% ---------------------------------------------------------------------------
%  Seven grids of the same size, one for each value of Omega(N), the number of
%  prime factors counted with multiplicity.  Each grid holds the 300 smallest
%  N at its level, 50 to a row, so the seven colour mixes are directly
%  comparable.  What differs is how far each level has to reach to find 300
%  cases: the right-hand column gives the largest N in each grid.  Set LEVELS
%  in make_levels.py to add or drop levels, PER / NCOL to reshape the grids.
%
%  Footprint: about 138 x 90 mm, which fits inside a text block of 146.5 mm
%  (A4 with 1.25in side margins; 152.4 mm on letter) and takes about 40% of
%  the text height.
%
%  Self-contained: needs nothing but \usepackage{tikz}.
% ---------------------------------------------------------------------------
\begin{tikzpicture}
\definecolor{prev}{HTML}{AFD59B}       % previously known
\definecolor{new}{HTML}{27693F}        % new
\definecolor{false}{HTML}{E02B20}      % false
\definecolor{incon}{HTML}{FFD920}      % inconclusive
\definecolor{unk}{HTML}{DCD8D0}        % not known
\definecolor{ink}{HTML}{2C2C2C}
\tikzset{
  cL/.style ={fill=prev},
  cN/.style ={fill=new},
  cT/.style ={fill=false},
  cI/.style ={fill=incon},
  cK/.style ={fill=unk},
  lvl/.style  ={font=\fontfamily{phv}\fontsize{4.8}{5.4}\selectfont,
                text=ink, anchor=east},
  reach/.style={font=\fontfamily{phv}\fontsize{4.2}{4.8}\selectfont,
                text=ink!55, anchor=west},
  head/.style ={font=\fontfamily{phv}\fontsize{4.0}{4.6}\selectfont,
                text=ink!45, anchor=west},
  lname/.style={font=\fontfamily{phv}\fontsize{4.9}{5.6}\selectfont, text=ink,
                anchor=west},
  lnum/.style ={font=\fontfamily{phv}\fontsize{4.9}{5.6}\selectfont, text=ink,
                anchor=east},
  lexp/.style ={font=\fontfamily{phv}\fontsize{4.3}{5.0}\selectfont,
                text=ink!58, anchor=west},
  note/.style ={font=\fontfamily{phv}\fontsize{4.4}{5.4}\selectfont,
                text=ink!60, anchor=south west, text width=125.82mm,
                align=left, inner sep=0pt},
}
\def\dx{1.68}\def\cw{1.5}
% one row: \lvlrow{<x of first square's left edge>}{<y of its bottom edge>}{...}
\newcommand{\lvlrow}[3]{%
  \foreach \cl [count=\i from 0] in {#3}{%
    \pgfmathsetmacro{\cx}{#1+\i*\dx}%
    \path[\cl] (\cx mm, #2mm) rectangle +(\cw mm, \cw mm);%
  }%
}

% \node[head] at (127.82mm, 1.20mm) {max \textit{N}};
% \node[head, anchor=east] at (-1.6mm, 1.2mm) {$\Omega$};

% ------------------------------ Omega = 1 --------------------------
\lvlrow{0.09}{-1.50}{cT,cT,cT,cT,cT,cT,cT,cT,cT,cT,cT,cT,cT,cL,cT,cL,cT,cL,cL,cT,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL}
\lvlrow{0.09}{-3.18}{cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL}
\lvlrow{0.09}{-4.86}{cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL}
\lvlrow{0.09}{-6.54}{cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL}
\node[lvl] at (-2.2mm, -3.27mm) {$\Omega=1$};
% \node[reach] at (127.82mm, -3.27mm) {1\,987};

