K14a5591

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a5591

Polynomial invariants

Jones polynomial	Data:K14a5591/Jones Polynomial
Alexander polynomial	$4t^{4}-14t^{3}+26t^{2}-32t+33-32t^{-1}+26t^{-2}-14t^{-3}+4t^{-4}$
Conway polynomial	Data:K14a5591/Conway Polynomial
Determinant	Data:K14a5591/Determinant
Signature	Data:K14a5591/Signature
HOMFLY-PT polynomial	$-z^{6}a^{8}-5z^{4}a^{8}-7z^{2}a^{8}-3a^{8}+z^{8}a^{6}+5z^{6}a^{6}+8z^{4}a^{6}+6z^{2}a^{6}+a^{6}+2z^{8}a^{4}+11z^{6}a^{4}+20z^{4}a^{4}+16z^{2}a^{4}+5a^{4}+z^{8}a^{2}+4z^{6}a^{2}+3z^{4}a^{2}-z^{2}a^{2}-a^{2}-z^{6}-4z^{4}-4z^{2}-1$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle z^5 \text{QuantumGroups$\grave{ }$a}^{13}-3 z^3 \text{QuantumGroups$\grave{ }$a}^{13}+2 z \text{QuantumGroups$\grave{ }$a}^{13}+2 z^6 \text{QuantumGroups$\grave{ }$a}^{12}-4 z^4 \text{QuantumGroups$\grave{ }$a}^{12}+z^2 \text{QuantumGroups$\grave{ }$a}^{12}+3 z^7 \text{QuantumGroups$\grave{ }$a}^{11}-5 z^5 \text{QuantumGroups$\grave{ }$a}^{11}+2 z^3 \text{QuantumGroups$\grave{ }$a}^{11}-z \text{QuantumGroups$\grave{ }$a}^{11}+4 z^8 \text{QuantumGroups$\grave{ }$a}^{10}-8 z^6 \text{QuantumGroups$\grave{ }$a}^{10}+8 z^4 \text{QuantumGroups$\grave{ }$a}^{10}-3 z^2 \text{QuantumGroups$\grave{ }$a}^{10}+5 z^9 \text{QuantumGroups$\grave{ }$a}^9-14 z^7 \text{QuantumGroups$\grave{ }$a}^9+21 z^5 \text{QuantumGroups$\grave{ }$a}^9-12 z^3 \text{QuantumGroups$\grave{ }$a}^9+3 z \text{QuantumGroups$\grave{ }$a}^9+5 z^{10} \text{QuantumGroups$\grave{ }$a}^8-15 z^8 \text{QuantumGroups$\grave{ }$a}^8+21 z^6 \text{QuantumGroups$\grave{ }$a}^8-13 z^4 \text{QuantumGroups$\grave{ }$a}^8+9 z^2 \text{QuantumGroups$\grave{ }$a}^8-3 \text{QuantumGroups$\grave{ }$a}^8+4 z^{11} \text{QuantumGroups$\grave{ }$a}^7-10 z^9 \text{QuantumGroups$\grave{ }$a}^7+3 z^7 \text{QuantumGroups$\grave{ }$a}^7+16 z^5 \text{QuantumGroups$\grave{ }$a}^7-18 z^3 \text{QuantumGroups$\grave{ }$a}^7+5 z \text{QuantumGroups$\grave{ }$a}^7+3 z^{12} \text{QuantumGroups$\grave{ }$a}^6-9 z^{10} \text{QuantumGroups$\grave{ }$a}^6+11 z^8 \text{QuantumGroups$\grave{ }$a}^6-13 z^6 \text{QuantumGroups$\grave{ }$a}^6+8 z^4 \text{QuantumGroups$\grave{ }$a}^6-2 z^2 \text{QuantumGroups$\grave{ }$a}^6-\text{QuantumGroups$\grave{ }$a}^6+z^{13} \text{QuantumGroups$\grave{ }$a}^5+3 z^{11} \text{QuantumGroups$\grave{ }$a}^5-27 z^9 \text{QuantumGroups$\grave{ }$a}^5+57 z^7 \text{QuantumGroups$\grave{ }$a}^5-68 z^5 \text{QuantumGroups$\grave{ }$a}^5+38 z^3 \text{QuantumGroups$\grave{ }$a}^5-9 z \text{QuantumGroups$\grave{ }$a}^5+6 z^{12} \text{QuantumGroups$\grave{ }$a}^4-28 z^{10} \text{QuantumGroups$\grave{ }$a}^4+51 z^8 \text{QuantumGroups$\grave{ }$a}^4-62 z^6 \text{QuantumGroups$\grave{ }$a}^4+46 z^4 \text{QuantumGroups$\grave{ }$a}^4-21 z^2 \text{QuantumGroups$\grave{ }$a}^4+5 \text{QuantumGroups$\grave{ }$a}^4+z^{13} \text{QuantumGroups$\grave{ }$a}^3+3 z^{11} \text{QuantumGroups$\grave{ }$a}^3-33 z^9 \text{QuantumGroups$\grave{ }$a}^3+72 z^7 \text{QuantumGroups$\grave{ }$a}^3-82 z^5 \text{QuantumGroups$\grave{ }$a}^3+52 z^3 \text{QuantumGroups$\grave{ }$a}^3-12 z \text{QuantumGroups$\grave{ }$a}^3+3 z^{12} \text{QuantumGroups$\grave{ }$a}^2-11 z^{10} \text{QuantumGroups$\grave{ }$a}^2+4 z^8 \text{QuantumGroups$\grave{ }$a}^2+13 z^6 \text{QuantumGroups$\grave{ }$a}^2-8 z^4 \text{QuantumGroups$\grave{ }$a}^2+\text{QuantumGroups$\grave{ }$a}^2+4 z^{11} \text{QuantumGroups$\grave{ }$a}-20 z^9 \text{QuantumGroups$\grave{ }$a}+29 z^7 \text{QuantumGroups$\grave{ }$a}-13 z^5 \text{QuantumGroups$\grave{ }$a}+4 z^3 \text{QuantumGroups$\grave{ }$a}-2 z \text{QuantumGroups$\grave{ }$a}+3 z^{10}-17 z^8+31 z^6-21 z^4+6 z^2-1+z^9 $Failed^{-1} -6 z^7 $Failed^{-1} +12 z^5 $Failed^{-1} -9 z^3 $Failed^{-1} +2 z $Failed^{-1} }

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