K14a2413

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a2413

Polynomial invariants

Jones polynomial	Data:K14a2413/Jones Polynomial
Alexander polynomial	$-t^{5}+9t^{4}-37t^{3}+92t^{2}-153t+181-153t^{-1}+92t^{-2}-37t^{-3}+9t^{-4}-t^{-5}$
Conway polynomial	Data:K14a2413/Conway Polynomial
Determinant	Data:K14a2413/Determinant
Signature	Data:K14a2413/Signature
HOMFLY-PT polynomial	$-z^{10}+2a^{2}z^{8}+2z^{8}a^{-2}-5z^{8}-a^{4}z^{6}+7a^{2}z^{6}+7z^{6}a^{-2}-z^{6}a^{-4}-12z^{6}-2a^{4}z^{4}+9a^{2}z^{4}+8z^{4}a^{-2}-2z^{4}a^{-4}-13z^{4}-a^{4}z^{2}+3a^{2}z^{2}-z^{2}-2a^{2}-4a^{-2}+a^{-4}+6$
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 4 \text{QuantumGroups$\grave{ }$a} z^{13}+4 z^{13} $Failed^{-1} +17 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+15 z^{12} $Failed^{-1} +32 z^{12}+30 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+65 \text{QuantumGroups$\grave{ }$a} z^{11}+60 z^{11} $Failed^{-1} +25 z^{11} $Failed^{-1} +29 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+34 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+37 z^{10} $Failed^{-1} +25 z^{10} $Failed^{-1} +17 z^{10}+17 \text{QuantumGroups$\grave{ }$a}^5 z^9-36 \text{QuantumGroups$\grave{ }$a}^3 z^9-139 \text{QuantumGroups$\grave{ }$a} z^9-116 z^9 $Failed^{-1} -14 z^9 $Failed^{-1} +16 z^9 $Failed^{-1} +6 \text{QuantumGroups$\grave{ }$a}^6 z^8-57 \text{QuantumGroups$\grave{ }$a}^4 z^8-156 \text{QuantumGroups$\grave{ }$a}^2 z^8-143 z^8 $Failed^{-1} -41 z^8 $Failed^{-1} +6 z^8 $Failed^{-1} -189 z^8+\text{QuantumGroups$\grave{ }$a}^7 z^7-32 \text{QuantumGroups$\grave{ }$a}^5 z^7-22 \text{QuantumGroups$\grave{ }$a}^3 z^7+47 \text{QuantumGroups$\grave{ }$a} z^7+10 z^7 $Failed^{-1} -58 z^7 $Failed^{-1} -31 z^7 $Failed^{-1} +z^7 $Failed^{-1} -9 \text{QuantumGroups$\grave{ }$a}^6 z^6+41 \text{QuantumGroups$\grave{ }$a}^4 z^6+163 \text{QuantumGroups$\grave{ }$a}^2 z^6+132 z^6 $Failed^{-1} +17 z^6 $Failed^{-1} -10 z^6 $Failed^{-1} +218 z^6-\text{QuantumGroups$\grave{ }$a}^7 z^5+21 \text{QuantumGroups$\grave{ }$a}^5 z^5+47 \text{QuantumGroups$\grave{ }$a}^3 z^5+52 \text{QuantumGroups$\grave{ }$a} z^5+79 z^5 $Failed^{-1} +76 z^5 $Failed^{-1} +23 z^5 $Failed^{-1} -z^5 $Failed^{-1} +3 \text{QuantumGroups$\grave{ }$a}^6 z^4-15 \text{QuantumGroups$\grave{ }$a}^4 z^4-68 \text{QuantumGroups$\grave{ }$a}^2 z^4-47 z^4 $Failed^{-1} +2 z^4 $Failed^{-1} +5 z^4 $Failed^{-1} -94 z^4-6 \text{QuantumGroups$\grave{ }$a}^5 z^3-17 \text{QuantumGroups$\grave{ }$a}^3 z^3-30 \text{QuantumGroups$\grave{ }$a} z^3-40 z^3 $Failed^{-1} -27 z^3 $Failed^{-1} -6 z^3 $Failed^{-1} +3 \text{QuantumGroups$\grave{ }$a}^4 z^2+9 \text{QuantumGroups$\grave{ }$a}^2 z^2+2 z^2 $Failed^{-1} -z^2 $Failed^{-1} +9 z^2-\text{QuantumGroups$\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} +6}

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