K14a2648

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a2648

Polynomial invariants

Jones polynomial	Data:K14a2648/Jones Polynomial
Alexander polynomial	$2t^{4}-15t^{3}+43t^{2}-72t+85-72t^{-1}+43t^{-2}-15t^{-3}+2t^{-4}$
Conway polynomial	Data:K14a2648/Conway Polynomial
Determinant	Data:K14a2648/Determinant
Signature	Data:K14a2648/Signature
HOMFLY-PT polynomial	$z^{4}a^{10}+3z^{2}a^{10}+2a^{10}-2z^{6}a^{8}-7z^{4}a^{8}-9z^{2}a^{8}-5a^{8}+z^{8}a^{6}+3z^{6}a^{6}+5z^{4}a^{6}+8z^{2}a^{6}+5a^{6}+z^{8}a^{4}+2z^{6}a^{4}-z^{4}a^{4}-3z^{2}a^{4}-2a^{4}-2z^{6}a^{2}-6z^{4}a^{2}-5z^{2}a^{2}-a^{2}+z^{4}+3z^{2}+2$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle z^6 \text{QuantumGroups$\grave{ }$a}^{14}-3 z^4 \text{QuantumGroups$\grave{ }$a}^{14}+2 z^2 \text{QuantumGroups$\grave{ }$a}^{14}+3 z^7 \text{QuantumGroups$\grave{ }$a}^{13}-7 z^5 \text{QuantumGroups$\grave{ }$a}^{13}+3 z^3 \text{QuantumGroups$\grave{ }$a}^{13}+6 z^8 \text{QuantumGroups$\grave{ }$a}^{12}-13 z^6 \text{QuantumGroups$\grave{ }$a}^{12}+8 z^4 \text{QuantumGroups$\grave{ }$a}^{12}-3 z^2 \text{QuantumGroups$\grave{ }$a}^{12}+10 z^9 \text{QuantumGroups$\grave{ }$a}^{11}-27 z^7 \text{QuantumGroups$\grave{ }$a}^{11}+36 z^5 \text{QuantumGroups$\grave{ }$a}^{11}-26 z^3 \text{QuantumGroups$\grave{ }$a}^{11}+6 z \text{QuantumGroups$\grave{ }$a}^{11}+12 z^{10} \text{QuantumGroups$\grave{ }$a}^{10}-33 z^8 \text{QuantumGroups$\grave{ }$a}^{10}+46 z^6 \text{QuantumGroups$\grave{ }$a}^{10}-28 z^4 \text{QuantumGroups$\grave{ }$a}^{10}+9 z^2 \text{QuantumGroups$\grave{ }$a}^{10}-2 \text{QuantumGroups$\grave{ }$a}^{10}+9 z^{11} \text{QuantumGroups$\grave{ }$a}^9-11 z^9 \text{QuantumGroups$\grave{ }$a}^9-19 z^7 \text{QuantumGroups$\grave{ }$a}^9+66 z^5 \text{QuantumGroups$\grave{ }$a}^9-49 z^3 \text{QuantumGroups$\grave{ }$a}^9+12 z \text{QuantumGroups$\grave{ }$a}^9+4 z^{12} \text{QuantumGroups$\grave{ }$a}^8+13 z^{10} \text{QuantumGroups$\grave{ }$a}^8-68 z^8 \text{QuantumGroups$\grave{ }$a}^8+112 z^6 \text{QuantumGroups$\grave{ }$a}^8-78 z^4 \text{QuantumGroups$\grave{ }$a}^8+30 z^2 \text{QuantumGroups$\grave{ }$a}^8-5 \text{QuantumGroups$\grave{ }$a}^8+z^{13} \text{QuantumGroups$\grave{ }$a}^7+14 z^{11} \text{QuantumGroups$\grave{ }$a}^7-30 z^9 \text{QuantumGroups$\grave{ }$a}^7-5 z^7 \text{QuantumGroups$\grave{ }$a}^7+57 z^5 \text{QuantumGroups$\grave{ }$a}^7-46 z^3 \text{QuantumGroups$\grave{ }$a}^7+11 z \text{QuantumGroups$\grave{ }$a}^7+7 z^{12} \text{QuantumGroups$\grave{ }$a}^6+2 z^{10} \text{QuantumGroups$\grave{ }$a}^6-49 z^8 \text{QuantumGroups$\grave{ }$a}^6+75 z^6 \text{QuantumGroups$\grave{ }$a}^6-60 z^4 \text{QuantumGroups$\grave{ }$a}^6+26 z^2 \text{QuantumGroups$\grave{ }$a}^6-5 \text{QuantumGroups$\grave{ }$a}^6+z^{13} \text{QuantumGroups$\grave{ }$a}^5+10 z^{11} \text{QuantumGroups$\grave{ }$a}^5-19 z^9 \text{QuantumGroups$\grave{ }$a}^5-19 z^7 \text{QuantumGroups$\grave{ }$a}^5+45 z^5 \text{QuantumGroups$\grave{ }$a}^5-33 z^3 \text{QuantumGroups$\grave{ }$a}^5+8 z \text{QuantumGroups$\grave{ }$a}^5+3 z^{12} \text{QuantumGroups$\grave{ }$a}^4+6 z^{10} \text{QuantumGroups$\grave{ }$a}^4-36 z^8 \text{QuantumGroups$\grave{ }$a}^4+37 z^6 \text{QuantumGroups$\grave{ }$a}^4-23 z^4 \text{QuantumGroups$\grave{ }$a}^4+10 z^2 \text{QuantumGroups$\grave{ }$a}^4-2 \text{QuantumGroups$\grave{ }$a}^4+5 z^{11} \text{QuantumGroups$\grave{ }$a}^3-7 z^9 \text{QuantumGroups$\grave{ }$a}^3-15 z^7 \text{QuantumGroups$\grave{ }$a}^3+27 z^5 \text{QuantumGroups$\grave{ }$a}^3-15 z^3 \text{QuantumGroups$\grave{ }$a}^3+4 z \text{QuantumGroups$\grave{ }$a}^3+5 z^{10} \text{QuantumGroups$\grave{ }$a}^2-15 z^8 \text{QuantumGroups$\grave{ }$a}^2+9 z^6 \text{QuantumGroups$\grave{ }$a}^2+7 z^4 \text{QuantumGroups$\grave{ }$a}^2-7 z^2 \text{QuantumGroups$\grave{ }$a}^2+\text{QuantumGroups$\grave{ }$a}^2+3 z^9 \text{QuantumGroups$\grave{ }$a}-12 z^7 \text{QuantumGroups$\grave{ }$a}+16 z^5 \text{QuantumGroups$\grave{ }$a}-8 z^3 \text{QuantumGroups$\grave{ }$a}+z \text{QuantumGroups$\grave{ }$a}+z^8-5 z^6+9 z^4-7 z^2+2}

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