For those unfamiliar with the system, here's an overview of how 7thSea dice work.
Note: All numbers calculated for 1-4 rolled dice were limited to two explosions, i.e. a max of 30 for one die. All probabilities are therefore precise for <30, but slightly low for >30 (30 itself will be high; its probability should be distributed to numbers greater than itself. This puts an upper limit on the inaccuracy of higher probabilities.) All numbers for 5-9 rolled dice were limited to two explosions (max 40 for one die), but also were limited in that only kept dice were exploded. This means that on a 5k1, if two 10's were rolled, only one was exploded and calculated. This makes all estimates off for rolls >10 on k1's, >21 on k2's, >32 on k3's, and >43 on k4's. In this case, the distribution from, say, 11-20 for the k1's should be skewed towards the higher numbers instead of being even--compare 4k1 (accurate) to 4k1b (inaccurate) for an example. All probabilites less than these values are precise. This was done due to memory limitations (As it is, I couldn't get k5's to work at all).
And so, without further ado, here's the summary of all the data below (also available, with the below data, as a MS Excel spreadsheet).
K1's:
K2's: K3's: K4's: