K14a2832

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a2832

Polynomial invariants

Jones polynomial	Data:K14a2832/Jones Polynomial
Alexander polynomial	$t^{5}-8t^{4}+31t^{3}-73t^{2}+119t-139+119t^{-1}-73t^{-2}+31t^{-3}-8t^{-4}+t^{-5}$
Conway polynomial	Data:K14a2832/Conway Polynomial
Determinant	Data:K14a2832/Determinant
Signature	Data:K14a2832/Signature
HOMFLY-PT polynomial	$a^{2}z^{10}-2a^{4}z^{8}+6a^{2}z^{8}-2z^{8}+a^{6}z^{6}-9a^{4}z^{6}+17a^{2}z^{6}+z^{6}a^{-2}-8z^{6}+3a^{6}z^{4}-16a^{4}z^{4}+25a^{2}z^{4}+2z^{4}a^{-2}-11z^{4}+3a^{6}z^{2}-13a^{4}z^{2}+18a^{2}z^{2}-5z^{2}+a^{6}-5a^{4}+6a^{2}-a^{-2}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 \text{QuantumGroups$\grave{ }$a}^3 z^{13}+2 \text{QuantumGroups$\grave{ }$a} z^{13}+10 \text{QuantumGroups$\grave{ }$a}^4 z^{12}+19 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+9 z^{12}+22 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+48 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+42 \text{QuantumGroups$\grave{ }$a} z^{11}+16 z^{11} $Failed^{-1} +28 \text{QuantumGroups$\grave{ }$a}^6 z^{10}+44 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+23 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+14 z^{10} $Failed^{-1} +21 z^{10}+23 \text{QuantumGroups$\grave{ }$a}^7 z^9-7 \text{QuantumGroups$\grave{ }$a}^5 z^9-101 \text{QuantumGroups$\grave{ }$a}^3 z^9-108 \text{QuantumGroups$\grave{ }$a} z^9-31 z^9 $Failed^{-1} +6 z^9 $Failed^{-1} +13 \text{QuantumGroups$\grave{ }$a}^8 z^8-47 \text{QuantumGroups$\grave{ }$a}^6 z^8-166 \text{QuantumGroups$\grave{ }$a}^4 z^8-192 \text{QuantumGroups$\grave{ }$a}^2 z^8-42 z^8 $Failed^{-1} +z^8 $Failed^{-1} -129 z^8+5 \text{QuantumGroups$\grave{ }$a}^9 z^7-41 \text{QuantumGroups$\grave{ }$a}^7 z^7-69 \text{QuantumGroups$\grave{ }$a}^5 z^7+7 \text{QuantumGroups$\grave{ }$a}^3 z^7+38 \text{QuantumGroups$\grave{ }$a} z^7-9 z^7 $Failed^{-1} -17 z^7 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^{10} z^6-19 \text{QuantumGroups$\grave{ }$a}^8 z^6+32 \text{QuantumGroups$\grave{ }$a}^6 z^6+188 \text{QuantumGroups$\grave{ }$a}^4 z^6+253 \text{QuantumGroups$\grave{ }$a}^2 z^6+41 z^6 $Failed^{-1} -2 z^6 $Failed^{-1} +160 z^6-6 \text{QuantumGroups$\grave{ }$a}^9 z^5+34 \text{QuantumGroups$\grave{ }$a}^7 z^5+104 \text{QuantumGroups$\grave{ }$a}^5 z^5+99 \text{QuantumGroups$\grave{ }$a}^3 z^5+62 \text{QuantumGroups$\grave{ }$a} z^5+42 z^5 $Failed^{-1} +15 z^5 $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^{10} z^4+9 \text{QuantumGroups$\grave{ }$a}^8 z^4-10 \text{QuantumGroups$\grave{ }$a}^6 z^4-95 \text{QuantumGroups$\grave{ }$a}^4 z^4-139 \text{QuantumGroups$\grave{ }$a}^2 z^4-14 z^4 $Failed^{-1} +z^4 $Failed^{-1} -79 z^4+\text{QuantumGroups$\grave{ }$a}^9 z^3-16 \text{QuantumGroups$\grave{ }$a}^7 z^3-56 \text{QuantumGroups$\grave{ }$a}^5 z^3-74 \text{QuantumGroups$\grave{ }$a}^3 z^3-53 \text{QuantumGroups$\grave{ }$a} z^3-21 z^3 $Failed^{-1} -3 z^3 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^8 z^2+3 \text{QuantumGroups$\grave{ }$a}^6 z^2+26 \text{QuantumGroups$\grave{ }$a}^4 z^2+35 \text{QuantumGroups$\grave{ }$a}^2 z^2+z^2 $Failed^{-1} +15 z^2+3 \text{QuantumGroups$\grave{ }$a}^7 z+13 \text{QuantumGroups$\grave{ }$a}^5 z+18 \text{QuantumGroups$\grave{ }$a}^3 z+11 \text{QuantumGroups$\grave{ }$a} z+2 z $Failed^{-1} -z $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^6-5 \text{QuantumGroups$\grave{ }$a}^4-6 \text{QuantumGroups$\grave{ }$a}^2+ $Failed^{-1} }

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