K14n17462

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Polynomial invariants

Jones polynomial Data:K14n17462/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -t^4+9 t^3-34 t^2+71 t-89+71 t^{-1} -34 t^{-2} +9 t^{-3} - t^{-4} }[/math]
Conway polynomial Data:K14n17462/Conway Polynomial
Determinant Data:K14n17462/Determinant
Signature Data:K14n17462/Signature
HOMFLY-PT polynomial [math]\displaystyle{ -z^8 a^{-4} +4 z^6 a^{-2} -4 z^6 a^{-4} +z^6 a^{-6} +12 z^4 a^{-2} -9 z^4 a^{-4} +2 z^4 a^{-6} -5 z^4+2 a^2 z^2+14 z^2 a^{-2} -8 z^2 a^{-4} +2 z^2 a^{-6} -10 z^2+2 a^2+6 a^{-2} -2 a^{-4} -5 }[/math]
Kauffman polynomial [math]\displaystyle{ 2 z^{12} $Failed^{-1} +2 z^{12} $Failed^{-1} +5 z^{11} $Failed^{-1} +14 z^{11} $Failed^{-1} +9 z^{11} $Failed^{-1} +12 z^{10} $Failed^{-1} +25 z^{10} $Failed^{-1} +17 z^{10} $Failed^{-1} +4 z^{10}+\text{QuantumGroups$\grave{ }$a} z^9-9 z^9 $Failed^{-1} -22 z^9 $Failed^{-1} +6 z^9 $Failed^{-1} +18 z^9 $Failed^{-1} -38 z^8 $Failed^{-1} -69 z^8 $Failed^{-1} -26 z^8 $Failed^{-1} +12 z^8 $Failed^{-1} -7 z^8+5 \text{QuantumGroups$\grave{ }$a} z^7+25 z^7 $Failed^{-1} +16 z^7 $Failed^{-1} -42 z^7 $Failed^{-1} -33 z^7 $Failed^{-1} +5 z^7 $Failed^{-1} +3 \text{QuantumGroups$\grave{ }$a}^2 z^6+66 z^6 $Failed^{-1} +82 z^6 $Failed^{-1} +10 z^6 $Failed^{-1} -20 z^6 $Failed^{-1} +z^6 $Failed^{-1} +18 z^6-16 \text{QuantumGroups$\grave{ }$a} z^5-43 z^5 $Failed^{-1} -11 z^5 $Failed^{-1} +42 z^5 $Failed^{-1} +19 z^5 $Failed^{-1} -7 z^5 $Failed^{-1} -8 \text{QuantumGroups$\grave{ }$a}^2 z^4-74 z^4 $Failed^{-1} -58 z^4 $Failed^{-1} -2 z^4 $Failed^{-1} +9 z^4 $Failed^{-1} -z^4 $Failed^{-1} -36 z^4+13 \text{QuantumGroups$\grave{ }$a} z^3+26 z^3 $Failed^{-1} +4 z^3 $Failed^{-1} -15 z^3 $Failed^{-1} -4 z^3 $Failed^{-1} +2 z^3 $Failed^{-1} +7 \text{QuantumGroups$\grave{ }$a}^2 z^2+37 z^2 $Failed^{-1} +21 z^2 $Failed^{-1} +2 z^2 $Failed^{-1} -z^2 $Failed^{-1} +26 z^2-3 \text{QuantumGroups$\grave{ }$a} z-5 z $Failed^{-1} -z $Failed^{-1} +z $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^2-6 $Failed^{-1} -2 $Failed^{-1} -5 }[/math]



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