K14a13738

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a13738

Polynomial invariants

Jones polynomial	Data:K14a13738/Jones Polynomial
Alexander polynomial	$-t^{5}+9t^{4}-34t^{3}+76t^{2}-116t+133-116t^{-1}+76t^{-2}-34t^{-3}+9t^{-4}-t^{-5}$
Conway polynomial	Data:K14a13738/Conway Polynomial
Determinant	Data:K14a13738/Determinant
Signature	Data:K14a13738/Signature
HOMFLY-PT polynomial	$-z^{10}a^{-4}+2z^{8}a^{-2}-5z^{8}a^{-4}+2z^{8}a^{-6}+7z^{6}a^{-2}-10z^{6}a^{-4}+8z^{6}a^{-6}-z^{6}a^{-8}-z^{6}+5z^{4}a^{-2}-8z^{4}a^{-4}+10z^{4}a^{-6}-3z^{4}a^{-8}-2z^{4}-4z^{2}a^{-2}+3z^{2}a^{-4}+3z^{2}a^{-6}-2z^{2}a^{-8}+z^{2}-4a^{-2}+5a^{-4}-2a^{-6}+2$
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 6 z^{13} $Failed^{-1} +6 z^{13} $Failed^{-1} +15 z^{12} $Failed^{-1} +37 z^{12} $Failed^{-1} +22 z^{12} $Failed^{-1} +14 z^{11} $Failed^{-1} +21 z^{11} $Failed^{-1} +48 z^{11} $Failed^{-1} +41 z^{11} $Failed^{-1} -46 z^{10} $Failed^{-1} -101 z^{10} $Failed^{-1} +z^{10} $Failed^{-1} +50 z^{10} $Failed^{-1} +6 z^{10}+\text{QuantumGroups$\grave{ }$a} z^9-57 z^9 $Failed^{-1} -143 z^9 $Failed^{-1} -199 z^9 $Failed^{-1} -71 z^9 $Failed^{-1} +43 z^9 $Failed^{-1} +24 z^8 $Failed^{-1} +34 z^8 $Failed^{-1} -144 z^8 $Failed^{-1} -103 z^8 $Failed^{-1} +28 z^8 $Failed^{-1} -23 z^8-3 \text{QuantumGroups$\grave{ }$a} z^7+76 z^7 $Failed^{-1} +202 z^7 $Failed^{-1} +204 z^7 $Failed^{-1} -7 z^7 $Failed^{-1} -74 z^7 $Failed^{-1} +14 z^7 $Failed^{-1} +28 z^6 $Failed^{-1} +67 z^6 $Failed^{-1} +172 z^6 $Failed^{-1} +68 z^6 $Failed^{-1} -33 z^6 $Failed^{-1} +5 z^6 $Failed^{-1} +27 z^6+2 \text{QuantumGroups$\grave{ }$a} z^5-34 z^5 $Failed^{-1} -94 z^5 $Failed^{-1} -71 z^5 $Failed^{-1} +41 z^5 $Failed^{-1} +44 z^5 $Failed^{-1} -9 z^5 $Failed^{-1} +z^5 $Failed^{-1} -14 z^4 $Failed^{-1} -34 z^4 $Failed^{-1} -67 z^4 $Failed^{-1} -25 z^4 $Failed^{-1} +13 z^4 $Failed^{-1} -z^4 $Failed^{-1} -8 z^4+9 z^3 $Failed^{-1} +10 z^3 $Failed^{-1} -13 z^3 $Failed^{-1} -12 z^3 $Failed^{-1} +2 z^3 $Failed^{-1} -10 z^2 $Failed^{-1} -7 z^2 $Failed^{-1} +6 z^2 $Failed^{-1} +5 z^2 $Failed^{-1} -z^2 $Failed^{-1} -3 z^2+z $Failed^{-1} +z $Failed^{-1} -z $Failed^{-1} +z $Failed^{-1} +4 $Failed^{-1} +5 $Failed^{-1} +2 $Failed^{-1} +2}

Modifying This Page

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