K14a6955
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Polynomial invariants
| Jones polynomial | Data:K14a6955/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-11 t^3+49 t^2-115 t+153-115 t^{-1} +49 t^{-2} -11 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K14a6955/Conway Polynomial |
| Determinant | Data:K14a6955/Determinant |
| Signature | Data:K14a6955/Signature |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8-3 a^2 z^6-3 z^6 a^{-2} +3 z^6+3 a^4 z^4-6 a^2 z^4-6 z^4 a^{-2} +3 z^4 a^{-4} +9 z^4-a^6 z^2+3 a^4 z^2-7 a^2 z^2-7 z^2 a^{-2} +3 z^2 a^{-4} -z^2 a^{-6} +8 z^2+a^4-2 a^2-2 a^{-2} + a^{-4} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ \text{QuantumGroups$\grave{ }$a} z^{13}+z^{13} $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+5 z^{12} $Failed^{-1} +10 z^{12}+11 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+26 \text{QuantumGroups$\grave{ }$a} z^{11}+26 z^{11} $Failed^{-1} +11 z^{11} $Failed^{-1} +14 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+26 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+26 z^{10} $Failed^{-1} +14 z^{10} $Failed^{-1} +24 z^{10}+11 \text{QuantumGroups$\grave{ }$a}^5 z^9+\text{QuantumGroups$\grave{ }$a}^3 z^9-34 \text{QuantumGroups$\grave{ }$a} z^9-34 z^9 $Failed^{-1} +z^9 $Failed^{-1} +11 z^9 $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^6 z^8-24 \text{QuantumGroups$\grave{ }$a}^4 z^8-75 \text{QuantumGroups$\grave{ }$a}^2 z^8-75 z^8 $Failed^{-1} -24 z^8 $Failed^{-1} +5 z^8 $Failed^{-1} -92 z^8+\text{QuantumGroups$\grave{ }$a}^7 z^7-26 \text{QuantumGroups$\grave{ }$a}^5 z^7-47 \text{QuantumGroups$\grave{ }$a}^3 z^7-26 \text{QuantumGroups$\grave{ }$a} z^7-26 z^7 $Failed^{-1} -47 z^7 $Failed^{-1} -26 z^7 $Failed^{-1} +z^7 $Failed^{-1} -12 \text{QuantumGroups$\grave{ }$a}^6 z^6+3 \text{QuantumGroups$\grave{ }$a}^4 z^6+53 \text{QuantumGroups$\grave{ }$a}^2 z^6+53 z^6 $Failed^{-1} +3 z^6 $Failed^{-1} -12 z^6 $Failed^{-1} +76 z^6-2 \text{QuantumGroups$\grave{ }$a}^7 z^5+20 \text{QuantumGroups$\grave{ }$a}^5 z^5+51 \text{QuantumGroups$\grave{ }$a}^3 z^5+54 \text{QuantumGroups$\grave{ }$a} z^5+54 z^5 $Failed^{-1} +51 z^5 $Failed^{-1} +20 z^5 $Failed^{-1} -2 z^5 $Failed^{-1} +9 \text{QuantumGroups$\grave{ }$a}^6 z^4+11 \text{QuantumGroups$\grave{ }$a}^4 z^4-2 \text{QuantumGroups$\grave{ }$a}^2 z^4-2 z^4 $Failed^{-1} +11 z^4 $Failed^{-1} +9 z^4 $Failed^{-1} -8 z^4+\text{QuantumGroups$\grave{ }$a}^7 z^3-6 \text{QuantumGroups$\grave{ }$a}^5 z^3-18 \text{QuantumGroups$\grave{ }$a}^3 z^3-20 \text{QuantumGroups$\grave{ }$a} z^3-20 z^3 $Failed^{-1} -18 z^3 $Failed^{-1} -6 z^3 $Failed^{-1} +z^3 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^6 z^2-6 \text{QuantumGroups$\grave{ }$a}^4 z^2-9 \text{QuantumGroups$\grave{ }$a}^2 z^2-9 z^2 $Failed^{-1} -6 z^2 $Failed^{-1} -2 z^2 $Failed^{-1} -10 z^2+\text{QuantumGroups$\grave{ }$a}^3 z+\text{QuantumGroups$\grave{ }$a} z+z $Failed^{-1} +z $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^4+2 \text{QuantumGroups$\grave{ }$a}^2+2 $Failed^{-1} + $Failed^{-1} +3 }[/math] |
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