K14a5633

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a5633

Polynomial invariants

Jones polynomial	Data:K14a5633/Jones Polynomial
Alexander polynomial	$t^{5}-8t^{4}+28t^{3}-61t^{2}+95t-109+95t^{-1}-61t^{-2}+28t^{-3}-8t^{-4}+t^{-5}$
Conway polynomial	Data:K14a5633/Conway Polynomial
Determinant	Data:K14a5633/Determinant
Signature	Data:K14a5633/Signature
HOMFLY-PT polynomial	$a^{2}z^{10}-2a^{4}z^{8}+6a^{2}z^{8}-2z^{8}+a^{6}z^{6}-10a^{4}z^{6}+16a^{2}z^{6}+z^{6}a^{-2}-9z^{6}+4a^{6}z^{4}-19a^{4}z^{4}+24a^{2}z^{4}+3z^{4}a^{-2}-15z^{4}+5a^{6}z^{2}-16a^{4}z^{2}+21a^{2}z^{2}+3z^{2}a^{-2}-13z^{2}+a^{6}-5a^{4}+9a^{2}+2a^{-2}-6$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 \text{QuantumGroups$\grave{ }$a}^3 z^{13}+2 \text{QuantumGroups$\grave{ }$a} z^{13}+8 \text{QuantumGroups$\grave{ }$a}^4 z^{12}+16 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+8 z^{12}+15 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+30 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+28 \text{QuantumGroups$\grave{ }$a} z^{11}+13 z^{11} $Failed^{-1} +18 \text{QuantumGroups$\grave{ }$a}^6 z^{10}+18 \text{QuantumGroups$\grave{ }$a}^4 z^{10}-7 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+11 z^{10} $Failed^{-1} +4 z^{10}+15 \text{QuantumGroups$\grave{ }$a}^7 z^9-11 \text{QuantumGroups$\grave{ }$a}^5 z^9-80 \text{QuantumGroups$\grave{ }$a}^3 z^9-91 \text{QuantumGroups$\grave{ }$a} z^9-32 z^9 $Failed^{-1} +5 z^9 $Failed^{-1} +9 \text{QuantumGroups$\grave{ }$a}^8 z^8-30 \text{QuantumGroups$\grave{ }$a}^6 z^8-85 \text{QuantumGroups$\grave{ }$a}^4 z^8-83 \text{QuantumGroups$\grave{ }$a}^2 z^8-35 z^8 $Failed^{-1} +z^8 $Failed^{-1} -73 z^8+4 \text{QuantumGroups$\grave{ }$a}^9 z^7-26 \text{QuantumGroups$\grave{ }$a}^7 z^7-24 \text{QuantumGroups$\grave{ }$a}^5 z^7+60 \text{QuantumGroups$\grave{ }$a}^3 z^7+80 \text{QuantumGroups$\grave{ }$a} z^7+10 z^7 $Failed^{-1} -16 z^7 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^{10} z^6-14 \text{QuantumGroups$\grave{ }$a}^8 z^6+25 \text{QuantumGroups$\grave{ }$a}^6 z^6+118 \text{QuantumGroups$\grave{ }$a}^4 z^6+146 \text{QuantumGroups$\grave{ }$a}^2 z^6+34 z^6 $Failed^{-1} -3 z^6 $Failed^{-1} +105 z^6-7 \text{QuantumGroups$\grave{ }$a}^9 z^5+21 \text{QuantumGroups$\grave{ }$a}^7 z^5+46 \text{QuantumGroups$\grave{ }$a}^5 z^5-2 \text{QuantumGroups$\grave{ }$a}^3 z^5-21 \text{QuantumGroups$\grave{ }$a} z^5+15 z^5 $Failed^{-1} +16 z^5 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^{10} z^4+7 \text{QuantumGroups$\grave{ }$a}^8 z^4-15 \text{QuantumGroups$\grave{ }$a}^6 z^4-88 \text{QuantumGroups$\grave{ }$a}^4 z^4-116 \text{QuantumGroups$\grave{ }$a}^2 z^4-14 z^4 $Failed^{-1} +3 z^4 $Failed^{-1} -69 z^4+4 \text{QuantumGroups$\grave{ }$a}^9 z^3-8 \text{QuantumGroups$\grave{ }$a}^7 z^3-26 \text{QuantumGroups$\grave{ }$a}^5 z^3-16 \text{QuantumGroups$\grave{ }$a}^3 z^3-4 \text{QuantumGroups$\grave{ }$a} z^3-8 z^3 $Failed^{-1} -6 z^3 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^{10} z^2-\text{QuantumGroups$\grave{ }$a}^8 z^2+8 \text{QuantumGroups$\grave{ }$a}^6 z^2+38 \text{QuantumGroups$\grave{ }$a}^4 z^2+50 \text{QuantumGroups$\grave{ }$a}^2 z^2+6 z^2 $Failed^{-1} -z^2 $Failed^{-1} +29 z^2-\text{QuantumGroups$\grave{ }$a}^9 z-\text{QuantumGroups$\grave{ }$a}^7 z+3 \text{QuantumGroups$\grave{ }$a}^5 z+4 \text{QuantumGroups$\grave{ }$a}^3 z+\text{QuantumGroups$\grave{ }$a} z+z $Failed^{-1} +z $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^6-5 \text{QuantumGroups$\grave{ }$a}^4-9 \text{QuantumGroups$\grave{ }$a}^2-2 $Failed^{-1} -6}

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