Select invariants to compare their ballmappers. Input has selectable nodes, which is compared to Output by pressing the [Compare!] button.
Note:
Everything is for knots up to 16 crossings; except HOMFLYPTHomology (3-11 crossings) and KR3 (3-15) crossings.
Everything is normalised with ballmapper ; except for A2 and HOMFLYPTHomology with .
HOMFLYPTHomology was calculated over knots in a different order, so do not expect comparisons to work with it.
Interactive plot: zoom, pan, hover and select!
Size of nodes (barely) indicates how many knots inside.
Hover over nodes to see their indexing and coverage (for comparison ballmapper). Color of nodes indicate percentage of knots selected. Nodes are semi-transparent so their color is not completely accurate when overlapping. To see which knots live inside each node, see [A2, Alexander, B1, HFK2, HFK2T1, HOMFLYPT, HOMFLYPTHomology, Jones, Khovanov, KhovanovT1, KhovanovOdd, KR3].
Toggle lasso selection on the first ballmapper. For your convenience, holding [Ctrl] or [Shift] keys will temporarily switch between pan and lasso mode.