K12n370
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^8-2 q^7+2 q^6-2 q^5+q^4+q-1+ q^{-1} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^3+2 t^2-1+2 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^6-4 z^4-z^2+1 }[/math] |
| Determinant | 5 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-4} -5 z^4 a^{-4} +z^4 a^{-6} +z^2 a^{-2} -6 z^2 a^{-4} +3 z^2 a^{-6} +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} +3 z^9 a^{-5} +2 z^9 a^{-7} -6 z^8 a^{-4} -5 z^8 a^{-6} +z^8 a^{-8} -7 z^7 a^{-3} -20 z^7 a^{-5} -13 z^7 a^{-7} +9 z^6 a^{-4} +3 z^6 a^{-6} -6 z^6 a^{-8} +z^5 a^{-1} +14 z^5 a^{-3} +38 z^5 a^{-5} +25 z^5 a^{-7} -z^4 a^{-2} -6 z^4 a^{-4} +6 z^4 a^{-6} +10 z^4 a^{-8} +z^4-4 z^3 a^{-1} -12 z^3 a^{-3} -25 z^3 a^{-5} -17 z^3 a^{-7} +6 z^2 a^{-4} -2 z^2 a^{-6} -5 z^2 a^{-8} -3 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. |
