K14a12865

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a12865

Polynomial invariants

Jones polynomial	Data:K14a12865/Jones Polynomial
Alexander polynomial	$5t^{4}-23t^{3}+57t^{2}-93t+109-93t^{-1}+57t^{-2}-23t^{-3}+5t^{-4}$
Conway polynomial	Data:K14a12865/Conway Polynomial
Determinant	Data:K14a12865/Determinant
Signature	Data:K14a12865/Signature
HOMFLY-PT polynomial	$a^{4}z^{8}+3a^{2}z^{8}+z^{8}-a^{6}z^{6}+2a^{4}z^{6}+15a^{2}z^{6}-z^{6}a^{-2}+2z^{6}-3a^{6}z^{4}-2a^{4}z^{4}+30a^{2}z^{4}-3z^{4}a^{-2}-3z^{4}-3a^{6}z^{2}-7a^{4}z^{2}+30a^{2}z^{2}-2z^{2}a^{-2}-10z^{2}-a^{6}-5a^{4}+13a^{2}-6$
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 2 \text{QuantumGroups$\grave{ }$a}^5 z^{13}+2 \text{QuantumGroups$\grave{ }$a}^3 z^{13}+7 \text{QuantumGroups$\grave{ }$a}^6 z^{12}+17 \text{QuantumGroups$\grave{ }$a}^4 z^{12}+10 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+8 \text{QuantumGroups$\grave{ }$a}^7 z^{11}+24 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+38 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+22 \text{QuantumGroups$\grave{ }$a} z^{11}+4 \text{QuantumGroups$\grave{ }$a}^8 z^{10}-12 \text{QuantumGroups$\grave{ }$a}^6 z^{10}-20 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+25 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+29 z^{10}+\text{QuantumGroups$\grave{ }$a}^9 z^9-33 \text{QuantumGroups$\grave{ }$a}^7 z^9-114 \text{QuantumGroups$\grave{ }$a}^5 z^9-130 \text{QuantumGroups$\grave{ }$a}^3 z^9-24 \text{QuantumGroups$\grave{ }$a} z^9+26 z^9 $Failed^{-1} -18 \text{QuantumGroups$\grave{ }$a}^8 z^8-31 \text{QuantumGroups$\grave{ }$a}^6 z^8-92 \text{QuantumGroups$\grave{ }$a}^4 z^8-154 \text{QuantumGroups$\grave{ }$a}^2 z^8+18 z^8 $Failed^{-1} -57 z^8-5 \text{QuantumGroups$\grave{ }$a}^9 z^7+47 \text{QuantumGroups$\grave{ }$a}^7 z^7+155 \text{QuantumGroups$\grave{ }$a}^5 z^7+108 \text{QuantumGroups$\grave{ }$a}^3 z^7-51 \text{QuantumGroups$\grave{ }$a} z^7-46 z^7 $Failed^{-1} +10 z^7 $Failed^{-1} +29 \text{QuantumGroups$\grave{ }$a}^8 z^6+78 \text{QuantumGroups$\grave{ }$a}^6 z^6+182 \text{QuantumGroups$\grave{ }$a}^4 z^6+201 \text{QuantumGroups$\grave{ }$a}^2 z^6-25 z^6 $Failed^{-1} +4 z^6 $Failed^{-1} +39 z^6+9 \text{QuantumGroups$\grave{ }$a}^9 z^5-30 \text{QuantumGroups$\grave{ }$a}^7 z^5-92 \text{QuantumGroups$\grave{ }$a}^5 z^5-11 \text{QuantumGroups$\grave{ }$a}^3 z^5+88 \text{QuantumGroups$\grave{ }$a} z^5+34 z^5 $Failed^{-1} -11 z^5 $Failed^{-1} +z^5 $Failed^{-1} -20 \text{QuantumGroups$\grave{ }$a}^8 z^4-51 \text{QuantumGroups$\grave{ }$a}^6 z^4-120 \text{QuantumGroups$\grave{ }$a}^4 z^4-129 \text{QuantumGroups$\grave{ }$a}^2 z^4+17 z^4 $Failed^{-1} -3 z^4 $Failed^{-1} -20 z^4-7 \text{QuantumGroups$\grave{ }$a}^9 z^3+13 \text{QuantumGroups$\grave{ }$a}^7 z^3+34 \text{QuantumGroups$\grave{ }$a}^5 z^3-21 \text{QuantumGroups$\grave{ }$a}^3 z^3-55 \text{QuantumGroups$\grave{ }$a} z^3-12 z^3 $Failed^{-1} +7 z^3 $Failed^{-1} -z^3 $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^8 z^2+10 \text{QuantumGroups$\grave{ }$a}^6 z^2+37 \text{QuantumGroups$\grave{ }$a}^4 z^2+51 \text{QuantumGroups$\grave{ }$a}^2 z^2-4 z^2 $Failed^{-1} +15 z^2+2 \text{QuantumGroups$\grave{ }$a}^9 z-5 \text{QuantumGroups$\grave{ }$a}^7 z-7 \text{QuantumGroups$\grave{ }$a}^5 z+9 \text{QuantumGroups$\grave{ }$a}^3 z+15 \text{QuantumGroups$\grave{ }$a} z+4 z $Failed^{-1} -2 z $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^6-5 \text{QuantumGroups$\grave{ }$a}^4-13 \text{QuantumGroups$\grave{ }$a}^2-6}

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