K13n4455
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n4455/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-5 t^3+14 t^2-21 t+23-21 t^{-1} +14 t^{-2} -5 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n4455/Conway Polynomial |
| Determinant | 105 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^8-4 z^4 a^8-6 z^2 a^8-4 a^8+z^8 a^6+6 z^6 a^6+15 z^4 a^6+18 z^2 a^6+7 a^6-2 z^6 a^4-8 z^4 a^4-9 z^2 a^4-3 a^4+z^4 a^2+3 z^2 a^2+a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^5 a^{13}-2 z^3 a^{13}+3 z^6 a^{12}-5 z^4 a^{12}+6 z^7 a^{11}-14 z^5 a^{11}+11 z^3 a^{11}-4 z a^{11}+7 z^8 a^{10}-17 z^6 a^{10}+16 z^4 a^{10}-4 z^2 a^{10}+6 z^9 a^9-15 z^7 a^9+16 z^5 a^9-3 z^3 a^9+z a^9+4 z^{10} a^8-12 z^8 a^8+22 z^6 a^8-19 z^4 a^8+13 z^2 a^8-4 a^8+z^{11} a^7+3 z^9 a^7-19 z^7 a^7+42 z^5 a^7-35 z^3 a^7+9 z a^7+5 z^{10} a^6-23 z^8 a^6+53 z^6 a^6-58 z^4 a^6+27 z^2 a^6-7 a^6+z^{11} a^5-3 z^9 a^5+5 z^7 a^5+z^5 a^5-12 z^3 a^5+5 z a^5+z^{10} a^4-4 z^8 a^4+12 z^6 a^4-22 z^4 a^4+14 z^2 a^4-3 a^4+3 z^7 a^3-10 z^5 a^3+7 z^3 a^3+z a^3+z^6 a^2-4 z^4 a^2+4 z^2 a^2-a^2 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
