K13n3202
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n3202/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^3+16 t^2-38 t+51-38 t^{-1} +16 t^{-2} -3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3202/Conway Polynomial |
| Determinant | 165 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^6-a^6+2 z^4 a^4+3 z^2 a^4+2 a^4-z^6 a^2+2 z^2 a^2+a^2-2 z^6-6 z^4-8 z^2-3+2 z^4 a^{-2} +3 z^2 a^{-2} +2 a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^3 z^{11}+2 a z^{11}+4 a^4 z^{10}+10 a^2 z^{10}+6 z^{10}+4 a^5 z^9+3 a^3 z^9+6 a z^9+7 z^9 a^{-1} +3 a^6 z^8-6 a^4 z^8-24 a^2 z^8+4 z^8 a^{-2} -11 z^8+a^7 z^7-9 a^5 z^7-12 a^3 z^7-13 a z^7-10 z^7 a^{-1} +z^7 a^{-3} -11 a^6 z^6-6 a^4 z^6+27 a^2 z^6+3 z^6 a^{-2} +25 z^6-4 a^7 z^5-a^5 z^5-a^3 z^5+a z^5+12 z^5 a^{-1} +7 z^5 a^{-3} +13 a^6 z^4+12 a^4 z^4-26 a^2 z^4-8 z^4 a^{-2} +3 z^4 a^{-4} -36 z^4+5 a^7 z^3+10 a^5 z^3+9 a^3 z^3+5 a z^3-6 z^3 a^{-1} -7 z^3 a^{-3} -6 a^6 z^2-8 a^4 z^2+10 a^2 z^2+6 z^2 a^{-2} -2 z^2 a^{-4} +20 z^2-2 a^7 z-4 a^5 z-3 a^3 z-2 a z+z a^{-3} +a^6+2 a^4-a^2-2 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. |
