K14n17463

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Polynomial invariants

Jones polynomial Data:K14n17463/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -2 t^3+12 t^2-32 t+45-32 t^{-1} +12 t^{-2} -2 t^{-3} }[/math]
Conway polynomial Data:K14n17463/Conway Polynomial
Determinant Data:K14n17463/Determinant
Signature Data:K14n17463/Signature
HOMFLY-PT polynomial [math]\displaystyle{ -z^6 a^{-2} -z^6 a^{-4} -2 z^4 a^{-2} -z^4 a^{-4} +2 z^4 a^{-6} +z^4-3 z^2 a^{-2} +2 z^2 a^{-6} -z^2 a^{-8} +a^2- a^{-2} + a^{-4} }[/math]
Kauffman polynomial [math]\displaystyle{ 2 z^{12} $Failed^{-1} +2 z^{12} $Failed^{-1} +5 z^{11} $Failed^{-1} +10 z^{11} $Failed^{-1} +5 z^{11} $Failed^{-1} +6 z^{10} $Failed^{-1} +2 z^{10} $Failed^{-1} +4 z^{10} $Failed^{-1} +5 z^9 $Failed^{-1} -15 z^9 $Failed^{-1} -46 z^9 $Failed^{-1} -25 z^9 $Failed^{-1} +z^9 $Failed^{-1} -21 z^8 $Failed^{-1} -37 z^8 $Failed^{-1} -36 z^8 $Failed^{-1} -22 z^8 $Failed^{-1} +2 z^8-20 z^7 $Failed^{-1} +62 z^7 $Failed^{-1} +37 z^7 $Failed^{-1} -5 z^7 $Failed^{-1} +14 z^6 $Failed^{-1} +56 z^6 $Failed^{-1} +74 z^6 $Failed^{-1} +39 z^6 $Failed^{-1} -7 z^6+\text{QuantumGroups$\grave{ }$a} z^5+25 z^5 $Failed^{-1} +16 z^5 $Failed^{-1} -32 z^5 $Failed^{-1} -16 z^5 $Failed^{-1} +8 z^5 $Failed^{-1} +4 z^4 $Failed^{-1} -29 z^4 $Failed^{-1} -48 z^4 $Failed^{-1} -24 z^4 $Failed^{-1} +9 z^4-12 z^3 $Failed^{-1} -11 z^3 $Failed^{-1} +6 z^3 $Failed^{-1} +z^3 $Failed^{-1} -4 z^3 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^2 z^2-6 z^2 $Failed^{-1} +3 z^2 $Failed^{-1} +10 z^2 $Failed^{-1} +4 z^2 $Failed^{-1} -2 z^2+2 z $Failed^{-1} +2 z $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^2+ $Failed^{-1} + $Failed^{-1} }[/math]



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