K14n13183

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n13183

Polynomial invariants

Jones polynomial	Data:K14n13183/Jones Polynomial
Alexander polynomial	$4t^{3}-20t^{2}+42t-51+42t^{-1}-20t^{-2}+4t^{-3}$
Conway polynomial	Data:K14n13183/Conway Polynomial
Determinant	Data:K14n13183/Determinant
Signature	Data:K14n13183/Signature
HOMFLY-PT polynomial	$2z^{6}a^{-2}+z^{6}a^{-4}+z^{6}-a^{2}z^{4}+4z^{4}a^{-2}+z^{4}a^{-4}-z^{4}a^{-6}+z^{4}-a^{2}z^{2}+2z^{2}a^{-2}-z^{2}a^{-4}-2z^{2}a^{-6}+a^{-2}-a^{-4}-a^{-6}+a^{-8}+1$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 z^{12} $Failed^{-1} +2 z^{12} $Failed^{-1} +6 z^{11} $Failed^{-1} +10 z^{11} $Failed^{-1} +4 z^{11} $Failed^{-1} +5 z^{10} $Failed^{-1} -z^{10} $Failed^{-1} +2 z^{10} $Failed^{-1} +8 z^{10}+7 \text{QuantumGroups$\grave{ }$a} z^9-16 z^9 $Failed^{-1} -40 z^9 $Failed^{-1} -17 z^9 $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^2 z^8-40 z^8 $Failed^{-1} -16 z^8 $Failed^{-1} -5 z^8 $Failed^{-1} -25 z^8+\text{QuantumGroups$\grave{ }$a}^3 z^7-22 \text{QuantumGroups$\grave{ }$a} z^7+9 z^7 $Failed^{-1} +62 z^7 $Failed^{-1} +33 z^7 $Failed^{-1} +3 z^7 $Failed^{-1} -13 \text{QuantumGroups$\grave{ }$a}^2 z^6+69 z^6 $Failed^{-1} +41 z^6 $Failed^{-1} +7 z^6 $Failed^{-1} +22 z^6-3 \text{QuantumGroups$\grave{ }$a}^3 z^5+16 \text{QuantumGroups$\grave{ }$a} z^5-z^5 $Failed^{-1} -38 z^5 $Failed^{-1} -19 z^5 $Failed^{-1} -z^5 $Failed^{-1} +10 \text{QuantumGroups$\grave{ }$a}^2 z^4-47 z^4 $Failed^{-1} -24 z^4 $Failed^{-1} +4 z^4 $Failed^{-1} +4 z^4 $Failed^{-1} -13 z^4+2 \text{QuantumGroups$\grave{ }$a}^3 z^3-4 \text{QuantumGroups$\grave{ }$a} z^3+13 z^3 $Failed^{-1} -7 z^3 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^2 z^2+12 z^2 $Failed^{-1} +5 z^2 $Failed^{-1} -9 z^2 $Failed^{-1} -7 z^2 $Failed^{-1} +3 z^2-2 z $Failed^{-1} -2 z $Failed^{-1} +4 z $Failed^{-1} +4 z $Failed^{-1} - $Failed^{-1} - $Failed^{-1} + $Failed^{-1} + $Failed^{-1} +1}

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