K14n17568
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Polynomial invariants
| Jones polynomial | Data:K14n17568/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-10 t^3+35 t^2-66 t+81-66 t^{-1} +35 t^{-2} -10 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K14n17568/Conway Polynomial |
| Determinant | Data:K14n17568/Determinant |
| Signature | Data:K14n17568/Signature |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^{10}+2 z^2 a^{10}+a^{10}-2 z^6 a^8-5 z^4 a^8-5 z^2 a^8-2 a^8+z^8 a^6+3 z^6 a^6+5 z^4 a^6+5 z^2 a^6+a^6-3 z^6 a^4-8 z^4 a^4-6 z^2 a^4-a^4+2 z^4 a^2+4 z^2 a^2+2 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^6 \text{QuantumGroups$\grave{ }$a}^{14}-2 z^4 \text{QuantumGroups$\grave{ }$a}^{14}+z^2 \text{QuantumGroups$\grave{ }$a}^{14}+4 z^7 \text{QuantumGroups$\grave{ }$a}^{13}-7 z^5 \text{QuantumGroups$\grave{ }$a}^{13}+3 z^3 \text{QuantumGroups$\grave{ }$a}^{13}+9 z^8 \text{QuantumGroups$\grave{ }$a}^{12}-16 z^6 \text{QuantumGroups$\grave{ }$a}^{12}+10 z^4 \text{QuantumGroups$\grave{ }$a}^{12}-3 z^2 \text{QuantumGroups$\grave{ }$a}^{12}+14 z^9 \text{QuantumGroups$\grave{ }$a}^{11}-28 z^7 \text{QuantumGroups$\grave{ }$a}^{11}+27 z^5 \text{QuantumGroups$\grave{ }$a}^{11}-16 z^3 \text{QuantumGroups$\grave{ }$a}^{11}+4 z \text{QuantumGroups$\grave{ }$a}^{11}+14 z^{10} \text{QuantumGroups$\grave{ }$a}^{10}-23 z^8 \text{QuantumGroups$\grave{ }$a}^{10}+16 z^6 \text{QuantumGroups$\grave{ }$a}^{10}-7 z^4 \text{QuantumGroups$\grave{ }$a}^{10}+3 z^2 \text{QuantumGroups$\grave{ }$a}^{10}-\text{QuantumGroups$\grave{ }$a}^{10}+8 z^{11} \text{QuantumGroups$\grave{ }$a}^9+4 z^9 \text{QuantumGroups$\grave{ }$a}^9-36 z^7 \text{QuantumGroups$\grave{ }$a}^9+46 z^5 \text{QuantumGroups$\grave{ }$a}^9-25 z^3 \text{QuantumGroups$\grave{ }$a}^9+6 z \text{QuantumGroups$\grave{ }$a}^9+2 z^{12} \text{QuantumGroups$\grave{ }$a}^8+21 z^{10} \text{QuantumGroups$\grave{ }$a}^8-56 z^8 \text{QuantumGroups$\grave{ }$a}^8+61 z^6 \text{QuantumGroups$\grave{ }$a}^8-38 z^4 \text{QuantumGroups$\grave{ }$a}^8+14 z^2 \text{QuantumGroups$\grave{ }$a}^8-2 \text{QuantumGroups$\grave{ }$a}^8+13 z^{11} \text{QuantumGroups$\grave{ }$a}^7-18 z^9 \text{QuantumGroups$\grave{ }$a}^7+6 z^7 \text{QuantumGroups$\grave{ }$a}^7-2 z^3 \text{QuantumGroups$\grave{ }$a}^7+2 z^{12} \text{QuantumGroups$\grave{ }$a}^6+11 z^{10} \text{QuantumGroups$\grave{ }$a}^6-29 z^8 \text{QuantumGroups$\grave{ }$a}^6+34 z^6 \text{QuantumGroups$\grave{ }$a}^6-31 z^4 \text{QuantumGroups$\grave{ }$a}^6+12 z^2 \text{QuantumGroups$\grave{ }$a}^6-\text{QuantumGroups$\grave{ }$a}^6+5 z^{11} \text{QuantumGroups$\grave{ }$a}^5-7 z^9 \text{QuantumGroups$\grave{ }$a}^5+15 z^7 \text{QuantumGroups$\grave{ }$a}^5-26 z^5 \text{QuantumGroups$\grave{ }$a}^5+12 z^3 \text{QuantumGroups$\grave{ }$a}^5-2 z \text{QuantumGroups$\grave{ }$a}^5+4 z^{10} \text{QuantumGroups$\grave{ }$a}^4-5 z^8 \text{QuantumGroups$\grave{ }$a}^4+9 z^6 \text{QuantumGroups$\grave{ }$a}^4-20 z^4 \text{QuantumGroups$\grave{ }$a}^4+12 z^2 \text{QuantumGroups$\grave{ }$a}^4-\text{QuantumGroups$\grave{ }$a}^4+z^9 \text{QuantumGroups$\grave{ }$a}^3+5 z^7 \text{QuantumGroups$\grave{ }$a}^3-14 z^5 \text{QuantumGroups$\grave{ }$a}^3+8 z^3 \text{QuantumGroups$\grave{ }$a}^3+3 z^6 \text{QuantumGroups$\grave{ }$a}^2-8 z^4 \text{QuantumGroups$\grave{ }$a}^2+7 z^2 \text{QuantumGroups$\grave{ }$a}^2-2 \text{QuantumGroups$\grave{ }$a}^2 }[/math] |
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