K13n302
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n302/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+5 t^3-11 t^2+17 t-19+17 t^{-1} -11 t^{-2} +5 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n302/Conway Polynomial |
| Determinant | 87 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8+2 a^2 z^6+z^6 a^{-2} -6 z^6-a^4 z^4+10 a^2 z^4+4 z^4 a^{-2} -14 z^4-4 a^4 z^2+17 a^2 z^2+5 z^2 a^{-2} -16 z^2-4 a^4+10 a^2+2 a^{-2} -7 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +3 a^2 z^{10}+3 z^{10} a^{-2} +6 z^{10}+3 a^3 z^9+4 a z^9+4 z^9 a^{-1} +3 z^9 a^{-3} +a^4 z^8-10 a^2 z^8-11 z^8 a^{-2} +z^8 a^{-4} -23 z^8-11 a^3 z^7-30 a z^7-34 z^7 a^{-1} -15 z^7 a^{-3} +a^4 z^6+14 a^2 z^6+6 z^6 a^{-2} -5 z^6 a^{-4} +24 z^6+4 a^5 z^5+21 a^3 z^5+49 a z^5+56 z^5 a^{-1} +24 z^5 a^{-3} +2 a^6 z^4-5 a^4 z^4-22 a^2 z^4+6 z^4 a^{-2} +8 z^4 a^{-4} -17 z^4+a^7 z^3-5 a^5 z^3-24 a^3 z^3-41 a z^3-38 z^3 a^{-1} -15 z^3 a^{-3} -a^6 z^2+8 a^4 z^2+22 a^2 z^2-z^2 a^{-2} -4 z^2 a^{-4} +16 z^2-a^7 z+3 a^5 z+11 a^3 z+15 a z+12 z a^{-1} +4 z a^{-3} -4 a^4-10 a^2-2 a^{-2} -7 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
