m .4858 .14821 L s .48205 .17416 m .4858 .17416 L s .48205 .20012 m .4858 .20012 L s .48205 .22607 m .4858 .22607 L s .48205 .27798 m .4858 .27798 L s .48205 .30394 m .4858 .30394 L s .48205 .32989 m .4858 .32989 L s .48205 .35585 m .4858 .35585 L s .48205 .40776 m .4858 .40776 L s .48205 .43371 m .4858 .43371 L s .48205 .45967 m .4858 .45967 L s .48205 .48562 m .4858 .48562 L s .48205 .53753 m .4858 .53753 L s .48205 .56348 m .4858 .56348 L s .48205 .58944 m .4858 .58944 L s .48205 .61539 m .4858 .61539 L s .48205 .0963 m .4858 .0963 L s .48205 .07034 m .4858 .07034 L s .48205 .04439 m .4858 .04439 L s .48205 .01843 m .4858 .01843 L s .48205 .6673 m .4858 .6673 L s .48205 .69326 m .4858 .69326 L s .48205 .71921 m .4858 .71921 L s .48205 .74517 m .4858 .74517 L s .25 Mabswid .48205 0 m .48205 .7636 L s 0 0 m 1 0 L 1 .7636 L 0 .7636 L closepath clip newpath .002 w .21017 .37895 Mdot .21017 .38465 Mdot .24126 .32432 Mdot .24126 .43928 Mdot .24269 .28623 Mdot .24269 .47737 Mdot .24309 .22794 Mdot .24309 .53567 Mdot .2735 .3818 Mdot .28236 .23973 Mdot .28236 .52387 Mdot .29795 .19641 Mdot .29795 .56719 Mdot .33675 .16092 Mdot .33675 .60268 Mdot .37662 .13656 Mdot .37662 .62704 Mdot .41708 .14204 Mdot .41708 .62156 Mdot .45323 .01818 Mdot .45323 .74542 Mdot .46865 .16252 Mdot .46865 .60109 Mdot .47762 .12306 Mdot .47762 .64054 Mdot .48205 .3818 Mdot .48205 .3818 Mdot .51338 .12342 Mdot .51338 .64018 Mdot .56586 .14076 Mdot .56586 .62284 Mdot .59112 .16593 Mdot .59112 .59767 Mdot .64154 .20248 Mdot .64154 .56112 Mdot .6557 .15846 Mdot .6557 .60514 Mdot .67622 .24956 Mdot .67622 .51404 Mdot .69994 .20534 Mdot .69994 .55826 Mdot .71799 .27295 Mdot .71799 .49065 Mdot .72851 .30279 Mdot .72851 .46081 Mdot .72934 .35217 Mdot .72934 .41143 Mdot .76681 .3818 Mdot .20353 .3818 Mdot .22396 .2815 Mdot .22396 .4821 Mdot .23275 .34497 Mdot .23275 .41863 Mdot .25062 .30466 Mdot .25062 .45894 Mdot .25757 .23005 Mdot .25757 .53355 Mdot .32031 .25876 Mdot .32031 .50484 Mdot .3237 .20927 Mdot .3237 .55433 Mdot .33076 .17559 Mdot .33076 .58801 Mdot .37088 .17753 Mdot .37088 .58607 Mdot .37695 .1264 Mdot .37695 .63721 Mdot .42585 .12 Mdot .42585 .6436 Mdot .46477 .02434 Mdot .46477 .73926 Mdot .47943 .12888 Mdot .47943 .63472 Mdot .48205 .3818 Mdot .52668 .12345 Mdot .52668 .64015 Mdot .5615 .12088 Mdot .5615 .64272 Mdot .59593 .16093 Mdot .59593 .60267 Mdot .6364 .17726 Mdot .6364 .58634 Mdot .66825 .19334 Mdot .66825 .57027 Mdot .67619 .23448 Mdot .67619 .52912 Mdot .70002 .22329 Mdot .70002 .54031 Mdot .7233 .25574 Mdot .7233 .50786 Mdot .72823 .31953 Mdot .72823 .44408 Mdot .73882 .3818 Mdot .742 .34249 Mdot .742 .42112 Mdot .1303 .3818 Mdot .2059 .23168 Mdot .2059 .53193 Mdot .22474 .35464 Mdot .22474 .40896 Mdot .25123 .31109 Mdot .25123 .45251 Mdot .25734 .2749 Mdot .25734 .4887 Mdot .26894 .21832 Mdot .26894 .54528 Mdot .31363 .30383 Mdot .31363 .45977 Mdot .31556 .18814 Mdot .31556 .57546 Mdot .32629 .16096 Mdot .32629 .60264 Mdot .37811 .159 Mdot .37811 .6046 Mdot .40165 .1339 Mdot .40165 .6297 Mdot .43971 .1271 Mdot .43971 .6365 Mdot .46645 .06795 Mdot .46645 .69565 Mdot .49331 .12369 Mdot .49331 .63991 Mdot .53691 .12449 Mdot .53691 .63911 Mdot .55085 .13592 Mdot .55085 .62768 Mdot .60342 .1504 Mdot .60342 .6132 Mdot .62958 .16736 Mdot .62958 .59624 Mdot .65744 .1878 Mdot .65744 .5758 Mdot .67134 .23546 Mdot .67134 .52814 Mdot .69749 .28584 Mdot .69749 .47776 Mdot .71033 .23605 Mdot .71033 .52755 Mdot .72887 .29668 Mdot .72887 .46693 Mdot .73185 .3753 Mdot .73185 .3883 Mdot .75445 .3215 Mdot .75445 .4421 Mdot .02381 .3818 Mdot .20506 .3818 Mdot .22961 .28262 Mdot .22961 .48099 Mdot .2353 .35441 Mdot .2353 .40919 Mdot .24582 .285 Mdot .24582 .4786 Mdot .27288 .26152 Mdot .27288 .50208 Mdot .27669 .21133 Mdot .27669 .55228 Mdot .32837 .19045 Mdot .32837 .57315 Mdot .33091 .17463 Mdot .33091 .58898 Mdot .37719 .14758 Mdot .37719 .61602 Mdot .41317 .12894 Mdot .41317 .63466 Mdot .44995 .12447 Mdot .44995 .63913 Mdot .49605 .11323 Mdot .49605 .65037 Mdot .52209 .10868 Mdot .52209 .65492 Mdot .55345 .123 Mdot .55345 .6406 Mdot .6017 .13556 Mdot .6017 .62804 Mdot .62497 .21899 Mdot .62497 .54462 Mdot .63593 .16481 Mdot .63593 .59879 Mdot .67696 .22487 Mdot .67696 .53873 Mdot .68065 .3421 Mdot .68065 .4215 Mdot .68853 .21419 Mdot .68853 .54941 Mdot .71008 .28409 Mdot .71008 .47951 Mdot .72987 .34853 Mdot .72987 .41507 Mdot .76283 .28909 Mdot .76283 .47451 Mdot .10935 .3818 Mdot .21439 .3818 Mdot .22818 .33312 Mdot .22818 .43048 Mdot .22949 .2852 Mdot .22949 .4784 Mdot .26353 .2397 Mdot .26353 .5239 Mdot .28008 .29736 Mdot .28008 .46624 Mdot .28417 .2096 Mdot .28417 .554 Mdot .31878 .1812 Mdot .31878 .5824 Mdot .32837 .3818 Mdot .35006 .15776 Mdot .35006 .60584 Mdot .37376 .14069 Mdot .37376 .62291 Mdot .38424 .05749 Mdot .38424 .70611 Mdot .43088 .13237 Mdot .43088 .63123 Mdot .48364 .11715 Mdot .48364 .64646 Mdot .49083 .10329 Mdot .49083 .66031 Mdot .53851 .13243 Mdot .53851 .63118 Mdot .56462 .14553 Mdot .56462 .61807 Mdot .59034 .17975 Mdot .59034 .58385 Mdot .6228 .13103 Mdot .6228 .63257 Mdot .65248 .1763 Mdot .65248 .5873 Mdot .6636 .22669 Mdot .6636 .53691 Mdot .69812 .23378 Mdot .69812 .52982 Mdot .70594 .26571 Mdot .70594 .49789 Mdot .72388 .30694 Mdot .72388 .45667 Mdot .73025 .32441 Mdot .73025 .43919 Mdot .74629 .35941 Mdot .74629 .40419 Mdot .19132 .3818 Mdot .21183 .3818 Mdot .22979 .28672 Mdot .22979 .47688 Mdot .24145 .33451 Mdot .24145 .42909 Mdot .25969 .2782 Mdot .25969 .4854 Mdot .26629 .22376 Mdot .26629 .53984 Mdot .29687 .17968 Mdot .29687 .58392 Mdot .31927 .23677 Mdot .31927 .52683 Mdot .32767 .14439 Mdot .32767 .61921 Mdot .37612 .14378 Mdot .37612 .61982 Mdot .41439 .18973 Mdot .41439 .57387 Mdot .41496 .1272 Mdot .41496 .6364 Mdot .46742 .11863 Mdot .46742 .64497 Mdot .48205 .3818 Mdot .48205 .3818 Mdot .50715 .13567 Mdot .50715 .62793 Mdot .55111 .13687 Mdot .55111 .62673 Mdot .58453 .14552 Mdot .58453 .61808 Mdot .60199 .16341 Mdot .60199 .60019 Mdot .64446 .09477 Mdot .64446 .66883 Mdot .65614 .1996 Mdot .65614 .564 Mdot .68644 .2341 Mdot .68644 .5295 Mdot .71984 .27504 Mdot .71984 .48856 Mdot .72025 .19986 Mdot .72025 .56375 Mdot .73028 .30882 Mdot .73028 .45478 Mdot .73619 .3818 Mdot .74246 .35009 Mdot .74246 .41351 Mdot .21718 .36448 Mdot .21718 .39912 Mdot .2218 .29095 Mdot .2218 .47265 Mdot .23427 .31678 Mdot .23427 .44682 Mdot .25621 .25574 Mdot .25621 .50786 Mdot .27321 .21952 Mdot .27321 .54408 Mdot .28304 .12677 Mdot .28304 .63683 Mdot .29955 .18762 Mdot .29955 .57598 Mdot .32666 .11798 Mdot .32666 .64562 Mdot .34397 .17354 Mdot .34397 .59006 Mdot .40323 .16277 Mdot .40323 .60084 Mdot .41778 .11624 Mdot .41778 .64736 Mdot .46909 .15524 Mdot .46909 .60836 Mdot .48738 .11362 Mdot .48738 .64998 Mdot .52818 .11654 Mdot .52818 .64706 Mdot .55599 .14336 Mdot .55599 .62024 Mdot .58848 .15428 Mdot .58848 .60932 Mdot .62328 .16187 Mdot .62328 .60174 Mdot .63239 .24634 Mdot .63239 .51726 Mdot .66753 .20356 Mdot .66753 .56004 Mdot .70854 .3818 Mdot .7099 .23012 Mdot .7099 .53348 Mdot .72298 .33984 Mdot .72298 .42376 Mdot .72358 .25278 Mdot .72358 .51082 Mdot .72543 .29596 Mdot .72543 .46764 Mdot .74824 .3818 Mdot .20994 .34499 Mdot .20994 .41861 Mdot .22622 .31365 Mdot .22622 .44996 Mdot .24454 .3818 Mdot .24479 .28811 Mdot .24479 .47549 Mdot .25678 .24403 Mdot .25678 .51957 Mdot .2838 .20235 Mdot .2838 .56125 Mdot .31718 .17297 Mdot .31718 .59063 Mdot .32676 .19642 Mdot .32676 .56718 Mdot .34196 .3818 Mdot .35492 .1544 Mdot .35492 .60921 Mdot .39887 .1465 Mdot .39887 .6171 Mdot .43208 .09285 Mdot .43208 .67075 Mdot .44413 .11894 Mdot .44413 .64466 Mdot .49438 .12517 Mdot .49438 .63843 Mdot .53899 .14273 Mdot .53899 .62087 Mdot .54678 .11612 Mdot .54678 .64748 Mdot .59293 .16672 Mdot .59293 .59688 Mdot .623 .18377 Mdot .623 .57983 Mdot .63875 .15327 Mdot .63875 .61033 Mdot .68565 .23293 Mdot .68565 .53068 Mdot .68879 .19816 Mdot .68879 .56544 Mdot .71654 .26888 Mdot .71654 .49473 Mdot .72268 .3139 Mdot .72268 .4497 Mdot .7416 .3818 Mdot .74851 .34858 Mdot .74851 .41503 Mdot .78355 .25453 Mdot .78355 .50907 Mdot .20801 .3818 Mdot .2151 .33845 Mdot .2151 .42515 Mdot .23625 .26781 Mdot .23625 .49579 Mdot .23651 .30538 Mdot .23651 .45822 Mdot .2706 .21908 Mdot .2706 .54452 Mdot .30275 .29935 Mdot .30275 .46425 Mdot .30919 .23331 Mdot .30919 .53029 Mdot .31268 .1192 Mdot .31268 .6444 Mdot .32206 .17496 Mdot .32206 .58864 Mdot .35928 .16665 Mdot .35928 .59695 Mdot .39801 .13726 Mdot .39801 .62634 Mdot .44305 .12547 Mdot .44305 .63813 Mdot .46572 .12241 Mdot .46572 .64119 Mdot .52227 .12564 Mdot .52227 .63796 Mdot .52449 .10557 Mdot .52449 .65803 Mdot .57919 .17884 Mdot .57919 .58476 Mdot .60144 .1513 Mdot .60144 .6123 Mdot .61183 .15702 Mdot .61183 .60658 Mdot .66743 .18684 Mdot .66743 .57676 Mdot .68348 .22848 Mdot .68348 .53512 Mdot .71599 .2663 Mdot .71599 .4973 Mdot .72581 .18498 Mdot .72581 .57862 Mdot .72659 .33131 Mdot .72659 .43229 Mdot .7314 .35341 Mdot .7314 .41019 Mdot .74516 .29162 Mdot .74516 .47198 Mdot .22245 .22974 Mdot .22245 .53386 Mdot .2225 .3818 Mdot .22637 .29389 Mdot .22637 .46971 Mdot .22971 .35611 Mdot .22971 .40749 Mdot .245 .24464 Mdot .245 .51896 Mdot .25006 .27081 Mdot .25006 .49279 Mdot .30324 .21094 Mdot .30324 .55266 Mdot .3271 .16685 Mdot .3271 .59675 Mdot .35296 .13105 Mdot .35296 .63255 Mdot .38513 .24411 Mdot .38513 .51949 Mdot .38927 .14448 Mdot .38927 .61913 Mdot .42531 .12586 Mdot .42531 .63774 Mdot .4732 .12582 Mdot .4732 .63778 Mdot .50503 .12893 Mdot .50503 .63467 Mdot .53452 .13697 Mdot .53452 .62663 Mdot .59363 .15307 Mdot .59363 .61054 Mdot .59931 .12453 Mdot .59931 .63907 Mdot .63219 .19528 Mdot .63219 .56832 Mdot .67239 .16213 Mdot .67239 .60147 Mdot .67287 .19933 Mdot .67287 .56427 Mdot .69463 .23317 Mdot .69463 .53043 Mdot .71431 .27353 Mdot .71431 .49007 Mdot .73373 .30452 Mdot .73373 .45909 Mdot .74853 .34875 Mdot .74853 .41485 Mdot .75615 .3818 Mdot .78006 .3818 Mdot .2232 .36652 Mdot .2232 .39708 Mdot .23563 .29509 Mdot .23563 .46851 Mdot .24421 .27142 Mdot .24421 .49218 Mdot .25059 .15673 Mdot .25059 .60687 Mdot .25492 .33156 Mdot .25492 .43204 Mdot .26976 .22721 Mdot .26976 .5364 Mdot .30167 .20048 Mdot .30167 .56312 Mdot .33785 .17105 Mdot .33785 .59255 Mdot .37142 .13924 Mdot .37142 .62436 Mdot .40918 .1838 Mdot .40918 .5798 Mdot .41704 .10826 Mdot .41704 .65535 Mdot .4496 .11875 Mdot .4496 .64485 Mdot .48205 .12225 Mdot .48205 .64135 Mdot .4908 .14125 Mdot .4908 .62235 Mdot .54898 .12788 Mdot .54898 .63572 Mdot .59145 .15027 Mdot .59145 .61333 Mdot .62915 .17103 Mdot .62915 .59257 Mdot .65982 .16636 Mdot .65982 .59724 Mdot .67509 .23347 Mdot .67509 .53013 Mdot .68157 .19836 Mdot .68157 .56524 Mdot .7067 .33613 Mdot .7067 .42747 Mdot .7269 .3818 Mdot .72932 .30018 Mdot .72932 .46342 Mdot .73225 .24618 Mdot .73225 .51742 Mdot .75458 .3301 Mdot .75458 .4335 Mdot .06277 .3818 Mdot .21408 .3818 Mdot .21971 .34169 Mdot .21971 .42191 Mdot .24136 .29203 Mdot .24136 .47157 Mdot .24549 .25938 Mdot .24549 .50422 Mdot .27634 .24324 Mdot .27634 .52036 Mdot .27637 .19007 Mdot .27637 .57353 Mdot .31059 .18622 Mdot .31059 .57739 Mdot .31418 .1463 Mdot .31418 .6173 Mdot .3833 .15171 Mdot .3833 .61189 Mdot .40609 .13721 Mdot .40609 .62639 Mdot .46781 .15479 Mdot .46781 .60881 Mdot .47002 .13637 Mdot .47002 .62723 Mdot .48205 .3818 Mdot .48205 .3818 Mdot .49314 .1067 Mdot .49314 .6569 Mdot .52992 .14547 Mdot .52992 .61814 Mdot .57337 .1482 Mdot .57337 .6154 Mdot .60406 .17085 Mdot .60406 .59276 Mdot .6254 .15344 Mdot .6254 .61016 Mdot .66571 .26843 Mdot .66571 .49517 Mdot .66705 .19784 Mdot .66705 .56576 Mdot .70376 .3818 Mdot .70448 .23903 Mdot .70448 .52457 Mdot .72671 .33874 Mdot .72671 .42486 Mdot .72698 .2873 Mdot .72698 .4763 Mdot .78008 .35137 Mdot .78008 .41223 Mdot .17898 .25879 Mdot .17898 .50481 Mdot .21463 .3585 Mdot .21463 .4051 Mdot .23806 .31742 Mdot .23806 .44618 Mdot .25593 .28248 Mdot .25593 .48112 Mdot .26809 .2134 Mdot .26809 .5502 Mdot .2808 .24203 Mdot .2808 .52157 Mdot .31691 .20079 Mdot .31691 .56281 Mdot .34457 .17179 Mdot .34457 .59181 Mdot .37615 .1456 Mdot .37615 .618 Mdot .42314 .13828 Mdot .42314 .62532 Mdot .45483 .10851 Mdot .45483 .65509 Mdot .48205 .3818 Mdot .48802 .12801 Mdot .48802 .63559 Mdot .51135 .12147 Mdot .51135 .64213 Mdot .56341 .13776 Mdot .56341 .62584 Mdot .59607 .14913 Mdot .59607 .61447 Mdot .63192 .16922 Mdot .63192 .59438 Mdot .66229 .34242 Mdot .66229 .42118 Mdot .67921 .21347 Mdot .67921 .55013 Mdot .69 .25986 Mdot .69 .50374 Mdot .69313 .15157 Mdot .69313 .61203 Mdot .72642 .24756 Mdot .72642 .51605 Mdot .74417 .30898 Mdot .74417 .45462 Mdot .74916 .37447 Mdot .74916 .38913 Mdot .19408 .3818 Mdot .21668 .33556 Mdot .21668 .42804 Mdot .23086 .3818 Mdot .24592 .30067 Mdot .24592 .46293 Mdot .25087 .26518 Mdot .25087 .49842 Mdot .26246 .18433 Mdot .26246 .57928 Mdot .28875 .24392 Mdot .28875 .51968 Mdot .30933 .18049 Mdot .30933 .58311 Mdot .35228 .15702 Mdot .35228 .60658 Mdot .354 .10478 Mdot .354 .65882 Mdot .40913 .13804 Mdot .40913 .62556 Mdot .46308 .13326 Mdot .46308 .63035 Mdot .47187 .10073 Mdot .47187 .66287 Mdot .48205 .3818 Mdot .48205 .3818 Mdot .49486 .08427 Mdot .49486 .67934 Mdot .54643 .1243 Mdot .54643 .6393 Mdot .5876 .15069 Mdot .5876 .61292 Mdot .62266 .18179 Mdot .62266 .58181 Mdot .64803 .16476 Mdot .64803 .59884 Mdot .66099 .28454 Mdot .66099 .47906 Mdot .6839 .21733 Mdot .6839 .54627 Mdot .69029 .26214 Mdot .69029 .50146 Mdot .7044 .3818 Mdot .71583 .30241 Mdot .71583 .4612 Mdot .72836 .32742 Mdot .72836 .43618 Mdot .77893 .3818 Mdot .20242 .24709 Mdot .20242 .51651 Mdot .213 .3818 Mdot .22348 .35301 Mdot .22348 .41059 Mdot .23673 .29851 Mdot .23673 .4651 Mdot .26252 .22679 Mdot .26252 .53681 Mdot .27331 .25972 Mdot .27331 .50389 Mdot .31066 .20518 Mdot .31066 .55842 Mdot .33624 .16219 Mdot .33624 .60141 Mdot .36351 .14552 Mdot .36351 .61809 Mdot .40132 .16973 Mdot .40132 .59387 Mdot .42707 .12267 Mdot .42707 .64093 Mdot .46556 .11956 Mdot .46556 .64404 Mdot .48205 .3818 Mdot .49617 .0849 Mdot .49617 .6787 Mdot .53848 .11142 Mdot .53848 .65219 Mdot .54107 .13816 Mdot .54107 .62544 Mdot .58995 .14215 Mdot .58995 .62145 Mdot .61007 .20022 Mdot .61007 .56338 Mdot .64148 .3818 Mdot .64629 .17078 Mdot .64629 .59282 Mdot .68046 .2145 Mdot .68046 .54911 Mdot .70883 .22211 Mdot .70883 .54149 Mdot .71437 .27932 Mdot .71437 .48428 Mdot .72922 .30294 Mdot .72922 .46066 Mdot .74236 .36531 Mdot .74236 .39829 Mdot .80184 .3818 Mdot .22651 .31396 Mdot .22651 .44964 Mdot .23613 .3818 Mdot .24353 .33492 Mdot .24353 .42868 Mdot .25257 .27317 Mdot .25257 .49044 Mdot .2768 .22246 Mdot .2768 .54114 Mdot .28267 .31075 Mdot .28267 .45286 Mdot .29104 .20438 Mdot .29104 .55922 Mdot .3095 .13925 Mdot .3095 .62435 Mdot .33004 .17505 Mdot .33004 .58855 Mdot .37767 .15568 Mdot .37767 .60792 Mdot .39974 .11709 Mdot .39974 .64651 Mdot .45158 .12658 Mdot .45158 .63702 Mdot .45916 .09042 Mdot .45916 .67318 Mdot .49996 .1278 Mdot .49996 .6358 Mdot .55554 .13461 Mdot .55554 .629 Mdot .58095 .18899 Mdot .58095 .57461 Mdot .58164 .14071 Mdot .58164 .62289 Mdot .63131 .11113 Mdot .63131 .65247 Mdot .63806 .18249 Mdot .63806 .58111 Mdot .68032 .19367 Mdot .68032 .56993 Mdot .69959 .26108 Mdot .69959 .50252 Mdot .71533 .23328 Mdot .71533 .53032 Mdot .73025 .378 Mdot .73025 .3856 Mdot .73623 .2955 Mdot .73623 .4681 Mdot .74223 .32611 Mdot .74223 .43749 Mdot .22475 .33385 Mdot .22475 .42975 Mdot .23596 .28991 Mdot .23596 .47369 Mdot .23649 .36138 Mdot .23649 .40222 Mdot .25409 .25139 Mdot .25409 .51221 Mdot .27704 .19019 Mdot .27704 .57341 Mdot .27859 .3818 Mdot .3029 .23345 Mdot .3029 .53015 Mdot .32536 .18019 Mdot .32536 .58341 Mdot .34784 .14139 Mdot .34784 .62222 Mdot .38297 .16349 Mdot .38297 .60011 Mdot .4228 .1421 Mdot .4228 .6215 Mdot .43502 .12827 Mdot .43502 .63533 Mdot .47384 .10969 Mdot .47384 .65391 Mdot .52044 .13138 Mdot .52044 .63222 Mdot .56765 .13439 Mdot .56765 .62921 Mdot .57165 .059 Mdot .57165 .7046 Mdot .59832 .1595 Mdot .59832 .6041 Mdot .64311 .17731 Mdot .64311 .58629 Mdot .66052 .23006 Mdot .66052 .53354 Mdot .68304 .2263 Mdot .68304 .5373 Mdot .68564 .3818 Mdot .70065 .25135 Mdot .70065 .51225 Mdot .733 .30289 Mdot .733 .46071 Mdot .73886 .18883 Mdot .73886 .57477 Mdot .74476 .3818 Mdot .74929 .33927 Mdot .74929 .42433 Mdot .2203 .36344 Mdot .2203 .40016 Mdot .23524 .30158 Mdot .23524 .46202 Mdot .24409 .315 Mdot .24409 .4486 Mdot .25577 .24949 Mdot .25577 .51411 Mdot .27408 .2601 Mdot .27408 .5035 Mdot .29385 .19924 Mdot .29385 .56436 Mdot .30847 .18012 Mdot .30847 .58348 Mdot .35104 .16836 Mdot .35104 .59524 Mdot .38187 .14148 Mdot .38187 .62212 Mdot .42754 .09367 Mdot .42754 .66993 Mdot .43031 .13516 Mdot .43031 .62844 Mdot .48205 .3818 Mdot .48205 .3818 Mdot .49036 .12948 Mdot .49036 .63412 Mdot .50444 .18483 Mdot .50444 .57877 Mdot .53815 .12965 Mdot .53815 .63396 Mdot .58516 .14659 Mdot .58516 .61701 Mdot .60486 .20913 Mdot .60486 .55447 Mdot .6453 .16025 Mdot .6453 .60335 Mdot .67862 .20635 Mdot .67862 .55725 Mdot .69445 .24356 Mdot .69445 .52005 Mdot .72386 .06645 Mdot .72386 .69715 Mdot .72464 .30603 Mdot .72464 .45757 Mdot .7307 .26673 Mdot .7307 .49687 Mdot .7416 .3818 Mdot .74411 .35688 Mdot .74411 .40672 Mdot .18552 .31317 Mdot .18552 .45043 Mdot .22468 .36501 Mdot .22468 .39859 Mdot .23616 .26039 Mdot .23616 .50321 Mdot .24643 .30711 Mdot .24643 .45649 Mdot .27105 .21235 Mdot .27105 .55125 Mdot .27412 .24278 Mdot .27412 .52082 Mdot .30294 .17844 Mdot .30294 .58516 Mdot .34597 .14628 Mdot .34597 .61733 Mdot .36502 .13913 Mdot .36502 .62447 Mdot .42183 .21025 Mdot .42183 .55335 Mdot .42631 .13832 Mdot .42631 .62528 Mdot .46079 .11438 Mdot .46079 .64922 Mdot .49159 .13144 Mdot .49159 .63216 Mdot .53496 .13307 Mdot .53496 .63053 Mdot .57369 .1345 Mdot .57369 .6291 Mdot .60484 .17856 Mdot .60484 .58504 Mdot .62459 .12173 Mdot .62459 .64187 Mdot .64999 .18249 Mdot .64999 .58111 Mdot .66519 .21675 Mdot .66519 .54685 Mdot .69421 .24656 Mdot .69421 .51705 Mdot .72298 .31404 Mdot .72298 .44956 Mdot .72772 .3818 Mdot .7331 .25996 Mdot .7331 .50364 Mdot .73724 .33931 Mdot .73724 .42429 Mdot .82443 .3818 Mdot .13979 .3818 Mdot .20256 .33608 Mdot .20256 .42752 Mdot .24129 .3818 Mdot .24354 .32942 Mdot .24354 .43418 Mdot .24956 .28044 Mdot .24956 .48316 Mdot .2668 .23397 Mdot .2668 .52963 Mdot .30239 .21173 Mdot .30239 .55187 Mdot .30544 .12671 Mdot .30544 .63689 Mdot .33192 .15722 Mdot .33192 .60638 Mdot .36518 .2053 Mdot .36518 .5583 Mdot .38281 .11227 Mdot .38281 .65133 Mdot .42255 .15531 Mdot .42255 .60829 Mdot .45028 .13244 Mdot .45028 .63116 Mdot .49104 .11822 Mdot .49104 .64538 Mdot .51709 .09257 Mdot .51709 .67103 Mdot .53148 .13662 Mdot .53148 .62698 Mdot .58682 .13117 Mdot .58682 .63243 Mdot .61894 .152 Mdot .61894 .6116 Mdot .64642 .1738 Mdot .64642 .5898 Mdot .65608 .20874 Mdot .65608 .55486 Mdot .69169 .22583 Mdot .69169 .53777 Mdot .70121 .30066 Mdot .70121 .46294 Mdot .70344 .25429 Mdot .70344 .50931 Mdot .72063 .30427 Mdot .72063 .45933 Mdot .73456 .34656 Mdot .73456 .41704 Mdot .73516 .3818 Mdot .2225 .3818 Mdot .24171 .31854 Mdot .24171 .44506 Mdot .24468 .22092 Mdot .24468 .54268 Mdot .24539 .34532 Mdot .24539 .41828 Mdot .25718 .26863 Mdot .25718 .49497 Mdot .27784 .22422 Mdot .27784 .53938 Mdot .30893 .18099 Mdot .30893 .58261 Mdot .34452 .1582 Mdot .34452 .6054 Mdot .3902 .14393 Mdot .3902 .61967 Mdot .41539 .12454 Mdot .41539 .63906 Mdot .45075 .13385 Mdot .45075 .62975 Mdot .48205 .3818 Mdot .48205 .3818 Mdot .48205 .3818 Mdot .50519 .15415 Mdot .50519 .60945 Mdot .50916 .12057 Mdot .50916 .64303 Mdot .57696 .12454 Mdot .57696 .63906 Mdot .61613 .16337 Mdot .61613 .60023 Mdot .63612 .3818 Mdot .67723 .20725 Mdot .67723 .55635 Mdot .67904 .15853 Mdot .67904 .60507 Mdot .68659 .26305 Mdot .68659 .50056 Mdot .68822 .08521 Mdot .68822 .67839 Mdot .72293 .26515 Mdot .72293 .49846 Mdot .73187 .35575 Mdot .73187 .40785 Mdot .7357 .31409 Mdot .7357 .44951 Mdot .2053 .36689 Mdot .2053 .39671 Mdot .21747 .32135 Mdot .21747 .44225 Mdot .23916 .29636 Mdot .23916 .46724 Mdot .25678 .25842 Mdot .25678 .50518 Mdot .27139 .17551 Mdot .27139 .58809 Mdot .29252 .23221 Mdot .29252 .53139 Mdot .29872 .12291 Mdot .29872 .64069 Mdot .3317 .1588 Mdot .3317 .6048 Mdot .33885 .18617 Mdot .33885 .57743 Mdot .40946 .12379 Mdot .40946 .63981 Mdot .41094 .15339 Mdot .41094 .61021 Mdot .45764 .12163 Mdot .45764 .64197 Mdot .48205 .3818 Mdot .49279 .11287 Mdot .49279 .65073 Mdot .5271 .12706 Mdot .5271 .63655 Mdot .57297 .13741 Mdot .57297 .62619 Mdot .59587 .16599 Mdot .59587 .59761 Mdot .63547 .2014 Mdot .63547 .5622 Mdot .65551 .14776 Mdot .65551 .61584 Mdot .66058 .3818 Mdot .66807 .19699 Mdot .66807 .56661 Mdot .70213 .23716 Mdot .70213 .52645 Mdot .70396 .29107 Mdot .70396 .47253 Mdot .72259 .29072 Mdot .72259 .47289 Mdot .72623 .33513 Mdot .72623 .42847 Mdot .75317 .3818 Mdot .11795 .3818 Mdot .21022 .3818 Mdot .22238 .34738 Mdot .22238 .41622 Mdot .2364 .297 Mdot .2364 .46661 Mdot .24618 .2684 Mdot .24618 .4952 Mdot .27415 .21995 Mdot .27415 .54365 Mdot .28387 .23419 Mdot .28387 .52941 Mdot .31588 .18765 Mdot .31588 .57595 Mdot .3195 .16013 Mdot .3195 .60347 Mdot .38217 .136 Mdot .38217 .6276 Mdot .40686 .16337 Mdot .40686 .60024 Mdot .4231 .10486 Mdot .4231 .65874 Mdot .46997 .13778 Mdot .46997 .62582 Mdot .48982 .11028 Mdot .48982 .65332 Mdot .51553 .13779 Mdot .51553 .62581 Mdot .55867 .1566 Mdot .55867 .607 Mdot .58611 .13996 Mdot .58611 .62364 Mdot .60426 .18456 Mdot .60426 .57904 Mdot .6343 .17991 Mdot .6343 .58369 Mdot .67797 .20363 Mdot .67797 .55997 Mdot .6827 .3818 Mdot .70802 .30329 Mdot .70802 .46031 Mdot .71104 .25567 Mdot .71104 .50794 Mdot .71253 .21978 Mdot .71253 .54382 Mdot .73721 .34951 Mdot .73721 .4141 Mdot .78895 .3392 Mdot .78895 .4244 Mdot .17802 .25863 Mdot .17802 .50497 Mdot .2225 .3818 Mdot .2235 .3432 Mdot .2235 .4204 Mdot .23519 .27836 Mdot .23519 .48524 Mdot .25845 .27852 Mdot .25845 .48508 Mdot .26512 .22975 Mdot .26512 .53385 Mdot .30257 .20468 Mdot .30257 .55892 Mdot .33277 .176 Mdot .33277 .5876 Mdot .36599 .16436 Mdot .36599 .59924 Mdot .40081 .15333 Mdot .40081 .61027 Mdot .41787 .1315 Mdot .41787 .6321 Mdot .45822 .11728 Mdot .45822 .64632 Mdot .48205 .3818 Mdot .49031 .12104 Mdot .49031 .64256 Mdot .52594 .12672 Mdot .52594 .63688 Mdot .58001 .13059 Mdot .58001 .63302 Mdot .61342 .17092 Mdot .61342 .59268 Mdot .63061 .21467 Mdot .63061 .54893 Mdot .65994 .14014 Mdot .65994 .62346 Mdot .67627 .24226 Mdot .67627 .52134 Mdot .68681 .2581 Mdot .68681 .5055 Mdot .70352 .3818 Mdot .72069 .20512 Mdot .72069 .55848 Mdot .72503 .3818 Mdot .72508 .30024 Mdot .72508 .46336 Mdot .75514 .326 Mdot .75514 .4376 Mdot .11898 .3818 Mdot .21758 .22787 Mdot .21758 .53573 Mdot .22081 .32619 Mdot .22081 .43741 Mdot .22953 .3818 Mdot .23175 .27061 Mdot .23175 .49299 Mdot .2616 .29721 Mdot .2616 .46639 Mdot .28175 .21347 Mdot .28175 .55013 Mdot .29663 .20993 Mdot .29663 .55367 Mdot .34507 .17353 Mdot .34507 .59007 Mdot .34669 .14754 Mdot .34669 .61606 Mdot .39524 .12932 Mdot .39524 .63428 Mdot .43329 .12682 Mdot .43329 .63678 Mdot .46443 .10826 Mdot .46443 .65534 Mdot .49865 .13096 Mdot .49865 .63264 Mdot .54101 .13232 Mdot .54101 .63128 Mdot .58371 .15194 Mdot .58371 .61166 Mdot .58919 .19356 Mdot .58919 .57004 Mdot .61967 .15398 Mdot .61967 .60962 Mdot .64333 .18797 Mdot .64333 .57563 Mdot .66959 .29642 Mdot .66959 .46718 Mdot .6965 .21603 Mdot .6965 .54757 Mdot .69846 .24907 Mdot .69846 .51453 Mdot .72766 .29892 Mdot .72766 .46468 Mdot .7416 .3818 Mdot .74527 .3186 Mdot .74527 .445 Mdot .77313 .3818 Mdot .16395 .3818 Mdot .21652 .31158 Mdot .21652 .45202 Mdot .243 .33578 Mdot .243 .42782 Mdot .24348 .26229 Mdot .24348 .50131 Mdot .2632 .26505 Mdot .2632 .49855 Mdot .26444 .3818 Mdot .28456 .21528 Mdot .28456 .54832 Mdot .31258 .16955 Mdot .31258 .59405 Mdot .34274 .1634 Mdot .34274 .6002 Mdot .36504 .20012 Mdot .36504 .56349 Mdot .38323 .15584 Mdot .38323 .60776 Mdot .42273 .13263 Mdot .42273 .63097 Mdot .46143 .13705 Mdot .46143 .62655 Mdot .49927 .10438 Mdot .49927 .65923 Mdot .53909 .12773 Mdot .53909 .63587 Mdot .57097 .0695 Mdot .57097 .6941 Mdot .57338 .1847 Mdot .57338 .57891 Mdot .58695 .14693 Mdot .58695 .61667 Mdot .63272 .1622 Mdot .63272 .6014 Mdot .66152 .19054 Mdot .66152 .57306 Mdot .68784 .22001 Mdot .68784 .54359 Mdot .70139 .26725 Mdot .70139 .49635 Mdot .73742 .27618 Mdot .73742 .48742 Mdot .74073 .29533 Mdot .74073 .46828 Mdot .74718 .3818 Mdot .75274 .3556 Mdot .75274 .408 Mdot .18669 .21812 Mdot .18669 .54548 Mdot .22434 .35541 Mdot .22434 .40819 Mdot .24009 .34207 Mdot .24009 .42153 Mdot .24543 .28354 Mdot .24543 .48006 Mdot .25334 .25934 Mdot .25334 .50426 Mdot .27647 .19135 Mdot .27647 .57225 Mdot .31191 .18294 Mdot .31191 .58066 Mdot .32779 .19847 Mdot .32779 .56513 Mdot .36178 .15389 Mdot .36178 .60971 Mdot .39416 .14213 Mdot .39416 .62147 Mdot .43611 .12114 Mdot .43611 .64247 Mdot .47914 .1315 Mdot .47914 .6321 Mdot .49923 .16684 Mdot .49923 .59676 Mdot .51651 .06632 Mdot .51651 .69728 Mdot .52515 .16037 Mdot .52515 .60323 Mdot .56032 .1279 Mdot .56032 .6357 Mdot .6069 .16073 Mdot .6069 .60287 Mdot .64528 .15534 Mdot .64528 .60826 Mdot .66223 .19318 Mdot .66223 .57042 Mdot .67468 .21625 Mdot .67468 .54735 Mdot .70075 .25205 Mdot .70075 .51155 Mdot .71245 .36091 Mdot .71245 .40269 Mdot .73008 .32091 Mdot .73008 .44269 Mdot .73785 .27998 Mdot .73785 .48362 Mdot .74367 .3818 Mdot .16782 .3818 Mdot .22558 .3818 Mdot .23193 .32101 Mdot .23193 .44259 Mdot .23804 .27578 Mdot .23804 .48782 Mdot .2548 .3818 Mdot .26427 .22456 Mdot .26427 .53904 Mdot .27203 .25163 Mdot .27203 .51197 Mdot .30822 .18985 Mdot .30822 .57375 Mdot .32435 .05383 Mdot .32435 .70977 Mdot .32772 .16351 Mdot .32772 .60009 Mdot .36028 .15137 Mdot .36028 .61223 Mdot .40988 .13225 Mdot .40988 .63135 Mdot .42054 .1099 Mdot .42054 .65371 Mdot .4765 .11962 Mdot .4765 .64398 Mdot .5217 .13181 Mdot .5217 .63179 Mdot .56025 .18493 Mdot .56025 .57867 Mdot .57716 .14422 Mdot .57716 .61938 Mdot .60173 .14968 Mdot .60173 .61392 Mdot .62999 .18943 Mdot .62999 .57418 Mdot .66867 .18512 Mdot .66867 .57848 Mdot .67097 .24951 Mdot .67097 .51409 Mdot .68099 .3818 Mdot .70529 .24608 Mdot .70529 .51752 Mdot .7215 .28405 Mdot .7215 .47955 Mdot .72971 .3595 Mdot .72971 .4041 Mdot .75418 .31833 Mdot .75418 .44527 Mdot .1921 .31187 Mdot .1921 .45173 Mdot .22668 .36856 Mdot .22668 .39504 Mdot .2328 .28761 Mdot .2328 .47599 Mdot .26437 .25738 Mdot .26437 .50623 Mdot .27998 .21273 Mdot .27998 .55088 Mdot .28079 .14476 Mdot .28079 .61884 Mdot .29842 .34787 Mdot .29842 .41573 Mdot .33151 .17541 Mdot .33151 .58819 Mdot .36915 .15633 Mdot .36915 .60727 Mdot .39602 .12617 Mdot .39602 .63743 Mdot .4414 .11901 Mdot .4414 .64459 Mdot .47166 .13725 Mdot .47166 .62635 Mdot .48205 .3818 Mdot .51454 .11733 Mdot .51454 .64627 Mdot .54628 .06254 Mdot .54628 .70106 Mdot .55462 .13823 Mdot .55462 .62537 Mdot .58769 .15339 Mdot .58769 .61021 Mdot .62312 .17128 Mdot .62312 .59232 Mdot .65517 .1997 Mdot .65517 .5639 Mdot .68375 .20756 Mdot .68375 .55605 Mdot .70089 .31442 Mdot .70089 .44918 Mdot .7113 .26271 Mdot .7113 .50089 Mdot .72434 .28845 Mdot .72434 .47515 Mdot .73767 .3818 Mdot .74307 .33104 Mdot .74307 .43256 Mdot .11691 .3818 Mdot .1891 .27864 Mdot .1891 .48496 Mdot .22338 .35145 Mdot .22338 .41215 Mdot .25169 .28136 Mdot .25169 .48224 Mdot .25834 .22306 Mdot .25834 .54054 Mdot .26481 .3818 Mdot .27575 .28078 Mdot .27575 .48282 Mdot .3056 .19018 Mdot .3056 .57342 Mdot .31189 .20442 Mdot .31189 .55918 Mdot .35103 .15703 Mdot .35103 .60657 Mdot .38278 .13399 Mdot .38278 .62961 Mdot .42834 .13277 Mdot .42834 .63083 Mdot .46142 .12356 Mdot .46142 .64004 Mdot .49573 .10093 Mdot .49573 .66267 Mdot .52265 .12884 Mdot .52265 .63477 Mdot .54746 .1391 Mdot .54746 .6245 Mdot .60601 .19828 Mdot .60601 .56532 Mdot .60955 .15556 Mdot .60955 .60805 Mdot .64036 .16525 Mdot .64036 .59836 Mdot .67387 .22777 Mdot .67387 .53584 Mdot .6904 .28894 Mdot .6904 .47466 Mdot .69207 .20163 Mdot .69207 .56197 Mdot .72301 .3 Mdot .72301 .4636 Mdot .72989 .3434 Mdot .72989 .4202 Mdot .74212 .25152 Mdot .74212 .51208 Mdot .75443 .3818 Mdot .09312 .3818 Mdot .21686 .28569 Mdot .21686 .47791 Mdot .21772 .36027 Mdot .21772 .40333 Mdot .23446 .30708 Mdot .23446 .45652 Mdot .2778 .23839 Mdot .2778 .52521 Mdot .29117 .2541 Mdot .29117 .5095 Mdot .3035 .19497 Mdot .3035 .56863 Mdot .32448 .16408 Mdot .32448 .59952 Mdot .34979 .14722 Mdot .34979 .61638 Mdot .39121 .13203 Mdot .39121 .63157 Mdot .44098 .12406 Mdot .44098 .63954 Mdot .45624 .13658 Mdot .45624 .62702 Mdot .48205 .3818 Mdot .48205 .3818 Mdot .48205 .3818 Mdot .50133 .11299 Mdot .50133 .65061 Mdot .53148 .13021 Mdot .53148 .63339 Mdot .56692 .1335 Mdot .56692 .6301 Mdot .61598 .16777 Mdot .61598 .59583 Mdot .62092 .3818 Mdot .6374 .11915 Mdot .6374 .64445 Mdot .65402 .1998 Mdot .65402 .5638 Mdot .6732 .22165 Mdot .6732 .54195 Mdot .71238 .24668 Mdot .71238 .51692 Mdot .72183 .28723 Mdot .72183 .47637 Mdot .72325 .3818 Mdot .73284 .3818 Mdot .75362 .33009 Mdot .75362 .43351 Mdot .19837 .25944 Mdot .19837 .50416 Mdot .214 .35093 Mdot .214 .41268 Mdot .22163 .23406 Mdot .22163 .52954 Mdot .22476 .32376 Mdot .22476 .43984 Mdot .26557 .25113 Mdot .26557 .51247 Mdot .27431 .3818 Mdot .30768 .17106 Mdot .30768 .59254 Mdot .3085 .19182 Mdot .3085 .57178 Mdot .36426 .23174 Mdot .36426 .53186 Mdot .36647 .14647 Mdot .36647 .61713 Mdot .42113 .12055 Mdot .42113 .64305 Mdot .43204 .13353 Mdot .43204 .63007 Mdot .48205 .3818 Mdot .48205 .3818 Mdot .48423 .13178 Mdot .48423 .63183 Mdot .52358 .12848 Mdot .52358 .63512 Mdot .55457 .13411 Mdot .55457 .6295 Mdot .59121 .14252 Mdot .59121 .62108 Mdot .62095 .1659 Mdot .62095 .59771 Mdot .65839 .18981 Mdot .65839 .57379 Mdot .68825 .23598 Mdot .68825 .52762 Mdot .69353 .19539 Mdot .69353 .56821 Mdot .70601 .25796 Mdot .70601 .50564 Mdot .7138 .29977 Mdot .7138 .46384 Mdot .72002 .3818 Mdot .74239 .34437 Mdot .74239 .41924 Mdot .79997 .3818 Mdot .22825 .26358 Mdot .22825 .50002 Mdot .23072 .3818 Mdot .23274 .33887 Mdot .23274 .42473 Mdot .23385 .29433 Mdot .23385 .46927 Mdot .26953 .23707 Mdot .26953 .52653 Mdot .28704 .17424 Mdot .28704 .58936 Mdot .29873 .25281 Mdot .29873 .5108 Mdot .31048 .3818 Mdot .32654 .15088 Mdot .32654 .61272 Mdot .35783 .16646 Mdot .35783 .59714 Mdot .37463 .13214 Mdot .37463 .63146 Mdot .42351 .12657 Mdot .42351 .63703 Mdot .46139 .12959 Mdot .46139 .63401 Mdot .46332 .09827 Mdot .46332 .66533 Mdot .52896 .10774 Mdot .52896 .65586 Mdot .53534 .14509 Mdot .53534 .61852 Mdot .58146 .14506 Mdot .58146 .61854 Mdot .61376 .15949 Mdot .61376 .60411 Mdot .65638 .17844 Mdot .65638 .58516 Mdot .66729 .20938 Mdot .66729 .55422 Mdot .67374 .3818 Mdot .69932 .21942 Mdot .69932 .54418 Mdot .72175 .25407 Mdot .72175 .50953 Mdot .73007 .29839 Mdot .73007 .46521 Mdot .74736 .36449 Mdot .74736 .39911 Mdot .76379 .31123 Mdot .76379 .45237 Mdot .21762 .3818 Mdot .23364 .30356 Mdot .23364 .46004 Mdot .24079 .20824 Mdot .24079 .55536 Mdot .24131 .34367 Mdot .24131 .41994 Mdot .24756 .28164 Mdot .24756 .48196 Mdot .26209 .23254 Mdot .26209 .53106 Mdot .30445 .20521 Mdot .30445 .55839 Mdot .3281 .18376 Mdot .3281 .57984 Mdot .34517 .15625 Mdot .34517 .60735 Mdot .38572 .12766 Mdot .38572 .63594 Mdot .43657 .13225 Mdot .43657 .63135 Mdot .4681 .10933 Mdot .4681 .65427 Mdot .4804 .19382 Mdot .4804 .56978 Mdot .50565 .12026 Mdot .50565 .64335 Mdot .54561 .14361 Mdot .54561 .61999 Mdot .59449 .14995 Mdot .59449 .61365 Mdot .60492 .0486 Mdot .60492 .715 Mdot .64622 .2036 Mdot .64622 .56 Mdot .65483 .17554 Mdot .65483 .58806 Mdot .69193 .20028 Mdot .69193 .56332 Mdot .69966 .25179 Mdot .69966 .51181 Mdot .71245 .27689 Mdot .71245 .48671 Mdot .72958 .3818 Mdot .72999 .3046 Mdot .72999 .459 Mdot .73602 .35787 Mdot .73602 .40573 Mdot .22147 .34738 Mdot .22147 .41622 Mdot .22669 .28815 Mdot .22669 .47545 Mdot .24522 .36844 Mdot .24522 .39516 Mdot .25548 .27567 Mdot .25548 .48793 Mdot .26773 .23435 Mdot .26773 .52925 Mdot .28894 .21968 Mdot .28894 .54392 Mdot .33289 .12931 Mdot .33289 .63429 Mdot .33321 .20591 Mdot .33321 .55769 Mdot .33918 .16136 Mdot .33918 .60225 Mdot .40202 .14425 Mdot .40202 .61935 Mdot .44389 .13617 Mdot .44389 .62743 Mdot .46345 .10328 Mdot .46345 .66032 Mdot .48205 .3818 Mdot .49283 .13261 Mdot .49283 .63099 Mdot .5317 .11466 Mdot .5317 .64894 Mdot .55963 .14691 Mdot .55963 .61669 Mdot .59783 .14885 Mdot .59783 .61475 Mdot .62221 .18075 Mdot .62221 .58285 Mdot .64547 .3818 Mdot .65754 .18522 Mdot .65754 .57838 Mdot .68585 .22384 Mdot .68585 .53976 Mdot .70638 .25865 Mdot .70638 .50495 Mdot .7257 .28066 Mdot .7257 .48294 Mdot .74442 .32761 Mdot .74442 .43599 Mdot .76927 .3697 Mdot .76927 .3939 Mdot .92553 .3818 Mdot .10175 .3818 Mdot .23109 .3818 Mdot .23794 .33311 Mdot .23794 .43049 Mdot .23902 .30567 Mdot .23902 .45793 Mdot .25264 .2499 Mdot .25264 .51371 Mdot .27715 .22502 Mdot .27715 .53858 Mdot .29384 .17692 Mdot .29384 .58668 Mdot .31918 .22663 Mdot .31918 .53697 Mdot .35422 .14863 Mdot .35422 .61497 Mdot .38287 .14785 Mdot .38287 .61575 Mdot .42954 .13339 Mdot .42954 .63021 Mdot .44351 .09799 Mdot .44351 .66561 Mdot .48205 .3818 Mdot .48205 .3818 Mdot .48205 .3818 Mdot .48205 .3818 Mdot .48511 .11461 Mdot .48511 .649 Mdot .53776 .12331 Mdot .53776 .64029 Mdot .5726 .13391 Mdot .5726 .62969 Mdot .60784 .15064 Mdot .60784 .61297 Mdot .62279 .1897 Mdot .62279 .5739 Mdot .64258 .3818 Mdot .6665 .20173 Mdot .6665 .56187 Mdot .67673 .2244 Mdot .67673 .5392 Mdot .70246 .27683 Mdot .70246 .48677 Mdot .72572 .32134 Mdot .72572 .44226 Mdot .73857 .3818 Mdot .76204 .26338 Mdot .76204 .50023 Mdot .79945 .3818 Mdot .17882 .3818 Mdot .20997 .27754 Mdot .20997 .48606 Mdot .21954 .3818 Mdot .23996 .32088 Mdot .23996 .44272 Mdot .26434 .22712 Mdot .26434 .53648 Mdot .2696 .25931 Mdot .2696 .50429 Mdot .28333 .3818 Mdot .29049 .20119 Mdot .29049 .56241 Mdot .31481 .17064 Mdot .31481 .59297 Mdot .36229 .14031 Mdot .36229 .62329 Mdot .37625 .06633 Mdot .37625 .69727 Mdot .40153 .13479 Mdot .40153 .62881 Mdot .46594 .16362 Mdot .46594 .59999 Mdot .47293 .10384 Mdot .47293 .65976 Mdot .49114 .13426 Mdot .49114 .62934 Mdot .53448 .13941 Mdot .53448 .62419 Mdot .57586 .12436 Mdot .57586 .63924 Mdot .61272 .15459 Mdot .61272 .60901 Mdot .6284 .17904 Mdot .6284 .58456 Mdot .64216 .22453 Mdot .64216 .53908 Mdot .67881 .21813 Mdot .67881 .54547 Mdot .71108 .25316 Mdot .71108 .51044 Mdot .71625 .3067 Mdot .71625 .4569 Mdot .73031 .27778 Mdot .73031 .48582 Mdot .73705 .35138 Mdot .73705 .41223 Mdot .74452 .3818 Mdot .18555 .33473 Mdot .18555 .42887 Mdot .21401 .27906 Mdot .21401 .48455 Mdot .22166 .31811 Mdot .22166 .44549 Mdot .23588 .3818 Mdot .26061 .24219 Mdot .26061 .52141 Mdot .29161 .21493 Mdot .29161 .54867 Mdot .30322 .27463 Mdot .30322 .48897 Mdot .32504 .17069 Mdot .32504 .59291 Mdot .34634 .13896 Mdot .34634 .62464 Mdot .38494 .15111 Mdot .38494 .61249 Mdot .42607 .13926 Mdot .42607 .62434 Mdot .44509 .13424 Mdot .44509 .62936 Mdot .47897 .122 Mdot .47897 .6416 Mdot .51374 .13215 Mdot .51374 .63145 Mdot .56275 .16752 Mdot .56275 .59608 Mdot .57635 .12458 Mdot .57635 .63902 Mdot .60818 .15168 Mdot .60818 .61192 Mdot .64452 .1971 Mdot .64452 .5665 Mdot .66328 .1919 Mdot .66328 .5717 Mdot .69569 .25118 Mdot .69569 .51242 Mdot .70992 .32761 Mdot .70992 .43599 Mdot .71256 .27899 Mdot .71256 .48461 Mdot .73606 .3818 Mdot .74311 .32953 Mdot .74311 .43407 Mdot .77007 .18292 Mdot .77007 .58068 Mdot .21116 .36654 Mdot .21116 .39707 Mdot .22867 .31889 Mdot .22867 .44471 Mdot .23116 .27878 Mdot .23116 .48482 Mdot .23589 .3818 Mdot .26522 .24224 Mdot .26522 .52136 Mdot .28413 .20741 Mdot .28413 .55619 Mdot .29446 .19126 Mdot .29446 .57235 Mdot .33741 .3818 Mdot .35272 .17652 Mdot .35272 .58708 Mdot .36596 .16602 Mdot .36596 .59758 Mdot .3927 .14343 Mdot .3927 .62017 Mdot .41459 .09518 Mdot .41459 .66842 Mdot .45861 .12873 Mdot .45861 .63487 Mdot .47794 .10736 Mdot .47794 .65624 Mdot .50854 .13704 Mdot .50854 .62656 Mdot .55867 .12805 Mdot .55867 .63555 Mdot .5875 .14513 Mdot .5875 .61847 Mdot .61565 .16648 Mdot .61565 .59712 Mdot .64478 .18688 Mdot .64478 .57672 Mdot .68402 .20631 Mdot .68402 .5573 Mdot .69179 .25561 Mdot .69179 .508 Mdot .71278 .33431 Mdot .71278 .42929 Mdot .71914 .24437 Mdot .71914 .51923 Mdot .71968 .29183 Mdot .71968 .47177 Mdot .74547 .36049 Mdot .74547 .40311 Mdot .97619 .3818 Mdot .2165 .3818 Mdot .23475 .32616 Mdot .23475 .43744 Mdot .23688 .24414 Mdot .23688 .51946 Mdot .24014 .3818 Mdot .24046 .27489 Mdot .24046 .48871 Mdot .27651 .23174 Mdot .27651 .53186 Mdot .28568 .06052 Mdot .28568 .70308 Mdot .29581 .3818 Mdot .29745 .21143 Mdot .29745 .55217 Mdot .32778 .17721 Mdot .32778 .58639 Mdot .35942 .1649 Mdot .35942 .5987 Mdot .40209 .13532 Mdot .40209 .62828 Mdot .43154 .14961 Mdot .43154 .61399 Mdot .45254 .13252 Mdot .45254 .63108 Mdot .50746 .14305 Mdot .50746 .62055 Mdot .52861 .10951 Mdot .52861 .65409 Mdot .55468 .13256 Mdot .55468 .63105 Mdot .59986 .13595 Mdot .59986 .62765 Mdot .62356 .17063 Mdot .62356 .59297 Mdot .65163 .1921 Mdot .65163 .5715 Mdot .68267 .20427 Mdot .68267 .55933 Mdot .68851 .25085 Mdot .68851 .51275 Mdot .70509 .3818 Mdot .70988 .25181 Mdot .70988 .5118 Mdot .72888 .31189 Mdot .72888 .45171 Mdot .75205 .33425 Mdot .75205 .42935 Mdot .75772 .3818 Mdot .18152 .3818 Mdot .21125 .34624 Mdot .21125 .41736 Mdot .23322 .29458 Mdot .23322 .46902 Mdot .25726 .26629 Mdot .25726 .49731 Mdot .28044 .22813 Mdot .28044 .53548 Mdot .2914 .2173 Mdot .2914 .5463 Mdot .29363 .37182 Mdot .29363 .39178 Mdot .31898 .18311 Mdot .31898 .58049 Mdot .35605 .16589 Mdot .35605 .59771 Mdot .38044 .15978 Mdot .38044 .60382 Mdot .40682 .12821 Mdot .40682 .63539 Mdot .43602 .12855 Mdot .43602 .63505 Mdot .48028 .12082 Mdot .48028 .64279 Mdot .517 .09848 Mdot .517 .66512 Mdot .53524 .13037 Mdot .53524 .63323 Mdot .57086 .13578 Mdot .57086 .62782 Mdot .60098 .15851 Mdot .60098 .60509 Mdot .66706 .15503 Mdot .66706 .60857 Mdot .6716 .1957 Mdot .6716 .5679 Mdot .68444 .18729 Mdot .68444 .57631 Mdot .702 .24834 Mdot .702 .51526 Mdot .70272 .3818 Mdot .71625 .29867 Mdot .71625 .46494 Mdot .72215 .33494 Mdot .72215 .42866 Mdot .75838 .3818 Mdot .78541 .26631 Mdot .78541 .4973 Mdot .18404 .3818 Mdot .21505 .35061 Mdot .21505 .41299 Mdot .23146 .31256 Mdot .23146 .45104 Mdot .24738 .27513 Mdot .24738 .48847 Mdot .26793 .19996 Mdot .26793 .56365 Mdot .27218 .24519 Mdot .27218 .51841 Mdot .29508 .17757 Mdot .29508 .58603 Mdot .3278 .19611 Mdot .3278 .56749 Mdot .35882 .16014 Mdot .35882 .60346 Mdot .39119 .1339 Mdot .39119 .6297 Mdot .41454 .15834 Mdot .41454 .60526 Mdot .45248 .1227 Mdot .45248 .64091 Mdot .48205 .3818 Mdot .49456 .12809 Mdot .49456 .63552 Mdot .53842 .16786 Mdot .53842 .59574 Mdot .5435 .10942 Mdot .5435 .65418 Mdot .5923 .15617 Mdot .5923 .60743 Mdot .60908 .16597 Mdot .60908 .59763 Mdot .65995 .15621 Mdot .65995 .60739 Mdot .67357 .2107 Mdot .67357 .5529 Mdot .67732 .23768 Mdot .67732 .52592 Mdot .69526 .28975 Mdot .69526 .47385 Mdot .71631 .26813 Mdot .71631 .49547 Mdot .72374 .33338 Mdot .72374 .43023 Mdot .74416 .36171 Mdot .74416 .40189 Mdot .9299 .3818 Mdot .22337 .3026 Mdot .22337 .461 Mdot .23135 .18858 Mdot .23135 .57502 Mdot .23993 .37831 Mdot .23993 .38529 Mdot .24762 .30242 Mdot .24762 .46118 Mdot .24967 .24424 Mdot .24967 .51937 Mdot .2738 .2169 Mdot .2738 .54671 Mdot .3118 .3818 Mdot .31937 .14788 Mdot .31937 .61572 Mdot .32175 .18292 Mdot .32175 .58068 Mdot .38735 .14278 Mdot .38735 .62082 Mdot .42856 .16077 Mdot .42856 .60283 Mdot .45706 .12464 Mdot .45706 .63896 Mdot .46909 .13741 Mdot .46909 .62619 Mdot .51246 .12785 Mdot .51246 .63575 Mdot .53709 .1296 Mdot .53709 .634 Mdot .5707 .14277 Mdot .5707 .62083 Mdot .61958 .16902 Mdot .61958 .59458 Mdot .64183 .15716 Mdot .64183 .60644 Mdot .66409 .21277 Mdot .66409 .55083 Mdot .68535 .21775 Mdot .68535 .54585 Mdot .71575 .25212 Mdot .71575 .51148 Mdot .72927 .32013 Mdot .72927 .44347 Mdot .73353 .28525 Mdot .73353 .47835 Mdot .74301 .36815 Mdot .74301 .39545 Mdot .82356 .3818 Mdot .19981 .3551 Mdot .19981 .4085 Mdot .20305 .2937 Mdot .20305 .4699 Mdot .24311 .3234 Mdot .24311 .4402 Mdot .25098 .20417 Mdot .25098 .55943 Mdot .25333 .27368 Mdot .25333 .48992 Mdot .27627 .23538 Mdot .27627 .52822 Mdot .30747 .22964 Mdot .30747 .53397 Mdot .32654 .18516 Mdot .32654 .57844 Mdot .36674 .13142 Mdot .36674 .63218 Mdot .39419 .12253 Mdot .39419 .64107 Mdot .42036 .1211 Mdot .42036 .6425 Mdot .46179 .12164 Mdot .46179 .64196 Mdot .51178 .1322 Mdot .51178 .6314 Mdot .54216 .10321 Mdot .54216 .6604 Mdot .55017 .17516 Mdot .55017 .58844 Mdot .58168 .13793 Mdot .58168 .62567 Mdot .63042 .16533 Mdot .63042 .59827 Mdot .64075 .22047 Mdot .64075 .54313 Mdot .65848 .21176 Mdot .65848 .55184 Mdot .69248 .23226 Mdot .69248 .53134 Mdot .71205 .28201 Mdot .71205 .48159 Mdot .73456 .36625 Mdot .73456 .39735 Mdot .73979 .33145 Mdot .73979 .43216 Mdot .74153 .2476 Mdot .74153 .516 Mdot .20447 .3818 Mdot .22425 .34138 Mdot .22425 .42222 Mdot .23806 .27059 Mdot .23806 .49301 Mdot .24343 .3818 Mdot .24815 .29907 Mdot .24815 .46453 Mdot .27536 .24235 Mdot .27536 .52125 Mdot .30038 .16554 Mdot .30038 .59806 Mdot .30172 .20714 Mdot .30172 .55646 Mdot .34082 .15788 Mdot .34082 .60572 Mdot .39058 .14705 Mdot .39058 .61655 Mdot .39775 .19929 Mdot .39775 .56431 Mdot .42602 .01883 Mdot .42602 .74477 Mdot .43046 .12864 Mdot .43046 .63496 Mdot .47134 .11001 Mdot .47134 .65359 Mdot .51811 .12319 Mdot .51811 .64041 Mdot .55503 .13467 Mdot .55503 .62893 Mdot .5666 .14965 Mdot .5666 .61395 Mdot .616 .16572 Mdot .616 .59788 Mdot .64095 .19156 Mdot .64095 .57204 Mdot .67649 .19909 Mdot .67649 .56451 Mdot .69191 .25071 Mdot .69191 .51289 Mdot .70806 .29011 Mdot .70806 .47349 Mdot .70825 .3818 Mdot .72453 .31546 Mdot .72453 .44814 Mdot .73351 .23292 Mdot .73351 .53068 Mdot .75614 .34752 Mdot .75614 .41608 Mdot .19624 .37159 Mdot .19624 .39201 Mdot .22897 .32741 Mdot .22897 .43619 Mdot .2421 .30185 Mdot .2421 .46175 Mdot .25326 .19688 Mdot .25326 .56672 Mdot .258 .26842 Mdot .258 .49519 Mdot .28104 .22557 Mdot .28104 .53803 Mdot .32521 .17263 Mdot .32521 .59097 Mdot .34248 .15534 Mdot .34248 .60826 Mdot .37626 .15118 Mdot .37626 .61242 Mdot .43041 .12322 Mdot .43041 .64038 Mdot .4472 .11263 Mdot .4472 .65097 Mdot .48205 .3818 Mdot .48205 .3818 Mdot .48205 .3818 Mdot .4937 .11357 Mdot .4937 .65003 Mdot .54892 .21777 Mdot .54892 .54583 Mdot .55624 .11554 Mdot .55624 .64806 Mdot .5657 .12905 Mdot .5657 .63456 Mdot .6089 .15437 Mdot .6089 .60923 Mdot .65126 .19706 Mdot .65126 .56654 Mdot .67105 .22225 Mdot .67105 .54135 Mdot .69095 .31266 Mdot .69095 .45094 Mdot .70199 .25304 Mdot .70199 .51056 Mdot .73665 .15424 Mdot .73665 .60936 Mdot .73912 .35994 Mdot .73912 .40366 Mdot .74157 .30293 Mdot .74157 .46067 Mdot .13279 .3818 Mdot .22767 .36248 Mdot .22767 .40112 Mdot .22988 .32084 Mdot .22988 .44276 Mdot .23819 .27272 Mdot .23819 .49088 Mdot .27065 .24008 Mdot .27065 .52352 Mdot .28264 .23355 Mdot .28264 .53006 Mdot .3044 .16762 Mdot .3044 .59598 Mdot .34134 .19559 Mdot .34134 .56801 Mdot .35145 .15999 Mdot .35145 .60361 Mdot .37478 .11657 Mdot .37478 .64703 Mdot .42647 .13018 Mdot .42647 .63342 Mdot .44579 .10374 Mdot .44579 .65986 Mdot .49079 .11515 Mdot .49079 .64845 Mdot .53401 .15007 Mdot .53401 .61353 Mdot .54774 .11246 Mdot .54774 .65115 Mdot .58431 .14981 Mdot .58431 .61379 Mdot .60178 .20183 Mdot .60178 .56177 Mdot .62239 .16869 Mdot .62239 .59491 Mdot .66652 .19808 Mdot .66652 .56552 Mdot .68292 .274 Mdot .68292 .4896 Mdot .70652 .27537 Mdot .70652 .48823 Mdot .70953 .2155 Mdot .70953 .5481 Mdot .72159 .30124 Mdot .72159 .46236 Mdot .73968 .3818 Mdot .77167 .34339 Mdot .77167 .42021 Mdot .15465 .3818 Mdot .22943 .28816 Mdot .22943 .47544 Mdot .23533 .36881 Mdot .23533 .39479 Mdot .26366 .29664 Mdot .26366 .46696 Mdot .26741 .3818 Mdot .27191 .25589 Mdot .27191 .50772 Mdot .28792 .21325 Mdot .28792 .55035 Mdot .29441 .17786 Mdot .29441 .58574 Mdot .33224 .1718 Mdot .33224 .5918 Mdot .36048 .14751 Mdot .36048 .61609 Mdot .40239 .12001 Mdot .40239 .64359 Mdot .44996 .15608 Mdot .44996 .60752 Mdot .45287 .10832 Mdot .45287 .65528 Mdot .48903 .13782 Mdot .48903 .62578 Mdot .53302 .12547 Mdot .53302 .63813 Mdot .55702 .03293 Mdot .55702 .73067 Mdot .58651 .14065 Mdot .58651 .62295 Mdot .6086 .16091 Mdot .6086 .60269 Mdot .64442 .17544 Mdot .64442 .58816 Mdot .67384 .1956 Mdot .67384 .568 Mdot .67552 .23241 Mdot .67552 .53119 Mdot .70325 .37548 Mdot .70325 .38812 Mdot .71004 .25453 Mdot .71004 .50907 Mdot .72201 .28952 Mdot .72201 .47408 Mdot .74157 .33454 Mdot .74157 .42906 Mdot .74761 .3818 Mdot .19948 .32903 Mdot .19948 .43457 Mdot .22202 .18847 Mdot .22202 .57513 Mdot .23929 .3818 Mdot .24498 .29285 Mdot .24498 .47075 Mdot .24768 .33153 Mdot .24768 .43207 Mdot .27939 .22257 Mdot .27939 .54104 Mdot .28038 .25857 Mdot .28038 .50503 Mdot .31066 .17145 Mdot .31066 .59215 Mdot .35282 .15527 Mdot .35282 .60833 Mdot .38473 .15843 Mdot .38473 .60517 Mdot .42819 .12698 Mdot .42819 .63662 Mdot .44105 .14634 Mdot .44105 .61726 Mdot .48205 .3818 Mdot .49088 .12437 Mdot .49088 .63923 Mdot .52374 .11694 Mdot .52374 .64667 Mdot .55362 .13108 Mdot .55362 .63252 Mdot .58727 .19741 Mdot .58727 .56619 Mdot .60101 .14616 Mdot .60101 .61744 Mdot .63819 .16304 Mdot .63819 .60056 Mdot .67066 .19908 Mdot .67066 .56452 Mdot .68948 .25558 Mdot .68948 .50802 Mdot .70612 .22332 Mdot .70612 .54028 Mdot .72858 .35142 Mdot .72858 .41218 Mdot .73182 .27452 Mdot .73182 .48908 Mdot .74731 .31072 Mdot .74731 .45288 Mdot .77913 .3818 Mdot .12707 .3818 Mdot .22232 .33184 Mdot .22232 .43176 Mdot .2225 .3818 Mdot .24338 .28461 Mdot .24338 .47899 Mdot .25099 .24289 Mdot .25099 .52071 Mdot .25765 .3818 Mdot .2758 .22569 Mdot .2758 .53791 Mdot .30127 .3818 Mdot .31468 .1956 Mdot .31468 .568 Mdot .33235 .15762 Mdot .33235 .60598 Mdot .37587 .1545 Mdot .37587 .6091 Mdot .40763 .16332 Mdot .40763 .60028 Mdot .41927 .11556 Mdot .41927 .64804 Mdot .4657 .11654 Mdot .4657 .64706 Mdot .50045 .11467 Mdot .50045 .64893 Mdot .52202 .15296 Mdot .52202 .61064 Mdot .55969 .12972 Mdot .55969 .63388 Mdot .61471 .16443 Mdot .61471 .59917 Mdot .61626 .14284 Mdot .61626 .62076 Mdot .65872 .22885 Mdot .65872 .53475 Mdot .65924 .19714 Mdot .65924 .56646 Mdot .70288 .26147 Mdot .70288 .50213 Mdot .72278 .27521 Mdot .72278 .48839 Mdot .74343 .33145 Mdot .74343 .43215 Mdot .74526 .36625 Mdot .74526 .39735 Mdot .7616 .20186 Mdot .7616 .56174 Mdot .1929 .2944 Mdot .1929 .4692 Mdot .23111 .37464 Mdot .23111 .38896 Mdot .23217 .31615 Mdot .23217 .44745 Mdot .24395 .27366 Mdot .24395 .48994 Mdot .25872 .23584 Mdot .25872 .52776 Mdot .2941 .20237 Mdot .2941 .56124 Mdot .299 .0956 Mdot .299 .668 Mdot .33229 .16644 Mdot .33229 .59716 Mdot .36113 .15178 Mdot .36113 .61182 Mdot .40511 .13812 Mdot .40511 .62549 Mdot .44545 .11698 Mdot .44545 .64662 Mdot .46134 .16742 Mdot .46134 .59618 Mdot .48205 .3818 Mdot .49434 .11478 Mdot .49434 .64882 Mdot .52975 .14933 Mdot .52975 .61428 Mdot .56813 .11828 Mdot .56813 .64532 Mdot .5754 .13632 Mdot .5754 .62728 Mdot .60342 .18526 Mdot .60342 .57834 Mdot .65384 .1705 Mdot .65384 .5931 Mdot .67461 .20691 Mdot .67461 .55669 Mdot .68302 .33124 Mdot .68302 .43236 Mdot .70023 .25242 Mdot .70023 .51118 Mdot .72266 .2634 Mdot .72266 .5002 Mdot .7335 .32108 Mdot .7335 .44252 Mdot .74333 .36386 Mdot .74333 .39974 Mdot .15698 .3818 Mdot .19711 .3818 Mdot .2204 .34121 Mdot .2204 .42239 Mdot .23458 .2959 Mdot .23458 .46771 Mdot .25138 .26922 Mdot .25138 .49438 Mdot .2669 .22693 Mdot .2669 .53668 Mdot .30661 .20613 Mdot .30661 .55747 Mdot .31268 .16381 Mdot .31268 .59979 Mdot .35413 .12417 Mdot .35413 .63943 Mdot .37746 .15821 Mdot .37746 .60539 Mdot .42277 .14596 Mdot .42277 .61764 Mdot .43957 .11949 Mdot .43957 .64411 Mdot .48205 .3818 Mdot .49405 .12777 Mdot .49405 .63583 Mdot .49919 .1724 Mdot .49919 .5912 Mdot .56543 .12143 Mdot .56543 .64218 Mdot .59067 .1397 Mdot .59067 .6239 Mdot .62842 .17429 Mdot .62842 .58931 Mdot .64231 .22101 Mdot .64231 .54259 Mdot .66956 .19056 Mdot .66956 .57304 Mdot .69378 .3818 Mdot .69496 .22275 Mdot .69496 .54085 Mdot .71687 .3818 Mdot .72185 .26882 Mdot .72185 .49478 Mdot .74688 .31939 Mdot .74688 .44421 Mdot .76505 .31285 Mdot .76505 .45075 Mdot .16845 .3818 Mdot .21024 .32754 Mdot .21024 .43606 Mdot .21741 .3818 Mdot .22569 .29823 Mdot .22569 .46537 Mdot .2539 .24192 Mdot .2539 .52168 Mdot .26273 .3818 Mdot .27041 .22308 Mdot .27041 .54052 Mdot .28828 .20499 Mdot .28828 .55861 Mdot .33187 .15005 Mdot .33187 .61355 Mdot .3629 .20516 Mdot .3629 .55844 Mdot .37624 .14614 Mdot .37624 .61746 Mdot .40609 .15811 Mdot .40609 .60549 Mdot .4243 .13782 Mdot .4243 .62578 Mdot .46919 .12319 Mdot .46919 .64041 Mdot .50561 .12351 Mdot .50561 .64009 Mdot .54875 .12891 Mdot .54875 .63469 Mdot .57106 .15361 Mdot .57106 .60999 Mdot .61793 .16098 Mdot .61793 .60262 Mdot .63961 .17324 Mdot .63961 .59036 Mdot .67595 .22781 Mdot .67595 .53579 Mdot .68758 .13522 Mdot .68758 .62838 Mdot .68952 .25373 Mdot .68952 .50987 Mdot .7144 .2846 Mdot .7144 .479 Mdot .72384 .34159 Mdot .72384 .42201 Mdot .73241 .36392 Mdot .73241 .39968 Mdot .76021 .26542 Mdot .76021 .49818 Mdot .21571 .28147 Mdot .21571 .48213 Mdot .22703 .3818 Mdot .22916 .33926 Mdot .22916 .42434 Mdot .23738 .27787 Mdot .23738 .48574 Mdot .25261 .2272 Mdot .25261 .53641 Mdot .29621 .20382 Mdot .29621 .55978 Mdot .30738 .12891 Mdot .30738 .63469 Mdot .3098 .26851 Mdot .3098 .49509 Mdot .37399 .14407 Mdot .37399 .61953 Mdot .38027 .18919 Mdot .38027 .57441 Mdot .4186 .14273 Mdot .4186 .62087 Mdot .42406 .16901 Mdot .42406 .59459 Mdot .46817 .11413 Mdot .46817 .64947 Mdot .48205 .3818 Mdot .50882 .11821 Mdot .50882 .64539 Mdot .5352 .12901 Mdot .5352 .63459 Mdot .58719 .13937 Mdot .58719 .62424 Mdot .62793 .12994 Mdot .62793 .63366 Mdot .63377 .1767 Mdot .63377 .5869 Mdot .66886 .19176 Mdot .66886 .57184 Mdot .69479 .23932 Mdot .69479 .52429 Mdot .72105 .21443 Mdot .72105 .54917 Mdot .72238 .3818 Mdot .7299 .27574 Mdot .7299 .48786 Mdot .72991 .32326 Mdot .72991 .44034 Mdot .7438 .34744 Mdot .7438 .41616 Mdot .15301 .29316 Mdot .15301 .47044 Mdot .21047 .37077 Mdot .21047 .39283 Mdot .24467 .28522 Mdot .24467 .47838 Mdot .2458 .3401 Mdot .2458 .4235 Mdot .25065 .24542 Mdot .25065 .51818 Mdot .28322 .20855 Mdot .28322 .55505 Mdot .31138 .14959 Mdot .31138 .61401 Mdot .32321 .18369 Mdot .32321 .57991 Mdot .35978 .15983 Mdot .35978 .60377 Mdot .40339 .14005 Mdot .40339 .62355 Mdot .42994 .16 Mdot .42994 .60361 Mdot .46891 .13808 Mdot .46891 .62552 Mdot .47158 .10734 Mdot .47158 .65626 Mdot .528 .1286 Mdot .528 .635 Mdot .58392 .1315 Mdot .58392 .6321 Mdot .58487 .12551 Mdot .58487 .63809 Mdot .59552 .17068 Mdot .59552 .59292 Mdot .65171 .15946 Mdot .65171 .60414 Mdot .66009 .3818 Mdot .6647 .19742 Mdot .6647 .56618 Mdot .68473 .3818 Mdot .69439 .22421 Mdot .69439 .53939 Mdot .71701 .25856 Mdot .71701 .50504 Mdot .72028 .2872 Mdot .72028 .4764 Mdot .74092 .3327 Mdot .74092 .4309 Mdot .7416 .3818 Mdot .22052 .24362 Mdot .22052 .51998 Mdot .22766 .37357 Mdot .22766 .39003 Mdot .23562 .28204 Mdot .23562 .48156 Mdot .2469 .33007 Mdot .2469 .43354 Mdot .26958 .23275 Mdot .26958 .53085 Mdot .29089 .20551 Mdot .29089 .55809 Mdot .30497 .3818 Mdot .33123 .19903 Mdot .33123 .56457 Mdot .34601 .1512 Mdot .34601 .6124 Mdot .38734 .11446 Mdot .38734 .64915 Mdot .39157 .13246 Mdot .39157 .63114 Mdot .43623 .12427 Mdot .43623 .63933 Mdot .45562 .1145 Mdot .45562 .6491 Mdot .51557 .15065 Mdot .51557 .61295 Mdot .54176 .09887 Mdot .54176 .66473 Mdot .56268 .15354 Mdot .56268 .61006 Mdot .5781 .14095 Mdot .5781 .62265 Mdot .62254 .16281 Mdot .62254 .60079 Mdot .65519 .19922 Mdot .65519 .56438 Mdot .67814 .20822 Mdot .67814 .55538 Mdot .70028 .23909 Mdot .70028 .52451 Mdot .71314 .30285 Mdot .71314 .46075 Mdot .71519 .27366 Mdot .71519 .48994 Mdot .74456 .33679 Mdot .74456 .42681 Mdot .7459 .3818 Mdot .83709 .3818 Mdot .13098 .3818 Mdot .21842 .34437 Mdot .21842 .41923 Mdot .24714 .33506 Mdot .24714 .42854 Mdot .25717 .28088 Mdot .25717 .48272 Mdot .25889 .23992 Mdot .25889 .52368 Mdot .27257 .20526 Mdot .27257 .55834 Mdot .30985 .17335 Mdot .30985 .59025 Mdot .36427 .17834 Mdot .36427 .58526 Mdot .36841 .16014 Mdot .36841 .60346 Mdot .387 .10504 Mdot .387 .65856 Mdot .43319 .1319 Mdot .43319 .6317 Mdot .48205 .3818 Mdot .48205 .3818 Mdot .48392 .1265 Mdot .48392 .6371 Mdot .53325 .11816 Mdot .53325 .64544 Mdot .54617 .13114 Mdot .54617 .63247 Mdot .59861 .18485 Mdot .59861 .57875 Mdot .6221 .12758 Mdot .6221 .63602 Mdot .63635 .16853 Mdot .63635 .59507 Mdot .67438 .18464 Mdot .67438 .57896 Mdot .69932 .27452 Mdot .69932 .48908 Mdot .70784 .30812 Mdot .70784 .45548 Mdot .70929 .22849 Mdot .70929 .53511 Mdot .711 .37092 Mdot .711 .39268 Mdot .74156 .31259 Mdot .74156 .45101 Mdot .22436 .34931 Mdot .22436 .41429 Mdot .22785 .32102 Mdot .22785 .44258 Mdot .23521 .28323 Mdot .23521 .48038 Mdot .24095 .3818 Mdot .26728 .25217 Mdot .26728 .51143 Mdot .27276 .22049 Mdot .27276 .54311 Mdot .31428 .20452 Mdot .31428 .55908 Mdot .33035 .17175 Mdot .33035 .59185 Mdot .37432 .15664 Mdot .37432 .60696 Mdot .37592 .12991 Mdot .37592 .63369 Mdot .42489 .09072 Mdot .42489 .67288 Mdot .4345 .10252 Mdot .4345 .66108 Mdot .49428 .13559 Mdot .49428 .62801 Mdot .50355 .11758 Mdot .50355 .64602 Mdot .55334 .11787 Mdot .55334 .64573 Mdot .57857 .20983 Mdot .57857 .55377 Mdot .59287 .14277 Mdot .59287 .62084 Mdot .63923 .22736 Mdot .63923 .53624 Mdot .65251 .20313 Mdot .65251 .56047 Mdot .65643 .15564 Mdot .65643 .60796 Mdot .70153 .23955 Mdot .70153 .52406 Mdot .72752 .29217 Mdot .72752 .47143 Mdot .72879 .3818 Mdot .7306 .34208 Mdot .7306 .42152 Mdot .73951 .23308 Mdot .73951 .53052 Mdot .80709 .3818 Mdot .20563 .3818 Mdot .23379 .29572 Mdot .23379 .46788 Mdot .23419 .35104 Mdot .23419 .41256 Mdot .24505 .23965 Mdot .24505 .52395 Mdot .26255 .30586 Mdot .26255 .45774 Mdot .28168 .21888 Mdot .28168 .54472 Mdot .28334 .11567 Mdot .28334 .64793 Mdot .31132 .19523 Mdot .31132 .56837 Mdot .32212 .15996 Mdot .32212 .60364 Mdot .37856 .14583 Mdot .37856 .61777 Mdot .3984 .16789 Mdot .3984 .59572 Mdot .43048 .12823 Mdot .43048 .63537 Mdot .47315 .12196 Mdot .47315 .64164 Mdot .5189 .12693 Mdot .5189 .63667 Mdot .5639 .09673 Mdot .5639 .66687 Mdot .57128 .14025 Mdot .57128 .62335 Mdot .6199 .14972 Mdot .6199 .61388 Mdot .62484 .16914 Mdot .62484 .59446 Mdot .66353 .3818 Mdot .67062 .2008 Mdot .67062 .56281 Mdot .67485 .29339 Mdot .67485 .47021 Mdot .69288 .22806 Mdot .69288 .53554 Mdot .71091 .25378 Mdot .71091 .50982 Mdot .72461 .3818 Mdot .74464 .29819 Mdot .74464 .46541 Mdot .76607 .35582 Mdot .76607 .40778 Mdot .1964 .3818 Mdot .20964 .24767 Mdot .20964 .51594 Mdot .23487 .28218 Mdot .23487 .48142 Mdot .24444 .34305 Mdot .24444 .42056 Mdot .26898 .3818 Mdot .28032 .22067 Mdot .28032 .54293 Mdot .30048 .26749 Mdot .30048 .49612 Mdot .30771 .16897 Mdot .30771 .59463 Mdot .33712 .18375 Mdot .33712 .57985 Mdot .36625 .14723 Mdot .36625 .61637 Mdot .37852 .13368 Mdot .37852 .62992 Mdot .43084 .12157 Mdot .43084 .64203 Mdot .4792 .10512 Mdot .4792 .65848 Mdot .48205 .3818 Mdot .49785 .15196 Mdot .49785 .61164 Mdot .53493 .12768 Mdot .53493 .63592 Mdot .56714 .15145 Mdot .56714 .61215 Mdot .6078 .15775 Mdot .6078 .60585 Mdot .64474 .1843 Mdot .64474 .5793 Mdot .65755 .17608 Mdot .65755 .58752 Mdot .6878 .22084 Mdot .6878 .54276 Mdot .70183 .24821 Mdot .70183 .51539 Mdot .70713 .3818 Mdot .73763 .29296 Mdot .73763 .47064 Mdot .7395 .32445 Mdot .7395 .43915 Mdot .75543 .3818 Mdot .83623 .3818 Mdot .21874 .33307 Mdot .21874 .43053 Mdot .22669 .08979 Mdot .22669 .67381 Mdot .23806 .27742 Mdot .23806 .48618 Mdot .2403 .37582 Mdot .2403 .38778 Mdot .27328 .28388 Mdot .27328 .47972 Mdot .27527 .21765 Mdot .27527 .54595 Mdot .3004 .20947 Mdot .3004 .55413 Mdot .33022 .15588 Mdot .33022 .60772 Mdot .35209 .15012 Mdot .35209 .61348 Mdot .40611 .13663 Mdot .40611 .62697 Mdot .41107 .22224 Mdot .41107 .54136 Mdot .44409 .12307 Mdot .44409 .64053 Mdot .48205 .3818 Mdot .4914 .11522 Mdot .4914 .64839 Mdot .53794 .12284 Mdot .53794 .64076 Mdot .5659 .11739 Mdot .5659 .64621 Mdot .57705 .15007 Mdot .57705 .61353 Mdot .61795 .15005 Mdot .61795 .61355 Mdot .64206 .17539 Mdot .64206 .58821 Mdot .68044 .22458 Mdot .68044 .53902 Mdot .69152 .22785 Mdot .69152 .53575 Mdot .70689 .26941 Mdot .70689 .49419 Mdot .72358 .3143 Mdot .72358 .4493 Mdot .73197 .36724 Mdot .73197 .39636 Mdot .75649 .31066 Mdot .75649 .45295 Mdot .19395 .28745 Mdot .19395 .47615 Mdot .2265 .3818 Mdot .25285 .31716 Mdot .25285 .44644 Mdot .25474 .2549 Mdot .25474 .5087 Mdot .26232 .34509 Mdot .26232 .41851 Mdot .28036 .22713 Mdot .28036 .53647 Mdot .29705 .197 Mdot .29705 .5666 Mdot .32696 .15413 Mdot .32696 .60947 Mdot .37076 .17368 Mdot .37076 .58992 Mdot .3864 .12189 Mdot .3864 .64171 Mdot .40833 .13947 Mdot .40833 .62413 Mdot .45881 .1278 Mdot .45881 .6358 Mdot .48065 .12587 Mdot .48065 .63773 Mdot .48205 .3818 Mdot .48205 .3818 Mdot .5268 .12528 Mdot .5268 .63832 Mdot .56452 .14043 Mdot .56452 .62317 Mdot .60234 .15019 Mdot .60234 .61341 Mdot .62755 .16986 Mdot .62755 .59374 Mdot .66627 .23984 Mdot .66627 .52376 Mdot .68527 .2085 Mdot .68527 .5551 Mdot .69452 .23437 Mdot .69452 .52923 Mdot .70212 .3818 Mdot .71725 .29112 Mdot .71725 .47248 Mdot .72972 .32566 Mdot .72972 .43794 Mdot .79667 .3818 Mdot .80796 .2869 Mdot .80796 .47671 Mdot .1574 .32748 Mdot .1574 .43612 Mdot .21139 .3818 Mdot .22317 .34091 Mdot .22317 .42269 Mdot .24119 .30182 Mdot .24119 .46178 Mdot .26227 .26365 Mdot .26227 .49995 Mdot .2662 .21225 Mdot .2662 .55136 Mdot .29588 .16797 Mdot .29588 .59563 Mdot .30146 .20042 Mdot .30146 .56318 Mdot .33914 .1676 Mdot .33914 .596 Mdot .37813 .13861 Mdot .37813 .62499 Mdot .40975 .13279 Mdot .40975 .63081 Mdot .44227 .11623 Mdot .44227 .64737 Mdot .50555 .11531 Mdot .50555 .64829 Mdot .51394 .1737 Mdot .51394 .5899 Mdot .52787 .15297 Mdot .52787 .61063 Mdot .58222 .15154 Mdot .58222 .61207 Mdot .60852 .18061 Mdot .60852 .583 Mdot .61309 .09976 Mdot .61309 .66384 Mdot .64676 .17797 Mdot .64676 .58563 Mdot .67871 .29311 Mdot .67871 .47049 Mdot .68057 .2029 Mdot .68057 .5607 Mdot .70257 .2377 Mdot .70257 .5259 Mdot .72348 .3818 Mdot .73048 .32091 Mdot .73048 .44269 Mdot .73173 .3818 Mdot .74007 .29601 Mdot .74007 .4676 Mdot .181 .3818 Mdot .20096 .3818 Mdot .22155 .27699 Mdot .22155 .48662 Mdot .23168 .326 Mdot .23168 .4376 Mdot .25844 .21595 Mdot .25844 .54765 Mdot .27772 .29532 Mdot .27772 .46828 Mdot .28102 .25206 Mdot .28102 .51154 Mdot .30509 .18483 Mdot .30509 .57878 Mdot .34569 .192 Mdot .34569 .5716 Mdot .36231 .14983 Mdot .36231 .61377 Mdot .40527 .12946 Mdot .40527 .63414 Mdot .44823 .11993 Mdot .44823 .64367 Mdot .48063 .11821 Mdot .48063 .64539 Mdot .50547 .11356 Mdot .50547 .65004 Mdot .55999 .10988 Mdot .55999 .65372 Mdot .56552 .13456 Mdot .56552 .62904 Mdot .61234 .1612 Mdot .61234 .6024 Mdot .62681 .20625 Mdot .62681 .55735 Mdot .65349 .19682 Mdot .65349 .56678 Mdot .68694 .3818 Mdot .68856 .21871 Mdot .68856 .54489 Mdot .69756 .25892 Mdot .69756 .50468 Mdot .73345 .29647 Mdot .73345 .46713 Mdot .73714 .35938 Mdot .73714 .40422 Mdot .79582 .32998 Mdot .79582 .43362 Mdot .18487 .3358 Mdot .18487 .4278 Mdot .18988 .3818 Mdot .21862 .26146 Mdot .21862 .50214 Mdot .23395 .3818 Mdot .24568 .18244 Mdot .24568 .58116 Mdot .25103 .26089 Mdot .25103 .50271 Mdot .26139 .31592 Mdot .26139 .44768 Mdot .29796 .19919 Mdot .29796 .56441 Mdot .32522 .1779 Mdot .32522 .5857 Mdot .365 .14923 Mdot .365 .61437 Mdot .38083 .13538 Mdot .38083 .62822 Mdot .41517 .13639 Mdot .41517 .62721 Mdot .46258 .13222 Mdot .46258 .63138 Mdot .49606 .1244 Mdot .49606 .6392 Mdot .54174 .12981 Mdot .54174 .63379 Mdot .56579 .14273 Mdot .56579 .62087 Mdot .58938 .17376 Mdot .58938 .58985 Mdot .59636 .15948 Mdot .59636 .60412 Mdot .64324 .18647 Mdot .64324 .57713 Mdot .65862 .23248 Mdot .65862 .53112 Mdot .69267 .32774 Mdot .69267 .43586 Mdot .69445 .22145 Mdot .69445 .54215 Mdot .72216 .28681 Mdot .72216 .47679 Mdot .73098 .3818 Mdot .745 .33765 Mdot .745 .42595 Mdot .7493 .24286 Mdot .7493 .52074 Mdot .22777 .3818 Mdot .22999 .32479 Mdot .22999 .43881 Mdot .24558 .28915 Mdot .24558 .47445 Mdot .24857 .35785 Mdot .24857 .40575 Mdot .26073 .24566 Mdot .26073 .51794 Mdot .28941 .15112 Mdot .28941 .61248 Mdot .29836 .22645 Mdot .29836 .53715 Mdot .30537 .18468 Mdot .30537 .57892 Mdot .35024 .15362 Mdot .35024 .60998 Mdot .38809 .14132 Mdot .38809 .62228 Mdot .43772 .14392 Mdot .43772 .61968 Mdot .43937 .10952 Mdot .43937 .65408 Mdot .5012 .14168 Mdot .5012 .62192 Mdot .52259 .14969 Mdot .52259 .61391 Mdot .53838 .17159 Mdot .53838 .59201 Mdot .54456 .09414 Mdot .54456 .66946 Mdot .59732 .12089 Mdot .59732 .64271 Mdot .6184 .18173 Mdot .6184 .58187 Mdot .65046 .18293 Mdot .65046 .58068 Mdot .68124 .20869 Mdot .68124 .55491 Mdot .71412 .26439 Mdot .71412 .49921 Mdot .72434 .37683 Mdot .72434 .38677 Mdot .73618 .22181 Mdot .73618 .54179 Mdot .73995 .31394 Mdot .73995 .44966 Mdot .76404 .30882 Mdot .76404 .45478 Mdot .21725 .30755 Mdot .21725 .45605 Mdot .2293 .3484 Mdot .2293 .4152 Mdot .22995 .3818 Mdot .25757 .27892 Mdot .25757 .48468 Mdot .26682 .24193 Mdot .26682 .52167 Mdot .27467 .1988 Mdot .27467 .5648 Mdot .30643 .16472 Mdot .30643 .59889 Mdot .31567 .18941 Mdot .31567 .57419 Mdot .33656 .3818 Mdot .36138 .15151 Mdot .36138 .61209 Mdot .39457 .14453 Mdot .39457 .61908 Mdot .43775 .1254 Mdot .43775 .6382 Mdot .4408 .15084 Mdot .4408 .61276 Mdot .4956 .1241 Mdot .4956 .6395 Mdot .52785 .10447 Mdot .52785 .65913 Mdot .55499 .11916 Mdot .55499 .64444 Mdot .58374 .14658 Mdot .58374 .61702 Mdot .61912 .16768 Mdot .61912 .59592 Mdot .65492 .20319 Mdot .65492 .56041 Mdot .68903 .18942 Mdot .68903 .57418 Mdot .69636 .29557 Mdot .69636 .46803 Mdot .71006 .23544 Mdot .71006 .52816 Mdot .7298 .29298 Mdot .7298 .47063 Mdot .73479 .33491 Mdot .73479 .42869 Mdot .73981 .3818 Mdot .78842 .23228 Mdot .78842 .53132 Mdot .15161 .3818 Mdot .19895 .3818 Mdot .22862 .32877 Mdot .22862 .43483 Mdot .22948 .3818 Mdot .23779 .28546 Mdot .23779 .47814 Mdot .26477 .22877 Mdot .26477 .53483 Mdot .28437 .27288 Mdot .28437 .49072 Mdot .28443 .1947 Mdot .28443 .5689 Mdot .32978 .09924 Mdot .32978 .66436 Mdot .33625 .18812 Mdot .33625 .57548 Mdot .33984 .13306 Mdot .33984 .63054 Mdot .38665 .13774 Mdot .38665 .62586 Mdot .43101 .13319 Mdot .43101 .63042 Mdot .46894 .1124 Mdot .46894 .65121 Mdot .50481 .12747 Mdot .50481 .63613 Mdot .54588 .13265 Mdot .54588 .63095 Mdot .58668 .14985 Mdot .58668 .61375 Mdot .60731 .15881 Mdot .60731 .60479 Mdot .63564 .15916 Mdot .63564 .60444 Mdot .6596 .20176 Mdot .6596 .56184 Mdot .66178 .28158 Mdot .66178 .48203 Mdot .67714 .2245 Mdot .67714 .5391 Mdot .67955 .3818 Mdot .72119 .26372 Mdot .72119 .49988 Mdot .72462 .32983 Mdot .72462 .43377 Mdot .74818 .31723 Mdot .74818 .44637 Mdot .77087 .3818 Mdot .2152 .34357 Mdot .2152 .42003 Mdot .21723 .30186 Mdot .21723 .46174 Mdot .22578 .27416 Mdot .22578 .48945 Mdot .244 .3818 Mdot .25539 .26187 Mdot .25539 .50173 Mdot .28464 .21867 Mdot .28464 .54493 Mdot .29109 .14655 Mdot .29109 .61705 Mdot .30735 .20956 Mdot .30735 .55404 Mdot .35065 .16127 Mdot .35065 .60233 Mdot .37967 .13823 Mdot .37967 .62537 Mdot .41842 .13184 Mdot .41842 .63176 Mdot .46806 .11879 Mdot .46806 .64481 Mdot .48205 .3818 Mdot .4984 .14459 Mdot .4984 .61901 Mdot .5256 .13738 Mdot .5256 .62622 Mdot .57343 .1454 Mdot .57343 .6182 Mdot .5886 .20904 Mdot .5886 .55456 Mdot .62547 .08701 Mdot .62547 .67659 Mdot .63395 .23707 Mdot .63395 .52653 Mdot .64809 .14502 Mdot .64809 .61859 Mdot .66907 .19322 Mdot .66907 .57038 Mdot .69695 .24506 Mdot .69695 .51854 Mdot .72704 .3473 Mdot .72704 .41631 Mdot .73272 .3012 Mdot .73272 .4624 Mdot .73808 .27549 Mdot .73808 .48811 Mdot .75278 .3818 Mdot .20987 .30758 Mdot .20987 .45602 Mdot .2332 .34051 Mdot .2332 .42309 Mdot .23452 .28469 Mdot .23452 .47891 Mdot .23985 .3818 Mdot .2556 .2627 Mdot .2556 .5009 Mdot .27043 .21813 Mdot .27043 .54547 Mdot .29567 .17082 Mdot .29567 .59278 Mdot .32431 .17742 Mdot .32431 .58618 Mdot .36457 .10864 Mdot .36457 .65496 Mdot .3697 .14801 Mdot .3697 .61559 Mdot .44242 .13476 Mdot .44242 .62884 Mdot .46165 .12361 Mdot .46165 .63999 Mdot .48205 .3818 Mdot .48205 .3818 Mdot .49391 .07184 Mdot .49391 .69176 Mdot .51642 .14783 Mdot .51642 .61577 Mdot .52364 .18464 Mdot .52364 .57897 Mdot .55774 .13211 Mdot .55774 .63149 Mdot .60813 .1588 Mdot .60813 .6048 Mdot .62947 .19125 Mdot .62947 .57235 Mdot .67209 .19665 Mdot .67209 .56695 Mdot .70393 .29804 Mdot .70393 .46557 Mdot .70645 .23305 Mdot .70645 .53055 Mdot .71919 .27011 Mdot .71919 .49349 Mdot .73368 .31655 Mdot .73368 .44705 Mdot .73757 .3818 Mdot .76631 .3818 Mdot .12919 .3818 Mdot .20478 .3818 Mdot .22416 .32645 Mdot .22416 .43715 Mdot .23041 .3818 Mdot .23241 .21903 Mdot .23241 .54457 Mdot .26315 .25838 Mdot .26315 .50522 Mdot .27939 .27011 Mdot .27939 .49349 Mdot .29533 .19315 Mdot .29533 .57045 Mdot .33297 .16407 Mdot .33297 .59953 Mdot .33857 .20872 Mdot .33857 .55488 Mdot .39165 .14634 Mdot .39165 .61726 Mdot .3928 .17945 Mdot .3928 .58416 Mdot .45086 .1252 Mdot .45086 .6384 Mdot .4742 .11798 Mdot .4742 .64562 Mdot .48205 .3818 Mdot .51902 .10976 Mdot .51902 .65384 Mdot .53265 .12298 Mdot .53265 .64062 Mdot .57646 .15229 Mdot .57646 .61131 Mdot .62029 .14016 Mdot .62029 .62344 Mdot .62977 .19586 Mdot .62977 .56774 Mdot .66274 .15965 Mdot .66274 .60395 Mdot .67941 .21632 Mdot .67941 .54728 Mdot .70486 .27567 Mdot .70486 .48793 Mdot .70821 .24821 Mdot .70821 .51539 Mdot .73496 .30264 Mdot .73496 .46096 Mdot .73991 .33384 Mdot .73991 .42976 Mdot .74711 .3818 Mdot .18223 .3818 Mdot .21846 .3818 Mdot .23533 .28608 Mdot .23533 .47752 Mdot .2369 .33793 Mdot .2369 .42567 Mdot .23857 .23796 Mdot .23857 .52564 Mdot .25396 .23926 Mdot .25396 .52434 Mdot .29585 .19949 Mdot .29585 .56411 Mdot .30089 .1591 Mdot .30089 .6045 Mdot .34399 .3818 Mdot .34969 .16562 Mdot .34969 .59798 Mdot .35513 .11326 Mdot .35513 .65034 Mdot .40513 .14231 Mdot .40513 .62129 Mdot .44726 .12886 Mdot .44726 .63474 Mdot .49367 .11355 Mdot .49367 .65006 Mdot .52321 .15958 Mdot .52321 .60402 Mdot .53162 .11689 Mdot .53162 .64671 Mdot .58825 .15022 Mdot .58825 .61338 Mdot .59897 .09141 Mdot .59897 .67219 Mdot .63189 .16283 Mdot .63189 .60077 Mdot .64394 .207 Mdot .64394 .5566 Mdot .68514 .21504 Mdot .68514 .54857 Mdot .71627 .2876 Mdot .71627 .47601 Mdot .71654 .24975 Mdot .71654 .51385 Mdot .72538 .30709 Mdot .72538 .45651 Mdot .72609 .3818 Mdot .7305 .36354 Mdot .7305 .40006 Mdot .22056 .36428 Mdot .22056 .39932 Mdot .22432 .30343 Mdot .22432 .46017 Mdot .25529 .28738 Mdot .25529 .47622 Mdot .26368 .24278 Mdot .26368 .52082 Mdot .26713 .3818 Mdot .28164 .20122 Mdot .28164 .56238 Mdot .30058 .17871 Mdot .30058 .58489 Mdot .3249 .3818 Mdot .34274 .16721 Mdot .34274 .59639 Mdot .35467 .13798 Mdot .35467 .62562 Mdot .37771 .08381 Mdot .37771 .67979 Mdot .41832 .1404 Mdot .41832 .6232 Mdot .45838 .12279 Mdot .45838 .64081 Mdot .51101 .13943 Mdot .51101 .62417 Mdot .54539 .13432 Mdot .54539 .62928 Mdot .5694 .12538 Mdot .5694 .63822 Mdot .61561 .15448 Mdot .61561 .60912 Mdot .61829 .09741 Mdot .61829 .66619 Mdot .64111 .22476 Mdot .64111 .53884 Mdot .66207 .18831 Mdot .66207 .57529 Mdot .69492 .23732 Mdot .69492 .52628 Mdot .71652 .25399 Mdot .71652 .50961 Mdot .72176 .28873 Mdot .72176 .47487 Mdot .73567 .32655 Mdot .73567 .43705 Mdot .7436 .35931 Mdot .7436 .40429 Mdot .2086 .3676 Mdot .2086 .396 Mdot .2277 .30743 Mdot .2277 .45617 Mdot .24046 .3818 Mdot .25062 .24713 Mdot .25062 .51647 Mdot .25645 .17392 Mdot .25645 .58968 Mdot .26123 .28448 Mdot .26123 .47913 Mdot .28373 .22166 Mdot .28373 .54194 Mdot .32344 .18367 Mdot .32344 .57993 Mdot .35032 .15563 Mdot .35032 .60797 Mdot .37923 .15075 Mdot .37923 .61285 Mdot .42522 .13403 Mdot .42522 .62957 Mdot .44504 .15235 Mdot .44504 .61125 Mdot .48264 .13438 Mdot .48264 .62922 Mdot .50526 .10947 Mdot .50526 .65413 Mdot .54928 .14157 Mdot .54928 .62203 Mdot .57183 .16246 Mdot .57183 .60114 Mdot .60958 .14629 Mdot .60958 .61731 Mdot .63657 .16478 Mdot .63657 .59882 Mdot .64298 .3818 Mdot .66984 .1869 Mdot .66984 .5767 Mdot .69098 .22497 Mdot .69098 .53864 Mdot .70791 .2744 Mdot .70791 .4892 Mdot .72624 .32063 Mdot .72624 .44297 Mdot .7383 .2701 Mdot .7383 .4935 Mdot .74532 .3818 Mdot .77961 .3818 Mdot .87173 .3818 Mdot .21908 .3596 Mdot .21908 .40401 Mdot .22505 .31478 Mdot .22505 .44882 Mdot .24757 .25866 Mdot .24757 .50494 Mdot .26583 .20697 Mdot .26583 .55664 Mdot .27193 .31231 Mdot .27193 .45129 Mdot .28392 .19731 Mdot .28392 .56629 Mdot .33964 .18054 Mdot .33964 .58306 Mdot .35714 .22561 Mdot .35714 .53799 Mdot .37623 .15273 Mdot .37623 .61087 Mdot .42267 .12118 Mdot .42267 .64242 Mdot .45826 .12478 Mdot .45826 .63882 Mdot .4736 .10165 Mdot .4736 .66195 Mdot .48205 .3818 Mdot .48205 .3818 Mdot .51503 .16604 Mdot .51503 .59756 Mdot .53977 .1182 Mdot .53977 .6454 Mdot .58212 .13237 Mdot .58212 .63123 Mdot .60504 .16111 Mdot .60504 .6025 Mdot .65905 .18686 Mdot .65905 .57674 Mdot .697 .2315 Mdot .697 .5321 Mdot .69952 .18837 Mdot .69952 .57523 Mdot .71941 .2848 Mdot .71941 .47881 Mdot .73601 .33372 Mdot .73601 .42988 Mdot .73857 .3818 Mdot .75243 .26152 Mdot .75243 .50209 Mdot .80281 .3818 Mdot .13186 .3818 Mdot .21989 .3818 Mdot .22501 .33379 Mdot .22501 .42981 Mdot .24714 .29834 Mdot .24714 .46526 Mdot .2478 .24578 Mdot .2478 .51782 Mdot .2873 .22619 Mdot .2873 .53741 Mdot .29101 .19113 Mdot .29101 .57247 Mdot .30596 .2347 Mdot .30596 .5289 Mdot .33758 .17059 Mdot .33758 .59301 Mdot .35788 .06333 Mdot .35788 .70027 Mdot .38775 .15307 Mdot .38775 .61053 Mdot .42055 .1094 Mdot .42055 .6542 Mdot .45336 .12485 Mdot .45336 .63875 Mdot .49217 .11886 Mdot .49217 .64474 Mdot .51821 .12454 Mdot .51821 .63906 Mdot .56738 .13365 Mdot .56738 .62995 Mdot .59365 .15354 Mdot .59365 .61006 Mdot .63226 .3818 Mdot .63413 .16502 Mdot .63413 .59858 Mdot .63978 .1923 Mdot .63978 .5713 Mdot .68117 .21944 Mdot .68117 .54416 Mdot .712 .23756 Mdot .712 .52604 Mdot .71225 .34874 Mdot .71225 .41486 Mdot .7274 .26505 Mdot .7274 .49855 Mdot .73624 .3818 Mdot .73988 .32445 Mdot .73988 .43915 Mdot .20266 .2817 Mdot .20266 .4819 Mdot .21421 .34639 Mdot .21421 .41721 Mdot .23464 .3818 Mdot .24136 .21055 Mdot .24136 .55305 Mdot .25182 .24075 Mdot .25182 .52285 Mdot .253 .31183 Mdot .253 .45177 Mdot .27605 .19769 Mdot .27605 .56591 Mdot .31401 .19149 Mdot .31401 .57211 Mdot .33241 .16164 Mdot .33241 .60196 Mdot .37969 .14883 Mdot .37969 .61477 Mdot .41782 .13201 Mdot .41782 .63159 Mdot .44524 .11045 Mdot .44524 .65315 Mdot .469 .19771 Mdot .469 .56589 Mdot .50417 .12636 Mdot .50417 .63724 Mdot .52691 .10332 Mdot .52691 .66028 Mdot .56039 .14288 Mdot .56039 .62072 Mdot .5991 .17033 Mdot .5991 .59327 Mdot .62903 .16291 Mdot .62903 .60069 Mdot .6722 .21805 Mdot .6722 .54555 Mdot .67587 .15585 Mdot .67587 .60775 Mdot .68623 .24917 Mdot .68623 .51443 Mdot .71191 .30537 Mdot .71191 .45823 Mdot .71299 .25898 Mdot .71299 .50462 Mdot .74328 .36673 Mdot .74328 .39687 Mdot .74385 .31608 Mdot .74385 .44752 Mdot .19338 .30719 Mdot .19338 .45641 Mdot .22854 .3818 Mdot .23171 .34155 Mdot .23171 .42205 Mdot .23605 .26701 Mdot .23605 .49659 Mdot .26257 .25716 Mdot .26257 .50644 Mdot .27132 .1637 Mdot .27132 .5999 Mdot .28091 .22325 Mdot .28091 .54035 Mdot .3234 .3818 Mdot .32468 .17493 Mdot .32468 .58867 Mdot .36473 .15257 Mdot .36473 .61103 Mdot .39168 .14182 Mdot .39168 .62178 Mdot .43197 .12659 Mdot .43197 .63701 Mdot .44901 .16964 Mdot .44901 .59396 Mdot .48451 .13229 Mdot .48451 .63131 Mdot .53433 .11205 Mdot .53433 .65155 Mdot .53891 .1262 Mdot .53891 .63741 Mdot .5819 .14541 Mdot .5819 .6182 Mdot .6292 .20014 Mdot .6292 .56346 Mdot .6398 .15468 Mdot .6398 .60892 Mdot .67106 .21814 Mdot .67106 .54546 Mdot .69438 .20549 Mdot .69438 .55811 Mdot .72777 .31311 Mdot .72777 .45049 Mdot .7365 .26187 Mdot .7365 .50173 Mdot .74129 .26117 Mdot .74129 .50244 Mdot .74379 .33623 Mdot .74379 .42737 Mdot .74577 .3818 Mdot .19974 .35654 Mdot .19974 .40706 Mdot .23285 .33343 Mdot .23285 .43017 Mdot .2429 .27916 Mdot .2429 .48444 Mdot .2536 .23308 Mdot .2536 .53052 Mdot .27365 .28609 Mdot .27365 .47751 Mdot .2894 .1982 Mdot .2894 .5654 Mdot .3326 .18575 Mdot .3326 .57785 Mdot .37697 .1544 Mdot .37697 .6092 Mdot .38012 .19447 Mdot .38012 .56913 Mdot .38499 .1368 Mdot .38499 .6268 Mdot .40647 .05705 Mdot .40647 .70655 Mdot .44118 .12414 Mdot .44118 .63946 Mdot .48205 .3818 Mdot .49421 .12418 Mdot .49421 .63943 Mdot .53345 .12102 Mdot .53345 .64258 Mdot .56989 .14051 Mdot .56989 .62309 Mdot .62572 .15666 Mdot .62572 .60694 Mdot .62992 .13043 Mdot .62992 .63317 Mdot .6522 .17038 Mdot .6522 .59322 Mdot .65735 .22846 Mdot .65735 .53514 Mdot .68616 .23351 Mdot .68616 .53009 Mdot .69559 .28362 Mdot .69559 .47998 Mdot .7251 .3818 Mdot .73303 .32137 Mdot .73303 .44223 Mdot .73964 .28765 Mdot .73964 .47595 Mdot .7502 .3818 Mdot .18422 .36011 Mdot .18422 .40349 Mdot .2293 .29513 Mdot .2293 .46847 Mdot .24198 .32869 Mdot .24198 .43491 Mdot .25404 .25008 Mdot .25404 .51352 Mdot .26521 .1495 Mdot .26521 .6141 Mdot .28585 .22233 Mdot .28585 .54127 Mdot .31413 .20328 Mdot .31413 .56032 Mdot .31563 .3818 Mdot .33876 .14986 Mdot .33876 .61374 Mdot .36306 .14014 Mdot .36306 .62346 Mdot .38827 .13888 Mdot .38827 .62473 Mdot .4399 .12943 Mdot .4399 .63417 Mdot .47758 .12933 Mdot .47758 .63427 Mdot .51206 .14976 Mdot .51206 .61384 Mdot .54093 .11853 Mdot .54093 .64507 Mdot .58669 .13459 Mdot .58669 .62901 Mdot .60347 .19284 Mdot .60347 .57076 Mdot .60648 .15411 Mdot .60648 .60949 Mdot .66629 .20468 Mdot .66629 .55893 Mdot .69808 .21494 Mdot .69808 .54866 Mdot .71408 .24889 Mdot .71408 .51471 Mdot .73334 .34364 Mdot .73334 .41996 Mdot .73469 .29595 Mdot .73469 .46765 Mdot .73512 .2864 Mdot .73512 .47721 Mdot .73627 .3818 Mdot .21132 .36537 Mdot .21132 .39824 Mdot .22204 .31393 Mdot .22204 .44967 Mdot .25841 .21517 Mdot .25841 .54843 Mdot .2627 .26799 Mdot .2627 .49562 Mdot .26666 .30202 Mdot .26666 .46158 Mdot .28756 .19208 Mdot .28756 .57152 Mdot .31742 .16922 Mdot .31742 .59438 Mdot .32968 .3818 Mdot .3456 .16562 Mdot .3456 .59798 Mdot .3709 .12309 Mdot .3709 .64051 Mdot .41153 .14366 Mdot .41153 .61994 Mdot .44712 .13396 Mdot .44712 .62964 Mdot .48008 .12576 Mdot .48008 .63784 Mdot .48205 .3818 Mdot .52772 .12366 Mdot .52772 .63994 Mdot .53838 .14533 Mdot .53838 .61827 Mdot .59742 .14654 Mdot .59742 .61706 Mdot .62347 .13931 Mdot .62347 .62429 Mdot .62542 .16267 Mdot .62542 .60093 Mdot .65952 .20271 Mdot .65952 .56089 Mdot .69871 .23638 Mdot .69871 .52722 Mdot .70939 .26829 Mdot .70939 .49532 Mdot .71851 .35492 Mdot .71851 .40868 Mdot .73079 .29088 Mdot .73079 .47272 Mdot .73701 .36263 Mdot .73701 .40097 Mdot .9731 .3818 Mdot .21939 .36106 Mdot .21939 .40254 Mdot .22807 .32066 Mdot .22807 .44294 Mdot .2427 .2677 Mdot .2427 .49591 Mdot .25338 .28401 Mdot .25338 .47959 Mdot .26101 .20617 Mdot .26101 .55743 Mdot .29262 .2366 Mdot .29262 .527 Mdot .31306 .18598 Mdot .31306 .57762 Mdot .31343 .1536 Mdot .31343 .61 Mdot .3613 .09013 Mdot .3613 .67347 Mdot .38454 .17558 Mdot .38454 .58802 Mdot .40929 .13804 Mdot .40929 .62556 Mdot .44595 .12737 Mdot .44595 .63623 Mdot .49036 .11855 Mdot .49036 .64505 Mdot .52887 .12059 Mdot .52887 .64301 Mdot .56142 .1332 Mdot .56142 .6304 Mdot .59038 .15021 Mdot .59038 .61339 Mdot .61654 .15881 Mdot .61654 .60479 Mdot .63082 .3818 Mdot .65469 .18493 Mdot .65469 .57867 Mdot .67807 .24101 Mdot .67807 .52259 Mdot .71026 .23333 Mdot .71026 .53027 Mdot .72417 .30805 Mdot .72417 .45555 Mdot .72792 .29577 Mdot .72792 .46783 Mdot .73781 .36618 Mdot .73781 .39742 Mdot .74965 .22658 Mdot .74965 .53702 Mdot .09905 .3818 Mdot .20491 .37254 Mdot .20491 .39106 Mdot .22464 .34211 Mdot .22464 .42149 Mdot .23974 .2573 Mdot .23974 .5063 Mdot .25061 .28499 Mdot .25061 .47861 Mdot .26664 .23563 Mdot .26664 .52797 Mdot .28647 .21054 Mdot .28647 .55306 Mdot .31461 .15023 Mdot .31461 .61337 Mdot .34215 .16467 Mdot .34215 .59894 Mdot .382 .13749 Mdot .382 .62611 Mdot .4033 .12775 Mdot .4033 .63585 Mdot .44495 .11531 Mdot .44495 .64829 Mdot .49176 .1184 Mdot .49176 .6452 Mdot .49606 .1805 Mdot .49606 .5831 Mdot .5371 .13123 Mdot .5371 .63237 Mdot .5589 .15095 Mdot .5589 .61265 Mdot .61218 .14374 Mdot .61218 .61986 Mdot .62624 .17474 Mdot .62624 .58886 Mdot .64827 .19922 Mdot .64827 .56438 Mdot .67145 .23457 Mdot .67145 .52904 Mdot .68274 .25411 Mdot .68274 .50949 Mdot .70884 .27642 Mdot .70884 .48718 Mdot .72426 .32751 Mdot .72426 .43609 Mdot .72527 .3818 Mdot .76181 .30648 Mdot .76181 .45712 Mdot .77752 .3818 Mdot .18204 .27776 Mdot .18204 .48584 Mdot .21038 .3818 Mdot .23333 .3818 Mdot .23944 .3256 Mdot .23944 .438 Mdot .25372 .27878 Mdot .25372 .48482 Mdot .26702 .23578 Mdot .26702 .52782 Mdot .29513 .19677 Mdot .29513 .56683 Mdot .31924 .15276 Mdot .31924 .61084 Mdot .35019 .24337 Mdot .35019 .52023 Mdot .36101 .12221 Mdot .36101 .64139 Mdot .38112 .12624 Mdot .38112 .63736 Mdot .40761 .18934 Mdot .40761 .57427 Mdot .43925 .13503 Mdot .43925 .62857 Mdot .47502 .11941 Mdot .47502 .64419 Mdot .5227 .11928 Mdot .5227 .64432 Mdot .53955 .14038 Mdot .53955 .62322 Mdot .58667 .13742 Mdot .58667 .62618 Mdot .61857 .16877 Mdot .61857 .59483 Mdot .6489 .17835 Mdot .6489 .58525 Mdot .67463 .20993 Mdot .67463 .55368 Mdot .69652 .26293 Mdot .69652 .50067 Mdot .69863 .21818 Mdot .69863 .54542 Mdot .7326 .3818 Mdot .73815 .29416 Mdot .73815 .46944 Mdot .74629 .32228 Mdot .74629 .44132 Mdot .78073 .35836 Mdot .78073 .40524 Mdot .10573 .3818 Mdot .18619 .3818 Mdot .22185 .34941 Mdot .22185 .41419 Mdot .25608 .23156 Mdot .25608 .53204 Mdot .25719 .35342 Mdot .25719 .41018 Mdot .26125 .27506 Mdot .26125 .48854 Mdot .27178 .27127 Mdot .27178 .49233 Mdot .29974 .21075 Mdot .29974 .55285 Mdot .33746 .15263 Mdot .33746 .61097 Mdot .34371 .1906 Mdot .34371 .573 Mdot .38569 .12065 Mdot .38569 .64295 Mdot .39213 .14501 Mdot .39213 .61859 Mdot .43673 .12648 Mdot .43673 .63712 Mdot .48268 .11927 Mdot .48268 .64433 Mdot .52372 .12847 Mdot .52372 .63513 Mdot .5749 .12518 Mdot .5749 .63842 Mdot .59311 .15832 Mdot .59311 .60528 Mdot .60977 .1604 Mdot .60977 .6032 Mdot .66129 .17355 Mdot .66129 .59005 Mdot .66552 .20617 Mdot .66552 .55743 Mdot .68604 .25494 Mdot .68604 .50866 Mdot .7155 .22104 Mdot .7155 .54256 Mdot .71624 .32854 Mdot .71624 .43506 Mdot .7317 .27163 Mdot .7317 .49197 Mdot .73439 .3818 Mdot .74326 .33942 Mdot .74326 .42418 Mdot .2008 .21925 Mdot .2008 .54435 Mdot .22793 .3626 Mdot .22793 .401 Mdot .23832 .30401 Mdot .23832 .45959 Mdot .24516 .33705 Mdot .24516 .42655 Mdot .26242 .26411 Mdot .26242 .49949 Mdot .28492 .20758 Mdot .28492 .55602 Mdot .31959 .18893 Mdot .31959 .57467 Mdot .34257 .16628 Mdot .34257 .59733 Mdot .38143 .16711 Mdot .38143 .59649 Mdot .41185 .04519 Mdot .41185 .71841 Mdot .41329 .14109 Mdot .41329 .62251 Mdot .45788 .12827 Mdot .45788 .63533 Mdot .48205 .3818 Mdot .48205 .3818 Mdot .50331 .13389 Mdot .50331 .62971 Mdot .51207 .10584 Mdot .51207 .65776 Mdot .57819 .13574 Mdot .57819 .62786 Mdot .60922 .15908 Mdot .60922 .60452 Mdot .62249 .17748 Mdot .62249 .58612 Mdot .65103 .3818 Mdot .65735 .18791 Mdot .65735 .57569 Mdot .68332 .22012 Mdot .68332 .54348 Mdot .70463 .25587 Mdot .70463 .50773 Mdot .72462 .30292 Mdot .72462 .46068 Mdot .74354 .36686 Mdot .74354 .39674 Mdot .74806 .30519 Mdot .74806 .45842 Mdot .19783 .3818 Mdot .21343 .31426 Mdot .21343 .44935 Mdot .22287 .36035 Mdot .22287 .40325 Mdot .25192 .23567 Mdot .25192 .52793 Mdot .25538 .28475 Mdot .25538 .47885 Mdot .27165 .20891 Mdot .27165 .55469 Mdot .31004 .20639 Mdot .31004 .55721 Mdot .33012 .16456 Mdot .33012 .59904 Mdot .36757 .25205 Mdot .36757 .51155 Mdot .3687 .15296 Mdot .3687 .61064 Mdot .40113 .13065 Mdot .40113 .63295 Mdot .44602 .13455 Mdot .44602 .62905 Mdot .46891 .12879 Mdot .46891 .63481 Mdot .49934 .11465 Mdot .49934 .64895 Mdot .53821 .13127 Mdot .53821 .63233 Mdot .58411 .15723 Mdot .58411 .60637 Mdot .60243 .14492 Mdot .60243 .61868 Mdot .62205 .17579 Mdot .62205 .58781 Mdot .65213 .19584 Mdot .65213 .56777 Mdot .68995 .21112 Mdot .68995 .55248 Mdot .71411 .24988 Mdot .71411 .51372 Mdot .72315 .33195 Mdot .72315 .43166 Mdot .72515 .29221 Mdot .72515 .47139 Mdot .73676 .3692 Mdot .73676 .3944 Mdot .84602 .21906 Mdot .84602 .54454 Mdot .05772 .3818 Mdot .19296 .3818 Mdot .22181 .30897 Mdot .22181 .45463 Mdot .2225 .3818 Mdot .25403 .26815 Mdot .25403 .49546 Mdot .26548 .22639 Mdot .26548 .53721 Mdot .26787 .3818 Mdot .28291 .28641 Mdot .28291 .47719 Mdot .29012 .214 Mdot .29012 .5496 Mdot .32349 .17613 Mdot .32349 .58747 Mdot .36467 .1538 Mdot .36467 .6098 Mdot .40248 .16868 Mdot .40248 .59492 Mdot .40681 .13919 Mdot .40681 .62442 Mdot .45266 .12058 Mdot .45266 .64302 Mdot .49551 .12145 Mdot .49551 .64216 Mdot .52211 .11924 Mdot .52211 .64436 Mdot .55284 .13289 Mdot .55284 .63072 Mdot .57602 .14979 Mdot .57602 .61381 Mdot .6252 .18799 Mdot .6252 .57561 Mdot .65211 .13184 Mdot .65211 .63176 Mdot .65952 .19614 Mdot .65952 .56746 Mdot .68985 .21465 Mdot .68985 .54895 Mdot .71121 .24783 Mdot .71121 .51577 Mdot .71365 .29031 Mdot .71365 .47329 Mdot .73627 .3818 Mdot .73782 .31715 Mdot .73782 .44645 Mdot .74155 .34536 Mdot .74155 .41825 Mdot .22541 .35801 Mdot .22541 .40559 Mdot .22848 .30142 Mdot .22848 .46218 Mdot .25405 .26202 Mdot .25405 .50158 Mdot .27211 .22619 Mdot .27211 .53741 Mdot .27559 .37075 Mdot .27559 .39285 Mdot .29593 .19397 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Cell["For example, the complex zeros of ", "Text"], Cell[BoxData[{ RowBox[{"f", "=", RowBox[{ SuperscriptBox["x", "2"], "+", SuperscriptBox["x", "5"], "-", SuperscriptBox["x", "6"], "+", SuperscriptBox["x", "7"], "+", SuperscriptBox["x", "8"], "-", SuperscriptBox["x", "9"], "+", SuperscriptBox["x", "11"], "-", SuperscriptBox["x", "12"], "-", SuperscriptBox["x", "15"], "+", SuperscriptBox["x", "16"], "-", SuperscriptBox["x", "18"], "+", SuperscriptBox["x", "19"], "+", SuperscriptBox["x", "21"], "-", SuperscriptBox["x", "24"], "-", SuperscriptBox["x", "25"], "+", SuperscriptBox["x", "26"], "+", SuperscriptBox["x", "27"], "+", SuperscriptBox["x", "28"], "+", SuperscriptBox["x", "29"], "+", SuperscriptBox["x", "30"], "-", SuperscriptBox["x", "32"], "+", SuperscriptBox["x", "33"], "+", SuperscriptBox["x", "34"], "+", SuperscriptBox["x", "36"], "-", SuperscriptBox["x", "37"], "+", SuperscriptBox["x", "38"], "+", SuperscriptBox["x", "40"], "+", SuperscriptBox["x", "41"], "-", 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It is a remarkable fact that the zeros of such polynomials are \ clustered along the unit circle in the complex plane. Here's an interesting \ fact: If all the zeros of a polynomial (with real coefficients) are on the \ unit circle in the complex plane, then the polynomial is ", StyleBox["reciprocal", FontWeight->"Bold"], ". A reciprocal polynomial is one whose coefficients are the same when read \ in reverse order. For example, \n" }], "Text", CellChangeTimes->{{3.420158367863839*^9, 3.420158368730976*^9}, { 3.420159023512279*^9, 3.420159073487267*^9}}], Cell[BoxData[{ RowBox[{"1", "+", RowBox[{"7", " ", "x"}], "+", SuperscriptBox["x", "2"]}], "\[IndentingNewLine]", RowBox[{"1", "+", RowBox[{"3", " ", "x"}], "-", SuperscriptBox["x", "2"], "+", RowBox[{"3", " ", SuperscriptBox["x", "3"]}], "+", SuperscriptBox["x", "4"]}], "\[IndentingNewLine]", RowBox[{"1", "-", "x", "+", SuperscriptBox["x", "2"], "-", SuperscriptBox["x", "3"], "+", SuperscriptBox["x", "4"], "-", SuperscriptBox["x", "5"], "+", SuperscriptBox["x", "6"]}], "\n", RowBox[{"1", "-", RowBox[{"3", "x"}], "-", RowBox[{"3", RowBox[{"x", "^", "2"}]}], "+", RowBox[{"x", "^", "3"}]}], "\[IndentingNewLine]"}], "Input", CellChangeTimes->{{3.420158367863839*^9, 3.420158368730976*^9}, { 3.420159023512279*^9, 3.420159073487267*^9}, {3.4201594645115128`*^9, 3.420159498617898*^9}}], Cell[TextData[{ "are reciprocal polynomials. These have coefficients (1,7,1), (1,3,-1,3,1), \ (1,-1,1,-1,1,-1,1), and (1, 3,-3,1) respectively. The converse is false -- \ the zeros of a reciprocal polynomial may not lie on the unit circle. For \ example, consider ", Cell[BoxData[ RowBox[{"1", "+", RowBox[{"7", " ", "x"}], "+", SuperscriptBox["x", "2"]}]]], ". " }], "Text", CellChangeTimes->{{3.420158367863839*^9, 3.420158368730976*^9}, { 3.420159023512279*^9, 3.4201590705984592`*^9}, {3.420159119062688*^9, 3.420159126353219*^9}, {3.420159490070326*^9, 3.420159526971054*^9}}], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{ RowBox[{"Solve", "[", RowBox[{ RowBox[{ RowBox[{"1", "+", RowBox[{"7", "x"}], "+", RowBox[{"x", "^", "2"}]}], "\[Equal]", "0"}], ",", "x"}], "]"}], "//", "N"}]], "Input", CellChangeTimes->{{3.42015912911903*^9, 3.420159146225636*^9}}], Cell[BoxData[ RowBox[{"{", RowBox[{ RowBox[{"{", RowBox[{"x", "\[Rule]", RowBox[{"-", "6.854101966249685`"}]}], "}"}], ",", RowBox[{"{", RowBox[{"x", "\[Rule]", RowBox[{"-", "0.1458980337503153`"}]}], "}"}]}], "}"}]], "Output", CellChangeTimes->{{3.420159139697014*^9, 3.420159146861368*^9}}] }, Open ]], Cell["\<\ You are to investigate the behavior of random reciprocal polynomials. To \ start, what would the above graph look like if the all the random degree 50 \ polynomials had been reciprocal? Then investigate the following: \ \>", "Text", CellChangeTimes->{{3.420158367863839*^9, 3.420158368730976*^9}, { 3.420159023512279*^9, 3.4201590705984592`*^9}, {3.420159119062688*^9, 3.420159126353219*^9}, {3.420159185849338*^9, 3.420159192192317*^9}, { 3.420159257549294*^9, 3.42015926682983*^9}}], Cell["\<\ How does the clustering of the zeros change as the degree of the polynomials \ increases?\ \>", "Text", CellDingbat->"\[EmptySquare]"], Cell["\<\ How does the clustering change if the coefficients are random REAL numbers \ between -1 and 1? \ \>", "Text", CellDingbat->"\[EmptySquare]"], Cell["\<\ How does the clustering change if the coefficients are choosen randomly from \ {-2,-1,0,1,2} ( or {-10,-9,...,9,10})?\ \>", "Text", CellDingbat->"\[EmptySquare]"], Cell["\<\ How does the clustering change if the coefficients are all non-negative?\ \>", "Text", CellDingbat->"\[EmptySquare]"], Cell[TextData[{ "To do this investigation, you need to write a function ", StyleBox["randompoly ", FontWeight->"Bold"], "that takes as its input the set from which the coefficients can be chosen \ (together with an indication whether the coefficients are integers or real \ values), the highest degree of the polynomials and the number of polynomials. \ Your function needs to make sure that the ploynomials created are reciprocal. \ You should use the the ", StyleBox["Mathematica", FontSlant->"Italic"], " command ", StyleBox["NSolve", FontWeight->"Bold"], StyleBox[" to find the zeros of these high degree polynomials.\n\nYour \ function should check that the arguments are of the correct form and give an \ error message if they are not. There should also be a usage message (like the \ one ", FontVariations->{"CompatibilityType"->0}], StyleBox["Mathematica", FontSlant->"Italic", FontVariations->{"CompatibilityType"->0}], StyleBox[" gives when we use the ? mechanism). Then use your function to \ answer the questions posed above. Make sure that you use a range of degrees \ for each case. 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