K12n797
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{11}-3 q^{10}+5 q^9-8 q^8+9 q^7-9 q^6+9 q^5-7 q^4+5 q^3-2 q^2+q }[/math] |
| Alexander polynomial | [math]\displaystyle{ -3 t^2+15 t-23+15 t^{-1} -3 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ -3 z^4+3 z^2+1 }[/math] |
| Determinant | 59 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -2 z^4 a^{-6} -z^4 a^{-8} +z^2 a^{-2} +4 z^2 a^{-4} -3 z^2 a^{-6} +z^2 a^{-10} +3 a^{-4} -2 a^{-6} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{10} a^{-8} +2 z^{10} a^{-10} +5 z^9 a^{-7} +8 z^9 a^{-9} +3 z^9 a^{-11} +5 z^8 a^{-6} -2 z^8 a^{-8} -6 z^8 a^{-10} +z^8 a^{-12} +2 z^7 a^{-5} -20 z^7 a^{-7} -38 z^7 a^{-9} -16 z^7 a^{-11} -19 z^6 a^{-6} -18 z^6 a^{-8} -4 z^6 a^{-10} -5 z^6 a^{-12} -3 z^5 a^{-5} +23 z^5 a^{-7} +53 z^5 a^{-9} +27 z^5 a^{-11} +5 z^4 a^{-4} +22 z^4 a^{-6} +26 z^4 a^{-8} +17 z^4 a^{-10} +8 z^4 a^{-12} +2 z^3 a^{-3} -z^3 a^{-5} -15 z^3 a^{-7} -28 z^3 a^{-9} -16 z^3 a^{-11} +z^2 a^{-2} -8 z^2 a^{-4} -13 z^2 a^{-6} -7 z^2 a^{-8} -7 z^2 a^{-10} -4 z^2 a^{-12} +5 z a^{-7} +7 z a^{-9} +2 z a^{-11} +3 a^{-4} +2 a^{-6} }[/math] |
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