 # Planar Complex

### by Joseph DeVincentis

As suggested by the flavor text, each of the numbers is a product of Gaussian integers representing the different letters. A careful bit of complex arithmetic can solve for each letter in turn:

```E = ERA*THE/EARTH = (2+1i)
I = ITS*ERA/STARE = (-5)
B = BRINK*LIMIT*WHOA*E/(MILK*NOW*EARTH*I*I) = (2i)
A = BLITZ*NAMES*TO*I*ERA/(LIMIT*ZONE*STARE*B) = (3-2i)
O = WHOA*STAY*ERA/(WHY*STARE*A*A) = (-3+6i)
T = TO/O = (5+2i)
R = ERA/(E*A) = (2+1i)
S = STARE/(ERA*T) = (-4-1i)
Y = STAY/(S*T*A) = (-2+3i)
H = EARTH/(ERA*T) = (-3+1i)
X = AXE/(A*E) = (6+0i)
W = WHY/(H*Y) = (1-5i)
N = NOW/(O*W) = (5-3i)
M = NAMES/(N*A*E*S) = (1-1i)
L = LIMIT/(I*M*I*T) = -3j
K = MILK/(M*I*L) = (-1-2i)
F = FLARE/(ERA*L) = (5+5i)
P = PLATE/(L*A*T*E) = (2-4i)
V = LEVER/(L*E*E*R) = 5j
Z = ZONE/(O*N*E) = (-4-4i)
J = JAZZY/(A*Z*Z*Y) = (4+2i)
C = CLAMP/(L*A*M*P) = (-4+4i)
D = CHARD/(C*H*A*R) = (2+4i)
U = DOUBT/(D*O*B*T) = (-1+0i)
G = GOURD/(O*U*R*D) = (-2-3i)
Q = QUARK/(U*A*R*K) = (2+5i)
```

Plotting the positions of the letter values in the complex plane yields:

```       O  ^
V Q  F
C     D
Y
B   JT
H    E
<-   I   U    R X  ->
S    M
K   A
G L    N
Z     P
|W
v
```

The answer CYBER HUMAN is spelled out on the 2 prominent diagonal lines.