K14a18845

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a18845

Polynomial invariants

Jones polynomial	Data:K14a18845/Jones Polynomial
Alexander polynomial	$8t^{3}-42t^{2}+103t-137+103t^{-1}-42t^{-2}+8t^{-3}$
Conway polynomial	Data:K14a18845/Conway Polynomial
Determinant	Data:K14a18845/Determinant
Signature	Data:K14a18845/Signature
HOMFLY-PT polynomial	$-z^{4}a^{10}-z^{2}a^{10}-a^{10}+z^{6}a^{8}-a^{8}+3z^{6}a^{6}+5z^{4}a^{6}+6z^{2}a^{6}+3a^{6}+3z^{6}a^{4}+4z^{4}a^{4}+3z^{2}a^{4}+z^{6}a^{2}-z^{4}a^{2}-z^{2}a^{2}-z^{4}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle z^9 \text{QuantumGroups$\grave{ }$a}^{13}-5 z^7 \text{QuantumGroups$\grave{ }$a}^{13}+8 z^5 \text{QuantumGroups$\grave{ }$a}^{13}-4 z^3 \text{QuantumGroups$\grave{ }$a}^{13}+4 z^{10} \text{QuantumGroups$\grave{ }$a}^{12}-19 z^8 \text{QuantumGroups$\grave{ }$a}^{12}+29 z^6 \text{QuantumGroups$\grave{ }$a}^{12}-15 z^4 \text{QuantumGroups$\grave{ }$a}^{12}+2 z^2 \text{QuantumGroups$\grave{ }$a}^{12}+8 z^{11} \text{QuantumGroups$\grave{ }$a}^{11}-38 z^9 \text{QuantumGroups$\grave{ }$a}^{11}+65 z^7 \text{QuantumGroups$\grave{ }$a}^{11}-56 z^5 \text{QuantumGroups$\grave{ }$a}^{11}+32 z^3 \text{QuantumGroups$\grave{ }$a}^{11}-10 z \text{QuantumGroups$\grave{ }$a}^{11}+8 z^{12} \text{QuantumGroups$\grave{ }$a}^{10}-29 z^{10} \text{QuantumGroups$\grave{ }$a}^{10}+29 z^8 \text{QuantumGroups$\grave{ }$a}^{10}-7 z^6 \text{QuantumGroups$\grave{ }$a}^{10}+z^4 \text{QuantumGroups$\grave{ }$a}^{10}-z^2 \text{QuantumGroups$\grave{ }$a}^{10}+\text{QuantumGroups$\grave{ }$a}^{10}+3 z^{13} \text{QuantumGroups$\grave{ }$a}^9+11 z^{11} \text{QuantumGroups$\grave{ }$a}^9-85 z^9 \text{QuantumGroups$\grave{ }$a}^9+156 z^7 \text{QuantumGroups$\grave{ }$a}^9-139 z^5 \text{QuantumGroups$\grave{ }$a}^9+69 z^3 \text{QuantumGroups$\grave{ }$a}^9-14 z \text{QuantumGroups$\grave{ }$a}^9+19 z^{12} \text{QuantumGroups$\grave{ }$a}^8-57 z^{10} \text{QuantumGroups$\grave{ }$a}^8+36 z^8 \text{QuantumGroups$\grave{ }$a}^8+20 z^6 \text{QuantumGroups$\grave{ }$a}^8-32 z^4 \text{QuantumGroups$\grave{ }$a}^8+14 z^2 \text{QuantumGroups$\grave{ }$a}^8-\text{QuantumGroups$\grave{ }$a}^8+3 z^{13} \text{QuantumGroups$\grave{ }$a}^7+25 z^{11} \text{QuantumGroups$\grave{ }$a}^7-106 z^9 \text{QuantumGroups$\grave{ }$a}^7+126 z^7 \text{QuantumGroups$\grave{ }$a}^7-72 z^5 \text{QuantumGroups$\grave{ }$a}^7+24 z^3 \text{QuantumGroups$\grave{ }$a}^7-4 z \text{QuantumGroups$\grave{ }$a}^7+11 z^{12} \text{QuantumGroups$\grave{ }$a}^6+6 z^{10} \text{QuantumGroups$\grave{ }$a}^6-89 z^8 \text{QuantumGroups$\grave{ }$a}^6+116 z^6 \text{QuantumGroups$\grave{ }$a}^6-67 z^4 \text{QuantumGroups$\grave{ }$a}^6+20 z^2 \text{QuantumGroups$\grave{ }$a}^6-3 \text{QuantumGroups$\grave{ }$a}^6+22 z^{11} \text{QuantumGroups$\grave{ }$a}^5-30 z^9 \text{QuantumGroups$\grave{ }$a}^5-22 z^7 \text{QuantumGroups$\grave{ }$a}^5+39 z^5 \text{QuantumGroups$\grave{ }$a}^5-15 z^3 \text{QuantumGroups$\grave{ }$a}^5+z \text{QuantumGroups$\grave{ }$a}^5+30 z^{10} \text{QuantumGroups$\grave{ }$a}^4-54 z^8 \text{QuantumGroups$\grave{ }$a}^4+25 z^6 \text{QuantumGroups$\grave{ }$a}^4-5 z^4 \text{QuantumGroups$\grave{ }$a}^4+2 z^2 \text{QuantumGroups$\grave{ }$a}^4+30 z^9 \text{QuantumGroups$\grave{ }$a}^3-49 z^7 \text{QuantumGroups$\grave{ }$a}^3+24 z^5 \text{QuantumGroups$\grave{ }$a}^3-4 z^3 \text{QuantumGroups$\grave{ }$a}^3+z \text{QuantumGroups$\grave{ }$a}^3+23 z^8 \text{QuantumGroups$\grave{ }$a}^2-30 z^6 \text{QuantumGroups$\grave{ }$a}^2+12 z^4 \text{QuantumGroups$\grave{ }$a}^2-z^2 \text{QuantumGroups$\grave{ }$a}^2+13 z^7 \text{QuantumGroups$\grave{ }$a}-11 z^5 \text{QuantumGroups$\grave{ }$a}+2 z^3 \text{QuantumGroups$\grave{ }$a}+5 z^6-2 z^4+z^5 $Failed^{-1} }

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