K14a987

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a987

Polynomial invariants

Jones polynomial	Data:K14a987/Jones Polynomial
Alexander polynomial	$5t^{4}-24t^{3}+62t^{2}-101t+117-101t^{-1}+62t^{-2}-24t^{-3}+5t^{-4}$
Conway polynomial	Data:K14a987/Conway Polynomial
Determinant	Data:K14a987/Determinant
Signature	Data:K14a987/Signature
HOMFLY-PT polynomial	$-z^{6}a^{10}-3z^{4}a^{10}-4z^{2}a^{10}-3a^{10}+z^{8}a^{8}+2z^{6}a^{8}+a^{8}+3z^{8}a^{6}+14z^{6}a^{6}+25z^{4}a^{6}+20z^{2}a^{6}+5a^{6}+z^{8}a^{4}+2z^{6}a^{4}-z^{4}a^{4}-3z^{2}a^{4}-2a^{4}-z^{6}a^{2}-3z^{4}a^{2}-2z^{2}a^{2}$
Kauffman polynomial	Failed to parse (syntax error): {\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}-9 z^6 \text{QuantumGroups$\grave{ }$a}^{14}+6 z^4 \text{QuantumGroups$\grave{ }$a}^{14}-z^2 \text{QuantumGroups$\grave{ }$a}^{14}+10 z^9 \text{QuantumGroups$\grave{ }$a}^{13}-25 z^7 \text{QuantumGroups$\grave{ }$a}^{13}+27 z^5 \text{QuantumGroups$\grave{ }$a}^{13}-20 z^3 \text{QuantumGroups$\grave{ }$a}^{13}+8 z \text{QuantumGroups$\grave{ }$a}^{13}+14 z^{10} \text{QuantumGroups$\grave{ }$a}^{12}-27 z^8 \text{QuantumGroups$\grave{ }$a}^{12}+14 z^6 \text{QuantumGroups$\grave{ }$a}^{12}-2 z^4 \text{QuantumGroups$\grave{ }$a}^{12}-z^2 \text{QuantumGroups$\grave{ }$a}^{12}+13 z^{11} \text{QuantumGroups$\grave{ }$a}^{11}-12 z^9 \text{QuantumGroups$\grave{ }$a}^{11}-21 z^7 \text{QuantumGroups$\grave{ }$a}^{11}+35 z^5 \text{QuantumGroups$\grave{ }$a}^{11}-26 z^3 \text{QuantumGroups$\grave{ }$a}^{11}+7 z \text{QuantumGroups$\grave{ }$a}^{11}+8 z^{12} \text{QuantumGroups$\grave{ }$a}^{10}+7 z^{10} \text{QuantumGroups$\grave{ }$a}^{10}-33 z^8 \text{QuantumGroups$\grave{ }$a}^{10}+6 z^6 \text{QuantumGroups$\grave{ }$a}^{10}+27 z^4 \text{QuantumGroups$\grave{ }$a}^{10}-22 z^2 \text{QuantumGroups$\grave{ }$a}^{10}+3 \text{QuantumGroups$\grave{ }$a}^{10}+2 z^{13} \text{QuantumGroups$\grave{ }$a}^9+27 z^{11} \text{QuantumGroups$\grave{ }$a}^9-70 z^9 \text{QuantumGroups$\grave{ }$a}^9+72 z^7 \text{QuantumGroups$\grave{ }$a}^9-49 z^5 \text{QuantumGroups$\grave{ }$a}^9+23 z^3 \text{QuantumGroups$\grave{ }$a}^9-4 z \text{QuantumGroups$\grave{ }$a}^9+16 z^{12} \text{QuantumGroups$\grave{ }$a}^8-13 z^{10} \text{QuantumGroups$\grave{ }$a}^8-29 z^8 \text{QuantumGroups$\grave{ }$a}^8+47 z^6 \text{QuantumGroups$\grave{ }$a}^8-17 z^4 \text{QuantumGroups$\grave{ }$a}^8+\text{QuantumGroups$\grave{ }$a}^8+2 z^{13} \text{QuantumGroups$\grave{ }$a}^7+28 z^{11} \text{QuantumGroups$\grave{ }$a}^7-85 z^9 \text{QuantumGroups$\grave{ }$a}^7+106 z^7 \text{QuantumGroups$\grave{ }$a}^7-66 z^5 \text{QuantumGroups$\grave{ }$a}^7+23 z^3 \text{QuantumGroups$\grave{ }$a}^7-z \text{QuantumGroups$\grave{ }$a}^7+8 z^{12} \text{QuantumGroups$\grave{ }$a}^6+8 z^{10} \text{QuantumGroups$\grave{ }$a}^6-69 z^8 \text{QuantumGroups$\grave{ }$a}^6+118 z^6 \text{QuantumGroups$\grave{ }$a}^6-89 z^4 \text{QuantumGroups$\grave{ }$a}^6+33 z^2 \text{QuantumGroups$\grave{ }$a}^6-5 \text{QuantumGroups$\grave{ }$a}^6+14 z^{11} \text{QuantumGroups$\grave{ }$a}^5-28 z^9 \text{QuantumGroups$\grave{ }$a}^5+14 z^7 \text{QuantumGroups$\grave{ }$a}^5+12 z^5 \text{QuantumGroups$\grave{ }$a}^5-15 z^3 \text{QuantumGroups$\grave{ }$a}^5+3 z \text{QuantumGroups$\grave{ }$a}^5+14 z^{10} \text{QuantumGroups$\grave{ }$a}^4-38 z^8 \text{QuantumGroups$\grave{ }$a}^4+43 z^6 \text{QuantumGroups$\grave{ }$a}^4-29 z^4 \text{QuantumGroups$\grave{ }$a}^4+9 z^2 \text{QuantumGroups$\grave{ }$a}^4-2 \text{QuantumGroups$\grave{ }$a}^4+9 z^9 \text{QuantumGroups$\grave{ }$a}^3-24 z^7 \text{QuantumGroups$\grave{ }$a}^3+21 z^5 \text{QuantumGroups$\grave{ }$a}^3-10 z^3 \text{QuantumGroups$\grave{ }$a}^3+2 z \text{QuantumGroups$\grave{ }$a}^3+4 z^8 \text{QuantumGroups$\grave{ }$a}^2-11 z^6 \text{QuantumGroups$\grave{ }$a}^2+8 z^4 \text{QuantumGroups$\grave{ }$a}^2-2 z^2 \text{QuantumGroups$\grave{ }$a}^2+z^7 \text{QuantumGroups$\grave{ }$a}-3 z^5 \text{QuantumGroups$\grave{ }$a}+2 z^3 \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.