K14n17689

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n17689

Polynomial invariants

Jones polynomial	Data:K14n17689/Jones Polynomial
Alexander polynomial	$-4t^{3}+22t^{2}-52t+69-52t^{-1}+22t^{-2}-4t^{-3}$
Conway polynomial	Data:K14n17689/Conway Polynomial
Determinant	Data:K14n17689/Determinant
Signature	Data:K14n17689/Signature
HOMFLY-PT polynomial	$-a^{2}z^{6}-z^{6}a^{-2}-2z^{6}+a^{4}z^{4}-a^{2}z^{4}+z^{4}a^{-4}-3z^{4}+a^{4}z^{2}-2a^{2}z^{2}+2z^{2}a^{-2}-z^{2}+a^{4}-2a^{2}+2a^{-2}-a^{-4}+1$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 z^{12} $Failed^{-1} +2 z^{12}+7 \text{QuantumGroups$\grave{ }$a} z^{11}+10 z^{11} $Failed^{-1} +3 z^{11} $Failed^{-1} +12 \text{QuantumGroups$\grave{ }$a}^2 z^{10}-3 z^{10} $Failed^{-1} +z^{10} $Failed^{-1} +8 z^{10}+13 \text{QuantumGroups$\grave{ }$a}^3 z^9-11 \text{QuantumGroups$\grave{ }$a} z^9-35 z^9 $Failed^{-1} -11 z^9 $Failed^{-1} +9 \text{QuantumGroups$\grave{ }$a}^4 z^8-32 \text{QuantumGroups$\grave{ }$a}^2 z^8+7 z^8 $Failed^{-1} +3 z^8 $Failed^{-1} -37 z^8+4 \text{QuantumGroups$\grave{ }$a}^5 z^7-37 \text{QuantumGroups$\grave{ }$a}^3 z^7-6 \text{QuantumGroups$\grave{ }$a} z^7+66 z^7 $Failed^{-1} +36 z^7 $Failed^{-1} +5 z^7 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^6 z^6-22 \text{QuantumGroups$\grave{ }$a}^4 z^6+29 \text{QuantumGroups$\grave{ }$a}^2 z^6-z^6 $Failed^{-1} -7 z^6 $Failed^{-1} +z^6 $Failed^{-1} +59 z^6-8 \text{QuantumGroups$\grave{ }$a}^5 z^5+38 \text{QuantumGroups$\grave{ }$a}^3 z^5+33 \text{QuantumGroups$\grave{ }$a} z^5-56 z^5 $Failed^{-1} -55 z^5 $Failed^{-1} -12 z^5 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^6 z^4+14 \text{QuantumGroups$\grave{ }$a}^4 z^4-13 z^4 $Failed^{-1} -2 z^4 $Failed^{-1} -2 z^4 $Failed^{-1} -29 z^4+\text{QuantumGroups$\grave{ }$a}^5 z^3-17 \text{QuantumGroups$\grave{ }$a}^3 z^3-21 \text{QuantumGroups$\grave{ }$a} z^3+15 z^3 $Failed^{-1} +25 z^3 $Failed^{-1} +7 z^3 $Failed^{-1} -5 \text{QuantumGroups$\grave{ }$a}^4 z^2-7 \text{QuantumGroups$\grave{ }$a}^2 z^2+6 z^2 $Failed^{-1} +4 z^2 $Failed^{-1} +z^2 $Failed^{-1} +z^2+3 \text{QuantumGroups$\grave{ }$a}^3 z+5 \text{QuantumGroups$\grave{ }$a} z+z $Failed^{-1} -z $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^4+2 \text{QuantumGroups$\grave{ }$a}^2-2 $Failed^{-1} - $Failed^{-1} +1}

Modifying This Page

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