K14a5440

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a5440

Polynomial invariants

Jones polynomial	Data:K14a5440/Jones Polynomial
Alexander polynomial	$-4t^{4}+24t^{3}-67t^{2}+118t-141+118t^{-1}-67t^{-2}+24t^{-3}-4t^{-4}$
Conway polynomial	Data:K14a5440/Conway Polynomial
Determinant	Data:K14a5440/Determinant
Signature	Data:K14a5440/Signature
HOMFLY-PT polynomial	$-z^{8}a^{-2}-2z^{8}a^{-4}-z^{8}a^{-6}-2z^{6}a^{-2}-6z^{6}a^{-4}-2z^{6}a^{-6}+z^{6}a^{-8}+z^{6}-z^{4}a^{-2}-6z^{4}a^{-4}+2z^{4}a^{-8}+2z^{4}+z^{2}a^{-2}-3z^{2}a^{-4}+3z^{2}a^{-6}+z^{2}+2a^{-2}-2a^{-4}+2a^{-6}-a^{-8}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 3 z^{13} $Failed^{-1} +3 z^{13} $Failed^{-1} +11 z^{12} $Failed^{-1} +21 z^{12} $Failed^{-1} +10 z^{12} $Failed^{-1} +21 z^{11} $Failed^{-1} +34 z^{11} $Failed^{-1} +27 z^{11} $Failed^{-1} +14 z^{11} $Failed^{-1} +26 z^{10} $Failed^{-1} +23 z^{10} $Failed^{-1} -21 z^{10} $Failed^{-1} -7 z^{10} $Failed^{-1} +11 z^{10} $Failed^{-1} +22 z^9 $Failed^{-1} -9 z^9 $Failed^{-1} -74 z^9 $Failed^{-1} -87 z^9 $Failed^{-1} -39 z^9 $Failed^{-1} +5 z^9 $Failed^{-1} -35 z^8 $Failed^{-1} -85 z^8 $Failed^{-1} -38 z^8 $Failed^{-1} -39 z^8 $Failed^{-1} -37 z^8 $Failed^{-1} +z^8 $Failed^{-1} +13 z^8+5 \text{QuantumGroups$\grave{ }$a} z^7-34 z^7 $Failed^{-1} -42 z^7 $Failed^{-1} +28 z^7 $Failed^{-1} +79 z^7 $Failed^{-1} +31 z^7 $Failed^{-1} -17 z^7 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^2 z^6+10 z^6 $Failed^{-1} +67 z^6 $Failed^{-1} +53 z^6 $Failed^{-1} +60 z^6 $Failed^{-1} +41 z^6 $Failed^{-1} -3 z^6 $Failed^{-1} -19 z^6-6 \text{QuantumGroups$\grave{ }$a} z^5+22 z^5 $Failed^{-1} +47 z^5 $Failed^{-1} +13 z^5 $Failed^{-1} -25 z^5 $Failed^{-1} -2 z^5 $Failed^{-1} +17 z^5 $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^2 z^4+6 z^4 $Failed^{-1} -22 z^4 $Failed^{-1} -28 z^4 $Failed^{-1} -31 z^4 $Failed^{-1} -16 z^4 $Failed^{-1} +2 z^4 $Failed^{-1} +12 z^4+2 \text{QuantumGroups$\grave{ }$a} z^3-6 z^3 $Failed^{-1} -17 z^3 $Failed^{-1} -11 z^3 $Failed^{-1} -4 z^3 $Failed^{-1} -6 z^3 $Failed^{-1} -4 z^3 $Failed^{-1} -z^2 $Failed^{-1} +7 z^2 $Failed^{-1} +10 z^2 $Failed^{-1} +6 z^2 $Failed^{-1} +z^2 $Failed^{-1} -3 z^2+z $Failed^{-1} +3 z $Failed^{-1} +3 z $Failed^{-1} +3 z $Failed^{-1} +2 z $Failed^{-1} -2 $Failed^{-1} -2 $Failed^{-1} -2 $Failed^{-1} - $Failed^{-1} }

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