K14n13106

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Polynomial invariants

Jones polynomial Data:K14n13106/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -3 t^3+17 t^2-43 t+59-43 t^{-1} +17 t^{-2} -3 t^{-3} }[/math]
Conway polynomial Data:K14n13106/Conway Polynomial
Determinant Data:K14n13106/Determinant
Signature Data:K14n13106/Signature
HOMFLY-PT polynomial [math]\displaystyle{ -z^6 a^{-2} -2 z^6+3 a^2 z^4+z^4 a^{-4} -5 z^4-a^4 z^2+4 a^2 z^2+2 z^2 a^{-2} -7 z^2+2 a^2+2 a^{-2} -3 }[/math]
Kauffman polynomial [math]\displaystyle{ \text{QuantumGroups$\grave{ }$a}^2 z^{12}+z^{12}+\text{QuantumGroups$\grave{ }$a}^3 z^{11}+6 \text{QuantumGroups$\grave{ }$a} z^{11}+5 z^{11} $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+11 z^{10} $Failed^{-1} +9 z^{10}-6 \text{QuantumGroups$\grave{ }$a}^3 z^9-24 \text{QuantumGroups$\grave{ }$a} z^9-4 z^9 $Failed^{-1} +14 z^9 $Failed^{-1} -3 \text{QuantumGroups$\grave{ }$a}^2 z^8-26 z^8 $Failed^{-1} +11 z^8 $Failed^{-1} -40 z^8+20 \text{QuantumGroups$\grave{ }$a}^3 z^7+47 \text{QuantumGroups$\grave{ }$a} z^7-12 z^7 $Failed^{-1} -34 z^7 $Failed^{-1} +5 z^7 $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^4 z^6+31 \text{QuantumGroups$\grave{ }$a}^2 z^6+22 z^6 $Failed^{-1} -23 z^6 $Failed^{-1} +z^6 $Failed^{-1} +73 z^6-21 \text{QuantumGroups$\grave{ }$a}^3 z^5-31 \text{QuantumGroups$\grave{ }$a} z^5+20 z^5 $Failed^{-1} +22 z^5 $Failed^{-1} -8 z^5 $Failed^{-1} -8 \text{QuantumGroups$\grave{ }$a}^4 z^4-40 \text{QuantumGroups$\grave{ }$a}^2 z^4-14 z^4 $Failed^{-1} +7 z^4 $Failed^{-1} -z^4 $Failed^{-1} -54 z^4+4 \text{QuantumGroups$\grave{ }$a}^3 z^3+8 \text{QuantumGroups$\grave{ }$a} z^3-2 z^3 $Failed^{-1} -6 z^3 $Failed^{-1} +3 \text{QuantumGroups$\grave{ }$a}^4 z^2+15 \text{QuantumGroups$\grave{ }$a}^2 z^2+9 z^2 $Failed^{-1} +21 z^2-2 \text{QuantumGroups$\grave{ }$a} z-2 z $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^2-2 $Failed^{-1} -3 }[/math]



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