K13n963
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n963/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^2-8 t+11-8 t^{-1} +3 t^{-2} }[/math] |
| Conway polynomial | Data:K13n963/Conway Polynomial |
| Determinant | 33 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^8-z^8-a^4 z^6+8 a^2 z^6+z^6 a^{-2} -8 z^6-5 a^4 z^4+25 a^2 z^4+5 z^4 a^{-2} -22 z^4-10 a^4 z^2+34 a^2 z^2+7 z^2 a^{-2} -27 z^2-7 a^4+17 a^2+3 a^{-2} -12 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^4 z^{10}+a^2 z^{10}+z^{10} a^{-2} +z^{10}+2 a^5 z^9+3 a^3 z^9+2 a z^9+3 z^9 a^{-1} +2 z^9 a^{-3} +2 a^6 z^8-2 a^4 z^8-7 a^2 z^8-5 z^8 a^{-2} +z^8 a^{-4} -9 z^8+a^7 z^7-6 a^5 z^7-13 a^3 z^7-18 a z^7-25 z^7 a^{-1} -13 z^7 a^{-3} -8 a^6 z^6+2 a^4 z^6+25 a^2 z^6+z^6 a^{-2} -6 z^6 a^{-4} +22 z^6-5 a^7 z^5+a^5 z^5+24 a^3 z^5+52 a z^5+59 z^5 a^{-1} +25 z^5 a^{-3} +8 a^6 z^4-16 a^4 z^4-50 a^2 z^4+10 z^4 a^{-2} +10 z^4 a^{-4} -26 z^4+8 a^7 z^3+3 a^5 z^3-33 a^3 z^3-62 a z^3-53 z^3 a^{-1} -19 z^3 a^{-3} -a^6 z^2+20 a^4 z^2+44 a^2 z^2-2 z^2 a^{-2} -5 z^2 a^{-4} +26 z^2-4 a^7 z+16 a^3 z+26 a z+20 z a^{-1} +6 z a^{-3} -7 a^4-17 a^2-3 a^{-2} -12 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
