K14a6317

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a6317

Polynomial invariants

Jones polynomial	Data:K14a6317/Jones Polynomial
Alexander polynomial	$7t^{3}-45t^{2}+117t-157+117t^{-1}-45t^{-2}+7t^{-3}$
Conway polynomial	Data:K14a6317/Conway Polynomial
Determinant	Data:K14a6317/Determinant
Signature	Data:K14a6317/Signature
HOMFLY-PT polynomial	$z^{6}a^{-2}+3z^{6}a^{-4}+3z^{6}a^{-6}-3z^{4}a^{-2}+z^{4}a^{-4}+5z^{4}a^{-6}-4z^{4}a^{-8}-2z^{4}+a^{2}z^{2}-3z^{2}a^{-2}-2z^{2}a^{-4}+8z^{2}a^{-6}-4z^{2}a^{-8}+z^{2}a^{-10}-z^{2}+a^{2}-a^{-2}-a^{-4}+4a^{-6}-2a^{-8}$
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 z^{13} $Failed^{-1} +2 z^{13} $Failed^{-1} +8 z^{12} $Failed^{-1} +17 z^{12} $Failed^{-1} +9 z^{12} $Failed^{-1} +13 z^{11} $Failed^{-1} +32 z^{11} $Failed^{-1} +35 z^{11} $Failed^{-1} +16 z^{11} $Failed^{-1} +13 z^{10} $Failed^{-1} +11 z^{10} $Failed^{-1} -4 z^{10} $Failed^{-1} +12 z^{10} $Failed^{-1} +14 z^{10} $Failed^{-1} +10 z^9 $Failed^{-1} -16 z^9 $Failed^{-1} -99 z^9 $Failed^{-1} -115 z^9 $Failed^{-1} -36 z^9 $Failed^{-1} +6 z^9 $Failed^{-1} -21 z^8 $Failed^{-1} -70 z^8 $Failed^{-1} -115 z^8 $Failed^{-1} -116 z^8 $Failed^{-1} -43 z^8 $Failed^{-1} +z^8 $Failed^{-1} +6 z^8+3 \text{QuantumGroups$\grave{ }$a} z^7-17 z^7 $Failed^{-1} -3 z^7 $Failed^{-1} +100 z^7 $Failed^{-1} +97 z^7 $Failed^{-1} -3 z^7 $Failed^{-1} -17 z^7 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^2 z^6+15 z^6 $Failed^{-1} +99 z^6 $Failed^{-1} +197 z^6 $Failed^{-1} +164 z^6 $Failed^{-1} +39 z^6 $Failed^{-1} -2 z^6 $Failed^{-1} -9 z^6-6 \text{QuantumGroups$\grave{ }$a} z^5+17 z^5 $Failed^{-1} +26 z^5 $Failed^{-1} -39 z^5 $Failed^{-1} -17 z^5 $Failed^{-1} +39 z^5 $Failed^{-1} +14 z^5 $Failed^{-1} -3 \text{QuantumGroups$\grave{ }$a}^2 z^4+3 z^4 $Failed^{-1} -53 z^4 $Failed^{-1} -136 z^4 $Failed^{-1} -100 z^4 $Failed^{-1} -13 z^4 $Failed^{-1} +z^4 $Failed^{-1} +3 z^4+3 \text{QuantumGroups$\grave{ }$a} z^3-13 z^3 $Failed^{-1} -16 z^3 $Failed^{-1} +5 z^3 $Failed^{-1} -13 z^3 $Failed^{-1} -21 z^3 $Failed^{-1} -3 z^3 $Failed^{-1} +3 \text{QuantumGroups$\grave{ }$a}^2 z^2-7 z^2 $Failed^{-1} +12 z^2 $Failed^{-1} +39 z^2 $Failed^{-1} +27 z^2 $Failed^{-1} +4 z^2 $Failed^{-1} +4 z $Failed^{-1} +5 z $Failed^{-1} +z $Failed^{-1} +3 z $Failed^{-1} +3 z $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^2+ $Failed^{-1} - $Failed^{-1} -4 $Failed^{-1} -2 $Failed^{-1} }

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