K12n444
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^4+2 q^3-2 q^2+4 q-4+4 q^{-1} -4 q^{-2} +3 q^{-3} -2 q^{-4} + q^{-5} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -2 t^2+7 t-9+7 t^{-1} -2 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ -2 z^4-z^2+1 }[/math] |
| Determinant | 27 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^4+a^4-z^4 a^2-2 z^2 a^2-a^2-z^4-2 z^2-1+2 z^2 a^{-2} +3 a^{-2} - a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^2 z^{10}+z^{10}+2 a^3 z^9+4 a z^9+2 z^9 a^{-1} +a^4 z^8-3 a^2 z^8+z^8 a^{-2} -3 z^8-12 a^3 z^7-23 a z^7-11 z^7 a^{-1} -6 a^4 z^6-6 a^2 z^6-4 z^6 a^{-2} -4 z^6+22 a^3 z^5+40 a z^5+19 z^5 a^{-1} +z^5 a^{-3} +11 a^4 z^4+20 a^2 z^4+2 z^4 a^{-2} +11 z^4-15 a^3 z^3-28 a z^3-17 z^3 a^{-1} -4 z^3 a^{-3} -7 a^4 z^2-12 a^2 z^2+2 z^2 a^{-2} +z^2 a^{-4} -4 z^2+4 a^3 z+8 a z+6 z a^{-1} +3 z a^{-3} +z a^{-5} +a^4+a^2-3 a^{-2} - a^{-4} -1 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
