K14a13819

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a13819

Polynomial invariants

Jones polynomial	Data:K14a13819/Jones Polynomial
Alexander polynomial	$t^{5}-9t^{4}+36t^{3}-90t^{2}+157t-189+157t^{-1}-90t^{-2}+36t^{-3}-9t^{-4}+t^{-5}$
Conway polynomial	Data:K14a13819/Conway Polynomial
Determinant	Data:K14a13819/Determinant
Signature	Data:K14a13819/Signature
HOMFLY-PT polynomial	$a^{2}z^{10}-3a^{4}z^{8}+5a^{2}z^{8}-z^{8}+3a^{6}z^{6}-12a^{4}z^{6}+11a^{2}z^{6}-3z^{6}-a^{8}z^{4}+9a^{6}z^{4}-20a^{4}z^{4}+11a^{2}z^{4}-3z^{4}-2a^{8}z^{2}+12a^{6}z^{2}-15a^{4}z^{2}+7a^{2}z^{2}-2a^{8}+5a^{6}-5a^{4}+3a^{2}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 6 \text{QuantumGroups$\grave{ }$a}^5 z^{13}+6 \text{QuantumGroups$\grave{ }$a}^3 z^{13}+20 \text{QuantumGroups$\grave{ }$a}^6 z^{12}+42 \text{QuantumGroups$\grave{ }$a}^4 z^{12}+22 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+29 \text{QuantumGroups$\grave{ }$a}^7 z^{11}+59 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+64 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+34 \text{QuantumGroups$\grave{ }$a} z^{11}+25 \text{QuantumGroups$\grave{ }$a}^8 z^{10}+7 \text{QuantumGroups$\grave{ }$a}^6 z^{10}-41 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+7 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+30 z^{10}+14 \text{QuantumGroups$\grave{ }$a}^9 z^9-46 \text{QuantumGroups$\grave{ }$a}^7 z^9-166 \text{QuantumGroups$\grave{ }$a}^5 z^9-181 \text{QuantumGroups$\grave{ }$a}^3 z^9-58 \text{QuantumGroups$\grave{ }$a} z^9+17 z^9 $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^{10} z^8-51 \text{QuantumGroups$\grave{ }$a}^8 z^8-96 \text{QuantumGroups$\grave{ }$a}^6 z^8-82 \text{QuantumGroups$\grave{ }$a}^4 z^8-108 \text{QuantumGroups$\grave{ }$a}^2 z^8+6 z^8 $Failed^{-1} -60 z^8+\text{QuantumGroups$\grave{ }$a}^{11} z^7-28 \text{QuantumGroups$\grave{ }$a}^9 z^7+15 \text{QuantumGroups$\grave{ }$a}^7 z^7+157 \text{QuantumGroups$\grave{ }$a}^5 z^7+166 \text{QuantumGroups$\grave{ }$a}^3 z^7+21 \text{QuantumGroups$\grave{ }$a} z^7-31 z^7 $Failed^{-1} +z^7 $Failed^{-1} -9 \text{QuantumGroups$\grave{ }$a}^{10} z^6+46 \text{QuantumGroups$\grave{ }$a}^8 z^6+126 \text{QuantumGroups$\grave{ }$a}^6 z^6+151 \text{QuantumGroups$\grave{ }$a}^4 z^6+130 \text{QuantumGroups$\grave{ }$a}^2 z^6-9 z^6 $Failed^{-1} +41 z^6-2 \text{QuantumGroups$\grave{ }$a}^{11} z^5+24 \text{QuantumGroups$\grave{ }$a}^9 z^5+14 \text{QuantumGroups$\grave{ }$a}^7 z^5-71 \text{QuantumGroups$\grave{ }$a}^5 z^5-68 \text{QuantumGroups$\grave{ }$a}^3 z^5+9 \text{QuantumGroups$\grave{ }$a} z^5+17 z^5 $Failed^{-1} -z^5 $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^{10} z^4-25 \text{QuantumGroups$\grave{ }$a}^8 z^4-81 \text{QuantumGroups$\grave{ }$a}^6 z^4-101 \text{QuantumGroups$\grave{ }$a}^4 z^4-65 \text{QuantumGroups$\grave{ }$a}^2 z^4+3 z^4 $Failed^{-1} -12 z^4+\text{QuantumGroups$\grave{ }$a}^{11} z^3-12 \text{QuantumGroups$\grave{ }$a}^9 z^3-15 \text{QuantumGroups$\grave{ }$a}^7 z^3+15 \text{QuantumGroups$\grave{ }$a}^5 z^3+14 \text{QuantumGroups$\grave{ }$a}^3 z^3-6 \text{QuantumGroups$\grave{ }$a} z^3-3 z^3 $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^{10} z^2+8 \text{QuantumGroups$\grave{ }$a}^8 z^2+29 \text{QuantumGroups$\grave{ }$a}^6 z^2+36 \text{QuantumGroups$\grave{ }$a}^4 z^2+17 \text{QuantumGroups$\grave{ }$a}^2 z^2+z^2+3 \text{QuantumGroups$\grave{ }$a}^9 z+3 \text{QuantumGroups$\grave{ }$a}^7 z-\text{QuantumGroups$\grave{ }$a}^5 z-\text{QuantumGroups$\grave{ }$a}^3 z-2 \text{QuantumGroups$\grave{ }$a}^8-5 \text{QuantumGroups$\grave{ }$a}^6-5 \text{QuantumGroups$\grave{ }$a}^4-3 \text{QuantumGroups$\grave{ }$a}^2}

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