K14n12171

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n12171

Polynomial invariants

Jones polynomial	Data:K14n12171/Jones Polynomial
Alexander polynomial	$-t^{4}+10t^{3}-40t^{2}+85t-107+85t^{-1}-40t^{-2}+10t^{-3}-t^{-4}$
Conway polynomial	Data:K14n12171/Conway Polynomial
Determinant	Data:K14n12171/Determinant
Signature	Data:K14n12171/Signature
HOMFLY-PT polynomial	$-z^{4}a^{8}+a^{8}+2z^{6}a^{6}+2z^{4}a^{6}-2z^{2}a^{6}-3a^{6}-z^{8}a^{4}-2z^{6}a^{4}-z^{4}a^{4}+4z^{2}a^{4}+4a^{4}+2z^{6}a^{2}+z^{4}a^{2}-4z^{2}a^{2}-3a^{2}-z^{4}+z^{2}+2$
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 3 \text{QuantumGroups$\grave{ }$a}^6 z^{12}+3 \text{QuantumGroups$\grave{ }$a}^4 z^{12}+12 \text{QuantumGroups$\grave{ }$a}^7 z^{11}+20 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+8 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+19 \text{QuantumGroups$\grave{ }$a}^8 z^{10}+35 \text{QuantumGroups$\grave{ }$a}^6 z^{10}+23 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+7 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+15 \text{QuantumGroups$\grave{ }$a}^9 z^9+6 \text{QuantumGroups$\grave{ }$a}^7 z^9-11 \text{QuantumGroups$\grave{ }$a}^5 z^9+2 \text{QuantumGroups$\grave{ }$a} z^9+6 \text{QuantumGroups$\grave{ }$a}^{10} z^8-36 \text{QuantumGroups$\grave{ }$a}^8 z^8-91 \text{QuantumGroups$\grave{ }$a}^6 z^8-50 \text{QuantumGroups$\grave{ }$a}^4 z^8-\text{QuantumGroups$\grave{ }$a}^2 z^8+\text{QuantumGroups$\grave{ }$a}^{11} z^7-34 \text{QuantumGroups$\grave{ }$a}^9 z^7-75 \text{QuantumGroups$\grave{ }$a}^7 z^7-60 \text{QuantumGroups$\grave{ }$a}^5 z^7-9 \text{QuantumGroups$\grave{ }$a}^3 z^7+11 \text{QuantumGroups$\grave{ }$a} z^7-11 \text{QuantumGroups$\grave{ }$a}^{10} z^6+6 \text{QuantumGroups$\grave{ }$a}^8 z^6+45 \text{QuantumGroups$\grave{ }$a}^6 z^6+24 \text{QuantumGroups$\grave{ }$a}^4 z^6+3 \text{QuantumGroups$\grave{ }$a}^2 z^6+7 z^6-\text{QuantumGroups$\grave{ }$a}^{11} z^5+22 \text{QuantumGroups$\grave{ }$a}^9 z^5+71 \text{QuantumGroups$\grave{ }$a}^7 z^5+72 \text{QuantumGroups$\grave{ }$a}^5 z^5+15 \text{QuantumGroups$\grave{ }$a}^3 z^5-8 \text{QuantumGroups$\grave{ }$a} z^5+z^5 $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^{10} z^4+12 \text{QuantumGroups$\grave{ }$a}^8 z^4+15 \text{QuantumGroups$\grave{ }$a}^6 z^4+13 \text{QuantumGroups$\grave{ }$a}^4 z^4+2 \text{QuantumGroups$\grave{ }$a}^2 z^4-3 z^4-4 \text{QuantumGroups$\grave{ }$a}^9 z^3-19 \text{QuantumGroups$\grave{ }$a}^7 z^3-25 \text{QuantumGroups$\grave{ }$a}^5 z^3-13 \text{QuantumGroups$\grave{ }$a}^3 z^3-3 \text{QuantumGroups$\grave{ }$a} z^3-6 \text{QuantumGroups$\grave{ }$a}^8 z^2-14 \text{QuantumGroups$\grave{ }$a}^6 z^2-15 \text{QuantumGroups$\grave{ }$a}^4 z^2-10 \text{QuantumGroups$\grave{ }$a}^2 z^2-3 z^2-\text{QuantumGroups$\grave{ }$a}^9 z+3 \text{QuantumGroups$\grave{ }$a}^5 z+3 \text{QuantumGroups$\grave{ }$a}^3 z+\text{QuantumGroups$\grave{ }$a} z+\text{QuantumGroups$\grave{ }$a}^8+3 \text{QuantumGroups$\grave{ }$a}^6+4 \text{QuantumGroups$\grave{ }$a}^4+3 \text{QuantumGroups$\grave{ }$a}^2+2}

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