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Input data and context
% 5-8
r1.r2.r3.r4.y3.y2.y1.y0.y3.y2.y1.y0.y3.y2.y1.y0.y3.y2.y1.y0.y3.y2.y1.y0.y3.y2.y1.y0.y3.y2.y1.y0.y3.y2.y1.y0.u4.u3.u2
,1
Bar-Natan multicurve \(\mathrm{\widetilde{BN}}(T)\)
options -c2
(diagram)
(metadata)
% file 'examples/torus-tangles/5-8/cxBNr-c2', generated by kht++ v0.1-56-g13efd45 on Sun Jul 31 10:06:33 2022 GMT
1) h^12 q^45 δ^21/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
2) h^10 q^43 δ^23/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
3) h^ 6 q^37 δ^25/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
4) h^ 0 q^29 δ^29/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯<—⬯~>⬮—>⬮~>⬮—>⬮~>⬯<—D^2——⬯~>⬮—>⬮~>⬮—>⬮~>⬯<—⬯~>⬮—>⬮~>⬮—>⬮~>⬯<—⬯~>⬮—>⬮~>⬮
options -c3
(diagram)
(metadata)
% file 'examples/torus-tangles/5-8/cxBNr-c3', generated by kht++ v0.1-56-g13efd45 on Sun Jul 31 10:06:33 2022 GMT
1) h^10 q^43 δ^23/2 ⬯~~(-S)~>⬮—>⬮~>⬯<—⬯~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
2) h^ 0 q^29 δ^29/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯<—⬯~>⬮—>⬮~>⬯<—⬯~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<—D^2——⬯~>⬮—>⬮~>⬮—>⬮~>⬯<—⬯~>⬮—>⬮~>⬮—>⬮~>⬯<—⬯~>⬮—>⬮~>⬮
options -c5
(diagram)
(metadata)
% file 'examples/torus-tangles/5-8/cxBNr-c5', generated by kht++ v0.1-56-g13efd45 on Sun Jul 31 10:06:33 2022 GMT
1) h^8 q^39 δ^23/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯<—⬯~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯—>⬯<~⬮<—⬮<~⬯<—D^2——
2) h^0 q^29 δ^29/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯<—⬯~>⬮—>⬮~>⬯<—⬯~>⬮—>⬮~>⬮—>⬮~>⬯<—⬯~>⬮—>⬮~>⬯<—⬯~>⬮—>⬮~>⬮—>⬮~>⬯<—⬯~>⬮—>⬮~>⬮
options -c7
(diagram)
(metadata)
% file 'examples/torus-tangles/5-8/cxBNr-c7', generated by kht++ v0.1-56-g13efd45 on Sun Jul 31 10:06:33 2022 GMT
1) h^10 q^43 δ^23/2 ⬯~~(-S)~>⬮—>⬮~>⬯<—⬯~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
2) h^ 0 q^29 δ^29/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯<—⬯~>⬮—>⬮~>⬯<—⬯~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<—D^2——⬯~>⬮—>⬮~>⬮—>⬮~>⬯<—⬯~>⬮—>⬮~>⬮—>⬮~>⬯<—⬯~>⬮—>⬮~>⬮
options -c11
(diagram)
(metadata)
% file 'examples/torus-tangles/5-8/cxBNr-c11', generated by kht++ v0.1-56-g13efd45 on Sun Jul 31 10:06:33 2022 GMT
1) h^10 q^43 δ^23/2 ⬯~~(-S)~>⬮—>⬮~>⬯<—⬯~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<—
2) h^ 0 q^29 δ^29/2 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯<—⬯~>⬮—>⬮~>⬯<—⬯~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<—D^2——⬯~>⬮—>⬮~>⬮—>⬮~>⬯<—⬯~>⬮—>⬮~>⬮—>⬮~>⬯<—⬯~>⬮—>⬮~>⬮
Khovanov multicurve \(\mathrm{\widetilde{Kh}}(T)\)
options -c2
(diagram)
(metadata)
% file 'examples/torus-tangles/5-8/cxKhr-c2', generated by kht++ v0.1-56-g13efd45 on Sun Jul 31 10:06:33 2022 GMT
1) h^15 q^50 δ^10 ⬯~~S~>⬮—>⬮~>⬮—>⬮<~⬮<—⬮<~⬯<— r(1/3) q^213/4 δ|^10
2) h^11 q^44 δ^11 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^49 δ|^21/2
3) h^11 q^44 δ^11 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^49 δ|^21/2
4) h^12 q^46 δ^11 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^51 δ|^21/2
5) h^ 7 q^38 δ^12 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^43 δ|^23/2
6) h^ 9 q^42 δ^12 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^47 δ|^23/2
7) h^10 q^44 δ^12 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^49 δ|^23/2
8) h^ 5 q^36 δ^13 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^41 δ|^25/2
9) h^ 6 q^38 δ^13 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^43 δ|^25/2
10) h^ 3 q^34 δ^14 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^39 δ|^27/2
11) h^-1 q^28 δ^15 ⬯~~S~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^33 δ|^29/2
options -c3
(diagram)
(metadata)
% file 'examples/torus-tangles/5-8/cxKhr-c3', generated by kht++ v0.1-56-g13efd45 on Sun Jul 31 10:06:33 2022 GMT
1) h^15 q^50 δ^10 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮<~⬮<—⬮<~⬯<— r(1/3) q^213/4 δ|^10
2) h^14 q^50 δ^11 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s2(0) q^53 δ|^21/2
3) h^ 9 q^42 δ^12 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s2(0) q^45 δ|^23/2
