Colding-Minicozzi entropies of some self-shrinkers

In this note, we use the shooting method to numerically estimate the Colding-Minicozzi entropies of some self-shrinkers and find that Colding-Minicozzi entropies of the <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="n"> <mml:semantics> <mml:mi>n</mml:mi> <mml:annotation encoding="application/x-tex">n</mml:annotation> </mml:semantics> </mml:math> </inline-formula> -dimensional Angenent doughnut decrease with respect to the dimension <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="n"> <mml:semantics> <mml:mi>n</mml:mi> <mml:annotation encoding="application/x-tex">n</mml:annotation> </mml:semantics> </mml:math> </inline-formula> ( <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="2 less-than-or-equal-to n less-than-or-equal-to 5 times 10 Superscript 7"> <mml:semantics> <mml:mrow> <mml:mn>2</mml:mn> <mml:mo> ≤ </mml:mo> <mml:mi>n</mml:mi> <mml:mo> ≤ </mml:mo> <mml:mn>5</mml:mn> <mml:mo> × </mml:mo> <mml:msup> <mml:mn>10</mml:mn> <mml:mn>7</mml:mn> </mml:msup> </mml:mrow> <mml:annotation encoding="application/x-tex">2\leq n\leq 5\times 10^7</mml:annotation> </mml:semantics> </mml:math> </inline-formula> ), which partially answers the questions posed by Berchenko-Kogan [Exp. Math. 30 (2021), pp. 587–594].