K14a7720

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a7720

Polynomial invariants

Jones polynomial	Data:K14a7720/Jones Polynomial
Alexander polynomial	$2t^{4}-14t^{3}+42t^{2}-66t+73-66t^{-1}+42t^{-2}-14t^{-3}+2t^{-4}$
Conway polynomial	Data:K14a7720/Conway Polynomial
Determinant	Data:K14a7720/Determinant
Signature	Data:K14a7720/Signature
HOMFLY-PT polynomial	$-z^{2}a^{12}-2a^{12}+3z^{4}a^{10}+7z^{2}a^{10}+2a^{10}-3z^{6}a^{8}-8z^{4}a^{8}-3z^{2}a^{8}+a^{8}+z^{8}a^{6}+2z^{6}a^{6}-z^{4}a^{6}-2z^{2}a^{6}-2a^{6}+z^{8}a^{4}+4z^{6}a^{4}+7z^{4}a^{4}+8z^{2}a^{4}+2a^{4}-z^{6}a^{2}-3z^{4}a^{2}-z^{2}a^{2}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle z^7 \text{QuantumGroups$\grave{ }$a}^{15}-4 z^5 \text{QuantumGroups$\grave{ }$a}^{15}+5 z^3 \text{QuantumGroups$\grave{ }$a}^{15}-2 z \text{QuantumGroups$\grave{ }$a}^{15}+3 z^8 \text{QuantumGroups$\grave{ }$a}^{14}-9 z^6 \text{QuantumGroups$\grave{ }$a}^{14}+7 z^4 \text{QuantumGroups$\grave{ }$a}^{14}-z^2 \text{QuantumGroups$\grave{ }$a}^{14}+6 z^9 \text{QuantumGroups$\grave{ }$a}^{13}-18 z^7 \text{QuantumGroups$\grave{ }$a}^{13}+19 z^5 \text{QuantumGroups$\grave{ }$a}^{13}-12 z^3 \text{QuantumGroups$\grave{ }$a}^{13}+4 z \text{QuantumGroups$\grave{ }$a}^{13}+7 z^{10} \text{QuantumGroups$\grave{ }$a}^{12}-16 z^8 \text{QuantumGroups$\grave{ }$a}^{12}+11 z^6 \text{QuantumGroups$\grave{ }$a}^{12}-8 z^4 \text{QuantumGroups$\grave{ }$a}^{12}+7 z^2 \text{QuantumGroups$\grave{ }$a}^{12}-2 \text{QuantumGroups$\grave{ }$a}^{12}+6 z^{11} \text{QuantumGroups$\grave{ }$a}^{11}-9 z^9 \text{QuantumGroups$\grave{ }$a}^{11}+5 z^5 \text{QuantumGroups$\grave{ }$a}^{11}-8 z^3 \text{QuantumGroups$\grave{ }$a}^{11}+4 z \text{QuantumGroups$\grave{ }$a}^{11}+4 z^{12} \text{QuantumGroups$\grave{ }$a}^{10}-4 z^{10} \text{QuantumGroups$\grave{ }$a}^{10}+5 z^8 \text{QuantumGroups$\grave{ }$a}^{10}-13 z^6 \text{QuantumGroups$\grave{ }$a}^{10}+10 z^4 \text{QuantumGroups$\grave{ }$a}^{10}-2 z^2 \text{QuantumGroups$\grave{ }$a}^{10}-2 \text{QuantumGroups$\grave{ }$a}^{10}+z^{13} \text{QuantumGroups$\grave{ }$a}^9+11 z^{11} \text{QuantumGroups$\grave{ }$a}^9-44 z^9 \text{QuantumGroups$\grave{ }$a}^9+92 z^7 \text{QuantumGroups$\grave{ }$a}^9-99 z^5 \text{QuantumGroups$\grave{ }$a}^9+43 z^3 \text{QuantumGroups$\grave{ }$a}^9-3 z \text{QuantumGroups$\grave{ }$a}^9+8 z^{12} \text{QuantumGroups$\grave{ }$a}^8-20 z^{10} \text{QuantumGroups$\grave{ }$a}^8+29 z^8 \text{QuantumGroups$\grave{ }$a}^8-19 z^6 \text{QuantumGroups$\grave{ }$a}^8+12 z^4 \text{QuantumGroups$\grave{ }$a}^8-10 z^2 \text{QuantumGroups$\grave{ }$a}^8+\text{QuantumGroups$\grave{ }$a}^8+z^{13} \text{QuantumGroups$\grave{ }$a}^7+12 z^{11} \text{QuantumGroups$\grave{ }$a}^7-51 z^9 \text{QuantumGroups$\grave{ }$a}^7+98 z^7 \text{QuantumGroups$\grave{ }$a}^7-85 z^5 \text{QuantumGroups$\grave{ }$a}^7+28 z^3 \text{QuantumGroups$\grave{ }$a}^7+z \text{QuantumGroups$\grave{ }$a}^7+4 z^{12} \text{QuantumGroups$\grave{ }$a}^6-z^{10} \text{QuantumGroups$\grave{ }$a}^6-20 z^8 \text{QuantumGroups$\grave{ }$a}^6+34 z^6 \text{QuantumGroups$\grave{ }$a}^6-7 z^4 \text{QuantumGroups$\grave{ }$a}^6-10 z^2 \text{QuantumGroups$\grave{ }$a}^6+2 \text{QuantumGroups$\grave{ }$a}^6+7 z^{11} \text{QuantumGroups$\grave{ }$a}^5-15 z^9 \text{QuantumGroups$\grave{ }$a}^5+z^7 \text{QuantumGroups$\grave{ }$a}^5+19 z^5 \text{QuantumGroups$\grave{ }$a}^5-13 z^3 \text{QuantumGroups$\grave{ }$a}^5+3 z \text{QuantumGroups$\grave{ }$a}^5+8 z^{10} \text{QuantumGroups$\grave{ }$a}^4-21 z^8 \text{QuantumGroups$\grave{ }$a}^4+6 z^6 \text{QuantumGroups$\grave{ }$a}^4+18 z^4 \text{QuantumGroups$\grave{ }$a}^4-13 z^2 \text{QuantumGroups$\grave{ }$a}^4+2 \text{QuantumGroups$\grave{ }$a}^4+7 z^9 \text{QuantumGroups$\grave{ }$a}^3-23 z^7 \text{QuantumGroups$\grave{ }$a}^3+20 z^5 \text{QuantumGroups$\grave{ }$a}^3-6 z^3 \text{QuantumGroups$\grave{ }$a}^3+z \text{QuantumGroups$\grave{ }$a}^3+4 z^8 \text{QuantumGroups$\grave{ }$a}^2-14 z^6 \text{QuantumGroups$\grave{ }$a}^2+12 z^4 \text{QuantumGroups$\grave{ }$a}^2-3 z^2 \text{QuantumGroups$\grave{ }$a}^2+z^7 \text{QuantumGroups$\grave{ }$a}-3 z^5 \text{QuantumGroups$\grave{ }$a}+z^3 \text{QuantumGroups$\grave{ }$a}}

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