K14a5032

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a5032

Polynomial invariants

Jones polynomial	Data:K14a5032/Jones Polynomial
Alexander polynomial	$8t^{3}-40t^{2}+91t-117+91t^{-1}-40t^{-2}+8t^{-3}$
Conway polynomial	Data:K14a5032/Conway Polynomial
Determinant	Data:K14a5032/Determinant
Signature	Data:K14a5032/Signature
HOMFLY-PT polynomial	$3z^{6}a^{-2}+3z^{6}a^{-4}+z^{6}a^{-6}+z^{6}-a^{2}z^{4}+6z^{4}a^{-2}+4z^{4}a^{-4}-z^{4}a^{-6}-z^{4}a^{-8}+z^{4}-2a^{2}z^{2}+6z^{2}a^{-2}-2z^{2}a^{-6}+z^{2}-a^{2}+3a^{-2}-2a^{-4}+1$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 z^{13} $Failed^{-1} +2 z^{13} $Failed^{-1} +5 z^{12} $Failed^{-1} +13 z^{12} $Failed^{-1} +8 z^{12} $Failed^{-1} +7 z^{11} $Failed^{-1} +10 z^{11} $Failed^{-1} +17 z^{11} $Failed^{-1} +14 z^{11} $Failed^{-1} -2 z^{10} $Failed^{-1} -32 z^{10} $Failed^{-1} -8 z^{10} $Failed^{-1} +15 z^{10} $Failed^{-1} +7 z^{10}+5 \text{QuantumGroups$\grave{ }$a} z^9-13 z^9 $Failed^{-1} -38 z^9 $Failed^{-1} -66 z^9 $Failed^{-1} -35 z^9 $Failed^{-1} +11 z^9 $Failed^{-1} +3 \text{QuantumGroups$\grave{ }$a}^2 z^8-20 z^8 $Failed^{-1} +31 z^8 $Failed^{-1} -13 z^8 $Failed^{-1} -39 z^8 $Failed^{-1} +5 z^8 $Failed^{-1} -17 z^8+\text{QuantumGroups$\grave{ }$a}^3 z^7-12 \text{QuantumGroups$\grave{ }$a} z^7+5 z^7 $Failed^{-1} +51 z^7 $Failed^{-1} +96 z^7 $Failed^{-1} +34 z^7 $Failed^{-1} -28 z^7 $Failed^{-1} +z^7 $Failed^{-1} -10 \text{QuantumGroups$\grave{ }$a}^2 z^6+47 z^6 $Failed^{-1} +z^6 $Failed^{-1} +20 z^6 $Failed^{-1} +29 z^6 $Failed^{-1} -12 z^6 $Failed^{-1} +15 z^6-4 \text{QuantumGroups$\grave{ }$a}^3 z^5+4 \text{QuantumGroups$\grave{ }$a} z^5+7 z^5 $Failed^{-1} -13 z^5 $Failed^{-1} -57 z^5 $Failed^{-1} -27 z^5 $Failed^{-1} +16 z^5 $Failed^{-1} -2 z^5 $Failed^{-1} +10 \text{QuantumGroups$\grave{ }$a}^2 z^4-42 z^4 $Failed^{-1} -11 z^4 $Failed^{-1} -7 z^4 $Failed^{-1} -11 z^4 $Failed^{-1} +6 z^4 $Failed^{-1} -11 z^4+5 \text{QuantumGroups$\grave{ }$a}^3 z^3+4 \text{QuantumGroups$\grave{ }$a} z^3-11 z^3 $Failed^{-1} -13 z^3 $Failed^{-1} +10 z^3 $Failed^{-1} +11 z^3 $Failed^{-1} -z^3 $Failed^{-1} +z^3 $Failed^{-1} -4 \text{QuantumGroups$\grave{ }$a}^2 z^2+16 z^2 $Failed^{-1} +7 z^2 $Failed^{-1} +2 z^2 $Failed^{-1} +3 z^2-2 \text{QuantumGroups$\grave{ }$a}^3 z-2 \text{QuantumGroups$\grave{ }$a} z+3 z $Failed^{-1} +6 z $Failed^{-1} +2 z $Failed^{-1} -z $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^2-3 $Failed^{-1} -2 $Failed^{-1} +1}

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