K14a1632

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a1632

Polynomial invariants

Jones polynomial	Data:K14a1632/Jones Polynomial
Alexander polynomial	$5t^{4}-25t^{3}+69t^{2}-121t+145-121t^{-1}+69t^{-2}-25t^{-3}+5t^{-4}$
Conway polynomial	Data:K14a1632/Conway Polynomial
Determinant	Data:K14a1632/Determinant
Signature	Data:K14a1632/Signature
HOMFLY-PT polynomial	$-z^{6}a^{10}-3z^{4}a^{10}-3z^{2}a^{10}+z^{8}a^{8}+2z^{6}a^{8}-z^{4}a^{8}-8z^{2}a^{8}-7a^{8}+3z^{8}a^{6}+14z^{6}a^{6}+29z^{4}a^{6}+30z^{2}a^{6}+12a^{6}+z^{8}a^{4}+z^{6}a^{4}-4z^{4}a^{4}-8z^{2}a^{4}-4a^{4}-z^{6}a^{2}-2z^{4}a^{2}-z^{2}a^{2}$
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}-10 z^6 \text{QuantumGroups$\grave{ }$a}^{14}+8 z^4 \text{QuantumGroups$\grave{ }$a}^{14}-2 z^2 \text{QuantumGroups$\grave{ }$a}^{14}+9 z^9 \text{QuantumGroups$\grave{ }$a}^{13}-20 z^7 \text{QuantumGroups$\grave{ }$a}^{13}+16 z^5 \text{QuantumGroups$\grave{ }$a}^{13}-7 z^3 \text{QuantumGroups$\grave{ }$a}^{13}+2 z \text{QuantumGroups$\grave{ }$a}^{13}+14 z^{10} \text{QuantumGroups$\grave{ }$a}^{12}-28 z^8 \text{QuantumGroups$\grave{ }$a}^{12}+23 z^6 \text{QuantumGroups$\grave{ }$a}^{12}-12 z^4 \text{QuantumGroups$\grave{ }$a}^{12}+3 z^2 \text{QuantumGroups$\grave{ }$a}^{12}+15 z^{11} \text{QuantumGroups$\grave{ }$a}^{11}-21 z^9 \text{QuantumGroups$\grave{ }$a}^{11}+6 z^7 \text{QuantumGroups$\grave{ }$a}^{11}+4 z^5 \text{QuantumGroups$\grave{ }$a}^{11}-3 z^3 \text{QuantumGroups$\grave{ }$a}^{11}-z \text{QuantumGroups$\grave{ }$a}^{11}+9 z^{12} \text{QuantumGroups$\grave{ }$a}^{10}+15 z^{10} \text{QuantumGroups$\grave{ }$a}^{10}-71 z^8 \text{QuantumGroups$\grave{ }$a}^{10}+86 z^6 \text{QuantumGroups$\grave{ }$a}^{10}-45 z^4 \text{QuantumGroups$\grave{ }$a}^{10}+7 z^2 \text{QuantumGroups$\grave{ }$a}^{10}+2 z^{13} \text{QuantumGroups$\grave{ }$a}^9+38 z^{11} \text{QuantumGroups$\grave{ }$a}^9-91 z^9 \text{QuantumGroups$\grave{ }$a}^9+75 z^7 \text{QuantumGroups$\grave{ }$a}^9-23 z^5 \text{QuantumGroups$\grave{ }$a}^9+z^3 \text{QuantumGroups$\grave{ }$a}^9+z \text{QuantumGroups$\grave{ }$a}^9+18 z^{12} \text{QuantumGroups$\grave{ }$a}^8+14 z^{10} \text{QuantumGroups$\grave{ }$a}^8-125 z^8 \text{QuantumGroups$\grave{ }$a}^8+171 z^6 \text{QuantumGroups$\grave{ }$a}^8-106 z^4 \text{QuantumGroups$\grave{ }$a}^8+37 z^2 \text{QuantumGroups$\grave{ }$a}^8-7 \text{QuantumGroups$\grave{ }$a}^8+2 z^{13} \text{QuantumGroups$\grave{ }$a}^7+41 z^{11} \text{QuantumGroups$\grave{ }$a}^7-87 z^9 \text{QuantumGroups$\grave{ }$a}^7+34 z^7 \text{QuantumGroups$\grave{ }$a}^7+35 z^5 \text{QuantumGroups$\grave{ }$a}^7-36 z^3 \text{QuantumGroups$\grave{ }$a}^7+12 z \text{QuantumGroups$\grave{ }$a}^7+9 z^{12} \text{QuantumGroups$\grave{ }$a}^6+33 z^{10} \text{QuantumGroups$\grave{ }$a}^6-133 z^8 \text{QuantumGroups$\grave{ }$a}^6+163 z^6 \text{QuantumGroups$\grave{ }$a}^6-110 z^4 \text{QuantumGroups$\grave{ }$a}^6+48 z^2 \text{QuantumGroups$\grave{ }$a}^6-12 \text{QuantumGroups$\grave{ }$a}^6+18 z^{11} \text{QuantumGroups$\grave{ }$a}^5-13 z^9 \text{QuantumGroups$\grave{ }$a}^5-44 z^7 \text{QuantumGroups$\grave{ }$a}^5+70 z^5 \text{QuantumGroups$\grave{ }$a}^5-44 z^3 \text{QuantumGroups$\grave{ }$a}^5+11 z \text{QuantumGroups$\grave{ }$a}^5+20 z^{10} \text{QuantumGroups$\grave{ }$a}^4-42 z^8 \text{QuantumGroups$\grave{ }$a}^4+35 z^6 \text{QuantumGroups$\grave{ }$a}^4-23 z^4 \text{QuantumGroups$\grave{ }$a}^4+12 z^2 \text{QuantumGroups$\grave{ }$a}^4-4 \text{QuantumGroups$\grave{ }$a}^4+13 z^9 \text{QuantumGroups$\grave{ }$a}^3-29 z^7 \text{QuantumGroups$\grave{ }$a}^3+25 z^5 \text{QuantumGroups$\grave{ }$a}^3-13 z^3 \text{QuantumGroups$\grave{ }$a}^3+4 z \text{QuantumGroups$\grave{ }$a}^3+5 z^8 \text{QuantumGroups$\grave{ }$a}^2-10 z^6 \text{QuantumGroups$\grave{ }$a}^2+6 z^4 \text{QuantumGroups$\grave{ }$a}^2-z^2 \text{QuantumGroups$\grave{ }$a}^2+z^7 \text{QuantumGroups$\grave{ }$a}-2 z^5 \text{QuantumGroups$\grave{ }$a}+z^3 \text{QuantumGroups$\grave{ }$a}}

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