K14a17486

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a17486

Polynomial invariants

Jones polynomial	Data:K14a17486/Jones Polynomial
Alexander polynomial	$12t^{2}-47t+71-47t^{-1}+12t^{-2}$
Conway polynomial	Data:K14a17486/Conway Polynomial
Determinant	Data:K14a17486/Determinant
Signature	Data:K14a17486/Signature
HOMFLY-PT polynomial	$-z^{2}a^{6}+z^{4}a^{4}-z^{2}a^{4}-a^{4}+3z^{4}a^{2}+2z^{2}a^{2}+2a^{2}+4z^{4}+2z^{2}+3z^{4}a^{-2}+z^{2}a^{-2}+z^{4}a^{-4}-z^{2}a^{-4}-z^{2}a^{-6}$
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 \text{QuantumGroups$\grave{ }$a} z^{13}+z^{13} $Failed^{-1} +3 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+3 z^{12} $Failed^{-1} +6 z^{12}+5 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+3 \text{QuantumGroups$\grave{ }$a} z^{11}+2 z^{11} $Failed^{-1} +4 z^{11} $Failed^{-1} +6 \text{QuantumGroups$\grave{ }$a}^4 z^{10}-8 \text{QuantumGroups$\grave{ }$a}^2 z^{10}-13 z^{10} $Failed^{-1} +4 z^{10} $Failed^{-1} -31 z^{10}+5 \text{QuantumGroups$\grave{ }$a}^5 z^9-20 \text{QuantumGroups$\grave{ }$a}^3 z^9-33 \text{QuantumGroups$\grave{ }$a} z^9-29 z^9 $Failed^{-1} -17 z^9 $Failed^{-1} +4 z^9 $Failed^{-1} +3 \text{QuantumGroups$\grave{ }$a}^6 z^8-27 \text{QuantumGroups$\grave{ }$a}^4 z^8-9 \text{QuantumGroups$\grave{ }$a}^2 z^8+27 z^8 $Failed^{-1} -13 z^8 $Failed^{-1} +3 z^8 $Failed^{-1} +64 z^8+\text{QuantumGroups$\grave{ }$a}^7 z^7-21 \text{QuantumGroups$\grave{ }$a}^5 z^7+21 \text{QuantumGroups$\grave{ }$a}^3 z^7+79 \text{QuantumGroups$\grave{ }$a} z^7+87 z^7 $Failed^{-1} +36 z^7 $Failed^{-1} -14 z^7 $Failed^{-1} +z^7 $Failed^{-1} -12 \text{QuantumGroups$\grave{ }$a}^6 z^6+41 \text{QuantumGroups$\grave{ }$a}^4 z^6+49 \text{QuantumGroups$\grave{ }$a}^2 z^6-26 z^6 $Failed^{-1} +14 z^6 $Failed^{-1} -12 z^6 $Failed^{-1} -56 z^6-4 \text{QuantumGroups$\grave{ }$a}^7 z^5+24 \text{QuantumGroups$\grave{ }$a}^5 z^5+3 \text{QuantumGroups$\grave{ }$a}^3 z^5-71 \text{QuantumGroups$\grave{ }$a} z^5-108 z^5 $Failed^{-1} -45 z^5 $Failed^{-1} +13 z^5 $Failed^{-1} -4 z^5 $Failed^{-1} +10 \text{QuantumGroups$\grave{ }$a}^6 z^4-33 \text{QuantumGroups$\grave{ }$a}^4 z^4-47 \text{QuantumGroups$\grave{ }$a}^2 z^4+8 z^4 $Failed^{-1} -10 z^4 $Failed^{-1} +13 z^4 $Failed^{-1} +27 z^4+3 \text{QuantumGroups$\grave{ }$a}^7 z^3-12 \text{QuantumGroups$\grave{ }$a}^5 z^3-14 \text{QuantumGroups$\grave{ }$a}^3 z^3+32 \text{QuantumGroups$\grave{ }$a} z^3+61 z^3 $Failed^{-1} +22 z^3 $Failed^{-1} -4 z^3 $Failed^{-1} +4 z^3 $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^6 z^2+12 \text{QuantumGroups$\grave{ }$a}^4 z^2+14 \text{QuantumGroups$\grave{ }$a}^2 z^2-z^2 $Failed^{-1} +z^2 $Failed^{-1} -3 z^2 $Failed^{-1} -4 z^2+3 \text{QuantumGroups$\grave{ }$a}^5 z+3 \text{QuantumGroups$\grave{ }$a}^3 z-6 \text{QuantumGroups$\grave{ }$a} z-10 z $Failed^{-1} -4 z $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^4-2 \text{QuantumGroups$\grave{ }$a}^2}

Modifying This Page

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