K13n3933
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n3933/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+8 t^2-16 t+21-16 t^{-1} +8 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3933/Conway Polynomial |
| Determinant | 73 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^8-z^8-a^4 z^6+6 a^2 z^6+z^6 a^{-2} -8 z^6-3 a^4 z^4+14 a^2 z^4+5 z^4 a^{-2} -20 z^4-3 a^4 z^2+14 a^2 z^2+7 z^2 a^{-2} -20 z^2-a^4+5 a^2+3 a^{-2} -6 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^{11}+2 a z^{11}+z^{11} a^{-1} +4 a^4 z^{10}+7 a^2 z^{10}+2 z^{10} a^{-2} +5 z^{10}+6 a^5 z^9+6 a^3 z^9-7 a z^9-5 z^9 a^{-1} +2 z^9 a^{-3} +4 a^6 z^8-9 a^4 z^8-35 a^2 z^8-14 z^8 a^{-2} +z^8 a^{-4} -37 z^8+a^7 z^7-21 a^5 z^7-39 a^3 z^7-9 a z^7-5 z^7 a^{-1} -13 z^7 a^{-3} -14 a^6 z^6-8 a^4 z^6+57 a^2 z^6+25 z^6 a^{-2} -6 z^6 a^{-4} +82 z^6-3 a^7 z^5+17 a^5 z^5+54 a^3 z^5+44 a z^5+32 z^5 a^{-1} +22 z^5 a^{-3} +12 a^6 z^4+12 a^4 z^4-45 a^2 z^4-18 z^4 a^{-2} +9 z^4 a^{-4} -72 z^4+2 a^7 z^3-7 a^5 z^3-32 a^3 z^3-36 a z^3-27 z^3 a^{-1} -14 z^3 a^{-3} -3 a^6 z^2-2 a^4 z^2+21 a^2 z^2+9 z^2 a^{-2} -4 z^2 a^{-4} +33 z^2+2 a^5 z+7 a^3 z+9 a z+7 z a^{-1} +3 z a^{-3} -a^4-5 a^2-3 a^{-2} -6 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
