K14a352

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a352

Polynomial invariants

Jones polynomial	Data:K14a352/Jones Polynomial
Alexander polynomial	$2t^{4}-15t^{3}+50t^{2}-98t+123-98t^{-1}+50t^{-2}-15t^{-3}+2t^{-4}$
Conway polynomial	Data:K14a352/Conway Polynomial
Determinant	Data:K14a352/Determinant
Signature	Data:K14a352/Signature
HOMFLY-PT polynomial	$z^{8}a^{-2}+z^{8}-3a^{2}z^{6}+3z^{6}a^{-2}-z^{6}a^{-4}+2z^{6}+3a^{4}z^{4}-8a^{2}z^{4}+4z^{4}a^{-2}-2z^{4}a^{-4}+3z^{4}-a^{6}z^{2}+6a^{4}z^{2}-10a^{2}z^{2}+z^{2}a^{-2}-z^{2}a^{-4}+4z^{2}-a^{6}+4a^{4}-5a^{2}+3$
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} z^{13}+z^{13} $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+5 z^{12} $Failed^{-1} +9 z^{12}+7 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+18 \text{QuantumGroups$\grave{ }$a} z^{11}+22 z^{11} $Failed^{-1} +11 z^{11} $Failed^{-1} +8 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+13 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+19 z^{10} $Failed^{-1} +14 z^{10} $Failed^{-1} +10 z^{10}+7 \text{QuantumGroups$\grave{ }$a}^5 z^9+3 \text{QuantumGroups$\grave{ }$a}^3 z^9-25 \text{QuantumGroups$\grave{ }$a} z^9-38 z^9 $Failed^{-1} -6 z^9 $Failed^{-1} +11 z^9 $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^6 z^8-6 \text{QuantumGroups$\grave{ }$a}^4 z^8-27 \text{QuantumGroups$\grave{ }$a}^2 z^8-61 z^8 $Failed^{-1} -28 z^8 $Failed^{-1} +5 z^8 $Failed^{-1} -45 z^8+\text{QuantumGroups$\grave{ }$a}^7 z^7-15 \text{QuantumGroups$\grave{ }$a}^5 z^7-29 \text{QuantumGroups$\grave{ }$a}^3 z^7+14 z^7 $Failed^{-1} -27 z^7 $Failed^{-1} -27 z^7 $Failed^{-1} +z^7 $Failed^{-1} -12 \text{QuantumGroups$\grave{ }$a}^6 z^6-23 \text{QuantumGroups$\grave{ }$a}^4 z^6-7 \text{QuantumGroups$\grave{ }$a}^2 z^6+52 z^6 $Failed^{-1} +13 z^6 $Failed^{-1} -12 z^6 $Failed^{-1} +31 z^6-3 \text{QuantumGroups$\grave{ }$a}^7 z^5+7 \text{QuantumGroups$\grave{ }$a}^5 z^5+24 \text{QuantumGroups$\grave{ }$a}^3 z^5+7 \text{QuantumGroups$\grave{ }$a} z^5-2 z^5 $Failed^{-1} +27 z^5 $Failed^{-1} +20 z^5 $Failed^{-1} -2 z^5 $Failed^{-1} +13 \text{QuantumGroups$\grave{ }$a}^6 z^4+38 \text{QuantumGroups$\grave{ }$a}^4 z^4+39 \text{QuantumGroups$\grave{ }$a}^2 z^4-18 z^4 $Failed^{-1} +8 z^4 $Failed^{-1} +4 z^4+3 \text{QuantumGroups$\grave{ }$a}^7 z^3+3 \text{QuantumGroups$\grave{ }$a}^5 z^3-3 \text{QuantumGroups$\grave{ }$a}^3 z^3+3 \text{QuantumGroups$\grave{ }$a} z^3+6 z^3 $Failed^{-1} -5 z^3 $Failed^{-1} -4 z^3 $Failed^{-1} +z^3 $Failed^{-1} -6 \text{QuantumGroups$\grave{ }$a}^6 z^2-21 \text{QuantumGroups$\grave{ }$a}^4 z^2-26 \text{QuantumGroups$\grave{ }$a}^2 z^2+z^2 $Failed^{-1} -z^2 $Failed^{-1} -11 z^2-\text{QuantumGroups$\grave{ }$a}^7 z-2 \text{QuantumGroups$\grave{ }$a}^5 z-\text{QuantumGroups$\grave{ }$a}^3 z-2 \text{QuantumGroups$\grave{ }$a} z-3 z $Failed^{-1} -z $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^6+4 \text{QuantumGroups$\grave{ }$a}^4+5 \text{QuantumGroups$\grave{ }$a}^2+3}

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