K14n18016

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n18016

Polynomial invariants

Jones polynomial	Data:K14n18016/Jones Polynomial
Alexander polynomial	$-2t^{4}+11t^{3}-30t^{2}+52t-61+52t^{-1}-30t^{-2}+11t^{-3}-2t^{-4}$
Conway polynomial	Data:K14n18016/Conway Polynomial
Determinant	Data:K14n18016/Determinant
Signature	Data:K14n18016/Signature
HOMFLY-PT polynomial	$-z^{8}a^{-2}-z^{8}+a^{2}z^{6}-3z^{6}a^{-2}+z^{6}a^{-4}-4z^{6}+3a^{2}z^{4}-2z^{4}a^{-2}+2z^{4}a^{-4}-7z^{4}+3a^{2}z^{2}+z^{2}a^{-2}+z^{2}a^{-4}-6z^{2}+a^{2}+a^{-2}-1$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 z^{12} $Failed^{-1} +2 z^{12}+6 \text{QuantumGroups$\grave{ }$a} z^{11}+14 z^{11} $Failed^{-1} +8 z^{11} $Failed^{-1} +7 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+20 z^{10} $Failed^{-1} +12 z^{10} $Failed^{-1} +15 z^{10}+4 \text{QuantumGroups$\grave{ }$a}^3 z^9-10 \text{QuantumGroups$\grave{ }$a} z^9-31 z^9 $Failed^{-1} -9 z^9 $Failed^{-1} +8 z^9 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^4 z^8-25 \text{QuantumGroups$\grave{ }$a}^2 z^8-86 z^8 $Failed^{-1} -36 z^8 $Failed^{-1} +2 z^8 $Failed^{-1} -74 z^8-16 \text{QuantumGroups$\grave{ }$a}^3 z^7-21 \text{QuantumGroups$\grave{ }$a} z^7-12 z^7 $Failed^{-1} -27 z^7 $Failed^{-1} -20 z^7 $Failed^{-1} -4 \text{QuantumGroups$\grave{ }$a}^4 z^6+27 \text{QuantumGroups$\grave{ }$a}^2 z^6+110 z^6 $Failed^{-1} +49 z^6 $Failed^{-1} +3 z^6 $Failed^{-1} +95 z^6+21 \text{QuantumGroups$\grave{ }$a}^3 z^5+44 \text{QuantumGroups$\grave{ }$a} z^5+55 z^5 $Failed^{-1} +60 z^5 $Failed^{-1} +33 z^5 $Failed^{-1} +5 z^5 $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^4 z^4-13 \text{QuantumGroups$\grave{ }$a}^2 z^4-62 z^4 $Failed^{-1} -24 z^4 $Failed^{-1} -z^4 $Failed^{-1} +z^4 $Failed^{-1} -58 z^4-11 \text{QuantumGroups$\grave{ }$a}^3 z^3-27 \text{QuantumGroups$\grave{ }$a} z^3-41 z^3 $Failed^{-1} -39 z^3 $Failed^{-1} -19 z^3 $Failed^{-1} -5 z^3 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^4 z^2+5 \text{QuantumGroups$\grave{ }$a}^2 z^2+13 z^2 $Failed^{-1} +4 z^2 $Failed^{-1} -z^2 $Failed^{-1} +17 z^2+2 \text{QuantumGroups$\grave{ }$a}^3 z+6 \text{QuantumGroups$\grave{ }$a} z+9 z $Failed^{-1} +8 z $Failed^{-1} +4 z $Failed^{-1} +z $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^2- $Failed^{-1} -1}

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