K14n6290

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n6290

Polynomial invariants

Jones polynomial	Data:K14n6290/Jones Polynomial
Alexander polynomial	$2t^{4}-11t^{3}+29t^{2}-49t+59-49t^{-1}+29t^{-2}-11t^{-3}+2t^{-4}$
Conway polynomial	Data:K14n6290/Conway Polynomial
Determinant	Data:K14n6290/Determinant
Signature	Data:K14n6290/Signature
HOMFLY-PT polynomial	$2a^{2}z^{8}-3a^{4}z^{6}+10a^{2}z^{6}-2z^{6}+a^{6}z^{4}-11a^{4}z^{4}+18a^{2}z^{4}-5z^{4}+3a^{6}z^{2}-13a^{4}z^{2}+13a^{2}z^{2}-z^{2}a^{-2}-2z^{2}+2a^{6}-5a^{4}+3a^{2}-a^{-2}+2$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 3 \text{QuantumGroups$\grave{ }$a}^4 z^{12}+3 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+8 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+18 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+10 \text{QuantumGroups$\grave{ }$a} z^{11}+8 \text{QuantumGroups$\grave{ }$a}^6 z^{10}+12 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+15 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+11 z^{10}+4 \text{QuantumGroups$\grave{ }$a}^7 z^9-21 \text{QuantumGroups$\grave{ }$a}^5 z^9-60 \text{QuantumGroups$\grave{ }$a}^3 z^9-31 \text{QuantumGroups$\grave{ }$a} z^9+4 z^9 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^8 z^8-29 \text{QuantumGroups$\grave{ }$a}^6 z^8-80 \text{QuantumGroups$\grave{ }$a}^4 z^8-95 \text{QuantumGroups$\grave{ }$a}^2 z^8-45 z^8-15 \text{QuantumGroups$\grave{ }$a}^7 z^7+3 \text{QuantumGroups$\grave{ }$a}^5 z^7+57 \text{QuantumGroups$\grave{ }$a}^3 z^7+28 \text{QuantumGroups$\grave{ }$a} z^7-11 z^7 $Failed^{-1} -4 \text{QuantumGroups$\grave{ }$a}^8 z^6+33 \text{QuantumGroups$\grave{ }$a}^6 z^6+120 \text{QuantumGroups$\grave{ }$a}^4 z^6+159 \text{QuantumGroups$\grave{ }$a}^2 z^6+3 z^6 $Failed^{-1} +79 z^6+18 \text{QuantumGroups$\grave{ }$a}^7 z^5+11 \text{QuantumGroups$\grave{ }$a}^5 z^5-27 \text{QuantumGroups$\grave{ }$a}^3 z^5+20 z^5 $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^8 z^4-20 \text{QuantumGroups$\grave{ }$a}^6 z^4-92 \text{QuantumGroups$\grave{ }$a}^4 z^4-121 \text{QuantumGroups$\grave{ }$a}^2 z^4+z^4 $Failed^{-1} -53 z^4-9 \text{QuantumGroups$\grave{ }$a}^7 z^3-5 \text{QuantumGroups$\grave{ }$a}^5 z^3+11 \text{QuantumGroups$\grave{ }$a}^3 z^3-\text{QuantumGroups$\grave{ }$a} z^3-6 z^3 $Failed^{-1} +2 z^3 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^8 z^2+9 \text{QuantumGroups$\grave{ }$a}^6 z^2+37 \text{QuantumGroups$\grave{ }$a}^4 z^2+40 \text{QuantumGroups$\grave{ }$a}^2 z^2-2 z^2 $Failed^{-1} +12 z^2+2 \text{QuantumGroups$\grave{ }$a}^7 z+\text{QuantumGroups$\grave{ }$a}^5 z-4 \text{QuantumGroups$\grave{ }$a}^3 z-4 \text{QuantumGroups$\grave{ }$a} z-2 z $Failed^{-1} -z $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^6-5 \text{QuantumGroups$\grave{ }$a}^4-3 \text{QuantumGroups$\grave{ }$a}^2+ $Failed^{-1} +2}

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