K14n12928

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n12928

Polynomial invariants

Jones polynomial	Data:K14n12928/Jones Polynomial
Alexander polynomial	$-2t^{3}+11t^{2}-26t+35-26t^{-1}+11t^{-2}-2t^{-3}$
Conway polynomial	Data:K14n12928/Conway Polynomial
Determinant	Data:K14n12928/Determinant
Signature	Data:K14n12928/Signature
HOMFLY-PT polynomial	$-a^{2}z^{6}-z^{6}+a^{4}z^{4}-3a^{2}z^{4}+3z^{4}a^{-2}-2z^{4}+2a^{4}z^{2}-4a^{2}z^{2}+7z^{2}a^{-2}-2z^{2}a^{-4}-3z^{2}+a^{4}-a^{2}+5a^{-2}-2a^{-4}-2$
Kauffman polynomial	Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle z^{12} $Failed^{-1} +z^{12}+3 \text{QuantumGroups$\grave{ }$a} z^{11}+4 z^{11} $Failed^{-1} +z^{11} $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^2 z^{10}-5 z^{10} $Failed^{-1} +6 \text{QuantumGroups$\grave{ }$a}^3 z^9-9 \text{QuantumGroups$\grave{ }$a} z^9-21 z^9 $Failed^{-1} -6 z^9 $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^4 z^8-18 \text{QuantumGroups$\grave{ }$a}^2 z^8+11 z^8 $Failed^{-1} +z^8 $Failed^{-1} -13 z^8+3 \text{QuantumGroups$\grave{ }$a}^5 z^7-22 \text{QuantumGroups$\grave{ }$a}^3 z^7+2 \text{QuantumGroups$\grave{ }$a} z^7+46 z^7 $Failed^{-1} +19 z^7 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^6 z^6-16 \text{QuantumGroups$\grave{ }$a}^4 z^6+20 \text{QuantumGroups$\grave{ }$a}^2 z^6-3 z^6 $Failed^{-1} +z^6 $Failed^{-1} +33 z^6-9 \text{QuantumGroups$\grave{ }$a}^5 z^5+27 \text{QuantumGroups$\grave{ }$a}^3 z^5+24 \text{QuantumGroups$\grave{ }$a} z^5-40 z^5 $Failed^{-1} -26 z^5 $Failed^{-1} +2 z^5 $Failed^{-1} -3 \text{QuantumGroups$\grave{ }$a}^6 z^4+12 \text{QuantumGroups$\grave{ }$a}^4 z^4-16 z^4 $Failed^{-1} -10 z^4 $Failed^{-1} -21 z^4+4 \text{QuantumGroups$\grave{ }$a}^5 z^3-15 \text{QuantumGroups$\grave{ }$a}^3 z^3-20 \text{QuantumGroups$\grave{ }$a} z^3+14 z^3 $Failed^{-1} +10 z^3 $Failed^{-1} -5 z^3 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^6 z^2-4 \text{QuantumGroups$\grave{ }$a}^4 z^2-7 \text{QuantumGroups$\grave{ }$a}^2 z^2+17 z^2 $Failed^{-1} +8 z^2 $Failed^{-1} +7 z^2+3 \text{QuantumGroups$\grave{ }$a}^3 z+4 \text{QuantumGroups$\grave{ }$a} z+z $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^4+\text{QuantumGroups$\grave{ }$a}^2-5 $Failed^{-1} -2 $Failed^{-1} -2}

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