K13n1774
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n1774/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3-4 t^2+8 t-9+8 t^{-1} -4 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n1774/Conway Polynomial |
| Determinant | 35 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^4 z^8+a^2 z^8+a^6 z^6-7 a^4 z^6+8 a^2 z^6-z^6+4 a^6 z^4-18 a^4 z^4+21 a^2 z^4-5 z^4+5 a^6 z^2-19 a^4 z^2+22 a^2 z^2-7 z^2+2 a^6-7 a^4+8 a^2-2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^{11}+a z^{11}+a^6 z^{10}+2 a^4 z^{10}+3 a^2 z^{10}+2 z^{10}+3 a^7 z^9+3 a^5 z^9-7 a^3 z^9-6 a z^9+z^9 a^{-1} +4 a^8 z^8-a^6 z^8-16 a^4 z^8-26 a^2 z^8-15 z^8+3 a^9 z^7-10 a^7 z^7-16 a^5 z^7+9 a^3 z^7+5 a z^7-7 z^7 a^{-1} +a^{10} z^6-14 a^8 z^6-7 a^6 z^6+42 a^4 z^6+70 a^2 z^6+36 z^6-10 a^9 z^5+7 a^7 z^5+29 a^5 z^5+11 a^3 z^5+14 a z^5+15 z^5 a^{-1} -3 a^{10} z^4+11 a^8 z^4+10 a^6 z^4-46 a^4 z^4-77 a^2 z^4-35 z^4+6 a^9 z^3-a^7 z^3-19 a^5 z^3-20 a^3 z^3-19 a z^3-11 z^3 a^{-1} +a^{10} z^2-3 a^8 z^2+27 a^4 z^2+38 a^2 z^2+15 z^2-a^9 z+5 a^5 z+7 a^3 z+5 a z+2 z a^{-1} -2 a^6-7 a^4-8 a^2-2 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
