K14a6655

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a6655

Polynomial invariants

Jones polynomial	Data:K14a6655/Jones Polynomial
Alexander polynomial	$t^{5}-8t^{4}+31t^{3}-73t^{2}+118t-137+118t^{-1}-73t^{-2}+31t^{-3}-8t^{-4}+t^{-5}$
Conway polynomial	Data:K14a6655/Conway Polynomial
Determinant	Data:K14a6655/Determinant
Signature	Data:K14a6655/Signature
HOMFLY-PT polynomial	$a^{2}z^{10}-2a^{4}z^{8}+6a^{2}z^{8}-2z^{8}+a^{6}z^{6}-9a^{4}z^{6}+17a^{2}z^{6}+z^{6}a^{-2}-8z^{6}+3a^{6}z^{4}-16a^{4}z^{4}+25a^{2}z^{4}+2z^{4}a^{-2}-11z^{4}+3a^{6}z^{2}-13a^{4}z^{2}+17a^{2}z^{2}-5z^{2}+a^{6}-4a^{4}+4a^{2}-a^{-2}+1$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 \text{QuantumGroups$\grave{ }$a}^3 z^{13}+2 \text{QuantumGroups$\grave{ }$a} z^{13}+10 \text{QuantumGroups$\grave{ }$a}^4 z^{12}+19 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+9 z^{12}+22 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+48 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+42 \text{QuantumGroups$\grave{ }$a} z^{11}+16 z^{11} $Failed^{-1} +28 \text{QuantumGroups$\grave{ }$a}^6 z^{10}+43 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+22 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+14 z^{10} $Failed^{-1} +21 z^{10}+23 \text{QuantumGroups$\grave{ }$a}^7 z^9-9 \text{QuantumGroups$\grave{ }$a}^5 z^9-106 \text{QuantumGroups$\grave{ }$a}^3 z^9-111 \text{QuantumGroups$\grave{ }$a} z^9-31 z^9 $Failed^{-1} +6 z^9 $Failed^{-1} +13 \text{QuantumGroups$\grave{ }$a}^8 z^8-48 \text{QuantumGroups$\grave{ }$a}^6 z^8-167 \text{QuantumGroups$\grave{ }$a}^4 z^8-195 \text{QuantumGroups$\grave{ }$a}^2 z^8-42 z^8 $Failed^{-1} +z^8 $Failed^{-1} -132 z^8+5 \text{QuantumGroups$\grave{ }$a}^9 z^7-41 \text{QuantumGroups$\grave{ }$a}^7 z^7-63 \text{QuantumGroups$\grave{ }$a}^5 z^7+22 \text{QuantumGroups$\grave{ }$a}^3 z^7+46 \text{QuantumGroups$\grave{ }$a} z^7-10 z^7 $Failed^{-1} -17 z^7 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^{10} z^6-19 \text{QuantumGroups$\grave{ }$a}^8 z^6+34 \text{QuantumGroups$\grave{ }$a}^6 z^6+198 \text{QuantumGroups$\grave{ }$a}^4 z^6+269 \text{QuantumGroups$\grave{ }$a}^2 z^6+41 z^6 $Failed^{-1} -2 z^6 $Failed^{-1} +168 z^6-6 \text{QuantumGroups$\grave{ }$a}^9 z^5+33 \text{QuantumGroups$\grave{ }$a}^7 z^5+97 \text{QuantumGroups$\grave{ }$a}^5 z^5+84 \text{QuantumGroups$\grave{ }$a}^3 z^5+53 \text{QuantumGroups$\grave{ }$a} z^5+42 z^5 $Failed^{-1} +15 z^5 $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^{10} z^4+9 \text{QuantumGroups$\grave{ }$a}^8 z^4-12 \text{QuantumGroups$\grave{ }$a}^6 z^4-108 \text{QuantumGroups$\grave{ }$a}^4 z^4-157 \text{QuantumGroups$\grave{ }$a}^2 z^4-15 z^4 $Failed^{-1} +z^4 $Failed^{-1} -87 z^4+\text{QuantumGroups$\grave{ }$a}^9 z^3-15 \text{QuantumGroups$\grave{ }$a}^7 z^3-53 \text{QuantumGroups$\grave{ }$a}^5 z^3-66 \text{QuantumGroups$\grave{ }$a}^3 z^3-45 \text{QuantumGroups$\grave{ }$a} z^3-19 z^3 $Failed^{-1} -3 z^3 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^8 z^2+4 \text{QuantumGroups$\grave{ }$a}^6 z^2+30 \text{QuantumGroups$\grave{ }$a}^4 z^2+41 \text{QuantumGroups$\grave{ }$a}^2 z^2+z^2 $Failed^{-1} +18 z^2+3 \text{QuantumGroups$\grave{ }$a}^7 z+11 \text{QuantumGroups$\grave{ }$a}^5 z+14 \text{QuantumGroups$\grave{ }$a}^3 z+8 \text{QuantumGroups$\grave{ }$a} z+z $Failed^{-1} -z $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^6-4 \text{QuantumGroups$\grave{ }$a}^4-4 \text{QuantumGroups$\grave{ }$a}^2+ $Failed^{-1} +1}

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