K14n18340
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Polynomial invariants
| Jones polynomial | Data:K14n18340/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-4 t^4+9 t^3-12 t^2+13 t-13+13 t^{-1} -12 t^{-2} +9 t^{-3} -4 t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K14n18340/Conway Polynomial |
| Determinant | Data:K14n18340/Determinant |
| Signature | Data:K14n18340/Signature |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^{10}-a^{10}-z^8 a^8-6 z^6 a^8-11 z^4 a^8-7 z^2 a^8-a^8+z^{10} a^6+8 z^8 a^6+24 z^6 a^6+34 z^4 a^6+21 z^2 a^6+3 a^6-z^8 a^4-6 z^6 a^4-11 z^4 a^4-6 z^2 a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^3 \text{QuantumGroups$\grave{ }$a}^{15}-z \text{QuantumGroups$\grave{ }$a}^{15}+2 z^4 \text{QuantumGroups$\grave{ }$a}^{14}-z^2 \text{QuantumGroups$\grave{ }$a}^{14}+3 z^5 \text{QuantumGroups$\grave{ }$a}^{13}-2 z^3 \text{QuantumGroups$\grave{ }$a}^{13}+z \text{QuantumGroups$\grave{ }$a}^{13}+5 z^6 \text{QuantumGroups$\grave{ }$a}^{12}-9 z^4 \text{QuantumGroups$\grave{ }$a}^{12}+5 z^2 \text{QuantumGroups$\grave{ }$a}^{12}+z^9 \text{QuantumGroups$\grave{ }$a}^{11}-3 z^5 \text{QuantumGroups$\grave{ }$a}^{11}+2 z^{10} \text{QuantumGroups$\grave{ }$a}^{10}-6 z^8 \text{QuantumGroups$\grave{ }$a}^{10}+6 z^6 \text{QuantumGroups$\grave{ }$a}^{10}-7 z^4 \text{QuantumGroups$\grave{ }$a}^{10}+\text{QuantumGroups$\grave{ }$a}^{10}+2 z^{11} \text{QuantumGroups$\grave{ }$a}^9-6 z^9 \text{QuantumGroups$\grave{ }$a}^9+2 z^7 \text{QuantumGroups$\grave{ }$a}^9-z^5 \text{QuantumGroups$\grave{ }$a}^9+z^3 \text{QuantumGroups$\grave{ }$a}^9-z \text{QuantumGroups$\grave{ }$a}^9+z^{12} \text{QuantumGroups$\grave{ }$a}^8-15 z^8 \text{QuantumGroups$\grave{ }$a}^8+25 z^6 \text{QuantumGroups$\grave{ }$a}^8-18 z^4 \text{QuantumGroups$\grave{ }$a}^8+8 z^2 \text{QuantumGroups$\grave{ }$a}^8-\text{QuantumGroups$\grave{ }$a}^8+5 z^{11} \text{QuantumGroups$\grave{ }$a}^7-24 z^9 \text{QuantumGroups$\grave{ }$a}^7+32 z^7 \text{QuantumGroups$\grave{ }$a}^7-15 z^5 \text{QuantumGroups$\grave{ }$a}^7+4 z^3 \text{QuantumGroups$\grave{ }$a}^7+z^{12} \text{QuantumGroups$\grave{ }$a}^6+z^{10} \text{QuantumGroups$\grave{ }$a}^6-28 z^8 \text{QuantumGroups$\grave{ }$a}^6+64 z^6 \text{QuantumGroups$\grave{ }$a}^6-55 z^4 \text{QuantumGroups$\grave{ }$a}^6+23 z^2 \text{QuantumGroups$\grave{ }$a}^6-3 \text{QuantumGroups$\grave{ }$a}^6+3 z^{11} \text{QuantumGroups$\grave{ }$a}^5-16 z^9 \text{QuantumGroups$\grave{ }$a}^5+24 z^7 \text{QuantumGroups$\grave{ }$a}^5-9 z^5 \text{QuantumGroups$\grave{ }$a}^5-z \text{QuantumGroups$\grave{ }$a}^5+3 z^{10} \text{QuantumGroups$\grave{ }$a}^4-19 z^8 \text{QuantumGroups$\grave{ }$a}^4+40 z^6 \text{QuantumGroups$\grave{ }$a}^4-33 z^4 \text{QuantumGroups$\grave{ }$a}^4+9 z^2 \text{QuantumGroups$\grave{ }$a}^4+z^9 \text{QuantumGroups$\grave{ }$a}^3-6 z^7 \text{QuantumGroups$\grave{ }$a}^3+11 z^5 \text{QuantumGroups$\grave{ }$a}^3-6 z^3 \text{QuantumGroups$\grave{ }$a}^3 }[/math] |
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