K14n17614

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n17614

Polynomial invariants

Jones polynomial	Data:K14n17614/Jones Polynomial
Alexander polynomial	$3t^{4}-15t^{3}+42t^{2}-73t+87-73t^{-1}+42t^{-2}-15t^{-3}+3t^{-4}$
Conway polynomial	Data:K14n17614/Conway Polynomial
Determinant	Data:K14n17614/Determinant
Signature	Data:K14n17614/Signature
HOMFLY-PT polynomial	$-2z^{6}a^{8}-7z^{4}a^{8}-10z^{2}a^{8}-5a^{8}+2z^{8}a^{6}+10z^{6}a^{6}+22z^{4}a^{6}+23z^{2}a^{6}+8a^{6}+z^{8}a^{4}+2z^{6}a^{4}-z^{4}a^{4}-4z^{2}a^{4}-2a^{4}-z^{6}a^{2}-2z^{4}a^{2}-z^{2}a^{2}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 3 z^5 \text{QuantumGroups$\grave{ }$a}^{13}-6 z^3 \text{QuantumGroups$\grave{ }$a}^{13}+3 z \text{QuantumGroups$\grave{ }$a}^{13}+z^8 \text{QuantumGroups$\grave{ }$a}^{12}+6 z^6 \text{QuantumGroups$\grave{ }$a}^{12}-10 z^4 \text{QuantumGroups$\grave{ }$a}^{12}+3 z^2 \text{QuantumGroups$\grave{ }$a}^{12}+5 z^9 \text{QuantumGroups$\grave{ }$a}^{11}-3 z^7 \text{QuantumGroups$\grave{ }$a}^{11}+7 z^5 \text{QuantumGroups$\grave{ }$a}^{11}-8 z^3 \text{QuantumGroups$\grave{ }$a}^{11}+z \text{QuantumGroups$\grave{ }$a}^{11}+10 z^{10} \text{QuantumGroups$\grave{ }$a}^{10}-19 z^8 \text{QuantumGroups$\grave{ }$a}^{10}+30 z^6 \text{QuantumGroups$\grave{ }$a}^{10}-17 z^4 \text{QuantumGroups$\grave{ }$a}^{10}+z^2 \text{QuantumGroups$\grave{ }$a}^{10}+9 z^{11} \text{QuantumGroups$\grave{ }$a}^9-7 z^9 \text{QuantumGroups$\grave{ }$a}^9-8 z^7 \text{QuantumGroups$\grave{ }$a}^9+27 z^5 \text{QuantumGroups$\grave{ }$a}^9-17 z^3 \text{QuantumGroups$\grave{ }$a}^9+3 z \text{QuantumGroups$\grave{ }$a}^9+3 z^{12} \text{QuantumGroups$\grave{ }$a}^8+23 z^{10} \text{QuantumGroups$\grave{ }$a}^8-73 z^8 \text{QuantumGroups$\grave{ }$a}^8+90 z^6 \text{QuantumGroups$\grave{ }$a}^8-56 z^4 \text{QuantumGroups$\grave{ }$a}^8+23 z^2 \text{QuantumGroups$\grave{ }$a}^8-5 \text{QuantumGroups$\grave{ }$a}^8+20 z^{11} \text{QuantumGroups$\grave{ }$a}^7-28 z^9 \text{QuantumGroups$\grave{ }$a}^7-17 z^7 \text{QuantumGroups$\grave{ }$a}^7+48 z^5 \text{QuantumGroups$\grave{ }$a}^7-33 z^3 \text{QuantumGroups$\grave{ }$a}^7+9 z \text{QuantumGroups$\grave{ }$a}^7+3 z^{12} \text{QuantumGroups$\grave{ }$a}^6+29 z^{10} \text{QuantumGroups$\grave{ }$a}^6-94 z^8 \text{QuantumGroups$\grave{ }$a}^6+102 z^6 \text{QuantumGroups$\grave{ }$a}^6-71 z^4 \text{QuantumGroups$\grave{ }$a}^6+34 z^2 \text{QuantumGroups$\grave{ }$a}^6-8 \text{QuantumGroups$\grave{ }$a}^6+11 z^{11} \text{QuantumGroups$\grave{ }$a}^5-4 z^9 \text{QuantumGroups$\grave{ }$a}^5-42 z^7 \text{QuantumGroups$\grave{ }$a}^5+49 z^5 \text{QuantumGroups$\grave{ }$a}^5-27 z^3 \text{QuantumGroups$\grave{ }$a}^5+6 z \text{QuantumGroups$\grave{ }$a}^5+16 z^{10} \text{QuantumGroups$\grave{ }$a}^4-36 z^8 \text{QuantumGroups$\grave{ }$a}^4+25 z^6 \text{QuantumGroups$\grave{ }$a}^4-15 z^4 \text{QuantumGroups$\grave{ }$a}^4+8 z^2 \text{QuantumGroups$\grave{ }$a}^4-2 \text{QuantumGroups$\grave{ }$a}^4+12 z^9 \text{QuantumGroups$\grave{ }$a}^3-29 z^7 \text{QuantumGroups$\grave{ }$a}^3+22 z^5 \text{QuantumGroups$\grave{ }$a}^3-8 z^3 \text{QuantumGroups$\grave{ }$a}^3+2 z \text{QuantumGroups$\grave{ }$a}^3+5 z^8 \text{QuantumGroups$\grave{ }$a}^2-11 z^6 \text{QuantumGroups$\grave{ }$a}^2+7 z^4 \text{QuantumGroups$\grave{ }$a}^2-z^2 \text{QuantumGroups$\grave{ }$a}^2+z^7 \text{QuantumGroups$\grave{ }$a}-2 z^5 \text{QuantumGroups$\grave{ }$a}+z^3 \text{QuantumGroups$\grave{ }$a}}

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