K14a5369

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a5369

Polynomial invariants

Jones polynomial	Data:K14a5369/Jones Polynomial
Alexander polynomial	$2t^{4}-17t^{3}+57t^{2}-106t+129-106t^{-1}+57t^{-2}-17t^{-3}+2t^{-4}$
Conway polynomial	Data:K14a5369/Conway Polynomial
Determinant	Data:K14a5369/Determinant
Signature	Data:K14a5369/Signature
HOMFLY-PT polynomial	$z^{4}a^{10}+2z^{2}a^{10}+a^{10}-2z^{6}a^{8}-5z^{4}a^{8}-5z^{2}a^{8}-3a^{8}+z^{8}a^{6}+2z^{6}a^{6}+3z^{4}a^{6}+5z^{2}a^{6}+3a^{6}+z^{8}a^{4}+z^{6}a^{4}-2z^{4}a^{4}-3z^{2}a^{4}-2a^{4}-2z^{6}a^{2}-3z^{4}a^{2}+z^{2}a^{2}+2a^{2}+z^{4}+z^{2}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle z^6 \text{QuantumGroups$\grave{ }$a}^{14}-2 z^4 \text{QuantumGroups$\grave{ }$a}^{14}+z^2 \text{QuantumGroups$\grave{ }$a}^{14}+4 z^7 \text{QuantumGroups$\grave{ }$a}^{13}-7 z^5 \text{QuantumGroups$\grave{ }$a}^{13}+4 z^3 \text{QuantumGroups$\grave{ }$a}^{13}-z \text{QuantumGroups$\grave{ }$a}^{13}+9 z^8 \text{QuantumGroups$\grave{ }$a}^{12}-15 z^6 \text{QuantumGroups$\grave{ }$a}^{12}+10 z^4 \text{QuantumGroups$\grave{ }$a}^{12}-3 z^2 \text{QuantumGroups$\grave{ }$a}^{12}+14 z^9 \text{QuantumGroups$\grave{ }$a}^{11}-22 z^7 \text{QuantumGroups$\grave{ }$a}^{11}+15 z^5 \text{QuantumGroups$\grave{ }$a}^{11}-4 z^3 \text{QuantumGroups$\grave{ }$a}^{11}+16 z^{10} \text{QuantumGroups$\grave{ }$a}^{10}-20 z^8 \text{QuantumGroups$\grave{ }$a}^{10}+6 z^6 \text{QuantumGroups$\grave{ }$a}^{10}+3 z^4 \text{QuantumGroups$\grave{ }$a}^{10}+z^2 \text{QuantumGroups$\grave{ }$a}^{10}-\text{QuantumGroups$\grave{ }$a}^{10}+14 z^{11} \text{QuantumGroups$\grave{ }$a}^9-10 z^9 \text{QuantumGroups$\grave{ }$a}^9-11 z^7 \text{QuantumGroups$\grave{ }$a}^9+14 z^5 \text{QuantumGroups$\grave{ }$a}^9-4 z^3 \text{QuantumGroups$\grave{ }$a}^9+2 z \text{QuantumGroups$\grave{ }$a}^9+8 z^{12} \text{QuantumGroups$\grave{ }$a}^8+13 z^{10} \text{QuantumGroups$\grave{ }$a}^8-57 z^8 \text{QuantumGroups$\grave{ }$a}^8+63 z^6 \text{QuantumGroups$\grave{ }$a}^8-38 z^4 \text{QuantumGroups$\grave{ }$a}^8+16 z^2 \text{QuantumGroups$\grave{ }$a}^8-3 \text{QuantumGroups$\grave{ }$a}^8+2 z^{13} \text{QuantumGroups$\grave{ }$a}^7+29 z^{11} \text{QuantumGroups$\grave{ }$a}^7-79 z^9 \text{QuantumGroups$\grave{ }$a}^7+77 z^7 \text{QuantumGroups$\grave{ }$a}^7-45 z^5 \text{QuantumGroups$\grave{ }$a}^7+15 z^3 \text{QuantumGroups$\grave{ }$a}^7-2 z \text{QuantumGroups$\grave{ }$a}^7+16 z^{12} \text{QuantumGroups$\grave{ }$a}^6-10 z^{10} \text{QuantumGroups$\grave{ }$a}^6-62 z^8 \text{QuantumGroups$\grave{ }$a}^6+97 z^6 \text{QuantumGroups$\grave{ }$a}^6-63 z^4 \text{QuantumGroups$\grave{ }$a}^6+20 z^2 \text{QuantumGroups$\grave{ }$a}^6-3 \text{QuantumGroups$\grave{ }$a}^6+2 z^{13} \text{QuantumGroups$\grave{ }$a}^5+28 z^{11} \text{QuantumGroups$\grave{ }$a}^5-92 z^9 \text{QuantumGroups$\grave{ }$a}^5+91 z^7 \text{QuantumGroups$\grave{ }$a}^5-47 z^5 \text{QuantumGroups$\grave{ }$a}^5+17 z^3 \text{QuantumGroups$\grave{ }$a}^5-4 z \text{QuantumGroups$\grave{ }$a}^5+8 z^{12} \text{QuantumGroups$\grave{ }$a}^4+4 z^{10} \text{QuantumGroups$\grave{ }$a}^4-70 z^8 \text{QuantumGroups$\grave{ }$a}^4+94 z^6 \text{QuantumGroups$\grave{ }$a}^4-52 z^4 \text{QuantumGroups$\grave{ }$a}^4+16 z^2 \text{QuantumGroups$\grave{ }$a}^4-2 \text{QuantumGroups$\grave{ }$a}^4+13 z^{11} \text{QuantumGroups$\grave{ }$a}^3-32 z^9 \text{QuantumGroups$\grave{ }$a}^3+13 z^7 \text{QuantumGroups$\grave{ }$a}^3+6 z^5 \text{QuantumGroups$\grave{ }$a}^3+z^3 \text{QuantumGroups$\grave{ }$a}^3-z \text{QuantumGroups$\grave{ }$a}^3+11 z^{10} \text{QuantumGroups$\grave{ }$a}^2-35 z^8 \text{QuantumGroups$\grave{ }$a}^2+35 z^6 \text{QuantumGroups$\grave{ }$a}^2-15 z^4 \text{QuantumGroups$\grave{ }$a}^2+6 z^2 \text{QuantumGroups$\grave{ }$a}^2-2 \text{QuantumGroups$\grave{ }$a}^2+5 z^9 \text{QuantumGroups$\grave{ }$a}-16 z^7 \text{QuantumGroups$\grave{ }$a}+16 z^5 \text{QuantumGroups$\grave{ }$a}-5 z^3 \text{QuantumGroups$\grave{ }$a}+z^8-3 z^6+3 z^4-z^2}

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