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Input data and context
% 4-9
r1.r2.r3.y2.y1.y0.y2.y1.y0.y2.y1.y0.y2.y1.y0.y2.y1.y0.y2.y1.y0.y2.y1.y0.y2.y1.y0.y2.y1.y0.u3.u2
,1
Bar-Natan multicurve \(\mathrm{\widetilde{BN}}(T)\)
options -c2
(diagram)
(metadata)
% file 'examples/torus-tangles/4-9/cxBNr-c2', generated by kht++ v0.1-56-g13efd45 on Sun Jul 31 10:06:12 2022 GMT
1) h^10 q^39 δ^19/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
2) h^ 6 q^33 δ^21/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
3) h^ 0 q^25 δ^25/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯<—⬯~>⬮—>⬮~>⬮—>⬮~>⬯<—⬯~>⬮—>⬮~>⬮—>⬮~>⬯<—⬯~>⬮—>⬮~>⬮—>⬮~>⬯<—⬯~>⬮—>⬮<~⬮<—⬮<~⬯<—⬯~>⬮—>⬮<~⬮<—⬮<~⬯<—⬯~>⬮
options -c3
(diagram)
(metadata)
% file 'examples/torus-tangles/4-9/cxBNr-c3', generated by kht++ v0.1-56-g13efd45 on Sun Jul 31 10:06:12 2022 GMT
1) h^14 q^45 δ^17/2 ⬯~~(-S)~>⬮—>⬮<~⬯<—
2) h^16 q^49 δ^17/2 ⬯~~(-S)~>⬮—>⬮<~⬯<—
3) h^12 q^43 δ^19/2 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<—
4) h^ 8 q^37 δ^21/2 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<—
5) h^ 0 q^25 δ^25/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯<—⬯~>⬮—>⬮~>⬯<—⬯~>⬮—>⬮~>⬮—>⬮~>⬯<—⬯~>⬮—>⬮~>⬯<—⬯~>⬮
options -c5
(diagram)
(metadata)
% file 'examples/torus-tangles/4-9/cxBNr-c5', generated by kht++ v0.1-56-g13efd45 on Sun Jul 31 10:06:12 2022 GMT
1) h^14 q^45 δ^17/2 ⬯~~3.S~>⬮—>⬮<~⬯<—
2) h^16 q^49 δ^17/2 ⬯~~3.S~>⬮—>⬮<~⬯<—
3) h^12 q^43 δ^19/2 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<—
4) h^ 8 q^37 δ^21/2 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<—
5) h^ 0 q^25 δ^25/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯<—⬯~>⬮—>⬮~>⬯<—⬯~>⬮—>⬮~>⬮—>⬮~>⬯<—⬯~>⬮—>⬮~>⬯<—⬯~>⬮
options -c7
(diagram)
(metadata)
% file 'examples/torus-tangles/4-9/cxBNr-c7', generated by kht++ v0.1-56-g13efd45 on Sun Jul 31 10:06:12 2022 GMT
1) h^14 q^45 δ^17/2 ⬯~~4.S~>⬮—>⬮<~⬯<—
2) h^16 q^49 δ^17/2 ⬯~~4.S~>⬮—>⬮<~⬯<—
3) h^12 q^43 δ^19/2 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<—
4) h^ 8 q^37 δ^21/2 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<—
5) h^ 0 q^25 δ^25/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯<—⬯~>⬮—>⬮~>⬯<—⬯~>⬮—>⬮~>⬮—>⬮~>⬯<—⬯~>⬮—>⬮~>⬯<—⬯~>⬮
options -c11
(diagram)
(metadata)
% file 'examples/torus-tangles/4-9/cxBNr-c11', generated by kht++ v0.1-56-g13efd45 on Sun Jul 31 10:06:12 2022 GMT
1) h^14 q^45 δ^17/2 ⬯~~6.S~>⬮—>⬮<~⬯<—
2) h^16 q^49 δ^17/2 ⬯~~6.S~>⬮—>⬮<~⬯<—
3) h^12 q^43 δ^19/2 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<—
4) h^ 8 q^37 δ^21/2 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<—
5) h^ 0 q^25 δ^25/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯<—⬯~>⬮—>⬮~>⬯<—⬯~>⬮—>⬮~>⬮—>⬮~>⬯<—⬯~>⬮—>⬮~>⬯<—⬯~>⬮
