% 3/19/90
%
% slide experiments
\message{(Don't forget to magnify right!)}
\magnification\magstep1
\global\overfullrule0pt
\def\endpage{\vfill\eject}
\nopagenumbers
\vsize = 4.0 truein
\hsize = 7.5 truein
\hoffset = -0.2 truein
\voffset = 1.0 truein

%\input values.sty
%
% total number found
%
\def\totalfound{311 243}
% total analysed so far
%
\def\totalnumber{310 716}
\def\totalpositive{113 969}\def\totalnegative{196 747}
\def\rationegpos{1.726}

\def\totalodd{155 658}\def\totaleven{155 058}

\def\rankzero{93 337}\def\rankzeropos{31 748}
\def\rankzeroneg{61 589}\def\rankzeropct{30.04} 

\def\ranktwo{61 517}\def\ranktwopos{24 706}
\def\ranktwoneg{36 811}\def\ranktwopct{19.80}

\def\rankfour{804}\def\rankfourpos{377}
\def\rankfourneg{427}\def\rankfourpct{0.26}

\def\rankevenGtZeroPct{20.06}

\def\rankone{143 192}\def\rankonepos{51 871}
\def\rankoneneg{91 321}\def\rankonepct{46.08}

\def\rankthree{11 861}\def\rankthreepos{5 267}
\def\rankthreeneg{6 594}\def\rankthreepct{3.82}

\def\rankfive{5}\def\rankfivepos{0}\def\rankfiveneg{5}\def\rankfivepct{}

\def\averagepositive{1.04}\def\averagenegative{0.94}
\def\averagerank{0.98}
%
% end of numerical definitions
%

\centerline{\bf RANK DISTRIBUTION}
\medskip
\centerline{\bf Elliptic Curves of Prime Conductor below $10^8$}
\vskip 0.3in
$$\vbox{\offinterlineskip
\hrule
%\halign{\vrule#&\strut\quad\bf#\hfil\quad&#\vrule$\,$\vrule&%
\halign{\vrule#&\strut\quad\bf#\hfil&#\vrule$\,$\vrule&%
&\quad\hfil\bf#\hfil\quad\vrule\cr
%height2pt&\omit&&\omit&\omit&\omit&\omit&\omit&\cr
height2pt&\omit&&&&&&&&&\cr
&Rank && 0 & 1 & 2 & 3 & 4 & 5 & Total &\vbox{\hbox{Ave.}\vskip1pt\hbox{Rank}}\cr
\noalign{\hrule}
\noalign{\vskip 2pt}
\noalign{\hrule}
%height2pt&\omit&&\omit&\omit&\omit&\omit&\omit&\cr
height2pt&\omit&&&&&&&&&\cr
&$\Delta>0$&&\rankzeropos&\rankonepos&\ranktwopos&\rankthreepos%
 &\rankfourpos&\rankfivepos&\totalpositive&\averagepositive\cr
&$\Delta<0$&&\rankzeroneg&\rankoneneg&\ranktwoneg&\rankthreeneg%
 &\rankfourneg&\rankfiveneg&\totalnegative&\averagenegative\cr
height2pt&\omit&&&&&&&&&\cr
%height2pt&\omit&&\omit&\omit&\omit&\omit&\omit&\cr
\noalign{\hrule}
%height2pt&\omit&&\omit&\omit&\omit&\omit&\omit&\cr
height2pt&\omit&&&&&&&&&\cr
&Total&&\rankzero&\rankone&\ranktwo&\rankthree%
 &\rankfour&\rankfive&\totalnumber&\averagerank\cr
%&Percents&&\rankzeropct&\rankonepct&\ranktwopct&\rankthreepct%
&\%&&\rankzeropct&\rankonepct&\ranktwopct&\rankthreepct%
 &\rankfourpct& \rankfivepct&&\cr
%height2pt&\omit&&\omit&\omit&\omit&\omit&\omit&\cr}
height2pt&\omit&&&&&&&&&\cr}
\hrule}
$$
\vskip 0.5in
\centerline{\bf The ratio of negative to positive discriminants is 1.726.}
\message{(Don't forget to magnify right!)}
\bye