Select invariant for output ballmapper.
Note:
The ballmappers use the same main ballmapper page . Everything is for knots up to 16 crossings; except HOMFLYPTHomology (3-11 crossings) and KR3 (3-15) crossings. Everything is normalised with ballmapper HOMFLYPTHomology was calculated over knots in a different order, so do not expect comparisons or highlighting to be correct. 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-a , Alexander-a , B1-a , BV-a , HFK2-a , HFK2T1-a , HOMFLYPT-a , Jones-a , Khovanov-a , KhovanovT1-a , KhovanovOdd-a , KR3-3-15-a ]. Compare Invariants
Select invariant for comparison ballmapper. Select the nodes, and press the [Compare!] button to see on the Output ballmapper.
Colours
Boolean invariants
chiral
Warning! "Chiral" here means the pseudo-chirality according to non-palindromicity of B1 and Jones invariants, so there may be some false negatives (chiral knots shown as achiral).Scalar invariants
hypvol det det-primedivisors sig sig-mod4 3genus Arf s-inv s-inv-abs