K14a2889

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a2889

Polynomial invariants

Jones polynomial	Data:K14a2889/Jones Polynomial
Alexander polynomial	$t^{5}-7t^{4}+23t^{3}-48t^{2}+71t-79+71t^{-1}-48t^{-2}+23t^{-3}-7t^{-4}+t^{-5}$
Conway polynomial	Data:K14a2889/Conway Polynomial
Determinant	Data:K14a2889/Determinant
Signature	Data:K14a2889/Signature
HOMFLY-PT polynomial	$z^{10}a^{-2}+7z^{8}a^{-2}-z^{8}a^{-4}-3z^{8}+3a^{2}z^{6}+21z^{6}a^{-2}-5z^{6}a^{-4}-17z^{6}-a^{4}z^{4}+13a^{2}z^{4}+33z^{4}a^{-2}-9z^{4}a^{-4}-36z^{4}-3a^{4}z^{2}+18a^{2}z^{2}+26z^{2}a^{-2}-7z^{2}a^{-4}-35z^{2}-2a^{4}+9a^{2}+9a^{-2}-2a^{-4}-13$
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}+6 z^{12} $Failed^{-1} +10 z^{12}+6 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+19 \text{QuantumGroups$\grave{ }$a} z^{11}+28 z^{11} $Failed^{-1} +15 z^{11} $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+2 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+24 z^{10} $Failed^{-1} +21 z^{10} $Failed^{-1} +z^{10}+\text{QuantumGroups$\grave{ }$a}^5 z^9-23 \text{QuantumGroups$\grave{ }$a}^3 z^9-83 \text{QuantumGroups$\grave{ }$a} z^9-95 z^9 $Failed^{-1} -16 z^9 $Failed^{-1} +20 z^9 $Failed^{-1} -20 \text{QuantumGroups$\grave{ }$a}^4 z^8-69 \text{QuantumGroups$\grave{ }$a}^2 z^8-137 z^8 $Failed^{-1} -43 z^8 $Failed^{-1} +15 z^8 $Failed^{-1} -128 z^8-5 \text{QuantumGroups$\grave{ }$a}^5 z^7+20 \text{QuantumGroups$\grave{ }$a}^3 z^7+88 \text{QuantumGroups$\grave{ }$a} z^7+68 z^7 $Failed^{-1} -40 z^7 $Failed^{-1} -36 z^7 $Failed^{-1} +9 z^7 $Failed^{-1} +36 \text{QuantumGroups$\grave{ }$a}^4 z^6+146 \text{QuantumGroups$\grave{ }$a}^2 z^6+202 z^6 $Failed^{-1} +34 z^6 $Failed^{-1} -21 z^6 $Failed^{-1} +4 z^6 $Failed^{-1} +253 z^6+9 \text{QuantumGroups$\grave{ }$a}^5 z^5+11 \text{QuantumGroups$\grave{ }$a}^3 z^5-5 \text{QuantumGroups$\grave{ }$a} z^5+29 z^5 $Failed^{-1} +75 z^5 $Failed^{-1} +28 z^5 $Failed^{-1} -10 z^5 $Failed^{-1} +z^5 $Failed^{-1} -30 \text{QuantumGroups$\grave{ }$a}^4 z^4-124 \text{QuantumGroups$\grave{ }$a}^2 z^4-144 z^4 $Failed^{-1} -19 z^4 $Failed^{-1} +12 z^4 $Failed^{-1} -4 z^4 $Failed^{-1} -203 z^4-7 \text{QuantumGroups$\grave{ }$a}^5 z^3-20 \text{QuantumGroups$\grave{ }$a}^3 z^3-28 \text{QuantumGroups$\grave{ }$a} z^3-47 z^3 $Failed^{-1} -50 z^3 $Failed^{-1} -13 z^3 $Failed^{-1} +4 z^3 $Failed^{-1} -z^3 $Failed^{-1} +12 \text{QuantumGroups$\grave{ }$a}^4 z^2+51 \text{QuantumGroups$\grave{ }$a}^2 z^2+53 z^2 $Failed^{-1} +8 z^2 $Failed^{-1} -2 z^2 $Failed^{-1} +z^2 $Failed^{-1} +81 z^2+2 \text{QuantumGroups$\grave{ }$a}^5 z+6 \text{QuantumGroups$\grave{ }$a}^3 z+9 \text{QuantumGroups$\grave{ }$a} z+13 z $Failed^{-1} +12 z $Failed^{-1} +4 z $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^4-9 \text{QuantumGroups$\grave{ }$a}^2-9 $Failed^{-1} -2 $Failed^{-1} -13}

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