Torque Alignment for Tight 10.88

Tight 10.88

Aligned with their principal torque axes

1.1078

Tight 10.88 center of reaction y-aligned

30.4735

Tight 10.88 center of reaction z-aligned

-31.5813

The three eigenvalues are:

1.10779993397853160
30.47354098272302991
-31.58134091670159194

Coordinates in vect format

Notes about the images and configuration:

The center of reaction is at the origin.
The configuration is aligned relative to the coordinate axes
- The eigenvector corresponding to the eigenvalue with smallest absolute value is aligned with the x-axis (left image).
- The eigenvector corresponding to the eigenvalue with middle absolute value is aligned with the y-axis (middle image).
- The eigenvector corresponding to the eigenvalue with largest absolute value is aligned with the z-axis (right image).
These images are orthographic projections.
The configuration has a squared radius of gyration of 40. This was set for the sake of comparison between configurations and so that the knots can be easily viewed in the software KnotPlot.

This material is based upon work supported by the National Science Foundation under Grant Nos. 1115722, 1418869, and 1720342 for E. Rawdon, by the University of Pittsburgh, Graz University of Technology, Vanderbilt University, Austrian Science Fund (FWF) Project 5503, and National Science Foundation Grant Nos. 1516400 and 1104102 for W. Kusner, by National Science Centre (Poland) under Grant 2015/19/D/ST8/03199 for P. Szymczak, and by National Science Foundation Grant Nos. 1440140, 1439786, and 1607611 for R. Kusner. G. Dietler, R. Kusner, E. Rawdon, and P. Szymczak were supported by the Newton Institute in 2012.

Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.