K14a2858

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a2858

Polynomial invariants

Jones polynomial	Data:K14a2858/Jones Polynomial
Alexander polynomial	$t^{5}-8t^{4}+30t^{3}-69t^{2}+112t-131+112t^{-1}-69t^{-2}+30t^{-3}-8t^{-4}+t^{-5}$
Conway polynomial	Data:K14a2858/Conway Polynomial
Determinant	Data:K14a2858/Determinant
Signature	Data:K14a2858/Signature
HOMFLY-PT polynomial	$a^{2}z^{10}-3a^{4}z^{8}+6a^{2}z^{8}-z^{8}+3a^{6}z^{6}-14a^{4}z^{6}+16a^{2}z^{6}-4z^{6}-a^{8}z^{4}+10a^{6}z^{4}-24a^{4}z^{4}+22a^{2}z^{4}-6z^{4}-2a^{8}z^{2}+10a^{6}z^{2}-16a^{4}z^{2}+15a^{2}z^{2}-4z^{2}-a^{8}+2a^{6}-3a^{4}+4a^{2}-1$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 \text{QuantumGroups$\grave{ }$a}^5 z^{13}+2 \text{QuantumGroups$\grave{ }$a}^3 z^{13}+8 \text{QuantumGroups$\grave{ }$a}^6 z^{12}+18 \text{QuantumGroups$\grave{ }$a}^4 z^{12}+10 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+15 \text{QuantumGroups$\grave{ }$a}^7 z^{11}+36 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+41 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+20 \text{QuantumGroups$\grave{ }$a} z^{11}+17 \text{QuantumGroups$\grave{ }$a}^8 z^{10}+25 \text{QuantumGroups$\grave{ }$a}^6 z^{10}+7 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+20 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+21 z^{10}+12 \text{QuantumGroups$\grave{ }$a}^9 z^9-10 \text{QuantumGroups$\grave{ }$a}^7 z^9-83 \text{QuantumGroups$\grave{ }$a}^5 z^9-112 \text{QuantumGroups$\grave{ }$a}^3 z^9-38 \text{QuantumGroups$\grave{ }$a} z^9+13 z^9 $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^{10} z^8-34 \text{QuantumGroups$\grave{ }$a}^8 z^8-98 \text{QuantumGroups$\grave{ }$a}^6 z^8-115 \text{QuantumGroups$\grave{ }$a}^4 z^8-118 \text{QuantumGroups$\grave{ }$a}^2 z^8+5 z^8 $Failed^{-1} -57 z^8+\text{QuantumGroups$\grave{ }$a}^{11} z^7-28 \text{QuantumGroups$\grave{ }$a}^9 z^7-33 \text{QuantumGroups$\grave{ }$a}^7 z^7+59 \text{QuantumGroups$\grave{ }$a}^5 z^7+108 \text{QuantumGroups$\grave{ }$a}^3 z^7+11 \text{QuantumGroups$\grave{ }$a} z^7-33 z^7 $Failed^{-1} +z^7 $Failed^{-1} -11 \text{QuantumGroups$\grave{ }$a}^{10} z^6+22 \text{QuantumGroups$\grave{ }$a}^8 z^6+112 \text{QuantumGroups$\grave{ }$a}^6 z^6+183 \text{QuantumGroups$\grave{ }$a}^4 z^6+175 \text{QuantumGroups$\grave{ }$a}^2 z^6-11 z^6 $Failed^{-1} +60 z^6-2 \text{QuantumGroups$\grave{ }$a}^{11} z^5+23 \text{QuantumGroups$\grave{ }$a}^9 z^5+42 \text{QuantumGroups$\grave{ }$a}^7 z^5-14 \text{QuantumGroups$\grave{ }$a}^5 z^5-37 \text{QuantumGroups$\grave{ }$a}^3 z^5+22 \text{QuantumGroups$\grave{ }$a} z^5+26 z^5 $Failed^{-1} -2 z^5 $Failed^{-1} +7 \text{QuantumGroups$\grave{ }$a}^{10} z^4-9 \text{QuantumGroups$\grave{ }$a}^8 z^4-68 \text{QuantumGroups$\grave{ }$a}^6 z^4-129 \text{QuantumGroups$\grave{ }$a}^4 z^4-114 \text{QuantumGroups$\grave{ }$a}^2 z^4+4 z^4 $Failed^{-1} -33 z^4+\text{QuantumGroups$\grave{ }$a}^{11} z^3-9 \text{QuantumGroups$\grave{ }$a}^9 z^3-16 \text{QuantumGroups$\grave{ }$a}^7 z^3-15 \text{QuantumGroups$\grave{ }$a} z^3-9 z^3 $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^{10} z^2+5 \text{QuantumGroups$\grave{ }$a}^8 z^2+22 \text{QuantumGroups$\grave{ }$a}^6 z^2+40 \text{QuantumGroups$\grave{ }$a}^4 z^2+34 \text{QuantumGroups$\grave{ }$a}^2 z^2+10 z^2+2 \text{QuantumGroups$\grave{ }$a}^9 z+\text{QuantumGroups$\grave{ }$a}^7 z-\text{QuantumGroups$\grave{ }$a}^5 z+\text{QuantumGroups$\grave{ }$a}^3 z+2 \text{QuantumGroups$\grave{ }$a} z+z $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^8-2 \text{QuantumGroups$\grave{ }$a}^6-3 \text{QuantumGroups$\grave{ }$a}^4-4 \text{QuantumGroups$\grave{ }$a}^2-1}

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