Khovanov multicurve \(\mathrm{\widetilde{Kh}}(T)\)
options -c2
(diagram)
(metadata)
% file 'examples/torus-tangles/4-9/cxKhr-c2', generated by kht++ v0.1-56-g13efd45 on Sun Jul 31 10:06:12 2022 GMT
1) h^ 9 q^38 δ^10 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^43 δ|^19/2
2) h^10 q^40 δ^10 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^45 δ|^19/2
3) h^11 q^42 δ^10 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^47 δ|^19/2
4) h^ 5 q^32 δ^11 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^37 δ|^21/2
5) h^ 6 q^34 δ^11 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^39 δ|^21/2
6) h^ 7 q^36 δ^11 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^41 δ|^21/2
7) h^ 3 q^30 δ^12 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^35 δ|^23/2
8) h^-1 q^24 δ^13 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^29 δ|^25/2
9) h^11 q^40 δ^ 9 ⬯~~S~>⬮—>⬮<~⬯—>⬯~>⬮—>⬮~>⬮<—⬮<~⬯—>⬯~>⬮—>⬮~>⬮<—⬮<~⬯<—⬯~>⬮—>⬮<~⬮<—⬮<~⬯<—⬯~>⬮—>⬮<~⬮<—⬮<~⬯<— r(5/9) q^93/2 δ|^17/2
options -c3
(diagram)
(metadata)
% file 'examples/torus-tangles/4-9/cxKhr-c3', generated by kht++ v0.1-56-g13efd45 on Sun Jul 31 10:06:12 2022 GMT
1) h^11 q^40 δ^ 9 ⬯~~(-S)~>⬮—>⬮<~⬯<— r(1) q^83/2 δ|^9
2) h^13 q^44 δ^ 9 ⬯~~(-S)~>⬮—>⬮<~⬯<— r(1) q^91/2 δ|^9
3) h^14 q^46 δ^ 9 ⬯~~(-S)~>⬮—>⬮<~⬯<— r(1) q^95/2 δ|^9
4) h^15 q^48 δ^ 9 ⬯~~(-S)~>⬮—>⬮<~⬯<— r(1) q^99/2 δ|^9
5) h^16 q^50 δ^ 9 ⬯~~(-S)~>⬮—>⬮<~⬯<— r(1) q^103/2 δ|^9
6) h^ 9 q^38 δ^10 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s2(0) q^41 δ|^19/2
7) h^11 q^42 δ^10 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s2(0) q^45 δ|^19/2
8) h^12 q^44 δ^10 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s2(0) q^47 δ|^19/2
9) h^ 7 q^36 δ^11 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s2(0) q^39 δ|^21/2
10) h^ 8 q^38 δ^11 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s2(0) q^41 δ|^21/2
11) h^ 3 q^30 δ^12 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s2(0) q^33 δ|^23/2
12) h^ 5 q^32 δ^11 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^37 δ|^21/2
13) h^-1 q^24 δ^13 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^29 δ|^25/2
options -c5
(diagram)
(metadata)
% file 'examples/torus-tangles/4-9/cxKhr-c5', generated by kht++ v0.1-56-g13efd45 on Sun Jul 31 10:06:12 2022 GMT
1) h^11 q^40 δ^ 9 ⬯~~(-S)~>⬮—>⬮<~⬯<— r(1) q^83/2 δ|^9
2) h^13 q^44 δ^ 9 ⬯~~(-S)~>⬮—>⬮<~⬯—>⬯~>⬮<—⬮<~⬯<— r2(1) q^93/2 δ|^9
3) h^15 q^48 δ^ 9 ⬯~~(-S)~>⬮—>⬮<~⬯—>⬯~>⬮<—⬮<~⬯<— r2(1) q^101/2 δ|^9
4) h^ 9 q^38 δ^10 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s2(0) q^41 δ|^19/2
5) h^11 q^42 δ^10 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s2(0) q^45 δ|^19/2
