K14n17458

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n17458

Polynomial invariants

Jones polynomial	Data:K14n17458/Jones Polynomial
Alexander polynomial	$4t^{3}-23t^{2}+53t-67+53t^{-1}-23t^{-2}+4t^{-3}$
Conway polynomial	Data:K14n17458/Conway Polynomial
Determinant	Data:K14n17458/Determinant
Signature	Data:K14n17458/Signature
HOMFLY-PT polynomial	$3z^{2}a^{6}+3a^{6}-6z^{4}a^{4}-12z^{2}a^{4}-6a^{4}+3z^{6}a^{2}+8z^{4}a^{2}+8z^{2}a^{2}+3a^{2}+z^{6}-z^{2}+1-z^{4}a^{-2}-z^{2}a^{-2}$
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 2 \text{QuantumGroups$\grave{ }$a}^4 z^{12}+2 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+5 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+12 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+7 \text{QuantumGroups$\grave{ }$a} z^{11}+3 \text{QuantumGroups$\grave{ }$a}^6 z^{10}+5 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+12 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+10 z^{10}-21 \text{QuantumGroups$\grave{ }$a}^5 z^9-41 \text{QuantumGroups$\grave{ }$a}^3 z^9-12 \text{QuantumGroups$\grave{ }$a} z^9+8 z^9 $Failed^{-1} -12 \text{QuantumGroups$\grave{ }$a}^6 z^8-38 \text{QuantumGroups$\grave{ }$a}^4 z^8-58 \text{QuantumGroups$\grave{ }$a}^2 z^8+4 z^8 $Failed^{-1} -28 z^8+3 \text{QuantumGroups$\grave{ }$a}^7 z^7+53 \text{QuantumGroups$\grave{ }$a}^5 z^7+72 \text{QuantumGroups$\grave{ }$a}^3 z^7-2 \text{QuantumGroups$\grave{ }$a} z^7-23 z^7 $Failed^{-1} +z^7 $Failed^{-1} +37 \text{QuantumGroups$\grave{ }$a}^6 z^6+99 \text{QuantumGroups$\grave{ }$a}^4 z^6+99 \text{QuantumGroups$\grave{ }$a}^2 z^6-12 z^6 $Failed^{-1} +25 z^6+\text{QuantumGroups$\grave{ }$a}^7 z^5-52 \text{QuantumGroups$\grave{ }$a}^5 z^5-72 \text{QuantumGroups$\grave{ }$a}^3 z^5+2 \text{QuantumGroups$\grave{ }$a} z^5+18 z^5 $Failed^{-1} -3 z^5 $Failed^{-1} +3 \text{QuantumGroups$\grave{ }$a}^8 z^4-38 \text{QuantumGroups$\grave{ }$a}^6 z^4-106 \text{QuantumGroups$\grave{ }$a}^4 z^4-91 \text{QuantumGroups$\grave{ }$a}^2 z^4+10 z^4 $Failed^{-1} -16 z^4-3 \text{QuantumGroups$\grave{ }$a}^7 z^3+26 \text{QuantumGroups$\grave{ }$a}^5 z^3+41 \text{QuantumGroups$\grave{ }$a}^3 z^3+5 \text{QuantumGroups$\grave{ }$a} z^3-5 z^3 $Failed^{-1} +2 z^3 $Failed^{-1} -3 \text{QuantumGroups$\grave{ }$a}^8 z^2+17 \text{QuantumGroups$\grave{ }$a}^6 z^2+48 \text{QuantumGroups$\grave{ }$a}^4 z^2+36 \text{QuantumGroups$\grave{ }$a}^2 z^2-3 z^2 $Failed^{-1} +5 z^2+\text{QuantumGroups$\grave{ }$a}^7 z-6 \text{QuantumGroups$\grave{ }$a}^5 z-12 \text{QuantumGroups$\grave{ }$a}^3 z-5 \text{QuantumGroups$\grave{ }$a} z-3 \text{QuantumGroups$\grave{ }$a}^6-6 \text{QuantumGroups$\grave{ }$a}^4-3 \text{QuantumGroups$\grave{ }$a}^2+1}

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