K14n13149

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n13149

Polynomial invariants

Jones polynomial	Data:K14n13149/Jones Polynomial
Alexander polynomial	$2t^{4}-13t^{3}+39t^{2}-77t+99-77t^{-1}+39t^{-2}-13t^{-3}+2t^{-4}$
Conway polynomial	Data:K14n13149/Conway Polynomial
Determinant	Data:K14n13149/Determinant
Signature	Data:K14n13149/Signature
HOMFLY-PT polynomial	$z^{8}a^{-2}+z^{8}-2a^{2}z^{6}+4z^{6}a^{-2}-z^{6}a^{-4}+2z^{6}+a^{4}z^{4}-5a^{2}z^{4}+9z^{4}a^{-2}-4z^{4}a^{-4}+2a^{4}z^{2}-6a^{2}z^{2}+9z^{2}a^{-2}-8z^{2}a^{-4}+z^{2}a^{-6}-4z^{2}+2a^{4}-2a^{2}+4a^{-2}-4a^{-4}+2a^{-6}-1$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 3 z^{12} $Failed^{-1} +3 z^{12}+11 \text{QuantumGroups$\grave{ }$a} z^{11}+20 z^{11} $Failed^{-1} +9 z^{11} $Failed^{-1} +17 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+21 z^{10} $Failed^{-1} +9 z^{10} $Failed^{-1} +29 z^{10}+16 \text{QuantumGroups$\grave{ }$a}^3 z^9+\text{QuantumGroups$\grave{ }$a} z^9-31 z^9 $Failed^{-1} -13 z^9 $Failed^{-1} +3 z^9 $Failed^{-1} +10 \text{QuantumGroups$\grave{ }$a}^4 z^8-26 \text{QuantumGroups$\grave{ }$a}^2 z^8-68 z^8 $Failed^{-1} -20 z^8 $Failed^{-1} -84 z^8+4 \text{QuantumGroups$\grave{ }$a}^5 z^7-30 \text{QuantumGroups$\grave{ }$a}^3 z^7-36 \text{QuantumGroups$\grave{ }$a} z^7+6 z^7 $Failed^{-1} +11 z^7 $Failed^{-1} +3 z^7 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^6 z^6-18 \text{QuantumGroups$\grave{ }$a}^4 z^6+12 \text{QuantumGroups$\grave{ }$a}^2 z^6+83 z^6 $Failed^{-1} +30 z^6 $Failed^{-1} +6 z^6 $Failed^{-1} +90 z^6-6 \text{QuantumGroups$\grave{ }$a}^5 z^5+27 \text{QuantumGroups$\grave{ }$a}^3 z^5+40 \text{QuantumGroups$\grave{ }$a} z^5+4 z^5 $Failed^{-1} -20 z^5 $Failed^{-1} -17 z^5 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^6 z^4+15 \text{QuantumGroups$\grave{ }$a}^4 z^4+5 \text{QuantumGroups$\grave{ }$a}^2 z^4-63 z^4 $Failed^{-1} -41 z^4 $Failed^{-1} -15 z^4 $Failed^{-1} -49 z^4+2 \text{QuantumGroups$\grave{ }$a}^5 z^3-14 \text{QuantumGroups$\grave{ }$a}^3 z^3-14 \text{QuantumGroups$\grave{ }$a} z^3+3 z^3 $Failed^{-1} +13 z^3 $Failed^{-1} +12 z^3 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^6 z^2-8 \text{QuantumGroups$\grave{ }$a}^4 z^2-8 \text{QuantumGroups$\grave{ }$a}^2 z^2+26 z^2 $Failed^{-1} +23 z^2 $Failed^{-1} +11 z^2 $Failed^{-1} +15 z^2+2 \text{QuantumGroups$\grave{ }$a}^3 z+\text{QuantumGroups$\grave{ }$a} z-z $Failed^{-1} -3 z $Failed^{-1} -3 z $Failed^{-1} +2 \text{QuantumGroups$\grave{ }$a}^4+2 \text{QuantumGroups$\grave{ }$a}^2-4 $Failed^{-1} -4 $Failed^{-1} -2 $Failed^{-1} -1}

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