% ------------------------------ Omega = 2 --------------------------
\lvlrow{0.09}{-9.52}{cT,cT,cT,cT,cT,cT,cT,cT,cT,cT,cT,cK,cT,cK,cT,cT,cK,cI,cI,cN,cN,cI,cI,cI,cK,cN,cN,cN,cL,cI,cN,cN,cI,cI,cL,cN,cN,cI,cI,cL,cL,cN,cL,cN,cL,cN,cK,cN,cN,cL,cN,cL,cL,cN,cL,cL,cK,cL,cL,cK,cK,cL,cL,cL,cK,cK,cL,cK,cK,cL,cL,cK,cL,cL,cK}
\lvlrow{0.09}{-11.20}{cL,cK,cL,cK,cL,cK,cL,cK,cL,cL,cL,cL,cL,cK,cL,cL,cK,cL,cK,cL,cL,cL,cL,cL,cL,cK,cL,cK,cL,cL,cK,cL,cL,cL,cK,cL,cK,cL,cL,cL,cL,cL,cK,cL,cL,cL,cK,cL,cL,cL,cL,cK,cK,cL,cK,cL,cL,cL,cL,cK,cL,cL,cL,cK,cL,cL,cL,cL,cL,cL,cL,cL,cK,cL,cL}
\lvlrow{0.09}{-12.88}{cL,cK,cK,cL,cL,cL,cL,cL,cL,cK,cL,cL,cK,cL,cK,cL,cL,cL,cL,cL,cL,cK,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cK,cL,cL,cK,cL,cL,cL,cL,cK,cL,cL,cL,cK,cL,cL,cK,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cK,cL,cL,cK,cL,cL,cK,cL,cL,cL,cL,cL,cL,cL,cL,cL}
\lvlrow{0.09}{-14.56}{cL,cL,cL,cL,cL,cL,cK,cL,cL,cK,cK,cL,cL,cL,cL,cL,cK,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cK,cL,cL,cL,cL,cL,cL,cL,cL,cL,cK,cL,cL,cK,cL,cL,cL,cL,cL,cL,cL,cK,cL,cL,cL,cL,cK,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cL,cK}
\node[lvl] at (-2.2mm, -11.29mm) {$\Omega=2$};
% \node[reach] at (127.82mm, -11.29mm) {1\,003};

% ------------------------------ Omega = 3 --------------------------
\lvlrow{0.09}{-17.54}{cT,cT,cT,cT,cT,cT,cT,cI,cK,cK,cT,cI,cI,cI,cI,cI,cI,cI,cI,cI,cI,cI,cK,cI,cI,cN,cN,cI,cI,cL,cK,cK,cN,cK,cI,cN,cN,cK,cN,cN,cL,cN,cI,cN,cN,cK,cK,cK,cK,cL,cN,cN,cN,cK,cK,cL,cL,cK,cN,cN,cL,cK,cN,cL,cN,cK,cN,cN,cK,cN,cN,cN,cL,cN,cL}
\lvlrow{0.09}{-19.22}{cL,cN,cK,cL,cN,cL,cL,cN,cK,cL,cK,cL,cL,cN,cK,cK,cN,cL,cL,cN,cL,cL,cN,cN,cL,cK,cN,cN,cK,cL,cN,cL,cK,cN,cL,cL,cK,cL,cN,cN,cK,cL,cK,cL,cN,cK,cL,cK,cL,cL,cK,cL,cL,cK,cL,cN,cL,cL,cN,cL,cK,cN,cN,cL,cL,cK,cN,cL,cK,cL,cL,cL,cL,cL,cK}
\lvlrow{0.09}{-20.90}{cL,cN,cL,cN,cL,cN,cN,cK,cL,cL,cK,cN,cL,cL,cL,cK,cK,cN,cL,cL,cL,cK,cL,cN,cK,cL,cN,cL,cL,cL,cN,cL,cN,cL,cL,cN,cK,cL,cL,cL,cN,cN,cK,cL,cL,cL,cL,cL,cL,cN,cK,cK,cL,cK,cL,cK,cL,cL,cL,cL,cL,cN,cL,cL,cK,cK,cL,cL,cL,cK,cN,cL,cL,cL,cL}
\lvlrow{0.09}{-22.58}{cL,cL,cK,cL,cN,cL,cN,cL,cL,cL,cL,cK,cK,cL,cL,cN,cL,cL,cL,cN,cN,cK,cN,cL,cL,cL,cL,cN,cL,cL,cN,cK,cL,cL,cK,cL,cK,cL,cK,cL,cK,cN,cL,cL,cL,cL,cL,cL,cN,cL,cL,cL,cN,cN,cL,cL,cL,cL,cL,cN,cL,cK,cL,cL,cL,cL,cL,cL,cL,cK,cK,cK,cL,cL,cL}
\node[lvl] at (-2.2mm, -19.31mm) {$\Omega=3$};
% \node[reach] at (127.82mm, -19.31mm) {1\,183};

