K14a5258

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a5258

Polynomial invariants

Jones polynomial	Data:K14a5258/Jones Polynomial
Alexander polynomial	$t^{5}-7t^{4}+20t^{3}-36t^{2}+50t-55+50t^{-1}-36t^{-2}+20t^{-3}-7t^{-4}+t^{-5}$
Conway polynomial	Data:K14a5258/Conway Polynomial
Determinant	Data:K14a5258/Determinant
Signature	Data:K14a5258/Signature
HOMFLY-PT polynomial	$a^{2}z^{10}-2a^{4}z^{8}+7a^{2}z^{8}-2z^{8}+a^{6}z^{6}-12a^{4}z^{6}+20a^{2}z^{6}+z^{6}a^{-2}-11z^{6}+5a^{6}z^{4}-25a^{4}z^{4}+30a^{2}z^{4}+4z^{4}a^{-2}-20z^{4}+7a^{6}z^{2}-21a^{4}z^{2}+23a^{2}z^{2}+4z^{2}a^{-2}-14z^{2}+2a^{6}-6a^{4}+7a^{2}+a^{-2}-3$
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 \text{QuantumGroups$\grave{ }$a}^3 z^{13}+\text{QuantumGroups$\grave{ }$a} z^{13}+4 \text{QuantumGroups$\grave{ }$a}^4 z^{12}+8 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+4 z^{12}+7 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+12 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+12 \text{QuantumGroups$\grave{ }$a} z^{11}+7 z^{11} $Failed^{-1} +8 \text{QuantumGroups$\grave{ }$a}^6 z^{10}-2 \text{QuantumGroups$\grave{ }$a}^4 z^{10}-20 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+7 z^{10} $Failed^{-1} -3 z^{10}+7 \text{QuantumGroups$\grave{ }$a}^7 z^9-18 \text{QuantumGroups$\grave{ }$a}^5 z^9-59 \text{QuantumGroups$\grave{ }$a}^3 z^9-62 \text{QuantumGroups$\grave{ }$a} z^9-24 z^9 $Failed^{-1} +4 z^9 $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^8 z^8-22 \text{QuantumGroups$\grave{ }$a}^6 z^8-26 \text{QuantumGroups$\grave{ }$a}^4 z^8-4 \text{QuantumGroups$\grave{ }$a}^2 z^8-29 z^8 $Failed^{-1} +z^8 $Failed^{-1} -35 z^8+3 \text{QuantumGroups$\grave{ }$a}^9 z^7-17 \text{QuantumGroups$\grave{ }$a}^7 z^7+19 \text{QuantumGroups$\grave{ }$a}^5 z^7+108 \text{QuantumGroups$\grave{ }$a}^3 z^7+104 \text{QuantumGroups$\grave{ }$a} z^7+18 z^7 $Failed^{-1} -17 z^7 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^{10} z^6-11 \text{QuantumGroups$\grave{ }$a}^8 z^6+29 \text{QuantumGroups$\grave{ }$a}^6 z^6+69 \text{QuantumGroups$\grave{ }$a}^4 z^6+62 \text{QuantumGroups$\grave{ }$a}^2 z^6+35 z^6 $Failed^{-1} -4 z^6 $Failed^{-1} +73 z^6-8 \text{QuantumGroups$\grave{ }$a}^9 z^5+16 \text{QuantumGroups$\grave{ }$a}^7 z^5-\text{QuantumGroups$\grave{ }$a}^5 z^5-88 \text{QuantumGroups$\grave{ }$a}^3 z^5-82 \text{QuantumGroups$\grave{ }$a} z^5+z^5 $Failed^{-1} +20 z^5 $Failed^{-1} -3 \text{QuantumGroups$\grave{ }$a}^{10} z^4+5 \text{QuantumGroups$\grave{ }$a}^8 z^4-19 \text{QuantumGroups$\grave{ }$a}^6 z^4-64 \text{QuantumGroups$\grave{ }$a}^4 z^4-78 \text{QuantumGroups$\grave{ }$a}^2 z^4-17 z^4 $Failed^{-1} +4 z^4 $Failed^{-1} -62 z^4+5 \text{QuantumGroups$\grave{ }$a}^9 z^3-8 \text{QuantumGroups$\grave{ }$a}^7 z^3-2 \text{QuantumGroups$\grave{ }$a}^5 z^3+31 \text{QuantumGroups$\grave{ }$a}^3 z^3+23 \text{QuantumGroups$\grave{ }$a} z^3-4 z^3 $Failed^{-1} -7 z^3 $Failed^{-1} +2 \text{QuantumGroups$\grave{ }$a}^{10} z^2-\text{QuantumGroups$\grave{ }$a}^8 z^2+8 \text{QuantumGroups$\grave{ }$a}^6 z^2+32 \text{QuantumGroups$\grave{ }$a}^4 z^2+36 \text{QuantumGroups$\grave{ }$a}^2 z^2+6 z^2 $Failed^{-1} -z^2 $Failed^{-1} +22 z^2-\text{QuantumGroups$\grave{ }$a}^9 z+\text{QuantumGroups$\grave{ }$a}^5 z-2 \text{QuantumGroups$\grave{ }$a}^3 z-2 \text{QuantumGroups$\grave{ }$a} z+z $Failed^{-1} +z $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^6-6 \text{QuantumGroups$\grave{ }$a}^4-7 \text{QuantumGroups$\grave{ }$a}^2- $Failed^{-1} -3}

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