K14a13060

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a13060

Polynomial invariants

Jones polynomial	Data:K14a13060/Jones Polynomial
Alexander polynomial	$-t^{5}+9t^{4}-36t^{3}+86t^{2}-139t+163-139t^{-1}+86t^{-2}-36t^{-3}+9t^{-4}-t^{-5}$
Conway polynomial	Data:K14a13060/Conway Polynomial
Determinant	Data:K14a13060/Determinant
Signature	Data:K14a13060/Signature
HOMFLY-PT polynomial	$-z^{10}+3a^{2}z^{8}+z^{8}a^{-2}-5z^{8}-3a^{4}z^{6}+11a^{2}z^{6}+3z^{6}a^{-2}-10z^{6}+a^{6}z^{4}-8a^{4}z^{4}+11a^{2}z^{4}+2z^{4}a^{-2}-6z^{4}+2a^{6}z^{2}-4a^{4}z^{2}-2a^{2}z^{2}-2z^{2}a^{-2}+6z^{2}+2a^{4}-6a^{2}-2a^{-2}+7$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 5 \text{QuantumGroups$\grave{ }$a}^3 z^{13}+5 \text{QuantumGroups$\grave{ }$a} z^{13}+16 \text{QuantumGroups$\grave{ }$a}^4 z^{12}+38 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+22 z^{12}+20 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+49 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+70 \text{QuantumGroups$\grave{ }$a} z^{11}+41 z^{11} $Failed^{-1} +13 \text{QuantumGroups$\grave{ }$a}^6 z^{10}-14 \text{QuantumGroups$\grave{ }$a}^4 z^{10}-51 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+44 z^{10} $Failed^{-1} +20 z^{10}+5 \text{QuantumGroups$\grave{ }$a}^7 z^9-59 \text{QuantumGroups$\grave{ }$a}^5 z^9-195 \text{QuantumGroups$\grave{ }$a}^3 z^9-227 \text{QuantumGroups$\grave{ }$a} z^9-64 z^9 $Failed^{-1} +32 z^9 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^8 z^8-41 \text{QuantumGroups$\grave{ }$a}^6 z^8-69 \text{QuantumGroups$\grave{ }$a}^4 z^8-93 \text{QuantumGroups$\grave{ }$a}^2 z^8-78 z^8 $Failed^{-1} +17 z^8 $Failed^{-1} -161 z^8-15 \text{QuantumGroups$\grave{ }$a}^7 z^7+64 \text{QuantumGroups$\grave{ }$a}^5 z^7+250 \text{QuantumGroups$\grave{ }$a}^3 z^7+239 \text{QuantumGroups$\grave{ }$a} z^7+17 z^7 $Failed^{-1} -45 z^7 $Failed^{-1} +6 z^7 $Failed^{-1} -3 \text{QuantumGroups$\grave{ }$a}^8 z^6+47 \text{QuantumGroups$\grave{ }$a}^6 z^6+133 \text{QuantumGroups$\grave{ }$a}^4 z^6+204 \text{QuantumGroups$\grave{ }$a}^2 z^6+46 z^6 $Failed^{-1} -18 z^6 $Failed^{-1} +z^6 $Failed^{-1} +186 z^6+13 \text{QuantumGroups$\grave{ }$a}^7 z^5-41 \text{QuantumGroups$\grave{ }$a}^5 z^5-150 \text{QuantumGroups$\grave{ }$a}^3 z^5-110 \text{QuantumGroups$\grave{ }$a} z^5+4 z^5 $Failed^{-1} +14 z^5 $Failed^{-1} -4 z^5 $Failed^{-1} +2 \text{QuantumGroups$\grave{ }$a}^8 z^4-30 \text{QuantumGroups$\grave{ }$a}^6 z^4-92 \text{QuantumGroups$\grave{ }$a}^4 z^4-112 \text{QuantumGroups$\grave{ }$a}^2 z^4-7 z^4 $Failed^{-1} +3 z^4 $Failed^{-1} -62 z^4-4 \text{QuantumGroups$\grave{ }$a}^7 z^3+15 \text{QuantumGroups$\grave{ }$a}^5 z^3+45 \text{QuantumGroups$\grave{ }$a}^3 z^3+33 \text{QuantumGroups$\grave{ }$a} z^3+10 z^3 $Failed^{-1} +3 z^3 $Failed^{-1} +9 \text{QuantumGroups$\grave{ }$a}^6 z^2+19 \text{QuantumGroups$\grave{ }$a}^4 z^2+7 \text{QuantumGroups$\grave{ }$a}^2 z^2-6 z^2 $Failed^{-1} -9 z^2-3 \text{QuantumGroups$\grave{ }$a}^5 z-7 \text{QuantumGroups$\grave{ }$a}^3 z-7 \text{QuantumGroups$\grave{ }$a} z-5 z $Failed^{-1} -2 z $Failed^{-1} +2 \text{QuantumGroups$\grave{ }$a}^4+6 \text{QuantumGroups$\grave{ }$a}^2+2 $Failed^{-1} +7}

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