K14n11688

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n11688

Polynomial invariants

Jones polynomial	Data:K14n11688/Jones Polynomial
Alexander polynomial	$-t^{4}+8t^{3}-28t^{2}+58t-73+58t^{-1}-28t^{-2}+8t^{-3}-t^{-4}$
Conway polynomial	Data:K14n11688/Conway Polynomial
Determinant	Data:K14n11688/Determinant
Signature	Data:K14n11688/Signature
HOMFLY-PT polynomial	$-z^{8}a^{-4}+2z^{6}a^{-2}-4z^{6}a^{-4}+2z^{6}a^{-6}+6z^{4}a^{-2}-9z^{4}a^{-4}+5z^{4}a^{-6}-z^{4}a^{-8}-z^{4}+9z^{2}a^{-2}-10z^{2}a^{-4}+6z^{2}a^{-6}-z^{2}a^{-8}-2z^{2}+5a^{-2}-5a^{-4}+3a^{-6}-a^{-8}-1$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 3 z^{12} $Failed^{-1} +3 z^{12} $Failed^{-1} +6 z^{11} $Failed^{-1} +17 z^{11} $Failed^{-1} +11 z^{11} $Failed^{-1} +4 z^{10} $Failed^{-1} +5 z^{10} $Failed^{-1} +17 z^{10} $Failed^{-1} +16 z^{10} $Failed^{-1} +z^9 $Failed^{-1} -19 z^9 $Failed^{-1} -54 z^9 $Failed^{-1} -22 z^9 $Failed^{-1} +12 z^9 $Failed^{-1} -12 z^8 $Failed^{-1} -45 z^8 $Failed^{-1} -88 z^8 $Failed^{-1} -50 z^8 $Failed^{-1} +5 z^8 $Failed^{-1} +2 z^7 $Failed^{-1} +32 z^7 $Failed^{-1} +56 z^7 $Failed^{-1} -10 z^7 $Failed^{-1} -35 z^7 $Failed^{-1} +z^7 $Failed^{-1} +32 z^6 $Failed^{-1} +96 z^6 $Failed^{-1} +127 z^6 $Failed^{-1} +47 z^6 $Failed^{-1} -12 z^6 $Failed^{-1} +4 z^6+\text{QuantumGroups$\grave{ }$a} z^5-10 z^5 $Failed^{-1} -2 z^5 $Failed^{-1} +35 z^5 $Failed^{-1} +26 z^5 $Failed^{-1} -2 z^5 $Failed^{-1} -37 z^4 $Failed^{-1} -77 z^4 $Failed^{-1} -76 z^4 $Failed^{-1} -24 z^4 $Failed^{-1} +4 z^4 $Failed^{-1} -8 z^4-2 \text{QuantumGroups$\grave{ }$a} z^3-6 z^3 $Failed^{-1} -10 z^3 $Failed^{-1} -18 z^3 $Failed^{-1} -21 z^3 $Failed^{-1} -9 z^3 $Failed^{-1} +20 z^2 $Failed^{-1} +29 z^2 $Failed^{-1} +21 z^2 $Failed^{-1} +7 z^2 $Failed^{-1} +5 z^2+\text{QuantumGroups$\grave{ }$a} z+3 z $Failed^{-1} +5 z $Failed^{-1} +5 z $Failed^{-1} +4 z $Failed^{-1} +2 z $Failed^{-1} -5 $Failed^{-1} -5 $Failed^{-1} -3 $Failed^{-1} - $Failed^{-1} -1}

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