K13a954
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13a954/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-13 t^3+35 t^2-57 t+67-57 t^{-1} +35 t^{-2} -13 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13a954/Conway Polynomial |
| Determinant | 281 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^8+z^8-2 a^4 z^6+2 a^2 z^6-z^6 a^{-2} +4 z^6+a^6 z^4-5 a^4 z^4-3 a^2 z^4-3 z^4 a^{-2} +7 z^4+2 a^6 z^2-a^4 z^2-8 a^2 z^2-2 z^2 a^{-2} +7 z^2+2 a^4-4 a^2+3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^4 z^{12}+2 a^2 z^{12}+6 a^5 z^{11}+13 a^3 z^{11}+7 a z^{11}+7 a^6 z^{10}+13 a^4 z^{10}+18 a^2 z^{10}+12 z^{10}+4 a^7 z^9-11 a^5 z^9-23 a^3 z^9+6 a z^9+14 z^9 a^{-1} +a^8 z^8-25 a^6 z^8-57 a^4 z^8-52 a^2 z^8+12 z^8 a^{-2} -9 z^8-16 a^7 z^7-13 a^5 z^7-13 a^3 z^7-41 a z^7-17 z^7 a^{-1} +8 z^7 a^{-3} -4 a^8 z^6+27 a^6 z^6+58 a^4 z^6+26 a^2 z^6-14 z^6 a^{-2} +4 z^6 a^{-4} -19 z^6+21 a^7 z^5+29 a^5 z^5+28 a^3 z^5+32 a z^5+2 z^5 a^{-1} -9 z^5 a^{-3} +z^5 a^{-5} +5 a^8 z^4-10 a^6 z^4-19 a^4 z^4+14 a^2 z^4+5 z^4 a^{-2} -5 z^4 a^{-4} +28 z^4-10 a^7 z^3-12 a^5 z^3-9 a^3 z^3-4 a z^3+8 z^3 a^{-1} +4 z^3 a^{-3} -z^3 a^{-5} -2 a^8 z^2+2 a^6 z^2-a^4 z^2-17 a^2 z^2+z^2 a^{-2} +2 z^2 a^{-4} -13 z^2+a^7 z+a^5 z-2 a z-3 z a^{-1} -z a^{-3} +2 a^4+4 a^2+3 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
