K14a5860

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a5860

Polynomial invariants

Jones polynomial	Data:K14a5860/Jones Polynomial
Alexander polynomial	$2t^{4}-16t^{3}+53t^{2}-101t+125-101t^{-1}+53t^{-2}-16t^{-3}+2t^{-4}$
Conway polynomial	Data:K14a5860/Conway Polynomial
Determinant	Data:K14a5860/Determinant
Signature	Data:K14a5860/Signature
HOMFLY-PT polynomial	$z^{8}a^{-2}+z^{8}-3a^{2}z^{6}+3z^{6}a^{-2}-z^{6}a^{-4}+z^{6}+3a^{4}z^{4}-6a^{2}z^{4}+4z^{4}a^{-2}-2z^{4}a^{-4}-2z^{4}-a^{6}z^{2}+5a^{4}z^{2}-3a^{2}z^{2}+z^{2}a^{-2}-3z^{2}-a^{6}+2a^{4}-a^{-2}+a^{-4}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 \text{QuantumGroups$\grave{ }$a} z^{13}+2 z^{13} $Failed^{-1} +7 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+8 z^{12} $Failed^{-1} +15 z^{12}+11 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+22 \text{QuantumGroups$\grave{ }$a} z^{11}+25 z^{11} $Failed^{-1} +14 z^{11} $Failed^{-1} +11 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+4 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+5 z^{10} $Failed^{-1} +15 z^{10} $Failed^{-1} -17 z^{10}+8 \text{QuantumGroups$\grave{ }$a}^5 z^9-15 \text{QuantumGroups$\grave{ }$a}^3 z^9-66 \text{QuantumGroups$\grave{ }$a} z^9-79 z^9 $Failed^{-1} -25 z^9 $Failed^{-1} +11 z^9 $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^6 z^8-20 \text{QuantumGroups$\grave{ }$a}^4 z^8-35 \text{QuantumGroups$\grave{ }$a}^2 z^8-58 z^8 $Failed^{-1} -37 z^8 $Failed^{-1} +5 z^8 $Failed^{-1} -27 z^8+\text{QuantumGroups$\grave{ }$a}^7 z^7-18 \text{QuantumGroups$\grave{ }$a}^5 z^7-\text{QuantumGroups$\grave{ }$a}^3 z^7+80 \text{QuantumGroups$\grave{ }$a} z^7+90 z^7 $Failed^{-1} -3 z^7 $Failed^{-1} -30 z^7 $Failed^{-1} +z^7 $Failed^{-1} -11 \text{QuantumGroups$\grave{ }$a}^6 z^6+4 \text{QuantumGroups$\grave{ }$a}^4 z^6+42 \text{QuantumGroups$\grave{ }$a}^2 z^6+85 z^6 $Failed^{-1} +24 z^6 $Failed^{-1} -13 z^6 $Failed^{-1} +75 z^6-3 \text{QuantumGroups$\grave{ }$a}^7 z^5+10 \text{QuantumGroups$\grave{ }$a}^5 z^5+4 \text{QuantumGroups$\grave{ }$a}^3 z^5-46 \text{QuantumGroups$\grave{ }$a} z^5-31 z^5 $Failed^{-1} +31 z^5 $Failed^{-1} +23 z^5 $Failed^{-1} -2 z^5 $Failed^{-1} +10 \text{QuantumGroups$\grave{ }$a}^6 z^4+8 \text{QuantumGroups$\grave{ }$a}^4 z^4-23 \text{QuantumGroups$\grave{ }$a}^2 z^4-42 z^4 $Failed^{-1} -z^4 $Failed^{-1} +7 z^4 $Failed^{-1} -55 z^4+3 \text{QuantumGroups$\grave{ }$a}^7 z^3-\text{QuantumGroups$\grave{ }$a}^3 z^3+9 \text{QuantumGroups$\grave{ }$a} z^3-7 z^3 $Failed^{-1} -20 z^3 $Failed^{-1} -6 z^3 $Failed^{-1} -4 \text{QuantumGroups$\grave{ }$a}^6 z^2-7 \text{QuantumGroups$\grave{ }$a}^4 z^2+4 \text{QuantumGroups$\grave{ }$a}^2 z^2+3 z^2 $Failed^{-1} -3 z^2 $Failed^{-1} +13 z^2-\text{QuantumGroups$\grave{ }$a}^7 z-\text{QuantumGroups$\grave{ }$a}^5 z+\text{QuantumGroups$\grave{ }$a} z+4 z $Failed^{-1} +3 z $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^6+2 \text{QuantumGroups$\grave{ }$a}^4+ $Failed^{-1} + $Failed^{-1} }

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