6) h^12 q^44 δ^10 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s2(0) q^47 δ|^19/2
7) h^ 7 q^36 δ^11 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s2(0) q^39 δ|^21/2
8) h^ 8 q^38 δ^11 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s2(0) q^41 δ|^21/2
9) h^ 3 q^30 δ^12 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s2(0) q^33 δ|^23/2
10) h^ 5 q^32 δ^11 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^37 δ|^21/2
11) h^-1 q^24 δ^13 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^29 δ|^25/2
options -c7
(diagram)
(metadata)
% file 'examples/torus-tangles/4-9/cxKhr-c7', generated by kht++ v0.1-56-g13efd45 on Sun Jul 31 10:06:12 2022 GMT
1) h^11 q^40 δ^ 9 ⬯~~(-S)~>⬮—>⬮<~⬯<— r(1) q^83/2 δ|^9
2) h^13 q^44 δ^ 9 ⬯~~(-S)~>⬮—>⬮<~⬯—>⬯~>⬮<—⬮<~⬯<— r2(1) q^93/2 δ|^9
3) h^15 q^48 δ^ 9 ⬯~~(-S)~>⬮—>⬮<~⬯—>⬯~>⬮<—⬮<~⬯<— r2(1) q^101/2 δ|^9
4) h^ 9 q^38 δ^10 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s2(0) q^41 δ|^19/2
5) h^11 q^42 δ^10 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s2(0) q^45 δ|^19/2
6) h^12 q^44 δ^10 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s2(0) q^47 δ|^19/2
7) h^ 7 q^36 δ^11 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s2(0) q^39 δ|^21/2
8) h^ 8 q^38 δ^11 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s2(0) q^41 δ|^21/2
9) h^ 3 q^30 δ^12 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s2(0) q^33 δ|^23/2
10) h^ 5 q^32 δ^11 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^37 δ|^21/2
11) h^-1 q^24 δ^13 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^29 δ|^25/2
options -c11
(diagram)
(metadata)
% file 'examples/torus-tangles/4-9/cxKhr-c11', generated by kht++ v0.1-56-g13efd45 on Sun Jul 31 10:06:12 2022 GMT
1) h^11 q^40 δ^ 9 ⬯~~(-S)~>⬮—>⬮<~⬯<— r(1) q^83/2 δ|^9
2) h^13 q^44 δ^ 9 ⬯~~(-S)~>⬮—>⬮<~⬯—>⬯~>⬮<—⬮<~⬯<— r2(1) q^93/2 δ|^9
3) h^15 q^48 δ^ 9 ⬯~~(-S)~>⬮—>⬮<~⬯—>⬯~>⬮<—⬮<~⬯<— r2(1) q^101/2 δ|^9
4) h^ 9 q^38 δ^10 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s2(0) q^41 δ|^19/2
5) h^11 q^42 δ^10 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s2(0) q^45 δ|^19/2
6) h^12 q^44 δ^10 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s2(0) q^47 δ|^19/2
7) h^ 7 q^36 δ^11 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s2(0) q^39 δ|^21/2
8) h^ 8 q^38 δ^11 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s2(0) q^41 δ|^21/2
9) h^ 3 q^30 δ^12 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s2(0) q^33 δ|^23/2
10) h^ 5 q^32 δ^11 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^37 δ|^21/2
11) h^-1 q^24 δ^13 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^29 δ|^25/2