K14a18169

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a18169

Polynomial invariants

Jones polynomial	Data:K14a18169/Jones Polynomial
Alexander polynomial	$-t^{5}+9t^{4}-29t^{3}+51t^{2}-62t+65-62t^{-1}+51t^{-2}-29t^{-3}+9t^{-4}-t^{-5}$
Conway polynomial	Data:K14a18169/Conway Polynomial
Determinant	Data:K14a18169/Determinant
Signature	Data:K14a18169/Signature
HOMFLY-PT polynomial	$-z^{10}a^{-4}+2z^{8}a^{-2}-5z^{8}a^{-4}+2z^{8}a^{-6}+8z^{6}a^{-2}-7z^{6}a^{-4}+9z^{6}a^{-6}-z^{6}a^{-8}-z^{6}+5z^{4}a^{-2}-z^{4}a^{-4}+10z^{4}a^{-6}-4z^{4}a^{-8}-3z^{4}-5z^{2}a^{-2}+6z^{2}a^{-4}+2z^{2}a^{-6}-3z^{2}a^{-8}-3a^{-2}+3a^{-4}-a^{-6}+2$
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 4 z^{13} $Failed^{-1} +4 z^{13} $Failed^{-1} +10 z^{12} $Failed^{-1} +22 z^{12} $Failed^{-1} +12 z^{12} $Failed^{-1} +10 z^{11} $Failed^{-1} +5 z^{11} $Failed^{-1} +12 z^{11} $Failed^{-1} +17 z^{11} $Failed^{-1} -40 z^{10} $Failed^{-1} -94 z^{10} $Failed^{-1} -31 z^{10} $Failed^{-1} +18 z^{10} $Failed^{-1} +5 z^{10}+\text{QuantumGroups$\grave{ }$a} z^9-47 z^9 $Failed^{-1} -85 z^9 $Failed^{-1} -101 z^9 $Failed^{-1} -47 z^9 $Failed^{-1} +17 z^9 $Failed^{-1} +37 z^8 $Failed^{-1} +131 z^8 $Failed^{-1} +19 z^8 $Failed^{-1} -38 z^8 $Failed^{-1} +14 z^8 $Failed^{-1} -23 z^8-4 \text{QuantumGroups$\grave{ }$a} z^7+66 z^7 $Failed^{-1} +158 z^7 $Failed^{-1} +182 z^7 $Failed^{-1} +57 z^7 $Failed^{-1} -28 z^7 $Failed^{-1} +9 z^7 $Failed^{-1} -2 z^6 $Failed^{-1} -90 z^6 $Failed^{-1} +33 z^6 $Failed^{-1} -20 z^6 $Failed^{-1} +4 z^6 $Failed^{-1} +31 z^6+4 \text{QuantumGroups$\grave{ }$a} z^5-33 z^5 $Failed^{-1} -111 z^5 $Failed^{-1} -152 z^5 $Failed^{-1} -49 z^5 $Failed^{-1} +17 z^5 $Failed^{-1} -11 z^5 $Failed^{-1} +z^5 $Failed^{-1} +8 z^4 $Failed^{-1} +49 z^4 $Failed^{-1} -8 z^4 $Failed^{-1} -20 z^4 $Failed^{-1} +11 z^4 $Failed^{-1} -4 z^4 $Failed^{-1} -14 z^4-\text{QuantumGroups$\grave{ }$a} z^3+6 z^3 $Failed^{-1} +41 z^3 $Failed^{-1} +61 z^3 $Failed^{-1} +16 z^3 $Failed^{-1} -5 z^3 $Failed^{-1} +5 z^3 $Failed^{-1} -z^3 $Failed^{-1} -14 z^2 $Failed^{-1} -18 z^2 $Failed^{-1} +3 z^2 $Failed^{-1} -z^2 $Failed^{-1} +z^2 $Failed^{-1} -z^2-2 z $Failed^{-1} -7 z $Failed^{-1} -7 z $Failed^{-1} -z $Failed^{-1} +z $Failed^{-1} +3 $Failed^{-1} +3 $Failed^{-1} + $Failed^{-1} +2}

Modifying This Page

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