K13a2714
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13a2714/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+11 t^3-27 t^2+41 t-45+41 t^{-1} -27 t^{-2} +11 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K13a2714/Conway Polynomial |
| Determinant | 207 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^2 z^8-z^8+2 a^4 z^6-3 a^2 z^6+z^6 a^{-2} -5 z^6-a^6 z^4+6 a^4 z^4+4 z^4 a^{-2} -10 z^4-2 a^6 z^2+3 a^4 z^2+5 a^2 z^2+4 z^2 a^{-2} -10 z^2-a^4+3 a^2+ a^{-2} -2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^2 z^{12}+z^{12}+4 a^3 z^{11}+7 a z^{11}+3 z^{11} a^{-1} +8 a^4 z^{10}+11 a^2 z^{10}+4 z^{10} a^{-2} +7 z^{10}+11 a^5 z^9+4 a^3 z^9-16 a z^9-6 z^9 a^{-1} +3 z^9 a^{-3} +11 a^6 z^8-8 a^4 z^8-40 a^2 z^8-17 z^8 a^{-2} +z^8 a^{-4} -39 z^8+8 a^7 z^7-17 a^5 z^7-29 a^3 z^7-11 z^7 a^{-1} -15 z^7 a^{-3} +4 a^8 z^6-17 a^6 z^6-7 a^4 z^6+51 a^2 z^6+23 z^6 a^{-2} -5 z^6 a^{-4} +65 z^6+a^9 z^5-11 a^7 z^5+8 a^5 z^5+34 a^3 z^5+22 a z^5+32 z^5 a^{-1} +24 z^5 a^{-3} -5 a^8 z^4+9 a^6 z^4+12 a^4 z^4-38 a^2 z^4-15 z^4 a^{-2} +7 z^4 a^{-4} -58 z^4-a^9 z^3+4 a^7 z^3+2 a^5 z^3-12 a^3 z^3-21 a z^3-26 z^3 a^{-1} -14 z^3 a^{-3} +a^8 z^2-2 a^6 z^2-a^4 z^2+18 a^2 z^2+7 z^2 a^{-2} -2 z^2 a^{-4} +25 z^2-a^7 z-2 a^5 z+4 a z+5 z a^{-1} +2 z a^{-3} -a^4-3 a^2- a^{-2} -2 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
