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#140444 ·published 2006-08-20 13:28 UTC
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Current Routine Starts Here

The big Gyre deals:
Gyre: 25d12
Admix: 50d12
Enervate: 75d12
Empower: 75d12+37d12
Fiery: 75d12+37d12+112
Max: 900+37d12+112 = 1012+37d12
Total: 1049 - 1456

Setup: Similar enough that you can figure it out
Round 1: Same
Rounds 2-9800: 4 BOB castings
Round 9801 before actions: The psion (not fused) has previously manifested Affinity Field and shared it with his psicrystal. He now manifests extended overchanneled Fate Link between himself and his psicrystal. Affinity Field does its thing, and everyone is happy.
Shift into Jovoc, Blast for 1049 - 1456 damage initial.
Round 9801-14400: 4 BotM castings

Total:
u=3
r=1
n=7600 * 5^(9799*16)=1.563*10^109591
a=0
m=1012+37d12
b=4600*16=73600

The system of equations is:
S(i)=B(i)+(n-1)S(i-u)+M(i-u)
B(i)=nS(i-u)+M(i-u)+i
M(i)=S(i)+nS(i-u)+2B(i)
(initial conditions omitted)
Solving these by diagonalization yields (very roughly) S(i)=(2n)^(i/u)
D(i)=nS(i)+M(i)+B(i)
D(i) is very roughly (2n)^(i/u)
T(0)=D(m)
T(i)=D(T(i-1)) (i>0)

So we have:
Total damage > (2.5*10^36530)^^73600, using Knuth's up-arrow notation