K14a3276

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a3276

Polynomial invariants

Jones polynomial	Data:K14a3276/Jones Polynomial
Alexander polynomial	$4t^{3}-25t^{2}+64t-85+64t^{-1}-25t^{-2}+4t^{-3}$
Conway polynomial	Data:K14a3276/Conway Polynomial
Determinant	Data:K14a3276/Determinant
Signature	Data:K14a3276/Signature
HOMFLY-PT polynomial	$-a^{10}+3z^{2}a^{8}+3a^{8}-3z^{4}a^{6}-4z^{2}a^{6}-3a^{6}+z^{6}a^{4}-z^{4}a^{4}-z^{2}a^{4}+a^{4}+2z^{6}a^{2}+3z^{4}a^{2}+2z^{2}a^{2}+z^{6}+z^{4}+z^{2}+1-z^{4}a^{-2}-z^{2}a^{-2}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle \text{QuantumGroups$\grave{ }$a}^5 z^{13}+\text{QuantumGroups$\grave{ }$a}^3 z^{13}+3 \text{QuantumGroups$\grave{ }$a}^6 z^{12}+7 \text{QuantumGroups$\grave{ }$a}^4 z^{12}+4 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+4 \text{QuantumGroups$\grave{ }$a}^7 z^{11}+6 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+9 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+7 \text{QuantumGroups$\grave{ }$a} z^{11}+4 \text{QuantumGroups$\grave{ }$a}^8 z^{10}-6 \text{QuantumGroups$\grave{ }$a}^6 z^{10}-23 \text{QuantumGroups$\grave{ }$a}^4 z^{10}-5 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+8 z^{10}+4 \text{QuantumGroups$\grave{ }$a}^9 z^9-9 \text{QuantumGroups$\grave{ }$a}^7 z^9-34 \text{QuantumGroups$\grave{ }$a}^5 z^9-46 \text{QuantumGroups$\grave{ }$a}^3 z^9-18 \text{QuantumGroups$\grave{ }$a} z^9+7 z^9 $Failed^{-1} +3 \text{QuantumGroups$\grave{ }$a}^{10} z^8-7 \text{QuantumGroups$\grave{ }$a}^8 z^8+6 \text{QuantumGroups$\grave{ }$a}^6 z^8+32 \text{QuantumGroups$\grave{ }$a}^4 z^8-9 \text{QuantumGroups$\grave{ }$a}^2 z^8+4 z^8 $Failed^{-1} -21 z^8+\text{QuantumGroups$\grave{ }$a}^{11} z^7-12 \text{QuantumGroups$\grave{ }$a}^9 z^7+6 \text{QuantumGroups$\grave{ }$a}^7 z^7+77 \text{QuantumGroups$\grave{ }$a}^5 z^7+95 \text{QuantumGroups$\grave{ }$a}^3 z^7+15 \text{QuantumGroups$\grave{ }$a} z^7-21 z^7 $Failed^{-1} +z^7 $Failed^{-1} -12 \text{QuantumGroups$\grave{ }$a}^{10} z^6-10 \text{QuantumGroups$\grave{ }$a}^8 z^6-5 \text{QuantumGroups$\grave{ }$a}^6 z^6-4 \text{QuantumGroups$\grave{ }$a}^4 z^6+26 \text{QuantumGroups$\grave{ }$a}^2 z^6-13 z^6 $Failed^{-1} +10 z^6-4 \text{QuantumGroups$\grave{ }$a}^{11} z^5+7 \text{QuantumGroups$\grave{ }$a}^9 z^5-2 \text{QuantumGroups$\grave{ }$a}^7 z^5-74 \text{QuantumGroups$\grave{ }$a}^5 z^5-89 \text{QuantumGroups$\grave{ }$a}^3 z^5-10 \text{QuantumGroups$\grave{ }$a} z^5+15 z^5 $Failed^{-1} -3 z^5 $Failed^{-1} +14 \text{QuantumGroups$\grave{ }$a}^{10} z^4+25 \text{QuantumGroups$\grave{ }$a}^8 z^4+12 \text{QuantumGroups$\grave{ }$a}^6 z^4-13 \text{QuantumGroups$\grave{ }$a}^4 z^4-22 \text{QuantumGroups$\grave{ }$a}^2 z^4+11 z^4 $Failed^{-1} +3 z^4+4 \text{QuantumGroups$\grave{ }$a}^{11} z^3+\text{QuantumGroups$\grave{ }$a}^9 z^3+\text{QuantumGroups$\grave{ }$a}^7 z^3+32 \text{QuantumGroups$\grave{ }$a}^5 z^3+39 \text{QuantumGroups$\grave{ }$a}^3 z^3+6 \text{QuantumGroups$\grave{ }$a} z^3-3 z^3 $Failed^{-1} +2 z^3 $Failed^{-1} -6 \text{QuantumGroups$\grave{ }$a}^{10} z^2-16 \text{QuantumGroups$\grave{ }$a}^8 z^2-12 \text{QuantumGroups$\grave{ }$a}^6 z^2+4 \text{QuantumGroups$\grave{ }$a}^4 z^2+6 \text{QuantumGroups$\grave{ }$a}^2 z^2-3 z^2 $Failed^{-1} -3 z^2-\text{QuantumGroups$\grave{ }$a}^{11} z-\text{QuantumGroups$\grave{ }$a}^9 z-\text{QuantumGroups$\grave{ }$a}^7 z-5 \text{QuantumGroups$\grave{ }$a}^5 z-6 \text{QuantumGroups$\grave{ }$a}^3 z-2 \text{QuantumGroups$\grave{ }$a} z+\text{QuantumGroups$\grave{ }$a}^{10}+3 \text{QuantumGroups$\grave{ }$a}^8+3 \text{QuantumGroups$\grave{ }$a}^6+\text{QuantumGroups$\grave{ }$a}^4+1}

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