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We construct the non-canonical kinetic term of a k-essence field directlyfrom the effective equation of state function $w_k(z)$, which describes theproperties of the dark energy. Adopting the usual parametrizations of equationof state we numerically reproduce the shape of the non-canonical kinetic termand discuss some features of the constructed form of k-essence.Comment: 8 pages, 1 figure; accepted by Mod. Phys. Lett. A; minor changes to  reference

PARAMETRIZATION OF k-ESSENCE AND ITS KINETIC TERM