K14a6766

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a6766

Polynomial invariants

Jones polynomial	Data:K14a6766/Jones Polynomial
Alexander polynomial	$9t^{3}-45t^{2}+106t-139+106t^{-1}-45t^{-2}+9t^{-3}$
Conway polynomial	Data:K14a6766/Conway Polynomial
Determinant	Data:K14a6766/Determinant
Signature	Data:K14a6766/Signature
HOMFLY-PT polynomial	$-z^{4}a^{10}-z^{2}a^{10}+z^{6}a^{8}-z^{4}a^{8}-4z^{2}a^{8}-4a^{8}+4z^{6}a^{6}+10z^{4}a^{6}+13z^{2}a^{6}+6a^{6}+3z^{6}a^{4}+3z^{4}a^{4}-a^{4}+z^{6}a^{2}-z^{4}a^{2}-z^{2}a^{2}-z^{4}$
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^9 \text{QuantumGroups$\grave{ }$a}^{13}-5 z^7 \text{QuantumGroups$\grave{ }$a}^{13}+9 z^5 \text{QuantumGroups$\grave{ }$a}^{13}-7 z^3 \text{QuantumGroups$\grave{ }$a}^{13}+2 z \text{QuantumGroups$\grave{ }$a}^{13}+4 z^{10} \text{QuantumGroups$\grave{ }$a}^{12}-19 z^8 \text{QuantumGroups$\grave{ }$a}^{12}+32 z^6 \text{QuantumGroups$\grave{ }$a}^{12}-23 z^4 \text{QuantumGroups$\grave{ }$a}^{12}+6 z^2 \text{QuantumGroups$\grave{ }$a}^{12}+7 z^{11} \text{QuantumGroups$\grave{ }$a}^{11}-28 z^9 \text{QuantumGroups$\grave{ }$a}^{11}+34 z^7 \text{QuantumGroups$\grave{ }$a}^{11}-11 z^5 \text{QuantumGroups$\grave{ }$a}^{11}-3 z^3 \text{QuantumGroups$\grave{ }$a}^{11}+z \text{QuantumGroups$\grave{ }$a}^{11}+6 z^{12} \text{QuantumGroups$\grave{ }$a}^{10}-9 z^{10} \text{QuantumGroups$\grave{ }$a}^{10}-35 z^8 \text{QuantumGroups$\grave{ }$a}^{10}+83 z^6 \text{QuantumGroups$\grave{ }$a}^{10}-57 z^4 \text{QuantumGroups$\grave{ }$a}^{10}+12 z^2 \text{QuantumGroups$\grave{ }$a}^{10}+2 z^{13} \text{QuantumGroups$\grave{ }$a}^9+19 z^{11} \text{QuantumGroups$\grave{ }$a}^9-92 z^9 \text{QuantumGroups$\grave{ }$a}^9+112 z^7 \text{QuantumGroups$\grave{ }$a}^9-37 z^5 \text{QuantumGroups$\grave{ }$a}^9-9 z^3 \text{QuantumGroups$\grave{ }$a}^9+6 z \text{QuantumGroups$\grave{ }$a}^9+16 z^{12} \text{QuantumGroups$\grave{ }$a}^8-22 z^{10} \text{QuantumGroups$\grave{ }$a}^8-78 z^8 \text{QuantumGroups$\grave{ }$a}^8+166 z^6 \text{QuantumGroups$\grave{ }$a}^8-107 z^4 \text{QuantumGroups$\grave{ }$a}^8+29 z^2 \text{QuantumGroups$\grave{ }$a}^8-4 \text{QuantumGroups$\grave{ }$a}^8+2 z^{13} \text{QuantumGroups$\grave{ }$a}^7+35 z^{11} \text{QuantumGroups$\grave{ }$a}^7-120 z^9 \text{QuantumGroups$\grave{ }$a}^7+91 z^7 \text{QuantumGroups$\grave{ }$a}^7+17 z^5 \text{QuantumGroups$\grave{ }$a}^7-38 z^3 \text{QuantumGroups$\grave{ }$a}^7+12 z \text{QuantumGroups$\grave{ }$a}^7+10 z^{12} \text{QuantumGroups$\grave{ }$a}^6+23 z^{10} \text{QuantumGroups$\grave{ }$a}^6-144 z^8 \text{QuantumGroups$\grave{ }$a}^6+177 z^6 \text{QuantumGroups$\grave{ }$a}^6-91 z^4 \text{QuantumGroups$\grave{ }$a}^6+27 z^2 \text{QuantumGroups$\grave{ }$a}^6-6 \text{QuantumGroups$\grave{ }$a}^6+23 z^{11} \text{QuantumGroups$\grave{ }$a}^5-26 z^9 \text{QuantumGroups$\grave{ }$a}^5-46 z^7 \text{QuantumGroups$\grave{ }$a}^5+72 z^5 \text{QuantumGroups$\grave{ }$a}^5-34 z^3 \text{QuantumGroups$\grave{ }$a}^5+7 z \text{QuantumGroups$\grave{ }$a}^5+32 z^{10} \text{QuantumGroups$\grave{ }$a}^4-59 z^8 \text{QuantumGroups$\grave{ }$a}^4+28 z^6 \text{QuantumGroups$\grave{ }$a}^4-5 z^4 \text{QuantumGroups$\grave{ }$a}^4+2 z^2 \text{QuantumGroups$\grave{ }$a}^4-\text{QuantumGroups$\grave{ }$a}^4+31 z^9 \text{QuantumGroups$\grave{ }$a}^3-51 z^7 \text{QuantumGroups$\grave{ }$a}^3+26 z^5 \text{QuantumGroups$\grave{ }$a}^3-7 z^3 \text{QuantumGroups$\grave{ }$a}^3+2 z \text{QuantumGroups$\grave{ }$a}^3+23 z^8 \text{QuantumGroups$\grave{ }$a}^2-29 z^6 \text{QuantumGroups$\grave{ }$a}^2+11 z^4 \text{QuantumGroups$\grave{ }$a}^2-2 z^2 \text{QuantumGroups$\grave{ }$a}^2+13 z^7 \text{QuantumGroups$\grave{ }$a}-11 z^5 \text{QuantumGroups$\grave{ }$a}+2 z^3 \text{QuantumGroups$\grave{ }$a}+5 z^6-2 z^4+z^5 $Failed^{-1} }

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