K14a18256

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a18256

Polynomial invariants

Jones polynomial	Data:K14a18256/Jones Polynomial
Alexander polynomial	$-4t^{4}+24t^{3}-61t^{2}+94t-105+94t^{-1}-61t^{-2}+24t^{-3}-4t^{-4}$
Conway polynomial	Data:K14a18256/Conway Polynomial
Determinant	Data:K14a18256/Determinant
Signature	Data:K14a18256/Signature
HOMFLY-PT polynomial	$-a^{4}z^{8}-2a^{2}z^{8}-z^{8}+a^{6}z^{6}-3a^{4}z^{6}-6a^{2}z^{6}+z^{6}a^{-2}-z^{6}+3a^{6}z^{4}-3a^{4}z^{4}-2a^{2}z^{4}+z^{4}a^{-2}+4z^{4}+a^{6}z^{2}-4a^{4}z^{2}+5a^{2}z^{2}-2z^{2}a^{-2}+2z^{2}-2a^{4}+4a^{2}-1$
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 4 \text{QuantumGroups$\grave{ }$a}^3 z^{13}+4 \text{QuantumGroups$\grave{ }$a} z^{13}+11 \text{QuantumGroups$\grave{ }$a}^4 z^{12}+23 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+12 z^{12}+15 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+15 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+17 \text{QuantumGroups$\grave{ }$a} z^{11}+17 z^{11} $Failed^{-1} +15 \text{QuantumGroups$\grave{ }$a}^6 z^{10}-18 \text{QuantumGroups$\grave{ }$a}^4 z^{10}-67 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+14 z^{10} $Failed^{-1} -20 z^{10}+12 \text{QuantumGroups$\grave{ }$a}^7 z^9-34 \text{QuantumGroups$\grave{ }$a}^5 z^9-70 \text{QuantumGroups$\grave{ }$a}^3 z^9-78 \text{QuantumGroups$\grave{ }$a} z^9-48 z^9 $Failed^{-1} +6 z^9 $Failed^{-1} +8 \text{QuantumGroups$\grave{ }$a}^8 z^8-34 \text{QuantumGroups$\grave{ }$a}^6 z^8+2 \text{QuantumGroups$\grave{ }$a}^4 z^8+73 \text{QuantumGroups$\grave{ }$a}^2 z^8-44 z^8 $Failed^{-1} +z^8 $Failed^{-1} -16 z^8+4 \text{QuantumGroups$\grave{ }$a}^9 z^7-25 \text{QuantumGroups$\grave{ }$a}^7 z^7+30 \text{QuantumGroups$\grave{ }$a}^5 z^7+92 \text{QuantumGroups$\grave{ }$a}^3 z^7+77 \text{QuantumGroups$\grave{ }$a} z^7+27 z^7 $Failed^{-1} -17 z^7 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^{10} z^6-17 \text{QuantumGroups$\grave{ }$a}^8 z^6+31 \text{QuantumGroups$\grave{ }$a}^6 z^6+24 \text{QuantumGroups$\grave{ }$a}^4 z^6-45 \text{QuantumGroups$\grave{ }$a}^2 z^6+36 z^6 $Failed^{-1} -2 z^6 $Failed^{-1} +18 z^6-9 \text{QuantumGroups$\grave{ }$a}^9 z^5+17 \text{QuantumGroups$\grave{ }$a}^7 z^5+6 \text{QuantumGroups$\grave{ }$a}^5 z^5-39 \text{QuantumGroups$\grave{ }$a}^3 z^5-24 \text{QuantumGroups$\grave{ }$a} z^5+7 z^5 $Failed^{-1} +12 z^5 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^{10} z^4+10 \text{QuantumGroups$\grave{ }$a}^8 z^4-3 \text{QuantumGroups$\grave{ }$a}^6 z^4-18 \text{QuantumGroups$\grave{ }$a}^4 z^4+6 \text{QuantumGroups$\grave{ }$a}^2 z^4-3 z^4 $Failed^{-1} +z^4 $Failed^{-1} +5 z^4+4 \text{QuantumGroups$\grave{ }$a}^9 z^3-\text{QuantumGroups$\grave{ }$a}^7 z^3-14 \text{QuantumGroups$\grave{ }$a}^5 z^3-10 \text{QuantumGroups$\grave{ }$a}^3 z^3-8 \text{QuantumGroups$\grave{ }$a} z^3-7 z^3 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^8 z^2-4 \text{QuantumGroups$\grave{ }$a}^6 z^2+6 \text{QuantumGroups$\grave{ }$a}^4 z^2+10 \text{QuantumGroups$\grave{ }$a}^2 z^2-4 z^2 $Failed^{-1} -2 z^2+4 \text{QuantumGroups$\grave{ }$a}^5 z+8 \text{QuantumGroups$\grave{ }$a}^3 z+6 \text{QuantumGroups$\grave{ }$a} z+2 z $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^4-4 \text{QuantumGroups$\grave{ }$a}^2-1}

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