K14n17554

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n17554

Polynomial invariants

Jones polynomial	Data:K14n17554/Jones Polynomial
Alexander polynomial	$-t^{4}+7t^{3}-20t^{2}+37t-45+37t^{-1}-20t^{-2}+7t^{-3}-t^{-4}$
Conway polynomial	Data:K14n17554/Conway Polynomial
Determinant	Data:K14n17554/Determinant
Signature	Data:K14n17554/Signature
HOMFLY-PT polynomial	$-z^{4}a^{8}-2z^{2}a^{8}-a^{8}+2z^{6}a^{6}+6z^{4}a^{6}+5z^{2}a^{6}-z^{8}a^{4}-4z^{6}a^{4}-5z^{4}a^{4}+2a^{4}+z^{6}a^{2}+2z^{4}a^{2}+z^{2}a^{2}$
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 \text{QuantumGroups$\grave{ }$a}^6 z^{12}+\text{QuantumGroups$\grave{ }$a}^4 z^{12}+4 \text{QuantumGroups$\grave{ }$a}^7 z^{11}+6 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+2 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+7 \text{QuantumGroups$\grave{ }$a}^8 z^{10}+8 \text{QuantumGroups$\grave{ }$a}^6 z^{10}+2 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+\text{QuantumGroups$\grave{ }$a}^2 z^{10}+7 \text{QuantumGroups$\grave{ }$a}^9 z^9-2 \text{QuantumGroups$\grave{ }$a}^7 z^9-17 \text{QuantumGroups$\grave{ }$a}^5 z^9-8 \text{QuantumGroups$\grave{ }$a}^3 z^9+4 \text{QuantumGroups$\grave{ }$a}^{10} z^8-15 \text{QuantumGroups$\grave{ }$a}^8 z^8-30 \text{QuantumGroups$\grave{ }$a}^6 z^8-16 \text{QuantumGroups$\grave{ }$a}^4 z^8-5 \text{QuantumGroups$\grave{ }$a}^2 z^8+\text{QuantumGroups$\grave{ }$a}^{11} z^7-19 \text{QuantumGroups$\grave{ }$a}^9 z^7-15 \text{QuantumGroups$\grave{ }$a}^7 z^7+22 \text{QuantumGroups$\grave{ }$a}^5 z^7+17 \text{QuantumGroups$\grave{ }$a}^3 z^7-12 \text{QuantumGroups$\grave{ }$a}^{10} z^6+2 \text{QuantumGroups$\grave{ }$a}^8 z^6+39 \text{QuantumGroups$\grave{ }$a}^6 z^6+41 \text{QuantumGroups$\grave{ }$a}^4 z^6+16 \text{QuantumGroups$\grave{ }$a}^2 z^6-3 \text{QuantumGroups$\grave{ }$a}^{11} z^5+11 \text{QuantumGroups$\grave{ }$a}^9 z^5+11 \text{QuantumGroups$\grave{ }$a}^7 z^5-10 \text{QuantumGroups$\grave{ }$a}^5 z^5-4 \text{QuantumGroups$\grave{ }$a}^3 z^5+3 \text{QuantumGroups$\grave{ }$a} z^5+10 \text{QuantumGroups$\grave{ }$a}^{10} z^4-\text{QuantumGroups$\grave{ }$a}^8 z^4-31 \text{QuantumGroups$\grave{ }$a}^6 z^4-31 \text{QuantumGroups$\grave{ }$a}^4 z^4-11 \text{QuantumGroups$\grave{ }$a}^2 z^4+3 \text{QuantumGroups$\grave{ }$a}^{11} z^3-\text{QuantumGroups$\grave{ }$a}^9 z^3-5 \text{QuantumGroups$\grave{ }$a}^7 z^3-\text{QuantumGroups$\grave{ }$a}^3 z^3-2 \text{QuantumGroups$\grave{ }$a} z^3-2 \text{QuantumGroups$\grave{ }$a}^{10} z^2+4 \text{QuantumGroups$\grave{ }$a}^8 z^2+9 \text{QuantumGroups$\grave{ }$a}^6 z^2+6 \text{QuantumGroups$\grave{ }$a}^4 z^2+3 \text{QuantumGroups$\grave{ }$a}^2 z^2-\text{QuantumGroups$\grave{ }$a}^{11} z+\text{QuantumGroups$\grave{ }$a}^9 z+\text{QuantumGroups$\grave{ }$a}^7 z-\text{QuantumGroups$\grave{ }$a}^5 z-\text{QuantumGroups$\grave{ }$a}^8+2 \text{QuantumGroups$\grave{ }$a}^4}

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