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How many complex numbers ϕ=[a+ib:a,b∈R] \phi = \left[ a + ib : a , b \in \mathbb{R} \right] ϕ=[a+ib:a,b∈R] satisfy the following condition:
ϕ4=(1+ϕ)4 \phi^4 = (1+\phi)^4 ϕ4=(1+ϕ)4
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