K14n10522

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n10522

Polynomial invariants

Jones polynomial	Data:K14n10522/Jones Polynomial
Alexander polynomial	$-t^{4}+5t^{3}-11t^{2}+14t-13+14t^{-1}-11t^{-2}+5t^{-3}-t^{-4}$
Conway polynomial	Data:K14n10522/Conway Polynomial
Determinant	Data:K14n10522/Determinant
Signature	Data:K14n10522/Signature
HOMFLY-PT polynomial	$-z^{8}+a^{2}z^{6}+2z^{6}a^{-2}-6z^{6}+4a^{2}z^{4}+9z^{4}a^{-2}-z^{4}a^{-4}-13z^{4}+4a^{2}z^{2}+11z^{2}a^{-2}-3z^{2}a^{-4}-13z^{2}+2a^{2}+4a^{-2}-a^{-4}-4$
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 z^{12} $Failed^{-1} +z^{12}+3 \text{QuantumGroups$\grave{ }$a} z^{11}+6 z^{11} $Failed^{-1} +3 z^{11} $Failed^{-1} +3 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+2 z^{10} $Failed^{-1} +3 z^{10} $Failed^{-1} +2 z^{10}+\text{QuantumGroups$\grave{ }$a}^3 z^9-15 \text{QuantumGroups$\grave{ }$a} z^9-33 z^9 $Failed^{-1} -16 z^9 $Failed^{-1} +z^9 $Failed^{-1} -16 \text{QuantumGroups$\grave{ }$a}^2 z^8-38 z^8 $Failed^{-1} -19 z^8 $Failed^{-1} -35 z^8-3 \text{QuantumGroups$\grave{ }$a}^3 z^7+23 \text{QuantumGroups$\grave{ }$a} z^7+54 z^7 $Failed^{-1} +22 z^7 $Failed^{-1} -6 z^7 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^4 z^6+28 \text{QuantumGroups$\grave{ }$a}^2 z^6+90 z^6 $Failed^{-1} +39 z^6 $Failed^{-1} +78 z^6-\text{QuantumGroups$\grave{ }$a}^3 z^5-23 \text{QuantumGroups$\grave{ }$a} z^5-37 z^5 $Failed^{-1} -4 z^5 $Failed^{-1} +11 z^5 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^4 z^4-26 \text{QuantumGroups$\grave{ }$a}^2 z^4-80 z^4 $Failed^{-1} -32 z^4 $Failed^{-1} -72 z^4+2 \text{QuantumGroups$\grave{ }$a}^5 z^3+5 \text{QuantumGroups$\grave{ }$a}^3 z^3+16 \text{QuantumGroups$\grave{ }$a} z^3+15 z^3 $Failed^{-1} -5 z^3 $Failed^{-1} -7 z^3 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^6 z^2+\text{QuantumGroups$\grave{ }$a}^4 z^2+10 \text{QuantumGroups$\grave{ }$a}^2 z^2+30 z^2 $Failed^{-1} +10 z^2 $Failed^{-1} +30 z^2-\text{QuantumGroups$\grave{ }$a}^5 z-3 \text{QuantumGroups$\grave{ }$a}^3 z-5 \text{QuantumGroups$\grave{ }$a} z-3 z $Failed^{-1} +z $Failed^{-1} +z $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^2-4 $Failed^{-1} - $Failed^{-1} -4}

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