K14a5830

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a5830

Polynomial invariants

Jones polynomial	Data:K14a5830/Jones Polynomial
Alexander polynomial	$-2t^{4}+13t^{3}-37t^{2}+66t-79+66t^{-1}-37t^{-2}+13t^{-3}-2t^{-4}$
Conway polynomial	Data:K14a5830/Conway Polynomial
Determinant	Data:K14a5830/Determinant
Signature	Data:K14a5830/Signature
HOMFLY-PT polynomial	$-z^{4}a^{8}-2z^{2}a^{8}-a^{8}+2z^{6}a^{6}+6z^{4}a^{6}+6z^{2}a^{6}+2a^{6}-z^{8}a^{4}-3z^{6}a^{4}-3z^{4}a^{4}-z^{2}a^{4}-a^{4}-z^{8}a^{2}-4z^{6}a^{2}-8z^{4}a^{2}-8z^{2}a^{2}-2a^{2}+2z^{6}+8z^{4}+11z^{2}+5-z^{4}a^{-2}-3z^{2}a^{-2}-2a^{-2}$
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 \text{QuantumGroups$\grave{ }$a}^5 z^{13}+\text{QuantumGroups$\grave{ }$a}^3 z^{13}+4 \text{QuantumGroups$\grave{ }$a}^6 z^{12}+7 \text{QuantumGroups$\grave{ }$a}^4 z^{12}+3 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+8 \text{QuantumGroups$\grave{ }$a}^7 z^{11}+11 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+7 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+4 \text{QuantumGroups$\grave{ }$a} z^{11}+10 \text{QuantumGroups$\grave{ }$a}^8 z^{10}+3 \text{QuantumGroups$\grave{ }$a}^6 z^{10}-14 \text{QuantumGroups$\grave{ }$a}^4 z^{10}-3 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+4 z^{10}+8 \text{QuantumGroups$\grave{ }$a}^9 z^9-15 \text{QuantumGroups$\grave{ }$a}^7 z^9-38 \text{QuantumGroups$\grave{ }$a}^5 z^9-24 \text{QuantumGroups$\grave{ }$a}^3 z^9-5 \text{QuantumGroups$\grave{ }$a} z^9+4 z^9 $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^{10} z^8-28 \text{QuantumGroups$\grave{ }$a}^8 z^8-33 \text{QuantumGroups$\grave{ }$a}^6 z^8+13 \text{QuantumGroups$\grave{ }$a}^4 z^8+8 \text{QuantumGroups$\grave{ }$a}^2 z^8+3 z^8 $Failed^{-1} -3 z^8+\text{QuantumGroups$\grave{ }$a}^{11} z^7-24 \text{QuantumGroups$\grave{ }$a}^9 z^7-2 \text{QuantumGroups$\grave{ }$a}^7 z^7+57 \text{QuantumGroups$\grave{ }$a}^5 z^7+48 \text{QuantumGroups$\grave{ }$a}^3 z^7+4 \text{QuantumGroups$\grave{ }$a} z^7-9 z^7 $Failed^{-1} +z^7 $Failed^{-1} -12 \text{QuantumGroups$\grave{ }$a}^{10} z^6+24 \text{QuantumGroups$\grave{ }$a}^8 z^6+52 \text{QuantumGroups$\grave{ }$a}^6 z^6+2 \text{QuantumGroups$\grave{ }$a}^4 z^6-19 \text{QuantumGroups$\grave{ }$a}^2 z^6-11 z^6 $Failed^{-1} -16 z^6-3 \text{QuantumGroups$\grave{ }$a}^{11} z^5+21 \text{QuantumGroups$\grave{ }$a}^9 z^5+16 \text{QuantumGroups$\grave{ }$a}^7 z^5-45 \text{QuantumGroups$\grave{ }$a}^5 z^5-53 \text{QuantumGroups$\grave{ }$a}^3 z^5-12 \text{QuantumGroups$\grave{ }$a} z^5-4 z^5 $Failed^{-1} +9 \text{QuantumGroups$\grave{ }$a}^{10} z^4-12 \text{QuantumGroups$\grave{ }$a}^8 z^4-34 \text{QuantumGroups$\grave{ }$a}^6 z^4-6 \text{QuantumGroups$\grave{ }$a}^4 z^4+21 \text{QuantumGroups$\grave{ }$a}^2 z^4+13 z^4 $Failed^{-1} +27 z^4+2 \text{QuantumGroups$\grave{ }$a}^{11} z^3-10 \text{QuantumGroups$\grave{ }$a}^9 z^3-10 \text{QuantumGroups$\grave{ }$a}^7 z^3+25 \text{QuantumGroups$\grave{ }$a}^5 z^3+30 \text{QuantumGroups$\grave{ }$a}^3 z^3+11 \text{QuantumGroups$\grave{ }$a} z^3+9 z^3 $Failed^{-1} +5 z^3 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^{10} z^2+3 \text{QuantumGroups$\grave{ }$a}^8 z^2+12 \text{QuantumGroups$\grave{ }$a}^6 z^2+4 \text{QuantumGroups$\grave{ }$a}^4 z^2-15 \text{QuantumGroups$\grave{ }$a}^2 z^2-6 z^2 $Failed^{-1} -18 z^2+2 \text{QuantumGroups$\grave{ }$a}^9 z+\text{QuantumGroups$\grave{ }$a}^7 z-4 \text{QuantumGroups$\grave{ }$a}^5 z-6 \text{QuantumGroups$\grave{ }$a}^3 z-5 \text{QuantumGroups$\grave{ }$a} z-4 z $Failed^{-1} -2 z $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^8-2 \text{QuantumGroups$\grave{ }$a}^6-\text{QuantumGroups$\grave{ }$a}^4+2 \text{QuantumGroups$\grave{ }$a}^2+2 $Failed^{-1} +5}

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