File:PlotDiscriminantsOfQuarticFields.svg
Summary
| Description | Plot of the number of quartic fields of bounded discriminant up to 107, 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. |
| Date | |
| Source | Own work |
| Author | RobHar |
| Permission (Reusing this file) |
Public Domain |
| SVG development | |
| Source code |
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
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Licensing
 |
I, the copyright holder of this work, release this work into the public domain. This applies worldwide. In some countries this may not be legally possible; if so: I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law. |
