K14n11777

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n11777

Polynomial invariants

Jones polynomial	Data:K14n11777/Jones Polynomial
Alexander polynomial	$-2t^{3}+14t^{2}-36t+49-36t^{-1}+14t^{-2}-2t^{-3}$
Conway polynomial	Data:K14n11777/Conway Polynomial
Determinant	Data:K14n11777/Determinant
Signature	Data:K14n11777/Signature
HOMFLY-PT polynomial	$-z^{2}a^{6}+2z^{4}a^{4}+z^{2}a^{4}-a^{4}-z^{6}a^{2}+2z^{2}a^{2}+a^{2}-z^{6}-z^{4}+2+z^{4}a^{-2}-a^{-2}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle \text{QuantumGroups$\grave{ }$a}^2 z^{12}+z^{12}+4 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+6 \text{QuantumGroups$\grave{ }$a} z^{11}+2 z^{11} $Failed^{-1} +7 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+8 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+z^{10} $Failed^{-1} +2 z^{10}+7 \text{QuantumGroups$\grave{ }$a}^5 z^9-4 \text{QuantumGroups$\grave{ }$a}^3 z^9-19 \text{QuantumGroups$\grave{ }$a} z^9-8 z^9 $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^6 z^8-20 \text{QuantumGroups$\grave{ }$a}^4 z^8-41 \text{QuantumGroups$\grave{ }$a}^2 z^8-5 z^8 $Failed^{-1} -22 z^8+\text{QuantumGroups$\grave{ }$a}^7 z^7-23 \text{QuantumGroups$\grave{ }$a}^5 z^7-23 \text{QuantumGroups$\grave{ }$a}^3 z^7+12 \text{QuantumGroups$\grave{ }$a} z^7+11 z^7 $Failed^{-1} -13 \text{QuantumGroups$\grave{ }$a}^6 z^6+11 \text{QuantumGroups$\grave{ }$a}^4 z^6+59 \text{QuantumGroups$\grave{ }$a}^2 z^6+14 z^6 $Failed^{-1} +49 z^6-3 \text{QuantumGroups$\grave{ }$a}^7 z^5+20 \text{QuantumGroups$\grave{ }$a}^5 z^5+39 \text{QuantumGroups$\grave{ }$a}^3 z^5+19 \text{QuantumGroups$\grave{ }$a} z^5+6 z^5 $Failed^{-1} +3 z^5 $Failed^{-1} +10 \text{QuantumGroups$\grave{ }$a}^6 z^4-4 \text{QuantumGroups$\grave{ }$a}^4 z^4-35 \text{QuantumGroups$\grave{ }$a}^2 z^4-12 z^4 $Failed^{-1} -33 z^4+2 \text{QuantumGroups$\grave{ }$a}^7 z^3-10 \text{QuantumGroups$\grave{ }$a}^5 z^3-23 \text{QuantumGroups$\grave{ }$a}^3 z^3-15 \text{QuantumGroups$\grave{ }$a} z^3-8 z^3 $Failed^{-1} -4 z^3 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^6 z^2+2 \text{QuantumGroups$\grave{ }$a}^4 z^2+11 \text{QuantumGroups$\grave{ }$a}^2 z^2+2 z^2 $Failed^{-1} +9 z^2+2 \text{QuantumGroups$\grave{ }$a}^5 z+3 \text{QuantumGroups$\grave{ }$a}^3 z+\text{QuantumGroups$\grave{ }$a} z-z $Failed^{-1} -z $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^4-\text{QuantumGroups$\grave{ }$a}^2+ $Failed^{-1} +2}

Modifying This Page

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