K14n13122

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n13122

Polynomial invariants

Jones polynomial	Data:K14n13122/Jones Polynomial
Alexander polynomial	$-3t^{3}+17t^{2}-41t+55-41t^{-1}+17t^{-2}-3t^{-3}$
Conway polynomial	Data:K14n13122/Conway Polynomial
Determinant	Data:K14n13122/Determinant
Signature	Data:K14n13122/Signature
HOMFLY-PT polynomial	$z^{4}a^{6}+z^{2}a^{6}-z^{6}a^{4}-z^{4}a^{4}+a^{4}-2z^{6}a^{2}-5z^{4}a^{2}-6z^{2}a^{2}-3a^{2}+4z^{4}+7z^{2}+4-2z^{2}a^{-2}-a^{-2}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle \text{QuantumGroups$\grave{ }$a}^4 z^{12}+\text{QuantumGroups$\grave{ }$a}^2 z^{12}+4 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+7 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+3 \text{QuantumGroups$\grave{ }$a} z^{11}+6 \text{QuantumGroups$\grave{ }$a}^6 z^{10}+11 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+8 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+3 z^{10}+4 \text{QuantumGroups$\grave{ }$a}^7 z^9-4 \text{QuantumGroups$\grave{ }$a}^5 z^9-12 \text{QuantumGroups$\grave{ }$a}^3 z^9-3 \text{QuantumGroups$\grave{ }$a} z^9+z^9 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^8 z^8-22 \text{QuantumGroups$\grave{ }$a}^6 z^8-48 \text{QuantumGroups$\grave{ }$a}^4 z^8-31 \text{QuantumGroups$\grave{ }$a}^2 z^8-6 z^8-17 \text{QuantumGroups$\grave{ }$a}^7 z^7-28 \text{QuantumGroups$\grave{ }$a}^5 z^7-19 \text{QuantumGroups$\grave{ }$a}^3 z^7-8 \text{QuantumGroups$\grave{ }$a} z^7-4 \text{QuantumGroups$\grave{ }$a}^8 z^6+21 \text{QuantumGroups$\grave{ }$a}^6 z^6+47 \text{QuantumGroups$\grave{ }$a}^4 z^6+25 \text{QuantumGroups$\grave{ }$a}^2 z^6+z^6 $Failed^{-1} +4 z^6+23 \text{QuantumGroups$\grave{ }$a}^7 z^5+45 \text{QuantumGroups$\grave{ }$a}^5 z^5+32 \text{QuantumGroups$\grave{ }$a}^3 z^5+13 \text{QuantumGroups$\grave{ }$a} z^5+3 z^5 $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^8 z^4-4 \text{QuantumGroups$\grave{ }$a}^6 z^4-15 \text{QuantumGroups$\grave{ }$a}^4 z^4+5 z^4 $Failed^{-1} +11 z^4-11 \text{QuantumGroups$\grave{ }$a}^7 z^3-20 \text{QuantumGroups$\grave{ }$a}^5 z^3-12 \text{QuantumGroups$\grave{ }$a}^3 z^3-3 \text{QuantumGroups$\grave{ }$a} z^3+2 z^3 $Failed^{-1} +2 z^3 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^8 z^2-\text{QuantumGroups$\grave{ }$a}^6 z^2-9 \text{QuantumGroups$\grave{ }$a}^2 z^2-5 z^2 $Failed^{-1} -13 z^2+\text{QuantumGroups$\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} +4}

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