K13n2960
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n2960/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+6 t^3-14 t^2+21 t-23+21 t^{-1} -14 t^{-2} +6 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n2960/Conway Polynomial |
| Determinant | 107 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8+2 a^2 z^6+z^6 a^{-2} -5 z^6-a^4 z^4+8 a^2 z^4+3 z^4 a^{-2} -8 z^4-3 a^4 z^2+9 a^2 z^2+z^2 a^{-2} -4 z^2-2 a^4+3 a^2- a^{-2} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +4 a^2 z^{10}+5 z^{10} a^{-2} +9 z^{10}+4 a^3 z^9-a z^9-z^9 a^{-1} +4 z^9 a^{-3} +3 a^4 z^8-11 a^2 z^8-23 z^8 a^{-2} +z^8 a^{-4} -38 z^8+a^5 z^7-9 a^3 z^7-13 a z^7-22 z^7 a^{-1} -19 z^7 a^{-3} -6 a^4 z^6+11 a^2 z^6+32 z^6 a^{-2} -4 z^6 a^{-4} +53 z^6+a^5 z^5+5 a^3 z^5+14 a z^5+36 z^5 a^{-1} +26 z^5 a^{-3} +3 a^6 z^4+6 a^4 z^4-15 a^2 z^4-16 z^4 a^{-2} +4 z^4 a^{-4} -38 z^4+a^7 z^3+a^5 z^3-7 a z^3-15 z^3 a^{-1} -8 z^3 a^{-3} -2 a^6 z^2+2 a^4 z^2+11 a^2 z^2+3 z^2 a^{-2} +10 z^2-a^7 z+a^3 z-z a^{-1} -z a^{-3} -2 a^4-3 a^2+ a^{-2} +1 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
