  In 2001, \"Ostlund formulated the question: are Reidemeister moves of types 1
and 3 sufficient to describe a homotopy from any generic immersion of a circle
in a two-dimensional plane to an embedding of the circle? The positive answer
to this question was treated as a conjecture (\"Ostlund conjecture). In 2014,
Hagge and Yazinski disproved the conjecture by showing the first counterexample
with a minimal crossing number of 16. This example is naturally extended to
counterexamples with given even minimal crossing numbers more than 14. This
paper obtains the first counterexample with a minimal crossing number of 15.
This example is naturally extended to counterexamples with given odd minimal
crossing numbers more than 13.
