K12n343
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^9-3 q^8+5 q^7-7 q^6+9 q^5-10 q^4+9 q^3-7 q^2+5 q-2+ q^{-1} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -4 t^2+15 t-21+15 t^{-1} -4 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ -4 z^4-z^2+1 }[/math] |
| Determinant | 59 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^{-2} -2 z^4 a^{-4} -z^4 a^{-6} -3 z^2 a^{-4} +z^2 a^{-8} +z^2+ a^{-2} -2 a^{-4} + a^{-6} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-4} +z^{10} a^{-6} +z^9 a^{-3} +4 z^9 a^{-5} +3 z^9 a^{-7} -4 z^8 a^{-4} +4 z^8 a^{-8} -4 z^7 a^{-3} -17 z^7 a^{-5} -10 z^7 a^{-7} +3 z^7 a^{-9} +3 z^6 a^{-2} +11 z^6 a^{-4} -7 z^6 a^{-6} -14 z^6 a^{-8} +z^6 a^{-10} +2 z^5 a^{-1} +13 z^5 a^{-3} +32 z^5 a^{-5} +11 z^5 a^{-7} -10 z^5 a^{-9} -4 z^4 a^{-2} -11 z^4 a^{-4} +9 z^4 a^{-6} +12 z^4 a^{-8} -3 z^4 a^{-10} +z^4-3 z^3 a^{-1} -13 z^3 a^{-3} -24 z^3 a^{-5} -8 z^3 a^{-7} +6 z^3 a^{-9} +2 z^2 a^{-2} +7 z^2 a^{-4} -z^2 a^{-6} -3 z^2 a^{-8} +z^2 a^{-10} -2 z^2+z a^{-1} +4 z a^{-3} +6 z a^{-5} +3 z a^{-7} - a^{-2} -2 a^{-4} - a^{-6} +1 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
