K14n12881

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n12881

Polynomial invariants

Jones polynomial	Data:K14n12881/Jones Polynomial
Alexander polynomial	$2t^{4}-10t^{3}+28t^{2}-52t+65-52t^{-1}+28t^{-2}-10t^{-3}+2t^{-4}$
Conway polynomial	Data:K14n12881/Conway Polynomial
Determinant	Data:K14n12881/Determinant
Signature	Data:K14n12881/Signature
HOMFLY-PT polynomial	$z^{8}a^{-2}+z^{8}-a^{2}z^{6}+4z^{6}a^{-2}-z^{6}a^{-4}+4z^{6}-3a^{2}z^{4}+7z^{4}a^{-2}-2z^{4}a^{-4}+6z^{4}-3a^{2}z^{2}+5z^{2}a^{-2}-z^{2}a^{-4}-z^{2}a^{-6}+2z^{2}+a^{-2}+a^{-4}-a^{-6}$
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 z^{12} $Failed^{-1} +z^{12} $Failed^{-1} +5 z^{11} $Failed^{-1} +7 z^{11} $Failed^{-1} +2 z^{11} $Failed^{-1} +16 z^{10} $Failed^{-1} +6 z^{10} $Failed^{-1} +z^{10} $Failed^{-1} +11 z^{10}+15 \text{QuantumGroups$\grave{ }$a} z^9+12 z^9 $Failed^{-1} -4 z^9 $Failed^{-1} -z^9 $Failed^{-1} +14 \text{QuantumGroups$\grave{ }$a}^2 z^8-37 z^8 $Failed^{-1} -16 z^8 $Failed^{-1} +2 z^8 $Failed^{-1} -5 z^8+9 \text{QuantumGroups$\grave{ }$a}^3 z^7-20 \text{QuantumGroups$\grave{ }$a} z^7-44 z^7 $Failed^{-1} -23 z^7 $Failed^{-1} -5 z^7 $Failed^{-1} +3 z^7 $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^4 z^6-21 \text{QuantumGroups$\grave{ }$a}^2 z^6+20 z^6 $Failed^{-1} +z^6 $Failed^{-1} -15 z^6 $Failed^{-1} -21 z^6+\text{QuantumGroups$\grave{ }$a}^5 z^5-11 \text{QuantumGroups$\grave{ }$a}^3 z^5+7 \text{QuantumGroups$\grave{ }$a} z^5+33 z^5 $Failed^{-1} +22 z^5 $Failed^{-1} -3 z^5 $Failed^{-1} -11 z^5 $Failed^{-1} -4 \text{QuantumGroups$\grave{ }$a}^4 z^4+16 \text{QuantumGroups$\grave{ }$a}^2 z^4-9 z^4 $Failed^{-1} +10 z^4 $Failed^{-1} +20 z^4 $Failed^{-1} +21 z^4-\text{QuantumGroups$\grave{ }$a}^5 z^3+6 \text{QuantumGroups$\grave{ }$a}^3 z^3+3 \text{QuantumGroups$\grave{ }$a} z^3-10 z^3 $Failed^{-1} -8 z^3 $Failed^{-1} +10 z^3 $Failed^{-1} +12 z^3 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^4 z^2-5 \text{QuantumGroups$\grave{ }$a}^2 z^2+5 z^2 $Failed^{-1} -6 z^2 $Failed^{-1} -9 z^2 $Failed^{-1} -4 z^2-\text{QuantumGroups$\grave{ }$a}^3 z-\text{QuantumGroups$\grave{ }$a} z+2 z $Failed^{-1} +2 z $Failed^{-1} -3 z $Failed^{-1} -3 z $Failed^{-1} - $Failed^{-1} + $Failed^{-1} + $Failed^{-1} }

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