K14n10613

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n10613

Polynomial invariants

Jones polynomial	Data:K14n10613/Jones Polynomial
Alexander polynomial	$-t^{5}+5t^{4}-10t^{3}+8t^{2}+4t-11+4t^{-1}+8t^{-2}-10t^{-3}+5t^{-4}-t^{-5}$
Conway polynomial	Data:K14n10613/Conway Polynomial
Determinant	Data:K14n10613/Determinant
Signature	Data:K14n10613/Signature
HOMFLY-PT polynomial	$-z^{10}a^{-4}+2z^{8}a^{-2}-8z^{8}a^{-4}+z^{8}a^{-6}+13z^{6}a^{-2}-24z^{6}a^{-4}+7z^{6}a^{-6}-z^{6}+27z^{4}a^{-2}-37z^{4}a^{-4}+14z^{4}a^{-6}-z^{4}a^{-8}-5z^{4}+24z^{2}a^{-2}-27z^{2}a^{-4}+11z^{2}a^{-6}-z^{2}a^{-8}-6z^{2}+8a^{-2}-7a^{-4}+2a^{-6}-2$
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 z^{12} $Failed^{-1} +z^{12} $Failed^{-1} +3 z^{11} $Failed^{-1} +6 z^{11} $Failed^{-1} +3 z^{11} $Failed^{-1} +2 z^{10} $Failed^{-1} +2 z^{10} $Failed^{-1} +3 z^{10} $Failed^{-1} +3 z^{10}+\text{QuantumGroups$\grave{ }$a} z^9-16 z^9 $Failed^{-1} -35 z^9 $Failed^{-1} -17 z^9 $Failed^{-1} +z^9 $Failed^{-1} -43 z^8 $Failed^{-1} -46 z^8 $Failed^{-1} -21 z^8 $Failed^{-1} +z^8 $Failed^{-1} -19 z^8-6 \text{QuantumGroups$\grave{ }$a} z^7+18 z^7 $Failed^{-1} +49 z^7 $Failed^{-1} +17 z^7 $Failed^{-1} -6 z^7 $Failed^{-1} +2 z^7 $Failed^{-1} +105 z^6 $Failed^{-1} +112 z^6 $Failed^{-1} +40 z^6 $Failed^{-1} -4 z^6 $Failed^{-1} +z^6 $Failed^{-1} +38 z^6+11 \text{QuantumGroups$\grave{ }$a} z^5+8 z^5 $Failed^{-1} -5 z^5 $Failed^{-1} +10 z^5 $Failed^{-1} +3 z^5 $Failed^{-1} -9 z^5 $Failed^{-1} -97 z^4 $Failed^{-1} -103 z^4 $Failed^{-1} -36 z^4 $Failed^{-1} -2 z^4 $Failed^{-1} -4 z^4 $Failed^{-1} -32 z^4-8 \text{QuantumGroups$\grave{ }$a} z^3-19 z^3 $Failed^{-1} -21 z^3 $Failed^{-1} -17 z^3 $Failed^{-1} +z^3 $Failed^{-1} +8 z^3 $Failed^{-1} +41 z^2 $Failed^{-1} +44 z^2 $Failed^{-1} +15 z^2 $Failed^{-1} +3 z^2 $Failed^{-1} +3 z^2 $Failed^{-1} +12 z^2+2 \text{QuantumGroups$\grave{ }$a} z+6 z $Failed^{-1} +9 z $Failed^{-1} +5 z $Failed^{-1} -2 z $Failed^{-1} -2 z $Failed^{-1} -8 $Failed^{-1} -7 $Failed^{-1} -2 $Failed^{-1} -2}

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