K14a13486

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a13486

Polynomial invariants

Jones polynomial	Data:K14a13486/Jones Polynomial
Alexander polynomial	$5t^{4}-29t^{3}+82t^{2}-144t+173-144t^{-1}+82t^{-2}-29t^{-3}+5t^{-4}$
Conway polynomial	Data:K14a13486/Conway Polynomial
Determinant	Data:K14a13486/Determinant
Signature	Data:K14a13486/Signature
HOMFLY-PT polynomial	$-z^{6}a^{10}-2z^{4}a^{10}-2z^{2}a^{10}-a^{10}+z^{8}a^{8}+z^{6}a^{8}-z^{4}a^{8}+z^{2}a^{8}+3a^{8}+3z^{8}a^{6}+11z^{6}a^{6}+14z^{4}a^{6}+3z^{2}a^{6}-5a^{6}+z^{8}a^{4}+z^{6}a^{4}-z^{4}a^{4}+2z^{2}a^{4}+4a^{4}-z^{6}a^{2}-2z^{4}a^{2}-z^{2}a^{2}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle z^7 \text{QuantumGroups$\grave{ }$a}^{15}-2 z^5 \text{QuantumGroups$\grave{ }$a}^{15}+z^3 \text{QuantumGroups$\grave{ }$a}^{15}+5 z^8 \text{QuantumGroups$\grave{ }$a}^{14}-9 z^6 \text{QuantumGroups$\grave{ }$a}^{14}+5 z^4 \text{QuantumGroups$\grave{ }$a}^{14}-z^2 \text{QuantumGroups$\grave{ }$a}^{14}+14 z^9 \text{QuantumGroups$\grave{ }$a}^{13}-29 z^7 \text{QuantumGroups$\grave{ }$a}^{13}+25 z^5 \text{QuantumGroups$\grave{ }$a}^{13}-12 z^3 \text{QuantumGroups$\grave{ }$a}^{13}+z \text{QuantumGroups$\grave{ }$a}^{13}+24 z^{10} \text{QuantumGroups$\grave{ }$a}^{12}-51 z^8 \text{QuantumGroups$\grave{ }$a}^{12}+47 z^6 \text{QuantumGroups$\grave{ }$a}^{12}-28 z^4 \text{QuantumGroups$\grave{ }$a}^{12}+7 z^2 \text{QuantumGroups$\grave{ }$a}^{12}+25 z^{11} \text{QuantumGroups$\grave{ }$a}^{11}-35 z^9 \text{QuantumGroups$\grave{ }$a}^{11}+15 z^5 \text{QuantumGroups$\grave{ }$a}^{11}-4 z^3 \text{QuantumGroups$\grave{ }$a}^{11}-3 z \text{QuantumGroups$\grave{ }$a}^{11}+15 z^{12} \text{QuantumGroups$\grave{ }$a}^{10}+18 z^{10} \text{QuantumGroups$\grave{ }$a}^{10}-98 z^8 \text{QuantumGroups$\grave{ }$a}^{10}+96 z^6 \text{QuantumGroups$\grave{ }$a}^{10}-41 z^4 \text{QuantumGroups$\grave{ }$a}^{10}+10 z^2 \text{QuantumGroups$\grave{ }$a}^{10}+\text{QuantumGroups$\grave{ }$a}^{10}+4 z^{13} \text{QuantumGroups$\grave{ }$a}^9+50 z^{11} \text{QuantumGroups$\grave{ }$a}^9-118 z^9 \text{QuantumGroups$\grave{ }$a}^9+75 z^7 \text{QuantumGroups$\grave{ }$a}^9-20 z^5 \text{QuantumGroups$\grave{ }$a}^9+22 z^3 \text{QuantumGroups$\grave{ }$a}^9-12 z \text{QuantumGroups$\grave{ }$a}^9+30 z^{12} \text{QuantumGroups$\grave{ }$a}^8-13 z^{10} \text{QuantumGroups$\grave{ }$a}^8-91 z^8 \text{QuantumGroups$\grave{ }$a}^8+113 z^6 \text{QuantumGroups$\grave{ }$a}^8-45 z^4 \text{QuantumGroups$\grave{ }$a}^8+7 z^2 \text{QuantumGroups$\grave{ }$a}^8+3 \text{QuantumGroups$\grave{ }$a}^8+4 z^{13} \text{QuantumGroups$\grave{ }$a}^7+50 z^{11} \text{QuantumGroups$\grave{ }$a}^7-125 z^9 \text{QuantumGroups$\grave{ }$a}^7+94 z^7 \text{QuantumGroups$\grave{ }$a}^7-28 z^5 \text{QuantumGroups$\grave{ }$a}^7+19 z^3 \text{QuantumGroups$\grave{ }$a}^7-14 z \text{QuantumGroups$\grave{ }$a}^7+15 z^{12} \text{QuantumGroups$\grave{ }$a}^6+16 z^{10} \text{QuantumGroups$\grave{ }$a}^6-106 z^8 \text{QuantumGroups$\grave{ }$a}^6+136 z^6 \text{QuantumGroups$\grave{ }$a}^6-75 z^4 \text{QuantumGroups$\grave{ }$a}^6+10 z^2 \text{QuantumGroups$\grave{ }$a}^6+5 \text{QuantumGroups$\grave{ }$a}^6+25 z^{11} \text{QuantumGroups$\grave{ }$a}^5-43 z^9 \text{QuantumGroups$\grave{ }$a}^5+22 z^7 \text{QuantumGroups$\grave{ }$a}^5-z^5 \text{QuantumGroups$\grave{ }$a}^5+z^3 \text{QuantumGroups$\grave{ }$a}^5-6 z \text{QuantumGroups$\grave{ }$a}^5+23 z^{10} \text{QuantumGroups$\grave{ }$a}^4-52 z^8 \text{QuantumGroups$\grave{ }$a}^4+53 z^6 \text{QuantumGroups$\grave{ }$a}^4-32 z^4 \text{QuantumGroups$\grave{ }$a}^4+4 z^2 \text{QuantumGroups$\grave{ }$a}^4+4 \text{QuantumGroups$\grave{ }$a}^4+13 z^9 \text{QuantumGroups$\grave{ }$a}^3-26 z^7 \text{QuantumGroups$\grave{ }$a}^3+17 z^5 \text{QuantumGroups$\grave{ }$a}^3-4 z^3 \text{QuantumGroups$\grave{ }$a}^3+5 z^8 \text{QuantumGroups$\grave{ }$a}^2-10 z^6 \text{QuantumGroups$\grave{ }$a}^2+6 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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