K14a3146

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a3146

Polynomial invariants

Jones polynomial	Data:K14a3146/Jones Polynomial
Alexander polynomial	$3t^{4}-21t^{3}+64t^{2}-108t+125-108t^{-1}+64t^{-2}-21t^{-3}+3t^{-4}$
Conway polynomial	Data:K14a3146/Conway Polynomial
Determinant	Data:K14a3146/Determinant
Signature	Data:K14a3146/Signature
HOMFLY-PT polynomial	$-z^{2}a^{12}-2a^{12}+4z^{4}a^{10}+10z^{2}a^{10}+5a^{10}-5z^{6}a^{8}-16z^{4}a^{8}-16z^{2}a^{8}-7a^{8}+2z^{8}a^{6}+7z^{6}a^{6}+11z^{4}a^{6}+12z^{2}a^{6}+5a^{6}+z^{8}a^{4}+2z^{6}a^{4}+z^{4}a^{4}+2z^{2}a^{4}-z^{6}a^{2}-2z^{4}a^{2}$
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 z^7 \text{QuantumGroups$\grave{ }$a}^{15}-3 z^5 \text{QuantumGroups$\grave{ }$a}^{15}+3 z^3 \text{QuantumGroups$\grave{ }$a}^{15}-z \text{QuantumGroups$\grave{ }$a}^{15}+4 z^8 \text{QuantumGroups$\grave{ }$a}^{14}-10 z^6 \text{QuantumGroups$\grave{ }$a}^{14}+8 z^4 \text{QuantumGroups$\grave{ }$a}^{14}-2 z^2 \text{QuantumGroups$\grave{ }$a}^{14}+9 z^9 \text{QuantumGroups$\grave{ }$a}^{13}-21 z^7 \text{QuantumGroups$\grave{ }$a}^{13}+18 z^5 \text{QuantumGroups$\grave{ }$a}^{13}-9 z^3 \text{QuantumGroups$\grave{ }$a}^{13}+3 z \text{QuantumGroups$\grave{ }$a}^{13}+13 z^{10} \text{QuantumGroups$\grave{ }$a}^{12}-26 z^8 \text{QuantumGroups$\grave{ }$a}^{12}+19 z^6 \text{QuantumGroups$\grave{ }$a}^{12}-11 z^4 \text{QuantumGroups$\grave{ }$a}^{12}+6 z^2 \text{QuantumGroups$\grave{ }$a}^{12}-2 \text{QuantumGroups$\grave{ }$a}^{12}+12 z^{11} \text{QuantumGroups$\grave{ }$a}^{11}-10 z^9 \text{QuantumGroups$\grave{ }$a}^{11}-19 z^7 \text{QuantumGroups$\grave{ }$a}^{11}+29 z^5 \text{QuantumGroups$\grave{ }$a}^{11}-15 z^3 \text{QuantumGroups$\grave{ }$a}^{11}+2 z \text{QuantumGroups$\grave{ }$a}^{11}+7 z^{12} \text{QuantumGroups$\grave{ }$a}^{10}+14 z^{10} \text{QuantumGroups$\grave{ }$a}^{10}-59 z^8 \text{QuantumGroups$\grave{ }$a}^{10}+69 z^6 \text{QuantumGroups$\grave{ }$a}^{10}-49 z^4 \text{QuantumGroups$\grave{ }$a}^{10}+23 z^2 \text{QuantumGroups$\grave{ }$a}^{10}-5 \text{QuantumGroups$\grave{ }$a}^{10}+2 z^{13} \text{QuantumGroups$\grave{ }$a}^9+26 z^{11} \text{QuantumGroups$\grave{ }$a}^9-62 z^9 \text{QuantumGroups$\grave{ }$a}^9+60 z^7 \text{QuantumGroups$\grave{ }$a}^9-42 z^5 \text{QuantumGroups$\grave{ }$a}^9+20 z^3 \text{QuantumGroups$\grave{ }$a}^9-3 z \text{QuantumGroups$\grave{ }$a}^9+16 z^{12} \text{QuantumGroups$\grave{ }$a}^8-8 z^{10} \text{QuantumGroups$\grave{ }$a}^8-45 z^8 \text{QuantumGroups$\grave{ }$a}^8+86 z^6 \text{QuantumGroups$\grave{ }$a}^8-81 z^4 \text{QuantumGroups$\grave{ }$a}^8+41 z^2 \text{QuantumGroups$\grave{ }$a}^8-7 \text{QuantumGroups$\grave{ }$a}^8+2 z^{13} \text{QuantumGroups$\grave{ }$a}^7+31 z^{11} \text{QuantumGroups$\grave{ }$a}^7-89 z^9 \text{QuantumGroups$\grave{ }$a}^7+109 z^7 \text{QuantumGroups$\grave{ }$a}^7-75 z^5 \text{QuantumGroups$\grave{ }$a}^7+25 z^3 \text{QuantumGroups$\grave{ }$a}^7-2 z \text{QuantumGroups$\grave{ }$a}^7+9 z^{12} \text{QuantumGroups$\grave{ }$a}^6+9 z^{10} \text{QuantumGroups$\grave{ }$a}^6-68 z^8 \text{QuantumGroups$\grave{ }$a}^6+101 z^6 \text{QuantumGroups$\grave{ }$a}^6-72 z^4 \text{QuantumGroups$\grave{ }$a}^6+27 z^2 \text{QuantumGroups$\grave{ }$a}^6-5 \text{QuantumGroups$\grave{ }$a}^6+17 z^{11} \text{QuantumGroups$\grave{ }$a}^5-34 z^9 \text{QuantumGroups$\grave{ }$a}^5+20 z^7 \text{QuantumGroups$\grave{ }$a}^5-2 z^3 \text{QuantumGroups$\grave{ }$a}^5-z \text{QuantumGroups$\grave{ }$a}^5+18 z^{10} \text{QuantumGroups$\grave{ }$a}^4-47 z^8 \text{QuantumGroups$\grave{ }$a}^4+43 z^6 \text{QuantumGroups$\grave{ }$a}^4-15 z^4 \text{QuantumGroups$\grave{ }$a}^4+z^2 \text{QuantumGroups$\grave{ }$a}^4+12 z^9 \text{QuantumGroups$\grave{ }$a}^3-31 z^7 \text{QuantumGroups$\grave{ }$a}^3+23 z^5 \text{QuantumGroups$\grave{ }$a}^3-4 z^3 \text{QuantumGroups$\grave{ }$a}^3+5 z^8 \text{QuantumGroups$\grave{ }$a}^2-12 z^6 \text{QuantumGroups$\grave{ }$a}^2+6 z^4 \text{QuantumGroups$\grave{ }$a}^2+z^7 \text{QuantumGroups$\grave{ }$a}-2 z^5 \text{QuantumGroups$\grave{ }$a}}

Modifying This Page

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