K13n2670
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n2670/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^3-14 t^2+31 t-39+31 t^{-1} -14 t^{-2} +3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2670/Conway Polynomial |
| Determinant | 135 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^6 a^{-2} +z^6-a^2 z^4+7 z^4 a^{-2} -3 z^4 a^{-4} +z^4-a^2 z^2+11 z^2 a^{-2} -7 z^2 a^{-4} +z^2 a^{-6} -2 z^2+7 a^{-2} -5 a^{-4} + a^{-6} -2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{11} a^{-1} +3 z^{11} a^{-3} +14 z^{10} a^{-2} +6 z^{10} a^{-4} +8 z^{10}+8 a z^9+2 z^9 a^{-1} -2 z^9 a^{-3} +4 z^9 a^{-5} +4 a^2 z^8-59 z^8 a^{-2} -25 z^8 a^{-4} +z^8 a^{-6} -29 z^8+a^3 z^7-30 a z^7-44 z^7 a^{-1} -27 z^7 a^{-3} -14 z^7 a^{-5} -13 a^2 z^6+85 z^6 a^{-2} +46 z^6 a^{-4} +2 z^6 a^{-6} +28 z^6-3 a^3 z^5+30 a z^5+71 z^5 a^{-1} +64 z^5 a^{-3} +30 z^5 a^{-5} +4 z^5 a^{-7} +8 a^2 z^4-53 z^4 a^{-2} -36 z^4 a^{-4} -3 z^4 a^{-6} +z^4 a^{-8} -13 z^4+a^3 z^3-14 a z^3-40 z^3 a^{-1} -47 z^3 a^{-3} -28 z^3 a^{-5} -6 z^3 a^{-7} -2 a^2 z^2+22 z^2 a^{-2} +16 z^2 a^{-4} +z^2 a^{-6} -z^2 a^{-8} +6 z^2+3 a z+9 z a^{-1} +13 z a^{-3} +9 z a^{-5} +2 z a^{-7} -7 a^{-2} -5 a^{-4} - a^{-6} -2 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
