K13n2534
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n2534/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^3-19 t^2+48 t-63+48 t^{-1} -19 t^{-2} +3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2534/Conway Polynomial |
| Determinant | 203 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^8-2 z^4 a^6+2 a^6+z^6 a^4-2 z^4 a^4-7 z^2 a^4-5 a^4+2 z^6 a^2+5 z^4 a^2+7 z^2 a^2+4 a^2-2 z^4-2 z^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^5 z^{11}+2 a^3 z^{11}+7 a^6 z^{10}+12 a^4 z^{10}+5 a^2 z^{10}+10 a^7 z^9+16 a^5 z^9+10 a^3 z^9+4 a z^9+8 a^8 z^8-3 a^6 z^8-16 a^4 z^8-4 a^2 z^8+z^8+4 a^9 z^7-19 a^7 z^7-42 a^5 z^7-18 a^3 z^7+a z^7+a^{10} z^6-16 a^8 z^6-12 a^6 z^6+9 a^4 z^6+12 a^2 z^6+8 z^6-8 a^9 z^5+15 a^7 z^5+39 a^5 z^5+7 a^3 z^5-6 a z^5+3 z^5 a^{-1} -2 a^{10} z^4+10 a^8 z^4+9 a^6 z^4-16 a^4 z^4-28 a^2 z^4-15 z^4+4 a^9 z^3-10 a^7 z^3-18 a^5 z^3+a z^3-3 z^3 a^{-1} +a^{10} z^2-3 a^8 z^2+a^6 z^2+18 a^4 z^2+19 a^2 z^2+6 z^2+3 a^7 z+4 a^5 z-a z-2 a^6-5 a^4-4 a^2 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
