K14a13695
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Polynomial invariants
| Jones polynomial | Data:K14a13695/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+19 t^3-73 t^2+153 t-193+153 t^{-1} -73 t^{-2} +19 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K14a13695/Conway Polynomial |
| Determinant | Data:K14a13695/Determinant |
| Signature | Data:K14a13695/Signature |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -z^8 a^{-4} -z^6 a^{-4} +2 z^6 a^{-6} +2 z^6-a^2 z^4+2 z^4 a^{-2} -3 z^4 a^{-4} +3 z^4 a^{-6} -z^4 a^{-8} +z^4+4 z^2 a^{-2} -5 z^2 a^{-4} +3 z^2 a^{-6} -z^2 a^{-8} -z^2+3 a^{-2} -3 a^{-4} + a^{-6} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 5 z^{13} $Failed^{-1} +5 z^{13} $Failed^{-1} +17 z^{12} $Failed^{-1} +35 z^{12} $Failed^{-1} +18 z^{12} $Failed^{-1} +28 z^{11} $Failed^{-1} +49 z^{11} $Failed^{-1} +48 z^{11} $Failed^{-1} +27 z^{11} $Failed^{-1} +12 z^{10} $Failed^{-1} -50 z^{10} $Failed^{-1} -11 z^{10} $Failed^{-1} +23 z^{10} $Failed^{-1} +28 z^{10}+17 \text{QuantumGroups$\grave{ }$a} z^9-41 z^9 $Failed^{-1} -143 z^9 $Failed^{-1} -166 z^9 $Failed^{-1} -68 z^9 $Failed^{-1} +13 z^9 $Failed^{-1} +6 \text{QuantumGroups$\grave{ }$a}^2 z^8-97 z^8 $Failed^{-1} -26 z^8 $Failed^{-1} -59 z^8 $Failed^{-1} -61 z^8 $Failed^{-1} +5 z^8 $Failed^{-1} -58 z^8+\text{QuantumGroups$\grave{ }$a}^3 z^7-33 \text{QuantumGroups$\grave{ }$a} z^7-z^7 $Failed^{-1} +145 z^7 $Failed^{-1} +215 z^7 $Failed^{-1} +71 z^7 $Failed^{-1} -31 z^7 $Failed^{-1} +z^7 $Failed^{-1} -9 \text{QuantumGroups$\grave{ }$a}^2 z^6+98 z^6 $Failed^{-1} +91 z^6 $Failed^{-1} +114 z^6 $Failed^{-1} +62 z^6 $Failed^{-1} -11 z^6 $Failed^{-1} +39 z^6-\text{QuantumGroups$\grave{ }$a}^3 z^5+19 \text{QuantumGroups$\grave{ }$a} z^5+10 z^5 $Failed^{-1} -82 z^5 $Failed^{-1} -125 z^5 $Failed^{-1} -30 z^5 $Failed^{-1} +21 z^5 $Failed^{-1} -2 z^5 $Failed^{-1} +3 \text{QuantumGroups$\grave{ }$a}^2 z^4-43 z^4 $Failed^{-1} -63 z^4 $Failed^{-1} -67 z^4 $Failed^{-1} -27 z^4 $Failed^{-1} +4 z^4 $Failed^{-1} -13 z^4-3 \text{QuantumGroups$\grave{ }$a} z^3+2 z^3 $Failed^{-1} +25 z^3 $Failed^{-1} +28 z^3 $Failed^{-1} +3 z^3 $Failed^{-1} -5 z^3 $Failed^{-1} +11 z^2 $Failed^{-1} +17 z^2 $Failed^{-1} +12 z^2 $Failed^{-1} +3 z^2 $Failed^{-1} +3 z^2-z $Failed^{-1} -z $Failed^{-1} +z $Failed^{-1} +z $Failed^{-1} -3 $Failed^{-1} -3 $Failed^{-1} - $Failed^{-1} }[/math] |
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