K12n362
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^4+3 q^3-4 q^2+5 q-5+5 q^{-1} -4 q^{-2} +3 q^{-3} - q^{-4} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3-4 t^2+7 t-7+7 t^{-1} -4 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6+2 z^4+1 }[/math] |
| Determinant | 31 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6-a^2 z^4-z^4 a^{-2} +4 z^4-2 a^2 z^2-2 z^2 a^{-2} +4 z^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^2 z^{10}+z^{10}+a^3 z^9+4 a z^9+3 z^9 a^{-1} -4 a^2 z^8+3 z^8 a^{-2} -z^8-6 a^3 z^7-21 a z^7-14 z^7 a^{-1} +z^7 a^{-3} +a^2 z^6-14 z^6 a^{-2} -13 z^6+11 a^3 z^5+31 a z^5+16 z^5 a^{-1} -4 z^5 a^{-3} -a^4 z^4+5 a^2 z^4+16 z^4 a^{-2} +22 z^4-a^5 z^3-9 a^3 z^3-17 a z^3-6 z^3 a^{-1} +3 z^3 a^{-3} +a^4 z^2-3 a^2 z^2-5 z^2 a^{-2} -9 z^2+a^5 z+3 a^3 z+3 a z+z a^{-1} +1 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
