K14n12294

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n12294

Polynomial invariants

Jones polynomial	Data:K14n12294/Jones Polynomial
Alexander polynomial	$t^{4}-8t^{3}+31t^{2}-66t+85-66t^{-1}+31t^{-2}-8t^{-3}+t^{-4}$
Conway polynomial	Data:K14n12294/Conway Polynomial
Determinant	Data:K14n12294/Determinant
Signature	Data:K14n12294/Signature
HOMFLY-PT polynomial	$z^{8}a^{-2}+3z^{6}a^{-2}-z^{6}a^{-4}-2z^{6}+2a^{2}z^{4}+3z^{4}a^{-2}-z^{4}a^{-4}-z^{4}-a^{4}z^{2}-2z^{2}a^{-2}+5z^{2}-2a^{2}-2a^{-2}+5$
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 3 z^{12} $Failed^{-1} +3 z^{12}+5 \text{QuantumGroups$\grave{ }$a} z^{11}+17 z^{11} $Failed^{-1} +12 z^{11} $Failed^{-1} +2 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+21 z^{10} $Failed^{-1} +19 z^{10} $Failed^{-1} +4 z^{10}-12 \text{QuantumGroups$\grave{ }$a} z^9-42 z^9 $Failed^{-1} -15 z^9 $Failed^{-1} +15 z^9 $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^2 z^8-77 z^8 $Failed^{-1} -49 z^8 $Failed^{-1} +6 z^8 $Failed^{-1} -18 z^8+10 \text{QuantumGroups$\grave{ }$a}^3 z^7+34 \text{QuantumGroups$\grave{ }$a} z^7+38 z^7 $Failed^{-1} -24 z^7 $Failed^{-1} -37 z^7 $Failed^{-1} +z^7 $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^4 z^6-2 \text{QuantumGroups$\grave{ }$a}^2 z^6+68 z^6 $Failed^{-1} +28 z^6 $Failed^{-1} -11 z^6 $Failed^{-1} +23 z^6+\text{QuantumGroups$\grave{ }$a}^5 z^5-16 \text{QuantumGroups$\grave{ }$a}^3 z^5-40 \text{QuantumGroups$\grave{ }$a} z^5-19 z^5 $Failed^{-1} +23 z^5 $Failed^{-1} +18 z^5 $Failed^{-1} -z^5 $Failed^{-1} -5 \text{QuantumGroups$\grave{ }$a}^4 z^4-9 z^4 $Failed^{-1} -3 z^4 $Failed^{-1} +2 z^4 $Failed^{-1} +z^4-\text{QuantumGroups$\grave{ }$a}^5 z^3+11 \text{QuantumGroups$\grave{ }$a}^3 z^3+24 \text{QuantumGroups$\grave{ }$a} z^3+16 z^3 $Failed^{-1} +4 z^3 $Failed^{-1} +2 \text{QuantumGroups$\grave{ }$a}^4 z^2-3 \text{QuantumGroups$\grave{ }$a}^2 z^2-9 z^2 $Failed^{-1} -z^2 $Failed^{-1} -13 z^2-3 \text{QuantumGroups$\grave{ }$a}^3 z-7 \text{QuantumGroups$\grave{ }$a} z-7 z $Failed^{-1} -3 z $Failed^{-1} +2 \text{QuantumGroups$\grave{ }$a}^2+2 $Failed^{-1} +5}

Modifying This Page

Read me first: Modifying Knot Pages See/edit the Large Knot Page master template. Back to the top.