K14a5494

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a5494

Polynomial invariants

Jones polynomial	Data:K14a5494/Jones Polynomial
Alexander polynomial	$-2t^{4}+18t^{3}-66t^{2}+135t-169+135t^{-1}-66t^{-2}+18t^{-3}-2t^{-4}$
Conway polynomial	Data:K14a5494/Conway Polynomial
Determinant	Data:K14a5494/Determinant
Signature	Data:K14a5494/Signature
HOMFLY-PT polynomial	$-z^{8}a^{-2}-z^{8}a^{-4}-z^{6}a^{-2}-z^{6}a^{-4}+2z^{6}a^{-6}+2z^{6}-a^{2}z^{4}-z^{4}a^{-2}-z^{4}a^{-4}+3z^{4}a^{-6}-z^{4}a^{-8}+3z^{4}-a^{2}z^{2}-z^{2}a^{-2}-z^{2}a^{-4}+3z^{2}a^{-6}-z^{2}a^{-8}+2z^{2}-a^{-4}+2a^{-6}-a^{-8}+1$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 3 z^{13} $Failed^{-1} +3 z^{13} $Failed^{-1} +10 z^{12} $Failed^{-1} +22 z^{12} $Failed^{-1} +12 z^{12} $Failed^{-1} +17 z^{11} $Failed^{-1} +34 z^{11} $Failed^{-1} +38 z^{11} $Failed^{-1} +21 z^{11} $Failed^{-1} +20 z^{10} $Failed^{-1} -8 z^{10} $Failed^{-1} +11 z^{10} $Failed^{-1} +21 z^{10} $Failed^{-1} +18 z^{10}+12 \text{QuantumGroups$\grave{ }$a} z^9-13 z^9 $Failed^{-1} -66 z^9 $Failed^{-1} -90 z^9 $Failed^{-1} -36 z^9 $Failed^{-1} +13 z^9 $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^2 z^8-80 z^8 $Failed^{-1} -58 z^8 $Failed^{-1} -71 z^8 $Failed^{-1} -49 z^8 $Failed^{-1} +5 z^8 $Failed^{-1} -34 z^8+\text{QuantumGroups$\grave{ }$a}^3 z^7-26 \text{QuantumGroups$\grave{ }$a} z^7-32 z^7 $Failed^{-1} +15 z^7 $Failed^{-1} +67 z^7 $Failed^{-1} +17 z^7 $Failed^{-1} -29 z^7 $Failed^{-1} +z^7 $Failed^{-1} -11 \text{QuantumGroups$\grave{ }$a}^2 z^6+70 z^6 $Failed^{-1} +65 z^6 $Failed^{-1} +82 z^6 $Failed^{-1} +47 z^6 $Failed^{-1} -10 z^6 $Failed^{-1} +19 z^6-2 \text{QuantumGroups$\grave{ }$a}^3 z^5+20 \text{QuantumGroups$\grave{ }$a} z^5+47 z^5 $Failed^{-1} +28 z^5 $Failed^{-1} -20 z^5 $Failed^{-1} +z^5 $Failed^{-1} +22 z^5 $Failed^{-1} -2 z^5 $Failed^{-1} +8 \text{QuantumGroups$\grave{ }$a}^2 z^4-20 z^4 $Failed^{-1} -26 z^4 $Failed^{-1} -47 z^4 $Failed^{-1} -27 z^4 $Failed^{-1} +5 z^4 $Failed^{-1} -z^4+\text{QuantumGroups$\grave{ }$a}^3 z^3-7 \text{QuantumGroups$\grave{ }$a} z^3-22 z^3 $Failed^{-1} -15 z^3 $Failed^{-1} +2 z^3 $Failed^{-1} -6 z^3 $Failed^{-1} -8 z^3 $Failed^{-1} +z^3 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^2 z^2+7 z^2 $Failed^{-1} +15 z^2 $Failed^{-1} +9 z^2 $Failed^{-1} -3 z^2+\text{QuantumGroups$\grave{ }$a} z+3 z $Failed^{-1} +2 z $Failed^{-1} +2 z $Failed^{-1} +2 z $Failed^{-1} - $Failed^{-1} -2 $Failed^{-1} - $Failed^{-1} +1}

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