K13n2927
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Polynomial invariants
| Jones polynomial | Data:K13n2927/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+9 t^2-18 t+23-18 t^{-1} +9 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2927/Conway Polynomial |
| Determinant | 81 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -z^6 a^{-4} -2 z^4 a^{-2} -3 z^4 a^{-4} +z^4 a^{-6} +z^4+z^2 a^{-2} -3 z^2 a^{-4} +2 z^2 a^{-6} +a^2+3 a^{-2} - a^{-4} -2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +3 z^{10} a^{-2} +6 z^{10} a^{-4} +3 z^{10} a^{-6} +3 z^9 a^{-1} +3 z^9 a^{-3} +3 z^9 a^{-5} +3 z^9 a^{-7} -11 z^8 a^{-2} -26 z^8 a^{-4} -13 z^8 a^{-6} +z^8 a^{-8} +z^8-11 z^7 a^{-1} -26 z^7 a^{-3} -31 z^7 a^{-5} -16 z^7 a^{-7} +16 z^6 a^{-2} +37 z^6 a^{-4} +15 z^6 a^{-6} -5 z^6 a^{-8} -z^6+a z^5+15 z^5 a^{-1} +42 z^5 a^{-3} +55 z^5 a^{-5} +27 z^5 a^{-7} -20 z^4 a^{-2} -32 z^4 a^{-4} -6 z^4 a^{-6} +7 z^4 a^{-8} -z^4+2 a z^3-8 z^3 a^{-1} -31 z^3 a^{-3} -37 z^3 a^{-5} -16 z^3 a^{-7} +2 a^2 z^2+14 z^2 a^{-2} +15 z^2 a^{-4} +3 z^2 a^{-6} -2 z^2 a^{-8} +6 z^2-a z+z a^{-1} +7 z a^{-3} +7 z a^{-5} +2 z a^{-7} -a^2-3 a^{-2} - a^{-4} -2 }[/math] |
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