K14n6290

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Polynomial invariants

Jones polynomial Data:K14n6290/Jones Polynomial
Alexander polynomial [math]\displaystyle{ 2 t^4-11 t^3+29 t^2-49 t+59-49 t^{-1} +29 t^{-2} -11 t^{-3} +2 t^{-4} }[/math]
Conway polynomial Data:K14n6290/Conway Polynomial
Determinant Data:K14n6290/Determinant
Signature Data:K14n6290/Signature
HOMFLY-PT polynomial [math]\displaystyle{ 2 a^2 z^8-3 a^4 z^6+10 a^2 z^6-2 z^6+a^6 z^4-11 a^4 z^4+18 a^2 z^4-5 z^4+3 a^6 z^2-13 a^4 z^2+13 a^2 z^2-z^2 a^{-2} -2 z^2+2 a^6-5 a^4+3 a^2- a^{-2} +2 }[/math]
Kauffman polynomial [math]\displaystyle{ 3 \text{QuantumGroups$\grave{ }$a}^4 z^{12}+3 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+8 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+18 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+10 \text{QuantumGroups$\grave{ }$a} z^{11}+8 \text{QuantumGroups$\grave{ }$a}^6 z^{10}+12 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+15 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+11 z^{10}+4 \text{QuantumGroups$\grave{ }$a}^7 z^9-21 \text{QuantumGroups$\grave{ }$a}^5 z^9-60 \text{QuantumGroups$\grave{ }$a}^3 z^9-31 \text{QuantumGroups$\grave{ }$a} z^9+4 z^9 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^8 z^8-29 \text{QuantumGroups$\grave{ }$a}^6 z^8-80 \text{QuantumGroups$\grave{ }$a}^4 z^8-95 \text{QuantumGroups$\grave{ }$a}^2 z^8-45 z^8-15 \text{QuantumGroups$\grave{ }$a}^7 z^7+3 \text{QuantumGroups$\grave{ }$a}^5 z^7+57 \text{QuantumGroups$\grave{ }$a}^3 z^7+28 \text{QuantumGroups$\grave{ }$a} z^7-11 z^7 $Failed^{-1} -4 \text{QuantumGroups$\grave{ }$a}^8 z^6+33 \text{QuantumGroups$\grave{ }$a}^6 z^6+120 \text{QuantumGroups$\grave{ }$a}^4 z^6+159 \text{QuantumGroups$\grave{ }$a}^2 z^6+3 z^6 $Failed^{-1} +79 z^6+18 \text{QuantumGroups$\grave{ }$a}^7 z^5+11 \text{QuantumGroups$\grave{ }$a}^5 z^5-27 \text{QuantumGroups$\grave{ }$a}^3 z^5+20 z^5 $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^8 z^4-20 \text{QuantumGroups$\grave{ }$a}^6 z^4-92 \text{QuantumGroups$\grave{ }$a}^4 z^4-121 \text{QuantumGroups$\grave{ }$a}^2 z^4+z^4 $Failed^{-1} -53 z^4-9 \text{QuantumGroups$\grave{ }$a}^7 z^3-5 \text{QuantumGroups$\grave{ }$a}^5 z^3+11 \text{QuantumGroups$\grave{ }$a}^3 z^3-\text{QuantumGroups$\grave{ }$a} z^3-6 z^3 $Failed^{-1} +2 z^3 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^8 z^2+9 \text{QuantumGroups$\grave{ }$a}^6 z^2+37 \text{QuantumGroups$\grave{ }$a}^4 z^2+40 \text{QuantumGroups$\grave{ }$a}^2 z^2-2 z^2 $Failed^{-1} +12 z^2+2 \text{QuantumGroups$\grave{ }$a}^7 z+\text{QuantumGroups$\grave{ }$a}^5 z-4 \text{QuantumGroups$\grave{ }$a}^3 z-4 \text{QuantumGroups$\grave{ }$a} z-2 z $Failed^{-1} -z $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^6-5 \text{QuantumGroups$\grave{ }$a}^4-3 \text{QuantumGroups$\grave{ }$a}^2+ $Failed^{-1} +2 }[/math]



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