K14n17918
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K14n17918/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+9 t^2-16 t+19-16 t^{-1} +9 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K14n17918/Conway Polynomial |
| Determinant | Data:K14n17918/Determinant |
| Signature | Data:K14n17918/Signature |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^6-a^6+2 z^4 a^4+3 z^2 a^4-z^6 a^2-z^4 a^2+4 z^2 a^2+4 a^2-z^6-4 z^4-6 z^2-3+z^2 a^{-2} + a^{-2} +z^2 a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ \text{QuantumGroups$\grave{ }$a}^3 z^{11}+\text{QuantumGroups$\grave{ }$a} z^{11}+3 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+4 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+z^{10} $Failed^{-1} +2 z^{10}+4 \text{QuantumGroups$\grave{ }$a}^5 z^9+2 \text{QuantumGroups$\grave{ }$a}^3 z^9-3 \text{QuantumGroups$\grave{ }$a} z^9+z^9 $Failed^{-1} +2 z^9 $Failed^{-1} +3 \text{QuantumGroups$\grave{ }$a}^6 z^8-6 \text{QuantumGroups$\grave{ }$a}^4 z^8-15 \text{QuantumGroups$\grave{ }$a}^2 z^8-8 z^8 $Failed^{-1} +z^8 $Failed^{-1} -15 z^8+\text{QuantumGroups$\grave{ }$a}^7 z^7-12 \text{QuantumGroups$\grave{ }$a}^5 z^7-15 \text{QuantumGroups$\grave{ }$a}^3 z^7-\text{QuantumGroups$\grave{ }$a} z^7-13 z^7 $Failed^{-1} -14 z^7 $Failed^{-1} -11 \text{QuantumGroups$\grave{ }$a}^6 z^6-6 \text{QuantumGroups$\grave{ }$a}^4 z^6+20 \text{QuantumGroups$\grave{ }$a}^2 z^6+15 z^6 $Failed^{-1} -6 z^6 $Failed^{-1} +36 z^6-4 \text{QuantumGroups$\grave{ }$a}^7 z^5+5 \text{QuantumGroups$\grave{ }$a}^5 z^5+14 \text{QuantumGroups$\grave{ }$a}^3 z^5+12 \text{QuantumGroups$\grave{ }$a} z^5+34 z^5 $Failed^{-1} +27 z^5 $Failed^{-1} +11 \text{QuantumGroups$\grave{ }$a}^6 z^4+8 \text{QuantumGroups$\grave{ }$a}^4 z^4-18 \text{QuantumGroups$\grave{ }$a}^2 z^4-8 z^4 $Failed^{-1} +9 z^4 $Failed^{-1} -32 z^4+5 \text{QuantumGroups$\grave{ }$a}^7 z^3+2 \text{QuantumGroups$\grave{ }$a}^5 z^3-8 \text{QuantumGroups$\grave{ }$a}^3 z^3-12 \text{QuantumGroups$\grave{ }$a} z^3-24 z^3 $Failed^{-1} -17 z^3 $Failed^{-1} -4 \text{QuantumGroups$\grave{ }$a}^6 z^2-3 \text{QuantumGroups$\grave{ }$a}^4 z^2+11 \text{QuantumGroups$\grave{ }$a}^2 z^2+3 z^2 $Failed^{-1} -3 z^2 $Failed^{-1} +16 z^2-2 \text{QuantumGroups$\grave{ }$a}^7 z-\text{QuantumGroups$\grave{ }$a}^5 z+3 \text{QuantumGroups$\grave{ }$a}^3 z+5 \text{QuantumGroups$\grave{ }$a} z+5 z $Failed^{-1} +2 z $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^6-4 \text{QuantumGroups$\grave{ }$a}^2- $Failed^{-1} -3 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
