K14a2286

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a2286

Polynomial invariants

Jones polynomial	Data:K14a2286/Jones Polynomial
Alexander polynomial	$t^{5}-7t^{4}+25t^{3}-58t^{2}+95t-111+95t^{-1}-58t^{-2}+25t^{-3}-7t^{-4}+t^{-5}$
Conway polynomial	Data:K14a2286/Conway Polynomial
Determinant	Data:K14a2286/Determinant
Signature	Data:K14a2286/Signature
HOMFLY-PT polynomial	$a^{2}z^{10}-a^{4}z^{8}+7a^{2}z^{8}-3z^{8}-5a^{4}z^{6}+22a^{2}z^{6}+3z^{6}a^{-2}-16z^{6}-10a^{4}z^{4}+36a^{2}z^{4}+11z^{4}a^{-2}-z^{4}a^{-4}-34z^{4}-9a^{4}z^{2}+31a^{2}z^{2}+14z^{2}a^{-2}-2z^{2}a^{-4}-33z^{2}-4a^{4}+12a^{2}+6a^{-2}-a^{-4}-12$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 \text{QuantumGroups$\grave{ }$a} z^{13}+2 z^{13} $Failed^{-1} +11 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+7 z^{12} $Failed^{-1} +18 z^{12}+25 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+44 \text{QuantumGroups$\grave{ }$a} z^{11}+28 z^{11} $Failed^{-1} +9 z^{11} $Failed^{-1} +33 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+28 \text{QuantumGroups$\grave{ }$a}^2 z^{10}-4 z^{10} $Failed^{-1} +5 z^{10} $Failed^{-1} -14 z^{10}+29 \text{QuantumGroups$\grave{ }$a}^5 z^9-35 \text{QuantumGroups$\grave{ }$a}^3 z^9-155 \text{QuantumGroups$\grave{ }$a} z^9-126 z^9 $Failed^{-1} -34 z^9 $Failed^{-1} +z^9 $Failed^{-1} +19 \text{QuantumGroups$\grave{ }$a}^6 z^8-76 \text{QuantumGroups$\grave{ }$a}^4 z^8-186 \text{QuantumGroups$\grave{ }$a}^2 z^8-71 z^8 $Failed^{-1} -22 z^8 $Failed^{-1} -140 z^8+10 \text{QuantumGroups$\grave{ }$a}^7 z^7-60 \text{QuantumGroups$\grave{ }$a}^5 z^7-44 \text{QuantumGroups$\grave{ }$a}^3 z^7+136 \text{QuantumGroups$\grave{ }$a} z^7+151 z^7 $Failed^{-1} +37 z^7 $Failed^{-1} -4 z^7 $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^8 z^6-28 \text{QuantumGroups$\grave{ }$a}^6 z^6+70 \text{QuantumGroups$\grave{ }$a}^4 z^6+268 \text{QuantumGroups$\grave{ }$a}^2 z^6+151 z^6 $Failed^{-1} +35 z^6 $Failed^{-1} +282 z^6+\text{QuantumGroups$\grave{ }$a}^9 z^5-10 \text{QuantumGroups$\grave{ }$a}^7 z^5+57 \text{QuantumGroups$\grave{ }$a}^5 z^5+98 \text{QuantumGroups$\grave{ }$a}^3 z^5-11 \text{QuantumGroups$\grave{ }$a} z^5-51 z^5 $Failed^{-1} -4 z^5 $Failed^{-1} +6 z^5 $Failed^{-1} -3 \text{QuantumGroups$\grave{ }$a}^8 z^4+19 \text{QuantumGroups$\grave{ }$a}^6 z^4-40 \text{QuantumGroups$\grave{ }$a}^4 z^4-184 \text{QuantumGroups$\grave{ }$a}^2 z^4-114 z^4 $Failed^{-1} -24 z^4 $Failed^{-1} -212 z^4-\text{QuantumGroups$\grave{ }$a}^9 z^3+4 \text{QuantumGroups$\grave{ }$a}^7 z^3-27 \text{QuantumGroups$\grave{ }$a}^5 z^3-62 \text{QuantumGroups$\grave{ }$a}^3 z^3-32 \text{QuantumGroups$\grave{ }$a} z^3-9 z^3 $Failed^{-1} -11 z^3 $Failed^{-1} -4 z^3 $Failed^{-1} -4 \text{QuantumGroups$\grave{ }$a}^6 z^2+17 \text{QuantumGroups$\grave{ }$a}^4 z^2+67 \text{QuantumGroups$\grave{ }$a}^2 z^2+38 z^2 $Failed^{-1} +7 z^2 $Failed^{-1} +77 z^2+6 \text{QuantumGroups$\grave{ }$a}^5 z+13 \text{QuantumGroups$\grave{ }$a}^3 z+11 \text{QuantumGroups$\grave{ }$a} z+7 z $Failed^{-1} +4 z $Failed^{-1} +z $Failed^{-1} -4 \text{QuantumGroups$\grave{ }$a}^4-12 \text{QuantumGroups$\grave{ }$a}^2-6 $Failed^{-1} - $Failed^{-1} -12}

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