K14n11802

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n11802

Polynomial invariants

Jones polynomial	Data:K14n11802/Jones Polynomial
Alexander polynomial	$t^{5}-4t^{4}+5t^{3}+8t^{2}-32t+45-32t^{-1}+8t^{-2}+5t^{-3}-4t^{-4}+t^{-5}$
Conway polynomial	Data:K14n11802/Conway Polynomial
Determinant	Data:K14n11802/Determinant
Signature	Data:K14n11802/Signature
HOMFLY-PT polynomial	$-z^{2}a^{12}-a^{12}+4z^{4}a^{10}+8z^{2}a^{10}+5a^{10}-z^{8}a^{8}-9z^{6}a^{8}-22z^{4}a^{8}-25z^{2}a^{8}-12a^{8}+z^{10}a^{6}+8z^{8}a^{6}+23z^{6}a^{6}+36z^{4}a^{6}+31z^{2}a^{6}+11a^{6}-z^{8}a^{4}-6z^{6}a^{4}-10z^{4}a^{4}-7z^{2}a^{4}-2a^{4}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle z^7 \text{QuantumGroups$\grave{ }$a}^{15}-3 z^5 \text{QuantumGroups$\grave{ }$a}^{15}+2 z^3 \text{QuantumGroups$\grave{ }$a}^{15}+4 z^8 \text{QuantumGroups$\grave{ }$a}^{14}-13 z^6 \text{QuantumGroups$\grave{ }$a}^{14}+11 z^4 \text{QuantumGroups$\grave{ }$a}^{14}-3 z^2 \text{QuantumGroups$\grave{ }$a}^{14}+7 z^9 \text{QuantumGroups$\grave{ }$a}^{13}-23 z^7 \text{QuantumGroups$\grave{ }$a}^{13}+21 z^5 \text{QuantumGroups$\grave{ }$a}^{13}-11 z^3 \text{QuantumGroups$\grave{ }$a}^{13}+4 z \text{QuantumGroups$\grave{ }$a}^{13}+6 z^{10} \text{QuantumGroups$\grave{ }$a}^{12}-14 z^8 \text{QuantumGroups$\grave{ }$a}^{12}-2 z^6 \text{QuantumGroups$\grave{ }$a}^{12}+8 z^4 \text{QuantumGroups$\grave{ }$a}^{12}-z^2 \text{QuantumGroups$\grave{ }$a}^{12}-\text{QuantumGroups$\grave{ }$a}^{12}+2 z^{11} \text{QuantumGroups$\grave{ }$a}^{11}+7 z^9 \text{QuantumGroups$\grave{ }$a}^{11}-46 z^7 \text{QuantumGroups$\grave{ }$a}^{11}+62 z^5 \text{QuantumGroups$\grave{ }$a}^{11}-42 z^3 \text{QuantumGroups$\grave{ }$a}^{11}+12 z \text{QuantumGroups$\grave{ }$a}^{11}+10 z^{10} \text{QuantumGroups$\grave{ }$a}^{10}-38 z^8 \text{QuantumGroups$\grave{ }$a}^{10}+50 z^6 \text{QuantumGroups$\grave{ }$a}^{10}-38 z^4 \text{QuantumGroups$\grave{ }$a}^{10}+17 z^2 \text{QuantumGroups$\grave{ }$a}^{10}-5 \text{QuantumGroups$\grave{ }$a}^{10}+3 z^{11} \text{QuantumGroups$\grave{ }$a}^9-9 z^9 \text{QuantumGroups$\grave{ }$a}^9-8 z^7 \text{QuantumGroups$\grave{ }$a}^9+55 z^5 \text{QuantumGroups$\grave{ }$a}^9-62 z^3 \text{QuantumGroups$\grave{ }$a}^9+22 z \text{QuantumGroups$\grave{ }$a}^9+z^{12} \text{QuantumGroups$\grave{ }$a}^8-z^{10} \text{QuantumGroups$\grave{ }$a}^8-30 z^8 \text{QuantumGroups$\grave{ }$a}^8+98 z^6 \text{QuantumGroups$\grave{ }$a}^8-102 z^4 \text{QuantumGroups$\grave{ }$a}^8+50 z^2 \text{QuantumGroups$\grave{ }$a}^8-12 \text{QuantumGroups$\grave{ }$a}^8+4 z^{11} \text{QuantumGroups$\grave{ }$a}^7-29 z^9 \text{QuantumGroups$\grave{ }$a}^7+45 z^7 \text{QuantumGroups$\grave{ }$a}^7+15 z^5 \text{QuantumGroups$\grave{ }$a}^7-49 z^3 \text{QuantumGroups$\grave{ }$a}^7+20 z \text{QuantumGroups$\grave{ }$a}^7+z^{12} \text{QuantumGroups$\grave{ }$a}^6-2 z^{10} \text{QuantumGroups$\grave{ }$a}^6-30 z^8 \text{QuantumGroups$\grave{ }$a}^6+98 z^6 \text{QuantumGroups$\grave{ }$a}^6-99 z^4 \text{QuantumGroups$\grave{ }$a}^6+47 z^2 \text{QuantumGroups$\grave{ }$a}^6-11 \text{QuantumGroups$\grave{ }$a}^6+3 z^{11} \text{QuantumGroups$\grave{ }$a}^5-19 z^9 \text{QuantumGroups$\grave{ }$a}^5+25 z^7 \text{QuantumGroups$\grave{ }$a}^5+8 z^5 \text{QuantumGroups$\grave{ }$a}^5-23 z^3 \text{QuantumGroups$\grave{ }$a}^5+8 z \text{QuantumGroups$\grave{ }$a}^5+3 z^{10} \text{QuantumGroups$\grave{ }$a}^4-20 z^8 \text{QuantumGroups$\grave{ }$a}^4+39 z^6 \text{QuantumGroups$\grave{ }$a}^4-32 z^4 \text{QuantumGroups$\grave{ }$a}^4+12 z^2 \text{QuantumGroups$\grave{ }$a}^4-2 \text{QuantumGroups$\grave{ }$a}^4+z^9 \text{QuantumGroups$\grave{ }$a}^3-6 z^7 \text{QuantumGroups$\grave{ }$a}^3+10 z^5 \text{QuantumGroups$\grave{ }$a}^3-7 z^3 \text{QuantumGroups$\grave{ }$a}^3+2 z \text{QuantumGroups$\grave{ }$a}^3}

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