K14a2273

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a2273

Polynomial invariants

Jones polynomial	Data:K14a2273/Jones Polynomial
Alexander polynomial	$-t^{5}+8t^{4}-32t^{3}+81t^{2}-140t+169-140t^{-1}+81t^{-2}-32t^{-3}+8t^{-4}-t^{-5}$
Conway polynomial	Data:K14a2273/Conway Polynomial
Determinant	Data:K14a2273/Determinant
Signature	Data:K14a2273/Signature
HOMFLY-PT polynomial	$-z^{10}+a^{2}z^{8}+3z^{8}a^{-2}-6z^{8}+4a^{2}z^{6}+13z^{6}a^{-2}-3z^{6}a^{-4}-17z^{6}+7a^{2}z^{4}+23z^{4}a^{-2}-8z^{4}a^{-4}+z^{4}a^{-6}-24z^{4}+5a^{2}z^{2}+17z^{2}a^{-2}-7z^{2}a^{-4}+z^{2}a^{-6}-17z^{2}+2a^{2}+4a^{-2}-a^{-4}-4$
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 z^{13} $Failed^{-1} +3 z^{13} $Failed^{-1} +28 z^{12} $Failed^{-1} +12 z^{12} $Failed^{-1} +16 z^{12}+33 \text{QuantumGroups$\grave{ }$a} z^{11}+69 z^{11} $Failed^{-1} +55 z^{11} $Failed^{-1} +19 z^{11} $Failed^{-1} +37 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+13 z^{10} $Failed^{-1} +21 z^{10} $Failed^{-1} +15 z^{10} $Failed^{-1} +44 z^{10}+27 \text{QuantumGroups$\grave{ }$a}^3 z^9-37 \text{QuantumGroups$\grave{ }$a} z^9-179 z^9 $Failed^{-1} -159 z^9 $Failed^{-1} -38 z^9 $Failed^{-1} +6 z^9 $Failed^{-1} +14 \text{QuantumGroups$\grave{ }$a}^4 z^8-67 \text{QuantumGroups$\grave{ }$a}^2 z^8-219 z^8 $Failed^{-1} -148 z^8 $Failed^{-1} -43 z^8 $Failed^{-1} +z^8 $Failed^{-1} -196 z^8+5 \text{QuantumGroups$\grave{ }$a}^5 z^7-44 \text{QuantumGroups$\grave{ }$a}^3 z^7-16 \text{QuantumGroups$\grave{ }$a} z^7+134 z^7 $Failed^{-1} +118 z^7 $Failed^{-1} +z^7 $Failed^{-1} -16 z^7 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^6 z^6-18 \text{QuantumGroups$\grave{ }$a}^4 z^6+59 \text{QuantumGroups$\grave{ }$a}^2 z^6+312 z^6 $Failed^{-1} +195 z^6 $Failed^{-1} +43 z^6 $Failed^{-1} -2 z^6 $Failed^{-1} +240 z^6-5 \text{QuantumGroups$\grave{ }$a}^5 z^5+35 \text{QuantumGroups$\grave{ }$a}^3 z^5+39 \text{QuantumGroups$\grave{ }$a} z^5-32 z^5 $Failed^{-1} -13 z^5 $Failed^{-1} +32 z^5 $Failed^{-1} +14 z^5 $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^6 z^4+10 \text{QuantumGroups$\grave{ }$a}^4 z^4-30 \text{QuantumGroups$\grave{ }$a}^2 z^4-186 z^4 $Failed^{-1} -103 z^4 $Failed^{-1} -18 z^4 $Failed^{-1} +z^4 $Failed^{-1} -143 z^4+\text{QuantumGroups$\grave{ }$a}^5 z^3-12 \text{QuantumGroups$\grave{ }$a}^3 z^3-16 \text{QuantumGroups$\grave{ }$a} z^3-2 z^3 $Failed^{-1} -10 z^3 $Failed^{-1} -15 z^3 $Failed^{-1} -4 z^3 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^4 z^2+10 \text{QuantumGroups$\grave{ }$a}^2 z^2+48 z^2 $Failed^{-1} +22 z^2 $Failed^{-1} +3 z^2 $Failed^{-1} +41 z^2+\text{QuantumGroups$\grave{ }$a}^3 z+\text{QuantumGroups$\grave{ }$a} z+z $Failed^{-1} +2 z $Failed^{-1} +z $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^2-4 $Failed^{-1} - $Failed^{-1} -4}

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