K14n12511

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Polynomial invariants

Jones polynomial Data:K14n12511/Jones Polynomial
Alexander polynomial [math]\displaystyle{ t^4-3 t^3+13 t-21+13 t^{-1} -3 t^{-3} + t^{-4} }[/math]
Conway polynomial Data:K14n12511/Conway Polynomial
Determinant Data:K14n12511/Determinant
Signature Data:K14n12511/Signature
HOMFLY-PT polynomial [math]\displaystyle{ z^8 a^{-2} +6 z^6 a^{-2} -z^6+10 z^4 a^{-2} -2 z^4 a^{-4} -2 z^4 a^{-6} -4 z^4+7 z^2 a^{-2} -z^2 a^{-4} -2 z^2 a^{-6} +z^2 a^{-8} -3 z^2+ a^{-2} + a^{-4} - a^{-6} }[/math]
Kauffman polynomial [math]\displaystyle{ z^{12} $Failed^{-1} +z^{12} $Failed^{-1} +3 z^{11} $Failed^{-1} +4 z^{11} $Failed^{-1} +z^{11} $Failed^{-1} -3 z^{10} $Failed^{-1} -6 z^{10} $Failed^{-1} +3 z^{10}+\text{QuantumGroups$\grave{ }$a} z^9-20 z^9 $Failed^{-1} -31 z^9 $Failed^{-1} -8 z^9 $Failed^{-1} +2 z^9 $Failed^{-1} -17 z^8 $Failed^{-1} +4 z^8 $Failed^{-1} +6 z^8 $Failed^{-1} +5 z^8 $Failed^{-1} -20 z^8-6 \text{QuantumGroups$\grave{ }$a} z^7+37 z^7 $Failed^{-1} +69 z^7 $Failed^{-1} +25 z^7 $Failed^{-1} +3 z^7 $Failed^{-1} +4 z^7 $Failed^{-1} +58 z^6 $Failed^{-1} +16 z^6 $Failed^{-1} -15 z^6 $Failed^{-1} -12 z^6 $Failed^{-1} +z^6 $Failed^{-1} +40 z^6+10 \text{QuantumGroups$\grave{ }$a} z^5-23 z^5 $Failed^{-1} -56 z^5 $Failed^{-1} -34 z^5 $Failed^{-1} -22 z^5 $Failed^{-1} -11 z^5 $Failed^{-1} -48 z^4 $Failed^{-1} -16 z^4 $Failed^{-1} +7 z^4 $Failed^{-1} +3 z^4 $Failed^{-1} -2 z^4 $Failed^{-1} -30 z^4-5 \text{QuantumGroups$\grave{ }$a} z^3+6 z^3 $Failed^{-1} +23 z^3 $Failed^{-1} +20 z^3 $Failed^{-1} +15 z^3 $Failed^{-1} +7 z^3 $Failed^{-1} +14 z^2 $Failed^{-1} +3 z^2 $Failed^{-1} -4 z^2 $Failed^{-1} +z^2 $Failed^{-1} +z^2 $Failed^{-1} +7 z^2-z $Failed^{-1} -3 z $Failed^{-1} -5 z $Failed^{-1} -3 z $Failed^{-1} - $Failed^{-1} + $Failed^{-1} + $Failed^{-1} }[/math]



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