K14n17663

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n17663

Polynomial invariants

Jones polynomial	Data:K14n17663/Jones Polynomial
Alexander polynomial	$-t^{4}+8t^{3}-28t^{2}+55t-67+55t^{-1}-28t^{-2}+8t^{-3}-t^{-4}$
Conway polynomial	Data:K14n17663/Conway Polynomial
Determinant	Data:K14n17663/Determinant
Signature	Data:K14n17663/Signature
HOMFLY-PT polynomial	$-z^{4}a^{8}-2z^{2}a^{8}-a^{8}+2z^{6}a^{6}+6z^{4}a^{6}+7z^{2}a^{6}+3a^{6}-z^{8}a^{4}-4z^{6}a^{4}-8z^{4}a^{4}-7z^{2}a^{4}-2a^{4}+2z^{6}a^{2}+4z^{4}a^{2}+z^{2}a^{2}-a^{2}-z^{4}+2$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 3 \text{QuantumGroups$\grave{ }$a}^6 z^{12}+3 \text{QuantumGroups$\grave{ }$a}^4 z^{12}+8 \text{QuantumGroups$\grave{ }$a}^7 z^{11}+16 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+8 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+10 \text{QuantumGroups$\grave{ }$a}^8 z^{10}+8 \text{QuantumGroups$\grave{ }$a}^6 z^{10}+5 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+7 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+8 \text{QuantumGroups$\grave{ }$a}^9 z^9-18 \text{QuantumGroups$\grave{ }$a}^7 z^9-58 \text{QuantumGroups$\grave{ }$a}^5 z^9-30 \text{QuantumGroups$\grave{ }$a}^3 z^9+2 \text{QuantumGroups$\grave{ }$a} z^9+4 \text{QuantumGroups$\grave{ }$a}^{10} z^8-29 \text{QuantumGroups$\grave{ }$a}^8 z^8-53 \text{QuantumGroups$\grave{ }$a}^6 z^8-44 \text{QuantumGroups$\grave{ }$a}^4 z^8-24 \text{QuantumGroups$\grave{ }$a}^2 z^8+\text{QuantumGroups$\grave{ }$a}^{11} z^7-24 \text{QuantumGroups$\grave{ }$a}^9 z^7+8 \text{QuantumGroups$\grave{ }$a}^7 z^7+94 \text{QuantumGroups$\grave{ }$a}^5 z^7+64 \text{QuantumGroups$\grave{ }$a}^3 z^7+3 \text{QuantumGroups$\grave{ }$a} z^7-12 \text{QuantumGroups$\grave{ }$a}^{10} z^6+27 \text{QuantumGroups$\grave{ }$a}^8 z^6+92 \text{QuantumGroups$\grave{ }$a}^6 z^6+99 \text{QuantumGroups$\grave{ }$a}^4 z^6+52 \text{QuantumGroups$\grave{ }$a}^2 z^6+6 z^6-3 \text{QuantumGroups$\grave{ }$a}^{11} z^5+20 \text{QuantumGroups$\grave{ }$a}^9 z^5-76 \text{QuantumGroups$\grave{ }$a}^5 z^5-61 \text{QuantumGroups$\grave{ }$a}^3 z^5-7 \text{QuantumGroups$\grave{ }$a} z^5+z^5 $Failed^{-1} +9 \text{QuantumGroups$\grave{ }$a}^{10} z^4-18 \text{QuantumGroups$\grave{ }$a}^8 z^4-75 \text{QuantumGroups$\grave{ }$a}^6 z^4-86 \text{QuantumGroups$\grave{ }$a}^4 z^4-47 \text{QuantumGroups$\grave{ }$a}^2 z^4-9 z^4+2 \text{QuantumGroups$\grave{ }$a}^{11} z^3-8 \text{QuantumGroups$\grave{ }$a}^9 z^3+36 \text{QuantumGroups$\grave{ }$a}^5 z^3+30 \text{QuantumGroups$\grave{ }$a}^3 z^3+3 \text{QuantumGroups$\grave{ }$a} z^3-z^3 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^{10} z^2+7 \text{QuantumGroups$\grave{ }$a}^8 z^2+29 \text{QuantumGroups$\grave{ }$a}^6 z^2+30 \text{QuantumGroups$\grave{ }$a}^4 z^2+11 \text{QuantumGroups$\grave{ }$a}^2 z^2+z^2+\text{QuantumGroups$\grave{ }$a}^9 z-\text{QuantumGroups$\grave{ }$a}^7 z-8 \text{QuantumGroups$\grave{ }$a}^5 z-8 \text{QuantumGroups$\grave{ }$a}^3 z-2 \text{QuantumGroups$\grave{ }$a} z-\text{QuantumGroups$\grave{ }$a}^8-3 \text{QuantumGroups$\grave{ }$a}^6-2 \text{QuantumGroups$\grave{ }$a}^4+\text{QuantumGroups$\grave{ }$a}^2+2}

Modifying This Page

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