K14n11351

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n11351

Polynomial invariants

Jones polynomial	Data:K14n11351/Jones Polynomial
Alexander polynomial	$t^{5}-5t^{4}+15t^{3}-30t^{2}+45t-51+45t^{-1}-30t^{-2}+15t^{-3}-5t^{-4}+t^{-5}$
Conway polynomial	Data:K14n11351/Conway Polynomial
Determinant	Data:K14n11351/Determinant
Signature	Data:K14n11351/Signature
HOMFLY-PT polynomial	$z^{10}a^{-2}+8z^{8}a^{-2}-z^{8}a^{-4}-2z^{8}+a^{2}z^{6}+27z^{6}a^{-2}-7z^{6}a^{-4}-11z^{6}+3a^{2}z^{4}+47z^{4}a^{-2}-19z^{4}a^{-4}+z^{4}a^{-6}-22z^{4}+2a^{2}z^{2}+42z^{2}a^{-2}-23z^{2}a^{-4}+3z^{2}a^{-6}-19z^{2}+16a^{-2}-11a^{-4}+2a^{-6}-6$
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 2 z^{12} $Failed^{-1} +2 z^{12}+7 \text{QuantumGroups$\grave{ }$a} z^{11}+14 z^{11} $Failed^{-1} +7 z^{11} $Failed^{-1} +9 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+18 z^{10} $Failed^{-1} +10 z^{10} $Failed^{-1} +17 z^{10}+5 \text{QuantumGroups$\grave{ }$a}^3 z^9-13 \text{QuantumGroups$\grave{ }$a} z^9-33 z^9 $Failed^{-1} -8 z^9 $Failed^{-1} +7 z^9 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^4 z^8-34 \text{QuantumGroups$\grave{ }$a}^2 z^8-86 z^8 $Failed^{-1} -32 z^8 $Failed^{-1} +2 z^8 $Failed^{-1} -87 z^8-19 \text{QuantumGroups$\grave{ }$a}^3 z^7-24 \text{QuantumGroups$\grave{ }$a} z^7-12 z^7 $Failed^{-1} -28 z^7 $Failed^{-1} -21 z^7 $Failed^{-1} -3 \text{QuantumGroups$\grave{ }$a}^4 z^6+38 \text{QuantumGroups$\grave{ }$a}^2 z^6+131 z^6 $Failed^{-1} +54 z^6 $Failed^{-1} +z^6 $Failed^{-1} +119 z^6+21 \text{QuantumGroups$\grave{ }$a}^3 z^5+54 \text{QuantumGroups$\grave{ }$a} z^5+69 z^5 $Failed^{-1} +75 z^5 $Failed^{-1} +44 z^5 $Failed^{-1} +5 z^5 $Failed^{-1} +2 \text{QuantumGroups$\grave{ }$a}^4 z^4-16 \text{QuantumGroups$\grave{ }$a}^2 z^4-108 z^4 $Failed^{-1} -48 z^4 $Failed^{-1} +z^4 $Failed^{-1} +z^4 $Failed^{-1} -78 z^4-6 \text{QuantumGroups$\grave{ }$a}^3 z^3-30 \text{QuantumGroups$\grave{ }$a} z^3-62 z^3 $Failed^{-1} -71 z^3 $Failed^{-1} -39 z^3 $Failed^{-1} -6 z^3 $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^2 z^2+54 z^2 $Failed^{-1} +30 z^2 $Failed^{-1} +z^2 $Failed^{-1} -z^2 $Failed^{-1} +30 z^2-\text{QuantumGroups$\grave{ }$a}^3 z+5 \text{QuantumGroups$\grave{ }$a} z+19 z $Failed^{-1} +26 z $Failed^{-1} +15 z $Failed^{-1} +2 z $Failed^{-1} -16 $Failed^{-1} -11 $Failed^{-1} -2 $Failed^{-1} -6}

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