K14a6194

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a6194

Polynomial invariants

Jones polynomial	Data:K14a6194/Jones Polynomial
Alexander polynomial	$-t^{5}+9t^{4}-38t^{3}+98t^{2}-169t+203-169t^{-1}+98t^{-2}-38t^{-3}+9t^{-4}-t^{-5}$
Conway polynomial	Data:K14a6194/Conway Polynomial
Determinant	Data:K14a6194/Determinant
Signature	Data:K14a6194/Signature
HOMFLY-PT polynomial	$-z^{10}+3a^{2}z^{8}+z^{8}a^{-2}-5z^{8}-3a^{4}z^{6}+10a^{2}z^{6}+3z^{6}a^{-2}-11z^{6}+a^{6}z^{4}-6a^{4}z^{4}+11a^{2}z^{4}+3z^{4}a^{-2}-9z^{4}+a^{6}z^{2}-3a^{4}z^{2}+3a^{2}z^{2}-z^{2}+1$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 6 \text{QuantumGroups$\grave{ }$a}^3 z^{13}+6 \text{QuantumGroups$\grave{ }$a} z^{13}+20 \text{QuantumGroups$\grave{ }$a}^4 z^{12}+46 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+26 z^{12}+26 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+68 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+90 \text{QuantumGroups$\grave{ }$a} z^{11}+48 z^{11} $Failed^{-1} +17 \text{QuantumGroups$\grave{ }$a}^6 z^{10}+2 \text{QuantumGroups$\grave{ }$a}^4 z^{10}-23 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+51 z^{10} $Failed^{-1} +43 z^{10}+6 \text{QuantumGroups$\grave{ }$a}^7 z^9-58 \text{QuantumGroups$\grave{ }$a}^5 z^9-207 \text{QuantumGroups$\grave{ }$a}^3 z^9-233 \text{QuantumGroups$\grave{ }$a} z^9-54 z^9 $Failed^{-1} +36 z^9 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^8 z^8-44 \text{QuantumGroups$\grave{ }$a}^6 z^8-119 \text{QuantumGroups$\grave{ }$a}^4 z^8-191 \text{QuantumGroups$\grave{ }$a}^2 z^8-82 z^8 $Failed^{-1} +18 z^8 $Failed^{-1} -217 z^8-14 \text{QuantumGroups$\grave{ }$a}^7 z^7+35 \text{QuantumGroups$\grave{ }$a}^5 z^7+165 \text{QuantumGroups$\grave{ }$a}^3 z^7+145 \text{QuantumGroups$\grave{ }$a} z^7-26 z^7 $Failed^{-1} -49 z^7 $Failed^{-1} +6 z^7 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^8 z^6+44 \text{QuantumGroups$\grave{ }$a}^6 z^6+154 \text{QuantumGroups$\grave{ }$a}^4 z^6+254 \text{QuantumGroups$\grave{ }$a}^2 z^6+50 z^6 $Failed^{-1} -17 z^6 $Failed^{-1} +z^6 $Failed^{-1} +214 z^6+12 \text{QuantumGroups$\grave{ }$a}^7 z^5-\text{QuantumGroups$\grave{ }$a}^5 z^5-38 \text{QuantumGroups$\grave{ }$a}^3 z^5-3 \text{QuantumGroups$\grave{ }$a} z^5+51 z^5 $Failed^{-1} +26 z^5 $Failed^{-1} -3 z^5 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^8 z^4-21 \text{QuantumGroups$\grave{ }$a}^6 z^4-73 \text{QuantumGroups$\grave{ }$a}^4 z^4-109 \text{QuantumGroups$\grave{ }$a}^2 z^4-13 z^4 $Failed^{-1} +5 z^4 $Failed^{-1} -76 z^4-4 \text{QuantumGroups$\grave{ }$a}^7 z^3-3 \text{QuantumGroups$\grave{ }$a}^5 z^3-12 \text{QuantumGroups$\grave{ }$a} z^3-16 z^3 $Failed^{-1} -5 z^3 $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^6 z^2+13 \text{QuantumGroups$\grave{ }$a}^4 z^2+15 \text{QuantumGroups$\grave{ }$a}^2 z^2+z^2 $Failed^{-1} +7 z^2+1}

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