K13n2451
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n2451/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-5 t^3+14 t^2-25 t+31-25 t^{-1} +14 t^{-2} -5 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n2451/Conway Polynomial |
| Determinant | 121 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +6 z^6 a^{-2} -z^6 a^{-4} -2 z^6+a^2 z^4+15 z^4 a^{-2} -4 z^4 a^{-4} -8 z^4+2 a^2 z^2+17 z^2 a^{-2} -6 z^2 a^{-4} -11 z^2+a^2+7 a^{-2} -3 a^{-4} -4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +6 z^{10} a^{-2} +4 z^{10} a^{-4} +2 z^{10}+2 a z^9+3 z^9 a^{-1} +6 z^9 a^{-3} +5 z^9 a^{-5} +a^2 z^8-17 z^8 a^{-2} -12 z^8 a^{-4} +3 z^8 a^{-6} -z^8-a z^7-8 z^7 a^{-1} -27 z^7 a^{-3} -19 z^7 a^{-5} +z^7 a^{-7} +2 a^2 z^6+28 z^6 a^{-2} +15 z^6 a^{-4} -11 z^6 a^{-6} +4 z^6+4 a^3 z^5+4 a z^5+8 z^5 a^{-1} +37 z^5 a^{-3} +25 z^5 a^{-5} -4 z^5 a^{-7} +a^4 z^4-40 z^4 a^{-2} -19 z^4 a^{-4} +11 z^4 a^{-6} -11 z^4-4 a^3 z^3-2 a z^3-8 z^3 a^{-1} -31 z^3 a^{-3} -17 z^3 a^{-5} +4 z^3 a^{-7} -a^4 z^2+27 z^2 a^{-2} +11 z^2 a^{-4} -2 z^2 a^{-6} +15 z^2+a z+5 z a^{-1} +9 z a^{-3} +5 z a^{-5} -a^2-7 a^{-2} -3 a^{-4} -4 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
