K14n13257

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n13257

Polynomial invariants

Jones polynomial	Data:K14n13257/Jones Polynomial
Alexander polynomial	$-t^{3}+10t^{2}-30t+43-30t^{-1}+10t^{-2}-t^{-3}$
Conway polynomial	Data:K14n13257/Conway Polynomial
Determinant	Data:K14n13257/Determinant
Signature	Data:K14n13257/Signature
HOMFLY-PT polynomial	$a^{2}z^{6}-z^{6}a^{-2}-z^{6}-a^{4}z^{4}+7a^{2}z^{4}-2z^{4}a^{-2}+z^{4}a^{-4}-z^{4}-4a^{4}z^{2}+9a^{2}z^{2}-4z^{2}a^{-2}+z^{2}a^{-4}-z^{2}-2a^{4}+4a^{2}-2a^{-2}+a^{-4}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle \text{QuantumGroups$\grave{ }$a} z^{11}+z^{11} $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^4 z^{10}+\text{QuantumGroups$\grave{ }$a}^2 z^{10}+5 z^{10} $Failed^{-1} +5 z^{10}+\text{QuantumGroups$\grave{ }$a}^5 z^9-\text{QuantumGroups$\grave{ }$a}^3 z^9-2 \text{QuantumGroups$\grave{ }$a} z^9+9 z^9 $Failed^{-1} +9 z^9 $Failed^{-1} -10 \text{QuantumGroups$\grave{ }$a}^4 z^8-8 \text{QuantumGroups$\grave{ }$a}^2 z^8-5 z^8 $Failed^{-1} +8 z^8 $Failed^{-1} -11 z^8-8 \text{QuantumGroups$\grave{ }$a}^5 z^7+\text{QuantumGroups$\grave{ }$a}^3 z^7+5 \text{QuantumGroups$\grave{ }$a} z^7-32 z^7 $Failed^{-1} -24 z^7 $Failed^{-1} +4 z^7 $Failed^{-1} +29 \text{QuantumGroups$\grave{ }$a}^4 z^6+33 \text{QuantumGroups$\grave{ }$a}^2 z^6-13 z^6 $Failed^{-1} -21 z^6 $Failed^{-1} +z^6 $Failed^{-1} +13 z^6+19 \text{QuantumGroups$\grave{ }$a}^5 z^5+13 \text{QuantumGroups$\grave{ }$a}^3 z^5+7 \text{QuantumGroups$\grave{ }$a} z^5+43 z^5 $Failed^{-1} +21 z^5 $Failed^{-1} -9 z^5 $Failed^{-1} -31 \text{QuantumGroups$\grave{ }$a}^4 z^4-39 \text{QuantumGroups$\grave{ }$a}^2 z^4+24 z^4 $Failed^{-1} +15 z^4 $Failed^{-1} -2 z^4 $Failed^{-1} -z^4-16 \text{QuantumGroups$\grave{ }$a}^5 z^3-17 \text{QuantumGroups$\grave{ }$a}^3 z^3-12 \text{QuantumGroups$\grave{ }$a} z^3-24 z^3 $Failed^{-1} -10 z^3 $Failed^{-1} +3 z^3 $Failed^{-1} +13 \text{QuantumGroups$\grave{ }$a}^4 z^2+19 \text{QuantumGroups$\grave{ }$a}^2 z^2-14 z^2 $Failed^{-1} -5 z^2 $Failed^{-1} -3 z^2+3 \text{QuantumGroups$\grave{ }$a}^5 z+5 \text{QuantumGroups$\grave{ }$a}^3 z+4 \text{QuantumGroups$\grave{ }$a} z+4 z $Failed^{-1} +2 z $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^4-4 \text{QuantumGroups$\grave{ }$a}^2+2 $Failed^{-1} + $Failed^{-1} }

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