K13n2754
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n2754/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^3+19 t^2-47 t+63-47 t^{-1} +19 t^{-2} -3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2754/Conway Polynomial |
| Determinant | 201 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -2 z^6+4 a^2 z^4+z^4 a^{-4} -4 z^4-2 a^4 z^2+7 a^2 z^2+z^2 a^{-2} -4 z^2-2 a^4+4 a^2-1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +4 a^2 z^{10}+8 z^{10} a^{-2} +12 z^{10}+3 a^3 z^9+7 a z^9+17 z^9 a^{-1} +13 z^9 a^{-3} +a^4 z^8-4 a^2 z^8-3 z^8 a^{-2} +11 z^8 a^{-4} -19 z^8-a^3 z^7-14 a z^7-43 z^7 a^{-1} -25 z^7 a^{-3} +5 z^7 a^{-5} +4 a^4 z^6+12 a^2 z^6-18 z^6 a^{-2} -22 z^6 a^{-4} +z^6 a^{-6} +13 z^6+3 a^5 z^5+4 a^3 z^5+13 a z^5+31 z^5 a^{-1} +11 z^5 a^{-3} -8 z^5 a^{-5} -9 a^4 z^4-18 a^2 z^4+12 z^4 a^{-2} +10 z^4 a^{-4} -z^4 a^{-6} -8 z^4-6 a^5 z^3-10 a^3 z^3-8 a z^3-7 z^3 a^{-1} -z^3 a^{-3} +2 z^3 a^{-5} +6 a^4 z^2+11 a^2 z^2-z^2 a^{-2} -z^2 a^{-4} +5 z^2+3 a^5 z+5 a^3 z+3 a z+z a^{-1} -2 a^4-4 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. |