K14a13903

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a13903

Polynomial invariants

Jones polynomial	Data:K14a13903/Jones Polynomial
Alexander polynomial	$5t^{4}-27t^{3}+74t^{2}-126t+149-126t^{-1}+74t^{-2}-27t^{-3}+5t^{-4}$
Conway polynomial	Data:K14a13903/Conway Polynomial
Determinant	Data:K14a13903/Determinant
Signature	Data:K14a13903/Signature
HOMFLY-PT polynomial	$-z^{6}a^{10}-z^{4}a^{10}+z^{2}a^{10}+a^{10}+z^{8}a^{8}-8z^{4}a^{8}-13z^{2}a^{8}-7a^{8}+3z^{8}a^{6}+13z^{6}a^{6}+24z^{4}a^{6}+23z^{2}a^{6}+9a^{6}+z^{8}a^{4}+2z^{6}a^{4}-2z^{2}a^{4}-2a^{4}-z^{6}a^{2}-3z^{4}a^{2}-2z^{2}a^{2}$
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}-z^5 \text{QuantumGroups$\grave{ }$a}^{15}+6 z^8 \text{QuantumGroups$\grave{ }$a}^{14}-9 z^6 \text{QuantumGroups$\grave{ }$a}^{14}+3 z^4 \text{QuantumGroups$\grave{ }$a}^{14}+17 z^9 \text{QuantumGroups$\grave{ }$a}^{13}-34 z^7 \text{QuantumGroups$\grave{ }$a}^{13}+20 z^5 \text{QuantumGroups$\grave{ }$a}^{13}-4 z^3 \text{QuantumGroups$\grave{ }$a}^{13}+z \text{QuantumGroups$\grave{ }$a}^{13}+27 z^{10} \text{QuantumGroups$\grave{ }$a}^{12}-56 z^8 \text{QuantumGroups$\grave{ }$a}^{12}+33 z^6 \text{QuantumGroups$\grave{ }$a}^{12}-9 z^4 \text{QuantumGroups$\grave{ }$a}^{12}+2 z^2 \text{QuantumGroups$\grave{ }$a}^{12}+26 z^{11} \text{QuantumGroups$\grave{ }$a}^{11}-39 z^9 \text{QuantumGroups$\grave{ }$a}^{11}-4 z^7 \text{QuantumGroups$\grave{ }$a}^{11}+15 z^5 \text{QuantumGroups$\grave{ }$a}^{11}-4 z^3 \text{QuantumGroups$\grave{ }$a}^{11}-z \text{QuantumGroups$\grave{ }$a}^{11}+15 z^{12} \text{QuantumGroups$\grave{ }$a}^{10}+8 z^{10} \text{QuantumGroups$\grave{ }$a}^{10}-75 z^8 \text{QuantumGroups$\grave{ }$a}^{10}+66 z^6 \text{QuantumGroups$\grave{ }$a}^{10}-25 z^4 \text{QuantumGroups$\grave{ }$a}^{10}+5 z^2 \text{QuantumGroups$\grave{ }$a}^{10}-\text{QuantumGroups$\grave{ }$a}^{10}+4 z^{13} \text{QuantumGroups$\grave{ }$a}^9+40 z^{11} \text{QuantumGroups$\grave{ }$a}^9-109 z^9 \text{QuantumGroups$\grave{ }$a}^9+88 z^7 \text{QuantumGroups$\grave{ }$a}^9-21 z^5 \text{QuantumGroups$\grave{ }$a}^9-8 z^3 \text{QuantumGroups$\grave{ }$a}^9+4 z \text{QuantumGroups$\grave{ }$a}^9+27 z^{12} \text{QuantumGroups$\grave{ }$a}^8-37 z^{10} \text{QuantumGroups$\grave{ }$a}^8-23 z^8 \text{QuantumGroups$\grave{ }$a}^8+81 z^6 \text{QuantumGroups$\grave{ }$a}^8-68 z^4 \text{QuantumGroups$\grave{ }$a}^8+33 z^2 \text{QuantumGroups$\grave{ }$a}^8-7 \text{QuantumGroups$\grave{ }$a}^8+4 z^{13} \text{QuantumGroups$\grave{ }$a}^7+31 z^{11} \text{QuantumGroups$\grave{ }$a}^7-99 z^9 \text{QuantumGroups$\grave{ }$a}^7+108 z^7 \text{QuantumGroups$\grave{ }$a}^7-26 z^5 \text{QuantumGroups$\grave{ }$a}^7-19 z^3 \text{QuantumGroups$\grave{ }$a}^7+10 z \text{QuantumGroups$\grave{ }$a}^7+12 z^{12} \text{QuantumGroups$\grave{ }$a}^6-3 z^{10} \text{QuantumGroups$\grave{ }$a}^6-54 z^8 \text{QuantumGroups$\grave{ }$a}^6+114 z^6 \text{QuantumGroups$\grave{ }$a}^6-93 z^4 \text{QuantumGroups$\grave{ }$a}^6+41 z^2 \text{QuantumGroups$\grave{ }$a}^6-9 \text{QuantumGroups$\grave{ }$a}^6+17 z^{11} \text{QuantumGroups$\grave{ }$a}^5-37 z^9 \text{QuantumGroups$\grave{ }$a}^5+27 z^7 \text{QuantumGroups$\grave{ }$a}^5+11 z^5 \text{QuantumGroups$\grave{ }$a}^5-22 z^3 \text{QuantumGroups$\grave{ }$a}^5+6 z \text{QuantumGroups$\grave{ }$a}^5+15 z^{10} \text{QuantumGroups$\grave{ }$a}^4-40 z^8 \text{QuantumGroups$\grave{ }$a}^4+46 z^6 \text{QuantumGroups$\grave{ }$a}^4-30 z^4 \text{QuantumGroups$\grave{ }$a}^4+9 z^2 \text{QuantumGroups$\grave{ }$a}^4-2 \text{QuantumGroups$\grave{ }$a}^4+9 z^9 \text{QuantumGroups$\grave{ }$a}^3-23 z^7 \text{QuantumGroups$\grave{ }$a}^3+19 z^5 \text{QuantumGroups$\grave{ }$a}^3-9 z^3 \text{QuantumGroups$\grave{ }$a}^3+2 z \text{QuantumGroups$\grave{ }$a}^3+4 z^8 \text{QuantumGroups$\grave{ }$a}^2-11 z^6 \text{QuantumGroups$\grave{ }$a}^2+8 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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