K14n17949

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n17949

Polynomial invariants

Jones polynomial	Data:K14n17949/Jones Polynomial
Alexander polynomial	$-4t^{2}+16t-23+16t^{-1}-4t^{-2}$
Conway polynomial	Data:K14n17949/Conway Polynomial
Determinant	Data:K14n17949/Determinant
Signature	Data:K14n17949/Signature
HOMFLY-PT polynomial	$a^{10}-z^{2}a^{8}-a^{8}-2a^{6}-z^{4}a^{4}+z^{2}a^{4}+2a^{4}-2z^{4}a^{2}-z^{2}a^{2}+a^{2}-z^{4}+z^{2}a^{-2}$
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 \text{QuantumGroups$\grave{ }$a}^9 z^{11}+\text{QuantumGroups$\grave{ }$a}^7 z^{11}+\text{QuantumGroups$\grave{ }$a}^5 z^{11}+\text{QuantumGroups$\grave{ }$a}^3 z^{11}+\text{QuantumGroups$\grave{ }$a}^{10} z^{10}+2 \text{QuantumGroups$\grave{ }$a}^8 z^{10}+2 \text{QuantumGroups$\grave{ }$a}^6 z^{10}+4 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+3 \text{QuantumGroups$\grave{ }$a}^2 z^{10}-9 \text{QuantumGroups$\grave{ }$a}^9 z^9-11 \text{QuantumGroups$\grave{ }$a}^7 z^9-7 \text{QuantumGroups$\grave{ }$a}^5 z^9-\text{QuantumGroups$\grave{ }$a}^3 z^9+4 \text{QuantumGroups$\grave{ }$a} z^9-9 \text{QuantumGroups$\grave{ }$a}^{10} z^8-20 \text{QuantumGroups$\grave{ }$a}^8 z^8-20 \text{QuantumGroups$\grave{ }$a}^6 z^8-25 \text{QuantumGroups$\grave{ }$a}^4 z^8-12 \text{QuantumGroups$\grave{ }$a}^2 z^8+4 z^8+28 \text{QuantumGroups$\grave{ }$a}^9 z^7+40 \text{QuantumGroups$\grave{ }$a}^7 z^7+20 \text{QuantumGroups$\grave{ }$a}^5 z^7-9 \text{QuantumGroups$\grave{ }$a}^3 z^7-14 \text{QuantumGroups$\grave{ }$a} z^7+3 z^7 $Failed^{-1} +28 \text{QuantumGroups$\grave{ }$a}^{10} z^6+64 \text{QuantumGroups$\grave{ }$a}^8 z^6+67 \text{QuantumGroups$\grave{ }$a}^6 z^6+63 \text{QuantumGroups$\grave{ }$a}^4 z^6+18 \text{QuantumGroups$\grave{ }$a}^2 z^6+z^6 $Failed^{-1} -13 z^6-40 \text{QuantumGroups$\grave{ }$a}^9 z^5-67 \text{QuantumGroups$\grave{ }$a}^7 z^5-28 \text{QuantumGroups$\grave{ }$a}^5 z^5+23 \text{QuantumGroups$\grave{ }$a}^3 z^5+14 \text{QuantumGroups$\grave{ }$a} z^5-10 z^5 $Failed^{-1} -36 \text{QuantumGroups$\grave{ }$a}^{10} z^4-81 \text{QuantumGroups$\grave{ }$a}^8 z^4-86 \text{QuantumGroups$\grave{ }$a}^6 z^4-65 \text{QuantumGroups$\grave{ }$a}^4 z^4-12 \text{QuantumGroups$\grave{ }$a}^2 z^4-3 z^4 $Failed^{-1} +9 z^4+31 \text{QuantumGroups$\grave{ }$a}^9 z^3+62 \text{QuantumGroups$\grave{ }$a}^7 z^3+34 \text{QuantumGroups$\grave{ }$a}^5 z^3-8 \text{QuantumGroups$\grave{ }$a}^3 z^3-5 \text{QuantumGroups$\grave{ }$a} z^3+6 z^3 $Failed^{-1} +17 \text{QuantumGroups$\grave{ }$a}^{10} z^2+36 \text{QuantumGroups$\grave{ }$a}^8 z^2+37 \text{QuantumGroups$\grave{ }$a}^6 z^2+26 \text{QuantumGroups$\grave{ }$a}^4 z^2+5 \text{QuantumGroups$\grave{ }$a}^2 z^2+z^2 $Failed^{-1} -2 z^2-12 \text{QuantumGroups$\grave{ }$a}^9 z-28 \text{QuantumGroups$\grave{ }$a}^7 z-20 \text{QuantumGroups$\grave{ }$a}^5 z-4 \text{QuantumGroups$\grave{ }$a}^3 z-\text{QuantumGroups$\grave{ }$a}^{10}-\text{QuantumGroups$\grave{ }$a}^8+2 \text{QuantumGroups$\grave{ }$a}^6+2 \text{QuantumGroups$\grave{ }$a}^4-\text{QuantumGroups$\grave{ }$a}^2}

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