K13n3089
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n3089/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^2+12 t-21+12 t^{-1} - t^{-2} }[/math] |
| Conway polynomial | Data:K13n3089/Conway Polynomial |
| Determinant | 47 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^{12}+2 z^2 a^{10}+a^{10}-z^4 a^8-z^2 a^8-2 a^8+4 z^2 a^6+3 a^6+2 z^2 a^4+z^2 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^9 a^{13}-7 z^7 a^{13}+17 z^5 a^{13}-17 z^3 a^{13}+6 z a^{13}+2 z^{10} a^{12}-13 z^8 a^{12}+27 z^6 a^{12}-20 z^4 a^{12}+5 z^2 a^{12}-a^{12}+z^{11} a^{11}-3 z^9 a^{11}-8 z^7 a^{11}+31 z^5 a^{11}-24 z^3 a^{11}+4 z a^{11}+4 z^{10} a^{10}-23 z^8 a^{10}+40 z^6 a^{10}-24 z^4 a^{10}+6 z^2 a^{10}-a^{10}+z^{11} a^9-3 z^9 a^9-2 z^7 a^9+5 z^5 a^9+3 z^3 a^9-2 z a^9+2 z^{10} a^8-10 z^8 a^8+19 z^6 a^8-25 z^4 a^8+16 z^2 a^8-2 a^8+z^9 a^7-z^7 a^7-5 z^5 a^7+2 z^3 a^7+6 z^6 a^6-18 z^4 a^6+12 z^2 a^6-3 a^6+4 z^5 a^5-6 z^3 a^5+3 z^4 a^4-2 z^2 a^4+2 z^3 a^3+z^2 a^2 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
