K14n13167
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Polynomial invariants
| Jones polynomial | Data:K14n13167/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -4 t^3+19 t^2-44 t+59-44 t^{-1} +19 t^{-2} -4 t^{-3} }[/math] |
| Conway polynomial | Data:K14n13167/Conway Polynomial |
| Determinant | Data:K14n13167/Determinant |
| Signature | Data:K14n13167/Signature |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^6+2 z^2 a^6+2 a^6-z^6 a^4-2 z^4 a^4-4 z^2 a^4-3 a^4-2 z^6 a^2-4 z^4 a^2-2 z^2 a^2+a^2-z^6-z^4-z^2+z^4 a^{-2} +z^2 a^{-2} + a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ \text{QuantumGroups$\grave{ }$a}^4 z^{12}+\text{QuantumGroups$\grave{ }$a}^2 z^{12}+4 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+7 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+3 \text{QuantumGroups$\grave{ }$a} z^{11}+5 \text{QuantumGroups$\grave{ }$a}^6 z^{10}+10 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+9 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+4 z^{10}+3 \text{QuantumGroups$\grave{ }$a}^7 z^9-9 \text{QuantumGroups$\grave{ }$a}^5 z^9-12 \text{QuantumGroups$\grave{ }$a}^3 z^9+3 \text{QuantumGroups$\grave{ }$a} z^9+3 z^9 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^8 z^8-20 \text{QuantumGroups$\grave{ }$a}^6 z^8-46 \text{QuantumGroups$\grave{ }$a}^4 z^8-28 \text{QuantumGroups$\grave{ }$a}^2 z^8+z^8 $Failed^{-1} -2 z^8-13 \text{QuantumGroups$\grave{ }$a}^7 z^7-3 \text{QuantumGroups$\grave{ }$a}^5 z^7-9 \text{QuantumGroups$\grave{ }$a}^3 z^7-20 \text{QuantumGroups$\grave{ }$a} z^7-z^7 $Failed^{-1} -5 \text{QuantumGroups$\grave{ }$a}^8 z^6+27 \text{QuantumGroups$\grave{ }$a}^6 z^6+63 \text{QuantumGroups$\grave{ }$a}^4 z^6+22 \text{QuantumGroups$\grave{ }$a}^2 z^6+4 z^6 $Failed^{-1} -5 z^6+18 \text{QuantumGroups$\grave{ }$a}^7 z^5+10 \text{QuantumGroups$\grave{ }$a}^5 z^5+13 \text{QuantumGroups$\grave{ }$a}^3 z^5+20 \text{QuantumGroups$\grave{ }$a} z^5+3 z^5 $Failed^{-1} +4 z^5 $Failed^{-1} +8 \text{QuantumGroups$\grave{ }$a}^8 z^4-19 \text{QuantumGroups$\grave{ }$a}^6 z^4-51 \text{QuantumGroups$\grave{ }$a}^4 z^4-13 \text{QuantumGroups$\grave{ }$a}^2 z^4-2 z^4 $Failed^{-1} +z^4 $Failed^{-1} +8 z^4-9 \text{QuantumGroups$\grave{ }$a}^7 z^3-3 \text{QuantumGroups$\grave{ }$a}^5 z^3-3 \text{QuantumGroups$\grave{ }$a}^3 z^3-6 \text{QuantumGroups$\grave{ }$a} z^3-3 z^3 $Failed^{-1} -4 \text{QuantumGroups$\grave{ }$a}^8 z^2+10 \text{QuantumGroups$\grave{ }$a}^6 z^2+22 \text{QuantumGroups$\grave{ }$a}^4 z^2+6 \text{QuantumGroups$\grave{ }$a}^2 z^2+z^2 $Failed^{-1} -z^2 $Failed^{-1} +2 \text{QuantumGroups$\grave{ }$a}^7 z-2 \text{QuantumGroups$\grave{ }$a}^3 z-2 \text{QuantumGroups$\grave{ }$a}^6-3 \text{QuantumGroups$\grave{ }$a}^4-\text{QuantumGroups$\grave{ }$a}^2- $Failed^{-1} }[/math] |
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