K13n3657
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n3657/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 5 t^3-23 t^2+50 t-63+50 t^{-1} -23 t^{-2} +5 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3657/Conway Polynomial |
| Determinant | 219 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^8+a^8-3 z^4 a^6-6 z^2 a^6-4 a^6+2 z^6 a^4+4 z^4 a^4+4 z^2 a^4+3 a^4+3 z^6 a^2+9 z^4 a^2+9 z^2 a^2+2 a^2-3 z^4-5 z^2-1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 a^5 z^{11}+3 a^3 z^{11}+7 a^6 z^{10}+16 a^4 z^{10}+9 a^2 z^{10}+8 a^7 z^9+11 a^5 z^9+12 a^3 z^9+9 a z^9+7 a^8 z^8-2 a^6 z^8-30 a^4 z^8-18 a^2 z^8+3 z^8+4 a^9 z^7-6 a^7 z^7-26 a^5 z^7-33 a^3 z^7-17 a z^7+a^{10} z^6-12 a^8 z^6-15 a^6 z^6+22 a^4 z^6+30 a^2 z^6+6 z^6-9 a^9 z^5-15 a^7 z^5+9 a^5 z^5+27 a^3 z^5+18 a z^5+6 z^5 a^{-1} -2 a^{10} z^4+5 a^8 z^4+19 a^6 z^4-5 a^4 z^4-37 a^2 z^4-20 z^4+7 a^9 z^3+21 a^7 z^3+12 a^5 z^3-8 a^3 z^3-15 a z^3-9 z^3 a^{-1} +a^{10} z^2-a^8 z^2-13 a^6 z^2-5 a^4 z^2+17 a^2 z^2+11 z^2-2 a^9 z-8 a^7 z-7 a^5 z+a^3 z+4 a z+2 z a^{-1} +a^8+4 a^6+3 a^4-2 a^2-1 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
