K14a5886

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a5886

Polynomial invariants

Jones polynomial	Data:K14a5886/Jones Polynomial
Alexander polynomial	$2t^{4}-15t^{3}+43t^{2}-75t+91-75t^{-1}+43t^{-2}-15t^{-3}+2t^{-4}$
Conway polynomial	Data:K14a5886/Conway Polynomial
Determinant	Data:K14a5886/Determinant
Signature	Data:K14a5886/Signature
HOMFLY-PT polynomial	$a^{2}z^{8}+z^{8}-2a^{4}z^{6}+3a^{2}z^{6}-2z^{6}a^{-2}+2z^{6}+a^{6}z^{4}-7a^{4}z^{4}+4a^{2}z^{4}-5z^{4}a^{-2}+z^{4}a^{-4}-z^{4}+3a^{6}z^{2}-8a^{4}z^{2}+4a^{2}z^{2}-3z^{2}a^{-2}+2z^{2}a^{-4}-4z^{2}+2a^{6}-3a^{4}+2a^{2}+a^{-4}-1$
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}^3 z^{13}+\text{QuantumGroups$\grave{ }$a} z^{13}+3 \text{QuantumGroups$\grave{ }$a}^4 z^{12}+7 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+4 z^{12}+5 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+9 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+13 \text{QuantumGroups$\grave{ }$a} z^{11}+9 z^{11} $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^6 z^{10}+3 \text{QuantumGroups$\grave{ }$a}^4 z^{10}-3 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+13 z^{10} $Failed^{-1} +12 z^{10}+3 \text{QuantumGroups$\grave{ }$a}^7 z^9-12 \text{QuantumGroups$\grave{ }$a}^5 z^9-22 \text{QuantumGroups$\grave{ }$a}^3 z^9-23 \text{QuantumGroups$\grave{ }$a} z^9-3 z^9 $Failed^{-1} +13 z^9 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^8 z^8-19 \text{QuantumGroups$\grave{ }$a}^6 z^8-32 \text{QuantumGroups$\grave{ }$a}^4 z^8-20 \text{QuantumGroups$\grave{ }$a}^2 z^8-19 z^8 $Failed^{-1} +9 z^8 $Failed^{-1} -36 z^8-13 \text{QuantumGroups$\grave{ }$a}^7 z^7+2 \text{QuantumGroups$\grave{ }$a}^5 z^7+5 \text{QuantumGroups$\grave{ }$a}^3 z^7+4 \text{QuantumGroups$\grave{ }$a} z^7-14 z^7 $Failed^{-1} -24 z^7 $Failed^{-1} +4 z^7 $Failed^{-1} -5 \text{QuantumGroups$\grave{ }$a}^8 z^6+25 \text{QuantumGroups$\grave{ }$a}^6 z^6+52 \text{QuantumGroups$\grave{ }$a}^4 z^6+26 \text{QuantumGroups$\grave{ }$a}^2 z^6+10 z^6 $Failed^{-1} -17 z^6 $Failed^{-1} +z^6 $Failed^{-1} +32 z^6+18 \text{QuantumGroups$\grave{ }$a}^7 z^5+10 \text{QuantumGroups$\grave{ }$a}^5 z^5+16 \text{QuantumGroups$\grave{ }$a}^3 z^5+11 \text{QuantumGroups$\grave{ }$a} z^5+13 z^5 $Failed^{-1} +19 z^5 $Failed^{-1} -7 z^5 $Failed^{-1} +8 \text{QuantumGroups$\grave{ }$a}^8 z^4-18 \text{QuantumGroups$\grave{ }$a}^6 z^4-45 \text{QuantumGroups$\grave{ }$a}^4 z^4-18 \text{QuantumGroups$\grave{ }$a}^2 z^4-2 z^4 $Failed^{-1} +12 z^4 $Failed^{-1} -2 z^4 $Failed^{-1} -15 z^4-9 \text{QuantumGroups$\grave{ }$a}^7 z^3-8 \text{QuantumGroups$\grave{ }$a}^5 z^3-16 \text{QuantumGroups$\grave{ }$a}^3 z^3-8 \text{QuantumGroups$\grave{ }$a} z^3-3 z^3 $Failed^{-1} -9 z^3 $Failed^{-1} +3 z^3 $Failed^{-1} -4 \text{QuantumGroups$\grave{ }$a}^8 z^2+10 \text{QuantumGroups$\grave{ }$a}^6 z^2+19 \text{QuantumGroups$\grave{ }$a}^4 z^2+8 \text{QuantumGroups$\grave{ }$a}^2 z^2-z^2 $Failed^{-1} -5 z^2 $Failed^{-1} +z^2 $Failed^{-1} +8 z^2+2 \text{QuantumGroups$\grave{ }$a}^7 z+2 \text{QuantumGroups$\grave{ }$a}^5 z+3 \text{QuantumGroups$\grave{ }$a}^3 z+3 \text{QuantumGroups$\grave{ }$a} z+z $Failed^{-1} +z $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^6-3 \text{QuantumGroups$\grave{ }$a}^4-2 \text{QuantumGroups$\grave{ }$a}^2+ $Failed^{-1} -1}

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