K14a14293

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a14293

Polynomial invariants

Jones polynomial	Data:K14a14293/Jones Polynomial
Alexander polynomial	$-5t^{4}+29t^{3}-68t^{2}+100t-111+100t^{-1}-68t^{-2}+29t^{-3}-5t^{-4}$
Conway polynomial	Data:K14a14293/Conway Polynomial
Determinant	Data:K14a14293/Determinant
Signature	Data:K14a14293/Signature
HOMFLY-PT polynomial	$z^{6}a^{12}+z^{4}a^{12}-3z^{2}a^{12}-a^{12}-z^{8}a^{10}+9z^{4}a^{10}+8z^{2}a^{10}-3z^{8}a^{8}-12z^{6}a^{8}-14z^{4}a^{8}-6z^{2}a^{8}-z^{8}a^{6}-z^{6}a^{6}+7z^{4}a^{6}+9z^{2}a^{6}+2a^{6}+z^{6}a^{4}+3z^{4}a^{4}+z^{2}a^{4}$
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 z^6 \text{QuantumGroups$\grave{ }$a}^{18}+6 z^7 \text{QuantumGroups$\grave{ }$a}^{17}-5 z^5 \text{QuantumGroups$\grave{ }$a}^{17}+z \text{QuantumGroups$\grave{ }$a}^{17}+16 z^8 \text{QuantumGroups$\grave{ }$a}^{16}-21 z^6 \text{QuantumGroups$\grave{ }$a}^{16}+4 z^4 \text{QuantumGroups$\grave{ }$a}^{16}+z^2 \text{QuantumGroups$\grave{ }$a}^{16}+26 z^9 \text{QuantumGroups$\grave{ }$a}^{15}-41 z^7 \text{QuantumGroups$\grave{ }$a}^{15}+14 z^5 \text{QuantumGroups$\grave{ }$a}^{15}-2 z^3 \text{QuantumGroups$\grave{ }$a}^{15}+29 z^{10} \text{QuantumGroups$\grave{ }$a}^{14}-46 z^8 \text{QuantumGroups$\grave{ }$a}^{14}+13 z^6 \text{QuantumGroups$\grave{ }$a}^{14}+2 z^4 \text{QuantumGroups$\grave{ }$a}^{14}-2 z^2 \text{QuantumGroups$\grave{ }$a}^{14}+24 z^{11} \text{QuantumGroups$\grave{ }$a}^{13}-34 z^9 \text{QuantumGroups$\grave{ }$a}^{13}+2 z^7 \text{QuantumGroups$\grave{ }$a}^{13}+10 z^5 \text{QuantumGroups$\grave{ }$a}^{13}-5 z^3 \text{QuantumGroups$\grave{ }$a}^{13}+2 z \text{QuantumGroups$\grave{ }$a}^{13}+14 z^{12} \text{QuantumGroups$\grave{ }$a}^{12}-6 z^{10} \text{QuantumGroups$\grave{ }$a}^{12}-36 z^8 \text{QuantumGroups$\grave{ }$a}^{12}+40 z^6 \text{QuantumGroups$\grave{ }$a}^{12}-10 z^4 \text{QuantumGroups$\grave{ }$a}^{12}+4 z^2 \text{QuantumGroups$\grave{ }$a}^{12}-\text{QuantumGroups$\grave{ }$a}^{12}+4 z^{13} \text{QuantumGroups$\grave{ }$a}^{11}+28 z^{11} \text{QuantumGroups$\grave{ }$a}^{11}-112 z^9 \text{QuantumGroups$\grave{ }$a}^{11}+150 z^7 \text{QuantumGroups$\grave{ }$a}^{11}-84 z^5 \text{QuantumGroups$\grave{ }$a}^{11}+22 z^3 \text{QuantumGroups$\grave{ }$a}^{11}-2 z \text{QuantumGroups$\grave{ }$a}^{11}+25 z^{12} \text{QuantumGroups$\grave{ }$a}^{10}-73 z^{10} \text{QuantumGroups$\grave{ }$a}^{10}+69 z^8 \text{QuantumGroups$\grave{ }$a}^{10}-3 z^6 \text{QuantumGroups$\grave{ }$a}^{10}-20 z^4 \text{QuantumGroups$\grave{ }$a}^{10}+6 z^2 \text{QuantumGroups$\grave{ }$a}^{10}+4 z^{13} \text{QuantumGroups$\grave{ }$a}^9+17 z^{11} \text{QuantumGroups$\grave{ }$a}^9-106 z^9 \text{QuantumGroups$\grave{ }$a}^9+185 z^7 \text{QuantumGroups$\grave{ }$a}^9-140 z^5 \text{QuantumGroups$\grave{ }$a}^9+45 z^3 \text{QuantumGroups$\grave{ }$a}^9-6 z \text{QuantumGroups$\grave{ }$a}^9+11 z^{12} \text{QuantumGroups$\grave{ }$a}^8-29 z^{10} \text{QuantumGroups$\grave{ }$a}^8+7 z^8 \text{QuantumGroups$\grave{ }$a}^8+40 z^6 \text{QuantumGroups$\grave{ }$a}^8-46 z^4 \text{QuantumGroups$\grave{ }$a}^8+13 z^2 \text{QuantumGroups$\grave{ }$a}^8+13 z^{11} \text{QuantumGroups$\grave{ }$a}^7-50 z^9 \text{QuantumGroups$\grave{ }$a}^7+69 z^7 \text{QuantumGroups$\grave{ }$a}^7-51 z^5 \text{QuantumGroups$\grave{ }$a}^7+17 z^3 \text{QuantumGroups$\grave{ }$a}^7-z \text{QuantumGroups$\grave{ }$a}^7+9 z^{10} \text{QuantumGroups$\grave{ }$a}^6-35 z^8 \text{QuantumGroups$\grave{ }$a}^6+44 z^6 \text{QuantumGroups$\grave{ }$a}^6-30 z^4 \text{QuantumGroups$\grave{ }$a}^6+13 z^2 \text{QuantumGroups$\grave{ }$a}^6-2 \text{QuantumGroups$\grave{ }$a}^6+4 z^9 \text{QuantumGroups$\grave{ }$a}^5-15 z^7 \text{QuantumGroups$\grave{ }$a}^5+14 z^5 \text{QuantumGroups$\grave{ }$a}^5-3 z^3 \text{QuantumGroups$\grave{ }$a}^5+z^8 \text{QuantumGroups$\grave{ }$a}^4-4 z^6 \text{QuantumGroups$\grave{ }$a}^4+4 z^4 \text{QuantumGroups$\grave{ }$a}^4-z^2 \text{QuantumGroups$\grave{ }$a}^4}

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