K14n17773

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n17773

Polynomial invariants

Jones polynomial	Data:K14n17773/Jones Polynomial
Alexander polynomial	$5t^{3}-27t^{2}+65t-85+65t^{-1}-27t^{-2}+5t^{-3}$
Conway polynomial	Data:K14n17773/Conway Polynomial
Determinant	Data:K14n17773/Determinant
Signature	Data:K14n17773/Signature
HOMFLY-PT polynomial	$3z^{6}a^{-2}+z^{6}a^{-4}+z^{6}-a^{2}z^{4}+7z^{4}a^{-2}-z^{4}a^{-4}-z^{4}a^{-6}-z^{4}+8z^{2}a^{-2}-3z^{2}a^{-4}-3z^{2}+4a^{-2}-2a^{-4}-1$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 3 z^{12} $Failed^{-1} +3 z^{12} $Failed^{-1} +11 z^{11} $Failed^{-1} +17 z^{11} $Failed^{-1} +6 z^{11} $Failed^{-1} +18 z^{10} $Failed^{-1} +6 z^{10} $Failed^{-1} +4 z^{10} $Failed^{-1} +16 z^{10}+12 \text{QuantumGroups$\grave{ }$a} z^9-21 z^9 $Failed^{-1} -48 z^9 $Failed^{-1} -14 z^9 $Failed^{-1} +z^9 $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^2 z^8-86 z^8 $Failed^{-1} -35 z^8 $Failed^{-1} -4 z^8 $Failed^{-1} -50 z^8+\text{QuantumGroups$\grave{ }$a}^3 z^7-35 \text{QuantumGroups$\grave{ }$a} z^7-10 z^7 $Failed^{-1} +45 z^7 $Failed^{-1} +26 z^7 $Failed^{-1} +7 z^7 $Failed^{-1} -12 \text{QuantumGroups$\grave{ }$a}^2 z^6+120 z^6 $Failed^{-1} +64 z^6 $Failed^{-1} +10 z^6 $Failed^{-1} +5 z^6 $Failed^{-1} +49 z^6-2 \text{QuantumGroups$\grave{ }$a}^3 z^5+26 \text{QuantumGroups$\grave{ }$a} z^5+35 z^5 $Failed^{-1} +2 z^5 $Failed^{-1} -16 z^5 $Failed^{-1} -10 z^5 $Failed^{-1} +z^5 $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^2 z^4-70 z^4 $Failed^{-1} -46 z^4 $Failed^{-1} -11 z^4 $Failed^{-1} -6 z^4 $Failed^{-1} -25 z^4-8 \text{QuantumGroups$\grave{ }$a} z^3-22 z^3 $Failed^{-1} -21 z^3 $Failed^{-1} -3 z^3 $Failed^{-1} +3 z^3 $Failed^{-1} -z^3 $Failed^{-1} +19 z^2 $Failed^{-1} +13 z^2 $Failed^{-1} +3 z^2 $Failed^{-1} +z^2 $Failed^{-1} +8 z^2+2 \text{QuantumGroups$\grave{ }$a} z+6 z $Failed^{-1} +8 z $Failed^{-1} +4 z $Failed^{-1} -4 $Failed^{-1} -2 $Failed^{-1} -1}

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