K12n723
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^4+q^3-q^2+2 q-2+3 q^{-1} -2 q^{-2} +3 q^{-3} -2 q^{-4} + q^{-5} - q^{-6} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-4 t^2+3 t-1+3 t^{-1} -4 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 2 z^6+8 z^4+5 z^2+1 }[/math] |
| Determinant | 19 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^6+z^6-a^4 z^4+5 a^2 z^4-z^4 a^{-2} +5 z^4-4 a^4 z^2+7 a^2 z^2-4 z^2 a^{-2} +6 z^2-3 a^4+4 a^2-2 a^{-2} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^4 z^{10}+a^2 z^{10}+a^5 z^9+3 a^3 z^9+2 a z^9-7 a^4 z^8-5 a^2 z^8+2 z^8-8 a^5 z^7-21 a^3 z^7-12 a z^7+z^7 a^{-1} +16 a^4 z^6+5 a^2 z^6-11 z^6+22 a^5 z^5+48 a^3 z^5+22 a z^5-4 z^5 a^{-1} -15 a^4 z^4+2 z^4 a^{-2} +17 z^4-24 a^5 z^3-43 a^3 z^3-17 a z^3+3 z^3 a^{-1} +z^3 a^{-3} +8 a^4 z^2+5 a^2 z^2-6 z^2 a^{-2} +z^2 a^{-4} -10 z^2+8 a^5 z+14 a^3 z+6 a z-2 z a^{-1} -z a^{-3} +z a^{-5} -3 a^4-4 a^2+2 a^{-2} +2 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
