K14a6230

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a6230

Polynomial invariants

Jones polynomial	Data:K14a6230/Jones Polynomial
Alexander polynomial	$t^{5}-9t^{4}+38t^{3}-102t^{2}+184t-223+184t^{-1}-102t^{-2}+38t^{-3}-9t^{-4}+t^{-5}$
Conway polynomial	Data:K14a6230/Conway Polynomial
Determinant	Data:K14a6230/Determinant
Signature	Data:K14a6230/Signature
HOMFLY-PT polynomial	$z^{10}a^{-2}+5z^{8}a^{-2}-3z^{8}a^{-4}-z^{8}+11z^{6}a^{-2}-10z^{6}a^{-4}+3z^{6}a^{-6}-3z^{6}+7z^{4}a^{-2}-12z^{4}a^{-4}+5z^{4}a^{-6}-z^{4}a^{-8}-3z^{4}-4z^{2}a^{-2}-z^{2}a^{-4}+2z^{2}a^{-6}+2z^{2}-5a^{-2}+4a^{-4}-a^{-6}+3$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 7 z^{13} $Failed^{-1} +7 z^{13} $Failed^{-1} +25 z^{12} $Failed^{-1} +52 z^{12} $Failed^{-1} +27 z^{12} $Failed^{-1} +37 z^{11} $Failed^{-1} +82 z^{11} $Failed^{-1} +89 z^{11} $Failed^{-1} +44 z^{11} $Failed^{-1} +15 z^{10} $Failed^{-1} -28 z^{10} $Failed^{-1} +28 z^{10} $Failed^{-1} +40 z^{10} $Failed^{-1} +31 z^{10}+17 \text{QuantumGroups$\grave{ }$a} z^9-58 z^9 $Failed^{-1} -220 z^9 $Failed^{-1} -228 z^9 $Failed^{-1} -61 z^9 $Failed^{-1} +22 z^9 $Failed^{-1} +6 \text{QuantumGroups$\grave{ }$a}^2 z^8-133 z^8 $Failed^{-1} -169 z^8 $Failed^{-1} -178 z^8 $Failed^{-1} -72 z^8 $Failed^{-1} +7 z^8 $Failed^{-1} -57 z^8+\text{QuantumGroups$\grave{ }$a}^3 z^7-29 \text{QuantumGroups$\grave{ }$a} z^7+22 z^7 $Failed^{-1} +179 z^7 $Failed^{-1} +153 z^7 $Failed^{-1} -8 z^7 $Failed^{-1} -33 z^7 $Failed^{-1} +z^7 $Failed^{-1} -9 \text{QuantumGroups$\grave{ }$a}^2 z^6+147 z^6 $Failed^{-1} +226 z^6 $Failed^{-1} +170 z^6 $Failed^{-1} +38 z^6 $Failed^{-1} -6 z^6 $Failed^{-1} +38 z^6-\text{QuantumGroups$\grave{ }$a}^3 z^5+17 \text{QuantumGroups$\grave{ }$a} z^5+6 z^5 $Failed^{-1} -46 z^5 $Failed^{-1} -15 z^5 $Failed^{-1} +31 z^5 $Failed^{-1} +12 z^5 $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^2 z^4-51 z^4 $Failed^{-1} -85 z^4 $Failed^{-1} -51 z^4 $Failed^{-1} -6 z^4 $Failed^{-1} -7 z^4-3 \text{QuantumGroups$\grave{ }$a} z^3-8 z^3 $Failed^{-1} -5 z^3 $Failed^{-1} -8 z^3 $Failed^{-1} -8 z^3 $Failed^{-1} -9 z^2 $Failed^{-1} -z^2 $Failed^{-1} +z^2 $Failed^{-1} -z^2 $Failed^{-1} -6 z^2+2 z $Failed^{-1} +3 z $Failed^{-1} +z $Failed^{-1} +5 $Failed^{-1} +4 $Failed^{-1} + $Failed^{-1} +3}

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