K14n12245

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n12245

Polynomial invariants

Jones polynomial	Data:K14n12245/Jones Polynomial
Alexander polynomial	$-t^{4}+9t^{3}-28t^{2}+46t-51+46t^{-1}-28t^{-2}+9t^{-3}-t^{-4}$
Conway polynomial	Data:K14n12245/Conway Polynomial
Determinant	Data:K14n12245/Determinant
Signature	Data:K14n12245/Signature
HOMFLY-PT polynomial	$-a^{2}z^{8}+2a^{4}z^{6}-4a^{2}z^{6}+3z^{6}-a^{6}z^{4}+6a^{4}z^{4}-8a^{2}z^{4}-2z^{4}a^{-2}+11z^{4}-2a^{6}z^{2}+5a^{4}z^{2}-11a^{2}z^{2}-5z^{2}a^{-2}+12z^{2}+2a^{4}-5a^{2}-a^{-2}+5$
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 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+z^{12}+4 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+6 \text{QuantumGroups$\grave{ }$a} z^{11}+2 z^{11} $Failed^{-1} +8 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+10 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+z^{10} $Failed^{-1} +3 z^{10}+11 \text{QuantumGroups$\grave{ }$a}^5 z^9+7 \text{QuantumGroups$\grave{ }$a}^3 z^9-7 \text{QuantumGroups$\grave{ }$a} z^9-3 z^9 $Failed^{-1} +11 \text{QuantumGroups$\grave{ }$a}^6 z^8-\text{QuantumGroups$\grave{ }$a}^4 z^8-19 \text{QuantumGroups$\grave{ }$a}^2 z^8+2 z^8 $Failed^{-1} -5 z^8+8 \text{QuantumGroups$\grave{ }$a}^7 z^7-10 \text{QuantumGroups$\grave{ }$a}^5 z^7-26 \text{QuantumGroups$\grave{ }$a}^3 z^7-12 \text{QuantumGroups$\grave{ }$a} z^7-z^7 $Failed^{-1} +3 z^7 $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^8 z^6-13 \text{QuantumGroups$\grave{ }$a}^6 z^6-21 \text{QuantumGroups$\grave{ }$a}^4 z^6-12 \text{QuantumGroups$\grave{ }$a}^2 z^6-19 z^6 $Failed^{-1} -27 z^6+\text{QuantumGroups$\grave{ }$a}^9 z^5-10 \text{QuantumGroups$\grave{ }$a}^7 z^5-5 \text{QuantumGroups$\grave{ }$a}^5 z^5+15 \text{QuantumGroups$\grave{ }$a}^3 z^5+15 \text{QuantumGroups$\grave{ }$a} z^5-5 z^5 $Failed^{-1} -11 z^5 $Failed^{-1} -5 \text{QuantumGroups$\grave{ }$a}^8 z^4+4 \text{QuantumGroups$\grave{ }$a}^6 z^4+22 \text{QuantumGroups$\grave{ }$a}^4 z^4+38 \text{QuantumGroups$\grave{ }$a}^2 z^4+29 z^4 $Failed^{-1} +54 z^4-\text{QuantumGroups$\grave{ }$a}^9 z^3+5 \text{QuantumGroups$\grave{ }$a}^7 z^3+9 \text{QuantumGroups$\grave{ }$a}^5 z^3-\text{QuantumGroups$\grave{ }$a}^3 z^3-7 \text{QuantumGroups$\grave{ }$a} z^3+7 z^3 $Failed^{-1} +10 z^3 $Failed^{-1} +2 \text{QuantumGroups$\grave{ }$a}^8 z^2+\text{QuantumGroups$\grave{ }$a}^6 z^2-9 \text{QuantumGroups$\grave{ }$a}^4 z^2-26 \text{QuantumGroups$\grave{ }$a}^2 z^2-15 z^2 $Failed^{-1} -33 z^2-\text{QuantumGroups$\grave{ }$a}^7 z-3 \text{QuantumGroups$\grave{ }$a}^5 z+3 \text{QuantumGroups$\grave{ }$a} z-z $Failed^{-1} +2 \text{QuantumGroups$\grave{ }$a}^4+5 \text{QuantumGroups$\grave{ }$a}^2+ $Failed^{-1} +5}

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