K14n12162

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n12162

Polynomial invariants

Jones polynomial	Data:K14n12162/Jones Polynomial
Alexander polynomial	$-t^{4}+5t^{3}-9t^{2}+7t-3+7t^{-1}-9t^{-2}+5t^{-3}-t^{-4}$
Conway polynomial	Data:K14n12162/Conway Polynomial
Determinant	Data:K14n12162/Determinant
Signature	Data:K14n12162/Signature
HOMFLY-PT polynomial	$-z^{8}+a^{2}z^{6}+z^{6}a^{-2}-5z^{6}+a^{4}z^{4}+5a^{2}z^{4}+3z^{4}a^{-2}-8z^{4}-a^{6}z^{2}+6a^{2}z^{2}+2z^{2}a^{-2}-7z^{2}-a^{4}+3a^{2}+a^{-2}-2$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle \text{QuantumGroups$\grave{ }$a}^2 z^{12}+z^{12}+\text{QuantumGroups$\grave{ }$a}^3 z^{11}+5 \text{QuantumGroups$\grave{ }$a} z^{11}+4 z^{11} $Failed^{-1} -3 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+6 z^{10} $Failed^{-1} +3 z^{10}+2 \text{QuantumGroups$\grave{ }$a}^5 z^9-7 \text{QuantumGroups$\grave{ }$a}^3 z^9-28 \text{QuantumGroups$\grave{ }$a} z^9-15 z^9 $Failed^{-1} +4 z^9 $Failed^{-1} +3 \text{QuantumGroups$\grave{ }$a}^6 z^8+\text{QuantumGroups$\grave{ }$a}^4 z^8-13 \text{QuantumGroups$\grave{ }$a}^2 z^8-28 z^8 $Failed^{-1} +z^8 $Failed^{-1} -40 z^8+\text{QuantumGroups$\grave{ }$a}^7 z^7-9 \text{QuantumGroups$\grave{ }$a}^5 z^7+8 \text{QuantumGroups$\grave{ }$a}^3 z^7+36 \text{QuantumGroups$\grave{ }$a} z^7-18 z^7 $Failed^{-1} -14 \text{QuantumGroups$\grave{ }$a}^6 z^6-13 \text{QuantumGroups$\grave{ }$a}^4 z^6+37 \text{QuantumGroups$\grave{ }$a}^2 z^6+33 z^6 $Failed^{-1} -4 z^6 $Failed^{-1} +73 z^6-4 \text{QuantumGroups$\grave{ }$a}^7 z^5+3 \text{QuantumGroups$\grave{ }$a}^5 z^5-5 \text{QuantumGroups$\grave{ }$a}^3 z^5-9 \text{QuantumGroups$\grave{ }$a} z^5+24 z^5 $Failed^{-1} +21 z^5 $Failed^{-1} +15 \text{QuantumGroups$\grave{ }$a}^6 z^4+13 \text{QuantumGroups$\grave{ }$a}^4 z^4-34 \text{QuantumGroups$\grave{ }$a}^2 z^4-14 z^4 $Failed^{-1} +4 z^4 $Failed^{-1} -50 z^4+4 \text{QuantumGroups$\grave{ }$a}^7 z^3+5 \text{QuantumGroups$\grave{ }$a}^5 z^3+3 \text{QuantumGroups$\grave{ }$a}^3 z^3-4 \text{QuantumGroups$\grave{ }$a} z^3-14 z^3 $Failed^{-1} -8 z^3 $Failed^{-1} -4 \text{QuantumGroups$\grave{ }$a}^6 z^2-\text{QuantumGroups$\grave{ }$a}^4 z^2+15 \text{QuantumGroups$\grave{ }$a}^2 z^2+4 z^2 $Failed^{-1} -z^2 $Failed^{-1} +17 z^2-\text{QuantumGroups$\grave{ }$a}^7 z-2 \text{QuantumGroups$\grave{ }$a}^5 z-\text{QuantumGroups$\grave{ }$a}^3 z+\text{QuantumGroups$\grave{ }$a} z+2 z $Failed^{-1} +z $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^4-3 \text{QuantumGroups$\grave{ }$a}^2- $Failed^{-1} -2}

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