K13n3435
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n3435/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+7 t^3-22 t^2+42 t-51+42 t^{-1} -22 t^{-2} +7 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3435/Conway Polynomial |
| Determinant | 195 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -4 z^6 a^{-2} +z^6 a^{-4} +2 z^6-a^2 z^4-7 z^4 a^{-2} +2 z^4 a^{-4} +6 z^4-2 a^2 z^2-7 z^2 a^{-2} +3 z^2 a^{-4} +7 z^2-a^2-4 a^{-2} +3 a^{-4} - a^{-6} +4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-1} +2 z^{11} a^{-3} +12 z^{10} a^{-2} +6 z^{10} a^{-4} +6 z^{10}+7 a z^9+15 z^9 a^{-1} +14 z^9 a^{-3} +6 z^9 a^{-5} +4 a^2 z^8-11 z^8 a^{-2} -2 z^8 a^{-4} +2 z^8 a^{-6} -3 z^8+a^3 z^7-17 a z^7-46 z^7 a^{-1} -32 z^7 a^{-3} -4 z^7 a^{-5} -12 a^2 z^6-28 z^6 a^{-2} -5 z^6 a^{-4} +7 z^6 a^{-6} -28 z^6-3 a^3 z^5+9 a z^5+26 z^5 a^{-1} +14 z^5 a^{-3} +6 z^5 a^{-5} +6 z^5 a^{-7} +13 a^2 z^4+33 z^4 a^{-2} +7 z^4 a^{-4} -2 z^4 a^{-6} +z^4 a^{-8} +36 z^4+3 a^3 z^3+3 a z^3-z^3 a^{-1} -z^3 a^{-3} -z^3 a^{-5} -z^3 a^{-7} -6 a^2 z^2-17 z^2 a^{-2} -8 z^2 a^{-4} -2 z^2 a^{-6} -17 z^2-a^3 z-2 a z-z a^{-1} -z a^{-5} -z a^{-7} +a^2+4 a^{-2} +3 a^{-4} + a^{-6} +4 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
