Seeking a plot of the energy history of the Universe

How can we plot the energy density $rho$ as a function of the age $t$ of the universe (or temperature $T$) from the time of radiation domination to the time of cosmological constant domination with intermediate matter domination phase? I know that $$apropto t^{1/2}, t^{2/3}, e^{Lambda t}$$ in the radiation, matter, and CC dominated phases respectively. Therefore, $$rhopropto t^{-2}, {rm constant}$$ for radiation/matter domination and CC domination respectively. In short, I am looking for a continuous curve $rho(t)$ vs $t$. Can we identify the crossover from radiation to matter domination in this curve?