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| View Original: | PlotDiscriminantsOfQuarticFields.svg (600x480) | |||
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| Keywords: PlotDiscriminantsOfQuarticFields.svg Created with Gnuplot Plot of the number of quartic fields of bounded discriminant up to 10<sup>7</sup> and the asymptotic distribution Data from Cohen Diaz y Diaz and Olivier Constructing Complete Tables of Quartic Fields using Kummer Theory Math Comp 2003 Asymptotic from Bhargava The Density of Discriminants of Quartic Rings and Fields Ann Math 2005 Own 2007-11-25 RobHar Public Domain Data file This image was created using gnuplot 4 2 2 with the following command file It was subsequently edited with Inkscape and a text editor to fix display problems wikipedia has set terminal svg enhanced fname Helvetica fsize 20 set output quartic svg Axes set size square make the graph square set logscale loglog plot set xrange 100 10000000 adjust axis range set yrange 10 10000000 set xlabel Bound on Discriminant set ylabel Quartic Number Fields set xlabel 0 0 0 5 adjust positioning of axis label set ylabel -2 1 0 0 tics set format 10 m L adjust format of tic labels set xtics offset 1 0 0 45 nomirror adjust placement of tic labels and nomirror tics set ytics offset 3 0 0 0 nomirror set mxtics 10 set number of minor tics set mytics 10 set grid xtics ytics lt rgb gray lw 1 set grid set style line 1 lt 3 pt 1 ps 0 9 set marker style to blue cross adjust size set style line 2 lt -1 lw 2 set marker style to black thick line plot quarticdata index 0 using 1 2 notitle with points linestyle 1 \ quarticdata index 1 using 1 2 notitle with lines linestyle 2 Number theory SVG diagrams Images with Gnuplot source code | ||||
