K14a14276

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a14276

Polynomial invariants

Jones polynomial	Data:K14a14276/Jones Polynomial
Alexander polynomial	$4t^{4}-19t^{3}+44t^{2}-65t+73-65t^{-1}+44t^{-2}-19t^{-3}+4t^{-4}$
Conway polynomial	Data:K14a14276/Conway Polynomial
Determinant	Data:K14a14276/Determinant
Signature	Data:K14a14276/Signature
HOMFLY-PT polynomial	$-z^{6}a^{8}-3z^{4}a^{8}-3z^{2}a^{8}-2a^{8}+z^{8}a^{6}+3z^{6}a^{6}+3z^{4}a^{6}+5z^{2}a^{6}+4a^{6}+2z^{8}a^{4}+8z^{6}a^{4}+8z^{4}a^{4}-z^{2}a^{4}-4a^{4}+z^{8}a^{2}+4z^{6}a^{2}+6z^{4}a^{2}+7z^{2}a^{2}+4a^{2}-z^{6}-4z^{4}-4z^{2}-1$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle z^5 \text{QuantumGroups$\grave{ }$a}^{13}-z^3 \text{QuantumGroups$\grave{ }$a}^{13}+4 z^6 \text{QuantumGroups$\grave{ }$a}^{12}-3 z^4 \text{QuantumGroups$\grave{ }$a}^{12}+10 z^7 \text{QuantumGroups$\grave{ }$a}^{11}-12 z^5 \text{QuantumGroups$\grave{ }$a}^{11}+7 z^3 \text{QuantumGroups$\grave{ }$a}^{11}-2 z \text{QuantumGroups$\grave{ }$a}^{11}+17 z^8 \text{QuantumGroups$\grave{ }$a}^{10}-27 z^6 \text{QuantumGroups$\grave{ }$a}^{10}+19 z^4 \text{QuantumGroups$\grave{ }$a}^{10}-4 z^2 \text{QuantumGroups$\grave{ }$a}^{10}+21 z^9 \text{QuantumGroups$\grave{ }$a}^9-38 z^7 \text{QuantumGroups$\grave{ }$a}^9+25 z^5 \text{QuantumGroups$\grave{ }$a}^9-2 z^3 \text{QuantumGroups$\grave{ }$a}^9+20 z^{10} \text{QuantumGroups$\grave{ }$a}^8-41 z^8 \text{QuantumGroups$\grave{ }$a}^8+36 z^6 \text{QuantumGroups$\grave{ }$a}^8-21 z^4 \text{QuantumGroups$\grave{ }$a}^8+9 z^2 \text{QuantumGroups$\grave{ }$a}^8-2 \text{QuantumGroups$\grave{ }$a}^8+14 z^{11} \text{QuantumGroups$\grave{ }$a}^7-25 z^9 \text{QuantumGroups$\grave{ }$a}^7+13 z^7 \text{QuantumGroups$\grave{ }$a}^7-5 z^5 \text{QuantumGroups$\grave{ }$a}^7-4 z^3 \text{QuantumGroups$\grave{ }$a}^7+2 z \text{QuantumGroups$\grave{ }$a}^7+7 z^{12} \text{QuantumGroups$\grave{ }$a}^6-4 z^{10} \text{QuantumGroups$\grave{ }$a}^6-22 z^8 \text{QuantumGroups$\grave{ }$a}^6+32 z^6 \text{QuantumGroups$\grave{ }$a}^6-34 z^4 \text{QuantumGroups$\grave{ }$a}^6+17 z^2 \text{QuantumGroups$\grave{ }$a}^6-4 \text{QuantumGroups$\grave{ }$a}^6+2 z^{13} \text{QuantumGroups$\grave{ }$a}^5+10 z^{11} \text{QuantumGroups$\grave{ }$a}^5-45 z^9 \text{QuantumGroups$\grave{ }$a}^5+57 z^7 \text{QuantumGroups$\grave{ }$a}^5-41 z^5 \text{QuantumGroups$\grave{ }$a}^5+10 z^3 \text{QuantumGroups$\grave{ }$a}^5+11 z^{12} \text{QuantumGroups$\grave{ }$a}^4-41 z^{10} \text{QuantumGroups$\grave{ }$a}^4+64 z^8 \text{QuantumGroups$\grave{ }$a}^4-65 z^6 \text{QuantumGroups$\grave{ }$a}^4+27 z^4 \text{QuantumGroups$\grave{ }$a}^4+7 z^2 \text{QuantumGroups$\grave{ }$a}^4-4 \text{QuantumGroups$\grave{ }$a}^4+2 z^{13} \text{QuantumGroups$\grave{ }$a}^3-17 z^9 \text{QuantumGroups$\grave{ }$a}^3+19 z^7 \text{QuantumGroups$\grave{ }$a}^3-2 z^5 \text{QuantumGroups$\grave{ }$a}^3-2 z^3 \text{QuantumGroups$\grave{ }$a}^3+2 z \text{QuantumGroups$\grave{ }$a}^3+4 z^{12} \text{QuantumGroups$\grave{ }$a}^2-14 z^{10} \text{QuantumGroups$\grave{ }$a}^2+11 z^8 \text{QuantumGroups$\grave{ }$a}^2+3 z^6 \text{QuantumGroups$\grave{ }$a}^2-8 z^4 \text{QuantumGroups$\grave{ }$a}^2+11 z^2 \text{QuantumGroups$\grave{ }$a}^2-4 \text{QuantumGroups$\grave{ }$a}^2+4 z^{11} \text{QuantumGroups$\grave{ }$a}-17 z^9 \text{QuantumGroups$\grave{ }$a}+17 z^7 \text{QuantumGroups$\grave{ }$a}+8 z^5 \text{QuantumGroups$\grave{ }$a}-15 z^3 \text{QuantumGroups$\grave{ }$a}+4 z \text{QuantumGroups$\grave{ }$a}+3 z^{10}-17 z^8+33 z^6-26 z^4+8 z^2-1+z^9 $Failed^{-1} -6 z^7 $Failed^{-1} +12 z^5 $Failed^{-1} -9 z^3 $Failed^{-1} +2 z $Failed^{-1} }

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