K14a5155

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a5155

Polynomial invariants

Jones polynomial	Data:K14a5155/Jones Polynomial
Alexander polynomial	$-2t^{4}+18t^{3}-70t^{2}+148t-187+148t^{-1}-70t^{-2}+18t^{-3}-2t^{-4}$
Conway polynomial	Data:K14a5155/Conway Polynomial
Determinant	Data:K14a5155/Determinant
Signature	Data:K14a5155/Signature
HOMFLY-PT polynomial	$z^{2}a^{8}-3z^{4}a^{6}-2z^{2}a^{6}+3z^{6}a^{4}+3z^{4}a^{4}+z^{2}a^{4}+a^{4}-z^{8}a^{2}+z^{4}a^{2}-a^{2}-z^{8}-2z^{6}-4z^{4}-3z^{2}+z^{6}a^{-2}+z^{4}a^{-2}+z^{2}a^{-2}+a^{-2}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 4 \text{QuantumGroups$\grave{ }$a}^3 z^{13}+4 \text{QuantumGroups$\grave{ }$a} z^{13}+15 \text{QuantumGroups$\grave{ }$a}^4 z^{12}+30 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+15 z^{12}+26 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+51 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+47 \text{QuantumGroups$\grave{ }$a} z^{11}+22 z^{11} $Failed^{-1} +29 \text{QuantumGroups$\grave{ }$a}^6 z^{10}+25 \text{QuantumGroups$\grave{ }$a}^4 z^{10}-22 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+16 z^{10} $Failed^{-1} -2 z^{10}+23 \text{QuantumGroups$\grave{ }$a}^7 z^9-18 \text{QuantumGroups$\grave{ }$a}^5 z^9-129 \text{QuantumGroups$\grave{ }$a}^3 z^9-150 \text{QuantumGroups$\grave{ }$a} z^9-56 z^9 $Failed^{-1} +6 z^9 $Failed^{-1} +13 \text{QuantumGroups$\grave{ }$a}^8 z^8-40 \text{QuantumGroups$\grave{ }$a}^6 z^8-113 \text{QuantumGroups$\grave{ }$a}^4 z^8-101 \text{QuantumGroups$\grave{ }$a}^2 z^8-46 z^8 $Failed^{-1} +z^8 $Failed^{-1} -88 z^8+5 \text{QuantumGroups$\grave{ }$a}^9 z^7-35 \text{QuantumGroups$\grave{ }$a}^7 z^7-38 \text{QuantumGroups$\grave{ }$a}^5 z^7+75 \text{QuantumGroups$\grave{ }$a}^3 z^7+125 \text{QuantumGroups$\grave{ }$a} z^7+37 z^7 $Failed^{-1} -15 z^7 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^{10} z^6-18 \text{QuantumGroups$\grave{ }$a}^8 z^6+14 \text{QuantumGroups$\grave{ }$a}^6 z^6+100 \text{QuantumGroups$\grave{ }$a}^4 z^6+133 \text{QuantumGroups$\grave{ }$a}^2 z^6+43 z^6 $Failed^{-1} -2 z^6 $Failed^{-1} +111 z^6-6 \text{QuantumGroups$\grave{ }$a}^9 z^5+24 \text{QuantumGroups$\grave{ }$a}^7 z^5+52 \text{QuantumGroups$\grave{ }$a}^5 z^5+8 \text{QuantumGroups$\grave{ }$a}^3 z^5-29 \text{QuantumGroups$\grave{ }$a} z^5-4 z^5 $Failed^{-1} +11 z^5 $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^{10} z^4+11 \text{QuantumGroups$\grave{ }$a}^8 z^4+8 \text{QuantumGroups$\grave{ }$a}^6 z^4-25 \text{QuantumGroups$\grave{ }$a}^4 z^4-46 \text{QuantumGroups$\grave{ }$a}^2 z^4-16 z^4 $Failed^{-1} +z^4 $Failed^{-1} -42 z^4+2 \text{QuantumGroups$\grave{ }$a}^9 z^3-7 \text{QuantumGroups$\grave{ }$a}^7 z^3-21 \text{QuantumGroups$\grave{ }$a}^5 z^3-18 \text{QuantumGroups$\grave{ }$a}^3 z^3-4 \text{QuantumGroups$\grave{ }$a} z^3-2 z^3 $Failed^{-1} -3 \text{QuantumGroups$\grave{ }$a}^8 z^2-5 \text{QuantumGroups$\grave{ }$a}^6 z^2-4 \text{QuantumGroups$\grave{ }$a}^4 z^2-\text{QuantumGroups$\grave{ }$a}^2 z^2+3 z^2 $Failed^{-1} +4 z^2+\text{QuantumGroups$\grave{ }$a}^7 z+3 \text{QuantumGroups$\grave{ }$a}^5 z+5 \text{QuantumGroups$\grave{ }$a}^3 z+3 \text{QuantumGroups$\grave{ }$a} z+\text{QuantumGroups$\grave{ }$a}^4+\text{QuantumGroups$\grave{ }$a}^2- $Failed^{-1} }

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