K14n6181

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n6181

Polynomial invariants

Jones polynomial	Data:K14n6181/Jones Polynomial
Alexander polynomial	$-t^{4}+5t^{3}-17t^{2}+38t-49+38t^{-1}-17t^{-2}+5t^{-3}-t^{-4}$
Conway polynomial	Data:K14n6181/Conway Polynomial
Determinant	Data:K14n6181/Determinant
Signature	Data:K14n6181/Signature
HOMFLY-PT polynomial	$-z^{8}a^{-2}-5z^{6}a^{-2}+z^{6}a^{-4}+z^{6}-11z^{4}a^{-2}+3z^{4}a^{-4}+z^{4}+2a^{2}z^{2}-9z^{2}a^{-2}+7z^{2}a^{-4}-z^{2}+2a^{2}-2a^{-2}+5a^{-4}-2a^{-6}-2$
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^{11} $Failed^{-1} +2 z^{11} $Failed^{-1} +11 z^{10} $Failed^{-1} +6 z^{10} $Failed^{-1} +5 z^{10}+3 \text{QuantumGroups$\grave{ }$a} z^9+7 z^9 $Failed^{-1} +10 z^9 $Failed^{-1} +6 z^9 $Failed^{-1} -22 z^8 $Failed^{-1} -8 z^8 $Failed^{-1} +2 z^8 $Failed^{-1} -12 z^8-3 \text{QuantumGroups$\grave{ }$a} z^7-24 z^7 $Failed^{-1} -29 z^7 $Failed^{-1} -8 z^7 $Failed^{-1} +6 \text{QuantumGroups$\grave{ }$a}^2 z^6+14 z^6 $Failed^{-1} +8 z^6 $Failed^{-1} +6 z^6 $Failed^{-1} +18 z^6-8 \text{QuantumGroups$\grave{ }$a} z^5+8 z^5 $Failed^{-1} +21 z^5 $Failed^{-1} +11 z^5 $Failed^{-1} +6 z^5 $Failed^{-1} -17 \text{QuantumGroups$\grave{ }$a}^2 z^4-15 z^4 $Failed^{-1} -4 z^4 $Failed^{-1} -4 z^4 $Failed^{-1} +z^4 $Failed^{-1} -33 z^4+11 \text{QuantumGroups$\grave{ }$a} z^3+10 z^3 $Failed^{-1} -z^3 $Failed^{-1} -2 z^3 $Failed^{-1} +13 \text{QuantumGroups$\grave{ }$a}^2 z^2+7 z^2 $Failed^{-1} -3 z^2 $Failed^{-1} -z^2 $Failed^{-1} +22 z^2-5 \text{QuantumGroups$\grave{ }$a} z-9 z $Failed^{-1} -6 z $Failed^{-1} -4 z $Failed^{-1} -2 z $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^2+2 $Failed^{-1} +5 $Failed^{-1} +2 $Failed^{-1} -2}

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