% ------------------------------ Omega = 4 --------------------------
\lvlrow{0.09}{-25.56}{cT,cT,cT,cI,cI,cI,cI,cI,cI,cN,cI,cI,cI,cK,cK,cN,cK,cK,cK,cK,cK,cK,cK,cK,cK,cK,cK,cK,cK,cN,cN,cK,cK,cL,cK,cK,cN,cK,cK,cK,cN,cK,cN,cK,cN,cN,cL,cN,cK,cK,cN,cN,cL,cK,cK,cK,cK,cL,cN,cN,cK,cN,cN,cK,cK,cL,cL,cK,cN,cK,cN,cN,cL,cN,cK}
\lvlrow{0.09}{-27.24}{cN,cL,cN,cK,cN,cN,cK,cN,cN,cN,cL,cK,cN,cK,cL,cL,cL,cN,cK,cL,cN,cL,cL,cN,cN,cK,cL,cK,cL,cL,cN,cN,cK,cK,cN,cN,cL,cL,cK,cN,cL,cL,cN,cN,cN,cL,cK,cK,cN,cN,cN,cK,cN,cL,cN,cL,cK,cN,cL,cL,cL,cK,cL,cN,cN,cK,cL,cK,cL,cN,cK,cK,cL,cN,cK}
\lvlrow{0.09}{-28.92}{cL,cL,cL,cN,cK,cL,cL,cK,cL,cK,cN,cL,cL,cL,cN,cN,cL,cK,cN,cN,cN,cL,cL,cL,cK,cN,cL,cK,cN,cL,cL,cL,cL,cL,cN,cL,cK,cN,cL,cN,cL,cN,cN,cN,cN,cK,cL,cN,cL,cK,cN,cL,cN,cL,cL,cK,cK,cN,cL,cL,cL,cK,cN,cL,cL,cN,cN,cK,cL,cN,cN,cL,cL,cL,cL}
\lvlrow{0.09}{-30.60}{cN,cN,cL,cN,cL,cL,cN,cK,cL,cL,cL,cL,cN,cN,cK,cL,cL,cL,cL,cL,cK,cL,cN,cK,cN,cL,cK,cL,cL,cK,cL,cN,cK,cL,cK,cL,cL,cL,cL,cL,cN,cN,cL,cL,cK,cK,cL,cL,cN,cL,cK,cN,cL,cL,cL,cL,cL,cL,cK,cL,cL,cN,cK,cL,cN,cL,cN,cL,cN,cL,cL,cN,cL,cN,cK}
\node[lvl] at (-2.2mm, -27.33mm) {$\Omega=4$};
% \node[reach] at (127.82mm, -27.33mm) {1\,917};

