K13n2631
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n2631/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-16 t^2+48 t-67+48 t^{-1} -16 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2631/Conway Polynomial |
| Determinant | 199 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +z^6 a^{-4} -z^4 a^{-2} -z^4 a^{-6} -2 z^4+a^2 z^2-2 z^2 a^{-2} +z^2 a^{-4} +2 z^2 a^{-6} - a^{-2} + a^{-4} + a^{-6} - a^{-8} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-3} +2 z^{11} a^{-5} +7 z^{10} a^{-2} +12 z^{10} a^{-4} +5 z^{10} a^{-6} +10 z^9 a^{-1} +16 z^9 a^{-3} +10 z^9 a^{-5} +4 z^9 a^{-7} -3 z^8 a^{-2} -17 z^8 a^{-4} -5 z^8 a^{-6} +z^8 a^{-8} +8 z^8+4 a z^7-19 z^7 a^{-1} -45 z^7 a^{-3} -24 z^7 a^{-5} -2 z^7 a^{-7} +a^2 z^6-15 z^6 a^{-2} +4 z^6 a^{-4} +8 z^6 a^{-6} +6 z^6 a^{-8} -16 z^6-8 a z^5+14 z^5 a^{-1} +45 z^5 a^{-3} +22 z^5 a^{-5} +2 z^5 a^{-7} +3 z^5 a^{-9} -2 a^2 z^4+17 z^4 a^{-2} +4 z^4 a^{-4} -12 z^4 a^{-6} -11 z^4 a^{-8} +10 z^4+4 a z^3-9 z^3 a^{-1} -21 z^3 a^{-3} -10 z^3 a^{-5} -7 z^3 a^{-7} -5 z^3 a^{-9} +a^2 z^2-8 z^2 a^{-2} -z^2 a^{-4} +6 z^2 a^{-6} +4 z^2 a^{-8} -4 z^2+2 z a^{-1} +4 z a^{-3} +2 z a^{-5} +2 z a^{-7} +2 z a^{-9} + a^{-2} + a^{-4} - a^{-6} - a^{-8} +1 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
