K14n17877

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Polynomial invariants

Jones polynomial Data:K14n17877/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -t^4+3 t^3+t^2-14 t+23-14 t^{-1} + t^{-2} +3 t^{-3} - t^{-4} }[/math]
Conway polynomial Data:K14n17877/Conway Polynomial
Determinant Data:K14n17877/Determinant
Signature Data:K14n17877/Signature
HOMFLY-PT polynomial [math]\displaystyle{ -z^8+2 a^2 z^6-7 z^6-a^4 z^4+11 a^2 z^4+2 z^4 a^{-2} +z^4 a^{-4} -14 z^4-4 a^4 z^2+14 a^2 z^2+2 z^2 a^{-2} +z^2 a^{-4} -12 z^2-2 a^4+5 a^2+ a^{-2} -3 }[/math]
Kauffman polynomial [math]\displaystyle{ \text{QuantumGroups$\grave{ }$a}^3 z^{11}+\text{QuantumGroups$\grave{ }$a} z^{11}+2 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+3 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+z^{10} $Failed^{-1} +2 z^{10}+\text{QuantumGroups$\grave{ }$a}^5 z^9-6 \text{QuantumGroups$\grave{ }$a}^3 z^9-7 \text{QuantumGroups$\grave{ }$a} z^9+3 z^9 $Failed^{-1} +3 z^9 $Failed^{-1} -15 \text{QuantumGroups$\grave{ }$a}^4 z^8-26 \text{QuantumGroups$\grave{ }$a}^2 z^8+4 z^8 $Failed^{-1} -15 z^8-7 \text{QuantumGroups$\grave{ }$a}^5 z^7+4 \text{QuantumGroups$\grave{ }$a}^3 z^7+10 \text{QuantumGroups$\grave{ }$a} z^7-12 z^7 $Failed^{-1} -8 z^7 $Failed^{-1} +3 z^7 $Failed^{-1} +35 \text{QuantumGroups$\grave{ }$a}^4 z^6+68 \text{QuantumGroups$\grave{ }$a}^2 z^6-7 z^6 $Failed^{-1} -13 z^6 $Failed^{-1} +z^6 $Failed^{-1} +40 z^6+15 \text{QuantumGroups$\grave{ }$a}^5 z^5+17 \text{QuantumGroups$\grave{ }$a}^3 z^5+8 \text{QuantumGroups$\grave{ }$a} z^5+18 z^5 $Failed^{-1} +2 z^5 $Failed^{-1} -10 z^5 $Failed^{-1} -32 \text{QuantumGroups$\grave{ }$a}^4 z^4-68 \text{QuantumGroups$\grave{ }$a}^2 z^4+8 z^4 $Failed^{-1} +10 z^4 $Failed^{-1} -3 z^4 $Failed^{-1} -41 z^4-12 \text{QuantumGroups$\grave{ }$a}^5 z^3-21 \text{QuantumGroups$\grave{ }$a}^3 z^3-14 \text{QuantumGroups$\grave{ }$a} z^3-8 z^3 $Failed^{-1} +4 z^3 $Failed^{-1} +7 z^3 $Failed^{-1} +12 \text{QuantumGroups$\grave{ }$a}^4 z^2+29 \text{QuantumGroups$\grave{ }$a}^2 z^2-2 z^2 $Failed^{-1} -3 z^2 $Failed^{-1} +z^2 $Failed^{-1} +19 z^2+3 \text{QuantumGroups$\grave{ }$a}^5 z+6 \text{QuantumGroups$\grave{ }$a}^3 z+4 \text{QuantumGroups$\grave{ }$a} z-2 z $Failed^{-1} -z $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^4-5 \text{QuantumGroups$\grave{ }$a}^2- $Failed^{-1} -3 }[/math]



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