K14a13473

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a13473

Polynomial invariants

Jones polynomial	Data:K14a13473/Jones Polynomial
Alexander polynomial	$4t^{4}-21t^{3}+55t^{2}-91t+107-91t^{-1}+55t^{-2}-21t^{-3}+4t^{-4}$
Conway polynomial	Data:K14a13473/Conway Polynomial
Determinant	Data:K14a13473/Determinant
Signature	Data:K14a13473/Signature
HOMFLY-PT polynomial	$-z^{6}a^{10}-3z^{4}a^{10}-3z^{2}a^{10}-a^{10}+z^{8}a^{8}+3z^{6}a^{8}+4z^{4}a^{8}+4z^{2}a^{8}+2a^{8}+2z^{8}a^{6}+7z^{6}a^{6}+7z^{4}a^{6}-3a^{6}+z^{8}a^{4}+3z^{6}a^{4}+4z^{4}a^{4}+5z^{2}a^{4}+3a^{4}-z^{6}a^{2}-3z^{4}a^{2}-2z^{2}a^{2}$
Kauffman polynomial	Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle z^7 \text{QuantumGroups$\grave{ }$a}^{15}-3 z^5 \text{QuantumGroups$\grave{ }$a}^{15}+2 z^3 \text{QuantumGroups$\grave{ }$a}^{15}+4 z^8 \text{QuantumGroups$\grave{ }$a}^{14}-11 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}-25 z^7 \text{QuantumGroups$\grave{ }$a}^{13}+24 z^5 \text{QuantumGroups$\grave{ }$a}^{13}-12 z^3 \text{QuantumGroups$\grave{ }$a}^{13}+2 z \text{QuantumGroups$\grave{ }$a}^{13}+13 z^{10} \text{QuantumGroups$\grave{ }$a}^{12}-34 z^8 \text{QuantumGroups$\grave{ }$a}^{12}+34 z^6 \text{QuantumGroups$\grave{ }$a}^{12}-18 z^4 \text{QuantumGroups$\grave{ }$a}^{12}+3 z^2 \text{QuantumGroups$\grave{ }$a}^{12}+12 z^{11} \text{QuantumGroups$\grave{ }$a}^{11}-21 z^9 \text{QuantumGroups$\grave{ }$a}^{11}+5 z^7 \text{QuantumGroups$\grave{ }$a}^{11}+10 z^5 \text{QuantumGroups$\grave{ }$a}^{11}-7 z^3 \text{QuantumGroups$\grave{ }$a}^{11}+7 z^{12} \text{QuantumGroups$\grave{ }$a}^{10}+3 z^{10} \text{QuantumGroups$\grave{ }$a}^{10}-33 z^8 \text{QuantumGroups$\grave{ }$a}^{10}+37 z^6 \text{QuantumGroups$\grave{ }$a}^{10}-14 z^4 \text{QuantumGroups$\grave{ }$a}^{10}+z^2 \text{QuantumGroups$\grave{ }$a}^{10}+\text{QuantumGroups$\grave{ }$a}^{10}+2 z^{13} \text{QuantumGroups$\grave{ }$a}^9+19 z^{11} \text{QuantumGroups$\grave{ }$a}^9-53 z^9 \text{QuantumGroups$\grave{ }$a}^9+60 z^7 \text{QuantumGroups$\grave{ }$a}^9-42 z^5 \text{QuantumGroups$\grave{ }$a}^9+24 z^3 \text{QuantumGroups$\grave{ }$a}^9-6 z \text{QuantumGroups$\grave{ }$a}^9+14 z^{12} \text{QuantumGroups$\grave{ }$a}^8-21 z^{10} \text{QuantumGroups$\grave{ }$a}^8+7 z^8 \text{QuantumGroups$\grave{ }$a}^8+7 z^6 \text{QuantumGroups$\grave{ }$a}^8-4 z^4 \text{QuantumGroups$\grave{ }$a}^8-z^2 \text{QuantumGroups$\grave{ }$a}^8+2 \text{QuantumGroups$\grave{ }$a}^8+2 z^{13} \text{QuantumGroups$\grave{ }$a}^7+19 z^{11} \text{QuantumGroups$\grave{ }$a}^7-59 z^9 \text{QuantumGroups$\grave{ }$a}^7+82 z^7 \text{QuantumGroups$\grave{ }$a}^7-64 z^5 \text{QuantumGroups$\grave{ }$a}^7+29 z^3 \text{QuantumGroups$\grave{ }$a}^7-8 z \text{QuantumGroups$\grave{ }$a}^7+7 z^{12} \text{QuantumGroups$\grave{ }$a}^6+z^{10} \text{QuantumGroups$\grave{ }$a}^6-35 z^8 \text{QuantumGroups$\grave{ }$a}^6+64 z^6 \text{QuantumGroups$\grave{ }$a}^6-47 z^4 \text{QuantumGroups$\grave{ }$a}^6+6 z^2 \text{QuantumGroups$\grave{ }$a}^6+3 \text{QuantumGroups$\grave{ }$a}^6+12 z^{11} \text{QuantumGroups$\grave{ }$a}^5-28 z^9 \text{QuantumGroups$\grave{ }$a}^5+31 z^7 \text{QuantumGroups$\grave{ }$a}^5-21 z^5 \text{QuantumGroups$\grave{ }$a}^5+8 z^3 \text{QuantumGroups$\grave{ }$a}^5-4 z \text{QuantumGroups$\grave{ }$a}^5+12 z^{10} \text{QuantumGroups$\grave{ }$a}^4-33 z^8 \text{QuantumGroups$\grave{ }$a}^4+37 z^6 \text{QuantumGroups$\grave{ }$a}^4-21 z^4 \text{QuantumGroups$\grave{ }$a}^4+z^2 \text{QuantumGroups$\grave{ }$a}^4+3 \text{QuantumGroups$\grave{ }$a}^4+8 z^9 \text{QuantumGroups$\grave{ }$a}^3-21 z^7 \text{QuantumGroups$\grave{ }$a}^3+15 z^5 \text{QuantumGroups$\grave{ }$a}^3-2 z^3 \text{QuantumGroups$\grave{ }$a}^3+4 z^8 \text{QuantumGroups$\grave{ }$a}^2-12 z^6 \text{QuantumGroups$\grave{ }$a}^2+10 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}}

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