K14a2395

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a2395

Polynomial invariants

Jones polynomial	Data:K14a2395/Jones Polynomial
Alexander polynomial	$-t^{5}+9t^{4}-37t^{3}+93t^{2}-157t+187-157t^{-1}+93t^{-2}-37t^{-3}+9t^{-4}-t^{-5}$
Conway polynomial	Data:K14a2395/Conway Polynomial
Determinant	Data:K14a2395/Determinant
Signature	Data:K14a2395/Signature
HOMFLY-PT polynomial	$-z^{10}+2a^{2}z^{8}+2z^{8}a^{-2}-5z^{8}-a^{4}z^{6}+8a^{2}z^{6}+7z^{6}a^{-2}-z^{6}a^{-4}-13z^{6}-3a^{4}z^{4}+15a^{2}z^{4}+10z^{4}a^{-2}-2z^{4}a^{-4}-19z^{4}-4a^{4}z^{2}+14a^{2}z^{2}+6z^{2}a^{-2}-z^{2}a^{-4}-14z^{2}-2a^{4}+5a^{2}+a^{-2}-3$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 4 \text{QuantumGroups$\grave{ }$a} z^{13}+4 z^{13} $Failed^{-1} +17 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+17 z^{12} $Failed^{-1} +34 z^{12}+28 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+69 \text{QuantumGroups$\grave{ }$a} z^{11}+71 z^{11} $Failed^{-1} +30 z^{11} $Failed^{-1} +25 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+30 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+42 z^{10} $Failed^{-1} +29 z^{10} $Failed^{-1} +18 z^{10}+14 \text{QuantumGroups$\grave{ }$a}^5 z^9-38 \text{QuantumGroups$\grave{ }$a}^3 z^9-162 \text{QuantumGroups$\grave{ }$a} z^9-156 z^9 $Failed^{-1} -29 z^9 $Failed^{-1} +17 z^9 $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^6 z^8-51 \text{QuantumGroups$\grave{ }$a}^4 z^8-149 \text{QuantumGroups$\grave{ }$a}^2 z^8-174 z^8 $Failed^{-1} -53 z^8 $Failed^{-1} +6 z^8 $Failed^{-1} -208 z^8+\text{QuantumGroups$\grave{ }$a}^7 z^7-28 \text{QuantumGroups$\grave{ }$a}^5 z^7-\text{QuantumGroups$\grave{ }$a}^3 z^7+106 \text{QuantumGroups$\grave{ }$a} z^7+76 z^7 $Failed^{-1} -34 z^7 $Failed^{-1} -31 z^7 $Failed^{-1} +z^7 $Failed^{-1} -9 \text{QuantumGroups$\grave{ }$a}^6 z^6+50 \text{QuantumGroups$\grave{ }$a}^4 z^6+185 \text{QuantumGroups$\grave{ }$a}^2 z^6+179 z^6 $Failed^{-1} +36 z^6 $Failed^{-1} -9 z^6 $Failed^{-1} +260 z^6-2 \text{QuantumGroups$\grave{ }$a}^7 z^5+25 \text{QuantumGroups$\grave{ }$a}^5 z^5+34 \text{QuantumGroups$\grave{ }$a}^3 z^5-7 \text{QuantumGroups$\grave{ }$a} z^5+15 z^5 $Failed^{-1} +52 z^5 $Failed^{-1} +22 z^5 $Failed^{-1} -z^5 $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^6 z^4-30 \text{QuantumGroups$\grave{ }$a}^4 z^4-111 \text{QuantumGroups$\grave{ }$a}^2 z^4-84 z^4 $Failed^{-1} -12 z^4 $Failed^{-1} +4 z^4 $Failed^{-1} -144 z^4+\text{QuantumGroups$\grave{ }$a}^7 z^3-13 \text{QuantumGroups$\grave{ }$a}^5 z^3-25 \text{QuantumGroups$\grave{ }$a}^3 z^3-17 \text{QuantumGroups$\grave{ }$a} z^3-19 z^3 $Failed^{-1} -19 z^3 $Failed^{-1} -6 z^3 $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^6 z^2+11 \text{QuantumGroups$\grave{ }$a}^4 z^2+35 \text{QuantumGroups$\grave{ }$a}^2 z^2+18 z^2 $Failed^{-1} +3 z^2 $Failed^{-1} +38 z^2+3 \text{QuantumGroups$\grave{ }$a}^5 z+6 \text{QuantumGroups$\grave{ }$a}^3 z+5 \text{QuantumGroups$\grave{ }$a} z+3 z $Failed^{-1} +z $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^4-5 \text{QuantumGroups$\grave{ }$a}^2- $Failed^{-1} -3}

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