K14a1154

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a1154

Polynomial invariants

Jones polynomial	Data:K14a1154/Jones Polynomial
Alexander polynomial	$3t^{4}-20t^{3}+64t^{2}-122t+151-122t^{-1}+64t^{-2}-20t^{-3}+3t^{-4}$
Conway polynomial	Data:K14a1154/Conway Polynomial
Determinant	Data:K14a1154/Determinant
Signature	Data:K14a1154/Signature
HOMFLY-PT polynomial	$2a^{2}z^{8}+z^{8}-3a^{4}z^{6}+8a^{2}z^{6}-2z^{6}a^{-2}+z^{6}+a^{6}z^{4}-9a^{4}z^{4}+16a^{2}z^{4}-4z^{4}a^{-2}+z^{4}a^{-4}-z^{4}+2a^{6}z^{2}-11a^{4}z^{2}+16a^{2}z^{2}-3z^{2}a^{-2}+z^{2}a^{-4}-3z^{2}+a^{6}-5a^{4}+7a^{2}-2$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 \text{QuantumGroups$\grave{ }$a}^3 z^{13}+2 \text{QuantumGroups$\grave{ }$a} z^{13}+8 \text{QuantumGroups$\grave{ }$a}^4 z^{12}+17 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+9 z^{12}+13 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+34 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+39 \text{QuantumGroups$\grave{ }$a} z^{11}+18 z^{11} $Failed^{-1} +11 \text{QuantumGroups$\grave{ }$a}^6 z^{10}+16 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+17 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+22 z^{10} $Failed^{-1} +34 z^{10}+5 \text{QuantumGroups$\grave{ }$a}^7 z^9-22 \text{QuantumGroups$\grave{ }$a}^5 z^9-81 \text{QuantumGroups$\grave{ }$a}^3 z^9-71 \text{QuantumGroups$\grave{ }$a} z^9+2 z^9 $Failed^{-1} +19 z^9 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^8 z^8-32 \text{QuantumGroups$\grave{ }$a}^6 z^8-102 \text{QuantumGroups$\grave{ }$a}^4 z^8-148 \text{QuantumGroups$\grave{ }$a}^2 z^8-22 z^8 $Failed^{-1} +12 z^8 $Failed^{-1} -113 z^8-16 \text{QuantumGroups$\grave{ }$a}^7 z^7-19 \text{QuantumGroups$\grave{ }$a}^5 z^7+8 \text{QuantumGroups$\grave{ }$a}^3 z^7-23 \text{QuantumGroups$\grave{ }$a} z^7-65 z^7 $Failed^{-1} -26 z^7 $Failed^{-1} +5 z^7 $Failed^{-1} -3 \text{QuantumGroups$\grave{ }$a}^8 z^6+31 \text{QuantumGroups$\grave{ }$a}^6 z^6+127 \text{QuantumGroups$\grave{ }$a}^4 z^6+184 \text{QuantumGroups$\grave{ }$a}^2 z^6-10 z^6 $Failed^{-1} -18 z^6 $Failed^{-1} +z^6 $Failed^{-1} +100 z^6+19 \text{QuantumGroups$\grave{ }$a}^7 z^5+55 \text{QuantumGroups$\grave{ }$a}^5 z^5+79 \text{QuantumGroups$\grave{ }$a}^3 z^5+104 \text{QuantumGroups$\grave{ }$a} z^5+80 z^5 $Failed^{-1} +12 z^5 $Failed^{-1} -7 z^5 $Failed^{-1} +3 \text{QuantumGroups$\grave{ }$a}^8 z^4-12 \text{QuantumGroups$\grave{ }$a}^6 z^4-72 \text{QuantumGroups$\grave{ }$a}^4 z^4-102 \text{QuantumGroups$\grave{ }$a}^2 z^4+23 z^4 $Failed^{-1} +11 z^4 $Failed^{-1} -z^4 $Failed^{-1} -34 z^4-10 \text{QuantumGroups$\grave{ }$a}^7 z^3-38 \text{QuantumGroups$\grave{ }$a}^5 z^3-64 \text{QuantumGroups$\grave{ }$a}^3 z^3-69 \text{QuantumGroups$\grave{ }$a} z^3-38 z^3 $Failed^{-1} -2 z^3 $Failed^{-1} +3 z^3 $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^8 z^2+3 \text{QuantumGroups$\grave{ }$a}^6 z^2+25 \text{QuantumGroups$\grave{ }$a}^4 z^2+34 \text{QuantumGroups$\grave{ }$a}^2 z^2-8 z^2 $Failed^{-1} -3 z^2 $Failed^{-1} +8 z^2+2 \text{QuantumGroups$\grave{ }$a}^7 z+10 \text{QuantumGroups$\grave{ }$a}^5 z+17 \text{QuantumGroups$\grave{ }$a}^3 z+15 \text{QuantumGroups$\grave{ }$a} z+7 z $Failed^{-1} +z $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^6-5 \text{QuantumGroups$\grave{ }$a}^4-7 \text{QuantumGroups$\grave{ }$a}^2-2}

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