Spiritual Boost and Your Dom W/H Hasten

So, I got to thinking, how much exactly does alpha slot effect hasten and the required levels of recharge needed for it to be perma, and by proxy, permadom as well. So I began to crunch numbers just to see. So, I began to run the numbers to see exactly how much global recharge was now needed to keep hasten perma and its effects on domination. For the calculations I went with hasten 3 slotted with recharge IO's at level 50. The states for hasten below assume that its running for a 70% global bonus.

No Bonuses at all except slotting IO's
Hasten
Pre ED - 127.20%
Post ED - 99.08%
Base Recharge - 450s
Current Recharge - 167.24s (without global bonuses)

Domination
Base Recharge - 200
Current Recharge - 117.65s (without global bonuses)

Now, the goal of this experiment will be to get hasten down to 119.99 or lower with a solid percentage of global recharge.

Tier 1
Spiritual Boost -
33% Recharge Bonus, 5.5% Unaffected by ED, 27.5% Affected by ED.
Global Recharge Needed - 97
Hasten Value - 119.77s
Domination Recharge - 74.91s

Tier 2
Spiritual Radial & Core Boost -
33% Recharge Bonus, 11% Unaffected by ED, 22% Effected by ED
Global Recharge Needed - 92
Hasten Value - 119.88s
Domination Recharge - 76.34s

Tier 3
Spiritual Partial Core Revamp, Total Radial Revamp, & Partial Radial Revamp -
33% Recharge Bonus, 16.5% Unaffected by ED, 16.5% Effected by ED
Global Recharge Needed - 87
Hasten Value - 119.98s
Domination Recharge - 77.82s

Spiritual Total core Revamp -
45% Recharge Bonus, 22.5% Unaffected by ED, 22.5% Effected by ED
Global Recharge Needed - 81
Hasten Value - 119.98s
Domination Recharge - 79.68s

Tier 4
Spiritual Radial Paragon -
33% Recharge, 22% Unaffected by ED, 11% Effected by ED
Global Recharge Needed - 83
Hasten Value - 119.77s
Domination Recharge - 79.05s

Spiritual Core Paragon -
45% Recharge, 30% Unaffected by ED, 15% Effected by ED
Global Recharge Needed - 74
Hasten Value - 119.89s
Domination Recharge - 81.97s

Now, again I would like to note that these values are with Hasten active. As for domination it was calculated without the Incarnate boost but it was calculated with hasten. If you were to take hasten out of the equation you would have to make up 70% in global bonuses. If someone wants to check my math then please do as it is late. My hopes was to help those going for the Spiritual Boost path to be able to calculate how much recharge they would actually need for a baseline since we can't double stack hasten without zoning.

So as you can see it still keeps domination perma but for those of you like me who like your blue bar to fill up faster and some oh spit time for when you forget to activate it it may be a little more prudent to add some more global recharge.

Also, if you wish to check the numbers yourself look below:
Note: Here is the formula I used for those who want to know but didn't and for those who did know can ignore this -

Determining Post ED Value - 
95 + (.15 * ((127.2+ED Incarnate Value) - 100))

Determining Recharge Value - 
Base Attribute / ((Post ED Value + NonED Incarnate Value + Hasten) / 100 + 1)

Determining Domination's Value
200 / ((Global Bonus + Hasten) / 100 + 1)

Tools used, Calculator and OpenOffice.org Calc

Was it taken into account that the Alpha slot won't enhance Domination since it only ehances powers that can accept recharge enhancements? At least thats the info I've been working off of with alpha slots.