K14a1510

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a1510

Polynomial invariants

Jones polynomial	Data:K14a1510/Jones Polynomial
Alexander polynomial	$t^{4}-12t^{3}+56t^{2}-135t+181-135t^{-1}+56t^{-2}-12t^{-3}+t^{-4}$
Conway polynomial	Data:K14a1510/Conway Polynomial
Determinant	Data:K14a1510/Determinant
Signature	Data:K14a1510/Signature
HOMFLY-PT polynomial	$z^{8}-3a^{2}z^{6}-3z^{6}a^{-2}+2z^{6}+3a^{4}z^{4}-4a^{2}z^{4}-5z^{4}a^{-2}+3z^{4}a^{-4}+7z^{4}-a^{6}z^{2}+2a^{4}z^{2}-5a^{2}z^{2}-8z^{2}a^{-2}+3z^{2}a^{-4}-z^{2}a^{-6}+7z^{2}+a^{4}-2a^{2}-4a^{-2}+2a^{-4}+4$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 \text{QuantumGroups$\grave{ }$a} z^{13}+2 z^{13} $Failed^{-1} +8 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+8 z^{12} $Failed^{-1} +16 z^{12}+15 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+33 \text{QuantumGroups$\grave{ }$a} z^{11}+32 z^{11} $Failed^{-1} +14 z^{11} $Failed^{-1} +17 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+28 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+23 z^{10} $Failed^{-1} +15 z^{10} $Failed^{-1} +19 z^{10}+12 \text{QuantumGroups$\grave{ }$a}^5 z^9-\text{QuantumGroups$\grave{ }$a}^3 z^9-40 \text{QuantumGroups$\grave{ }$a} z^9-40 z^9 $Failed^{-1} -2 z^9 $Failed^{-1} +11 z^9 $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^6 z^8-27 \text{QuantumGroups$\grave{ }$a}^4 z^8-80 \text{QuantumGroups$\grave{ }$a}^2 z^8-67 z^8 $Failed^{-1} -21 z^8 $Failed^{-1} +5 z^8 $Failed^{-1} -89 z^8+\text{QuantumGroups$\grave{ }$a}^7 z^7-26 \text{QuantumGroups$\grave{ }$a}^5 z^7-53 \text{QuantumGroups$\grave{ }$a}^3 z^7-45 \text{QuantumGroups$\grave{ }$a} z^7-44 z^7 $Failed^{-1} -50 z^7 $Failed^{-1} -24 z^7 $Failed^{-1} +z^7 $Failed^{-1} -11 \text{QuantumGroups$\grave{ }$a}^6 z^6+5 \text{QuantumGroups$\grave{ }$a}^4 z^6+45 \text{QuantumGroups$\grave{ }$a}^2 z^6+31 z^6 $Failed^{-1} -7 z^6 $Failed^{-1} -12 z^6 $Failed^{-1} +55 z^6-2 \text{QuantumGroups$\grave{ }$a}^7 z^5+22 \text{QuantumGroups$\grave{ }$a}^5 z^5+62 \text{QuantumGroups$\grave{ }$a}^3 z^5+82 \text{QuantumGroups$\grave{ }$a} z^5+92 z^5 $Failed^{-1} +69 z^5 $Failed^{-1} +19 z^5 $Failed^{-1} -2 z^5 $Failed^{-1} +9 \text{QuantumGroups$\grave{ }$a}^6 z^4+13 \text{QuantumGroups$\grave{ }$a}^4 z^4+5 \text{QuantumGroups$\grave{ }$a}^2 z^4+26 z^4 $Failed^{-1} +27 z^4 $Failed^{-1} +10 z^4 $Failed^{-1} +10 z^4+\text{QuantumGroups$\grave{ }$a}^7 z^3-8 \text{QuantumGroups$\grave{ }$a}^5 z^3-27 \text{QuantumGroups$\grave{ }$a}^3 z^3-45 \text{QuantumGroups$\grave{ }$a} z^3-54 z^3 $Failed^{-1} -35 z^3 $Failed^{-1} -7 z^3 $Failed^{-1} +z^3 $Failed^{-1} -3 \text{QuantumGroups$\grave{ }$a}^6 z^2-7 \text{QuantumGroups$\grave{ }$a}^4 z^2-10 \text{QuantumGroups$\grave{ }$a}^2 z^2-23 z^2 $Failed^{-1} -14 z^2 $Failed^{-1} -3 z^2 $Failed^{-1} -18 z^2+\text{QuantumGroups$\grave{ }$a}^5 z+5 \text{QuantumGroups$\grave{ }$a}^3 z+9 \text{QuantumGroups$\grave{ }$a} z+11 z $Failed^{-1} +7 z $Failed^{-1} +z $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^4+2 \text{QuantumGroups$\grave{ }$a}^2+4 $Failed^{-1} +2 $Failed^{-1} +4}

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