K13n163
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n163/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-7 t^3+22 t^2-44 t+57-44 t^{-1} +22 t^{-2} -7 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n163/Conway Polynomial |
| Determinant | 205 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8-3 a^2 z^6-z^6 a^{-2} +5 z^6+3 a^4 z^4-11 a^2 z^4-4 z^4 a^{-2} +12 z^4-a^6 z^2+7 a^4 z^2-16 a^2 z^2-8 z^2 a^{-2} +z^2 a^{-4} +14 z^2-a^6+5 a^4-8 a^2-5 a^{-2} +2 a^{-4} +8 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^{11}+a z^{11}+4 a^4 z^{10}+10 a^2 z^{10}+6 z^{10}+6 a^5 z^9+20 a^3 z^9+26 a z^9+12 z^9 a^{-1} +4 a^6 z^8+7 a^4 z^8+6 a^2 z^8+10 z^8 a^{-2} +13 z^8+a^7 z^7-14 a^5 z^7-57 a^3 z^7-66 a z^7-21 z^7 a^{-1} +3 z^7 a^{-3} -13 a^6 z^6-49 a^4 z^6-75 a^2 z^6-17 z^6 a^{-2} -56 z^6-3 a^7 z^5+6 a^5 z^5+43 a^3 z^5+55 a z^5+27 z^5 a^{-1} +6 z^5 a^{-3} +15 a^6 z^4+61 a^4 z^4+92 a^2 z^4+27 z^4 a^{-2} +6 z^4 a^{-4} +67 z^4+3 a^7 z^3+4 a^5 z^3-11 a^3 z^3-23 a z^3-20 z^3 a^{-1} -9 z^3 a^{-3} -7 a^6 z^2-29 a^4 z^2-45 a^2 z^2-21 z^2 a^{-2} -7 z^2 a^{-4} -37 z^2-a^7 z-2 a^5 z+a^3 z+4 a z+5 z a^{-1} +3 z a^{-3} +a^6+5 a^4+8 a^2+5 a^{-2} +2 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. |
