K14n11136

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n11136

Polynomial invariants

Jones polynomial	Data:K14n11136/Jones Polynomial
Alexander polynomial	$-t^{5}+8t^{4}-26t^{3}+50t^{2}-73t+85-73t^{-1}+50t^{-2}-26t^{-3}+8t^{-4}-t^{-5}$
Conway polynomial	Data:K14n11136/Conway Polynomial
Determinant	Data:K14n11136/Determinant
Signature	Data:K14n11136/Signature
HOMFLY-PT polynomial	$-z^{10}+2a^{2}z^{8}+z^{8}a^{-2}-5z^{8}-a^{4}z^{6}+8a^{2}z^{6}+4z^{6}a^{-2}-8z^{6}-3a^{4}z^{4}+9a^{2}z^{4}+4z^{4}a^{-2}-z^{4}a^{-4}-5z^{4}-2a^{4}z^{2}+2a^{2}z^{2}-z^{2}a^{-4}-3z^{2}+a^{4}+a^{-4}-1$
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{ }$a}^4 z^{10}+33 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+15 z^{10} $Failed^{-1} +31 z^{10}+12 \text{QuantumGroups$\grave{ }$a}^5 z^9-6 \text{QuantumGroups$\grave{ }$a}^3 z^9-38 \text{QuantumGroups$\grave{ }$a} z^9-13 z^9 $Failed^{-1} +7 z^9 $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^6 z^8-35 \text{QuantumGroups$\grave{ }$a}^4 z^8-105 \text{QuantumGroups$\grave{ }$a}^2 z^8-29 z^8 $Failed^{-1} +z^8 $Failed^{-1} -95 z^8+\text{QuantumGroups$\grave{ }$a}^7 z^7-27 \text{QuantumGroups$\grave{ }$a}^5 z^7-42 \text{QuantumGroups$\grave{ }$a}^3 z^7-11 \text{QuantumGroups$\grave{ }$a} z^7+5 z^7 $Failed^{-1} +2 z^7 $Failed^{-1} -11 \text{QuantumGroups$\grave{ }$a}^6 z^6+20 \text{QuantumGroups$\grave{ }$a}^4 z^6+103 \text{QuantumGroups$\grave{ }$a}^2 z^6+49 z^6 $Failed^{-1} +12 z^6 $Failed^{-1} +109 z^6-2 \text{QuantumGroups$\grave{ }$a}^7 z^5+20 \text{QuantumGroups$\grave{ }$a}^5 z^5+47 \text{QuantumGroups$\grave{ }$a}^3 z^5+30 \text{QuantumGroups$\grave{ }$a} z^5-5 z^5 $Failed^{-1} -7 z^5 $Failed^{-1} +3 z^5 $Failed^{-1} +8 \text{QuantumGroups$\grave{ }$a}^6 z^4-6 \text{QuantumGroups$\grave{ }$a}^4 z^4-52 \text{QuantumGroups$\grave{ }$a}^2 z^4-46 z^4 $Failed^{-1} -16 z^4 $Failed^{-1} -68 z^4+\text{QuantumGroups$\grave{ }$a}^7 z^3-7 \text{QuantumGroups$\grave{ }$a}^5 z^3-19 \text{QuantumGroups$\grave{ }$a}^3 z^3-4 \text{QuantumGroups$\grave{ }$a} z^3+10 z^3 $Failed^{-1} +z^3 $Failed^{-1} -2 z^3 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^6 z^2-\text{QuantumGroups$\grave{ }$a}^4 z^2+13 \text{QuantumGroups$\grave{ }$a}^2 z^2+15 z^2 $Failed^{-1} +3 z^2 $Failed^{-1} +24 z^2+\text{QuantumGroups$\grave{ }$a}^5 z+2 \text{QuantumGroups$\grave{ }$a}^3 z-4 \text{QuantumGroups$\grave{ }$a} z-6 z $Failed^{-1} -z $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^4+ $Failed^{-1} -1}

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