K14a7396
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Polynomial invariants
| Jones polynomial | Data:K14a7396/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^4+22 t^3-67 t^2+118 t-139+118 t^{-1} -67 t^{-2} +22 t^{-3} -3 t^{-4} }[/math] |
| Conway polynomial | Data:K14a7396/Conway Polynomial |
| Determinant | Data:K14a7396/Determinant |
| Signature | Data:K14a7396/Signature |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -2 z^8 a^{-4} -7 z^6 a^{-4} +3 z^6 a^{-6} +2 z^6-a^2 z^4+6 z^4 a^{-2} -11 z^4 a^{-4} +8 z^4 a^{-6} -z^4 a^{-8} +4 z^4-2 a^2 z^2+7 z^2 a^{-2} -10 z^2 a^{-4} +6 z^2 a^{-6} -2 z^2 a^{-8} +z^2+3 a^{-2} -3 a^{-4} + a^{-6} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{13} $Failed^{-1} +3 z^{13} $Failed^{-1} +11 z^{12} $Failed^{-1} +22 z^{12} $Failed^{-1} +11 z^{12} $Failed^{-1} +17 z^{11} $Failed^{-1} +33 z^{11} $Failed^{-1} +34 z^{11} $Failed^{-1} +18 z^{11} $Failed^{-1} -2 z^{10} $Failed^{-1} -26 z^{10} $Failed^{-1} +9 z^{10} $Failed^{-1} +18 z^{10} $Failed^{-1} +15 z^{10}+9 \text{QuantumGroups$\grave{ }$a} z^9-42 z^9 $Failed^{-1} -113 z^9 $Failed^{-1} -97 z^9 $Failed^{-1} -23 z^9 $Failed^{-1} +12 z^9 $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^2 z^8-53 z^8 $Failed^{-1} -32 z^8 $Failed^{-1} -63 z^8 $Failed^{-1} -34 z^8 $Failed^{-1} +5 z^8 $Failed^{-1} -41 z^8+\text{QuantumGroups$\grave{ }$a}^3 z^7-23 \text{QuantumGroups$\grave{ }$a} z^7+48 z^7 $Failed^{-1} +159 z^7 $Failed^{-1} +104 z^7 $Failed^{-1} -10 z^7 $Failed^{-1} -26 z^7 $Failed^{-1} +z^7 $Failed^{-1} -11 \text{QuantumGroups$\grave{ }$a}^2 z^6+108 z^6 $Failed^{-1} +89 z^6 $Failed^{-1} +66 z^6 $Failed^{-1} +15 z^6 $Failed^{-1} -11 z^6 $Failed^{-1} +48 z^6-3 \text{QuantumGroups$\grave{ }$a}^3 z^5+18 \text{QuantumGroups$\grave{ }$a} z^5-28 z^5 $Failed^{-1} -108 z^5 $Failed^{-1} -59 z^5 $Failed^{-1} +21 z^5 $Failed^{-1} +19 z^5 $Failed^{-1} -2 z^5 $Failed^{-1} +8 \text{QuantumGroups$\grave{ }$a}^2 z^4-83 z^4 $Failed^{-1} -72 z^4 $Failed^{-1} -34 z^4 $Failed^{-1} +2 z^4 $Failed^{-1} +8 z^4 $Failed^{-1} -31 z^4+2 \text{QuantumGroups$\grave{ }$a}^3 z^3-6 \text{QuantumGroups$\grave{ }$a} z^3+9 z^3 $Failed^{-1} +35 z^3 $Failed^{-1} +12 z^3 $Failed^{-1} -13 z^3 $Failed^{-1} -6 z^3 $Failed^{-1} +z^3 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^2 z^2+27 z^2 $Failed^{-1} +25 z^2 $Failed^{-1} +8 z^2 $Failed^{-1} -2 z^2 $Failed^{-1} -2 z^2 $Failed^{-1} +8 z^2-2 z $Failed^{-1} -3 z $Failed^{-1} +z $Failed^{-1} +3 z $Failed^{-1} +z $Failed^{-1} -3 $Failed^{-1} -3 $Failed^{-1} - $Failed^{-1} }[/math] |
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