K14n18033

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Polynomial invariants

Jones polynomial Data:K14n18033/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -2 t^4+9 t^3-23 t^2+41 t-49+41 t^{-1} -23 t^{-2} +9 t^{-3} -2 t^{-4} }[/math]
Conway polynomial Data:K14n18033/Conway Polynomial
Determinant Data:K14n18033/Determinant
Signature Data:K14n18033/Signature
HOMFLY-PT polynomial [math]\displaystyle{ -z^8 a^{-2} -z^8 a^{-4} -5 z^6 a^{-2} -4 z^6 a^{-4} +z^6 a^{-6} +z^6-11 z^4 a^{-2} -5 z^4 a^{-4} +3 z^4 a^{-6} +4 z^4-11 z^2 a^{-2} +3 z^2 a^{-6} +6 z^2-4 a^{-2} +2 a^{-4} +3 }[/math]
Kauffman polynomial [math]\displaystyle{ z^{12} $Failed^{-1} +z^{12} $Failed^{-1} +z^{11} $Failed^{-1} +6 z^{11} $Failed^{-1} +5 z^{11} $Failed^{-1} +10 z^{10} $Failed^{-1} +10 z^{10} $Failed^{-1} -15 z^9 $Failed^{-1} -4 z^9 $Failed^{-1} +11 z^9 $Failed^{-1} +3 z^8 $Failed^{-1} -36 z^8 $Failed^{-1} -25 z^8 $Failed^{-1} +8 z^8 $Failed^{-1} +6 z^8+3 \text{QuantumGroups$\grave{ }$a} z^7+2 z^7 $Failed^{-1} +18 z^7 $Failed^{-1} -11 z^7 $Failed^{-1} -26 z^7 $Failed^{-1} +4 z^7 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^2 z^6-11 z^6 $Failed^{-1} +52 z^6 $Failed^{-1} +29 z^6 $Failed^{-1} -16 z^6 $Failed^{-1} +z^6 $Failed^{-1} -16 z^6-8 \text{QuantumGroups$\grave{ }$a} z^5-6 z^5 $Failed^{-1} -2 z^5 $Failed^{-1} +26 z^5 $Failed^{-1} +22 z^5 $Failed^{-1} -8 z^5 $Failed^{-1} -3 \text{QuantumGroups$\grave{ }$a}^2 z^4+22 z^4 $Failed^{-1} -24 z^4 $Failed^{-1} -20 z^4 $Failed^{-1} +6 z^4 $Failed^{-1} -2 z^4 $Failed^{-1} +15 z^4+5 \text{QuantumGroups$\grave{ }$a} z^3+2 z^3 $Failed^{-1} -3 z^3 $Failed^{-1} -16 z^3 $Failed^{-1} -13 z^3 $Failed^{-1} +3 z^3 $Failed^{-1} +2 \text{QuantumGroups$\grave{ }$a}^2 z^2-18 z^2 $Failed^{-1} +z^2 $Failed^{-1} +5 z^2 $Failed^{-1} -z^2 $Failed^{-1} +z^2 $Failed^{-1} -10 z^2-\text{QuantumGroups$\grave{ }$a} z-z $Failed^{-1} +z $Failed^{-1} +3 z $Failed^{-1} +2 z $Failed^{-1} +4 $Failed^{-1} +2 $Failed^{-1} +3 }[/math]



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