K14a5779

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a5779

Polynomial invariants

Jones polynomial	Data:K14a5779/Jones Polynomial
Alexander polynomial	$2t^{4}-18t^{3}+68t^{2}-135t+167-135t^{-1}+68t^{-2}-18t^{-3}+2t^{-4}$
Conway polynomial	Data:K14a5779/Conway Polynomial
Determinant	Data:K14a5779/Determinant
Signature	Data:K14a5779/Signature
HOMFLY-PT polynomial	$-z^{2}a^{12}-a^{12}+3z^{4}a^{10}+4z^{2}a^{10}+a^{10}-3z^{6}a^{8}-4z^{4}a^{8}-z^{2}a^{8}-a^{8}+z^{8}a^{6}-2z^{4}a^{6}+a^{6}+z^{8}a^{4}+2z^{6}a^{4}+4z^{4}a^{4}+5z^{2}a^{4}+a^{4}-z^{6}a^{2}-z^{4}a^{2}$
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}+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}-13 z^4 \text{QuantumGroups$\grave{ }$a}^{12}+5 z^2 \text{QuantumGroups$\grave{ }$a}^{12}-\text{QuantumGroups$\grave{ }$a}^{12}+15 z^{11} \text{QuantumGroups$\grave{ }$a}^{11}-20 z^9 \text{QuantumGroups$\grave{ }$a}^{11}+2 z^7 \text{QuantumGroups$\grave{ }$a}^{11}+10 z^5 \text{QuantumGroups$\grave{ }$a}^{11}-7 z^3 \text{QuantumGroups$\grave{ }$a}^{11}+10 z^{12} \text{QuantumGroups$\grave{ }$a}^{10}+10 z^{10} \text{QuantumGroups$\grave{ }$a}^{10}-61 z^8 \text{QuantumGroups$\grave{ }$a}^{10}+80 z^6 \text{QuantumGroups$\grave{ }$a}^{10}-48 z^4 \text{QuantumGroups$\grave{ }$a}^{10}+12 z^2 \text{QuantumGroups$\grave{ }$a}^{10}-\text{QuantumGroups$\grave{ }$a}^{10}+3 z^{13} \text{QuantumGroups$\grave{ }$a}^9+35 z^{11} \text{QuantumGroups$\grave{ }$a}^9-91 z^9 \text{QuantumGroups$\grave{ }$a}^9+88 z^7 \text{QuantumGroups$\grave{ }$a}^9-42 z^5 \text{QuantumGroups$\grave{ }$a}^9+14 z^3 \text{QuantumGroups$\grave{ }$a}^9-3 z \text{QuantumGroups$\grave{ }$a}^9+23 z^{12} \text{QuantumGroups$\grave{ }$a}^8-10 z^{10} \text{QuantumGroups$\grave{ }$a}^8-75 z^8 \text{QuantumGroups$\grave{ }$a}^8+114 z^6 \text{QuantumGroups$\grave{ }$a}^8-64 z^4 \text{QuantumGroups$\grave{ }$a}^8+17 z^2 \text{QuantumGroups$\grave{ }$a}^8-\text{QuantumGroups$\grave{ }$a}^8+3 z^{13} \text{QuantumGroups$\grave{ }$a}^7+44 z^{11} \text{QuantumGroups$\grave{ }$a}^7-110 z^9 \text{QuantumGroups$\grave{ }$a}^7+82 z^7 \text{QuantumGroups$\grave{ }$a}^7-20 z^5 \text{QuantumGroups$\grave{ }$a}^7+2 z^3 \text{QuantumGroups$\grave{ }$a}^7+13 z^{12} \text{QuantumGroups$\grave{ }$a}^6+19 z^{10} \text{QuantumGroups$\grave{ }$a}^6-102 z^8 \text{QuantumGroups$\grave{ }$a}^6+102 z^6 \text{QuantumGroups$\grave{ }$a}^6-41 z^4 \text{QuantumGroups$\grave{ }$a}^6+8 z^2 \text{QuantumGroups$\grave{ }$a}^6-\text{QuantumGroups$\grave{ }$a}^6+24 z^{11} \text{QuantumGroups$\grave{ }$a}^5-32 z^9 \text{QuantumGroups$\grave{ }$a}^5-16 z^7 \text{QuantumGroups$\grave{ }$a}^5+32 z^5 \text{QuantumGroups$\grave{ }$a}^5-12 z^3 \text{QuantumGroups$\grave{ }$a}^5+25 z^{10} \text{QuantumGroups$\grave{ }$a}^4-50 z^8 \text{QuantumGroups$\grave{ }$a}^4+25 z^6 \text{QuantumGroups$\grave{ }$a}^4-4 z^2 \text{QuantumGroups$\grave{ }$a}^4+\text{QuantumGroups$\grave{ }$a}^4+16 z^9 \text{QuantumGroups$\grave{ }$a}^3-32 z^7 \text{QuantumGroups$\grave{ }$a}^3+18 z^5 \text{QuantumGroups$\grave{ }$a}^3-3 z^3 \text{QuantumGroups$\grave{ }$a}^3+6 z^8 \text{QuantumGroups$\grave{ }$a}^2-10 z^6 \text{QuantumGroups$\grave{ }$a}^2+4 z^4 \text{QuantumGroups$\grave{ }$a}^2+z^7 \text{QuantumGroups$\grave{ }$a}-z^5 \text{QuantumGroups$\grave{ }$a}}

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