K14n10997

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n10997

Polynomial invariants

Jones polynomial	Data:K14n10997/Jones Polynomial
Alexander polynomial	$t^{2}-2t+3-2t^{-1}+t^{-2}$
Conway polynomial	Data:K14n10997/Conway Polynomial
Determinant	Data:K14n10997/Determinant
Signature	Data:K14n10997/Signature
HOMFLY-PT polynomial	$z^{6}a^{-2}-2z^{6}a^{-4}+z^{6}-a^{2}z^{4}+6z^{4}a^{-2}-10z^{4}a^{-4}+3z^{4}a^{-6}+3z^{4}-2a^{2}z^{2}+11z^{2}a^{-2}-16z^{2}a^{-4}+9z^{2}a^{-6}-z^{2}a^{-8}+z^{2}+6a^{-2}-8a^{-4}+6a^{-6}-2a^{-8}-1$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle z^{12} $Failed^{-1} +z^{12} $Failed^{-1} +z^{11} $Failed^{-1} +3 z^{11} $Failed^{-1} +5 z^{11} $Failed^{-1} +3 z^{11} $Failed^{-1} +4 z^{10} $Failed^{-1} -z^{10} $Failed^{-1} +z^{10} $Failed^{-1} +3 z^{10} $Failed^{-1} +3 z^{10}+4 \text{QuantumGroups$\grave{ }$a} z^9-3 z^9 $Failed^{-1} -22 z^9 $Failed^{-1} -31 z^9 $Failed^{-1} -15 z^9 $Failed^{-1} +z^9 $Failed^{-1} +3 \text{QuantumGroups$\grave{ }$a}^2 z^8-32 z^8 $Failed^{-1} -32 z^8 $Failed^{-1} -35 z^8 $Failed^{-1} -18 z^8 $Failed^{-1} -14 z^8+\text{QuantumGroups$\grave{ }$a}^3 z^7-18 \text{QuantumGroups$\grave{ }$a} z^7-9 z^7 $Failed^{-1} +40 z^7 $Failed^{-1} +50 z^7 $Failed^{-1} +14 z^7 $Failed^{-1} -6 z^7 $Failed^{-1} -13 \text{QuantumGroups$\grave{ }$a}^2 z^6+71 z^6 $Failed^{-1} +94 z^6 $Failed^{-1} +84 z^6 $Failed^{-1} +34 z^6 $Failed^{-1} +14 z^6-4 \text{QuantumGroups$\grave{ }$a}^3 z^5+19 \text{QuantumGroups$\grave{ }$a} z^5+22 z^5 $Failed^{-1} -25 z^5 $Failed^{-1} -24 z^5 $Failed^{-1} +12 z^5 $Failed^{-1} +12 z^5 $Failed^{-1} +13 \text{QuantumGroups$\grave{ }$a}^2 z^4-72 z^4 $Failed^{-1} -101 z^4 $Failed^{-1} -74 z^4 $Failed^{-1} -26 z^4 $Failed^{-1} -6 z^4+3 \text{QuantumGroups$\grave{ }$a}^3 z^3-8 \text{QuantumGroups$\grave{ }$a} z^3-17 z^3 $Failed^{-1} -16 z^3 $Failed^{-1} -10 z^3 $Failed^{-1} -4 \text{QuantumGroups$\grave{ }$a}^2 z^2+33 z^2 $Failed^{-1} +47 z^2 $Failed^{-1} +31 z^2 $Failed^{-1} +10 z^2 $Failed^{-1} +3 z^2+2 \text{QuantumGroups$\grave{ }$a} z+5 z $Failed^{-1} +4 z $Failed^{-1} +2 z $Failed^{-1} +4 z $Failed^{-1} +3 z $Failed^{-1} -6 $Failed^{-1} -8 $Failed^{-1} -6 $Failed^{-1} -2 $Failed^{-1} -1}

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