K14n11599

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n11599

Polynomial invariants

Jones polynomial	Data:K14n11599/Jones Polynomial
Alexander polynomial	$2t^{4}-13t^{3}+41t^{2}-83t+107-83t^{-1}+41t^{-2}-13t^{-3}+2t^{-4}$
Conway polynomial	Data:K14n11599/Conway Polynomial
Determinant	Data:K14n11599/Determinant
Signature	Data:K14n11599/Signature
HOMFLY-PT polynomial	$z^{8}a^{-2}+z^{8}-2a^{2}z^{6}+4z^{6}a^{-2}-z^{6}a^{-4}+2z^{6}+a^{4}z^{4}-4a^{2}z^{4}+9z^{4}a^{-2}-4z^{4}a^{-4}+z^{4}+a^{4}z^{2}-4a^{2}z^{2}+8z^{2}a^{-2}-8z^{2}a^{-4}+z^{2}a^{-6}-2z^{2}+a^{4}-a^{2}+3a^{-2}-4a^{-4}+2a^{-6}$
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 3 z^{12} $Failed^{-1} +3 z^{12}+12 \text{QuantumGroups$\grave{ }$a} z^{11}+21 z^{11} $Failed^{-1} +9 z^{11} $Failed^{-1} +21 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+24 z^{10} $Failed^{-1} +9 z^{10} $Failed^{-1} +36 z^{10}+21 \text{QuantumGroups$\grave{ }$a}^3 z^9+12 \text{QuantumGroups$\grave{ }$a} z^9-23 z^9 $Failed^{-1} -11 z^9 $Failed^{-1} +3 z^9 $Failed^{-1} +13 \text{QuantumGroups$\grave{ }$a}^4 z^8-29 \text{QuantumGroups$\grave{ }$a}^2 z^8-74 z^8 $Failed^{-1} -20 z^8 $Failed^{-1} -96 z^8+5 \text{QuantumGroups$\grave{ }$a}^5 z^7-39 \text{QuantumGroups$\grave{ }$a}^3 z^7-77 \text{QuantumGroups$\grave{ }$a} z^7-29 z^7 $Failed^{-1} +7 z^7 $Failed^{-1} +3 z^7 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^6 z^6-21 \text{QuantumGroups$\grave{ }$a}^4 z^6+84 z^6 $Failed^{-1} +33 z^6 $Failed^{-1} +6 z^6 $Failed^{-1} +79 z^6-6 \text{QuantumGroups$\grave{ }$a}^5 z^5+29 \text{QuantumGroups$\grave{ }$a}^3 z^5+85 \text{QuantumGroups$\grave{ }$a} z^5+51 z^5 $Failed^{-1} -16 z^5 $Failed^{-1} -17 z^5 $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^6 z^4+12 \text{QuantumGroups$\grave{ }$a}^4 z^4+18 \text{QuantumGroups$\grave{ }$a}^2 z^4-55 z^4 $Failed^{-1} -46 z^4 $Failed^{-1} -15 z^4 $Failed^{-1} -19 z^4+\text{QuantumGroups$\grave{ }$a}^5 z^3-13 \text{QuantumGroups$\grave{ }$a}^3 z^3-33 \text{QuantumGroups$\grave{ }$a} z^3-20 z^3 $Failed^{-1} +12 z^3 $Failed^{-1} +13 z^3 $Failed^{-1} -5 \text{QuantumGroups$\grave{ }$a}^4 z^2-10 \text{QuantumGroups$\grave{ }$a}^2 z^2+20 z^2 $Failed^{-1} +25 z^2 $Failed^{-1} +11 z^2 $Failed^{-1} +z^2+2 \text{QuantumGroups$\grave{ }$a}^3 z+4 \text{QuantumGroups$\grave{ }$a} z+2 z $Failed^{-1} -4 z $Failed^{-1} -4 z $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^4+\text{QuantumGroups$\grave{ }$a}^2-3 $Failed^{-1} -4 $Failed^{-1} -2 $Failed^{-1} }

Modifying This Page

Read me first: Modifying Knot Pages See/edit the Large Knot Page master template. Back to the top.