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a c = sqrt(3) ∧ (a^2 + b^2 - c^2)/(2 a b) = sqrt(3)/2 ∧ a = sqrt(3) b
a = -sqrt(3), b = -1, c = -1
a = sqrt(3), b = 1, c = 1
{a = -i sqrt(3), b = -i, c = i}
{a = i sqrt(3), b = i, c = -i}
a = -sqrt(3), b = -1, c = -1
a = sqrt(3), b = 1, c = 1
{a = -i sqrt(3), b = -i, c = i}
{a = i sqrt(3), b = i, c = -i}
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