K12n304
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -2 q^2+4 q-6+10 q^{-1} -11 q^{-2} +12 q^{-3} -10 q^{-4} +8 q^{-5} -5 q^{-6} +2 q^{-7} - q^{-8} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 3 t^3-9 t^2+15 t-17+15 t^{-1} -9 t^{-2} +3 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 3 z^6+9 z^4+6 z^2+1 }[/math] |
| Determinant | 71 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^6-3 z^2 a^6-2 a^6+z^6 a^4+3 z^4 a^4+2 z^2 a^4+2 z^6 a^2+9 z^4 a^2+13 z^2 a^2+6 a^2-2 z^4-6 z^2-3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^4 z^{10}+a^2 z^{10}+2 a^5 z^9+4 a^3 z^9+2 a z^9+3 a^6 z^8-2 a^2 z^8+z^8+3 a^7 z^7-2 a^5 z^7-13 a^3 z^7-8 a z^7+2 a^8 z^6-6 a^6 z^6-a^4 z^6+7 a^2 z^6+a^9 z^5-6 a^7 z^5+24 a^3 z^5+20 a z^5+3 z^5 a^{-1} -4 a^8 z^4+8 a^6 z^4+4 a^4 z^4-15 a^2 z^4-7 z^4-3 a^9 z^3+4 a^7 z^3+5 a^5 z^3-20 a^3 z^3-27 a z^3-9 z^3 a^{-1} +a^8 z^2-7 a^6 z^2-a^4 z^2+15 a^2 z^2+8 z^2+2 a^9 z-2 a^7 z-3 a^5 z+7 a^3 z+11 a z+5 z a^{-1} +2 a^6-6 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. |
