K12n7
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^5-2 q^4+4 q^3-6 q^2+6 q-6+6 q^{-1} -4 q^{-2} +3 q^{-3} - q^{-4} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3-5 t^2+9 t-9+9 t^{-1} -5 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6+z^4-2 z^2+1 }[/math] |
| Determinant | 39 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6-a^2 z^4-2 z^4 a^{-2} +4 z^4-2 a^2 z^2-6 z^2 a^{-2} +z^2 a^{-4} +5 z^2-4 a^{-2} +2 a^{-4} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10}+3 a z^9+5 z^9 a^{-1} +2 z^9 a^{-3} +3 a^2 z^8-z^8 a^{-2} +z^8 a^{-4} +z^8+a^3 z^7-13 a z^7-25 z^7 a^{-1} -11 z^7 a^{-3} -14 a^2 z^6-15 z^6 a^{-2} -6 z^6 a^{-4} -23 z^6-4 a^3 z^5+13 a z^5+36 z^5 a^{-1} +19 z^5 a^{-3} +17 a^2 z^4+34 z^4 a^{-2} +12 z^4 a^{-4} +39 z^4+3 a^3 z^3-5 a z^3-21 z^3 a^{-1} -13 z^3 a^{-3} -7 a^2 z^2-23 z^2 a^{-2} -9 z^2 a^{-4} -21 z^2+2 a z+6 z a^{-1} +4 z a^{-3} +4 a^{-2} +2 a^{-4} +3 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
