K13n1158
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n1158/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^5+3 t^4-4 t^3+5 t^2-7 t+9-7 t^{-1} +5 t^{-2} -4 t^{-3} +3 t^{-4} - t^{-5} }[/math] |
| Conway polynomial | Data:K13n1158/Conway Polynomial |
| Determinant | 49 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^{10}+a^2 z^8+z^8 a^{-2} -9 z^8+7 a^2 z^6+8 z^6 a^{-2} -30 z^6+16 a^2 z^4+22 z^4 a^{-2} -z^4 a^{-4} -46 z^4+13 a^2 z^2+24 z^2 a^{-2} -4 z^2 a^{-4} -33 z^2+3 a^2+9 a^{-2} -3 a^{-4} -8 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +2 a^2 z^{10}+2 z^{10} a^{-2} +4 z^{10}+2 a^3 z^9-4 a z^9-5 z^9 a^{-1} +z^9 a^{-3} +2 a^4 z^8-11 a^2 z^8-15 z^8 a^{-2} -28 z^8+2 a^5 z^7-8 a^3 z^7+a z^7+5 z^7 a^{-1} -6 z^7 a^{-3} +a^6 z^6-7 a^4 z^6+23 a^2 z^6+44 z^6 a^{-2} +2 z^6 a^{-4} +73 z^6-8 a^5 z^5+8 a^3 z^5+13 a z^5+11 z^5 a^{-1} +15 z^5 a^{-3} +z^5 a^{-5} -4 a^6 z^4+4 a^4 z^4-24 a^2 z^4-59 z^4 a^{-2} -8 z^4 a^{-4} -83 z^4+7 a^5 z^3-a^3 z^3-12 a z^3-18 z^3 a^{-1} -18 z^3 a^{-3} -4 z^3 a^{-5} +3 a^6 z^2+14 a^2 z^2+36 z^2 a^{-2} +8 z^2 a^{-4} +45 z^2-2 a^5 z-2 a^3 z+3 a z+7 z a^{-1} +7 z a^{-3} +3 z a^{-5} -3 a^2-9 a^{-2} -3 a^{-4} -8 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