4) h^ 8 q^42 δ^13 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s2(0) q^45 δ|^25/2
5) h^ 3 q^34 δ^14 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s2(0) q^37 δ|^27/2
6) h^11 q^44 δ^11 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^49 δ|^21/2
7) h^11 q^44 δ^11 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^49 δ|^21/2
8) h^ 7 q^38 δ^12 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^43 δ|^23/2
9) h^10 q^44 δ^12 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^49 δ|^23/2
10) h^ 5 q^36 δ^13 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^41 δ|^25/2
11) h^-1 q^28 δ^15 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^33 δ|^29/2
options -c5
(diagram)
(metadata)
% file 'examples/torus-tangles/5-8/cxKhr-c5', generated by kht++ v0.1-56-g13efd45 on Sun Jul 31 10:06:33 2022 GMT
1) h^15 q^50 δ^10 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮<~⬮<—⬮<~⬯<— r(1/3) q^213/4 δ|^10
2) h^14 q^50 δ^11 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s2(0) q^53 δ|^21/2
3) h^ 9 q^42 δ^12 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s2(0) q^45 δ|^23/2
4) h^ 8 q^42 δ^13 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s2(0) q^45 δ|^25/2
5) h^ 3 q^34 δ^14 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s2(0) q^37 δ|^27/2
6) h^11 q^44 δ^11 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^49 δ|^21/2
7) h^11 q^44 δ^11 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^49 δ|^21/2
8) h^ 7 q^38 δ^12 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^43 δ|^23/2
9) h^10 q^44 δ^12 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^49 δ|^23/2
10) h^ 5 q^36 δ^13 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^41 δ|^25/2
11) h^-1 q^28 δ^15 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^33 δ|^29/2
options -c7
(diagram)
(metadata)
% file 'examples/torus-tangles/5-8/cxKhr-c7', generated by kht++ v0.1-56-g13efd45 on Sun Jul 31 10:06:33 2022 GMT
1) h^15 q^50 δ^10 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮<~⬮<—⬮<~⬯<— r(1/3) q^213/4 δ|^10
2) h^14 q^50 δ^11 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s2(0) q^53 δ|^21/2
3) h^ 9 q^42 δ^12 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s2(0) q^45 δ|^23/2
4) h^ 8 q^42 δ^13 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s2(0) q^45 δ|^25/2
5) h^ 3 q^34 δ^14 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s2(0) q^37 δ|^27/2
6) h^11 q^44 δ^11 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^49 δ|^21/2
7) h^11 q^44 δ^11 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^49 δ|^21/2
8) h^ 7 q^38 δ^12 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^43 δ|^23/2
9) h^10 q^44 δ^12 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^49 δ|^23/2
10) h^ 5 q^36 δ^13 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^41 δ|^25/2
11) h^-1 q^28 δ^15 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^33 δ|^29/2
options -c11
(diagram)
(metadata)
% file 'examples/torus-tangles/5-8/cxKhr-c11', generated by kht++ v0.1-56-g13efd45 on Sun Jul 31 10:06:33 2022 GMT
1) h^15 q^50 δ^10 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮<~⬮<—⬮<~⬯<— r(1/3) q^213/4 δ|^10
2) h^14 q^50 δ^11 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s2(0) q^53 δ|^21/2
3) h^ 9 q^42 δ^12 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s2(0) q^45 δ|^23/2
4) h^ 8 q^42 δ^13 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s2(0) q^45 δ|^25/2
5) h^ 3 q^34 δ^14 ⬯~~(-S)~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬯<— s2(0) q^37 δ|^27/2
6) h^11 q^44 δ^11 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^49 δ|^21/2
7) h^11 q^44 δ^11 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^49 δ|^21/2
8) h^ 7 q^38 δ^12 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^43 δ|^23/2
9) h^10 q^44 δ^12 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^49 δ|^23/2
10) h^ 5 q^36 δ^13 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^41 δ|^25/2
11) h^-1 q^28 δ^15 ⬯~~(-S)~>⬮—>⬮~>⬮—>⬮~>⬯—>⬯<~⬮<—⬮<~⬮<—⬮<~⬯<— s4(0) q^33 δ|^29/2