K12n779
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^8+4 q^7-9 q^6+14 q^5-17 q^4+19 q^3-18 q^2+14 q-9+5 q^{-1} - q^{-2} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-11 t^2+26 t-33+26 t^{-1} -11 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 2 z^6+z^4+1 }[/math] |
| Determinant | 111 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +z^6 a^{-4} +z^4 a^{-2} +2 z^4 a^{-4} -z^4 a^{-6} -z^4-2 z^2 a^{-2} +3 z^2 a^{-4} -z^2 a^{-6} -3 a^{-2} +3 a^{-4} - a^{-6} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10} a^{-4} +z^9 a^{-1} +6 z^9 a^{-3} +5 z^9 a^{-5} +3 z^8 a^{-2} +12 z^8 a^{-4} +9 z^8 a^{-6} +3 z^7 a^{-1} -4 z^7 a^{-3} +z^7 a^{-5} +8 z^7 a^{-7} -3 z^6 a^{-2} -27 z^6 a^{-4} -15 z^6 a^{-6} +4 z^6 a^{-8} +5 z^6+a z^5-5 z^5 a^{-1} -7 z^5 a^{-3} -15 z^5 a^{-5} -13 z^5 a^{-7} +z^5 a^{-9} +2 z^4 a^{-2} +23 z^4 a^{-4} +9 z^4 a^{-6} -5 z^4 a^{-8} -7 z^4-a z^3+z^3 a^{-1} +9 z^3 a^{-3} +14 z^3 a^{-5} +6 z^3 a^{-7} -z^3 a^{-9} -7 z^2 a^{-2} -11 z^2 a^{-4} -4 z^2 a^{-6} +z^2 a^{-8} -z^2-2 z a^{-3} -4 z a^{-5} -2 z a^{-7} +3 a^{-2} +3 a^{-4} + a^{-6} +2 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
