K14n17629

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n17629

Polynomial invariants

Jones polynomial	Data:K14n17629/Jones Polynomial
Alexander polynomial	$-t^{5}+5t^{4}-12t^{3}+19t^{2}-22t+23-22t^{-1}+19t^{-2}-12t^{-3}+5t^{-4}-t^{-5}$
Conway polynomial	Data:K14n17629/Conway Polynomial
Determinant	Data:K14n17629/Determinant
Signature	Data:K14n17629/Signature
HOMFLY-PT polynomial	$-a^{4}z^{10}+a^{6}z^{8}-8a^{4}z^{8}+2a^{2}z^{8}+7a^{6}z^{6}-25a^{4}z^{6}+12a^{2}z^{6}-z^{6}-a^{8}z^{4}+16a^{6}z^{4}-39a^{4}z^{4}+25a^{2}z^{4}-4z^{4}-2a^{8}z^{2}+15a^{6}z^{2}-30a^{4}z^{2}+23a^{2}z^{2}-5z^{2}-a^{8}+5a^{6}-10a^{4}+9a^{2}-2$
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 2 \text{QuantumGroups$\grave{ }$a}^4 z^{12}+2 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+7 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+12 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+5 \text{QuantumGroups$\grave{ }$a} z^{11}+9 \text{QuantumGroups$\grave{ }$a}^6 z^{10}+10 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+5 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+4 z^{10}+5 \text{QuantumGroups$\grave{ }$a}^7 z^9-25 \text{QuantumGroups$\grave{ }$a}^5 z^9-52 \text{QuantumGroups$\grave{ }$a}^3 z^9-21 \text{QuantumGroups$\grave{ }$a} z^9+z^9 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^8 z^8-45 \text{QuantumGroups$\grave{ }$a}^6 z^8-91 \text{QuantumGroups$\grave{ }$a}^4 z^8-66 \text{QuantumGroups$\grave{ }$a}^2 z^8-21 z^8-24 \text{QuantumGroups$\grave{ }$a}^7 z^7+3 \text{QuantumGroups$\grave{ }$a}^5 z^7+48 \text{QuantumGroups$\grave{ }$a}^3 z^7+16 \text{QuantumGroups$\grave{ }$a} z^7-5 z^7 $Failed^{-1} -4 \text{QuantumGroups$\grave{ }$a}^8 z^6+72 \text{QuantumGroups$\grave{ }$a}^6 z^6+175 \text{QuantumGroups$\grave{ }$a}^4 z^6+136 \text{QuantumGroups$\grave{ }$a}^2 z^6+37 z^6+34 \text{QuantumGroups$\grave{ }$a}^7 z^5+44 \text{QuantumGroups$\grave{ }$a}^5 z^5+20 \text{QuantumGroups$\grave{ }$a}^3 z^5+19 \text{QuantumGroups$\grave{ }$a} z^5+9 z^5 $Failed^{-1} +2 \text{QuantumGroups$\grave{ }$a}^8 z^4-59 \text{QuantumGroups$\grave{ }$a}^6 z^4-144 \text{QuantumGroups$\grave{ }$a}^4 z^4-111 \text{QuantumGroups$\grave{ }$a}^2 z^4-28 z^4-\text{QuantumGroups$\grave{ }$a}^9 z^3-22 \text{QuantumGroups$\grave{ }$a}^7 z^3-43 \text{QuantumGroups$\grave{ }$a}^5 z^3-39 \text{QuantumGroups$\grave{ }$a}^3 z^3-24 \text{QuantumGroups$\grave{ }$a} z^3-7 z^3 $Failed^{-1} +2 \text{QuantumGroups$\grave{ }$a}^8 z^2+26 \text{QuantumGroups$\grave{ }$a}^6 z^2+57 \text{QuantumGroups$\grave{ }$a}^4 z^2+44 \text{QuantumGroups$\grave{ }$a}^2 z^2+11 z^2+\text{QuantumGroups$\grave{ }$a}^9 z+6 \text{QuantumGroups$\grave{ }$a}^7 z+13 \text{QuantumGroups$\grave{ }$a}^5 z+13 \text{QuantumGroups$\grave{ }$a}^3 z+7 \text{QuantumGroups$\grave{ }$a} z+2 z $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^8-5 \text{QuantumGroups$\grave{ }$a}^6-10 \text{QuantumGroups$\grave{ }$a}^4-9 \text{QuantumGroups$\grave{ }$a}^2-2}

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