K14a1726

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a1726

Polynomial invariants

Jones polynomial	Data:K14a1726/Jones Polynomial
Alexander polynomial	$t^{5}-7t^{4}+27t^{3}-65t^{2}+108t-127+108t^{-1}-65t^{-2}+27t^{-3}-7t^{-4}+t^{-5}$
Conway polynomial	Data:K14a1726/Conway Polynomial
Determinant	Data:K14a1726/Determinant
Signature	Data:K14a1726/Signature
HOMFLY-PT polynomial	$z^{10}a^{-2}+7z^{8}a^{-2}-3z^{8}a^{-4}-z^{8}+23z^{6}a^{-2}-15z^{6}a^{-4}+3z^{6}a^{-6}-5z^{6}+40z^{4}a^{-2}-31z^{4}a^{-4}+10z^{4}a^{-6}-z^{4}a^{-8}-11z^{4}+37z^{2}a^{-2}-31z^{2}a^{-4}+12z^{2}a^{-6}-2z^{2}a^{-8}-12z^{2}+15a^{-2}-13a^{-4}+5a^{-6}-a^{-8}-5$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 z^{13} $Failed^{-1} +2 z^{13} $Failed^{-1} +9 z^{12} $Failed^{-1} +17 z^{12} $Failed^{-1} +8 z^{12} $Failed^{-1} +16 z^{11} $Failed^{-1} +34 z^{11} $Failed^{-1} +33 z^{11} $Failed^{-1} +15 z^{11} $Failed^{-1} +10 z^{10} $Failed^{-1} +23 z^{10} $Failed^{-1} +17 z^{10} $Failed^{-1} +16 z^{10}+10 \text{QuantumGroups$\grave{ }$a} z^9-33 z^9 $Failed^{-1} -97 z^9 $Failed^{-1} -74 z^9 $Failed^{-1} -8 z^9 $Failed^{-1} +12 z^9 $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^2 z^8-81 z^8 $Failed^{-1} -83 z^8 $Failed^{-1} -88 z^8 $Failed^{-1} -31 z^8 $Failed^{-1} +5 z^8 $Failed^{-1} -46 z^8+\text{QuantumGroups$\grave{ }$a}^3 z^7-28 \text{QuantumGroups$\grave{ }$a} z^7+17 z^7 $Failed^{-1} +104 z^7 $Failed^{-1} +45 z^7 $Failed^{-1} -41 z^7 $Failed^{-1} -27 z^7 $Failed^{-1} +z^7 $Failed^{-1} -10 \text{QuantumGroups$\grave{ }$a}^2 z^6+143 z^6 $Failed^{-1} +139 z^6 $Failed^{-1} +88 z^6 $Failed^{-1} +12 z^6 $Failed^{-1} -11 z^6 $Failed^{-1} +59 z^6-3 \text{QuantumGroups$\grave{ }$a}^3 z^5+29 \text{QuantumGroups$\grave{ }$a} z^5+23 z^5 $Failed^{-1} -34 z^5 $Failed^{-1} +3 z^5 $Failed^{-1} +52 z^5 $Failed^{-1} +22 z^5 $Failed^{-1} -2 z^5 $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^2 z^4-119 z^4 $Failed^{-1} -110 z^4 $Failed^{-1} -48 z^4 $Failed^{-1} +2 z^4 $Failed^{-1} +8 z^4 $Failed^{-1} -46 z^4+2 \text{QuantumGroups$\grave{ }$a}^3 z^3-18 \text{QuantumGroups$\grave{ }$a} z^3-33 z^3 $Failed^{-1} -17 z^3 $Failed^{-1} -20 z^3 $Failed^{-1} -26 z^3 $Failed^{-1} -9 z^3 $Failed^{-1} +z^3 $Failed^{-1} +57 z^2 $Failed^{-1} +52 z^2 $Failed^{-1} +18 z^2 $Failed^{-1} -2 z^2 $Failed^{-1} +21 z^2+5 \text{QuantumGroups$\grave{ }$a} z+12 z $Failed^{-1} +14 z $Failed^{-1} +10 z $Failed^{-1} +5 z $Failed^{-1} +2 z $Failed^{-1} -15 $Failed^{-1} -13 $Failed^{-1} -5 $Failed^{-1} - $Failed^{-1} -5}

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