K14a13730

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a13730

Polynomial invariants

Jones polynomial	Data:K14a13730/Jones Polynomial
Alexander polynomial	$-t^{5}+9t^{4}-40t^{3}+108t^{2}-191t+231-191t^{-1}+108t^{-2}-40t^{-3}+9t^{-4}-t^{-5}$
Conway polynomial	Data:K14a13730/Conway Polynomial
Determinant	Data:K14a13730/Determinant
Signature	Data:K14a13730/Signature
HOMFLY-PT polynomial	$-z^{10}+3a^{2}z^{8}+z^{8}a^{-2}-5z^{8}-3a^{4}z^{6}+10a^{2}z^{6}+3z^{6}a^{-2}-13z^{6}+a^{6}z^{4}-6a^{4}z^{4}+15a^{2}z^{4}+5z^{4}a^{-2}-17z^{4}+a^{6}z^{2}-5a^{4}z^{2}+13a^{2}z^{2}+4z^{2}a^{-2}-13z^{2}-2a^{4}+6a^{2}+2a^{-2}-5$
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 9 \text{QuantumGroups$\grave{ }$a}^3 z^{13}+9 \text{QuantumGroups$\grave{ }$a} z^{13}+25 \text{QuantumGroups$\grave{ }$a}^4 z^{12}+63 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+38 z^{12}+28 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+71 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+110 \text{QuantumGroups$\grave{ }$a} z^{11}+67 z^{11} $Failed^{-1} +17 \text{QuantumGroups$\grave{ }$a}^6 z^{10}-14 \text{QuantumGroups$\grave{ }$a}^4 z^{10}-72 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+67 z^{10} $Failed^{-1} +26 z^{10}+6 \text{QuantumGroups$\grave{ }$a}^7 z^9-62 \text{QuantumGroups$\grave{ }$a}^5 z^9-236 \text{QuantumGroups$\grave{ }$a}^3 z^9-313 \text{QuantumGroups$\grave{ }$a} z^9-101 z^9 $Failed^{-1} +44 z^9 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^8 z^8-42 \text{QuantumGroups$\grave{ }$a}^6 z^8-91 \text{QuantumGroups$\grave{ }$a}^4 z^8-134 \text{QuantumGroups$\grave{ }$a}^2 z^8-115 z^8 $Failed^{-1} +20 z^8 $Failed^{-1} -221 z^8-14 \text{QuantumGroups$\grave{ }$a}^7 z^7+42 \text{QuantumGroups$\grave{ }$a}^5 z^7+220 \text{QuantumGroups$\grave{ }$a}^3 z^7+257 \text{QuantumGroups$\grave{ }$a} z^7+29 z^7 $Failed^{-1} -58 z^7 $Failed^{-1} +6 z^7 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^8 z^6+41 \text{QuantumGroups$\grave{ }$a}^6 z^6+137 \text{QuantumGroups$\grave{ }$a}^4 z^6+229 \text{QuantumGroups$\grave{ }$a}^2 z^6+83 z^6 $Failed^{-1} -15 z^6 $Failed^{-1} +z^6 $Failed^{-1} +234 z^6+12 \text{QuantumGroups$\grave{ }$a}^7 z^5-3 \text{QuantumGroups$\grave{ }$a}^5 z^5-81 \text{QuantumGroups$\grave{ }$a}^3 z^5-94 \text{QuantumGroups$\grave{ }$a} z^5+7 z^5 $Failed^{-1} +34 z^5 $Failed^{-1} -z^5 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^8 z^4-19 \text{QuantumGroups$\grave{ }$a}^6 z^4-77 \text{QuantumGroups$\grave{ }$a}^4 z^4-130 \text{QuantumGroups$\grave{ }$a}^2 z^4-35 z^4 $Failed^{-1} +6 z^4 $Failed^{-1} -114 z^4-4 \text{QuantumGroups$\grave{ }$a}^7 z^3-6 \text{QuantumGroups$\grave{ }$a}^5 z^3+12 \text{QuantumGroups$\grave{ }$a}^3 z^3+21 \text{QuantumGroups$\grave{ }$a} z^3-2 z^3 $Failed^{-1} -9 z^3 $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^6 z^2+21 \text{QuantumGroups$\grave{ }$a}^4 z^2+40 \text{QuantumGroups$\grave{ }$a}^2 z^2+10 z^2 $Failed^{-1} -z^2 $Failed^{-1} +34 z^2+\text{QuantumGroups$\grave{ }$a}^5 z-2 \text{QuantumGroups$\grave{ }$a} z+z $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^4-6 \text{QuantumGroups$\grave{ }$a}^2-2 $Failed^{-1} -5}

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