K13n3206
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n3206/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+8 t^3-21 t^2+34 t-39+34 t^{-1} -21 t^{-2} +8 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3206/Conway Polynomial |
| Determinant | 167 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-8} +2 z^6 a^{-6} -4 z^6 a^{-8} +2 z^6 a^{-10} +8 z^4 a^{-6} -6 z^4 a^{-8} +6 z^4 a^{-10} -z^4 a^{-12} +10 z^2 a^{-6} -6 z^2 a^{-8} +4 z^2 a^{-10} -2 z^2 a^{-12} +4 a^{-6} -3 a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-9} +z^{11} a^{-11} +2 z^{10} a^{-8} +7 z^{10} a^{-10} +5 z^{10} a^{-12} +z^9 a^{-7} +5 z^9 a^{-9} +14 z^9 a^{-11} +10 z^9 a^{-13} -2 z^8 a^{-8} -8 z^8 a^{-10} +5 z^8 a^{-12} +11 z^8 a^{-14} +z^7 a^{-7} -10 z^7 a^{-9} -32 z^7 a^{-11} -13 z^7 a^{-13} +8 z^7 a^{-15} +3 z^6 a^{-6} +4 z^6 a^{-8} -z^6 a^{-10} -23 z^6 a^{-12} -17 z^6 a^{-14} +4 z^6 a^{-16} -5 z^5 a^{-7} +21 z^5 a^{-11} +4 z^5 a^{-13} -11 z^5 a^{-15} +z^5 a^{-17} -10 z^4 a^{-6} -15 z^4 a^{-8} -3 z^4 a^{-10} +17 z^4 a^{-12} +10 z^4 a^{-14} -5 z^4 a^{-16} +z^3 a^{-9} -z^3 a^{-11} +4 z^3 a^{-13} +5 z^3 a^{-15} -z^3 a^{-17} +11 z^2 a^{-6} +12 z^2 a^{-8} +2 z^2 a^{-10} -z^2 a^{-12} -z^2 a^{-14} +z^2 a^{-16} +3 z a^{-7} -4 z a^{-11} -2 z a^{-13} -z a^{-15} -4 a^{-6} -3 a^{-8} }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
