K14a12848

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a12848

Polynomial invariants

Jones polynomial	Data:K14a12848/Jones Polynomial
Alexander polynomial	$t^{5}-8t^{4}+28t^{3}-60t^{2}+92t-105+92t^{-1}-60t^{-2}+28t^{-3}-8t^{-4}+t^{-5}$
Conway polynomial	Data:K14a12848/Conway Polynomial
Determinant	Data:K14a12848/Determinant
Signature	Data:K14a12848/Signature
HOMFLY-PT polynomial	$z^{10}a^{-2}+6z^{8}a^{-2}-z^{8}a^{-4}-3z^{8}+3a^{2}z^{6}+16z^{6}a^{-2}-4z^{6}a^{-4}-16z^{6}-a^{4}z^{4}+14a^{2}z^{4}+24z^{4}a^{-2}-6z^{4}a^{-4}-33z^{4}-4a^{4}z^{2}+22a^{2}z^{2}+19z^{2}a^{-2}-4z^{2}a^{-4}-32z^{2}-4a^{4}+12a^{2}+6a^{-2}-a^{-4}-12$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 \text{QuantumGroups$\grave{ }$a} z^{13}+2 z^{13} $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+11 z^{12} $Failed^{-1} +16 z^{12}+5 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+15 \text{QuantumGroups$\grave{ }$a} z^{11}+37 z^{11} $Failed^{-1} +27 z^{11} $Failed^{-1} +3 \text{QuantumGroups$\grave{ }$a}^4 z^{10}-9 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+26 z^{10} $Failed^{-1} +40 z^{10} $Failed^{-1} -26 z^{10}+\text{QuantumGroups$\grave{ }$a}^5 z^9-19 \text{QuantumGroups$\grave{ }$a}^3 z^9-76 \text{QuantumGroups$\grave{ }$a} z^9-122 z^9 $Failed^{-1} -26 z^9 $Failed^{-1} +40 z^9 $Failed^{-1} -15 \text{QuantumGroups$\grave{ }$a}^4 z^8-21 \text{QuantumGroups$\grave{ }$a}^2 z^8-143 z^8 $Failed^{-1} -71 z^8 $Failed^{-1} +28 z^8 $Failed^{-1} -50 z^8-6 \text{QuantumGroups$\grave{ }$a}^5 z^7+19 \text{QuantumGroups$\grave{ }$a}^3 z^7+105 \text{QuantumGroups$\grave{ }$a} z^7+105 z^7 $Failed^{-1} -59 z^7 $Failed^{-1} -70 z^7 $Failed^{-1} +14 z^7 $Failed^{-1} +27 \text{QuantumGroups$\grave{ }$a}^4 z^6+66 \text{QuantumGroups$\grave{ }$a}^2 z^6+158 z^6 $Failed^{-1} +25 z^6 $Failed^{-1} -36 z^6 $Failed^{-1} +5 z^6 $Failed^{-1} +131 z^6+13 \text{QuantumGroups$\grave{ }$a}^5 z^5+5 \text{QuantumGroups$\grave{ }$a}^3 z^5-51 \text{QuantumGroups$\grave{ }$a} z^5-15 z^5 $Failed^{-1} +81 z^5 $Failed^{-1} +43 z^5 $Failed^{-1} -9 z^5 $Failed^{-1} +z^5 $Failed^{-1} -23 \text{QuantumGroups$\grave{ }$a}^4 z^4-69 \text{QuantumGroups$\grave{ }$a}^2 z^4-78 z^4 $Failed^{-1} +6 z^4 $Failed^{-1} +18 z^4 $Failed^{-1} -z^4 $Failed^{-1} -111 z^4-12 \text{QuantumGroups$\grave{ }$a}^5 z^3-17 \text{QuantumGroups$\grave{ }$a}^3 z^3-3 \text{QuantumGroups$\grave{ }$a} z^3-22 z^3 $Failed^{-1} -38 z^3 $Failed^{-1} -12 z^3 $Failed^{-1} +2 z^3 $Failed^{-1} +12 \text{QuantumGroups$\grave{ }$a}^4 z^2+40 \text{QuantumGroups$\grave{ }$a}^2 z^2+24 z^2 $Failed^{-1} -2 z^2 $Failed^{-1} -3 z^2 $Failed^{-1} +51 z^2+4 \text{QuantumGroups$\grave{ }$a}^5 z+8 \text{QuantumGroups$\grave{ }$a}^3 z+9 \text{QuantumGroups$\grave{ }$a} z+11 z $Failed^{-1} +8 z $Failed^{-1} +2 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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