% ------------------------------ Omega = 5 --------------------------
\lvlrow{0.09}{-33.58}{cT,cI,cI,cI,cI,cN,cK,cK,cK,cN,cK,cK,cK,cL,cK,cN,cN,cK,cK,cK,cK,cK,cK,cK,cK,cK,cN,cK,cK,cN,cK,cN,cN,cK,cK,cL,cK,cK,cK,cN,cK,cK,cK,cN,cK,cN,cK,cN,cN,cN,cL,cN,cK,cK,cN,cN,cL,cK,cK,cK,cK,cL,cN,cN,cK,cK,cN,cN,cK,cN,cK,cL,cL,cK,cN}
\lvlrow{0.09}{-35.26}{cK,cN,cN,cL,cN,cK,cK,cN,cL,cN,cK,cN,cL,cN,cK,cN,cN,cN,cL,cK,cN,cK,cL,cL,cL,cN,cK,cN,cL,cN,cL,cL,cK,cN,cN,cK,cL,cK,cL,cL,cN,cN,cK,cN,cN,cN,cN,cN,cL,cL,cN,cK,cN,cL,cL,cN,cN,cN,cL,cK,cN,cN,cN,cN,cK,cN,cL,cN,cL,cK,cN,cL,cL,cL,cN}
\lvlrow{0.09}{-36.94}{cK,cL,cN,cN,cK,cL,cK,cL,cK,cL,cN,cK,cK,cL,cN,cN,cL,cL,cL,cN,cK,cN,cL,cL,cK,cL,cK,cN,cL,cL,cL,cN,cN,cN,cL,cK,cN,cN,cN,cN,cL,cL,cL,cK,cK,cN,cL,cK,cN,cL,cL,cL,cL,cL,cN,cL,cK,cN,cN,cL,cK,cN,cN,cL,cN,cN,cN,cN,cK,cN,cL,cN,cL,cK,cN}
\lvlrow{0.09}{-38.62}{cL,cN,cL,cL,cL,cK,cK,cN,cL,cL,cL,cN,cN,cL,cL,cN,cN,cK,cL,cN,cN,cL,cL,cL,cL,cN,cN,cL,cK,cN,cL,cL,cN,cN,cK,cL,cL,cL,cL,cL,cN,cN,cN,cL,cK,cL,cL,cL,cL,cL,cK,cL,cK,cN,cK,cN,cL,cN,cL,cL,cL,cK,cL,cN,cN,cK,cL,cK,cL,cL,cL,cL,cL,cN,cN}
\node[lvl] at (-2.2mm, -35.35mm) {$\Omega=5$};
% \node[reach] at (127.82mm, -35.35mm) {3\,450};

% ------------------------------ Omega = 6 --------------------------
\lvlrow{0.09}{-41.60}{cL,cI,cI,cK,cK,cN,cK,cK,cN,cN,cK,cK,cK,cL,cK,cN,cN,cK,cN,cK,cK,cK,cL,cK,cK,cN,cN,cN,cK,cK,cN,cK,cN,cN,cK,cK,cL,cK,cK,cK,cN,cK,cK,cL,cK,cN,cK,cN,cN,cN,cN,cN,cL,cN,cK,cK,cN,cN,cL,cK,cK,cK,cK,cL,cL,cN,cN,cK,cK,cN,cN,cK,cN,cN,cL}
\lvlrow{0.09}{-43.28}{cL,cK,cN,cK,cN,cN,cN,cL,cN,cK,cK,cN,cL,cN,cN,cN,cL,cN,cK,cN,cN,cN,cL,cK,cN,cK,cL,cL,cL,cN,cK,cN,cL,cN,cL,cL,cL,cK,cN,cN,cK,cN,cL,cK,cL,cL,cN,cN,cK,cN,cN,cN,cN,cN,cL,cL,cN,cK,cL,cN,cL,cL,cN,cN,cN,cL,cK,cN,cN,cL,cN,cN,cK,cN,cL}
\lvlrow{0.09}{-44.96}{cN,cL,cN,cN,cL,cL,cL,cN,cK,cL,cN,cN,cK,cL,cK,cL,cK,cL,cN,cK,cK,cN,cL,cN,cN,cL,cL,cL,cL,cN,cN,cN,cL,cL,cK,cL,cK,cN,cL,cL,cL,cN,cN,cN,cL,cN,cN,cN,cN,cN,cL,cN,cL,cL,cL,cN,cK,cN,cN,cL,cK,cN,cL,cL,cL,cL,cL,cN,cL,cK,cN,cN,cL,cK,cN}
\lvlrow{0.09}{-46.64}{cN,cL,cN,cN,cN,cN,cK,cN,cL,cN,cL,cK,cN,cL,cN,cL,cL,cL,cN,cN,cK,cN,cL,cL,cL,cN,cN,cL,cL,cN,cL,cL,cN,cK,cL,cN,cN,cL,cL,cL,cL,cN,cN,cL,cK,cN,cL,cL,cN,cN,cN,cL,cL,cL,cL,cL,cN,cN,cN,cN,cL,cK,cL,cL,cL,cL,cL,cK,cL,cK,cN,cK,cN,cL,cN}
\node[lvl] at (-2.2mm, -43.37mm) {$\Omega=6$};
% \node[reach] at (127.82mm, -43.37mm) {6\,512};

