K14n11394

Knot presentations

Dowker-Thistlethwaite code

4 10 16 22 12 2 -24 28 8 26 6 18 -14 20

Notes on presentations of K14n11394

Polynomial invariants

Jones polynomial	Data:K14n11394/Jones Polynomial
Alexander polynomial	$-t^{4}+8t^{3}-27t^{2}+55t-69+55t^{-1}-27t^{-2}+8t^{-3}-t^{-4}$
Conway polynomial	Data:K14n11394/Conway Polynomial
Determinant	Data:K14n11394/Determinant
Signature	Data:K14n11394/Signature
HOMFLY-PT polynomial	$-z^{8}a^{-4}+2z^{6}a^{-2}-4z^{6}a^{-4}+2z^{6}a^{-6}+6z^{4}a^{-2}-8z^{4}a^{-4}+5z^{4}a^{-6}-z^{4}a^{-8}-z^{4}+8z^{2}a^{-2}-7z^{2}a^{-4}+5z^{2}a^{-6}-z^{2}a^{-8}-2z^{2}+4a^{-2}-3a^{-4}+2a^{-6}-a^{-8}-1$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 z^{12} $Failed^{-1} +2 z^{12} $Failed^{-1} +4 z^{11} $Failed^{-1} +12 z^{11} $Failed^{-1} +8 z^{11} $Failed^{-1} +3 z^{10} $Failed^{-1} +5 z^{10} $Failed^{-1} +15 z^{10} $Failed^{-1} +13 z^{10} $Failed^{-1} +z^9 $Failed^{-1} -9 z^9 $Failed^{-1} -31 z^9 $Failed^{-1} -10 z^9 $Failed^{-1} +11 z^9 $Failed^{-1} -6 z^8 $Failed^{-1} -23 z^8 $Failed^{-1} -57 z^8 $Failed^{-1} -35 z^8 $Failed^{-1} +5 z^8 $Failed^{-1} +2 z^7 $Failed^{-1} +20 z^7 $Failed^{-1} +35 z^7 $Failed^{-1} -14 z^7 $Failed^{-1} -30 z^7 $Failed^{-1} +z^7 $Failed^{-1} +20 z^6 $Failed^{-1} +45 z^6 $Failed^{-1} +67 z^6 $Failed^{-1} +26 z^6 $Failed^{-1} -12 z^6 $Failed^{-1} +4 z^6+\text{QuantumGroups$\grave{ }$a} z^5+z^5 $Failed^{-1} -13 z^5 $Failed^{-1} -20 z^5 $Failed^{-1} +15 z^5 $Failed^{-1} +20 z^5 $Failed^{-1} -2 z^5 $Failed^{-1} -24 z^4 $Failed^{-1} -38 z^4 $Failed^{-1} -40 z^4 $Failed^{-1} -13 z^4 $Failed^{-1} +6 z^4 $Failed^{-1} -7 z^4-2 \text{QuantumGroups$\grave{ }$a} z^3-5 z^3 $Failed^{-1} +2 z^3 $Failed^{-1} +6 z^3 $Failed^{-1} -5 z^3 $Failed^{-1} -5 z^3 $Failed^{-1} +z^3 $Failed^{-1} +14 z^2 $Failed^{-1} +17 z^2 $Failed^{-1} +13 z^2 $Failed^{-1} +6 z^2 $Failed^{-1} +4 z^2+\text{QuantumGroups$\grave{ }$a} z+2 z $Failed^{-1} +z $Failed^{-1} -z $Failed^{-1} +z $Failed^{-1} +2 z $Failed^{-1} -4 $Failed^{-1} -3 $Failed^{-1} -2 $Failed^{-1} - $Failed^{-1} -1}

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