K14a18228

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a18228

Polynomial invariants

Jones polynomial	Data:K14a18228/Jones Polynomial
Alexander polynomial	$-2t^{5}+12t^{4}-36t^{3}+73t^{2}-108t+123-108t^{-1}+73t^{-2}-36t^{-3}+12t^{-4}-2t^{-5}$
Conway polynomial	Data:K14a18228/Conway Polynomial
Determinant	Data:K14a18228/Determinant
Signature	Data:K14a18228/Signature
HOMFLY-PT polynomial	$-z^{10}a^{-2}-z^{10}+a^{2}z^{8}-5z^{8}a^{-2}+z^{8}a^{-4}-5z^{8}+4a^{2}z^{6}-9z^{6}a^{-2}+4z^{6}a^{-4}-9z^{6}+5a^{2}z^{4}-6z^{4}a^{-2}+5z^{4}a^{-4}-7z^{4}+2a^{2}z^{2}+2z^{2}a^{-2}+z^{2}a^{-4}-3z^{2}+4a^{-2}-2a^{-4}-1$
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 5 z^{13} $Failed^{-1} +5 z^{13} $Failed^{-1} +30 z^{12} $Failed^{-1} +14 z^{12} $Failed^{-1} +16 z^{12}+26 \text{QuantumGroups$\grave{ }$a} z^{11}+32 z^{11} $Failed^{-1} +23 z^{11} $Failed^{-1} +17 z^{11} $Failed^{-1} +29 \text{QuantumGroups$\grave{ }$a}^2 z^{10}-70 z^{10} $Failed^{-1} -26 z^{10} $Failed^{-1} +12 z^{10} $Failed^{-1} -3 z^{10}+23 \text{QuantumGroups$\grave{ }$a}^3 z^9-39 \text{QuantumGroups$\grave{ }$a} z^9-107 z^9 $Failed^{-1} -101 z^9 $Failed^{-1} -51 z^9 $Failed^{-1} +5 z^9 $Failed^{-1} +13 \text{QuantumGroups$\grave{ }$a}^4 z^8-55 \text{QuantumGroups$\grave{ }$a}^2 z^8+50 z^8 $Failed^{-1} -5 z^8 $Failed^{-1} -39 z^8 $Failed^{-1} +z^8 $Failed^{-1} -53 z^8+5 \text{QuantumGroups$\grave{ }$a}^5 z^7-41 \text{QuantumGroups$\grave{ }$a}^3 z^7+6 \text{QuantumGroups$\grave{ }$a} z^7+106 z^7 $Failed^{-1} +117 z^7 $Failed^{-1} +47 z^7 $Failed^{-1} -16 z^7 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^6 z^6-19 \text{QuantumGroups$\grave{ }$a}^4 z^6+43 \text{QuantumGroups$\grave{ }$a}^2 z^6-23 z^6 $Failed^{-1} +19 z^6 $Failed^{-1} +40 z^6 $Failed^{-1} -3 z^6 $Failed^{-1} +64 z^6-6 \text{QuantumGroups$\grave{ }$a}^5 z^5+29 \text{QuantumGroups$\grave{ }$a}^3 z^5+23 \text{QuantumGroups$\grave{ }$a} z^5-41 z^5 $Failed^{-1} -61 z^5 $Failed^{-1} -17 z^5 $Failed^{-1} +15 z^5 $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^6 z^4+8 \text{QuantumGroups$\grave{ }$a}^4 z^4-15 \text{QuantumGroups$\grave{ }$a}^2 z^4+15 z^4 $Failed^{-1} -3 z^4 $Failed^{-1} -16 z^4 $Failed^{-1} +2 z^4 $Failed^{-1} -24 z^4+\text{QuantumGroups$\grave{ }$a}^5 z^3-9 \text{QuantumGroups$\grave{ }$a}^3 z^3-15 \text{QuantumGroups$\grave{ }$a} z^3+2 z^3 $Failed^{-1} +12 z^3 $Failed^{-1} -5 z^3 $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^4 z^2+2 \text{QuantumGroups$\grave{ }$a}^2 z^2-z^2 $Failed^{-1} +z^2 $Failed^{-1} +3 z^2+\text{QuantumGroups$\grave{ }$a}^3 z+3 \text{QuantumGroups$\grave{ }$a} z+3 z $Failed^{-1} +3 z $Failed^{-1} +2 z $Failed^{-1} -4 $Failed^{-1} -2 $Failed^{-1} -1}

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