K12n204
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{10}-4 q^9+7 q^8-12 q^7+15 q^6-15 q^5+15 q^4-11 q^3+8 q^2-4 q+1 }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^3+9 t^2-22 t+29-22 t^{-1} +9 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^6+3 z^4+5 z^2+1 }[/math] |
| Determinant | 93 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-4} +z^4 a^{-2} -2 z^4 a^{-4} +4 z^4 a^{-6} +z^2 a^{-2} -z^2 a^{-4} +9 z^2 a^{-6} -4 z^2 a^{-8} +5 a^{-6} -5 a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-6} +z^{10} a^{-8} +4 z^9 a^{-5} +6 z^9 a^{-7} +2 z^9 a^{-9} +6 z^8 a^{-4} +8 z^8 a^{-6} +3 z^8 a^{-8} +z^8 a^{-10} +4 z^7 a^{-3} -4 z^7 a^{-5} -12 z^7 a^{-7} -4 z^7 a^{-9} +z^6 a^{-2} -15 z^6 a^{-4} -24 z^6 a^{-6} -7 z^6 a^{-8} +z^6 a^{-10} -10 z^5 a^{-3} -8 z^5 a^{-5} +12 z^5 a^{-7} +14 z^5 a^{-9} +4 z^5 a^{-11} -2 z^4 a^{-2} +8 z^4 a^{-4} +15 z^4 a^{-6} +6 z^4 a^{-8} +2 z^4 a^{-10} +z^4 a^{-12} +5 z^3 a^{-3} +4 z^3 a^{-5} -12 z^3 a^{-7} -16 z^3 a^{-9} -5 z^3 a^{-11} +z^2 a^{-2} -2 z^2 a^{-4} +3 z^2 a^{-6} +5 z^2 a^{-8} -2 z^2 a^{-10} -z^2 a^{-12} +z a^{-5} +8 z a^{-7} +8 z a^{-9} +z a^{-11} -5 a^{-6} -5 a^{-8} - a^{-10} }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
