K14a1501

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a1501

Polynomial invariants

Jones polynomial	Data:K14a1501/Jones Polynomial
Alexander polynomial	$-2t^{4}+17t^{3}-62t^{2}+128t-161+128t^{-1}-62t^{-2}+17t^{-3}-2t^{-4}$
Conway polynomial	Data:K14a1501/Conway Polynomial
Determinant	Data:K14a1501/Determinant
Signature	Data:K14a1501/Signature
HOMFLY-PT polynomial	$z^{2}a^{10}+a^{10}-3z^{4}a^{8}-5z^{2}a^{8}-3a^{8}+3z^{6}a^{6}+6z^{4}a^{6}+6z^{2}a^{6}+2a^{6}-z^{8}a^{4}-z^{6}a^{4}-z^{4}a^{4}+a^{4}-z^{8}a^{2}-2z^{6}a^{2}-3z^{4}a^{2}-2z^{2}a^{2}-a^{2}+z^{6}+z^{4}+z^{2}+1$
Kauffman polynomial	Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 2 \text{QuantumGroups$\grave{ }$a}^7 z^{13}+2 \text{QuantumGroups$\grave{ }$a}^5 z^{13}+7 \text{QuantumGroups$\grave{ }$a}^8 z^{12}+18 \text{QuantumGroups$\grave{ }$a}^6 z^{12}+11 \text{QuantumGroups$\grave{ }$a}^4 z^{12}+10 \text{QuantumGroups$\grave{ }$a}^9 z^{11}+30 \text{QuantumGroups$\grave{ }$a}^7 z^{11}+46 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+26 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+8 \text{QuantumGroups$\grave{ }$a}^{10} z^{10}+6 \text{QuantumGroups$\grave{ }$a}^8 z^{10}+3 \text{QuantumGroups$\grave{ }$a}^6 z^{10}+41 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+36 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+4 \text{QuantumGroups$\grave{ }$a}^{11} z^9-23 \text{QuantumGroups$\grave{ }$a}^9 z^9-94 \text{QuantumGroups$\grave{ }$a}^7 z^9-108 \text{QuantumGroups$\grave{ }$a}^5 z^9-9 \text{QuantumGroups$\grave{ }$a}^3 z^9+32 \text{QuantumGroups$\grave{ }$a} z^9+\text{QuantumGroups$\grave{ }$a}^{12} z^8-26 \text{QuantumGroups$\grave{ }$a}^{10} z^8-71 \text{QuantumGroups$\grave{ }$a}^8 z^8-120 \text{QuantumGroups$\grave{ }$a}^6 z^8-146 \text{QuantumGroups$\grave{ }$a}^4 z^8-52 \text{QuantumGroups$\grave{ }$a}^2 z^8+18 z^8-15 \text{QuantumGroups$\grave{ }$a}^{11} z^7+5 \text{QuantumGroups$\grave{ }$a}^9 z^7+87 \text{QuantumGroups$\grave{ }$a}^7 z^7+59 \text{QuantumGroups$\grave{ }$a}^5 z^7-64 \text{QuantumGroups$\grave{ }$a}^3 z^7-50 \text{QuantumGroups$\grave{ }$a} z^7+6 z^7 $Failed^{-1} -4 \text{QuantumGroups$\grave{ }$a}^{12} z^6+28 \text{QuantumGroups$\grave{ }$a}^{10} z^6+114 \text{QuantumGroups$\grave{ }$a}^8 z^6+183 \text{QuantumGroups$\grave{ }$a}^6 z^6+136 \text{QuantumGroups$\grave{ }$a}^4 z^6+13 \text{QuantumGroups$\grave{ }$a}^2 z^6+z^6 $Failed^{-1} -21 z^6+19 \text{QuantumGroups$\grave{ }$a}^{11} z^5+21 \text{QuantumGroups$\grave{ }$a}^9 z^5-14 \text{QuantumGroups$\grave{ }$a}^7 z^5+15 \text{QuantumGroups$\grave{ }$a}^5 z^5+59 \text{QuantumGroups$\grave{ }$a}^3 z^5+25 \text{QuantumGroups$\grave{ }$a} z^5-3 z^5 $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^{12} z^4-15 \text{QuantumGroups$\grave{ }$a}^{10} z^4-78 \text{QuantumGroups$\grave{ }$a}^8 z^4-102 \text{QuantumGroups$\grave{ }$a}^6 z^4-50 \text{QuantumGroups$\grave{ }$a}^4 z^4+\text{QuantumGroups$\grave{ }$a}^2 z^4+7 z^4-11 \text{QuantumGroups$\grave{ }$a}^{11} z^3-22 \text{QuantumGroups$\grave{ }$a}^9 z^3-14 \text{QuantumGroups$\grave{ }$a}^7 z^3-12 \text{QuantumGroups$\grave{ }$a}^5 z^3-17 \text{QuantumGroups$\grave{ }$a}^3 z^3-8 \text{QuantumGroups$\grave{ }$a} z^3-2 \text{QuantumGroups$\grave{ }$a}^{12} z^2+5 \text{QuantumGroups$\grave{ }$a}^{10} z^2+23 \text{QuantumGroups$\grave{ }$a}^8 z^2+23 \text{QuantumGroups$\grave{ }$a}^6 z^2+6 \text{QuantumGroups$\grave{ }$a}^4 z^2-3 \text{QuantumGroups$\grave{ }$a}^2 z^2-2 z^2+3 \text{QuantumGroups$\grave{ }$a}^{11} z+7 \text{QuantumGroups$\grave{ }$a}^9 z+4 \text{QuantumGroups$\grave{ }$a}^7 z+\text{QuantumGroups$\grave{ }$a}^5 z+2 \text{QuantumGroups$\grave{ }$a}^3 z+\text{QuantumGroups$\grave{ }$a} z-\text{QuantumGroups$\grave{ }$a}^{10}-3 \text{QuantumGroups$\grave{ }$a}^8-2 \text{QuantumGroups$\grave{ }$a}^6+\text{QuantumGroups$\grave{ }$a}^4+\text{QuantumGroups$\grave{ }$a}^2+1}

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