K14a2910

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a2910

Polynomial invariants

Jones polynomial	Data:K14a2910/Jones Polynomial
Alexander polynomial	$t^{5}-8t^{4}+30t^{3}-71t^{2}+115t-133+115t^{-1}-71t^{-2}+30t^{-3}-8t^{-4}+t^{-5}$
Conway polynomial	Data:K14a2910/Conway Polynomial
Determinant	Data:K14a2910/Determinant
Signature	Data:K14a2910/Signature
HOMFLY-PT polynomial	$z^{10}a^{-2}+6z^{8}a^{-2}-z^{8}a^{-4}-3z^{8}+3a^{2}z^{6}+16z^{6}a^{-2}-4z^{6}a^{-4}-14z^{6}-a^{4}z^{4}+10a^{2}z^{4}+22z^{4}a^{-2}-6z^{4}a^{-4}-26z^{4}-2a^{4}z^{2}+12a^{2}z^{2}+16z^{2}a^{-2}-4z^{2}a^{-4}-24z^{2}-a^{4}+6a^{2}+6a^{-2}-a^{-4}-9$
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 3 \text{QuantumGroups$\grave{ }$a} z^{13}+3 z^{13} $Failed^{-1} +9 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+16 z^{12} $Failed^{-1} +25 z^{12}+10 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+33 \text{QuantumGroups$\grave{ }$a} z^{11}+59 z^{11} $Failed^{-1} +36 z^{11} $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^4 z^{10}-8 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+37 z^{10} $Failed^{-1} +47 z^{10} $Failed^{-1} -23 z^{10}+\text{QuantumGroups$\grave{ }$a}^5 z^9-36 \text{QuantumGroups$\grave{ }$a}^3 z^9-147 \text{QuantumGroups$\grave{ }$a} z^9-196 z^9 $Failed^{-1} -44 z^9 $Failed^{-1} +42 z^9 $Failed^{-1} -21 \text{QuantumGroups$\grave{ }$a}^4 z^8-70 \text{QuantumGroups$\grave{ }$a}^2 z^8-227 z^8 $Failed^{-1} -89 z^8 $Failed^{-1} +28 z^8 $Failed^{-1} -159 z^8-4 \text{QuantumGroups$\grave{ }$a}^5 z^7+40 \text{QuantumGroups$\grave{ }$a}^3 z^7+172 \text{QuantumGroups$\grave{ }$a} z^7+153 z^7 $Failed^{-1} -60 z^7 $Failed^{-1} -71 z^7 $Failed^{-1} +14 z^7 $Failed^{-1} +34 \text{QuantumGroups$\grave{ }$a}^4 z^6+157 \text{QuantumGroups$\grave{ }$a}^2 z^6+275 z^6 $Failed^{-1} +47 z^6 $Failed^{-1} -34 z^6 $Failed^{-1} +5 z^6 $Failed^{-1} +312 z^6+6 \text{QuantumGroups$\grave{ }$a}^5 z^5-8 \text{QuantumGroups$\grave{ }$a}^3 z^5-55 \text{QuantumGroups$\grave{ }$a} z^5-z^5 $Failed^{-1} +93 z^5 $Failed^{-1} +43 z^5 $Failed^{-1} -9 z^5 $Failed^{-1} +z^5 $Failed^{-1} -26 \text{QuantumGroups$\grave{ }$a}^4 z^4-124 \text{QuantumGroups$\grave{ }$a}^2 z^4-145 z^4 $Failed^{-1} -13 z^4 $Failed^{-1} +16 z^4 $Failed^{-1} -z^4 $Failed^{-1} -213 z^4-4 \text{QuantumGroups$\grave{ }$a}^5 z^3-9 \text{QuantumGroups$\grave{ }$a}^3 z^3-7 \text{QuantumGroups$\grave{ }$a} z^3-26 z^3 $Failed^{-1} -40 z^3 $Failed^{-1} -14 z^3 $Failed^{-1} +2 z^3 $Failed^{-1} +9 \text{QuantumGroups$\grave{ }$a}^4 z^2+43 \text{QuantumGroups$\grave{ }$a}^2 z^2+42 z^2 $Failed^{-1} +4 z^2 $Failed^{-1} -3 z^2 $Failed^{-1} +69 z^2+\text{QuantumGroups$\grave{ }$a}^5 z+3 \text{QuantumGroups$\grave{ }$a}^3 z+3 \text{QuantumGroups$\grave{ }$a} z+5 z $Failed^{-1} +6 z $Failed^{-1} +2 z $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^4-6 \text{QuantumGroups$\grave{ }$a}^2-6 $Failed^{-1} - $Failed^{-1} -9}

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