K14n6107

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n6107

Polynomial invariants

Jones polynomial	Data:K14n6107/Jones Polynomial
Alexander polynomial	$-t^{4}+7t^{3}-22t^{2}+42t-51+42t^{-1}-22t^{-2}+7t^{-3}-t^{-4}$
Conway polynomial	Data:K14n6107/Conway Polynomial
Determinant	Data:K14n6107/Determinant
Signature	Data:K14n6107/Signature
HOMFLY-PT polynomial	$-a^{2}z^{8}+a^{4}z^{6}-3a^{2}z^{6}+z^{6}-a^{4}z^{4}+z^{4}+2a^{6}z^{2}-8a^{4}z^{2}+9a^{2}z^{2}-2z^{2}+2a^{6}-7a^{4}+8a^{2}-2$
Kauffman polynomial	Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \text{QuantumGroups$\grave{ }$a}^5 z^{11}+\text{QuantumGroups$\grave{ }$a}^3 z^{11}+\text{QuantumGroups$\grave{ }$a}^6 z^{10}+8 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+7 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+7 \text{QuantumGroups$\grave{ }$a}^5 z^9+22 \text{QuantumGroups$\grave{ }$a}^3 z^9+15 \text{QuantumGroups$\grave{ }$a} z^9+4 \text{QuantumGroups$\grave{ }$a}^6 z^8+10 \text{QuantumGroups$\grave{ }$a}^2 z^8+14 z^8+3 \text{QuantumGroups$\grave{ }$a}^7 z^7-11 \text{QuantumGroups$\grave{ }$a}^5 z^7-44 \text{QuantumGroups$\grave{ }$a}^3 z^7-24 \text{QuantumGroups$\grave{ }$a} z^7+6 z^7 $Failed^{-1} -14 \text{QuantumGroups$\grave{ }$a}^4 z^6-41 \text{QuantumGroups$\grave{ }$a}^2 z^6+z^6 $Failed^{-1} -26 z^6+8 \text{QuantumGroups$\grave{ }$a}^7 z^5+24 \text{QuantumGroups$\grave{ }$a}^5 z^5+28 \text{QuantumGroups$\grave{ }$a}^3 z^5+5 \text{QuantumGroups$\grave{ }$a} z^5-7 z^5 $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^8 z^4+5 \text{QuantumGroups$\grave{ }$a}^6 z^4+2 \text{QuantumGroups$\grave{ }$a}^4 z^4+11 \text{QuantumGroups$\grave{ }$a}^2 z^4+9 z^4-12 \text{QuantumGroups$\grave{ }$a}^7 z^3-29 \text{QuantumGroups$\grave{ }$a}^5 z^3-25 \text{QuantumGroups$\grave{ }$a}^3 z^3-8 \text{QuantumGroups$\grave{ }$a} z^3-4 \text{QuantumGroups$\grave{ }$a}^8 z^2-2 \text{QuantumGroups$\grave{ }$a}^6 z^2+11 \text{QuantumGroups$\grave{ }$a}^4 z^2+13 \text{QuantumGroups$\grave{ }$a}^2 z^2+4 z^2+5 \text{QuantumGroups$\grave{ }$a}^7 z+14 \text{QuantumGroups$\grave{ }$a}^5 z+14 \text{QuantumGroups$\grave{ }$a}^3 z+7 \text{QuantumGroups$\grave{ }$a} z+2 z $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^6-7 \text{QuantumGroups$\grave{ }$a}^4-8 \text{QuantumGroups$\grave{ }$a}^2-2}

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