When I take the FLRW equation
$$H_{(t)}=H_0\cdot\sqrt{\Omega_R\cdot a_{(t)}^{-4}+\Omega_M\cdot a_{(t)}^{-3}+\Omega_K\cdot a_{(t)}^{-2}+\Omega_{\Lambda}}$$
and calculate the value of the Hubbleparameter with time it goes to Limit Infinity when I go to the Limit of $t\rightarrow 0$.
In reality the Hubbleparameter did of course not start infinitely high. There is said to be a short time of inflation where $H_{(t)}$ had a high, but constant value, which then quickly fell of when the radiation dominated era took over.
Does anyone know which numerical value $H_{(t)}$ had during inflation, and with which value the radiation dominated era began?
The value of $H_{(t)}$ today is $67150 \text{m}/\text{Mpc}/\text{sec} =2.2\cdot 10^{-18} \, \text{sec}^{-1}$. But how high did it start?
My actual progress is plotted here and here which brings me near to the solutions published by the Planck Team, but the inflation phase is still missing.
(Of course I could try to extrapolate this data from the Log-Plot in Link 1, where we see that the scalefactor was somewhere near $10^{-30}$, but there must be a better and exacter reference than counting the Pixels between $10^{-30}$ and $10^{-20}$ to estimate the rough order of magnitude. Also, since this sketch is older and propably drawn from WMAP data instead of Planck 2013 not very quotable)