K14n13088

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n13088

Polynomial invariants

Jones polynomial	Data:K14n13088/Jones Polynomial
Alexander polynomial	$-5t^{2}+18t-25+18t^{-1}-5t^{-2}$
Conway polynomial	Data:K14n13088/Conway Polynomial
Determinant	Data:K14n13088/Determinant
Signature	Data:K14n13088/Signature
HOMFLY-PT polynomial	$-2z^{4}a^{-2}-2z^{4}a^{-4}-z^{4}+a^{2}z^{2}-2z^{2}a^{-2}-3z^{2}a^{-4}+3z^{2}a^{-6}-z^{2}+a^{2}-2a^{-4}+3a^{-6}-a^{-8}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle z^{12} $Failed^{-1} +z^{12} $Failed^{-1} +3 z^{11} $Failed^{-1} +4 z^{11} $Failed^{-1} +z^{11} $Failed^{-1} +4 z^{10} $Failed^{-1} -2 z^{10} $Failed^{-1} -6 z^{10} $Failed^{-1} +4 z^9 $Failed^{-1} -16 z^9 $Failed^{-1} -28 z^9 $Failed^{-1} -8 z^9 $Failed^{-1} -20 z^8 $Failed^{-1} -14 z^8 $Failed^{-1} +9 z^8 $Failed^{-1} +3 z^8+2 \text{QuantumGroups$\grave{ }$a} z^7-18 z^7 $Failed^{-1} +26 z^7 $Failed^{-1} +71 z^7 $Failed^{-1} +25 z^7 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^2 z^6+30 z^6 $Failed^{-1} +52 z^6 $Failed^{-1} +12 z^6 $Failed^{-1} +2 z^6 $Failed^{-1} -11 z^6-7 \text{QuantumGroups$\grave{ }$a} z^5+23 z^5 $Failed^{-1} -9 z^5 $Failed^{-1} -72 z^5 $Failed^{-1} -33 z^5 $Failed^{-1} -4 \text{QuantumGroups$\grave{ }$a}^2 z^4-11 z^4 $Failed^{-1} -51 z^4 $Failed^{-1} -36 z^4 $Failed^{-1} -7 z^4 $Failed^{-1} +7 z^4+3 \text{QuantumGroups$\grave{ }$a} z^3-10 z^3 $Failed^{-1} +28 z^3 $Failed^{-1} +15 z^3 $Failed^{-1} +3 \text{QuantumGroups$\grave{ }$a}^2 z^2+18 z^2 $Failed^{-1} +21 z^2 $Failed^{-1} +6 z^2 $Failed^{-1} +2 z $Failed^{-1} -4 z $Failed^{-1} -2 z $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^2-2 $Failed^{-1} -3 $Failed^{-1} - $Failed^{-1} }

Modifying This Page

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