K14a18702

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a18702

Polynomial invariants

Jones polynomial	Data:K14a18702/Jones Polynomial
Alexander polynomial	$-t^{6}+4t^{5}-10t^{4}+19t^{3}-29t^{2}+37t-39+37t^{-1}-29t^{-2}+19t^{-3}-10t^{-4}+4t^{-5}-t^{-6}$
Conway polynomial	Data:K14a18702/Conway Polynomial
Determinant	Data:K14a18702/Determinant
Signature	Data:K14a18702/Signature
HOMFLY-PT polynomial	$-a^{2}z^{12}+a^{4}z^{10}-10a^{2}z^{10}+z^{10}+8a^{4}z^{8}-40a^{2}z^{8}+8z^{8}+24a^{4}z^{6}-81a^{2}z^{6}+24z^{6}+33a^{4}z^{4}-86a^{2}z^{4}+33z^{4}+20a^{4}z^{2}-44a^{2}z^{2}+20z^{2}+4a^{4}-8a^{2}+5$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 \text{QuantumGroups$\grave{ }$a}^3 z^{13}+2 \text{QuantumGroups$\grave{ }$a} z^{13}+5 \text{QuantumGroups$\grave{ }$a}^4 z^{12}+10 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+5 z^{12}+7 \text{QuantumGroups$\grave{ }$a}^5 z^{11}-\text{QuantumGroups$\grave{ }$a}^3 z^{11}-2 \text{QuantumGroups$\grave{ }$a} z^{11}+6 z^{11} $Failed^{-1} +8 \text{QuantumGroups$\grave{ }$a}^6 z^{10}-18 \text{QuantumGroups$\grave{ }$a}^4 z^{10}-55 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+5 z^{10} $Failed^{-1} -24 z^{10}+7 \text{QuantumGroups$\grave{ }$a}^7 z^9-24 \text{QuantumGroups$\grave{ }$a}^5 z^9-19 \text{QuantumGroups$\grave{ }$a}^3 z^9-20 \text{QuantumGroups$\grave{ }$a} z^9-29 z^9 $Failed^{-1} +3 z^9 $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^8 z^8-27 \text{QuantumGroups$\grave{ }$a}^6 z^8+31 \text{QuantumGroups$\grave{ }$a}^4 z^8+137 \text{QuantumGroups$\grave{ }$a}^2 z^8-23 z^8 $Failed^{-1} +z^8 $Failed^{-1} +50 z^8+3 \text{QuantumGroups$\grave{ }$a}^9 z^7-20 \text{QuantumGroups$\grave{ }$a}^7 z^7+33 \text{QuantumGroups$\grave{ }$a}^5 z^7+54 \text{QuantumGroups$\grave{ }$a}^3 z^7+65 \text{QuantumGroups$\grave{ }$a} z^7+53 z^7 $Failed^{-1} -14 z^7 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^{10} z^6-12 \text{QuantumGroups$\grave{ }$a}^8 z^6+39 \text{QuantumGroups$\grave{ }$a}^6 z^6-34 \text{QuantumGroups$\grave{ }$a}^4 z^6-187 \text{QuantumGroups$\grave{ }$a}^2 z^6+33 z^6 $Failed^{-1} -5 z^6 $Failed^{-1} -63 z^6-8 \text{QuantumGroups$\grave{ }$a}^9 z^5+22 \text{QuantumGroups$\grave{ }$a}^7 z^5-13 \text{QuantumGroups$\grave{ }$a}^5 z^5-57 \text{QuantumGroups$\grave{ }$a}^3 z^5-85 \text{QuantumGroups$\grave{ }$a} z^5-53 z^5 $Failed^{-1} +18 z^5 $Failed^{-1} -3 \text{QuantumGroups$\grave{ }$a}^{10} z^4+6 \text{QuantumGroups$\grave{ }$a}^8 z^4-23 \text{QuantumGroups$\grave{ }$a}^6 z^4+42 \text{QuantumGroups$\grave{ }$a}^4 z^4+141 \text{QuantumGroups$\grave{ }$a}^2 z^4-20 z^4 $Failed^{-1} +7 z^4 $Failed^{-1} +40 z^4+4 \text{QuantumGroups$\grave{ }$a}^9 z^3-14 \text{QuantumGroups$\grave{ }$a}^7 z^3+4 \text{QuantumGroups$\grave{ }$a}^5 z^3+34 \text{QuantumGroups$\grave{ }$a}^3 z^3+40 \text{QuantumGroups$\grave{ }$a} z^3+23 z^3 $Failed^{-1} -5 z^3 $Failed^{-1} +2 \text{QuantumGroups$\grave{ }$a}^{10} z^2-2 \text{QuantumGroups$\grave{ }$a}^8 z^2+3 \text{QuantumGroups$\grave{ }$a}^6 z^2-21 \text{QuantumGroups$\grave{ }$a}^4 z^2-55 \text{QuantumGroups$\grave{ }$a}^2 z^2+6 z^2 $Failed^{-1} -2 z^2 $Failed^{-1} -19 z^2+2 \text{QuantumGroups$\grave{ }$a}^7 z-\text{QuantumGroups$\grave{ }$a}^5 z-7 \text{QuantumGroups$\grave{ }$a}^3 z-7 \text{QuantumGroups$\grave{ }$a} z-3 z $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^4+8 \text{QuantumGroups$\grave{ }$a}^2+5}

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