K14a13966
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Polynomial invariants
| Jones polynomial | Data:K14a13966/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-17 t^3+66 t^2-144 t+187-144 t^{-1} +66 t^{-2} -17 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K14a13966/Conway Polynomial |
| Determinant | Data:K14a13966/Determinant |
| Signature | Data:K14a13966/Signature |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +z^8-3 a^2 z^6+3 z^6 a^{-2} -z^6 a^{-4} +3 a^4 z^4-3 a^2 z^4+8 z^4 a^{-2} -2 z^4 a^{-4} -2 z^4-a^6 z^2+2 a^4 z^2-a^2 z^2+6 z^2 a^{-2} -3 z^2 a^{-4} -4 z^2+a^2+ a^{-2} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 5 \text{QuantumGroups$\grave{ }$a} z^{13}+5 z^{13} $Failed^{-1} +14 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+19 z^{12} $Failed^{-1} +33 z^{12}+19 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+34 \text{QuantumGroups$\grave{ }$a} z^{11}+45 z^{11} $Failed^{-1} +30 z^{11} $Failed^{-1} +18 \text{QuantumGroups$\grave{ }$a}^4 z^{10}-16 z^{10} $Failed^{-1} +26 z^{10} $Failed^{-1} -60 z^{10}+12 \text{QuantumGroups$\grave{ }$a}^5 z^9-22 \text{QuantumGroups$\grave{ }$a}^3 z^9-103 \text{QuantumGroups$\grave{ }$a} z^9-164 z^9 $Failed^{-1} -81 z^9 $Failed^{-1} +14 z^9 $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^6 z^8-32 \text{QuantumGroups$\grave{ }$a}^4 z^8-40 \text{QuantumGroups$\grave{ }$a}^2 z^8-56 z^8 $Failed^{-1} -73 z^8 $Failed^{-1} +5 z^8 $Failed^{-1} +19 z^8+\text{QuantumGroups$\grave{ }$a}^7 z^7-26 \text{QuantumGroups$\grave{ }$a}^5 z^7-12 \text{QuantumGroups$\grave{ }$a}^3 z^7+118 \text{QuantumGroups$\grave{ }$a} z^7+226 z^7 $Failed^{-1} +89 z^7 $Failed^{-1} -33 z^7 $Failed^{-1} +z^7 $Failed^{-1} -11 \text{QuantumGroups$\grave{ }$a}^6 z^6+13 \text{QuantumGroups$\grave{ }$a}^4 z^6+35 \text{QuantumGroups$\grave{ }$a}^2 z^6+119 z^6 $Failed^{-1} +80 z^6 $Failed^{-1} -10 z^6 $Failed^{-1} +40 z^6-2 \text{QuantumGroups$\grave{ }$a}^7 z^5+20 \text{QuantumGroups$\grave{ }$a}^5 z^5+20 \text{QuantumGroups$\grave{ }$a}^3 z^5-84 \text{QuantumGroups$\grave{ }$a} z^5-152 z^5 $Failed^{-1} -46 z^5 $Failed^{-1} +22 z^5 $Failed^{-1} -2 z^5 $Failed^{-1} +8 \text{QuantumGroups$\grave{ }$a}^6 z^4+4 \text{QuantumGroups$\grave{ }$a}^4 z^4-14 \text{QuantumGroups$\grave{ }$a}^2 z^4-81 z^4 $Failed^{-1} -42 z^4 $Failed^{-1} +2 z^4 $Failed^{-1} -47 z^4+\text{QuantumGroups$\grave{ }$a}^7 z^3-6 \text{QuantumGroups$\grave{ }$a}^5 z^3-2 \text{QuantumGroups$\grave{ }$a}^3 z^3+35 \text{QuantumGroups$\grave{ }$a} z^3+50 z^3 $Failed^{-1} +14 z^3 $Failed^{-1} -6 z^3 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^6 z^2-2 \text{QuantumGroups$\grave{ }$a}^4 z^2+4 \text{QuantumGroups$\grave{ }$a}^2 z^2+20 z^2 $Failed^{-1} +9 z^2 $Failed^{-1} +15 z^2-2 \text{QuantumGroups$\grave{ }$a}^3 z-7 \text{QuantumGroups$\grave{ }$a} z-7 z $Failed^{-1} -2 z $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^2- $Failed^{-1} -1 }[/math] |
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