Abstract
The colored [Formula: see text] Jones polynomials [Formula: see text] are given by a link and an [Formula: see text]-irreducible representation of [Formula: see text]. In general, it is hard to calculate [Formula: see text] for an oriented link [Formula: see text]. However, we calculate the one-row-colored [Formula: see text] Jones polynomials [Formula: see text] for three-parameter families of oriented pretzel links [Formula: see text] by using Kuperberg’s linear skein theory by setting [Formula: see text]. Furthermore, we show the existence of the tails of [Formula: see text] for the alternating pretzel knots [Formula: see text].
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