K14n18325

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n18325

Polynomial invariants

Jones polynomial	Data:K14n18325/Jones Polynomial
Alexander polynomial	$t^{4}-10t^{3}+42t^{2}-95t+125-95t^{-1}+42t^{-2}-10t^{-3}+t^{-4}$
Conway polynomial	Data:K14n18325/Conway Polynomial
Determinant	Data:K14n18325/Determinant
Signature	Data:K14n18325/Signature
HOMFLY-PT polynomial	$z^{8}-3a^{2}z^{6}-z^{6}a^{-2}+2z^{6}+3a^{4}z^{4}-4a^{2}z^{4}+z^{4}a^{-2}+2z^{4}-a^{6}z^{2}+2a^{4}z^{2}-a^{2}z^{2}+2z^{2}a^{-2}-z^{2}a^{-4}-2z^{2}+a^{2}+a^{-2}-1$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 4 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+4 z^{12}+13 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+26 \text{QuantumGroups$\grave{ }$a} z^{11}+13 z^{11} $Failed^{-1} +17 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+35 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+15 z^{10} $Failed^{-1} +33 z^{10}+12 \text{QuantumGroups$\grave{ }$a}^5 z^9-2 \text{QuantumGroups$\grave{ }$a}^3 z^9-26 \text{QuantumGroups$\grave{ }$a} z^9-5 z^9 $Failed^{-1} +7 z^9 $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^6 z^8-33 \text{QuantumGroups$\grave{ }$a}^4 z^8-97 \text{QuantumGroups$\grave{ }$a}^2 z^8-19 z^8 $Failed^{-1} +z^8 $Failed^{-1} -79 z^8+\text{QuantumGroups$\grave{ }$a}^7 z^7-27 \text{QuantumGroups$\grave{ }$a}^5 z^7-49 \text{QuantumGroups$\grave{ }$a}^3 z^7-32 \text{QuantumGroups$\grave{ }$a} z^7-5 z^7 $Failed^{-1} +6 z^7 $Failed^{-1} -11 \text{QuantumGroups$\grave{ }$a}^6 z^6+17 \text{QuantumGroups$\grave{ }$a}^4 z^6+75 \text{QuantumGroups$\grave{ }$a}^2 z^6+27 z^6 $Failed^{-1} +12 z^6 $Failed^{-1} +62 z^6-2 \text{QuantumGroups$\grave{ }$a}^7 z^5+22 \text{QuantumGroups$\grave{ }$a}^5 z^5+54 \text{QuantumGroups$\grave{ }$a}^3 z^5+36 \text{QuantumGroups$\grave{ }$a} z^5-6 z^5 $Failed^{-1} -9 z^5 $Failed^{-1} +3 z^5 $Failed^{-1} +8 \text{QuantumGroups$\grave{ }$a}^6 z^4-28 \text{QuantumGroups$\grave{ }$a}^2 z^4-26 z^4 $Failed^{-1} -12 z^4 $Failed^{-1} -34 z^4+\text{QuantumGroups$\grave{ }$a}^7 z^3-8 \text{QuantumGroups$\grave{ }$a}^5 z^3-21 \text{QuantumGroups$\grave{ }$a}^3 z^3-12 \text{QuantumGroups$\grave{ }$a} z^3+4 z^3 $Failed^{-1} +2 z^3 $Failed^{-1} -2 z^3 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^6 z^2-\text{QuantumGroups$\grave{ }$a}^4 z^2+7 \text{QuantumGroups$\grave{ }$a}^2 z^2+9 z^2 $Failed^{-1} +3 z^2 $Failed^{-1} +12 z^2+\text{QuantumGroups$\grave{ }$a}^5 z+3 \text{QuantumGroups$\grave{ }$a}^3 z+2 \text{QuantumGroups$\grave{ }$a} z-\text{QuantumGroups$\grave{ }$a}^2- $Failed^{-1} -1}

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