K14n13366

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n13366

Polynomial invariants

Jones polynomial	Data:K14n13366/Jones Polynomial
Alexander polynomial	$t^{4}-8t^{3}+28t^{2}-55t+69-55t^{-1}+28t^{-2}-8t^{-3}+t^{-4}$
Conway polynomial	Data:K14n13366/Conway Polynomial
Determinant	Data:K14n13366/Determinant
Signature	Data:K14n13366/Signature
HOMFLY-PT polynomial	$z^{8}a^{-2}+4z^{6}a^{-2}-z^{6}a^{-4}-3z^{6}+3a^{2}z^{4}+7z^{4}a^{-2}-2z^{4}a^{-4}-8z^{4}-a^{4}z^{2}+5a^{2}z^{2}+4z^{2}a^{-2}-z^{2}a^{-4}-6z^{2}-a^{4}+2a^{2}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 z^{12} $Failed^{-1} +2 z^{12}+5 \text{QuantumGroups$\grave{ }$a} z^{11}+13 z^{11} $Failed^{-1} +8 z^{11} $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+18 z^{10} $Failed^{-1} +13 z^{10} $Failed^{-1} +9 z^{10}+\text{QuantumGroups$\grave{ }$a}^3 z^9-13 \text{QuantumGroups$\grave{ }$a} z^9-33 z^9 $Failed^{-1} -8 z^9 $Failed^{-1} +11 z^9 $Failed^{-1} -11 \text{QuantumGroups$\grave{ }$a}^2 z^8-76 z^8 $Failed^{-1} -37 z^8 $Failed^{-1} +5 z^8 $Failed^{-1} -45 z^8+3 \text{QuantumGroups$\grave{ }$a}^3 z^7+24 \text{QuantumGroups$\grave{ }$a} z^7+24 z^7 $Failed^{-1} -31 z^7 $Failed^{-1} -33 z^7 $Failed^{-1} +z^7 $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^4 z^6+30 \text{QuantumGroups$\grave{ }$a}^2 z^6+100 z^6 $Failed^{-1} +28 z^6 $Failed^{-1} -13 z^6 $Failed^{-1} +85 z^6+\text{QuantumGroups$\grave{ }$a}^5 z^5-2 \text{QuantumGroups$\grave{ }$a}^3 z^5-12 \text{QuantumGroups$\grave{ }$a} z^5+9 z^5 $Failed^{-1} +46 z^5 $Failed^{-1} +26 z^5 $Failed^{-1} -2 z^5 $Failed^{-1} -7 \text{QuantumGroups$\grave{ }$a}^4 z^4-32 \text{QuantumGroups$\grave{ }$a}^2 z^4-56 z^4 $Failed^{-1} -10 z^4 $Failed^{-1} +6 z^4 $Failed^{-1} -65 z^4-2 \text{QuantumGroups$\grave{ }$a}^5 z^3-2 \text{QuantumGroups$\grave{ }$a}^3 z^3-\text{QuantumGroups$\grave{ }$a} z^3-11 z^3 $Failed^{-1} -17 z^3 $Failed^{-1} -7 z^3 $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^4 z^2+13 \text{QuantumGroups$\grave{ }$a}^2 z^2+12 z^2 $Failed^{-1} +3 z^2 $Failed^{-1} +18 z^2+\text{QuantumGroups$\grave{ }$a}^5 z+\text{QuantumGroups$\grave{ }$a}^3 z-\text{QuantumGroups$\grave{ }$a}^4-2 \text{QuantumGroups$\grave{ }$a}^2}

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