K13n3437
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n3437/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+7 t^3-20 t^2+32 t-35+32 t^{-1} -20 t^{-2} +7 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3437/Conway Polynomial |
| Determinant | 155 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -5 z^6 a^{-2} +z^6 a^{-4} +3 z^6-3 a^2 z^4-10 z^4 a^{-2} +4 z^4 a^{-4} +11 z^4+a^4 z^2-7 a^2 z^2-10 z^2 a^{-2} +4 z^2 a^{-4} -z^2 a^{-6} +12 z^2+a^4-3 a^2-3 a^{-2} + a^{-4} +5 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +5 a^2 z^{10}+7 z^{10} a^{-2} +12 z^{10}+4 a^3 z^9+8 a z^9+14 z^9 a^{-1} +10 z^9 a^{-3} +a^4 z^8-15 a^2 z^8-7 z^8 a^{-2} +7 z^8 a^{-4} -30 z^8-17 a^3 z^7-53 a z^7-61 z^7 a^{-1} -23 z^7 a^{-3} +2 z^7 a^{-5} -4 a^4 z^6+2 a^2 z^6-26 z^6 a^{-2} -12 z^6 a^{-4} -8 z^6+24 a^3 z^5+67 a z^5+54 z^5 a^{-1} +15 z^5 a^{-3} +4 z^5 a^{-5} +6 a^4 z^4+23 a^2 z^4+36 z^4 a^{-2} +12 z^4 a^{-4} +5 z^4 a^{-6} +46 z^4-12 a^3 z^3-24 a z^3-12 z^3 a^{-1} -2 z^3 a^{-3} -z^3 a^{-5} +z^3 a^{-7} -4 a^4 z^2-17 a^2 z^2-18 z^2 a^{-2} -6 z^2 a^{-4} -z^2 a^{-6} -26 z^2+a^3 z+a z-z a^{-1} -2 z a^{-3} -z a^{-5} +a^4+3 a^2+3 a^{-2} + a^{-4} +5 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
