K14a216

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a216

Polynomial invariants

Jones polynomial	Data:K14a216/Jones Polynomial
Alexander polynomial	$-t^{5}+8t^{4}-29t^{3}+62t^{2}-89t+99-89t^{-1}+62t^{-2}-29t^{-3}+8t^{-4}-t^{-5}$
Conway polynomial	Data:K14a216/Conway Polynomial
Determinant	Data:K14a216/Determinant
Signature	Data:K14a216/Signature
HOMFLY-PT polynomial	$z^{4}a^{10}+3z^{2}a^{10}+a^{10}-3z^{6}a^{8}-12z^{4}a^{8}-13z^{2}a^{8}-4a^{8}+3z^{8}a^{6}+15z^{6}a^{6}+27z^{4}a^{6}+22z^{2}a^{6}+6a^{6}-z^{10}a^{4}-6z^{8}a^{4}-16z^{6}a^{4}-24z^{4}a^{4}-17z^{2}a^{4}-5a^{4}+z^{8}a^{2}+4z^{6}a^{2}+6z^{4}a^{2}+6z^{2}a^{2}+3a^{2}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle z^6 \text{QuantumGroups$\grave{ }$a}^{14}-2 z^4 \text{QuantumGroups$\grave{ }$a}^{14}+z^2 \text{QuantumGroups$\grave{ }$a}^{14}+4 z^7 \text{QuantumGroups$\grave{ }$a}^{13}-8 z^5 \text{QuantumGroups$\grave{ }$a}^{13}+5 z^3 \text{QuantumGroups$\grave{ }$a}^{13}-z \text{QuantumGroups$\grave{ }$a}^{13}+8 z^8 \text{QuantumGroups$\grave{ }$a}^{12}-13 z^6 \text{QuantumGroups$\grave{ }$a}^{12}+6 z^4 \text{QuantumGroups$\grave{ }$a}^{12}-z^2 \text{QuantumGroups$\grave{ }$a}^{12}+12 z^9 \text{QuantumGroups$\grave{ }$a}^{11}-17 z^7 \text{QuantumGroups$\grave{ }$a}^{11}+5 z^5 \text{QuantumGroups$\grave{ }$a}^{11}+3 z^3 \text{QuantumGroups$\grave{ }$a}^{11}-2 z \text{QuantumGroups$\grave{ }$a}^{11}+15 z^{10} \text{QuantumGroups$\grave{ }$a}^{10}-24 z^8 \text{QuantumGroups$\grave{ }$a}^{10}+17 z^6 \text{QuantumGroups$\grave{ }$a}^{10}-7 z^4 \text{QuantumGroups$\grave{ }$a}^{10}+3 z^2 \text{QuantumGroups$\grave{ }$a}^{10}-\text{QuantumGroups$\grave{ }$a}^{10}+14 z^{11} \text{QuantumGroups$\grave{ }$a}^9-18 z^9 \text{QuantumGroups$\grave{ }$a}^9+3 z^7 \text{QuantumGroups$\grave{ }$a}^9+6 z^5 \text{QuantumGroups$\grave{ }$a}^9+3 z^3 \text{QuantumGroups$\grave{ }$a}^9-2 z \text{QuantumGroups$\grave{ }$a}^9+8 z^{12} \text{QuantumGroups$\grave{ }$a}^8+12 z^{10} \text{QuantumGroups$\grave{ }$a}^8-76 z^8 \text{QuantumGroups$\grave{ }$a}^8+114 z^6 \text{QuantumGroups$\grave{ }$a}^8-76 z^4 \text{QuantumGroups$\grave{ }$a}^8+27 z^2 \text{QuantumGroups$\grave{ }$a}^8-4 \text{QuantumGroups$\grave{ }$a}^8+2 z^{13} \text{QuantumGroups$\grave{ }$a}^7+31 z^{11} \text{QuantumGroups$\grave{ }$a}^7-103 z^9 \text{QuantumGroups$\grave{ }$a}^7+123 z^7 \text{QuantumGroups$\grave{ }$a}^7-72 z^5 \text{QuantumGroups$\grave{ }$a}^7+25 z^3 \text{QuantumGroups$\grave{ }$a}^7-4 z \text{QuantumGroups$\grave{ }$a}^7+17 z^{12} \text{QuantumGroups$\grave{ }$a}^6-15 z^{10} \text{QuantumGroups$\grave{ }$a}^6-81 z^8 \text{QuantumGroups$\grave{ }$a}^6+169 z^6 \text{QuantumGroups$\grave{ }$a}^6-134 z^4 \text{QuantumGroups$\grave{ }$a}^6+47 z^2 \text{QuantumGroups$\grave{ }$a}^6-6 \text{QuantumGroups$\grave{ }$a}^6+2 z^{13} \text{QuantumGroups$\grave{ }$a}^5+32 z^{11} \text{QuantumGroups$\grave{ }$a}^5-124 z^9 \text{QuantumGroups$\grave{ }$a}^5+157 z^7 \text{QuantumGroups$\grave{ }$a}^5-99 z^5 \text{QuantumGroups$\grave{ }$a}^5+31 z^3 \text{QuantumGroups$\grave{ }$a}^5-4 z \text{QuantumGroups$\grave{ }$a}^5+9 z^{12} \text{QuantumGroups$\grave{ }$a}^4-80 z^8 \text{QuantumGroups$\grave{ }$a}^4+138 z^6 \text{QuantumGroups$\grave{ }$a}^4-104 z^4 \text{QuantumGroups$\grave{ }$a}^4+37 z^2 \text{QuantumGroups$\grave{ }$a}^4-5 \text{QuantumGroups$\grave{ }$a}^4+15 z^{11} \text{QuantumGroups$\grave{ }$a}^3-46 z^9 \text{QuantumGroups$\grave{ }$a}^3+42 z^7 \text{QuantumGroups$\grave{ }$a}^3-20 z^5 \text{QuantumGroups$\grave{ }$a}^3+8 z^3 \text{QuantumGroups$\grave{ }$a}^3-z \text{QuantumGroups$\grave{ }$a}^3+12 z^{10} \text{QuantumGroups$\grave{ }$a}^2-42 z^8 \text{QuantumGroups$\grave{ }$a}^2+49 z^6 \text{QuantumGroups$\grave{ }$a}^2-29 z^4 \text{QuantumGroups$\grave{ }$a}^2+12 z^2 \text{QuantumGroups$\grave{ }$a}^2-3 \text{QuantumGroups$\grave{ }$a}^2+5 z^9 \text{QuantumGroups$\grave{ }$a}-16 z^7 \text{QuantumGroups$\grave{ }$a}+14 z^5 \text{QuantumGroups$\grave{ }$a}-3 z^3 \text{QuantumGroups$\grave{ }$a}+z^8-3 z^6+2 z^4}

Modifying This Page

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