K14a5927

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a5927

Polynomial invariants

Jones polynomial	Data:K14a5927/Jones Polynomial
Alexander polynomial	$3t^{4}-22t^{3}+66t^{2}-115t+137-115t^{-1}+66t^{-2}-22t^{-3}+3t^{-4}$
Conway polynomial	Data:K14a5927/Conway Polynomial
Determinant	Data:K14a5927/Determinant
Signature	Data:K14a5927/Signature
HOMFLY-PT polynomial	$-z^{2}a^{8}-a^{8}+4z^{4}a^{6}+8z^{2}a^{6}+3a^{6}-5z^{6}a^{4}-14z^{4}a^{4}-10z^{2}a^{4}-2a^{4}+2z^{8}a^{2}+6z^{6}a^{2}+5z^{4}a^{2}-a^{2}+z^{8}+2z^{6}+z^{4}+2z^{2}+2-z^{6}a^{-2}-2z^{4}a^{-2}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 4 \text{QuantumGroups$\grave{ }$a}^5 z^{13}+4 \text{QuantumGroups$\grave{ }$a}^3 z^{13}+10 \text{QuantumGroups$\grave{ }$a}^6 z^{12}+28 \text{QuantumGroups$\grave{ }$a}^4 z^{12}+18 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+10 \text{QuantumGroups$\grave{ }$a}^7 z^{11}+23 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+49 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+36 \text{QuantumGroups$\grave{ }$a} z^{11}+5 \text{QuantumGroups$\grave{ }$a}^8 z^{10}-20 \text{QuantumGroups$\grave{ }$a}^6 z^{10}-62 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+7 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+44 z^{10}+\text{QuantumGroups$\grave{ }$a}^9 z^9-37 \text{QuantumGroups$\grave{ }$a}^7 z^9-128 \text{QuantumGroups$\grave{ }$a}^5 z^9-197 \text{QuantumGroups$\grave{ }$a}^3 z^9-69 \text{QuantumGroups$\grave{ }$a} z^9+38 z^9 $Failed^{-1} -21 \text{QuantumGroups$\grave{ }$a}^8 z^8-31 \text{QuantumGroups$\grave{ }$a}^6 z^8-42 \text{QuantumGroups$\grave{ }$a}^4 z^8-154 \text{QuantumGroups$\grave{ }$a}^2 z^8+25 z^8 $Failed^{-1} -97 z^8-4 \text{QuantumGroups$\grave{ }$a}^9 z^7+41 \text{QuantumGroups$\grave{ }$a}^7 z^7+171 \text{QuantumGroups$\grave{ }$a}^5 z^7+212 \text{QuantumGroups$\grave{ }$a}^3 z^7+4 \text{QuantumGroups$\grave{ }$a} z^7-69 z^7 $Failed^{-1} +13 z^7 $Failed^{-1} +32 \text{QuantumGroups$\grave{ }$a}^8 z^6+95 \text{QuantumGroups$\grave{ }$a}^6 z^6+166 \text{QuantumGroups$\grave{ }$a}^4 z^6+207 \text{QuantumGroups$\grave{ }$a}^2 z^6-30 z^6 $Failed^{-1} +5 z^6 $Failed^{-1} +69 z^6+6 \text{QuantumGroups$\grave{ }$a}^9 z^5-10 \text{QuantumGroups$\grave{ }$a}^7 z^5-82 \text{QuantumGroups$\grave{ }$a}^5 z^5-75 \text{QuantumGroups$\grave{ }$a}^3 z^5+42 \text{QuantumGroups$\grave{ }$a} z^5+41 z^5 $Failed^{-1} -9 z^5 $Failed^{-1} +z^5 $Failed^{-1} -21 \text{QuantumGroups$\grave{ }$a}^8 z^4-76 \text{QuantumGroups$\grave{ }$a}^6 z^4-123 \text{QuantumGroups$\grave{ }$a}^4 z^4-96 \text{QuantumGroups$\grave{ }$a}^2 z^4+8 z^4 $Failed^{-1} -2 z^4 $Failed^{-1} -18 z^4-4 \text{QuantumGroups$\grave{ }$a}^9 z^3-5 \text{QuantumGroups$\grave{ }$a}^7 z^3+12 \text{QuantumGroups$\grave{ }$a}^5 z^3+2 \text{QuantumGroups$\grave{ }$a}^3 z^3-18 \text{QuantumGroups$\grave{ }$a} z^3-7 z^3 $Failed^{-1} +6 \text{QuantumGroups$\grave{ }$a}^8 z^2+27 \text{QuantumGroups$\grave{ }$a}^6 z^2+33 \text{QuantumGroups$\grave{ }$a}^4 z^2+10 \text{QuantumGroups$\grave{ }$a}^2 z^2+z^2 $Failed^{-1} -z^2+\text{QuantumGroups$\grave{ }$a}^9 z+2 \text{QuantumGroups$\grave{ }$a}^7 z+\text{QuantumGroups$\grave{ }$a}^5 z+\text{QuantumGroups$\grave{ }$a}^3 z+\text{QuantumGroups$\grave{ }$a} z-\text{QuantumGroups$\grave{ }$a}^8-3 \text{QuantumGroups$\grave{ }$a}^6-2 \text{QuantumGroups$\grave{ }$a}^4+\text{QuantumGroups$\grave{ }$a}^2+2}

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