K14a7790

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a7790

Polynomial invariants

Jones polynomial	Data:K14a7790/Jones Polynomial
Alexander polynomial	$-2t^{4}+14t^{3}-45t^{2}+85t-103+85t^{-1}-45t^{-2}+14t^{-3}-2t^{-4}$
Conway polynomial	Data:K14a7790/Conway Polynomial
Determinant	Data:K14a7790/Determinant
Signature	Data:K14a7790/Signature
HOMFLY-PT polynomial	$-z^{8}a^{-2}-z^{8}a^{-4}-2z^{6}a^{-2}-4z^{6}a^{-4}+z^{6}a^{-6}+3z^{6}-3a^{2}z^{4}-z^{4}a^{-2}-8z^{4}a^{-4}+3z^{4}a^{-6}+8z^{4}+a^{4}z^{2}-6a^{2}z^{2}-7z^{2}a^{-4}+3z^{2}a^{-6}+8z^{2}+a^{4}-3a^{2}-2a^{-4}+a^{-6}+4$
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 2 z^{13} $Failed^{-1} +2 z^{13} $Failed^{-1} +14 z^{12} $Failed^{-1} +9 z^{12} $Failed^{-1} +5 z^{12}+6 \text{QuantumGroups$\grave{ }$a} z^{11}+11 z^{11} $Failed^{-1} +22 z^{11} $Failed^{-1} +17 z^{11} $Failed^{-1} +6 \text{QuantumGroups$\grave{ }$a}^2 z^{10}-37 z^{10} $Failed^{-1} -8 z^{10} $Failed^{-1} +19 z^{10} $Failed^{-1} -4 z^{10}+4 \text{QuantumGroups$\grave{ }$a}^3 z^9-7 \text{QuantumGroups$\grave{ }$a} z^9-46 z^9 $Failed^{-1} -100 z^9 $Failed^{-1} -50 z^9 $Failed^{-1} +15 z^9 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^4 z^8-16 \text{QuantumGroups$\grave{ }$a}^2 z^8+36 z^8 $Failed^{-1} -40 z^8 $Failed^{-1} -58 z^8 $Failed^{-1} +9 z^8 $Failed^{-1} -8 z^8-16 \text{QuantumGroups$\grave{ }$a}^3 z^7-24 \text{QuantumGroups$\grave{ }$a} z^7+67 z^7 $Failed^{-1} +178 z^7 $Failed^{-1} +59 z^7 $Failed^{-1} -40 z^7 $Failed^{-1} +4 z^7 $Failed^{-1} -4 \text{QuantumGroups$\grave{ }$a}^4 z^6+2 \text{QuantumGroups$\grave{ }$a}^2 z^6-10 z^6 $Failed^{-1} +106 z^6 $Failed^{-1} +72 z^6 $Failed^{-1} -20 z^6 $Failed^{-1} +z^6 $Failed^{-1} -17 z^6+22 \text{QuantumGroups$\grave{ }$a}^3 z^5+36 \text{QuantumGroups$\grave{ }$a} z^5-74 z^5 $Failed^{-1} -151 z^5 $Failed^{-1} -17 z^5 $Failed^{-1} +38 z^5 $Failed^{-1} -8 z^5 $Failed^{-1} +6 \text{QuantumGroups$\grave{ }$a}^4 z^4+21 \text{QuantumGroups$\grave{ }$a}^2 z^4-17 z^4 $Failed^{-1} -80 z^4 $Failed^{-1} -32 z^4 $Failed^{-1} +10 z^4 $Failed^{-1} -2 z^4 $Failed^{-1} +34 z^4-11 \text{QuantumGroups$\grave{ }$a}^3 z^3-10 \text{QuantumGroups$\grave{ }$a} z^3+40 z^3 $Failed^{-1} +57 z^3 $Failed^{-1} +4 z^3 $Failed^{-1} -13 z^3 $Failed^{-1} +z^3 $Failed^{-1} -4 \text{QuantumGroups$\grave{ }$a}^4 z^2-15 \text{QuantumGroups$\grave{ }$a}^2 z^2+6 z^2 $Failed^{-1} +22 z^2 $Failed^{-1} +8 z^2 $Failed^{-1} -2 z^2 $Failed^{-1} -17 z^2+\text{QuantumGroups$\grave{ }$a}^3 z-\text{QuantumGroups$\grave{ }$a} z-8 z $Failed^{-1} -9 z $Failed^{-1} -2 z $Failed^{-1} +z $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^4+3 \text{QuantumGroups$\grave{ }$a}^2-2 $Failed^{-1} - $Failed^{-1} +4}

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