K14a6531

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a6531

Polynomial invariants

Jones polynomial	Data:K14a6531/Jones Polynomial
Alexander polynomial	$-4t^{4}+24t^{3}-69t^{2}+123t-147+123t^{-1}-69t^{-2}+24t^{-3}-4t^{-4}$
Conway polynomial	Data:K14a6531/Conway Polynomial
Determinant	Data:K14a6531/Determinant
Signature	Data:K14a6531/Signature
HOMFLY-PT polynomial	$-2z^{8}a^{-2}-z^{8}a^{-4}-z^{8}+a^{2}z^{6}-6z^{6}a^{-2}-2z^{6}a^{-4}+z^{6}a^{-6}-2z^{6}+2a^{2}z^{4}-7z^{4}a^{-2}-z^{4}a^{-4}+2z^{4}a^{-6}-z^{4}+a^{2}z^{2}-5z^{2}a^{-2}+z^{2}a^{-4}+z^{2}a^{-6}+z^{2}-2a^{-2}+a^{-4}+2$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 3 z^{13} $Failed^{-1} +3 z^{13} $Failed^{-1} +22 z^{12} $Failed^{-1} +13 z^{12} $Failed^{-1} +9 z^{12}+13 \text{QuantumGroups$\grave{ }$a} z^{11}+29 z^{11} $Failed^{-1} +41 z^{11} $Failed^{-1} +25 z^{11} $Failed^{-1} +11 \text{QuantumGroups$\grave{ }$a}^2 z^{10}-15 z^{10} $Failed^{-1} +18 z^{10} $Failed^{-1} +29 z^{10} $Failed^{-1} +7 z^{10}+5 \text{QuantumGroups$\grave{ }$a}^3 z^9-24 \text{QuantumGroups$\grave{ }$a} z^9-77 z^9 $Failed^{-1} -101 z^9 $Failed^{-1} -30 z^9 $Failed^{-1} +23 z^9 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^4 z^8-33 \text{QuantumGroups$\grave{ }$a}^2 z^8-64 z^8 $Failed^{-1} -91 z^8 $Failed^{-1} -52 z^8 $Failed^{-1} +13 z^8 $Failed^{-1} -72 z^8-16 \text{QuantumGroups$\grave{ }$a}^3 z^7-10 \text{QuantumGroups$\grave{ }$a} z^7+29 z^7 $Failed^{-1} +59 z^7 $Failed^{-1} -9 z^7 $Failed^{-1} -40 z^7 $Failed^{-1} +5 z^7 $Failed^{-1} -3 \text{QuantumGroups$\grave{ }$a}^4 z^6+33 \text{QuantumGroups$\grave{ }$a}^2 z^6+73 z^6 $Failed^{-1} +88 z^6 $Failed^{-1} +37 z^6 $Failed^{-1} -19 z^6 $Failed^{-1} +z^6 $Failed^{-1} +78 z^6+18 \text{QuantumGroups$\grave{ }$a}^3 z^5+38 \text{QuantumGroups$\grave{ }$a} z^5+30 z^5 $Failed^{-1} +8 z^5 $Failed^{-1} +33 z^5 $Failed^{-1} +29 z^5 $Failed^{-1} -6 z^5 $Failed^{-1} +3 \text{QuantumGroups$\grave{ }$a}^4 z^4-12 \text{QuantumGroups$\grave{ }$a}^2 z^4-19 z^4 $Failed^{-1} -26 z^4 $Failed^{-1} -7 z^4 $Failed^{-1} +9 z^4 $Failed^{-1} -z^4 $Failed^{-1} -25 z^4-8 \text{QuantumGroups$\grave{ }$a}^3 z^3-20 \text{QuantumGroups$\grave{ }$a} z^3-24 z^3 $Failed^{-1} -17 z^3 $Failed^{-1} -15 z^3 $Failed^{-1} -9 z^3 $Failed^{-1} +z^3 $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^4 z^2+\text{QuantumGroups$\grave{ }$a}^2 z^2-6 z^2 $Failed^{-1} -z^2 $Failed^{-1} -2 z^2 $Failed^{-1} -z^2+\text{QuantumGroups$\grave{ }$a}^3 z+3 \text{QuantumGroups$\grave{ }$a} z+4 z $Failed^{-1} +3 z $Failed^{-1} +2 z $Failed^{-1} +z $Failed^{-1} +2 $Failed^{-1} + $Failed^{-1} +2}

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