K14a5501

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a5501

Polynomial invariants

Jones polynomial	Data:K14a5501/Jones Polynomial
Alexander polynomial	$-2t^{4}+18t^{3}-70t^{2}+149t-189+149t^{-1}-70t^{-2}+18t^{-3}-2t^{-4}$
Conway polynomial	Data:K14a5501/Conway Polynomial
Determinant	Data:K14a5501/Determinant
Signature	Data:K14a5501/Signature
HOMFLY-PT polynomial	$-z^{4}a^{8}-z^{2}a^{8}-a^{8}+2z^{6}a^{6}+3z^{4}a^{6}+4z^{2}a^{6}+2a^{6}-z^{8}a^{4}-z^{6}a^{4}-2z^{4}a^{4}-z^{2}a^{4}-z^{8}a^{2}-z^{6}a^{2}-3z^{4}a^{2}-4z^{2}a^{2}-a^{2}+2z^{6}+2z^{4}+z^{2}-z^{4}a^{-2}+a^{-2}$
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 4 \text{QuantumGroups$\grave{ }$a}^5 z^{13}+4 \text{QuantumGroups$\grave{ }$a}^3 z^{13}+15 \text{QuantumGroups$\grave{ }$a}^6 z^{12}+29 \text{QuantumGroups$\grave{ }$a}^4 z^{12}+14 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+24 \text{QuantumGroups$\grave{ }$a}^7 z^{11}+46 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+44 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+22 \text{QuantumGroups$\grave{ }$a} z^{11}+22 \text{QuantumGroups$\grave{ }$a}^8 z^{10}+6 \text{QuantumGroups$\grave{ }$a}^6 z^{10}-23 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+15 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+22 z^{10}+13 \text{QuantumGroups$\grave{ }$a}^9 z^9-46 \text{QuantumGroups$\grave{ }$a}^7 z^9-130 \text{QuantumGroups$\grave{ }$a}^5 z^9-105 \text{QuantumGroups$\grave{ }$a}^3 z^9-19 \text{QuantumGroups$\grave{ }$a} z^9+15 z^9 $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^{10} z^8-51 \text{QuantumGroups$\grave{ }$a}^8 z^8-80 \text{QuantumGroups$\grave{ }$a}^6 z^8-60 \text{QuantumGroups$\grave{ }$a}^4 z^8-77 \text{QuantumGroups$\grave{ }$a}^2 z^8+6 z^8 $Failed^{-1} -35 z^8+\text{QuantumGroups$\grave{ }$a}^{11} z^7-28 \text{QuantumGroups$\grave{ }$a}^9 z^7+32 \text{QuantumGroups$\grave{ }$a}^7 z^7+130 \text{QuantumGroups$\grave{ }$a}^5 z^7+65 \text{QuantumGroups$\grave{ }$a}^3 z^7-35 \text{QuantumGroups$\grave{ }$a} z^7-30 z^7 $Failed^{-1} +z^7 $Failed^{-1} -10 \text{QuantumGroups$\grave{ }$a}^{10} z^6+50 \text{QuantumGroups$\grave{ }$a}^8 z^6+111 \text{QuantumGroups$\grave{ }$a}^6 z^6+89 \text{QuantumGroups$\grave{ }$a}^4 z^6+53 \text{QuantumGroups$\grave{ }$a}^2 z^6-11 z^6 $Failed^{-1} +4 z^6-2 \text{QuantumGroups$\grave{ }$a}^{11} z^5+20 \text{QuantumGroups$\grave{ }$a}^9 z^5-11 \text{QuantumGroups$\grave{ }$a}^7 z^5-59 \text{QuantumGroups$\grave{ }$a}^5 z^5+47 \text{QuantumGroups$\grave{ }$a} z^5+20 z^5 $Failed^{-1} -z^5 $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^{10} z^4-31 \text{QuantumGroups$\grave{ }$a}^8 z^4-65 \text{QuantumGroups$\grave{ }$a}^6 z^4-37 \text{QuantumGroups$\grave{ }$a}^4 z^4-\text{QuantumGroups$\grave{ }$a}^2 z^4+6 z^4 $Failed^{-1} +13 z^4+\text{QuantumGroups$\grave{ }$a}^{11} z^3-7 \text{QuantumGroups$\grave{ }$a}^9 z^3+\text{QuantumGroups$\grave{ }$a}^7 z^3+15 \text{QuantumGroups$\grave{ }$a}^5 z^3-12 \text{QuantumGroups$\grave{ }$a}^3 z^3-22 \text{QuantumGroups$\grave{ }$a} z^3-4 z^3 $Failed^{-1} +9 \text{QuantumGroups$\grave{ }$a}^8 z^2+18 \text{QuantumGroups$\grave{ }$a}^6 z^2+5 \text{QuantumGroups$\grave{ }$a}^4 z^2-9 \text{QuantumGroups$\grave{ }$a}^2 z^2+z^2 $Failed^{-1} -4 z^2+\text{QuantumGroups$\grave{ }$a}^9 z-\text{QuantumGroups$\grave{ }$a}^5 z+3 \text{QuantumGroups$\grave{ }$a}^3 z+3 \text{QuantumGroups$\grave{ }$a} z-\text{QuantumGroups$\grave{ }$a}^8-2 \text{QuantumGroups$\grave{ }$a}^6+\text{QuantumGroups$\grave{ }$a}^2- $Failed^{-1} }

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