K14a13184

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a13184

Polynomial invariants

Jones polynomial	Data:K14a13184/Jones Polynomial
Alexander polynomial	$4t^{4}-19t^{3}+49t^{2}-83t+99-83t^{-1}+49t^{-2}-19t^{-3}+4t^{-4}$
Conway polynomial	Data:K14a13184/Conway Polynomial
Determinant	Data:K14a13184/Determinant
Signature	Data:K14a13184/Signature
HOMFLY-PT polynomial	$a^{4}z^{8}+2a^{2}z^{8}+z^{8}-a^{6}z^{6}+4a^{4}z^{6}+8a^{2}z^{6}-z^{6}a^{-2}+3z^{6}-4a^{6}z^{4}+8a^{4}z^{4}+11a^{2}z^{4}-3z^{4}a^{-2}+3z^{4}-6a^{6}z^{2}+9a^{4}z^{2}+5a^{2}z^{2}-3z^{2}a^{-2}+z^{2}-3a^{6}+4a^{4}-a^{-2}+1$
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 2 \text{QuantumGroups$\grave{ }$a}^5 z^{13}+2 \text{QuantumGroups$\grave{ }$a}^3 z^{13}+5 \text{QuantumGroups$\grave{ }$a}^6 z^{12}+14 \text{QuantumGroups$\grave{ }$a}^4 z^{12}+9 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+5 \text{QuantumGroups$\grave{ }$a}^7 z^{11}+10 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+24 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+19 \text{QuantumGroups$\grave{ }$a} z^{11}+3 \text{QuantumGroups$\grave{ }$a}^8 z^{10}-13 \text{QuantumGroups$\grave{ }$a}^6 z^{10}-34 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+8 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+26 z^{10}+\text{QuantumGroups$\grave{ }$a}^9 z^9-20 \text{QuantumGroups$\grave{ }$a}^7 z^9-56 \text{QuantumGroups$\grave{ }$a}^5 z^9-85 \text{QuantumGroups$\grave{ }$a}^3 z^9-25 \text{QuantumGroups$\grave{ }$a} z^9+25 z^9 $Failed^{-1} -15 \text{QuantumGroups$\grave{ }$a}^8 z^8+\text{QuantumGroups$\grave{ }$a}^6 z^8+12 \text{QuantumGroups$\grave{ }$a}^4 z^8-73 \text{QuantumGroups$\grave{ }$a}^2 z^8+18 z^8 $Failed^{-1} -51 z^8-6 \text{QuantumGroups$\grave{ }$a}^9 z^7+23 \text{QuantumGroups$\grave{ }$a}^7 z^7+76 \text{QuantumGroups$\grave{ }$a}^5 z^7+79 \text{QuantumGroups$\grave{ }$a}^3 z^7-25 \text{QuantumGroups$\grave{ }$a} z^7-47 z^7 $Failed^{-1} +10 z^7 $Failed^{-1} +26 \text{QuantumGroups$\grave{ }$a}^8 z^6+9 \text{QuantumGroups$\grave{ }$a}^6 z^6-8 \text{QuantumGroups$\grave{ }$a}^4 z^6+71 \text{QuantumGroups$\grave{ }$a}^2 z^6-27 z^6 $Failed^{-1} +4 z^6 $Failed^{-1} +31 z^6+13 \text{QuantumGroups$\grave{ }$a}^9 z^5-3 \text{QuantumGroups$\grave{ }$a}^7 z^5-50 \text{QuantumGroups$\grave{ }$a}^5 z^5-35 \text{QuantumGroups$\grave{ }$a}^3 z^5+49 \text{QuantumGroups$\grave{ }$a} z^5+38 z^5 $Failed^{-1} -11 z^5 $Failed^{-1} +z^5 $Failed^{-1} -18 \text{QuantumGroups$\grave{ }$a}^8 z^4+8 \text{QuantumGroups$\grave{ }$a}^6 z^4+30 \text{QuantumGroups$\grave{ }$a}^4 z^4-22 \text{QuantumGroups$\grave{ }$a}^2 z^4+20 z^4 $Failed^{-1} -3 z^4 $Failed^{-1} -3 z^4-12 \text{QuantumGroups$\grave{ }$a}^9 z^3-6 \text{QuantumGroups$\grave{ }$a}^7 z^3+25 \text{QuantumGroups$\grave{ }$a}^5 z^3+11 \text{QuantumGroups$\grave{ }$a}^3 z^3-28 \text{QuantumGroups$\grave{ }$a} z^3-13 z^3 $Failed^{-1} +6 z^3 $Failed^{-1} -z^3 $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^8 z^2-12 \text{QuantumGroups$\grave{ }$a}^6 z^2-19 \text{QuantumGroups$\grave{ }$a}^4 z^2-6 z^2 $Failed^{-1} -3 z^2+4 \text{QuantumGroups$\grave{ }$a}^9 z+\text{QuantumGroups$\grave{ }$a}^7 z-6 \text{QuantumGroups$\grave{ }$a}^5 z-\text{QuantumGroups$\grave{ }$a}^3 z+5 \text{QuantumGroups$\grave{ }$a} z+2 z $Failed^{-1} -z $Failed^{-1} +3 \text{QuantumGroups$\grave{ }$a}^6+4 \text{QuantumGroups$\grave{ }$a}^4+ $Failed^{-1} +1}

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