K14a13419

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a13419

Polynomial invariants

Jones polynomial	Data:K14a13419/Jones Polynomial
Alexander polynomial	$5t^{4}-29t^{3}+82t^{2}-143t+171-143t^{-1}+82t^{-2}-29t^{-3}+5t^{-4}$
Conway polynomial	Data:K14a13419/Conway Polynomial
Determinant	Data:K14a13419/Determinant
Signature	Data:K14a13419/Signature
HOMFLY-PT polynomial	$-z^{6}a^{10}-2z^{4}a^{10}-z^{2}a^{10}+z^{8}a^{8}+z^{6}a^{8}-2z^{4}a^{8}-3z^{2}a^{8}-a^{8}+3z^{8}a^{6}+11z^{6}a^{6}+15z^{4}a^{6}+8z^{2}a^{6}+z^{8}a^{4}+z^{6}a^{4}-z^{4}a^{4}+z^{2}a^{4}+2a^{4}-z^{6}a^{2}-2z^{4}a^{2}-z^{2}a^{2}$
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}-2 z^5 \text{QuantumGroups$\grave{ }$a}^{15}+z^3 \text{QuantumGroups$\grave{ }$a}^{15}+5 z^8 \text{QuantumGroups$\grave{ }$a}^{14}-10 z^6 \text{QuantumGroups$\grave{ }$a}^{14}+6 z^4 \text{QuantumGroups$\grave{ }$a}^{14}-z^2 \text{QuantumGroups$\grave{ }$a}^{14}+13 z^9 \text{QuantumGroups$\grave{ }$a}^{13}-27 z^7 \text{QuantumGroups$\grave{ }$a}^{13}+21 z^5 \text{QuantumGroups$\grave{ }$a}^{13}-8 z^3 \text{QuantumGroups$\grave{ }$a}^{13}+z \text{QuantumGroups$\grave{ }$a}^{13}+22 z^{10} \text{QuantumGroups$\grave{ }$a}^{12}-46 z^8 \text{QuantumGroups$\grave{ }$a}^{12}+40 z^6 \text{QuantumGroups$\grave{ }$a}^{12}-19 z^4 \text{QuantumGroups$\grave{ }$a}^{12}+3 z^2 \text{QuantumGroups$\grave{ }$a}^{12}+24 z^{11} \text{QuantumGroups$\grave{ }$a}^{11}-37 z^9 \text{QuantumGroups$\grave{ }$a}^{11}+11 z^7 \text{QuantumGroups$\grave{ }$a}^{11}+8 z^5 \text{QuantumGroups$\grave{ }$a}^{11}-7 z^3 \text{QuantumGroups$\grave{ }$a}^{11}+z \text{QuantumGroups$\grave{ }$a}^{11}+15 z^{12} \text{QuantumGroups$\grave{ }$a}^{10}+14 z^{10} \text{QuantumGroups$\grave{ }$a}^{10}-91 z^8 \text{QuantumGroups$\grave{ }$a}^{10}+100 z^6 \text{QuantumGroups$\grave{ }$a}^{10}-45 z^4 \text{QuantumGroups$\grave{ }$a}^{10}+7 z^2 \text{QuantumGroups$\grave{ }$a}^{10}+4 z^{13} \text{QuantumGroups$\grave{ }$a}^9+50 z^{11} \text{QuantumGroups$\grave{ }$a}^9-125 z^9 \text{QuantumGroups$\grave{ }$a}^9+92 z^7 \text{QuantumGroups$\grave{ }$a}^9-18 z^5 \text{QuantumGroups$\grave{ }$a}^9-4 z^3 \text{QuantumGroups$\grave{ }$a}^9+2 z \text{QuantumGroups$\grave{ }$a}^9+30 z^{12} \text{QuantumGroups$\grave{ }$a}^8-12 z^{10} \text{QuantumGroups$\grave{ }$a}^8-103 z^8 \text{QuantumGroups$\grave{ }$a}^8+145 z^6 \text{QuantumGroups$\grave{ }$a}^8-75 z^4 \text{QuantumGroups$\grave{ }$a}^8+17 z^2 \text{QuantumGroups$\grave{ }$a}^8-\text{QuantumGroups$\grave{ }$a}^8+4 z^{13} \text{QuantumGroups$\grave{ }$a}^7+51 z^{11} \text{QuantumGroups$\grave{ }$a}^7-128 z^9 \text{QuantumGroups$\grave{ }$a}^7+90 z^7 \text{QuantumGroups$\grave{ }$a}^7-5 z^5 \text{QuantumGroups$\grave{ }$a}^7-14 z^3 \text{QuantumGroups$\grave{ }$a}^7+2 z \text{QuantumGroups$\grave{ }$a}^7+15 z^{12} \text{QuantumGroups$\grave{ }$a}^6+19 z^{10} \text{QuantumGroups$\grave{ }$a}^6-119 z^8 \text{QuantumGroups$\grave{ }$a}^6+156 z^6 \text{QuantumGroups$\grave{ }$a}^6-92 z^4 \text{QuantumGroups$\grave{ }$a}^6+21 z^2 \text{QuantumGroups$\grave{ }$a}^6+25 z^{11} \text{QuantumGroups$\grave{ }$a}^5-40 z^9 \text{QuantumGroups$\grave{ }$a}^5+10 z^7 \text{QuantumGroups$\grave{ }$a}^5+18 z^5 \text{QuantumGroups$\grave{ }$a}^5-15 z^3 \text{QuantumGroups$\grave{ }$a}^5+z \text{QuantumGroups$\grave{ }$a}^5+23 z^{10} \text{QuantumGroups$\grave{ }$a}^4-51 z^8 \text{QuantumGroups$\grave{ }$a}^4+51 z^6 \text{QuantumGroups$\grave{ }$a}^4-31 z^4 \text{QuantumGroups$\grave{ }$a}^4+6 z^2 \text{QuantumGroups$\grave{ }$a}^4+2 \text{QuantumGroups$\grave{ }$a}^4+13 z^9 \text{QuantumGroups$\grave{ }$a}^3-26 z^7 \text{QuantumGroups$\grave{ }$a}^3+18 z^5 \text{QuantumGroups$\grave{ }$a}^3-6 z^3 \text{QuantumGroups$\grave{ }$a}^3+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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