% ------------------------------ Omega = 7 --------------------------
\lvlrow{0.09}{-49.62}{cL,cL,cK,cL,cK,cL,cK,cK,cN,cL,cK,cK,cL,cL,cN,cN,cN,cL,cN,cK,cL,cK,cL,cL,cK,cN,cN,cN,cK,cN,cN,cK,cN,cL,cK,cL,cL,cK,cL,cK,cK,cN,cL,cN,cL,cK,cN,cK,cL,cN,cN,cN,cN,cL,cN,cN,cK,cN,cN,cL,cL,cK,cK,cK,cL,cL,cN,cN,cK,cL,cK,cN,cN,cL,cN}
\lvlrow{0.09}{-51.30}{cN,cL,cL,cN,cN,cN,cN,cN,cN,cL,cN,cK,cK,cN,cL,cN,cN,cN,cL,cN,cL,cN,cN,cN,cL,cK,cN,cK,cL,cL,cL,cL,cN,cK,cN,cL,cN,cL,cL,cL,cK,cN,cN,cK,cN,cL,cN,cL,cL,cN,cN,cK,cN,cN,cL,cN,cN,cN,cL,cL,cN,cK,cL,cN,cL,cL,cN,cN,cN,cL,cN,cN,cN,cL,cN}
\lvlrow{0.09}{-52.98}{cN,cK,cN,cL,cN,cL,cN,cN,cL,cL,cL,cN,cK,cL,cN,cN,cK,cL,cK,cL,cK,cL,cN,cK,cK,cN,cL,cN,cL,cN,cL,cL,cL,cL,cN,cN,cN,cL,cL,cK,cL,cL,cK,cN,cL,cL,cL,cN,cN,cN,cL,cN,cN,cN,cN,cN,cL,cN,cL,cL,cL,cN,cK,cN,cL,cN,cL,cK,cN,cL,cL,cL,cL,cL,cN}
\lvlrow{0.09}{-54.66}{cL,cK,cN,cN,cL,cK,cN,cN,cL,cL,cN,cN,cN,cN,cK,cN,cL,cN,cL,cK,cN,cL,cN,cL,cL,cL,cN,cN,cK,cN,cL,cL,cL,cN,cN,cL,cL,cN,cL,cL,cN,cK,cL,cN,cN,cL,cL,cL,cL,cN,cN,cL,cK,cN,cL,cL,cL,cN,cN,cN,cL,cL,cL,cL,cL,cL,cN,cN,cN,cN,cL,cK,cL,cL,cL}
\node[lvl] at (-2.2mm, -51.39mm) {$\Omega=7$};
% \node[reach] at (127.82mm, -51.39mm) {12\,640};


% ------------------------------- the legend ------------------------------
\path[cL] (0mm, -59.84mm) rectangle +(2.8mm, -2.8mm);
\node[lname] at (4.40mm, -61.24mm) {previously known};
\node[lexp]  at (26mm, -61.24mm) {primes above 71, four smaller primes, 16 prime powers, and all their multiples};
\node[lnum]  at (125.82mm, -61.24mm) {1055};
\path[cN] (0mm, -64.04mm) rectangle +(2.8mm, -2.8mm);
\node[lname] at (4.40mm, -65.44mm) {new};
\node[lexp]  at (26mm, -65.44mm) {20 cases and their multiples, where nothing above covers them already};
\node[lnum]  at (125.82mm, -65.44mm) {548};
\path[cT] (0mm, -68.24mm) rectangle +(2.8mm, -2.8mm);
\node[lname] at (4.40mm, -69.64mm) {false};
\node[lexp]  at (26mm, -69.64mm) {the listed values, none above 71; not inherited by multiples};
\node[lnum]  at (125.82mm, -69.64mm) {42};
\path[cI] (0mm, -72.44mm) rectangle +(2.8mm, -2.8mm);
\node[lname] at (4.40mm, -73.84mm) {inconclusive};
\node[lexp]  at (26mm, -73.84mm) {cases the method leaves open, all below 176};
\node[lnum]  at (125.82mm, -73.84mm) {43};
\path[cK] (0mm, -76.64mm) rectangle +(2.8mm, -2.8mm);
\node[lname] at (4.40mm, -78.04mm) {not known};
\node[lexp]  at (26mm, -78.04mm) {everything else};
\node[lnum]  at (125.82mm, -78.04mm) {412};
\end{tikzpicture}