K14a17982

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a17982

Polynomial invariants

Jones polynomial	Data:K14a17982/Jones Polynomial
Alexander polynomial	$-2t^{4}+19t^{3}-69t^{2}+137t-169+137t^{-1}-69t^{-2}+19t^{-3}-2t^{-4}$
Conway polynomial	Data:K14a17982/Conway Polynomial
Determinant	Data:K14a17982/Determinant
Signature	Data:K14a17982/Signature
HOMFLY-PT polynomial	$-z^{8}a^{-2}-z^{8}a^{-4}-z^{6}a^{-2}+2z^{6}a^{-6}+2z^{6}-a^{2}z^{4}-2z^{4}a^{-2}+4z^{4}a^{-4}+2z^{4}a^{-6}-z^{4}a^{-8}+3z^{4}-a^{2}z^{2}-5z^{2}a^{-2}+6z^{2}a^{-4}-z^{2}a^{-6}-z^{2}a^{-8}+2z^{2}-3a^{-2}+3a^{-4}-a^{-6}+2$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 5 z^{13} $Failed^{-1} +5 z^{13} $Failed^{-1} +15 z^{12} $Failed^{-1} +31 z^{12} $Failed^{-1} +16 z^{12} $Failed^{-1} +21 z^{11} $Failed^{-1} +31 z^{11} $Failed^{-1} +33 z^{11} $Failed^{-1} +23 z^{11} $Failed^{-1} -10 z^{10} $Failed^{-1} -63 z^{10} $Failed^{-1} -13 z^{10} $Failed^{-1} +21 z^{10} $Failed^{-1} +19 z^{10}+12 \text{QuantumGroups$\grave{ }$a} z^9-39 z^9 $Failed^{-1} -102 z^9 $Failed^{-1} -109 z^9 $Failed^{-1} -45 z^9 $Failed^{-1} +13 z^9 $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^2 z^8-27 z^8 $Failed^{-1} +54 z^8 $Failed^{-1} -14 z^8 $Failed^{-1} -45 z^8 $Failed^{-1} +5 z^8 $Failed^{-1} -40 z^8+\text{QuantumGroups$\grave{ }$a}^3 z^7-26 \text{QuantumGroups$\grave{ }$a} z^7+19 z^7 $Failed^{-1} +123 z^7 $Failed^{-1} +143 z^7 $Failed^{-1} +37 z^7 $Failed^{-1} -28 z^7 $Failed^{-1} +z^7 $Failed^{-1} -11 \text{QuantumGroups$\grave{ }$a}^2 z^6+32 z^6 $Failed^{-1} -36 z^6 $Failed^{-1} +11 z^6 $Failed^{-1} +34 z^6 $Failed^{-1} -10 z^6 $Failed^{-1} +24 z^6-2 \text{QuantumGroups$\grave{ }$a}^3 z^5+16 \text{QuantumGroups$\grave{ }$a} z^5+z^5 $Failed^{-1} -78 z^5 $Failed^{-1} -114 z^5 $Failed^{-1} -31 z^5 $Failed^{-1} +20 z^5 $Failed^{-1} -2 z^5 $Failed^{-1} +7 \text{QuantumGroups$\grave{ }$a}^2 z^4+2 z^4 $Failed^{-1} +28 z^4 $Failed^{-1} -3 z^4 $Failed^{-1} -14 z^4 $Failed^{-1} +6 z^4 $Failed^{-1} -2 z^4+\text{QuantumGroups$\grave{ }$a}^3 z^3-4 \text{QuantumGroups$\grave{ }$a} z^3+z^3 $Failed^{-1} +34 z^3 $Failed^{-1} +51 z^3 $Failed^{-1} +17 z^3 $Failed^{-1} -5 z^3 $Failed^{-1} +z^3 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^2 z^2-11 z^2 $Failed^{-1} -14 z^2 $Failed^{-1} -z^2 $Failed^{-1} +3 z^2 $Failed^{-1} -z^2 $Failed^{-1} -4 z^2-2 z $Failed^{-1} -8 z $Failed^{-1} -10 z $Failed^{-1} -4 z $Failed^{-1} +3 $Failed^{-1} +3 $Failed^{-1} + $Failed^{-1} +2}

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