K14a17955

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a17955

Polynomial invariants

Jones polynomial	Data:K14a17955/Jones Polynomial
Alexander polynomial	$-t^{5}+10t^{4}-43t^{3}+106t^{2}-174t+205-174t^{-1}+106t^{-2}-43t^{-3}+10t^{-4}-t^{-5}$
Conway polynomial	Data:K14a17955/Conway Polynomial
Determinant	Data:K14a17955/Determinant
Signature	Data:K14a17955/Signature
HOMFLY-PT polynomial	$-z^{10}+2a^{2}z^{8}+2z^{8}a^{-2}-4z^{8}-a^{4}z^{6}+6a^{2}z^{6}+5z^{6}a^{-2}-z^{6}a^{-4}-7z^{6}-2a^{4}z^{4}+5a^{2}z^{4}+2z^{4}a^{-2}-z^{4}a^{-4}-6z^{4}-z^{2}a^{-2}+z^{2}a^{-4}-2z^{2}+a^{4}-a^{2}+a^{-2}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 9 \text{QuantumGroups$\grave{ }$a} z^{13}+9 z^{13} $Failed^{-1} +28 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+30 z^{12} $Failed^{-1} +58 z^{12}+38 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+67 \text{QuantumGroups$\grave{ }$a} z^{11}+74 z^{11} $Failed^{-1} +45 z^{11} $Failed^{-1} +31 \text{QuantumGroups$\grave{ }$a}^4 z^{10}-14 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+40 z^{10} $Failed^{-1} -85 z^{10}+17 \text{QuantumGroups$\grave{ }$a}^5 z^9-72 \text{QuantumGroups$\grave{ }$a}^3 z^9-209 \text{QuantumGroups$\grave{ }$a} z^9-214 z^9 $Failed^{-1} -72 z^9 $Failed^{-1} +22 z^9 $Failed^{-1} +6 \text{QuantumGroups$\grave{ }$a}^6 z^8-61 \text{QuantumGroups$\grave{ }$a}^4 z^8-71 \text{QuantumGroups$\grave{ }$a}^2 z^8-112 z^8 $Failed^{-1} -73 z^8 $Failed^{-1} +7 z^8 $Failed^{-1} -36 z^8+\text{QuantumGroups$\grave{ }$a}^7 z^7-30 \text{QuantumGroups$\grave{ }$a}^5 z^7+46 \text{QuantumGroups$\grave{ }$a}^3 z^7+204 \text{QuantumGroups$\grave{ }$a} z^7+173 z^7 $Failed^{-1} +12 z^7 $Failed^{-1} -33 z^7 $Failed^{-1} +z^7 $Failed^{-1} -9 \text{QuantumGroups$\grave{ }$a}^6 z^6+40 \text{QuantumGroups$\grave{ }$a}^4 z^6+96 \text{QuantumGroups$\grave{ }$a}^2 z^6+102 z^6 $Failed^{-1} +34 z^6 $Failed^{-1} -6 z^6 $Failed^{-1} +109 z^6-\text{QuantumGroups$\grave{ }$a}^7 z^5+15 \text{QuantumGroups$\grave{ }$a}^5 z^5-8 \text{QuantumGroups$\grave{ }$a}^3 z^5-69 \text{QuantumGroups$\grave{ }$a} z^5-41 z^5 $Failed^{-1} +14 z^5 $Failed^{-1} +10 z^5 $Failed^{-1} +3 \text{QuantumGroups$\grave{ }$a}^6 z^4-8 \text{QuantumGroups$\grave{ }$a}^4 z^4-37 \text{QuantumGroups$\grave{ }$a}^2 z^4-21 z^4 $Failed^{-1} -z^4 $Failed^{-1} -46 z^4-2 \text{QuantumGroups$\grave{ }$a}^5 z^3-6 \text{QuantumGroups$\grave{ }$a}^3 z^3-3 \text{QuantumGroups$\grave{ }$a} z^3-4 z^3 $Failed^{-1} -4 z^3 $Failed^{-1} +z^3 $Failed^{-1} -3 \text{QuantumGroups$\grave{ }$a}^4 z^2-\text{QuantumGroups$\grave{ }$a}^2 z^2-2 z^2 $Failed^{-1} -3 z^2 $Failed^{-1} +3 z^2+3 \text{QuantumGroups$\grave{ }$a}^3 z+5 \text{QuantumGroups$\grave{ }$a} z+3 z $Failed^{-1} +z $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^4+\text{QuantumGroups$\grave{ }$a}^2- $Failed^{-1} }

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