K14a6450

Knot presentations

Dowker-Thistlethwaite code

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Notes on presentations of K14a6450

Polynomial invariants

Jones polynomial	Data:K14a6450/Jones Polynomial
Alexander polynomial	$t^{5}-9t^{4}+37t^{3}-91t^{2}+150t-175+150t^{-1}-91t^{-2}+37t^{-3}-9t^{-4}+t^{-5}$
Conway polynomial	Data:K14a6450/Conway Polynomial
Determinant	Data:K14a6450/Determinant
Signature	Data:K14a6450/Signature
HOMFLY-PT polynomial	$z^{10}a^{-2}+5z^{8}a^{-2}-2z^{8}a^{-4}-2z^{8}+a^{2}z^{6}+12z^{6}a^{-2}-7z^{6}a^{-4}+z^{6}a^{-6}-7z^{6}+2a^{2}z^{4}+15z^{4}a^{-2}-9z^{4}a^{-4}+2z^{4}a^{-6}-9z^{4}+a^{2}z^{2}+9z^{2}a^{-2}-5z^{2}a^{-4}+z^{2}a^{-6}-6z^{2}+a^{2}+3a^{-2}-a^{-4}-2$
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 5 z^{13} $Failed^{-1} +5 z^{13} $Failed^{-1} +38 z^{12} $Failed^{-1} +21 z^{12} $Failed^{-1} +17 z^{12}+23 \text{QuantumGroups$\grave{ }$a} z^{11}+54 z^{11} $Failed^{-1} +71 z^{11} $Failed^{-1} +40 z^{11} $Failed^{-1} +16 \text{QuantumGroups$\grave{ }$a}^2 z^{10}-31 z^{10} $Failed^{-1} +36 z^{10} $Failed^{-1} +46 z^{10} $Failed^{-1} -5 z^{10}+6 \text{QuantumGroups$\grave{ }$a}^3 z^9-58 \text{QuantumGroups$\grave{ }$a} z^9-179 z^9 $Failed^{-1} -190 z^9 $Failed^{-1} -40 z^9 $Failed^{-1} +35 z^9 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^4 z^8-45 \text{QuantumGroups$\grave{ }$a}^2 z^8-125 z^8 $Failed^{-1} -174 z^8 $Failed^{-1} -74 z^8 $Failed^{-1} +18 z^8 $Failed^{-1} -89 z^8-15 \text{QuantumGroups$\grave{ }$a}^3 z^7+42 \text{QuantumGroups$\grave{ }$a} z^7+174 z^7 $Failed^{-1} +143 z^7 $Failed^{-1} -31 z^7 $Failed^{-1} -51 z^7 $Failed^{-1} +6 z^7 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^4 z^6+42 \text{QuantumGroups$\grave{ }$a}^2 z^6+199 z^6 $Failed^{-1} +175 z^6 $Failed^{-1} +42 z^6 $Failed^{-1} -18 z^6 $Failed^{-1} +z^6 $Failed^{-1} +129 z^6+11 \text{QuantumGroups$\grave{ }$a}^3 z^5-8 \text{QuantumGroups$\grave{ }$a} z^5-67 z^5 $Failed^{-1} -36 z^5 $Failed^{-1} +42 z^5 $Failed^{-1} +27 z^5 $Failed^{-1} -3 z^5 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^4 z^4-16 \text{QuantumGroups$\grave{ }$a}^2 z^4-111 z^4 $Failed^{-1} -78 z^4 $Failed^{-1} -13 z^4 $Failed^{-1} +5 z^4 $Failed^{-1} -68 z^4-2 \text{QuantumGroups$\grave{ }$a}^3 z^3+2 \text{QuantumGroups$\grave{ }$a} z^3+11 z^3 $Failed^{-1} -12 z^3 $Failed^{-1} -5 z^3 $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^2 z^2+28 z^2 $Failed^{-1} +17 z^2 $Failed^{-1} +3 z^2 $Failed^{-1} +18 z^2-\text{QuantumGroups$\grave{ }$a} z-z $Failed^{-1} +z $Failed^{-1} +z $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^2-3 $Failed^{-1} - $Failed^{-1} -2}

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