K14a334

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a334

Polynomial invariants

Jones polynomial	Data:K14a334/Jones Polynomial
Alexander polynomial	$-3t^{3}+19t^{2}-50t+69-50t^{-1}+19t^{-2}-3t^{-3}$
Conway polynomial	Data:K14a334/Conway Polynomial
Determinant	Data:K14a334/Determinant
Signature	Data:K14a334/Signature
HOMFLY-PT polynomial	$a^{10}-3z^{2}a^{8}-3a^{8}+3z^{4}a^{6}+5z^{2}a^{6}+3a^{6}-z^{6}a^{4}-z^{4}a^{4}-2z^{2}a^{4}-a^{4}-z^{6}a^{2}+z^{2}a^{2}+a^{2}-z^{6}-2z^{4}-3z^{2}-1+z^{4}a^{-2}+z^{2}a^{-2}+a^{-2}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle \text{QuantumGroups$\grave{ }$a}^7 z^{13}+\text{QuantumGroups$\grave{ }$a}^5 z^{13}+3 \text{QuantumGroups$\grave{ }$a}^8 z^{12}+8 \text{QuantumGroups$\grave{ }$a}^6 z^{12}+5 \text{QuantumGroups$\grave{ }$a}^4 z^{12}+3 \text{QuantumGroups$\grave{ }$a}^9 z^{11}+6 \text{QuantumGroups$\grave{ }$a}^7 z^{11}+13 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+10 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+\text{QuantumGroups$\grave{ }$a}^{10} z^{10}-15 \text{QuantumGroups$\grave{ }$a}^8 z^{10}-36 \text{QuantumGroups$\grave{ }$a}^6 z^{10}-7 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+13 \text{QuantumGroups$\grave{ }$a}^2 z^{10}-21 \text{QuantumGroups$\grave{ }$a}^9 z^9-66 \text{QuantumGroups$\grave{ }$a}^7 z^9-90 \text{QuantumGroups$\grave{ }$a}^5 z^9-31 \text{QuantumGroups$\grave{ }$a}^3 z^9+14 \text{QuantumGroups$\grave{ }$a} z^9-7 \text{QuantumGroups$\grave{ }$a}^{10} z^8+13 \text{QuantumGroups$\grave{ }$a}^8 z^8+27 \text{QuantumGroups$\grave{ }$a}^6 z^8-42 \text{QuantumGroups$\grave{ }$a}^4 z^8-35 \text{QuantumGroups$\grave{ }$a}^2 z^8+14 z^8+52 \text{QuantumGroups$\grave{ }$a}^9 z^7+166 \text{QuantumGroups$\grave{ }$a}^7 z^7+173 \text{QuantumGroups$\grave{ }$a}^5 z^7+20 \text{QuantumGroups$\grave{ }$a}^3 z^7-26 \text{QuantumGroups$\grave{ }$a} z^7+13 z^7 $Failed^{-1} +17 \text{QuantumGroups$\grave{ }$a}^{10} z^6+29 \text{QuantumGroups$\grave{ }$a}^8 z^6+53 \text{QuantumGroups$\grave{ }$a}^6 z^6+92 \text{QuantumGroups$\grave{ }$a}^4 z^6+24 \text{QuantumGroups$\grave{ }$a}^2 z^6+9 z^6 $Failed^{-1} -18 z^6-58 \text{QuantumGroups$\grave{ }$a}^9 z^5-171 \text{QuantumGroups$\grave{ }$a}^7 z^5-141 \text{QuantumGroups$\grave{ }$a}^5 z^5-4 \text{QuantumGroups$\grave{ }$a}^3 z^5+4 \text{QuantumGroups$\grave{ }$a} z^5-16 z^5 $Failed^{-1} +4 z^5 $Failed^{-1} -18 \text{QuantumGroups$\grave{ }$a}^{10} z^4-52 \text{QuantumGroups$\grave{ }$a}^8 z^4-76 \text{QuantumGroups$\grave{ }$a}^6 z^4-59 \text{QuantumGroups$\grave{ }$a}^4 z^4-12 \text{QuantumGroups$\grave{ }$a}^2 z^4-8 z^4 $Failed^{-1} +z^4 $Failed^{-1} -4 z^4+29 \text{QuantumGroups$\grave{ }$a}^9 z^3+77 \text{QuantumGroups$\grave{ }$a}^7 z^3+59 \text{QuantumGroups$\grave{ }$a}^5 z^3+8 \text{QuantumGroups$\grave{ }$a}^3 z^3+3 \text{QuantumGroups$\grave{ }$a} z^3+5 z^3 $Failed^{-1} -z^3 $Failed^{-1} +8 \text{QuantumGroups$\grave{ }$a}^{10} z^2+24 \text{QuantumGroups$\grave{ }$a}^8 z^2+28 \text{QuantumGroups$\grave{ }$a}^6 z^2+15 \text{QuantumGroups$\grave{ }$a}^4 z^2+6 \text{QuantumGroups$\grave{ }$a}^2 z^2+3 z^2 $Failed^{-1} +6 z^2-5 \text{QuantumGroups$\grave{ }$a}^9 z-13 \text{QuantumGroups$\grave{ }$a}^7 z-11 \text{QuantumGroups$\grave{ }$a}^5 z-3 \text{QuantumGroups$\grave{ }$a}^3 z-\text{QuantumGroups$\grave{ }$a} z-z $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^{10}-3 \text{QuantumGroups$\grave{ }$a}^8-3 \text{QuantumGroups$\grave{ }$a}^6-\text{QuantumGroups$\grave{ }$a}^4-\text{QuantumGroups$\grave{ }$a}^2- $Failed^{-1} -1}

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