K14n5818

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n5818

Polynomial invariants

Jones polynomial	Data:K14n5818/Jones Polynomial
Alexander polynomial	$-t^{5}+5t^{4}-7t^{3}+2t^{2}+7t-11+7t^{-1}+2t^{-2}-7t^{-3}+5t^{-4}-t^{-5}$
Conway polynomial	Data:K14n5818/Conway Polynomial
Determinant	Data:K14n5818/Determinant
Signature	Data:K14n5818/Signature
HOMFLY-PT polynomial	$2z^{2}a^{14}+3a^{14}-z^{6}a^{12}-10z^{4}a^{12}-21z^{2}a^{12}-12a^{12}+2z^{8}a^{10}+16z^{6}a^{10}+41z^{4}a^{10}+43z^{2}a^{10}+17a^{10}-z^{10}a^{8}-8z^{8}a^{8}-24z^{6}a^{8}-38z^{4}a^{8}-34z^{2}a^{8}-13a^{8}+z^{8}a^{6}+7z^{6}a^{6}+17z^{4}a^{6}+17z^{2}a^{6}+6a^{6}$
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^6 \text{QuantumGroups$\grave{ }$a}^{18}-3 z^4 \text{QuantumGroups$\grave{ }$a}^{18}+2 z^2 \text{QuantumGroups$\grave{ }$a}^{18}+3 z^7 \text{QuantumGroups$\grave{ }$a}^{17}-10 z^5 \text{QuantumGroups$\grave{ }$a}^{17}+8 z^3 \text{QuantumGroups$\grave{ }$a}^{17}-2 z \text{QuantumGroups$\grave{ }$a}^{17}+3 z^8 \text{QuantumGroups$\grave{ }$a}^{16}-8 z^6 \text{QuantumGroups$\grave{ }$a}^{16}+z^4 \text{QuantumGroups$\grave{ }$a}^{16}+z^2 \text{QuantumGroups$\grave{ }$a}^{16}+z^9 \text{QuantumGroups$\grave{ }$a}^{15}+z^7 \text{QuantumGroups$\grave{ }$a}^{15}-13 z^5 \text{QuantumGroups$\grave{ }$a}^{15}+9 z^3 \text{QuantumGroups$\grave{ }$a}^{15}-2 z \text{QuantumGroups$\grave{ }$a}^{15}+z^8 \text{QuantumGroups$\grave{ }$a}^{14}-3 z^6 \text{QuantumGroups$\grave{ }$a}^{14}-6 z^4 \text{QuantumGroups$\grave{ }$a}^{14}+8 z^2 \text{QuantumGroups$\grave{ }$a}^{14}-3 \text{QuantumGroups$\grave{ }$a}^{14}+z^9 \text{QuantumGroups$\grave{ }$a}^{13}-14 z^7 \text{QuantumGroups$\grave{ }$a}^{13}+32 z^5 \text{QuantumGroups$\grave{ }$a}^{13}-27 z^3 \text{QuantumGroups$\grave{ }$a}^{13}+8 z \text{QuantumGroups$\grave{ }$a}^{13}+5 z^{10} \text{QuantumGroups$\grave{ }$a}^{12}-43 z^8 \text{QuantumGroups$\grave{ }$a}^{12}+105 z^6 \text{QuantumGroups$\grave{ }$a}^{12}-109 z^4 \text{QuantumGroups$\grave{ }$a}^{12}+58 z^2 \text{QuantumGroups$\grave{ }$a}^{12}-12 \text{QuantumGroups$\grave{ }$a}^{12}+4 z^{11} \text{QuantumGroups$\grave{ }$a}^{11}-26 z^9 \text{QuantumGroups$\grave{ }$a}^{11}+35 z^7 \text{QuantumGroups$\grave{ }$a}^{11}+10 z^5 \text{QuantumGroups$\grave{ }$a}^{11}-27 z^3 \text{QuantumGroups$\grave{ }$a}^{11}+8 z \text{QuantumGroups$\grave{ }$a}^{11}+z^{12} \text{QuantumGroups$\grave{ }$a}^{10}+3 z^{10} \text{QuantumGroups$\grave{ }$a}^{10}-61 z^8 \text{QuantumGroups$\grave{ }$a}^{10}+172 z^6 \text{QuantumGroups$\grave{ }$a}^{10}-186 z^4 \text{QuantumGroups$\grave{ }$a}^{10}+91 z^2 \text{QuantumGroups$\grave{ }$a}^{10}-17 \text{QuantumGroups$\grave{ }$a}^{10}+6 z^{11} \text{QuantumGroups$\grave{ }$a}^9-40 z^9 \text{QuantumGroups$\grave{ }$a}^9+80 z^7 \text{QuantumGroups$\grave{ }$a}^9-56 z^5 \text{QuantumGroups$\grave{ }$a}^9+10 z^3 \text{QuantumGroups$\grave{ }$a}^9+z \text{QuantumGroups$\grave{ }$a}^9+z^{12} \text{QuantumGroups$\grave{ }$a}^8-z^{10} \text{QuantumGroups$\grave{ }$a}^8-28 z^8 \text{QuantumGroups$\grave{ }$a}^8+97 z^6 \text{QuantumGroups$\grave{ }$a}^8-121 z^4 \text{QuantumGroups$\grave{ }$a}^8+65 z^2 \text{QuantumGroups$\grave{ }$a}^8-13 \text{QuantumGroups$\grave{ }$a}^8+2 z^{11} \text{QuantumGroups$\grave{ }$a}^7-14 z^9 \text{QuantumGroups$\grave{ }$a}^7+33 z^7 \text{QuantumGroups$\grave{ }$a}^7-31 z^5 \text{QuantumGroups$\grave{ }$a}^7+9 z^3 \text{QuantumGroups$\grave{ }$a}^7+z \text{QuantumGroups$\grave{ }$a}^7+z^{10} \text{QuantumGroups$\grave{ }$a}^6-8 z^8 \text{QuantumGroups$\grave{ }$a}^6+24 z^6 \text{QuantumGroups$\grave{ }$a}^6-34 z^4 \text{QuantumGroups$\grave{ }$a}^6+23 z^2 \text{QuantumGroups$\grave{ }$a}^6-6 \text{QuantumGroups$\grave{ }$a}^6}

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