K12n672
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^2+4 q-7+9 q^{-1} -10 q^{-2} +10 q^{-3} -7 q^{-4} +5 q^{-5} - q^{-6} - q^{-7} + q^{-8} - q^{-9} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3-4 t^2+12 t-17+12 t^{-1} -4 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6+2 z^4+5 z^2+1 }[/math] |
| Determinant | 51 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^8-2 a^8+z^4 a^6+4 z^2 a^6+2 a^6-z^4 a^4+a^4+z^6 a^2+3 z^4 a^2+3 z^2 a^2-z^4-z^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^8 z^{10}+a^6 z^{10}+a^9 z^9+2 a^7 z^9+2 a^5 z^9+a^3 z^9-8 a^8 z^8-8 a^6 z^8+4 a^4 z^8+4 a^2 z^8-8 a^9 z^7-19 a^7 z^7-13 a^5 z^7+4 a^3 z^7+6 a z^7+19 a^8 z^6+17 a^6 z^6-11 a^4 z^6-5 a^2 z^6+4 z^6+21 a^9 z^5+52 a^7 z^5+34 a^5 z^5-10 a^3 z^5-12 a z^5+z^5 a^{-1} -17 a^8 z^4-5 a^6 z^4+17 a^4 z^4-2 a^2 z^4-7 z^4-23 a^9 z^3-50 a^7 z^3-27 a^5 z^3+4 a^3 z^3+3 a z^3-z^3 a^{-1} +6 a^8 z^2-a^6 z^2-8 a^4 z^2+z^2+9 a^9 z+15 a^7 z+8 a^5 z+2 a^3 z-2 a^8-2 a^6+a^4 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
