K14n12599

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Polynomial invariants

Jones polynomial Data:K14n12599/Jones Polynomial
Alexander polynomial [math]\displaystyle{ t^3+3 t^2-15 t+23-15 t^{-1} +3 t^{-2} + t^{-3} }[/math]
Conway polynomial Data:K14n12599/Conway Polynomial
Determinant Data:K14n12599/Determinant
Signature Data:K14n12599/Signature
HOMFLY-PT polynomial [math]\displaystyle{ a^{14}-3 z^2 a^{12}-2 a^{12}+2 z^4 a^{10}+2 z^2 a^{10}+z^4 a^8-z^2 a^8-a^8+z^6 a^6+6 z^4 a^6+8 z^2 a^6+3 a^6 }[/math]
Kauffman polynomial [math]\displaystyle{ z^8 \text{QuantumGroups$\grave{ }$a}^{16}-5 z^6 \text{QuantumGroups$\grave{ }$a}^{16}+7 z^4 \text{QuantumGroups$\grave{ }$a}^{16}-3 z^2 \text{QuantumGroups$\grave{ }$a}^{16}+3 z^9 \text{QuantumGroups$\grave{ }$a}^{15}-15 z^7 \text{QuantumGroups$\grave{ }$a}^{15}+22 z^5 \text{QuantumGroups$\grave{ }$a}^{15}-14 z^3 \text{QuantumGroups$\grave{ }$a}^{15}+4 z \text{QuantumGroups$\grave{ }$a}^{15}+4 z^{10} \text{QuantumGroups$\grave{ }$a}^{14}-19 z^8 \text{QuantumGroups$\grave{ }$a}^{14}+23 z^6 \text{QuantumGroups$\grave{ }$a}^{14}-9 z^4 \text{QuantumGroups$\grave{ }$a}^{14}+2 z^2 \text{QuantumGroups$\grave{ }$a}^{14}-\text{QuantumGroups$\grave{ }$a}^{14}+2 z^{11} \text{QuantumGroups$\grave{ }$a}^{13}-4 z^9 \text{QuantumGroups$\grave{ }$a}^{13}-18 z^7 \text{QuantumGroups$\grave{ }$a}^{13}+41 z^5 \text{QuantumGroups$\grave{ }$a}^{13}-26 z^3 \text{QuantumGroups$\grave{ }$a}^{13}+7 z \text{QuantumGroups$\grave{ }$a}^{13}+8 z^{10} \text{QuantumGroups$\grave{ }$a}^{12}-43 z^8 \text{QuantumGroups$\grave{ }$a}^{12}+68 z^6 \text{QuantumGroups$\grave{ }$a}^{12}-45 z^4 \text{QuantumGroups$\grave{ }$a}^{12}+15 z^2 \text{QuantumGroups$\grave{ }$a}^{12}-2 \text{QuantumGroups$\grave{ }$a}^{12}+2 z^{11} \text{QuantumGroups$\grave{ }$a}^{11}-6 z^9 \text{QuantumGroups$\grave{ }$a}^{11}-8 z^7 \text{QuantumGroups$\grave{ }$a}^{11}+21 z^5 \text{QuantumGroups$\grave{ }$a}^{11}-5 z^3 \text{QuantumGroups$\grave{ }$a}^{11}-3 z \text{QuantumGroups$\grave{ }$a}^{11}+4 z^{10} \text{QuantumGroups$\grave{ }$a}^{10}-24 z^8 \text{QuantumGroups$\grave{ }$a}^{10}+44 z^6 \text{QuantumGroups$\grave{ }$a}^{10}-35 z^4 \text{QuantumGroups$\grave{ }$a}^{10}+9 z^2 \text{QuantumGroups$\grave{ }$a}^{10}+z^9 \text{QuantumGroups$\grave{ }$a}^9-5 z^7 \text{QuantumGroups$\grave{ }$a}^9+z^5 \text{QuantumGroups$\grave{ }$a}^9+7 z^3 \text{QuantumGroups$\grave{ }$a}^9-5 z \text{QuantumGroups$\grave{ }$a}^9-z^8 \text{QuantumGroups$\grave{ }$a}^8+5 z^6 \text{QuantumGroups$\grave{ }$a}^8-12 z^4 \text{QuantumGroups$\grave{ }$a}^8+8 z^2 \text{QuantumGroups$\grave{ }$a}^8-\text{QuantumGroups$\grave{ }$a}^8-z^5 \text{QuantumGroups$\grave{ }$a}^7+z \text{QuantumGroups$\grave{ }$a}^7+z^6 \text{QuantumGroups$\grave{ }$a}^6-6 z^4 \text{QuantumGroups$\grave{ }$a}^6+9 z^2 \text{QuantumGroups$\grave{ }$a}^6-3 \text{QuantumGroups$\grave{ }$a}^6 }[/math]



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