K12n640
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^{14}+2 q^{13}-4 q^{12}+5 q^{11}-5 q^{10}+5 q^9-4 q^8+2 q^7+q^4 }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^4-3 t^2+7 t-9+7 t^{-1} -3 t^{-2} + t^{-4} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^8+8 z^6+17 z^4+11 z^2+1 }[/math] |
| Determinant | 27 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-8} +8 z^6 a^{-8} +20 z^4 a^{-8} -2 z^4 a^{-10} -z^4 a^{-12} +18 z^2 a^{-8} -5 z^2 a^{-10} -2 z^2 a^{-12} +4 a^{-8} -2 a^{-10} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^8 a^{-8} +z^8 a^{-14} +2 z^7 a^{-13} +2 z^7 a^{-15} -8 z^6 a^{-8} -2 z^6 a^{-10} +3 z^6 a^{-12} -z^6 a^{-14} +2 z^6 a^{-16} -2 z^5 a^{-9} +z^5 a^{-11} -2 z^5 a^{-13} -4 z^5 a^{-15} +z^5 a^{-17} +20 z^4 a^{-8} +9 z^4 a^{-10} -5 z^4 a^{-12} +z^4 a^{-14} -5 z^4 a^{-16} +6 z^3 a^{-9} +2 z^3 a^{-11} +z^3 a^{-15} -3 z^3 a^{-17} -18 z^2 a^{-8} -8 z^2 a^{-10} +5 z^2 a^{-12} -3 z^2 a^{-14} +2 z^2 a^{-16} -3 z a^{-9} -z a^{-15} +2 z a^{-17} +4 a^{-8} +2 a^{-10} - a^{-12} }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
