K14a6477

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a6477

Polynomial invariants

Jones polynomial	Data:K14a6477/Jones Polynomial
Alexander polynomial	$2t^{4}-14t^{3}+45t^{2}-87t+109-87t^{-1}+45t^{-2}-14t^{-3}+2t^{-4}$
Conway polynomial	Data:K14a6477/Conway Polynomial
Determinant	Data:K14a6477/Determinant
Signature	Data:K14a6477/Signature
HOMFLY-PT polynomial	$z^{8}a^{-2}+z^{8}-2a^{2}z^{6}+3z^{6}a^{-2}-2z^{6}a^{-4}+3z^{6}+a^{4}z^{4}-6a^{2}z^{4}+5z^{4}a^{-2}-5z^{4}a^{-4}+z^{4}a^{-6}+5z^{4}+2a^{4}z^{2}-7a^{2}z^{2}+3z^{2}a^{-2}-4z^{2}a^{-4}+z^{2}a^{-6}+4z^{2}+a^{4}-2a^{2}+2$
Kauffman polynomial	Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle z^{13} $Failed^{-1} +z^{13} $Failed^{-1} +9 z^{12} $Failed^{-1} +5 z^{12} $Failed^{-1} +4 z^{12}+8 \text{QuantumGroups$\grave{ }$a} z^{11}+18 z^{11} $Failed^{-1} +20 z^{11} $Failed^{-1} +10 z^{11} $Failed^{-1} +11 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+2 z^{10} $Failed^{-1} +7 z^{10} $Failed^{-1} +10 z^{10} $Failed^{-1} +16 z^{10}+11 \text{QuantumGroups$\grave{ }$a}^3 z^9+6 \text{QuantumGroups$\grave{ }$a} z^9-35 z^9 $Failed^{-1} -62 z^9 $Failed^{-1} -27 z^9 $Failed^{-1} +5 z^9 $Failed^{-1} +8 \text{QuantumGroups$\grave{ }$a}^4 z^8-7 \text{QuantumGroups$\grave{ }$a}^2 z^8-54 z^8 $Failed^{-1} -66 z^8 $Failed^{-1} -37 z^8 $Failed^{-1} +z^8 $Failed^{-1} -41 z^8+4 \text{QuantumGroups$\grave{ }$a}^5 z^7-15 \text{QuantumGroups$\grave{ }$a}^3 z^7-34 \text{QuantumGroups$\grave{ }$a} z^7+13 z^7 $Failed^{-1} +56 z^7 $Failed^{-1} +10 z^7 $Failed^{-1} -18 z^7 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^6 z^6-14 \text{QuantumGroups$\grave{ }$a}^4 z^6-16 \text{QuantumGroups$\grave{ }$a}^2 z^6+69 z^6 $Failed^{-1} +94 z^6 $Failed^{-1} +42 z^6 $Failed^{-1} -3 z^6 $Failed^{-1} +19 z^6-8 \text{QuantumGroups$\grave{ }$a}^5 z^5+4 \text{QuantumGroups$\grave{ }$a}^3 z^5+29 \text{QuantumGroups$\grave{ }$a} z^5-2 z^5 $Failed^{-1} -22 z^5 $Failed^{-1} +15 z^5 $Failed^{-1} +18 z^5 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^6 z^4+9 \text{QuantumGroups$\grave{ }$a}^4 z^4+27 \text{QuantumGroups$\grave{ }$a}^2 z^4-37 z^4 $Failed^{-1} -52 z^4 $Failed^{-1} -16 z^4 $Failed^{-1} +2 z^4 $Failed^{-1} +13 z^4+5 \text{QuantumGroups$\grave{ }$a}^5 z^3+3 \text{QuantumGroups$\grave{ }$a}^3 z^3-2 \text{QuantumGroups$\grave{ }$a} z^3+8 z^3 $Failed^{-1} +4 z^3 $Failed^{-1} -8 z^3 $Failed^{-1} -4 z^3 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^6 z^2-4 \text{QuantumGroups$\grave{ }$a}^4 z^2-15 \text{QuantumGroups$\grave{ }$a}^2 z^2+7 z^2 $Failed^{-1} +9 z^2 $Failed^{-1} +2 z^2 $Failed^{-1} -10 z^2-\text{QuantumGroups$\grave{ }$a}^5 z-2 \text{QuantumGroups$\grave{ }$a}^3 z-3 \text{QuantumGroups$\grave{ }$a} z-3 z $Failed^{-1} -z $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^4+2 \text{QuantumGroups$\grave{ }$a}^2+2}

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