K14n13316

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Polynomial invariants

Jones polynomial Data:K14n13316/Jones Polynomial
Alexander polynomial [math]\displaystyle{ t^3-10 t^2+28 t-37+28 t^{-1} -10 t^{-2} + t^{-3} }[/math]
Conway polynomial Data:K14n13316/Conway Polynomial
Determinant Data:K14n13316/Determinant
Signature Data:K14n13316/Signature
HOMFLY-PT polynomial [math]\displaystyle{ z^4 a^6+3 z^2 a^6+a^6-z^6 a^4-6 z^4 a^4-6 z^2 a^4-a^4+z^6 a^2+z^4 a^2+z^6+z^4-z^4 a^{-2} + a^{-2} }[/math]
Kauffman polynomial [math]\displaystyle{ 2 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+2 \text{QuantumGroups$\grave{ }$a} z^{11}+\text{QuantumGroups$\grave{ }$a}^6 z^{10}+3 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+9 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+7 z^{10}+2 \text{QuantumGroups$\grave{ }$a}^7 z^9-4 \text{QuantumGroups$\grave{ }$a}^3 z^9+7 \text{QuantumGroups$\grave{ }$a} z^9+9 z^9 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^8 z^8-9 \text{QuantumGroups$\grave{ }$a}^6 z^8-19 \text{QuantumGroups$\grave{ }$a}^4 z^8-31 \text{QuantumGroups$\grave{ }$a}^2 z^8+5 z^8 $Failed^{-1} -17 z^8-14 \text{QuantumGroups$\grave{ }$a}^7 z^7-8 \text{QuantumGroups$\grave{ }$a}^5 z^7-6 \text{QuantumGroups$\grave{ }$a}^3 z^7-43 \text{QuantumGroups$\grave{ }$a} z^7-30 z^7 $Failed^{-1} +z^7 $Failed^{-1} -6 \text{QuantumGroups$\grave{ }$a}^8 z^6+17 \text{QuantumGroups$\grave{ }$a}^6 z^6+43 \text{QuantumGroups$\grave{ }$a}^4 z^6+32 \text{QuantumGroups$\grave{ }$a}^2 z^6-15 z^6 $Failed^{-1} -3 z^6+25 \text{QuantumGroups$\grave{ }$a}^7 z^5+27 \text{QuantumGroups$\grave{ }$a}^5 z^5+23 \text{QuantumGroups$\grave{ }$a}^3 z^5+47 \text{QuantumGroups$\grave{ }$a} z^5+24 z^5 $Failed^{-1} -2 z^5 $Failed^{-1} +9 \text{QuantumGroups$\grave{ }$a}^8 z^4-7 \text{QuantumGroups$\grave{ }$a}^6 z^4-32 \text{QuantumGroups$\grave{ }$a}^4 z^4-12 \text{QuantumGroups$\grave{ }$a}^2 z^4+9 z^4 $Failed^{-1} +13 z^4-14 \text{QuantumGroups$\grave{ }$a}^7 z^3-17 \text{QuantumGroups$\grave{ }$a}^5 z^3-17 \text{QuantumGroups$\grave{ }$a}^3 z^3-19 \text{QuantumGroups$\grave{ }$a} z^3-5 z^3 $Failed^{-1} -4 \text{QuantumGroups$\grave{ }$a}^8 z^2+3 \text{QuantumGroups$\grave{ }$a}^6 z^2+10 \text{QuantumGroups$\grave{ }$a}^4 z^2-\text{QuantumGroups$\grave{ }$a}^2 z^2+z^2 $Failed^{-1} -3 z^2+2 \text{QuantumGroups$\grave{ }$a}^7 z+3 \text{QuantumGroups$\grave{ }$a}^5 z+3 \text{QuantumGroups$\grave{ }$a}^3 z+2 \text{QuantumGroups$\grave{ }$a} z-\text{QuantumGroups$\grave{ }$a}^6-\text{QuantumGroups$\grave{ }$a}^4- $Failed^{-1} }[/math]



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