K13n2511
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n2511/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-4 t^4+8 t^3-10 t^2+9 t-7+9 t^{-1} -10 t^{-2} +8 t^{-3} -4 t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K13n2511/Conway Polynomial |
| Determinant | 71 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^{10} a^{-2} +8 z^8 a^{-2} -z^8 a^{-4} -z^8+24 z^6 a^{-2} -7 z^6 a^{-4} -6 z^6+35 z^4 a^{-2} -16 z^4 a^{-4} +z^4 a^{-6} -12 z^4+25 z^2 a^{-2} -15 z^2 a^{-4} +2 z^2 a^{-6} -10 z^2+7 a^{-2} -5 a^{-4} + a^{-6} -2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-1} +2 z^{11} a^{-3} +8 z^{10} a^{-2} +3 z^{10} a^{-4} +5 z^{10}+5 a z^9-4 z^9 a^{-1} -8 z^9 a^{-3} +z^9 a^{-5} +3 a^2 z^8-46 z^8 a^{-2} -19 z^8 a^{-4} -24 z^8+a^3 z^7-22 a z^7-15 z^7 a^{-1} +2 z^7 a^{-3} -6 z^7 a^{-5} -12 a^2 z^6+92 z^6 a^{-2} +43 z^6 a^{-4} +37 z^6-4 a^3 z^5+26 a z^5+39 z^5 a^{-1} +22 z^5 a^{-3} +13 z^5 a^{-5} +10 a^2 z^4-84 z^4 a^{-2} -42 z^4 a^{-4} -32 z^4+3 a^3 z^3-14 a z^3-30 z^3 a^{-1} -23 z^3 a^{-3} -10 z^3 a^{-5} -2 a^2 z^2+38 z^2 a^{-2} +22 z^2 a^{-4} +z^2 a^{-6} +15 z^2+3 a z+7 z a^{-1} +7 z a^{-3} +3 z a^{-5} -7 a^{-2} -5 a^{-4} - a^{-6} -2 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
